TSTP Solution File: GRP375-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP375-1 : 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 : n019.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 13.95s 4.86s
% Output : CNFRefutation 13.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 39
% Syntax : Number of formulae : 415 ( 329 unt; 13 typ; 0 def)
% Number of atoms : 552 ( 538 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 311 ( 161 ~; 150 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 200 (; 200 !; 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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = 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_179,axiom,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(sk_c10) != sk_c9 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(sk_c8,sk_c10) != sk_c9 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X4,X5) != sk_c10 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c9) != sk_c10 )
| ( inverse(X6) != X7 )
| ( inverse(X7) != X5 )
| ( multiply(X6,X5) != X7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c8,sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_120,plain,
inverse(sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_125,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_120,c_4]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_32805,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_54,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_105,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_109,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105,c_4]) ).
tff(c_32903,plain,
! [X_308,Y_309,Z_310] : ( multiply(multiply(X_308,Y_309),Z_310) = multiply(X_308,multiply(Y_309,Z_310)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32954,plain,
! [Z_310] : ( multiply(sk_c10,multiply(sk_c1,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_32903]) ).
tff(c_33038,plain,
! [Z_313] : ( multiply(sk_c10,multiply(sk_c1,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32954]) ).
tff(c_33059,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32805,c_33038]) ).
tff(c_32951,plain,
! [Z_310] : ( multiply(sk_c9,multiply(sk_c10,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_32903]) ).
tff(c_32970,plain,
! [Z_310] : ( multiply(sk_c9,multiply(sk_c10,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32951]) ).
tff(c_33069,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33059,c_32970]) ).
tff(c_33076,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_33069]) ).
tff(c_175,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_202,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_175]) ).
tff(c_20440,plain,
! [X_184,Z_185] : ( multiply(inverse(X_184),multiply(X_184,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202]) ).
tff(c_212,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_202]) ).
tff(c_20589,plain,
! [X_189,Z_190] : ( multiply(inverse(inverse(X_189)),Z_190) = multiply(X_189,Z_190) ),
inference(superposition,[status(thm),theory(equality)],[c_20440,c_212]) ).
tff(c_20464,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20440]) ).
tff(c_20596,plain,
! [X_189] : ( multiply(X_189,identity) = X_189 ),
inference(superposition,[status(thm),theory(equality)],[c_20589,c_20464]) ).
tff(c_144,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_199,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_175]) ).
tff(c_304,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199]) ).
tff(c_316,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_144,c_304]) ).
tff(c_196,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c10,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_175]) ).
tff(c_357,plain,
! [Z_23] : ( multiply(sk_c9,multiply(sk_c10,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_196]) ).
tff(c_369,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_316,c_357]) ).
tff(c_379,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_369]) ).
tff(c_387,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_120]) ).
tff(c_397,plain,
multiply(identity,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_387,c_4]) ).
tff(c_20413,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_397,c_2]) ).
tff(c_84,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_137,plain,
multiply(sk_c8,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_385,plain,
multiply(sk_c8,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_137]) ).
tff(c_20478,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_385]) ).
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_20485,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_20478,c_6]) ).
tff(c_20491,plain,
! [Z_186] : ( multiply(sk_c8,Z_186) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_20485]) ).
tff(c_20519,plain,
! [Z_187] : ( multiply(inverse(sk_c8),Z_187) = Z_187 ),
inference(superposition,[status(thm),theory(equality)],[c_20491,c_212]) ).
tff(c_20536,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_20519,c_4]) ).
tff(c_386,plain,
multiply(identity,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_125]) ).
tff(c_425,plain,
sk_c10 = identity,
inference(superposition,[status(thm),theory(equality)],[c_386,c_2]) ).
tff(c_375,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_357]) ).
tff(c_403,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_379,c_375]) ).
tff(c_406,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_403,c_105]) ).
tff(c_434,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_425,c_406]) ).
tff(c_453,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_202]) ).
tff(c_602,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_453,c_212]) ).
tff(c_477,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_453]) ).
tff(c_609,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_602,c_477]) ).
tff(c_640,plain,
! [X_29] : ( multiply(X_29,inverse(X_29)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_602]) ).
tff(c_865,plain,
! [X_36,Y_37,Z_38] : ( multiply(inverse(multiply(X_36,Y_37)),multiply(X_36,multiply(Y_37,Z_38))) = Z_38 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_453]) ).
tff(c_944,plain,
! [X_36,X_2] : ( multiply(inverse(multiply(X_36,inverse(X_2))),multiply(X_36,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_865]) ).
tff(c_981,plain,
! [X_39,X_40] : ( multiply(inverse(multiply(X_39,inverse(X_40))),X_39) = X_40 ),
inference(demodulation,[status(thm),theory(equality)],[c_609,c_944]) ).
tff(c_633,plain,
! [X_29,Z_17] : ( multiply(X_29,multiply(inverse(X_29),Z_17)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_602]) ).
tff(c_1001,plain,
! [X_39,X_40] : ( multiply(multiply(X_39,inverse(X_40)),X_40) = X_39 ),
inference(superposition,[status(thm),theory(equality)],[c_981,c_633]) ).
tff(c_739,plain,
! [X_33] : ( multiply(X_33,inverse(X_33)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_602]) ).
tff(c_1235,plain,
! [X_45,Y_46] : ( multiply(X_45,multiply(Y_46,inverse(multiply(X_45,Y_46)))) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_739,c_6]) ).
tff(c_1263,plain,
! [Y_46,X_45] : ( multiply(Y_46,inverse(multiply(X_45,Y_46))) = multiply(inverse(X_45),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1235,c_212]) ).
tff(c_1613,plain,
! [Y_51,X_52] : ( multiply(Y_51,inverse(multiply(X_52,Y_51))) = inverse(X_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_609,c_1263]) ).
tff(c_1684,plain,
! [X_39,X_40] : ( inverse(multiply(X_39,inverse(X_40))) = multiply(X_40,inverse(X_39)) ),
inference(superposition,[status(thm),theory(equality)],[c_1001,c_1613]) ).
tff(c_217,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199]) ).
tff(c_229,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_144,c_217]) ).
tff(c_240,plain,
! [Z_19] : ( multiply(sk_c9,multiply(sk_c10,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_196]) ).
tff(c_252,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_229,c_240]) ).
tff(c_262,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_252]) ).
tff(c_268,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_120]) ).
tff(c_88,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(sk_c8,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_215,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120,c_137,c_88]) ).
tff(c_216,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_215]) ).
tff(c_281,plain,
! [X2_20] :
( ( inverse(X2_20) != sk_c10 )
| ( multiply(X2_20,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_262,c_216]) ).
tff(c_289,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_4,c_281]) ).
tff(c_295,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_289]) ).
tff(c_258,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_240]) ).
tff(c_296,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_262,c_258]) ).
tff(c_299,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_296,c_105]) ).
tff(c_302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295,c_299]) ).
tff(c_303,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_215]) ).
tff(c_401,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_379,c_379,c_379,c_379,c_303]) ).
tff(c_402,plain,
! [X6_7,X4_12] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_401]) ).
tff(c_20281,plain,
! [X4_181,X6_182] :
( ( multiply(X4_181,inverse(X6_182)) != inverse(X4_181) )
| ( multiply(X6_182,inverse(X4_181)) != inverse(X6_182) )
| ( inverse(X4_181) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_640,c_425,c_609,c_425,c_1684,c_402]) ).
tff(c_20342,plain,
! [X6_182] :
( ( inverse(identity) != inverse(X6_182) )
| ( multiply(X6_182,inverse(identity)) != inverse(X6_182) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_20281]) ).
tff(c_20368,plain,
! [X6_183] :
( ( inverse(X6_183) != identity )
| ( inverse(X6_183) != X6_183 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_609,c_434,c_434,c_20342]) ).
tff(c_20380,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_434,c_20368]) ).
tff(c_20389,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_434,c_20380]) ).
tff(c_20390,plain,
! [X3_8,X1_10] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_401]) ).
tff(c_32576,plain,
! [X3_8,X1_10] :
( ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20596,c_20413,c_20413,c_20596,c_20536,c_20390]) ).
tff(c_32578,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32576]) ).
tff(c_20391,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_379,c_375]) ).
tff(c_20394,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_20391,c_105]) ).
tff(c_20422,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20413,c_20394]) ).
tff(c_32580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32578,c_20422]) ).
tff(c_32582,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_32576]) ).
tff(c_32584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32582,c_20422]) ).
tff(c_32586,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_32688,plain,
! [X_304,Y_305,Z_306] : ( multiply(multiply(X_304,Y_305),Z_306) = multiply(X_304,multiply(Y_305,Z_306)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32736,plain,
! [Z_306] : ( multiply(sk_c9,multiply(sk_c10,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_32688]) ).
tff(c_32759,plain,
! [Z_307] : ( multiply(sk_c9,multiply(sk_c10,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32736]) ).
tff(c_32774,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_32759]) ).
tff(c_30,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_32644,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32586,c_30]) ).
tff(c_32648,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32644,c_4]) ).
tff(c_32771,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_32648,c_32759]) ).
tff(c_32786,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_32774,c_32771]) ).
tff(c_28,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_32658,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32586,c_28]) ).
tff(c_32787,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32786,c_32658]) ).
tff(c_32791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32586,c_32787]) ).
tff(c_32793,plain,
multiply(sk_c8,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_74,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_32816,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32793,c_74]) ).
tff(c_33085,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_32816]) ).
tff(c_33181,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33085,c_4]) ).
tff(c_32957,plain,
! [X_2,Z_310] : ( multiply(inverse(X_2),multiply(X_2,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32903]) ).
tff(c_32972,plain,
! [X_2,Z_310] : ( multiply(inverse(X_2),multiply(X_2,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32957]) ).
tff(c_33198,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_33181,c_32972]) ).
tff(c_33210,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33198]) ).
tff(c_72,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_32880,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32793,c_72]) ).
tff(c_33083,plain,
multiply(sk_c3,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_32880]) ).
tff(c_33377,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33210,c_33083]) ).
tff(c_33214,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33210,c_33085]) ).
tff(c_32974,plain,
! [Z_311] : ( multiply(sk_c9,multiply(sk_c10,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32951]) ).
tff(c_32989,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_32974]) ).
tff(c_33080,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_32989]) ).
tff(c_33091,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33080]) ).
tff(c_33099,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33091,c_105]) ).
tff(c_33222,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33214,c_33099]) ).
tff(c_33087,plain,
multiply(sk_c8,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_32793]) ).
tff(c_33405,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33377,c_33222,c_33087]) ).
tff(c_33407,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_33510,plain,
! [X_318,Y_319,Z_320] : ( multiply(multiply(X_318,Y_319),Z_320) = multiply(X_318,multiply(Y_319,Z_320)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33555,plain,
! [Z_320] : ( multiply(sk_c9,multiply(sk_c10,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_33510]) ).
tff(c_33578,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c10,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33555]) ).
tff(c_33593,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_33578]) ).
tff(c_33415,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33407,c_30]) ).
tff(c_33419,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33415,c_4]) ).
tff(c_33590,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_33419,c_33578]) ).
tff(c_33605,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33593,c_33590]) ).
tff(c_33480,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33407,c_28]) ).
tff(c_33616,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_33605,c_33480]) ).
tff(c_33620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33407,c_33616]) ).
tff(c_33622,plain,
inverse(sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_33714,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33622,c_16]) ).
tff(c_33621,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_33626,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33621,c_4]) ).
tff(c_33733,plain,
! [X_322,Y_323,Z_324] : ( multiply(multiply(X_322,Y_323),Z_324) = multiply(X_322,multiply(Y_323,Z_324)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33775,plain,
! [Z_324] : ( multiply(sk_c7,multiply(sk_c4,Z_324)) = multiply(identity,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_33626,c_33733]) ).
tff(c_33856,plain,
! [Z_328] : ( multiply(sk_c7,multiply(sk_c4,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33775]) ).
tff(c_33868,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33714,c_33856]) ).
tff(c_33895,plain,
! [Z_330] : ( multiply(sk_c4,multiply(sk_c7,Z_330)) = multiply(sk_c10,Z_330) ),
inference(superposition,[status(thm),theory(equality)],[c_33714,c_33733]) ).
tff(c_33910,plain,
multiply(sk_c4,sk_c7) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_33868,c_33895]) ).
tff(c_33926,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33714,c_33910]) ).
tff(c_33781,plain,
! [X_2,Z_324] : ( multiply(inverse(X_2),multiply(X_2,Z_324)) = multiply(identity,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33733]) ).
tff(c_33982,plain,
! [X_331,Z_332] : ( multiply(inverse(X_331),multiply(X_331,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33781]) ).
tff(c_34000,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33926,c_33982]) ).
tff(c_34064,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34000]) ).
tff(c_8,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_33693,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33622,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_33646,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33622,c_10]) ).
tff(c_33650,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33646,c_4]) ).
tff(c_33769,plain,
! [Z_324] : ( multiply(sk_c10,multiply(sk_c2,Z_324)) = multiply(identity,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_33650,c_33733]) ).
tff(c_33820,plain,
! [Z_326] : ( multiply(sk_c10,multiply(sk_c2,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33769]) ).
tff(c_33832,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33693,c_33820]) ).
tff(c_34012,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33832,c_33982]) ).
tff(c_34065,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34012]) ).
tff(c_34080,plain,
inverse(sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34065,c_33622]) ).
tff(c_34164,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34064,c_34080]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c9) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_33686,plain,
multiply(sk_c7,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33622,c_20]) ).
tff(c_33916,plain,
multiply(sk_c4,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_33686,c_33895]) ).
tff(c_33927,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33832,c_33916]) ).
tff(c_33793,plain,
! [Z_324] : ( multiply(sk_c7,multiply(sk_c4,Z_324)) = Z_324 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33775]) ).
tff(c_33938,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33927,c_33793]) ).
tff(c_33952,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33938,c_33868]) ).
tff(c_33972,plain,
multiply(sk_c10,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33952,c_33626]) ).
tff(c_34214,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34064,c_33972]) ).
tff(c_33974,plain,
inverse(sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33952,c_33621]) ).
tff(c_34165,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34064,c_33974]) ).
tff(c_34215,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34214,c_34165]) ).
tff(c_34217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34164,c_34215]) ).
tff(c_34219,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_36297,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34219,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_36250,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34219,c_58]) ).
tff(c_36254,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36250,c_4]) ).
tff(c_36337,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_36370,plain,
! [Z_371] : ( multiply(sk_c7,multiply(sk_c4,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_36254,c_36337]) ).
tff(c_36421,plain,
! [Z_373] : ( multiply(sk_c7,multiply(sk_c4,Z_373)) = Z_373 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36370]) ).
tff(c_36433,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36297,c_36421]) ).
tff(c_36382,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_36337]) ).
tff(c_36523,plain,
! [X_377,Z_378] : ( multiply(inverse(X_377),multiply(X_377,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36382]) ).
tff(c_36559,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36433,c_36523]) ).
tff(c_36628,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36559]) ).
tff(c_62,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_36228,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_34219,c_62]) ).
tff(c_36232,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36228,c_4]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_36264,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34219,c_64]) ).
tff(c_36268,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36264,c_4]) ).
tff(c_36367,plain,
! [Z_371] : ( multiply(sk_c7,multiply(sk_c5,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_36268,c_36337]) ).
tff(c_36397,plain,
! [Z_372] : ( multiply(sk_c7,multiply(sk_c5,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36367]) ).
tff(c_36409,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36232,c_36397]) ).
tff(c_34218,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_36217,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34218,c_4]) ).
tff(c_50,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_34255,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34219,c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_34328,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34219,c_48]) ).
tff(c_34259,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34255,c_4]) ).
tff(c_34345,plain,
! [X_335,Y_336,Z_337] : ( multiply(multiply(X_335,Y_336),Z_337) = multiply(X_335,multiply(Y_336,Z_337)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34381,plain,
! [Z_337] : ( multiply(sk_c10,multiply(sk_c2,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_34259,c_34345]) ).
tff(c_34759,plain,
! [Z_346] : ( multiply(sk_c10,multiply(sk_c2,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34381]) ).
tff(c_34771,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34328,c_34759]) ).
tff(c_60,plain,
( ( multiply(sk_c7,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_34299,plain,
multiply(sk_c7,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34219,c_60]) ).
tff(c_34309,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_34219,c_56]) ).
tff(c_34731,plain,
! [Z_345] : ( multiply(sk_c4,multiply(sk_c7,Z_345)) = multiply(sk_c10,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_34309,c_34345]) ).
tff(c_34749,plain,
multiply(sk_c4,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_34299,c_34731]) ).
tff(c_34782,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34771,c_34749]) ).
tff(c_34243,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34219,c_58]) ).
tff(c_34247,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34243,c_4]) ).
tff(c_34384,plain,
! [Z_337] : ( multiply(sk_c7,multiply(sk_c4,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_34247,c_34345]) ).
tff(c_35542,plain,
! [Z_361] : ( multiply(sk_c7,multiply(sk_c4,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34384]) ).
tff(c_35560,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34782,c_35542]) ).
tff(c_35566,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34309,c_35542]) ).
tff(c_35783,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35560,c_35566]) ).
tff(c_35795,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35783,c_35560]) ).
tff(c_34393,plain,
! [X_2,Z_337] : ( multiply(inverse(X_2),multiply(X_2,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34345]) ).
tff(c_35958,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_34393]) ).
tff(c_35988,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35795,c_35958]) ).
tff(c_36018,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35988]) ).
tff(c_34268,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_34219,c_62]) ).
tff(c_34272,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34268,c_4]) ).
tff(c_34283,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34219,c_64]) ).
tff(c_34287,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34283,c_4]) ).
tff(c_34375,plain,
! [Z_337] : ( multiply(sk_c7,multiply(sk_c5,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_34287,c_34345]) ).
tff(c_34409,plain,
! [Z_338] : ( multiply(sk_c7,multiply(sk_c5,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34375]) ).
tff(c_34421,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34272,c_34409]) ).
tff(c_35800,plain,
multiply(sk_c10,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35783,c_34421]) ).
tff(c_36025,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36018,c_35800]) ).
tff(c_36035,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36025]) ).
tff(c_34220,plain,
inverse(sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_34231,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34220,c_4]) ).
tff(c_34360,plain,
! [Z_337] : ( multiply(sk_c2,multiply(sk_c10,Z_337)) = multiply(sk_c9,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_34328,c_34345]) ).
tff(c_35844,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c2,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_35795,c_34360]) ).
tff(c_35850,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34231,c_34328,c_35844]) ).
tff(c_35862,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35850,c_34220]) ).
tff(c_35582,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35560,c_35566]) ).
tff(c_35607,plain,
inverse(sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35582,c_34243]) ).
tff(c_34475,plain,
! [X_341,Z_342] : ( multiply(inverse(X_341),multiply(X_341,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34393]) ).
tff(c_34511,plain,
multiply(inverse(sk_c2),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34328,c_34475]) ).
tff(c_34570,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34255,c_34511]) ).
tff(c_34407,plain,
! [X_2,Z_337] : ( multiply(inverse(X_2),multiply(X_2,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34393]) ).
tff(c_34590,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34570,c_34407]) ).
tff(c_34596,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34590]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_34323,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34219,c_52]) ).
tff(c_34224,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34218,c_4]) ).
tff(c_34390,plain,
! [Z_337] : ( multiply(sk_c9,multiply(sk_c3,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_34224,c_34345]) ).
tff(c_34436,plain,
! [Z_339] : ( multiply(sk_c9,multiply(sk_c3,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34390]) ).
tff(c_34448,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34323,c_34436]) ).
tff(c_34496,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34448,c_34475]) ).
tff(c_34569,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34496]) ).
tff(c_34426,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(sk_c8,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34220,c_88]) ).
tff(c_34427,plain,
multiply(sk_c8,sk_c10) != sk_c9,
inference(splitLeft,[status(thm)],[c_34426]) ).
tff(c_34580,plain,
multiply(identity,sk_c10) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34569,c_34427]) ).
tff(c_34582,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34580]) ).
tff(c_34635,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34596,c_34582]) ).
tff(c_34517,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34309,c_34475]) ).
tff(c_34572,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34243,c_34517]) ).
tff(c_34705,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34572,c_34407]) ).
tff(c_34711,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34705]) ).
tff(c_34713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34635,c_34711]) ).
tff(c_34715,plain,
multiply(sk_c8,sk_c10) = sk_c9,
inference(splitRight,[status(thm)],[c_34426]) ).
tff(c_35594,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35582,c_35560]) ).
tff(c_34719,plain,
! [Z_5] : ( multiply(sk_c8,multiply(sk_c10,Z_5)) = multiply(sk_c9,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_34715,c_6]) ).
tff(c_35658,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_35594,c_34719]) ).
tff(c_35667,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34231,c_34715,c_35658]) ).
tff(c_35114,plain,
! [X_354,Z_355] : ( multiply(inverse(X_354),multiply(X_354,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34393]) ).
tff(c_35168,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34771,c_35114]) ).
tff(c_35226,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34231,c_34220,c_35168]) ).
tff(c_34808,plain,
! [Z_347] : ( multiply(sk_c9,multiply(sk_c3,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34390]) ).
tff(c_34820,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34323,c_34808]) ).
tff(c_35159,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34820,c_35114]) ).
tff(c_35224,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35159]) ).
tff(c_35236,plain,
multiply(identity,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35224,c_34715]) ).
tff(c_35238,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35236]) ).
tff(c_35257,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35226,c_35238]) ).
tff(c_35251,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35238,c_34220]) ).
tff(c_35296,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35257,c_35257,c_35251]) ).
tff(c_34915,plain,
! [Z_350] : ( multiply(sk_c7,multiply(sk_c4,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34384]) ).
tff(c_34933,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34782,c_34915]) ).
tff(c_34939,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34309,c_34915]) ).
tff(c_34989,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34933,c_34939]) ).
tff(c_35269,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35257,c_34989]) ).
tff(c_34714,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_34426]) ).
tff(c_34943,plain,
! [X6_351,X4_352] :
( ( inverse(multiply(X6_351,inverse(X4_352))) != inverse(X4_352) )
| ( multiply(X6_351,inverse(X4_352)) != inverse(X6_351) )
| ( multiply(inverse(X4_352),sk_c9) != sk_c10 )
| ( multiply(X4_352,inverse(X4_352)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_34714]) ).
tff(c_34954,plain,
! [X6_351] :
( ( inverse(multiply(X6_351,sk_c7)) != inverse(sk_c4) )
| ( multiply(X6_351,inverse(sk_c4)) != inverse(X6_351) )
| ( multiply(inverse(sk_c4),sk_c9) != sk_c10 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_34243,c_34943]) ).
tff(c_34972,plain,
! [X6_351] :
( ( inverse(multiply(X6_351,sk_c7)) != sk_c7 )
| ( multiply(X6_351,sk_c7) != inverse(X6_351) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34309,c_34243,c_34299,c_34243,c_34243,c_34243,c_34954]) ).
tff(c_35417,plain,
! [X6_357] :
( ( inverse(multiply(X6_357,identity)) != identity )
| ( multiply(X6_357,identity) != inverse(X6_357) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35269,c_35269,c_35269,c_34972]) ).
tff(c_35425,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35417]) ).
tff(c_35433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35296,c_35296,c_4,c_35296,c_35425]) ).
tff(c_35434,plain,
! [X3_8,X1_10,X2_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_34714]) ).
tff(c_35570,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_35434]) ).
tff(c_35692,plain,
! [X2_363] :
( ( inverse(X2_363) != sk_c10 )
| ( multiply(X2_363,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35667,c_35570]) ).
tff(c_35698,plain,
( ( inverse(sk_c4) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_34782,c_35692]) ).
tff(c_35712,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35607,c_35698]) ).
tff(c_35681,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35667,c_34220]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_34304,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_34219,c_66]) ).
tff(c_34378,plain,
! [Z_337] : ( multiply(sk_c5,multiply(sk_c6,Z_337)) = multiply(identity,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_34272,c_34345]) ).
tff(c_35458,plain,
! [Z_359] : ( multiply(sk_c5,multiply(sk_c6,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34378]) ).
tff(c_35473,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34304,c_35458]) ).
tff(c_34401,plain,
! [Z_337] : ( multiply(sk_c7,multiply(sk_c5,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34375]) ).
tff(c_35506,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_35473,c_34401]) ).
tff(c_35596,plain,
multiply(sk_c10,sk_c10) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_35582,c_35582,c_35506]) ).
tff(c_35760,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35594,c_35596]) ).
tff(c_35605,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35582,c_34283]) ).
tff(c_35763,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35760,c_35605]) ).
tff(c_35767,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35681,c_35763]) ).
tff(c_35769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35712,c_35767]) ).
tff(c_35770,plain,
! [X1_10,X3_8] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_35434]) ).
tff(c_35782,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_35770]) ).
tff(c_35884,plain,
! [X3_8] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35850,c_35850,c_35782]) ).
tff(c_35907,plain,
( ( inverse(sk_c10) != identity )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_35800,c_35884]) ).
tff(c_35914,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35862,c_35907]) ).
tff(c_36045,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36035,c_35914]) ).
tff(c_35435,plain,
! [Z_358] : ( multiply(sk_c9,multiply(sk_c3,Z_358)) = Z_358 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34390]) ).
tff(c_35447,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34323,c_35435]) ).
tff(c_35854,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35850,c_35850,c_35447]) ).
tff(c_36150,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35854,c_34407]) ).
tff(c_36162,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36150]) ).
tff(c_36164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36045,c_36162]) ).
tff(c_36178,plain,
! [X1_368] :
( ( inverse(X1_368) != sk_c10 )
| ( multiply(X1_368,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_35770]) ).
tff(c_36194,plain,
inverse(sk_c2) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34328,c_36178]) ).
tff(c_36211,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34255,c_36194]) ).
tff(c_36213,plain,
inverse(sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_36282,plain,
multiply(sk_c7,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36213,c_20]) ).
tff(c_36444,plain,
! [Z_374] : ( multiply(sk_c7,multiply(sk_c9,Z_374)) = multiply(sk_c10,Z_374) ),
inference(superposition,[status(thm),theory(equality)],[c_36282,c_36337]) ).
tff(c_36456,plain,
multiply(sk_c7,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_36217,c_36444]) ).
tff(c_36460,plain,
multiply(sk_c10,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36409,c_36456]) ).
tff(c_36638,plain,
multiply(identity,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36628,c_36460]) ).
tff(c_36648,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36638]) ).
tff(c_36659,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_36648,c_36228]) ).
tff(c_36733,plain,
sk_c9 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_36659,c_34218]) ).
tff(c_36212,plain,
inverse(sk_c2) = sk_c10,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_36309,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36213,c_8]) ).
tff(c_36577,plain,
multiply(inverse(sk_c2),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36309,c_36523]) ).
tff(c_36630,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36212,c_36577]) ).
tff(c_36798,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36733,c_36628,c_2,c_36628,c_36630]) ).
tff(c_36640,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36628,c_36433]) ).
tff(c_36650,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36409,c_36640]) ).
tff(c_36664,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_36648,c_36650]) ).
tff(c_36670,plain,
inverse(sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_36664,c_36264]) ).
tff(c_36804,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_36798,c_36670]) ).
tff(c_36645,plain,
inverse(identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_36628,c_36213]) ).
tff(c_36744,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_36733,c_36645]) ).
tff(c_36800,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36798,c_36744]) ).
tff(c_36824,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36804,c_36800]) ).
tff(c_26,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_36289,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_36213,c_26]) ).
tff(c_36373,plain,
! [Z_371] : ( multiply(sk_c5,multiply(sk_c6,Z_371)) = multiply(identity,Z_371) ),
inference(superposition,[status(thm),theory(equality)],[c_36232,c_36337]) ).
tff(c_36468,plain,
! [Z_375] : ( multiply(sk_c5,multiply(sk_c6,Z_375)) = Z_375 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36373]) ).
tff(c_36483,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36289,c_36468]) ).
tff(c_36666,plain,
multiply(sk_c5,sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_36664,c_36483]) ).
tff(c_36877,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36798,c_2,c_36798,c_36666]) ).
tff(c_36878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36824,c_36877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n019.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 22:15:16 EDT 2023
% 0.17/0.36 % CPUTime :
% 13.95/4.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.95/4.91
% 13.95/4.91 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.95/4.97
% 13.95/4.97 Inference rules
% 13.95/4.97 ----------------------
% 13.95/4.97 #Ref : 0
% 13.95/4.97 #Sup : 9015
% 13.95/4.97 #Fact : 0
% 13.95/4.97 #Define : 0
% 13.95/4.97 #Split : 14
% 13.95/4.97 #Chain : 0
% 13.95/4.97 #Close : 0
% 13.95/4.97
% 13.95/4.97 Ordering : KBO
% 13.95/4.97
% 13.95/4.97 Simplification rules
% 13.95/4.97 ----------------------
% 13.95/4.97 #Subsume : 6
% 13.95/4.97 #Demod : 26866
% 13.95/4.97 #Tautology : 7267
% 13.95/4.97 #SimpNegUnit : 82
% 13.95/4.97 #BackRed : 308
% 13.95/4.97
% 13.95/4.97 #Partial instantiations: 0
% 13.95/4.97 #Strategies tried : 1
% 13.95/4.97
% 13.95/4.97 Timing (in seconds)
% 13.95/4.97 ----------------------
% 13.95/4.97 Preprocessing : 0.56
% 13.95/4.97 Parsing : 0.21
% 13.95/4.97 CNF conversion : 0.03
% 13.95/4.97 Main loop : 3.28
% 13.95/4.97 Inferencing : 0.95
% 13.95/4.97 Reduction : 1.74
% 13.95/4.97 Demodulation : 1.58
% 13.95/4.97 BG Simplification : 0.10
% 13.95/4.97 Subsumption : 0.32
% 13.95/4.97 Abstraction : 0.20
% 13.95/4.97 MUC search : 0.00
% 13.95/4.97 Cooper : 0.00
% 13.95/4.97 Total : 3.96
% 13.95/4.97 Index Insertion : 0.00
% 13.95/4.97 Index Deletion : 0.00
% 13.95/4.97 Index Matching : 0.00
% 13.95/4.97 BG Taut test : 0.00
%------------------------------------------------------------------------------