TSTP Solution File: GRP372-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP372-1 : 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 : 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 10:41:06 EDT 2023
% Result : Unsatisfiable 14.00s 5.33s
% Output : CNFRefutation 14.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 509 ( 416 unt; 11 typ; 0 def)
% Number of atoms : 715 ( 687 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 449 ( 232 ~; 217 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 234 (; 234 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
! [X5,X3,X1,X2,X4] :
( ( inverse(sk_c8) != sk_c7 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(X4,sk_c7) != sk_c6 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X5,sk_c8) != X2 )
| ( inverse(X5) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10811,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_10850,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_10811]) ).
tff(c_12550,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10850]) ).
tff(c_10862,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_10850]) ).
tff(c_12802,plain,
! [X_206,Z_207] : ( multiply(inverse(inverse(X_206)),Z_207) = multiply(X_206,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_12550,c_10862]) ).
tff(c_12586,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12550]) ).
tff(c_12809,plain,
! [X_206] : ( multiply(X_206,identity) = X_206 ),
inference(superposition,[status(thm),theory(equality)],[c_12802,c_12586]) ).
tff(c_179,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_212,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_179]) ).
tff(c_1770,plain,
! [X_49,Z_50] : ( multiply(inverse(X_49),multiply(X_49,Z_50)) = Z_50 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_212]) ).
tff(c_223,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_212]) ).
tff(c_2063,plain,
! [X_54,Z_55] : ( multiply(inverse(inverse(X_54)),Z_55) = multiply(X_54,Z_55) ),
inference(superposition,[status(thm),theory(equality)],[c_1770,c_223]) ).
tff(c_1818,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1770]) ).
tff(c_2070,plain,
! [X_54] : ( multiply(X_54,identity) = X_54 ),
inference(superposition,[status(thm),theory(equality)],[c_2063,c_1818]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_144,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_36,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_121,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_126,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_203,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_179]) ).
tff(c_228,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203]) ).
tff(c_240,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_144,c_228]) ).
tff(c_268,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_212]) ).
tff(c_289,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_240,c_268]) ).
tff(c_332,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_289]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_109,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_346,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_332,c_109]) ).
tff(c_359,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_346,c_4]) ).
tff(c_376,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_359,c_223]) ).
tff(c_388,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_376]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_143,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_80,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_226,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109,c_143,c_80]) ).
tff(c_227,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_226]) ).
tff(c_244,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_240,c_227]) ).
tff(c_393,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_244]) ).
tff(c_72,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_97,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_138,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_304,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_138,c_268]) ).
tff(c_336,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_304]) ).
tff(c_443,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_332,c_2,c_332,c_336]) ).
tff(c_444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_393,c_443]) ).
tff(c_446,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_226]) ).
tff(c_490,plain,
! [Z_23] : ( multiply(sk_c8,multiply(sk_c1,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_203]) ).
tff(c_502,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_144,c_490]) ).
tff(c_506,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_446,c_502]) ).
tff(c_113,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_514,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_506,c_113]) ).
tff(c_101,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_209,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_179]) ).
tff(c_467,plain,
! [Z_22] : ( multiply(sk_c7,multiply(sk_c2,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_209]) ).
tff(c_479,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_138,c_467]) ).
tff(c_1761,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_514,c_479]) ).
tff(c_1829,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1761,c_514]) ).
tff(c_1878,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1829,c_223]) ).
tff(c_1890,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1878]) ).
tff(c_598,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_212]) ).
tff(c_741,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_598,c_223]) ).
tff(c_622,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_598]) ).
tff(c_748,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_741,c_622]) ).
tff(c_515,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_506,c_109]) ).
tff(c_532,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_515,c_4]) ).
tff(c_551,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_532,c_479]) ).
tff(c_585,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_551,c_514]) ).
tff(c_445,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_226]) ).
tff(c_527,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_506,c_506,c_506,c_506,c_506,c_506,c_506,c_445]) ).
tff(c_528,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_527]) ).
tff(c_1735,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_748,c_585,c_2,c_585,c_551,c_585,c_528]) ).
tff(c_562,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_515]) ).
tff(c_586,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_585,c_562]) ).
tff(c_1737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1735,c_586]) ).
tff(c_1738,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_527]) ).
tff(c_9187,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2070,c_1890,c_1761,c_1890,c_2070,c_1890,c_1761,c_1761,c_2070,c_1890,c_1761,c_1890,c_1738]) ).
tff(c_9189,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9187]) ).
tff(c_1831,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1761,c_515]) ).
tff(c_1895,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1890,c_1831]) ).
tff(c_9191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9189,c_1895]) ).
tff(c_9192,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_9187]) ).
tff(c_9194,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9192]) ).
tff(c_9196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9194,c_1895]) ).
tff(c_9199,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_9192]) ).
tff(c_9201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9199,c_1895]) ).
tff(c_9203,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_9272,plain,
! [X_137,Y_138,Z_139] : ( multiply(multiply(X_137,Y_138),Z_139) = multiply(X_137,multiply(Y_138,Z_139)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9314,plain,
! [Z_139] : ( multiply(sk_c7,multiply(sk_c8,Z_139)) = multiply(identity,Z_139) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_9272]) ).
tff(c_9348,plain,
! [Z_141] : ( multiply(sk_c7,multiply(sk_c8,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9314]) ).
tff(c_9378,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_9348]) ).
tff(c_9202,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_9207,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9202,c_4]) ).
tff(c_9372,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9207,c_9348]) ).
tff(c_9433,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9378,c_9372]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_9249,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9203,c_22]) ).
tff(c_9434,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9433,c_9249]) ).
tff(c_9438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9203,c_9434]) ).
tff(c_9440,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_9487,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9440,c_44]) ).
tff(c_9452,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_9510,plain,
! [X_143,Y_144,Z_145] : ( multiply(multiply(X_143,Y_144),Z_145) = multiply(X_143,multiply(Y_144,Z_145)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9549,plain,
! [Z_145] : ( multiply(sk_c8,multiply(sk_c1,Z_145)) = multiply(identity,Z_145) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_9510]) ).
tff(c_9575,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c1,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9549]) ).
tff(c_9587,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9452,c_9575]) ).
tff(c_9591,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9487,c_9587]) ).
tff(c_9605,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9591,c_113]) ).
tff(c_9558,plain,
! [X_2,Z_145] : ( multiply(inverse(X_2),multiply(X_2,Z_145)) = multiply(identity,Z_145) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9510]) ).
tff(c_9663,plain,
! [X_147,Z_148] : ( multiply(inverse(X_147),multiply(X_147,Z_148)) = Z_148 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9558]) ).
tff(c_9705,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_138,c_9663]) ).
tff(c_9723,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9605,c_97,c_9705]) ).
tff(c_9606,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9591,c_109]) ).
tff(c_9629,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9606,c_4]) ).
tff(c_9753,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9723,c_9629]) ).
tff(c_9601,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9591,c_9440]) ).
tff(c_9874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9753,c_2,c_9753,c_9723,c_9601]) ).
tff(c_9876,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_9936,plain,
! [X_150,Y_151,Z_152] : ( multiply(multiply(X_150,Y_151),Z_152) = multiply(X_150,multiply(Y_151,Z_152)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9975,plain,
! [Z_152] : ( multiply(sk_c7,multiply(sk_c8,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_9936]) ).
tff(c_10021,plain,
! [Z_154] : ( multiply(sk_c7,multiply(sk_c8,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9975]) ).
tff(c_10045,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_10021]) ).
tff(c_9875,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_9880,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9875,c_4]) ).
tff(c_10039,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9880,c_10021]) ).
tff(c_10093,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10045,c_10039]) ).
tff(c_46,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_9923,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9440,c_46]) ).
tff(c_10094,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10093,c_9923]) ).
tff(c_10098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9876,c_10094]) ).
tff(c_10100,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_56,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_10159,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10100,c_56]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10145,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_10175,plain,
! [X_156,Y_157,Z_158] : ( multiply(multiply(X_156,Y_157),Z_158) = multiply(X_156,multiply(Y_157,Z_158)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10214,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c1,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_10175]) ).
tff(c_10238,plain,
! [Z_159] : ( multiply(sk_c8,multiply(sk_c1,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10214]) ).
tff(c_10250,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10145,c_10238]) ).
tff(c_10254,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10159,c_10250]) ).
tff(c_10258,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10254,c_10159]) ).
tff(c_10223,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10175]) ).
tff(c_10236,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10223]) ).
tff(c_10380,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10258,c_10236]) ).
tff(c_10386,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10380]) ).
tff(c_10392,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10386,c_101]) ).
tff(c_10544,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_10392,c_2]) ).
tff(c_10268,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10254,c_113]) ).
tff(c_10418,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10386,c_10268]) ).
tff(c_10391,plain,
multiply(sk_c2,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10386,c_10100]) ).
tff(c_10565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10544,c_10418,c_10391]) ).
tff(c_10567,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_10597,plain,
! [X_163,Y_164,Z_165] : ( multiply(multiply(X_163,Y_164),Z_165) = multiply(X_163,multiply(Y_164,Z_165)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10636,plain,
! [Z_165] : ( multiply(sk_c7,multiply(sk_c8,Z_165)) = multiply(identity,Z_165) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_10597]) ).
tff(c_10670,plain,
! [Z_167] : ( multiply(sk_c7,multiply(sk_c8,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10636]) ).
tff(c_10700,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126,c_10670]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_10130,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10100,c_60]) ).
tff(c_10134,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10130,c_4]) ).
tff(c_10691,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10134,c_10670]) ).
tff(c_10732,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10700,c_10691]) ).
tff(c_58,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_10590,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10100,c_58]) ).
tff(c_10733,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10732,c_10590]) ).
tff(c_10737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10567,c_10733]) ).
tff(c_10738,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_10743,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10738,c_4]) ).
tff(c_10844,plain,
! [Z_170] : ( multiply(sk_c7,multiply(sk_c8,Z_170)) = multiply(identity,Z_170) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_10811]) ).
tff(c_10864,plain,
! [Z_171] : ( multiply(sk_c7,multiply(sk_c8,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10844]) ).
tff(c_10885,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10743,c_10864]) ).
tff(c_10739,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_10747,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10739,c_42]) ).
tff(c_10751,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10747,c_4]) ).
tff(c_10882,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_10751,c_10864]) ).
tff(c_11158,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10885,c_10882]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_10787,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10739,c_40]) ).
tff(c_11167,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11158,c_10787]) ).
tff(c_34,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_10773,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10739,c_34]) ).
tff(c_11221,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11167,c_10773]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_10782,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10739,c_38]) ).
tff(c_10879,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10782,c_10864]) ).
tff(c_10914,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10885,c_10882]) ).
tff(c_10923,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10914,c_10787]) ).
tff(c_10955,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10923,c_10773]) ).
tff(c_10966,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10955,c_10955,c_10879]) ).
tff(c_11052,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10966,c_10862]) ).
tff(c_11058,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11052]) ).
tff(c_10974,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10955,c_97]) ).
tff(c_10989,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10974,c_4]) ).
tff(c_11079,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11058,c_10989]) ).
tff(c_11062,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11058,c_10974]) ).
tff(c_11092,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11079,c_11062]) ).
tff(c_10964,plain,
multiply(sk_c5,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10955,c_10885]) ).
tff(c_11061,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11058,c_10964]) ).
tff(c_11067,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11061]) ).
tff(c_11074,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11067,c_10738]) ).
tff(c_11115,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11092,c_11074]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_10792,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10739,c_32]) ).
tff(c_10969,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10955,c_10792]) ).
tff(c_11124,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11115,c_11058,c_10969]) ).
tff(c_10912,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109,c_10792,c_80]) ).
tff(c_10913,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_10912]) ).
tff(c_10965,plain,
multiply(sk_c8,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10955,c_10913]) ).
tff(c_11136,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11124,c_2,c_11115,c_11058,c_10965]) ).
tff(c_11138,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_10912]) ).
tff(c_10860,plain,
! [Z_170] : ( multiply(sk_c7,multiply(sk_c8,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10844]) ).
tff(c_11142,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11138,c_10860]) ).
tff(c_11148,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10879,c_11142]) ).
tff(c_10876,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10792,c_10864]) ).
tff(c_11151,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11148,c_10876]) ).
tff(c_12641,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_11221,c_11151]) ).
tff(c_12645,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12641,c_10862]) ).
tff(c_12651,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12645]) ).
tff(c_11236,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_109]) ).
tff(c_12580,plain,
multiply(inverse(sk_c8),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10743,c_12550]) ).
tff(c_12594,plain,
multiply(sk_c5,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11236,c_12580]) ).
tff(c_12656,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12651,c_12594]) ).
tff(c_12664,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12656]) ).
tff(c_12671,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_12664,c_10738]) ).
tff(c_11238,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_97]) ).
tff(c_11253,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11238,c_4]) ).
tff(c_12707,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12651,c_11253]) ).
tff(c_12658,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12651,c_11238]) ).
tff(c_12733,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12671,c_12707,c_12658]) ).
tff(c_11302,plain,
! [X_176,Z_177] : ( multiply(inverse(X_176),multiply(X_176,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10850]) ).
tff(c_11538,plain,
! [X_180,Z_181] : ( multiply(inverse(inverse(X_180)),Z_181) = multiply(X_180,Z_181) ),
inference(superposition,[status(thm),theory(equality)],[c_11302,c_10862]) ).
tff(c_11353,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11302]) ).
tff(c_11545,plain,
! [X_180] : ( multiply(X_180,identity) = X_180 ),
inference(superposition,[status(thm),theory(equality)],[c_11538,c_11353]) ).
tff(c_11284,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_11221,c_11151]) ).
tff(c_11323,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11284,c_11302]) ).
tff(c_11360,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11323]) ).
tff(c_11152,plain,
multiply(sk_c8,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11148,c_10792]) ).
tff(c_11229,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_11152]) ).
tff(c_11341,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11167,c_11302]) ).
tff(c_11362,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11229,c_10738,c_11341]) ).
tff(c_11380,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11360,c_11362]) ).
tff(c_11137,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10912]) ).
tff(c_11257,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c5 )
| ( inverse(X4_10) != sk_c5 )
| ( multiply(X4_10,sk_c5) != sk_c5 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c5 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_11221,c_11221,c_11148,c_11221,c_11221,c_11137]) ).
tff(c_11258,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_11257]) ).
tff(c_12546,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11545,c_11380,c_2,c_11380,c_11360,c_11380,c_11258]) ).
tff(c_11231,plain,
multiply(sk_c5,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11221,c_10885]) ).
tff(c_11364,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11360,c_11231]) ).
tff(c_11374,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11364]) ).
tff(c_11383,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11380,c_10738]) ).
tff(c_11441,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11374,c_11383]) ).
tff(c_12548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12546,c_11441]) ).
tff(c_12549,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c5 )
| ( inverse(X4_10) != sk_c5 )
| ( multiply(X4_10,sk_c5) != sk_c5 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_11257]) ).
tff(c_19653,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12809,c_12733,c_12651,c_12733,c_12809,c_12651,c_12651,c_12651,c_12809,c_12733,c_12651,c_12733,c_12549]) ).
tff(c_19655,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_19653]) ).
tff(c_12659,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12651,c_11236]) ).
tff(c_12734,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12733,c_12659]) ).
tff(c_19657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19655,c_12734]) ).
tff(c_19658,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_19653]) ).
tff(c_19660,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_19658]) ).
tff(c_19662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19660,c_12734]) ).
tff(c_19665,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_19658]) ).
tff(c_19667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19665,c_12734]) ).
tff(c_19669,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_19710,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19669,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_19715,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_19669,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_19683,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19669,c_18]) ).
tff(c_19687,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19683,c_4]) ).
tff(c_19742,plain,
! [X_288,Y_289,Z_290] : ( multiply(multiply(X_288,Y_289),Z_290) = multiply(X_288,multiply(Y_289,Z_290)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19769,plain,
! [Z_290] : ( multiply(sk_c8,multiply(sk_c4,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_19687,c_19742]) ).
tff(c_19791,plain,
! [Z_291] : ( multiply(sk_c8,multiply(sk_c4,Z_291)) = Z_291 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19769]) ).
tff(c_19803,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19715,c_19791]) ).
tff(c_19807,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19710,c_19803]) ).
tff(c_8,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_19696,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_19669,c_8]) ).
tff(c_19812,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19807,c_19696]) ).
tff(c_19668,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_19817,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19807,c_19668]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_19702,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19669,c_10]) ).
tff(c_19811,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19807,c_19702]) ).
tff(c_19778,plain,
! [X_2,Z_290] : ( multiply(inverse(X_2),multiply(X_2,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19742]) ).
tff(c_19896,plain,
! [X_293,Z_294] : ( multiply(inverse(X_293),multiply(X_293,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19778]) ).
tff(c_19926,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19811,c_19896]) ).
tff(c_19958,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19812,c_19817,c_19926]) ).
tff(c_19964,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19958,c_19958,c_19812]) ).
tff(c_19789,plain,
! [X_2,Z_290] : ( multiply(inverse(X_2),multiply(X_2,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19778]) ).
tff(c_20164,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19964,c_19789]) ).
tff(c_20171,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20164]) ).
tff(c_19816,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19807,c_19669]) ).
tff(c_19969,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19958,c_19958,c_19816]) ).
tff(c_20183,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20171,c_20171,c_19969]) ).
tff(c_19968,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19958,c_19817]) ).
tff(c_20028,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19968,c_4]) ).
tff(c_20230,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20171,c_20028]) ).
tff(c_20184,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20171,c_19968]) ).
tff(c_20245,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20230,c_20184]) ).
tff(c_20246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20183,c_20245]) ).
tff(c_20248,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_74,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_48849,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20248,c_74]) ).
tff(c_34294,plain,
! [X_435,Y_436,Z_437] : ( multiply(multiply(X_435,Y_436),Z_437) = multiply(X_435,multiply(Y_436,Z_437)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34330,plain,
! [X_2,Z_437] : ( multiply(inverse(X_2),multiply(X_2,Z_437)) = multiply(identity,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34294]) ).
tff(c_34442,plain,
! [X_439,Z_440] : ( multiply(inverse(X_439),multiply(X_439,Z_440)) = Z_440 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34330]) ).
tff(c_34341,plain,
! [X_2,Z_437] : ( multiply(inverse(X_2),multiply(X_2,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34330]) ).
tff(c_34741,plain,
! [X_444,Z_445] : ( multiply(inverse(inverse(X_444)),Z_445) = multiply(X_444,Z_445) ),
inference(superposition,[status(thm),theory(equality)],[c_34442,c_34341]) ).
tff(c_34484,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34442]) ).
tff(c_34748,plain,
! [X_444] : ( multiply(X_444,identity) = X_444 ),
inference(superposition,[status(thm),theory(equality)],[c_34741,c_34484]) ).
tff(c_68,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_20288,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20248,c_68]) ).
tff(c_20344,plain,
! [X_298,Y_299,Z_300] : ( multiply(multiply(X_298,Y_299),Z_300) = multiply(X_298,multiply(Y_299,Z_300)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20383,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20344]) ).
tff(c_20472,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_20383]) ).
tff(c_20395,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20383]) ).
tff(c_20821,plain,
! [X_306,Z_307] : ( multiply(inverse(inverse(X_306)),Z_307) = multiply(X_306,Z_307) ),
inference(superposition,[status(thm),theory(equality)],[c_20472,c_20395]) ).
tff(c_20499,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20472]) ).
tff(c_20828,plain,
! [X_306] : ( multiply(X_306,identity) = X_306 ),
inference(superposition,[status(thm),theory(equality)],[c_20821,c_20499]) ).
tff(c_20311,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20248,c_74]) ).
tff(c_76,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_20323,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_20248,c_76]) ).
tff(c_78,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_20270,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_20248,c_78]) ).
tff(c_20274,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20270,c_4]) ).
tff(c_20377,plain,
! [Z_300] : ( multiply(sk_c8,multiply(sk_c4,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_20274,c_20344]) ).
tff(c_20397,plain,
! [Z_301] : ( multiply(sk_c8,multiply(sk_c4,Z_301)) = Z_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20377]) ).
tff(c_20409,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20323,c_20397]) ).
tff(c_20413,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20311,c_20409]) ).
tff(c_20295,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20299,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20295,c_4]) ).
tff(c_20418,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20299]) ).
tff(c_20247,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_20426,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20247]) ).
tff(c_70,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_20318,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20248,c_70]) ).
tff(c_20416,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20318]) ).
tff(c_20542,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20416,c_20395]) ).
tff(c_20548,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20426,c_20542]) ).
tff(c_20646,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20418,c_20548]) ).
tff(c_20420,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20288]) ).
tff(c_20617,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20418,c_20420]) ).
tff(c_20419,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20295]) ).
tff(c_20438,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20413,c_20413,c_20413,c_20413,c_20413,c_20413,c_20413,c_20413,c_20413,c_80]) ).
tff(c_20439,plain,
inverse(sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_20438]) ).
tff(c_20462,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20419,c_20439]) ).
tff(c_20463,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20438]) ).
tff(c_28696,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20828,c_20646,c_20646,c_2,c_20646,c_20646,c_20828,c_20646,c_20646,c_20646,c_20828,c_20646,c_20617,c_20646,c_20828,c_20646,c_20646,c_20646,c_20646,c_2,c_20646,c_20617,c_20646,c_2,c_20646,c_20617,c_20463]) ).
tff(c_28698,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28696]) ).
tff(c_20464,plain,
inverse(sk_c7) = sk_c7,
inference(splitRight,[status(thm)],[c_20438]) ).
tff(c_20654,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20646,c_20646,c_20464]) ).
tff(c_28700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28698,c_20654]) ).
tff(c_28701,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_28696]) ).
tff(c_33029,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28701]) ).
tff(c_33031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33029,c_20654]) ).
tff(c_33032,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_28701]) ).
tff(c_33034,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_33032]) ).
tff(c_33036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33034,c_20654]) ).
tff(c_33801,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_33032]) ).
tff(c_33803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33801,c_20654]) ).
tff(c_33804,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_20252,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20247,c_4]) ).
tff(c_33847,plain,
! [X_427,Y_428,Z_429] : ( multiply(multiply(X_427,Y_428),Z_429) = multiply(X_427,multiply(Y_428,Z_429)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33880,plain,
! [Z_429] : ( multiply(sk_c8,multiply(sk_c3,Z_429)) = multiply(identity,Z_429) ),
inference(superposition,[status(thm),theory(equality)],[c_20252,c_33847]) ).
tff(c_33898,plain,
! [Z_430] : ( multiply(sk_c8,multiply(sk_c3,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33880]) ).
tff(c_33910,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33804,c_33898]) ).
tff(c_33914,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20288,c_33910]) ).
tff(c_33920,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_20288]) ).
tff(c_33883,plain,
! [X_2,Z_429] : ( multiply(inverse(X_2),multiply(X_2,Z_429)) = multiply(identity,Z_429) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33847]) ).
tff(c_33894,plain,
! [X_2,Z_429] : ( multiply(inverse(X_2),multiply(X_2,Z_429)) = Z_429 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33883]) ).
tff(c_34047,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33920,c_33894]) ).
tff(c_34053,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34047]) ).
tff(c_33805,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_33815,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33805,c_14]) ).
tff(c_33916,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_33815]) ).
tff(c_34056,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34053,c_33916]) ).
tff(c_33923,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_20270]) ).
tff(c_33810,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_33805,c_16]) ).
tff(c_33917,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_33810]) ).
tff(c_34003,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33917,c_33894]) ).
tff(c_34009,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33923,c_34003]) ).
tff(c_34147,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34056,c_34009]) ).
tff(c_33919,plain,
inverse(sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_33805]) ).
tff(c_34058,plain,
inverse(sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34053,c_33919]) ).
tff(c_34152,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34147,c_34058]) ).
tff(c_20262,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_33924,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33914,c_20262]) ).
tff(c_33985,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33924,c_4]) ).
tff(c_34200,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34147,c_33985]) ).
tff(c_34157,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34147,c_33924]) ).
tff(c_34215,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34200,c_34157]) ).
tff(c_34216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34152,c_34215]) ).
tff(c_34218,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_34270,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34218,c_38]) ).
tff(c_34265,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_20248,c_76]) ).
tff(c_34217,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_34222,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34217,c_4]) ).
tff(c_34324,plain,
! [Z_437] : ( multiply(sk_c8,multiply(sk_c4,Z_437)) = multiply(identity,Z_437) ),
inference(superposition,[status(thm),theory(equality)],[c_34222,c_34294]) ).
tff(c_34343,plain,
! [Z_438] : ( multiply(sk_c8,multiply(sk_c4,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34324]) ).
tff(c_34355,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34265,c_34343]) ).
tff(c_34359,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34270,c_34355]) ).
tff(c_34235,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_34239,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34235,c_4]) ).
tff(c_34365,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34359,c_34239]) ).
tff(c_34371,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34359,c_20247]) ).
tff(c_34257,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34218,c_34]) ).
tff(c_34363,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34359,c_34257]) ).
tff(c_34466,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34363,c_34442]) ).
tff(c_34493,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34371,c_34466]) ).
tff(c_34555,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34365,c_34493]) ).
tff(c_34248,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20248,c_68]) ).
tff(c_34364,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34359,c_34248]) ).
tff(c_34524,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34365,c_34364]) ).
tff(c_34366,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34359,c_34235]) ).
tff(c_34390,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34359,c_34359,c_34359,c_34359,c_34359,c_34359,c_34359,c_34359,c_34359,c_34359,c_80]) ).
tff(c_34391,plain,
inverse(sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_34390]) ).
tff(c_34400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34366,c_34391]) ).
tff(c_34401,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( multiply(sk_c7,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_34390]) ).
tff(c_43103,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34748,c_34555,c_34555,c_2,c_34555,c_34555,c_34748,c_34555,c_34555,c_34555,c_34748,c_34555,c_34524,c_34555,c_34748,c_34555,c_34555,c_34555,c_34555,c_2,c_34555,c_34524,c_34555,c_2,c_34555,c_34524,c_34401]) ).
tff(c_43105,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_43103]) ).
tff(c_34561,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34555,c_34555,c_34366]) ).
tff(c_43107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43105,c_34561]) ).
tff(c_43108,plain,
! [X1_8,X4_10,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_43103]) ).
tff(c_47960,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_43108]) ).
tff(c_47962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47960,c_34561]) ).
tff(c_47963,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_43108]) ).
tff(c_47965,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_47963]) ).
tff(c_47967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47965,c_34561]) ).
tff(c_48824,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_47963]) ).
tff(c_48826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48824,c_34561]) ).
tff(c_48828,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_48841,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_48828,c_16]) ).
tff(c_48880,plain,
! [X_570,Y_571,Z_572] : ( multiply(multiply(X_570,Y_571),Z_572) = multiply(X_570,multiply(Y_571,Z_572)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_48907,plain,
! [Z_572] : ( multiply(sk_c8,multiply(sk_c4,Z_572)) = multiply(identity,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_34222,c_48880]) ).
tff(c_48925,plain,
! [Z_573] : ( multiply(sk_c8,multiply(sk_c4,Z_573)) = Z_573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48907]) ).
tff(c_48937,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_48841,c_48925]) ).
tff(c_48941,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_48849,c_48937]) ).
tff(c_48834,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20248,c_68]) ).
tff(c_48945,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48941,c_48834]) ).
tff(c_48952,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_48941,c_20247]) ).
tff(c_48827,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_48946,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_48941,c_48827]) ).
tff(c_48913,plain,
! [X_2,Z_572] : ( multiply(inverse(X_2),multiply(X_2,Z_572)) = multiply(identity,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48880]) ).
tff(c_49017,plain,
! [X_574,Z_575] : ( multiply(inverse(X_574),multiply(X_574,Z_575)) = Z_575 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48913]) ).
tff(c_49035,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_48946,c_49017]) ).
tff(c_49069,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_48945,c_48952,c_49035]) ).
tff(c_49073,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49069,c_49069,c_48945]) ).
tff(c_48923,plain,
! [X_2,Z_572] : ( multiply(inverse(X_2),multiply(X_2,Z_572)) = Z_572 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48913]) ).
tff(c_49223,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_49073,c_48923]) ).
tff(c_49230,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49223]) ).
tff(c_48947,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_48941,c_48828]) ).
tff(c_49081,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49069,c_49069,c_48947]) ).
tff(c_49243,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49230,c_49230,c_49081]) ).
tff(c_48950,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_48941,c_34217]) ).
tff(c_48960,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48950,c_4]) ).
tff(c_49076,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49069,c_48960]) ).
tff(c_49237,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49230,c_49076]) ).
tff(c_49372,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_49237,c_48923]) ).
tff(c_49384,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_49372]) ).
tff(c_49080,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49069,c_48950]) ).
tff(c_49242,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49230,c_49080]) ).
tff(c_49388,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49384,c_49242]) ).
tff(c_49392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49243,c_49388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GRP372-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % 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
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:42:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 14.00/5.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.00/5.38
% 14.00/5.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.54/5.45
% 14.54/5.45 Inference rules
% 14.54/5.45 ----------------------
% 14.54/5.45 #Ref : 0
% 14.54/5.45 #Sup : 12067
% 14.54/5.45 #Fact : 0
% 14.54/5.45 #Define : 0
% 14.54/5.45 #Split : 32
% 14.54/5.45 #Chain : 0
% 14.54/5.45 #Close : 0
% 14.54/5.45
% 14.54/5.45 Ordering : KBO
% 14.54/5.45
% 14.54/5.45 Simplification rules
% 14.54/5.45 ----------------------
% 14.54/5.45 #Subsume : 5
% 14.54/5.45 #Demod : 30627
% 14.54/5.45 #Tautology : 9889
% 14.54/5.45 #SimpNegUnit : 97
% 14.54/5.45 #BackRed : 437
% 14.54/5.45
% 14.54/5.45 #Partial instantiations: 0
% 14.54/5.45 #Strategies tried : 1
% 14.54/5.45
% 14.54/5.45 Timing (in seconds)
% 14.54/5.45 ----------------------
% 14.54/5.46 Preprocessing : 0.50
% 14.54/5.46 Parsing : 0.19
% 14.54/5.46 CNF conversion : 0.02
% 14.54/5.46 Main loop : 3.79
% 14.54/5.46 Inferencing : 1.06
% 14.54/5.46 Reduction : 2.06
% 14.54/5.46 Demodulation : 1.86
% 14.54/5.46 BG Simplification : 0.11
% 14.54/5.46 Subsumption : 0.37
% 14.54/5.46 Abstraction : 0.22
% 14.54/5.46 MUC search : 0.00
% 14.54/5.46 Cooper : 0.00
% 14.54/5.46 Total : 4.43
% 14.54/5.46 Index Insertion : 0.00
% 14.54/5.46 Index Deletion : 0.00
% 14.54/5.46 Index Matching : 0.00
% 14.54/5.46 BG Taut test : 0.00
%------------------------------------------------------------------------------