TSTP Solution File: GRP362-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP362-1 : 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 : n012.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 10:41:04 EDT 2023
% Result : Unsatisfiable 42.84s 29.91s
% Output : CNFRefutation 43.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 54
% Syntax : Number of formulae : 501 ( 383 unt; 13 typ; 0 def)
% Number of atoms : 692 ( 669 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 400 ( 196 ~; 204 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 246 (; 246 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_215,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
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_173,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( inverse(sk_c10) = sk_c9 ) ),
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_167,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( multiply(sk_c9,sk_c8) != sk_c10 )
| ( inverse(sk_c9) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c10,X3) != sk_c9 )
| ( multiply(X4,sk_c10) != X3 )
| ( inverse(X4) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c10,X1) != sk_c9 )
| ( multiply(X2,sk_c10) != X1 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X5,X6) != sk_c8 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c9) != sk_c8 )
| ( inverse(X7) != sk_c10 )
| ( multiply(X7,sk_c8) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c9) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(c_108,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_133,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_137,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_80,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_54473,plain,
multiply(sk_c1,sk_c10) = sk_c2,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_54571,plain,
! [X_325,Y_326,Z_327] : ( multiply(multiply(X_325,Y_326),Z_327) = multiply(X_325,multiply(Y_326,Z_327)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_54625,plain,
! [Z_327] : ( multiply(sk_c10,multiply(sk_c1,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_54571]) ).
tff(c_54763,plain,
! [Z_331] : ( multiply(sk_c10,multiply(sk_c1,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54625]) ).
tff(c_54775,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54473,c_54763]) ).
tff(c_180,plain,
multiply(sk_c1,sk_c10) = sk_c2,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_53348,plain,
! [X_301,Y_302,Z_303] : ( multiply(multiply(X_301,Y_302),Z_303) = multiply(X_301,multiply(Y_302,Z_303)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53402,plain,
! [Z_303] : ( multiply(sk_c10,multiply(sk_c1,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_53348]) ).
tff(c_53447,plain,
! [Z_305] : ( multiply(sk_c10,multiply(sk_c1,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53402]) ).
tff(c_53459,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_180,c_53447]) ).
tff(c_53405,plain,
! [X_2,Z_303] : ( multiply(inverse(X_2),multiply(X_2,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53348]) ).
tff(c_53529,plain,
! [X_307,Z_308] : ( multiply(inverse(X_307),multiply(X_307,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53405]) ).
tff(c_53562,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_53459,c_53529]) ).
tff(c_53621,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53562]) ).
tff(c_225,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_258,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_225]) ).
tff(c_1184,plain,
! [X_38,Z_39] : ( multiply(inverse(X_38),multiply(X_38,Z_39)) = Z_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_258]) ).
tff(c_1235,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1184]) ).
tff(c_268,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_258]) ).
tff(c_1482,plain,
! [X_44,Z_45] : ( multiply(inverse(inverse(X_44)),Z_45) = multiply(X_44,Z_45) ),
inference(superposition,[status(thm),theory(equality)],[c_1184,c_268]) ).
tff(c_1530,plain,
! [X_46] : ( multiply(X_46,identity) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_1482,c_1235]) ).
tff(c_1572,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_1235,c_1530]) ).
tff(c_1519,plain,
! [X_44,Z_17] : ( multiply(X_44,multiply(inverse(X_44),Z_17)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_268,c_1482]) ).
tff(c_1317,plain,
! [X_40] : ( multiply(inverse(identity),X_40) = X_40 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1184]) ).
tff(c_1416,plain,
! [X_43] : ( multiply(inverse(inverse(identity)),X_43) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1317,c_268]) ).
tff(c_1437,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1416,c_4]) ).
tff(c_1503,plain,
! [X_44] : ( multiply(X_44,inverse(X_44)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1482,c_4]) ).
tff(c_255,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_225]) ).
tff(c_309,plain,
! [Z_20] : ( multiply(sk_c10,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_255]) ).
tff(c_321,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_180,c_309]) ).
tff(c_76,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_174,plain,
multiply(sk_c10,sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_325,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_174]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_192,plain,
multiply(sk_c9,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_145,plain,
inverse(sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_58,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_163,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_116,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(sk_c9) != sk_c10 )
| ( multiply(sk_c9,sk_c8) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_271,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_145,c_163,c_116]) ).
tff(c_272,plain,
inverse(sk_c10) != sk_c9,
inference(splitLeft,[status(thm)],[c_271]) ).
tff(c_335,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_325,c_272]) ).
tff(c_339,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_325,c_145]) ).
tff(c_344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_335,c_339]) ).
tff(c_346,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_271]) ).
tff(c_350,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_346,c_4]) ).
tff(c_149,plain,
multiply(sk_c10,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_145,c_4]) ).
tff(c_252,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c9,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_225]) ).
tff(c_362,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c9,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_252]) ).
tff(c_374,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_350,c_362]) ).
tff(c_439,plain,
! [Z_23] : ( multiply(sk_c10,multiply(sk_c1,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_255]) ).
tff(c_457,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_180,c_439]) ).
tff(c_461,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_457,c_174]) ).
tff(c_479,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_461,c_145]) ).
tff(c_1229,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_1184]) ).
tff(c_1249,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_374,c_479,c_1229]) ).
tff(c_1252,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1249,c_1249,c_479]) ).
tff(c_478,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_461,c_149]) ).
tff(c_377,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_192,c_362]) ).
tff(c_1165,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_377]) ).
tff(c_1253,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1249,c_461]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_357,plain,
! [Z_5] : ( multiply(sk_c9,multiply(sk_c10,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_350,c_6]) ).
tff(c_360,plain,
! [Z_5] : ( multiply(sk_c9,multiply(sk_c10,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_357]) ).
tff(c_1382,plain,
! [Z_5] : ( multiply(sk_c1,multiply(sk_c1,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_1253,c_1249,c_360]) ).
tff(c_1489,plain,
! [X_44] : ( multiply(X_44,identity) = X_44 ),
inference(superposition,[status(thm),theory(equality)],[c_1482,c_1235]) ).
tff(c_2066,plain,
! [X_55,Y_56,Z_57] : ( multiply(inverse(multiply(X_55,Y_56)),multiply(X_55,multiply(Y_56,Z_57))) = Z_57 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1184]) ).
tff(c_2138,plain,
! [X_55,X_44] : ( multiply(inverse(multiply(X_55,X_44)),multiply(X_55,identity)) = inverse(X_44) ),
inference(superposition,[status(thm),theory(equality)],[c_1503,c_2066]) ).
tff(c_2807,plain,
! [X_67,X_68] : ( multiply(inverse(multiply(X_67,X_68)),X_67) = inverse(X_68) ),
inference(demodulation,[status(thm),theory(equality)],[c_1489,c_2138]) ).
tff(c_2918,plain,
! [Z_5] : ( multiply(inverse(Z_5),sk_c1) = inverse(multiply(sk_c1,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_1382,c_2807]) ).
tff(c_475,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_461,c_346]) ).
tff(c_533,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_258]) ).
tff(c_581,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_533]) ).
tff(c_602,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_374,c_475,c_581]) ).
tff(c_836,plain,
! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_533,c_268]) ).
tff(c_587,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_533]) ).
tff(c_843,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_836,c_587]) ).
tff(c_489,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_475,c_4]) ).
tff(c_505,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_489,c_377]) ).
tff(c_345,plain,
! [X4_12,X2_11,X5_6,X7_9] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_271]) ).
tff(c_484,plain,
! [X4_12,X2_11,X5_6,X7_9] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_461,c_461,c_461,c_345]) ).
tff(c_485,plain,
! [X7_9] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_484]) ).
tff(c_1135,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_602,c_843,c_602,c_505,c_485]) ).
tff(c_605,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_602,c_602,c_475]) ).
tff(c_1137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1135,c_605]) ).
tff(c_1138,plain,
! [X5_6,X2_11,X4_12] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_484]) ).
tff(c_8532,plain,
! [X5_6,X2_11,X4_12] :
( ( inverse(multiply(sk_c1,X5_6)) != identity )
| ( inverse(X2_11) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_11,sk_c1)) != sk_c1 )
| ( inverse(X4_12) != sk_c1 )
| ( multiply(sk_c1,multiply(X4_12,sk_c1)) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1249,c_1249,c_1249,c_1249,c_1249,c_1249,c_1249,c_1249,c_1503,c_1165,c_2918,c_1249,c_1165,c_1138]) ).
tff(c_8534,plain,
! [X4_122] :
( ( inverse(X4_122) != sk_c1 )
| ( multiply(sk_c1,multiply(X4_122,sk_c1)) != sk_c1 ) ),
inference(splitLeft,[status(thm)],[c_8532]) ).
tff(c_8567,plain,
inverse(inverse(sk_c1)) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1519,c_8534]) ).
tff(c_8596,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1252,c_1252,c_8567]) ).
tff(c_8597,plain,
! [X2_11,X5_6] :
( ( inverse(X2_11) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_11,sk_c1)) != sk_c1 )
| ( inverse(multiply(sk_c1,X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_8532]) ).
tff(c_53081,plain,
! [X5_299] : ( inverse(multiply(sk_c1,X5_299)) != identity ),
inference(splitLeft,[status(thm)],[c_8597]) ).
tff(c_53127,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1503,c_53081]) ).
tff(c_53148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1437,c_53127]) ).
tff(c_53150,plain,
! [X2_300] :
( ( inverse(X2_300) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_300,sk_c1)) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_8597]) ).
tff(c_53217,plain,
inverse(inverse(sk_c1)) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1519,c_53150]) ).
tff(c_53253,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1572,c_53217]) ).
tff(c_53255,plain,
multiply(sk_c9,sk_c8) != sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_53268,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53255,c_8]) ).
tff(c_53272,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53268,c_4]) ).
tff(c_53399,plain,
! [Z_303] : ( multiply(sk_c10,multiply(sk_c9,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_53348]) ).
tff(c_53421,plain,
! [Z_304] : ( multiply(sk_c10,multiply(sk_c9,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53399]) ).
tff(c_53433,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53272,c_53421]) ).
tff(c_53463,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53459,c_174]) ).
tff(c_53479,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53463,c_145]) ).
tff(c_53604,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_53529]) ).
tff(c_53630,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_53433,c_53479,c_53604]) ).
tff(c_53655,plain,
multiply(sk_c1,sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_53630,c_53630,c_53459]) ).
tff(c_53765,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_53621,c_53655]) ).
tff(c_53478,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53463,c_149]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_53282,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53255,c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_53326,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53255,c_24]) ).
tff(c_53580,plain,
multiply(inverse(sk_c7),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53326,c_53529]) ).
tff(c_53626,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53478,c_53282,c_53580]) ).
tff(c_53476,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_53463,c_53255]) ).
tff(c_53791,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53765,c_53630,c_53630,c_53626,c_53476]) ).
tff(c_53792,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_53797,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53792,c_4]) ).
tff(c_53898,plain,
! [X_310,Y_311,Z_312] : ( multiply(multiply(X_310,Y_311),Z_312) = multiply(X_310,multiply(Y_311,Z_312)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_53949,plain,
! [Z_312] : ( multiply(sk_c10,multiply(sk_c9,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_53898]) ).
tff(c_54084,plain,
! [Z_317] : ( multiply(sk_c10,multiply(sk_c9,Z_317)) = Z_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53949]) ).
tff(c_54099,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53797,c_54084]) ).
tff(c_53793,plain,
multiply(sk_c1,sk_c10) != sk_c2,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_84,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_53893,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_53793,c_84]) ).
tff(c_86,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_53824,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_53793,c_86]) ).
tff(c_53828,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53824,c_4]) ).
tff(c_53934,plain,
! [Z_312] : ( multiply(sk_c10,multiply(sk_c3,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_53828,c_53898]) ).
tff(c_54161,plain,
! [Z_321] : ( multiply(sk_c10,multiply(sk_c3,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53934]) ).
tff(c_54173,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_53893,c_54161]) ).
tff(c_82,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_53869,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_53793,c_82]) ).
tff(c_54177,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54173,c_53869]) ).
tff(c_54194,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54177,c_145]) ).
tff(c_53955,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53898]) ).
tff(c_54243,plain,
! [X_322,Z_323] : ( multiply(inverse(X_322),multiply(X_322,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53955]) ).
tff(c_54312,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_54243]) ).
tff(c_54337,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_54099,c_54194,c_54312]) ).
tff(c_54371,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_54337,c_133]) ).
tff(c_54440,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54371,c_4]) ).
tff(c_54191,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54177,c_174]) ).
tff(c_54267,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_54191,c_54243]) ).
tff(c_54326,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_54267]) ).
tff(c_54369,plain,
multiply(sk_c1,sk_c1) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_54337,c_53793]) ).
tff(c_54458,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54440,c_54326,c_54369]) ).
tff(c_54460,plain,
multiply(sk_c10,sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_54826,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54775,c_54460]) ).
tff(c_66,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_54531,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_54460,c_66]) ).
tff(c_68,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_54517,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54460,c_68]) ).
tff(c_54521,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54517,c_4]) ).
tff(c_54601,plain,
! [Z_327] : ( multiply(sk_c10,multiply(sk_c3,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_54521,c_54571]) ).
tff(c_54914,plain,
! [Z_335] : ( multiply(sk_c10,multiply(sk_c3,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54601]) ).
tff(c_54929,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54531,c_54914]) ).
tff(c_64,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_54556,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_54460,c_64]) ).
tff(c_54933,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_54929,c_54556]) ).
tff(c_54935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54826,c_54933]) ).
tff(c_54936,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_54941,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54936,c_4]) ).
tff(c_56121,plain,
! [X_356,Y_357,Z_358] : ( multiply(multiply(X_356,Y_357),Z_358) = multiply(X_356,multiply(Y_357,Z_358)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_56166,plain,
! [Z_358] : ( multiply(sk_c10,multiply(sk_c9,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_56121]) ).
tff(c_56188,plain,
! [Z_359] : ( multiply(sk_c10,multiply(sk_c9,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56166]) ).
tff(c_56200,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54941,c_56188]) ).
tff(c_54937,plain,
multiply(sk_c1,sk_c10) != sk_c2,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_56082,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_54937,c_84]) ).
tff(c_54968,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54937,c_86]) ).
tff(c_54972,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54968,c_4]) ).
tff(c_56151,plain,
! [Z_358] : ( multiply(sk_c10,multiply(sk_c3,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_54972,c_56121]) ).
tff(c_56286,plain,
! [Z_364] : ( multiply(sk_c10,multiply(sk_c3,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56151]) ).
tff(c_56298,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_56082,c_56286]) ).
tff(c_56104,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_54937,c_82]) ).
tff(c_56302,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56298,c_56104]) ).
tff(c_56315,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56302,c_54936]) ).
tff(c_56172,plain,
! [X_2,Z_358] : ( multiply(inverse(X_2),multiply(X_2,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56121]) ).
tff(c_56332,plain,
! [X_365,Z_366] : ( multiply(inverse(X_365),multiply(X_365,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56172]) ).
tff(c_56407,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_56332]) ).
tff(c_56435,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_56200,c_56315,c_56407]) ).
tff(c_56462,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_56435,c_56435,c_56200]) ).
tff(c_55040,plain,
! [X_336,Y_337,Z_338] : ( multiply(multiply(X_336,Y_337),Z_338) = multiply(X_336,multiply(Y_337,Z_338)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55088,plain,
! [Z_338] : ( multiply(sk_c10,multiply(sk_c9,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_55040]) ).
tff(c_55299,plain,
! [Z_344] : ( multiply(sk_c10,multiply(sk_c9,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55088]) ).
tff(c_55314,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_54941,c_55299]) ).
tff(c_55079,plain,
! [Z_338] : ( multiply(sk_c9,multiply(sk_c10,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_54941,c_55040]) ).
tff(c_55362,plain,
! [Z_347] : ( multiply(sk_c9,multiply(sk_c10,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55079]) ).
tff(c_55392,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_54972,c_55362]) ).
tff(c_55401,plain,
multiply(sk_c9,identity) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_149,c_55362]) ).
tff(c_55739,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55392,c_55401]) ).
tff(c_55746,plain,
inverse(sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55739,c_54936]) ).
tff(c_55759,plain,
multiply(sk_c3,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55746,c_4]) ).
tff(c_55032,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_54937,c_84]) ).
tff(c_55763,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55759,c_55032]) ).
tff(c_55021,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_54460,c_64]) ).
tff(c_55744,plain,
multiply(sk_c10,sk_c4) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55739,c_55021]) ).
tff(c_55781,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55314,c_55763,c_55744]) ).
tff(c_55784,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55781,c_55739]) ).
tff(c_55404,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_55362]) ).
tff(c_55843,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_55314,c_55784,c_55404]) ).
tff(c_55854,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_55843,c_133]) ).
tff(c_55915,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55854,c_4]) ).
tff(c_55389,plain,
multiply(sk_c9,sk_c9) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_55021,c_55362]) ).
tff(c_55398,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_163,c_55362]) ).
tff(c_55727,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_55389,c_55398]) ).
tff(c_55772,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55763,c_55727]) ).
tff(c_55091,plain,
! [Z_338] : ( multiply(sk_c10,multiply(sk_c1,Z_338)) = multiply(identity,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_137,c_55040]) ).
tff(c_55107,plain,
! [Z_338] : ( multiply(sk_c10,multiply(sk_c1,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55091]) ).
tff(c_55643,plain,
sk_c9 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55392,c_55401]) ).
tff(c_55650,plain,
inverse(sk_c10) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55643,c_54936]) ).
tff(c_55663,plain,
multiply(sk_c3,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_55650,c_4]) ).
tff(c_55667,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_55663,c_55032]) ).
tff(c_55648,plain,
multiply(sk_c10,sk_c4) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55643,c_55021]) ).
tff(c_55685,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55314,c_55667,c_55648]) ).
tff(c_55688,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55685,c_55643]) ).
tff(c_55466,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_55404,c_55392]) ).
tff(c_55446,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_55389,c_55398]) ).
tff(c_54459,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_54464,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54459,c_4]) ).
tff(c_55395,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_54464,c_55362]) ).
tff(c_55435,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_55392,c_55395]) ).
tff(c_78,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_55013,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_54460,c_78]) ).
tff(c_55436,plain,
multiply(sk_c3,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55435,c_55013]) ).
tff(c_55458,plain,
multiply(sk_c3,sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55446,c_55436]) ).
tff(c_55496,plain,
multiply(sk_c1,sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_55466,c_55458]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_54996,plain,
multiply(sk_c9,sk_c8) = sk_c10,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_55111,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54996,c_145,c_163,c_54936,c_116]) ).
tff(c_55259,plain,
! [X4_343] :
( ( inverse(X4_343) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_343,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_55111]) ).
tff(c_55277,plain,
( ( inverse(sk_c3) != sk_c10 )
| ( multiply(sk_c10,sk_c4) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_55032,c_55259]) ).
tff(c_55297,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_54968,c_55277]) ).
tff(c_55298,plain,
! [X2_11,X5_6,X7_9] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_55111]) ).
tff(c_55445,plain,
! [X7_9] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_55298]) ).
tff(c_55545,plain,
! [X7_9] :
( ( multiply(X7_9,sk_c4) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55446,c_55445]) ).
tff(c_55616,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_55496,c_55545]) ).
tff(c_55628,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_55616]) ).
tff(c_55629,plain,
! [X5_6,X2_11] :
( ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_55298]) ).
tff(c_55630,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_55629]) ).
tff(c_55705,plain,
! [X2_350] :
( ( inverse(X2_350) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_350,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55688,c_55630]) ).
tff(c_55709,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_55107,c_55705]) ).
tff(c_55725,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_55709]) ).
tff(c_55726,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_55629]) ).
tff(c_55801,plain,
! [X5_351] :
( ( multiply(inverse(X5_351),sk_c10) != identity )
| ( multiply(X5_351,inverse(X5_351)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55772,c_55784,c_55772,c_55726]) ).
tff(c_55811,plain,
multiply(sk_c10,inverse(sk_c10)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_55801]) ).
tff(c_56074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55915,c_55854,c_55843,c_55843,c_55811]) ).
tff(c_56075,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_90,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_54952,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_54937,c_90]) ).
tff(c_54956,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_54952,c_4]) ).
tff(c_56154,plain,
! [Z_358] : ( multiply(sk_c6,multiply(sk_c5,Z_358)) = multiply(identity,Z_358) ),
inference(superposition,[status(thm),theory(equality)],[c_54956,c_56121]) ).
tff(c_56225,plain,
! [Z_361] : ( multiply(sk_c6,multiply(sk_c5,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56154]) ).
tff(c_56237,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_56075,c_56225]) ).
tff(c_56365,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_56237,c_56332]) ).
tff(c_56424,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_56365]) ).
tff(c_56076,plain,
multiply(sk_c9,sk_c8) != sk_c10,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_56312,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56302,c_56076]) ).
tff(c_56597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56462,c_56424,c_56435,c_56435,c_56312]) ).
tff(c_56599,plain,
multiply(sk_c10,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_44,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_56641,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_56599,c_44]) ).
tff(c_56645,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_56641,c_4]) ).
tff(c_56721,plain,
! [X_369,Y_370,Z_371] : ( multiply(multiply(X_369,Y_370),Z_371) = multiply(X_369,multiply(Y_370,Z_371)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_56772,plain,
! [Z_371] : ( multiply(sk_c10,multiply(sk_c9,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_56721]) ).
tff(c_56796,plain,
! [Z_372] : ( multiply(sk_c10,multiply(sk_c9,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56772]) ).
tff(c_56811,plain,
multiply(sk_c10,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_56645,c_56796]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_56614,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_56599,c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_56688,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_56599,c_52]) ).
tff(c_56778,plain,
! [X_2,Z_371] : ( multiply(inverse(X_2),multiply(X_2,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_56721]) ).
tff(c_56854,plain,
! [X_374,Z_375] : ( multiply(inverse(X_374),multiply(X_374,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56778]) ).
tff(c_56902,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_56688,c_56854]) ).
tff(c_56962,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_56614,c_56902]) ).
tff(c_56792,plain,
! [X_2,Z_371] : ( multiply(inverse(X_2),multiply(X_2,Z_371)) = Z_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56778]) ).
tff(c_57043,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_56962,c_56792]) ).
tff(c_57049,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57043]) ).
tff(c_46,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_56701,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_56599,c_46]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_56627,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_56599,c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_56715,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_56599,c_48]) ).
tff(c_56890,plain,
multiply(inverse(sk_c3),sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_56715,c_56854]) ).
tff(c_56959,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56701,c_56627,c_56890]) ).
tff(c_56978,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_56959,c_56599]) ).
tff(c_57109,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56811,c_57049,c_56978]) ).
tff(c_57111,plain,
inverse(sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_26,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_57150,plain,
inverse(sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_57111,c_26]) ).
tff(c_57154,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57150,c_4]) ).
tff(c_57228,plain,
! [X_377,Y_378,Z_379] : ( multiply(multiply(X_377,Y_378),Z_379) = multiply(X_377,multiply(Y_378,Z_379)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_57258,plain,
! [Z_379] : ( multiply(sk_c9,multiply(sk_c10,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_57154,c_57228]) ).
tff(c_57288,plain,
! [Z_380] : ( multiply(sk_c9,multiply(sk_c10,Z_380)) = Z_380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57258]) ).
tff(c_57309,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_137,c_57288]) ).
tff(c_32,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_57137,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57111,c_32]) ).
tff(c_57141,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57137,c_4]) ).
tff(c_57303,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_57141,c_57288]) ).
tff(c_57328,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_57309,c_57303]) ).
tff(c_30,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_57168,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_57111,c_30]) ).
tff(c_57329,plain,
multiply(sk_c1,sk_c10) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_57328,c_57168]) ).
tff(c_40,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_57123,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57111,c_40]) ).
tff(c_57127,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57123,c_4]) ).
tff(c_57306,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57127,c_57288]) ).
tff(c_57340,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_57309,c_57306]) ).
tff(c_57264,plain,
! [Z_379] : ( multiply(sk_c10,multiply(sk_c7,Z_379)) = multiply(identity,Z_379) ),
inference(superposition,[status(thm),theory(equality)],[c_57127,c_57228]) ).
tff(c_57283,plain,
! [Z_379] : ( multiply(sk_c10,multiply(sk_c7,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57264]) ).
tff(c_57385,plain,
! [Z_382] : ( multiply(sk_c10,multiply(sk_c1,Z_382)) = Z_382 ),
inference(demodulation,[status(thm),theory(equality)],[c_57340,c_57283]) ).
tff(c_57409,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57329,c_57385]) ).
tff(c_28,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_57183,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_57111,c_28]) ).
tff(c_57427,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57409,c_57183]) ).
tff(c_57448,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57427,c_57150]) ).
tff(c_57449,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57427,c_57111]) ).
tff(c_57528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57448,c_57449]) ).
tff(c_57530,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_102,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_57592,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_57530,c_102]) ).
tff(c_104,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_57549,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57530,c_104]) ).
tff(c_57553,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57549,c_4]) ).
tff(c_204875,plain,
! [X_866,Y_867,Z_868] : ( multiply(multiply(X_866,Y_867),Z_868) = multiply(X_866,multiply(Y_867,Z_868)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_204908,plain,
! [Z_868] : ( multiply(sk_c10,multiply(sk_c3,Z_868)) = multiply(identity,Z_868) ),
inference(superposition,[status(thm),theory(equality)],[c_57553,c_204875]) ).
tff(c_204979,plain,
! [Z_871] : ( multiply(sk_c10,multiply(sk_c3,Z_871)) = Z_871 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_204908]) ).
tff(c_204991,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57592,c_204979]) ).
tff(c_57662,plain,
! [X_385,Y_386,Z_387] : ( multiply(multiply(X_385,Y_386),Z_387) = multiply(X_385,multiply(Y_386,Z_387)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_57707,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57662]) ).
tff(c_58486,plain,
! [X_400,Z_401] : ( multiply(inverse(X_400),multiply(X_400,Z_401)) = Z_401 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57707]) ).
tff(c_58723,plain,
! [X_403] : ( multiply(inverse(identity),X_403) = X_403 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_58486]) ).
tff(c_57720,plain,
! [X_2,Z_387] : ( multiply(inverse(X_2),multiply(X_2,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57707]) ).
tff(c_58906,plain,
! [X_407] : ( multiply(inverse(inverse(identity)),X_407) = X_407 ),
inference(superposition,[status(thm),theory(equality)],[c_58723,c_57720]) ).
tff(c_58927,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58906,c_4]) ).
tff(c_58986,plain,
! [X_408,Z_409] : ( multiply(inverse(inverse(X_408)),Z_409) = multiply(X_408,Z_409) ),
inference(superposition,[status(thm),theory(equality)],[c_57720,c_58486]) ).
tff(c_59007,plain,
! [X_408] : ( multiply(X_408,inverse(X_408)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_58986,c_4]) ).
tff(c_58549,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_58486]) ).
tff(c_59034,plain,
! [X_410] : ( multiply(X_410,identity) = X_410 ),
inference(superposition,[status(thm),theory(equality)],[c_58986,c_58549]) ).
tff(c_59048,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_59034,c_58549]) ).
tff(c_59020,plain,
! [X_408,Z_387] : ( multiply(X_408,multiply(inverse(X_408),Z_387)) = Z_387 ),
inference(superposition,[status(thm),theory(equality)],[c_57720,c_58986]) ).
tff(c_57698,plain,
! [Z_387] : ( multiply(sk_c10,multiply(sk_c3,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_57553,c_57662]) ).
tff(c_58222,plain,
! [Z_396] : ( multiply(sk_c10,multiply(sk_c3,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57698]) ).
tff(c_58234,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57592,c_58222]) ).
tff(c_100,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_57613,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_57530,c_100]) ).
tff(c_58238,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58234,c_57613]) ).
tff(c_98,plain,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_57538,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_57539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57530,c_57538]) ).
tff(c_57540,plain,
inverse(sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_58251,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58238,c_57540]) ).
tff(c_57529,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_106,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_57586,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57530,c_106]) ).
tff(c_58528,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57586,c_58486]) ).
tff(c_58562,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57529,c_58528]) ).
tff(c_58576,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_58562,c_57720]) ).
tff(c_58582,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_58576]) ).
tff(c_110,plain,
( ( multiply(sk_c6,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_57621,plain,
multiply(sk_c6,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57530,c_110]) ).
tff(c_58247,plain,
multiply(sk_c6,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_58238,c_57621]) ).
tff(c_58760,plain,
multiply(sk_c6,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58582,c_58247]) ).
tff(c_57692,plain,
! [Z_387] : ( multiply(sk_c5,multiply(sk_c6,Z_387)) = multiply(sk_c8,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_57586,c_57662]) ).
tff(c_58776,plain,
! [Z_404] : ( multiply(sk_c5,multiply(sk_c6,Z_404)) = Z_404 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58582,c_57692]) ).
tff(c_58791,plain,
multiply(sk_c5,identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_58760,c_58776]) ).
tff(c_57534,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57529,c_4]) ).
tff(c_58797,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_57534,c_58776]) ).
tff(c_58816,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58791,c_58797]) ).
tff(c_58821,plain,
inverse(sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_58816,c_57529]) ).
tff(c_58824,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58251,c_58821]) ).
tff(c_57680,plain,
! [Z_387] : ( multiply(sk_c6,multiply(sk_c9,Z_387)) = multiply(sk_c8,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_57621,c_57662]) ).
tff(c_58861,plain,
! [Z_387] : ( multiply(sk_c10,multiply(sk_c10,Z_387)) = Z_387 ),
inference(demodulation,[status(thm),theory(equality)],[c_58824,c_2,c_58582,c_58238,c_57680]) ).
tff(c_58993,plain,
! [X_408] : ( multiply(X_408,identity) = X_408 ),
inference(superposition,[status(thm),theory(equality)],[c_58986,c_58549]) ).
tff(c_59281,plain,
! [X_415,Y_416,Z_417] : ( multiply(inverse(multiply(X_415,Y_416)),multiply(X_415,multiply(Y_416,Z_417))) = Z_417 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_58486]) ).
tff(c_59329,plain,
! [X_415,X_408] : ( multiply(inverse(multiply(X_415,X_408)),multiply(X_415,identity)) = inverse(X_408) ),
inference(superposition,[status(thm),theory(equality)],[c_59007,c_59281]) ).
tff(c_60126,plain,
! [X_429,X_430] : ( multiply(inverse(multiply(X_429,X_430)),X_429) = inverse(X_430) ),
inference(demodulation,[status(thm),theory(equality)],[c_58993,c_59329]) ).
tff(c_60237,plain,
! [Z_387] : ( multiply(inverse(Z_387),sk_c10) = inverse(multiply(sk_c10,Z_387)) ),
inference(superposition,[status(thm),theory(equality)],[c_58861,c_60126]) ).
tff(c_57545,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57540,c_4]) ).
tff(c_58250,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58238,c_57545]) ).
tff(c_114,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_57636,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57530,c_114]) ).
tff(c_112,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_57570,plain,
inverse(sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_57530,c_112]) ).
tff(c_57574,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57570,c_4]) ).
tff(c_57695,plain,
! [Z_387] : ( multiply(sk_c10,multiply(sk_c7,Z_387)) = multiply(identity,Z_387) ),
inference(superposition,[status(thm),theory(equality)],[c_57574,c_57662]) ).
tff(c_57722,plain,
! [Z_388] : ( multiply(sk_c10,multiply(sk_c7,Z_388)) = Z_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57695]) ).
tff(c_57734,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57636,c_57722]) ).
tff(c_58266,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58250,c_57734]) ).
tff(c_57748,plain,
! [Z_389] : ( multiply(sk_c10,multiply(sk_c3,Z_389)) = Z_389 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57698]) ).
tff(c_57760,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57592,c_57748]) ).
tff(c_57801,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57760,c_57613]) ).
tff(c_57818,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57801,c_57540]) ).
tff(c_57838,plain,
! [X_391,Z_392] : ( multiply(inverse(X_391),multiply(X_391,Z_392)) = Z_392 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57707]) ).
tff(c_57895,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_57553,c_57838]) ).
tff(c_57924,plain,
multiply(sk_c10,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_57818,c_57895]) ).
tff(c_57886,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57586,c_57838]) ).
tff(c_57921,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_57529,c_57886]) ).
tff(c_57937,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_57921,c_57720]) ).
tff(c_57943,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57937]) ).
tff(c_57600,plain,
inverse(sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_57739,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c8) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57600,c_57540,c_116]) ).
tff(c_57740,plain,
multiply(sk_c9,sk_c8) != sk_c10,
inference(splitLeft,[status(thm)],[c_57739]) ).
tff(c_57813,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57801,c_57740]) ).
tff(c_58135,plain,
sk_c3 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57924,c_57943,c_57813]) ).
tff(c_58181,plain,
! [X_395] : ( multiply(inverse(inverse(X_395)),identity) = X_395 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57838]) ).
tff(c_58196,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_57818,c_58181]) ).
tff(c_58203,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_57924,c_57818,c_58196]) ).
tff(c_58205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58135,c_58203]) ).
tff(c_58207,plain,
multiply(sk_c9,sk_c8) = sk_c10,
inference(splitRight,[status(thm)],[c_57739]) ).
tff(c_58246,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58238,c_58207]) ).
tff(c_58282,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_58266,c_58246]) ).
tff(c_58206,plain,
! [X4_12,X2_11,X5_6,X7_9] :
( ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_57739]) ).
tff(c_58256,plain,
! [X4_12,X2_11,X5_6,X7_9] :
( ( multiply(sk_c10,sk_c8) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58238,c_58238,c_58238,c_58238,c_58206]) ).
tff(c_58257,plain,
multiply(sk_c10,sk_c8) != sk_c10,
inference(splitLeft,[status(thm)],[c_58256]) ).
tff(c_58475,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58282,c_58266,c_58257]) ).
tff(c_58476,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_58256]) ).
tff(c_66709,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( sk_c10 != X7_9 )
| ( inverse(X7_9) != sk_c10 )
| ( inverse(multiply(sk_c10,X5_6)) != identity )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59007,c_58582,c_60237,c_58582,c_58993,c_58582,c_58476]) ).
tff(c_66711,plain,
! [X4_491] :
( ( inverse(X4_491) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_491,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_66709]) ).
tff(c_66744,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_59020,c_66711]) ).
tff(c_66773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58251,c_58251,c_66744]) ).
tff(c_66774,plain,
! [X2_11,X5_6,X7_9] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( inverse(multiply(sk_c10,X5_6)) != identity )
| ( sk_c10 != X7_9 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_66709]) ).
tff(c_201821,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_66774]) ).
tff(c_201823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201821,c_58251]) ).
tff(c_201824,plain,
! [X5_6,X2_11] :
( ( inverse(multiply(sk_c10,X5_6)) != identity )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_66774]) ).
tff(c_201826,plain,
! [X2_860] :
( ( inverse(X2_860) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_860,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_201824]) ).
tff(c_201909,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_59020,c_201826]) ).
tff(c_201948,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59048,c_201909]) ).
tff(c_204737,plain,
! [X5_865] : ( inverse(multiply(sk_c10,X5_865)) != identity ),
inference(splitRight,[status(thm)],[c_201824]) ).
tff(c_204793,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_59007,c_204737]) ).
tff(c_204817,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58927,c_204793]) ).
tff(c_204818,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_204995,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204991,c_204818]) ).
tff(c_204819,plain,
inverse(sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_205039,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204995,c_204819]) ).
tff(c_205041,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_204995,c_57540]) ).
tff(c_205046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205039,c_205041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP362-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:54:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 42.84/29.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.84/29.95
% 42.84/29.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 43.19/30.02
% 43.19/30.02 Inference rules
% 43.19/30.02 ----------------------
% 43.19/30.02 #Ref : 0
% 43.19/30.02 #Sup : 48617
% 43.19/30.02 #Fact : 0
% 43.19/30.02 #Define : 0
% 43.19/30.02 #Split : 31
% 43.19/30.02 #Chain : 0
% 43.19/30.02 #Close : 0
% 43.19/30.02
% 43.19/30.02 Ordering : KBO
% 43.19/30.02
% 43.19/30.02 Simplification rules
% 43.19/30.02 ----------------------
% 43.19/30.02 #Subsume : 11
% 43.19/30.02 #Demod : 196642
% 43.19/30.02 #Tautology : 40590
% 43.19/30.02 #SimpNegUnit : 90
% 43.19/30.02 #BackRed : 389
% 43.19/30.02
% 43.19/30.02 #Partial instantiations: 0
% 43.19/30.02 #Strategies tried : 1
% 43.19/30.02
% 43.19/30.02 Timing (in seconds)
% 43.19/30.02 ----------------------
% 43.19/30.02 Preprocessing : 0.59
% 43.19/30.02 Parsing : 0.21
% 43.19/30.02 CNF conversion : 0.03
% 43.19/30.02 Main loop : 28.30
% 43.19/30.02 Inferencing : 3.96
% 43.19/30.02 Reduction : 21.44
% 43.19/30.02 Demodulation : 20.75
% 43.19/30.02 BG Simplification : 0.27
% 43.19/30.02 Subsumption : 1.90
% 43.19/30.03 Abstraction : 1.05
% 43.19/30.03 MUC search : 0.00
% 43.19/30.03 Cooper : 0.00
% 43.19/30.03 Total : 29.01
% 43.19/30.03 Index Insertion : 0.00
% 43.19/30.03 Index Deletion : 0.00
% 43.19/30.03 Index Matching : 0.00
% 43.19/30.03 BG Taut test : 0.00
%------------------------------------------------------------------------------