TSTP Solution File: GRP223-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP223-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:32 EDT 2023
% Result : Unsatisfiable 14.28s 5.19s
% Output : CNFRefutation 14.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 558 ( 457 unt; 12 typ; 0 def)
% Number of atoms : 711 ( 686 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 350 ( 185 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 260 (; 260 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_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_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(X4) != sk_c9 )
| ( multiply(X4,sk_c8) != sk_c9 )
| ( multiply(sk_c9,X5) != sk_c8 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 )
| ( multiply(X2,X1) != sk_c9 )
| ( inverse(X2) != X1 )
| ( multiply(X1,sk_c8) != sk_c9 )
| ( multiply(sk_c9,X3) != sk_c8 )
| ( multiply(X7,sk_c9) != X3 )
| ( inverse(X7) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c9,sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
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_41190,plain,
! [X_557,Y_558,Z_559] : ( multiply(multiply(X_557,Y_558),Z_559) = multiply(X_557,multiply(Y_558,Z_559)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41223,plain,
! [X_2,Z_559] : ( multiply(inverse(X_2),multiply(X_2,Z_559)) = multiply(identity,Z_559) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41190]) ).
tff(c_41233,plain,
! [X_2,Z_559] : ( multiply(inverse(X_2),multiply(X_2,Z_559)) = Z_559 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41223]) ).
tff(c_42971,plain,
! [X_594,Z_595] : ( multiply(inverse(X_594),multiply(X_594,Z_595)) = Z_595 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41223]) ).
tff(c_43284,plain,
! [X_599,Z_600] : ( multiply(inverse(inverse(X_599)),Z_600) = multiply(X_599,Z_600) ),
inference(superposition,[status(thm),theory(equality)],[c_41233,c_42971]) ).
tff(c_43019,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42971]) ).
tff(c_43295,plain,
! [X_599] : ( multiply(X_599,identity) = X_599 ),
inference(superposition,[status(thm),theory(equality)],[c_43284,c_43019]) ).
tff(c_31815,plain,
! [X_430,Y_431,Z_432] : ( multiply(multiply(X_430,Y_431),Z_432) = multiply(X_430,multiply(Y_431,Z_432)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31851,plain,
! [X_2,Z_432] : ( multiply(inverse(X_2),multiply(X_2,Z_432)) = multiply(identity,Z_432) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31815]) ).
tff(c_33800,plain,
! [X_469,Z_470] : ( multiply(inverse(X_469),multiply(X_469,Z_470)) = Z_470 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31851]) ).
tff(c_31862,plain,
! [X_2,Z_432] : ( multiply(inverse(X_2),multiply(X_2,Z_432)) = Z_432 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31851]) ).
tff(c_34113,plain,
! [X_474,Z_475] : ( multiply(inverse(inverse(X_474)),Z_475) = multiply(X_474,Z_475) ),
inference(superposition,[status(thm),theory(equality)],[c_33800,c_31862]) ).
tff(c_33842,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33800]) ).
tff(c_34120,plain,
! [X_474] : ( multiply(X_474,identity) = X_474 ),
inference(superposition,[status(thm),theory(equality)],[c_34113,c_33842]) ).
tff(c_22602,plain,
! [X_317,Y_318,Z_319] : ( multiply(multiply(X_317,Y_318),Z_319) = multiply(X_317,multiply(Y_318,Z_319)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22638,plain,
! [X_2,Z_319] : ( multiply(inverse(X_2),multiply(X_2,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22602]) ).
tff(c_23468,plain,
! [X_335,Z_336] : ( multiply(inverse(X_335),multiply(X_335,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22638]) ).
tff(c_22649,plain,
! [X_2,Z_319] : ( multiply(inverse(X_2),multiply(X_2,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22638]) ).
tff(c_23834,plain,
! [X_341,Z_342] : ( multiply(inverse(inverse(X_341)),Z_342) = multiply(X_341,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_23468,c_22649]) ).
tff(c_23513,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23468]) ).
tff(c_23841,plain,
! [X_341] : ( multiply(X_341,identity) = X_341 ),
inference(superposition,[status(thm),theory(equality)],[c_23834,c_23513]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_116,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_124,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_66,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_10061,plain,
! [X_132,Y_133,Z_134] : ( multiply(multiply(X_132,Y_133),Z_134) = multiply(X_132,multiply(Y_133,Z_134)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10103,plain,
! [Z_134] : ( multiply(sk_c9,multiply(sk_c2,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_10061]) ).
tff(c_10133,plain,
! [Z_136] : ( multiply(sk_c9,multiply(sk_c2,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10103]) ).
tff(c_10145,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_124,c_10133]) ).
tff(c_10149,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_10145]) ).
tff(c_149,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_179,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_149]) ).
tff(c_890,plain,
! [X_32,Z_33] : ( multiply(inverse(X_32),multiply(X_32,Z_33)) = Z_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_189,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_179]) ).
tff(c_1118,plain,
! [X_36,Z_37] : ( multiply(inverse(inverse(X_36)),Z_37) = multiply(X_36,Z_37) ),
inference(superposition,[status(thm),theory(equality)],[c_890,c_189]) ).
tff(c_926,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_890]) ).
tff(c_1125,plain,
! [X_36] : ( multiply(X_36,identity) = X_36 ),
inference(superposition,[status(thm),theory(equality)],[c_1118,c_926]) ).
tff(c_176,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_19] : ( multiply(sk_c9,multiply(sk_c2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_124,c_214]) ).
tff(c_230,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_226]) ).
tff(c_30,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_129,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_102,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_173,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129,c_191]) ).
tff(c_232,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_203]) ).
tff(c_967,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_232,c_189]) ).
tff(c_973,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_967]) ).
tff(c_1156,plain,
! [X_36] : ( multiply(X_36,inverse(X_36)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1118]) ).
tff(c_307,plain,
! [X_20,Z_21] : ( multiply(inverse(X_20),multiply(X_20,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_325,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_232,c_307]) ).
tff(c_359,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_325]) ).
tff(c_598,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_307,c_189]) ).
tff(c_352,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_307]) ).
tff(c_605,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_598,c_352]) ).
tff(c_68,plain,
! [X7_9,X2_11,X6_7,X4_12] :
( ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c9 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c9 )
| ( inverse(X4_12) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_252,plain,
! [X7_9,X2_11,X6_7,X4_12] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_68]) ).
tff(c_253,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_857,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_605,c_359,c_359,c_253]) ).
tff(c_237,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_102]) ).
tff(c_370,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_237]) ).
tff(c_489,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_370,c_189]) ).
tff(c_501,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_489]) ).
tff(c_238,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_98]) ).
tff(c_373,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_359,c_238]) ).
tff(c_506,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_501,c_373]) ).
tff(c_859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_857,c_506]) ).
tff(c_860,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_9666,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X2_11) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_973,c_973,c_2,c_973,c_973,c_1156,c_973,c_1125,c_973,c_973,c_1125,c_973,c_973,c_2,c_973,c_973,c_860]) ).
tff(c_9668,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9666]) ).
tff(c_864,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_238,c_4]) ).
tff(c_1031,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_973,c_864]) ).
tff(c_979,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_973,c_238]) ).
tff(c_1032,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1031,c_979]) ).
tff(c_9670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9668,c_1032]) ).
tff(c_9671,plain,
! [X2_11,X6_7] :
( ( inverse(X2_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_9666]) ).
tff(c_9673,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9671]) ).
tff(c_9675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9673,c_1032]) ).
tff(c_9676,plain,
! [X2_11] : ( inverse(X2_11) != identity ),
inference(splitRight,[status(thm)],[c_9671]) ).
tff(c_10005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9676,c_1032]) ).
tff(c_10007,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_10043,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10007,c_24]) ).
tff(c_10154,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10149,c_10043]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_10020,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10007,c_22]) ).
tff(c_20,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10056,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10007,c_20]) ).
tff(c_10152,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10149,c_10056]) ).
tff(c_10106,plain,
! [X_2,Z_134] : ( multiply(inverse(X_2),multiply(X_2,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10061]) ).
tff(c_10118,plain,
! [X_2,Z_134] : ( multiply(inverse(X_2),multiply(X_2,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10106]) ).
tff(c_10338,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10152,c_10118]) ).
tff(c_10344,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10154,c_10020,c_10338]) ).
tff(c_10160,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10149,c_116]) ).
tff(c_10236,plain,
! [X_137,Z_138] : ( multiply(inverse(X_137),multiply(X_137,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10106]) ).
tff(c_10266,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10160,c_10236]) ).
tff(c_10300,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10266]) ).
tff(c_10159,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10149,c_124]) ).
tff(c_10301,plain,
multiply(sk_c2,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10300,c_10159]) ).
tff(c_10419,plain,
multiply(sk_c2,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10344,c_10301]) ).
tff(c_10349,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10344,c_10344,c_10154]) ).
tff(c_10354,plain,
sk_c9 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10344,c_10149]) ).
tff(c_10094,plain,
! [Z_134] : ( multiply(sk_c2,multiply(sk_c9,Z_134)) = multiply(sk_c3,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_10061]) ).
tff(c_10458,plain,
! [Z_134] : ( multiply(sk_c2,multiply(sk_c5,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_10354,c_2,c_10300,c_10094]) ).
tff(c_10509,plain,
multiply(sk_c2,sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10349,c_10458]) ).
tff(c_10518,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10419,c_10509]) ).
tff(c_10162,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10149,c_98]) ).
tff(c_10181,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10162,c_4]) ).
tff(c_10407,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10344,c_10181]) ).
tff(c_10528,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10518,c_10407]) ).
tff(c_10678,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_10528,c_10118]) ).
tff(c_10690,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10678]) ).
tff(c_10157,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10149,c_10007]) ).
tff(c_10406,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10344,c_10344,c_10157]) ).
tff(c_10529,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10518,c_10518,c_10406]) ).
tff(c_10694,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10690,c_10529]) ).
tff(c_10699,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10694]) ).
tff(c_10701,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_50,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_10755,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_10701,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_10749,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10701,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_10720,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10701,c_54]) ).
tff(c_10724,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10720,c_4]) ).
tff(c_10760,plain,
! [X_141,Y_142,Z_143] : ( multiply(multiply(X_141,Y_142),Z_143) = multiply(X_141,multiply(Y_142,Z_143)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10787,plain,
! [Z_143] : ( multiply(sk_c9,multiply(sk_c6,Z_143)) = multiply(identity,Z_143) ),
inference(superposition,[status(thm),theory(equality)],[c_10724,c_10760]) ).
tff(c_10940,plain,
! [Z_150] : ( multiply(sk_c9,multiply(sk_c6,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10787]) ).
tff(c_10952,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_10749,c_10940]) ).
tff(c_10956,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10755,c_10952]) ).
tff(c_44,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_10734,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10701,c_44]) ).
tff(c_10700,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_10705,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10700,c_4]) ).
tff(c_10793,plain,
! [Z_143] : ( multiply(sk_c5,multiply(sk_c4,Z_143)) = multiply(identity,Z_143) ),
inference(superposition,[status(thm),theory(equality)],[c_10705,c_10760]) ).
tff(c_10917,plain,
! [Z_149] : ( multiply(sk_c5,multiply(sk_c4,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10793]) ).
tff(c_10929,plain,
multiply(sk_c5,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10734,c_10917]) ).
tff(c_10959,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10956,c_10929]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_10742,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_10701,c_48]) ).
tff(c_10965,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10956,c_10742]) ).
tff(c_11080,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10959,c_10965]) ).
tff(c_11091,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11080,c_10959]) ).
tff(c_10805,plain,
! [X_2,Z_143] : ( multiply(inverse(X_2),multiply(X_2,Z_143)) = multiply(identity,Z_143) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10760]) ).
tff(c_10817,plain,
! [X_2,Z_143] : ( multiply(inverse(X_2),multiply(X_2,Z_143)) = Z_143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10805]) ).
tff(c_11183,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11091,c_10817]) ).
tff(c_11189,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11183]) ).
tff(c_10971,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10956,c_116]) ).
tff(c_11096,plain,
multiply(sk_c5,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11080,c_11080,c_10971]) ).
tff(c_11353,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11189,c_2,c_11189,c_11096]) ).
tff(c_10974,plain,
multiply(sk_c8,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10956,c_89]) ).
tff(c_11098,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11080,c_10974]) ).
tff(c_11283,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11189,c_11098]) ).
tff(c_10970,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_10956,c_10701]) ).
tff(c_11095,plain,
multiply(sk_c2,sk_c5) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11080,c_10970]) ).
tff(c_11361,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11353,c_2,c_11283,c_11189,c_11095]) ).
tff(c_11363,plain,
multiply(sk_c9,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_38,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_21426,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11363,c_38]) ).
tff(c_11607,plain,
! [X_163,Y_164,Z_165] : ( multiply(multiply(X_163,Y_164),Z_165) = multiply(X_163,multiply(Y_164,Z_165)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11649,plain,
! [X_2,Z_165] : ( multiply(inverse(X_2),multiply(X_2,Z_165)) = multiply(identity,Z_165) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11607]) ).
tff(c_11661,plain,
! [X_2,Z_165] : ( multiply(inverse(X_2),multiply(X_2,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11649]) ).
tff(c_13420,plain,
! [X_203,Z_204] : ( multiply(inverse(X_203),multiply(X_203,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11649]) ).
tff(c_13777,plain,
! [X_207,Z_208] : ( multiply(inverse(inverse(X_207)),Z_208) = multiply(X_207,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_11661,c_13420]) ).
tff(c_13456,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13420]) ).
tff(c_13784,plain,
! [X_207] : ( multiply(X_207,identity) = X_207 ),
inference(superposition,[status(thm),theory(equality)],[c_13777,c_13456]) ).
tff(c_11596,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11363,c_38]) ).
tff(c_11403,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_11430,plain,
! [X_156,Y_157,Z_158] : ( multiply(multiply(X_156,Y_157),Z_158) = multiply(X_156,multiply(Y_157,Z_158)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11472,plain,
! [Z_158] : ( multiply(sk_c9,multiply(sk_c2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_11430]) ).
tff(c_11512,plain,
! [Z_160] : ( multiply(sk_c9,multiply(sk_c2,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11472]) ).
tff(c_11524,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11403,c_11512]) ).
tff(c_11529,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11524,c_11363]) ).
tff(c_11415,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11363,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_11424,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11363,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_11381,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_11363,c_42]) ).
tff(c_11385,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11381,c_4]) ).
tff(c_11460,plain,
! [Z_158] : ( multiply(sk_c9,multiply(sk_c6,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_11385,c_11430]) ).
tff(c_11560,plain,
! [Z_162] : ( multiply(sk_c9,multiply(sk_c6,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11460]) ).
tff(c_11572,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11424,c_11560]) ).
tff(c_11576,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11415,c_11572]) ).
tff(c_11578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11529,c_11576]) ).
tff(c_11580,plain,
multiply(sk_c2,sk_c9) != sk_c3,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_11590,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11580,c_52]) ).
tff(c_11634,plain,
! [Z_165] : ( multiply(sk_c9,multiply(sk_c6,Z_165)) = multiply(identity,Z_165) ),
inference(superposition,[status(thm),theory(equality)],[c_11385,c_11607]) ).
tff(c_11824,plain,
! [Z_174] : ( multiply(sk_c9,multiply(sk_c6,Z_174)) = Z_174 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11634]) ).
tff(c_11836,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11590,c_11824]) ).
tff(c_11840,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11596,c_11836]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_11398,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_11363,c_32]) ).
tff(c_11362,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_11368,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11362,c_4]) ).
tff(c_11640,plain,
! [Z_165] : ( multiply(sk_c5,multiply(sk_c4,Z_165)) = multiply(identity,Z_165) ),
inference(superposition,[status(thm),theory(equality)],[c_11368,c_11607]) ).
tff(c_11785,plain,
! [Z_172] : ( multiply(sk_c5,multiply(sk_c4,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11640]) ).
tff(c_11797,plain,
multiply(sk_c5,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11398,c_11785]) ).
tff(c_11842,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11840,c_11797]) ).
tff(c_13585,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11842,c_11661]) ).
tff(c_13591,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13585]) ).
tff(c_13815,plain,
! [X_207] : ( multiply(X_207,inverse(X_207)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13777]) ).
tff(c_11928,plain,
! [X_175,Z_176] : ( multiply(inverse(X_175),multiply(X_175,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11649]) ).
tff(c_12398,plain,
! [X_181,Z_182] : ( multiply(inverse(inverse(X_181)),Z_182) = multiply(X_181,Z_182) ),
inference(superposition,[status(thm),theory(equality)],[c_11928,c_11661]) ).
tff(c_11982,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11928]) ).
tff(c_12405,plain,
! [X_181] : ( multiply(X_181,identity) = X_181 ),
inference(superposition,[status(thm),theory(equality)],[c_12398,c_11982]) ).
tff(c_11579,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_11850,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11840,c_11579]) ).
tff(c_11851,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11840,c_11398]) ).
tff(c_11952,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11851,c_11928]) ).
tff(c_11990,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11850,c_11362,c_11952]) ).
tff(c_12119,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11990,c_11842]) ).
tff(c_12126,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12119,c_11661]) ).
tff(c_12133,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12126]) ).
tff(c_12143,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_11990]) ).
tff(c_11376,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_11740,plain,
! [X4_170] :
( ( multiply(X4_170,sk_c8) != sk_c9 )
| ( inverse(X4_170) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_11750,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_11376,c_11740]) ).
tff(c_11763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_11750]) ).
tff(c_11764,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c9 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_11878,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11840,c_11840,c_11840,c_11840,c_11840,c_11840,c_11840,c_11840,c_11764]) ).
tff(c_11879,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_11878]) ).
tff(c_13416,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12405,c_12143,c_12143,c_2,c_12143,c_12143,c_11879]) ).
tff(c_11853,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_11840,c_11381]) ).
tff(c_12001,plain,
inverse(sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11990,c_11853]) ).
tff(c_12049,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12001,c_4]) ).
tff(c_12258,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12133,c_12049]) ).
tff(c_12138,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_12001]) ).
tff(c_12260,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12258,c_12138]) ).
tff(c_13418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13416,c_12260]) ).
tff(c_13419,plain,
! [X2_11,X6_7] :
( ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_11878]) ).
tff(c_21210,plain,
! [X2_11,X6_7] :
( ( inverse(X2_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13784,c_13591,c_13591,c_2,c_13591,c_13591,c_13815,c_13591,c_13784,c_13591,c_13591,c_13419]) ).
tff(c_21212,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_21210]) ).
tff(c_11867,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11853,c_4]) ).
tff(c_13611,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13591,c_11867]) ).
tff(c_13603,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13591,c_11853]) ).
tff(c_13630,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13611,c_13603]) ).
tff(c_21214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21212,c_13630]) ).
tff(c_21215,plain,
! [X2_11] : ( inverse(X2_11) != identity ),
inference(splitRight,[status(thm)],[c_21210]) ).
tff(c_21217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21215,c_13630]) ).
tff(c_21219,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_21413,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21219,c_28]) ).
tff(c_21218,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_21223,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21218,c_4]) ).
tff(c_21443,plain,
! [X_300,Y_301,Z_302] : ( multiply(multiply(X_300,Y_301),Z_302) = multiply(X_300,multiply(Y_301,Z_302)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21470,plain,
! [Z_302] : ( multiply(sk_c9,multiply(sk_c6,Z_302)) = multiply(identity,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_21223,c_21443]) ).
tff(c_21522,plain,
! [Z_305] : ( multiply(sk_c9,multiply(sk_c6,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21470]) ).
tff(c_21534,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_21413,c_21522]) ).
tff(c_21538,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21426,c_21534]) ).
tff(c_21244,plain,
multiply(sk_c2,sk_c9) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_21275,plain,
! [X_293,Y_294,Z_295] : ( multiply(multiply(X_293,Y_294),Z_295) = multiply(X_293,multiply(Y_294,Z_295)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21314,plain,
! [Z_295] : ( multiply(sk_c9,multiply(sk_c2,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_21275]) ).
tff(c_21344,plain,
! [Z_297] : ( multiply(sk_c9,multiply(sk_c2,Z_297)) = Z_297 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21314]) ).
tff(c_21356,plain,
multiply(sk_c9,sk_c3) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_21244,c_21344]) ).
tff(c_21360,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21356,c_11363]) ).
tff(c_21261,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_11363,c_38]) ).
tff(c_21245,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21219,c_28]) ).
tff(c_21305,plain,
! [Z_295] : ( multiply(sk_c9,multiply(sk_c6,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_21223,c_21275]) ).
tff(c_21392,plain,
! [Z_299] : ( multiply(sk_c9,multiply(sk_c6,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21305]) ).
tff(c_21404,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_21245,c_21392]) ).
tff(c_21408,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21261,c_21404]) ).
tff(c_21410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21360,c_21408]) ).
tff(c_21411,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_22001,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21538,c_21411]) ).
tff(c_21239,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_21219,c_20]) ).
tff(c_22003,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21538,c_21239]) ).
tff(c_21482,plain,
! [X_2,Z_302] : ( multiply(inverse(X_2),multiply(X_2,Z_302)) = multiply(identity,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21443]) ).
tff(c_22107,plain,
! [X_312,Z_313] : ( multiply(inverse(X_312),multiply(X_312,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21482]) ).
tff(c_22137,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_22003,c_22107]) ).
tff(c_22176,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22001,c_11362,c_22137]) ).
tff(c_22006,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21538,c_21218]) ).
tff(c_22033,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22006,c_4]) ).
tff(c_22316,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22176,c_22033]) ).
tff(c_21999,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21538,c_21426]) ).
tff(c_22128,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21999,c_22107]) ).
tff(c_22174,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22128]) ).
tff(c_22178,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22174,c_21999]) ).
tff(c_22299,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22176,c_22176,c_22178]) ).
tff(c_22197,plain,
sk_c9 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22176,c_21538]) ).
tff(c_21461,plain,
! [Z_302] : ( multiply(sk_c5,multiply(sk_c8,Z_302)) = multiply(sk_c9,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_21411,c_21443]) ).
tff(c_22261,plain,
! [Z_302] : ( multiply(sk_c5,multiply(sk_c5,Z_302)) = multiply(sk_c5,Z_302) ),
inference(demodulation,[status(thm),theory(equality)],[c_22197,c_22176,c_21461]) ).
tff(c_22320,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_22316,c_22261]) ).
tff(c_22329,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22316,c_22299,c_22320]) ).
tff(c_22009,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21538,c_98]) ).
tff(c_22194,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22176,c_22009]) ).
tff(c_22336,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22329,c_22194]) ).
tff(c_22379,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22336,c_4]) ).
tff(c_21494,plain,
! [X_2,Z_302] : ( multiply(inverse(X_2),multiply(X_2,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21482]) ).
tff(c_22513,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_22379,c_21494]) ).
tff(c_22525,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22513]) ).
tff(c_22005,plain,
multiply(sk_c1,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_21538,c_21219]) ).
tff(c_22187,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22176,c_22176,c_22005]) ).
tff(c_22471,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22329,c_22329,c_22187]) ).
tff(c_22529,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22525,c_22471]) ).
tff(c_22534,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22529]) ).
tff(c_22535,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_22536,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_22568,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_22536,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_22578,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22536,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_22548,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_22536,c_18]) ).
tff(c_22552,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22548,c_4]) ).
tff(c_22626,plain,
! [Z_319] : ( multiply(sk_c9,multiply(sk_c6,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_22552,c_22602]) ).
tff(c_22651,plain,
! [Z_320] : ( multiply(sk_c9,multiply(sk_c6,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22626]) ).
tff(c_22663,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_22578,c_22651]) ).
tff(c_22667,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22568,c_22663]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_22556,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_22536,c_8]) ).
tff(c_22673,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22667,c_22556]) ).
tff(c_23489,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_22673,c_23468]) ).
tff(c_23521,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22535,c_23489]) ).
tff(c_23580,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_23521,c_22649]) ).
tff(c_23586,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23580]) ).
tff(c_23855,plain,
! [X_341] : ( multiply(X_341,inverse(X_341)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_23834,c_4]) ).
tff(c_22736,plain,
! [X_321,Z_322] : ( multiply(inverse(X_321),multiply(X_321,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22638]) ).
tff(c_22757,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_22673,c_22736]) ).
tff(c_22792,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22535,c_22757]) ).
tff(c_22814,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_22792,c_22649]) ).
tff(c_22820,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22814]) ).
tff(c_23040,plain,
! [X_325,Z_326] : ( multiply(inverse(inverse(X_325)),Z_326) = multiply(X_325,Z_326) ),
inference(superposition,[status(thm),theory(equality)],[c_22736,c_22649]) ).
tff(c_22784,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22736]) ).
tff(c_23047,plain,
! [X_325] : ( multiply(X_325,identity) = X_325 ),
inference(superposition,[status(thm),theory(equality)],[c_23040,c_22784]) ).
tff(c_22682,plain,
! [X7_9,X2_11,X6_7,X4_12] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22667,c_22667,c_22667,c_22667,c_22667,c_22667,c_22667,c_22667,c_22667,c_22667,c_68]) ).
tff(c_22683,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_22682]) ).
tff(c_23421,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22820,c_23047,c_22820,c_22820,c_22683]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22585,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_22536,c_12]) ).
tff(c_22669,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22667,c_22585]) ).
tff(c_22810,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22792,c_22669]) ).
tff(c_22839,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22820,c_22810]) ).
tff(c_22677,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22667,c_85]) ).
tff(c_22829,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22810,c_22677]) ).
tff(c_22872,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22839,c_22829]) ).
tff(c_22879,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22872,c_4]) ).
tff(c_22899,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_22879,c_22649]) ).
tff(c_22911,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22899]) ).
tff(c_22915,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22911,c_22872]) ).
tff(c_23423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23421,c_22915]) ).
tff(c_23424,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_22682]) ).
tff(c_31333,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X2_11) != identity )
| ( inverse(X7_9) != identity )
| ( identity != X7_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23841,c_23586,c_23586,c_2,c_23586,c_23586,c_23855,c_23586,c_23841,c_23586,c_23586,c_23841,c_23586,c_23586,c_2,c_23586,c_23586,c_23424]) ).
tff(c_31335,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31333]) ).
tff(c_23576,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23521,c_22669]) ).
tff(c_23633,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23586,c_23576]) ).
tff(c_23428,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22677,c_4]) ).
tff(c_23595,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23576,c_23428]) ).
tff(c_23737,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23633,c_23595]) ).
tff(c_23596,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23576,c_22677]) ).
tff(c_23685,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23633,c_23596]) ).
tff(c_23738,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23737,c_23685]) ).
tff(c_31337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31335,c_23738]) ).
tff(c_31338,plain,
! [X2_11,X6_7] :
( ( inverse(X2_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_31333]) ).
tff(c_31340,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31338]) ).
tff(c_31342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31340,c_23738]) ).
tff(c_31343,plain,
! [X2_11] : ( inverse(X2_11) != identity ),
inference(splitRight,[status(thm)],[c_31338]) ).
tff(c_31734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31343,c_23738]) ).
tff(c_31736,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_62,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_31785,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31736,c_62]) ).
tff(c_64,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_31780,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_31736,c_64]) ).
tff(c_31735,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_31740,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31735,c_4]) ).
tff(c_31848,plain,
! [Z_432] : ( multiply(sk_c9,multiply(sk_c6,Z_432)) = multiply(identity,Z_432) ),
inference(superposition,[status(thm),theory(equality)],[c_31740,c_31815]) ).
tff(c_32134,plain,
! [Z_438] : ( multiply(sk_c9,multiply(sk_c6,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31848]) ).
tff(c_32146,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31780,c_32134]) ).
tff(c_32150,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31785,c_32146]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_31763,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31736,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_31748,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_31736,c_58]) ).
tff(c_31752,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31748,c_4]) ).
tff(c_31845,plain,
! [Z_432] : ( multiply(sk_c5,multiply(sk_c4,Z_432)) = multiply(identity,Z_432) ),
inference(superposition,[status(thm),theory(equality)],[c_31752,c_31815]) ).
tff(c_31864,plain,
! [Z_433] : ( multiply(sk_c5,multiply(sk_c4,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31845]) ).
tff(c_31876,plain,
multiply(sk_c5,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_31763,c_31864]) ).
tff(c_32166,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32150,c_31876]) ).
tff(c_60,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_31797,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31736,c_60]) ).
tff(c_32167,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32150,c_31797]) ).
tff(c_33752,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32166,c_32167]) ).
tff(c_33753,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_33752,c_32166]) ).
tff(c_33897,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_33753,c_31862]) ).
tff(c_33903,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33897]) ).
tff(c_33914,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33903,c_33752]) ).
tff(c_34134,plain,
! [X_474] : ( multiply(X_474,inverse(X_474)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_34113,c_4]) ).
tff(c_32268,plain,
! [X_440,Z_441] : ( multiply(inverse(X_440),multiply(X_440,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31851]) ).
tff(c_32581,plain,
! [X_445,Z_446] : ( multiply(inverse(inverse(X_445)),Z_446) = multiply(X_445,Z_446) ),
inference(superposition,[status(thm),theory(equality)],[c_32268,c_31862]) ).
tff(c_32310,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32268]) ).
tff(c_32588,plain,
! [X_445] : ( multiply(X_445,identity) = X_445 ),
inference(superposition,[status(thm),theory(equality)],[c_32581,c_32310]) ).
tff(c_32220,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32166,c_32167]) ).
tff(c_32221,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32220,c_32166]) ).
tff(c_32365,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_32221,c_31862]) ).
tff(c_32371,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32365]) ).
tff(c_32382,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32371,c_32220]) ).
tff(c_31888,plain,
! [Z_434] : ( multiply(sk_c9,multiply(sk_c6,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31848]) ).
tff(c_31900,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31780,c_31888]) ).
tff(c_31904,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31785,c_31900]) ).
tff(c_31908,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31785]) ).
tff(c_31998,plain,
! [X_436,Z_437] : ( multiply(inverse(X_436),multiply(X_436,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31851]) ).
tff(c_32019,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31908,c_31998]) ).
tff(c_32057,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32019]) ).
tff(c_31907,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31797]) ).
tff(c_31912,plain,
multiply(sk_c4,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31763]) ).
tff(c_32016,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_31912,c_31998]) ).
tff(c_32056,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_31907,c_31748,c_32016]) ).
tff(c_31915,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31735]) ).
tff(c_31909,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31780]) ).
tff(c_31887,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c9 )
| ( inverse(X4_12) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_31934,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31904,c_31887]) ).
tff(c_31971,plain,
( ( sk_c8 != sk_c7 )
| ( inverse(sk_c6) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_31909,c_31934]) ).
tff(c_31978,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31915,c_31971]) ).
tff(c_32062,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32056,c_31978]) ).
tff(c_32097,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32057,c_32062]) ).
tff(c_31906,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_31904,c_31876]) ).
tff(c_32120,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32056,c_31906]) ).
tff(c_32124,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_32120,c_31862]) ).
tff(c_32130,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32124]) ).
tff(c_32132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32097,c_32130]) ).
tff(c_32133,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c9 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_32204,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32150,c_32150,c_32150,c_32150,c_32150,c_32150,c_32150,c_32150,c_32133]) ).
tff(c_32205,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_32204]) ).
tff(c_33734,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32588,c_32382,c_32382,c_2,c_32382,c_32382,c_32205]) ).
tff(c_31768,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_32171,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32150,c_31768]) ).
tff(c_32190,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32171,c_4]) ).
tff(c_32447,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32382,c_32190]) ).
tff(c_32224,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_32220,c_32171]) ).
tff(c_32377,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32371,c_32224]) ).
tff(c_32448,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32447,c_32377]) ).
tff(c_33736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33734,c_32448]) ).
tff(c_33737,plain,
! [X2_11,X6_7] :
( ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_32204]) ).
tff(c_41141,plain,
! [X2_11,X6_7] :
( ( inverse(X2_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34120,c_33914,c_33914,c_2,c_33914,c_33914,c_34134,c_33914,c_34120,c_33914,c_33914,c_33737]) ).
tff(c_41143,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_41141]) ).
tff(c_33979,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33914,c_32190]) ).
tff(c_33756,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_33752,c_32171]) ).
tff(c_33909,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33903,c_33756]) ).
tff(c_33980,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33979,c_33909]) ).
tff(c_41145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41143,c_33980]) ).
tff(c_41146,plain,
! [X2_11] : ( inverse(X2_11) != identity ),
inference(splitRight,[status(thm)],[c_41141]) ).
tff(c_41148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41146,c_33980]) ).
tff(c_41150,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_41151,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41150,c_14]) ).
tff(c_41161,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41150,c_16]) ).
tff(c_41220,plain,
! [Z_559] : ( multiply(sk_c9,multiply(sk_c6,Z_559)) = multiply(identity,Z_559) ),
inference(superposition,[status(thm),theory(equality)],[c_31740,c_41190]) ).
tff(c_41499,plain,
! [Z_566] : ( multiply(sk_c9,multiply(sk_c6,Z_566)) = Z_566 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41220]) ).
tff(c_41511,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_41161,c_41499]) ).
tff(c_41515,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41151,c_41511]) ).
tff(c_41217,plain,
! [Z_559] : ( multiply(sk_c5,multiply(sk_c4,Z_559)) = multiply(identity,Z_559) ),
inference(superposition,[status(thm),theory(equality)],[c_31752,c_41190]) ).
tff(c_41235,plain,
! [Z_560] : ( multiply(sk_c5,multiply(sk_c4,Z_560)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41217]) ).
tff(c_41247,plain,
multiply(sk_c5,sk_c9) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_31763,c_41235]) ).
tff(c_41517,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41515,c_41247]) ).
tff(c_42989,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41517,c_42971]) ).
tff(c_43026,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42989]) ).
tff(c_43329,plain,
! [X_599] : ( multiply(X_599,inverse(X_599)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43284]) ).
tff(c_41587,plain,
! [X_567,Z_568] : ( multiply(inverse(X_567),multiply(X_567,Z_568)) = Z_568 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41223]) ).
tff(c_41900,plain,
! [X_572,Z_573] : ( multiply(inverse(inverse(X_572)),Z_573) = multiply(X_572,Z_573) ),
inference(superposition,[status(thm),theory(equality)],[c_41233,c_41587]) ).
tff(c_41635,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41587]) ).
tff(c_41911,plain,
! [X_572] : ( multiply(X_572,identity) = X_572 ),
inference(superposition,[status(thm),theory(equality)],[c_41900,c_41635]) ).
tff(c_41605,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41517,c_41587]) ).
tff(c_41642,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41605]) ).
tff(c_41259,plain,
! [Z_561] : ( multiply(sk_c9,multiply(sk_c6,Z_561)) = Z_561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41220]) ).
tff(c_41271,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_41161,c_41259]) ).
tff(c_41275,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41151,c_41271]) ).
tff(c_41277,plain,
multiply(sk_c5,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41275,c_41247]) ).
tff(c_41386,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41277,c_41233]) ).
tff(c_41395,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41386]) ).
tff(c_41251,plain,
! [X4_12] :
( ( multiply(X4_12,sk_c8) != sk_c9 )
| ( inverse(X4_12) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_41291,plain,
! [X4_562] :
( ( multiply(X4_562,sk_c8) != sk_c8 )
| ( inverse(X4_562) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41275,c_41275,c_41251]) ).
tff(c_41304,plain,
inverse(identity) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2,c_41291]) ).
tff(c_41411,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41395,c_41304]) ).
tff(c_41285,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41275,c_31735]) ).
tff(c_41412,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41395,c_41285]) ).
tff(c_41431,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41412,c_4]) ).
tff(c_41469,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41431,c_41233]) ).
tff(c_41481,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41469]) ).
tff(c_41486,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41481,c_41412]) ).
tff(c_41490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41411,c_41486]) ).
tff(c_41491,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c9 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c9 )
| ( inverse(X7_9) != sk_c9 )
| ( multiply(sk_c9,multiply(X7_9,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_41530,plain,
! [X6_7,X2_11,X7_9] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 )
| ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41515,c_41515,c_41515,c_41515,c_41515,c_41515,c_41515,c_41515,c_41491]) ).
tff(c_41531,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_41530]) ).
tff(c_42912,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_41911,c_41642,c_41642,c_2,c_41642,c_41642,c_41531]) ).
tff(c_41149,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_41519,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41515,c_41149]) ).
tff(c_41579,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41517,c_41519]) ).
tff(c_41664,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41642,c_41579]) ).
tff(c_41708,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41664,c_31748]) ).
tff(c_41741,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41708,c_4]) ).
tff(c_41749,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_41741,c_41233]) ).
tff(c_41761,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41749]) ).
tff(c_41765,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_41761,c_41708]) ).
tff(c_42914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42912,c_41765]) ).
tff(c_42915,plain,
! [X2_11,X6_7] :
( ( multiply(inverse(X2_11),sk_c8) != sk_c8 )
| ( multiply(X2_11,inverse(X2_11)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_41530]) ).
tff(c_51009,plain,
! [X2_11,X6_7] :
( ( inverse(X2_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43295,c_43026,c_43026,c_2,c_43026,c_43026,c_43329,c_43026,c_43295,c_43026,c_43026,c_42915]) ).
tff(c_51011,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_51009]) ).
tff(c_42963,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41517,c_41519]) ).
tff(c_43048,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43026,c_42963]) ).
tff(c_43092,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43048,c_31748]) ).
tff(c_43125,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43092,c_4]) ).
tff(c_43133,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43125,c_41233]) ).
tff(c_43145,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43133]) ).
tff(c_43149,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43145,c_43092]) ).
tff(c_51013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51011,c_43149]) ).
tff(c_51014,plain,
! [X2_11] : ( inverse(X2_11) != identity ),
inference(splitRight,[status(thm)],[c_51009]) ).
tff(c_51016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51014,c_43149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP223-1 : 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 22:15:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 14.28/5.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.28/5.24
% 14.28/5.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.63/5.31
% 14.63/5.31 Inference rules
% 14.63/5.31 ----------------------
% 14.63/5.31 #Ref : 0
% 14.63/5.31 #Sup : 12619
% 14.63/5.31 #Fact : 0
% 14.63/5.31 #Define : 0
% 14.63/5.31 #Split : 33
% 14.63/5.31 #Chain : 0
% 14.63/5.31 #Close : 0
% 14.63/5.31
% 14.63/5.31 Ordering : KBO
% 14.63/5.31
% 14.63/5.31 Simplification rules
% 14.63/5.31 ----------------------
% 14.63/5.31 #Subsume : 7
% 14.63/5.31 #Demod : 28507
% 14.63/5.31 #Tautology : 10147
% 14.63/5.31 #SimpNegUnit : 79
% 14.63/5.31 #BackRed : 591
% 14.63/5.31
% 14.63/5.31 #Partial instantiations: 0
% 14.63/5.31 #Strategies tried : 1
% 14.63/5.31
% 14.63/5.31 Timing (in seconds)
% 14.63/5.31 ----------------------
% 14.63/5.32 Preprocessing : 0.50
% 14.63/5.32 Parsing : 0.20
% 14.63/5.32 CNF conversion : 0.03
% 14.63/5.32 Main loop : 3.65
% 14.63/5.32 Inferencing : 1.12
% 14.63/5.32 Reduction : 1.82
% 14.63/5.32 Demodulation : 1.59
% 14.63/5.32 BG Simplification : 0.11
% 14.63/5.32 Subsumption : 0.38
% 14.63/5.32 Abstraction : 0.24
% 14.63/5.32 MUC search : 0.00
% 14.63/5.32 Cooper : 0.00
% 14.63/5.32 Total : 4.29
% 14.63/5.32 Index Insertion : 0.00
% 14.63/5.32 Index Deletion : 0.00
% 14.63/5.32 Index Matching : 0.00
% 14.63/5.32 BG Taut test : 0.00
%------------------------------------------------------------------------------