TSTP Solution File: GRP231-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.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 10:40:34 EDT 2023
% Result : Unsatisfiable 6.85s 2.69s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 39
% Syntax : Number of formulae : 536 ( 429 unt; 11 typ; 0 def)
% Number of atoms : 691 ( 668 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 366 ( 200 ~; 166 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 218 (; 218 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
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_65,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(sk_c8) != sk_c7 )
| ( multiply(X4,X5) != sk_c8 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c7) != sk_c8 )
| ( inverse(X6) != sk_c8 )
| ( multiply(X6,sk_c7) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X3,sk_c8) != X2 )
| ( inverse(X3) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_85,plain,
inverse(sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_2797,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_160,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_193,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_160]) ).
tff(c_1202,plain,
! [X_40,Z_41] : ( multiply(inverse(X_40),multiply(X_40,Z_41)) = Z_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193]) ).
tff(c_204,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193]) ).
tff(c_1273,plain,
! [X_43,Z_44] : ( multiply(inverse(inverse(X_43)),Z_44) = multiply(X_43,Z_44) ),
inference(superposition,[status(thm),theory(equality)],[c_1202,c_204]) ).
tff(c_1226,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1202]) ).
tff(c_1280,plain,
! [X_43] : ( multiply(X_43,identity) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1273,c_1226]) ).
tff(c_719,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_193]) ).
tff(c_790,plain,
! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_719,c_204]) ).
tff(c_743,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_797,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_790,c_743]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_98,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_126,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_139,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_111,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_115,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_111,c_4]) ).
tff(c_184,plain,
! [Z_16] : ( multiply(sk_c2,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_160]) ).
tff(c_206,plain,
! [Z_17] : ( multiply(sk_c2,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_184]) ).
tff(c_218,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_139,c_206]) ).
tff(c_133,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_190,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c3,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_160]) ).
tff(c_381,plain,
! [Z_22] : ( multiply(sk_c8,multiply(sk_c3,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190]) ).
tff(c_396,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_133,c_381]) ).
tff(c_187,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c8,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_160]) ).
tff(c_202,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c8,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187]) ).
tff(c_403,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_396,c_202]) ).
tff(c_181,plain,
! [Z_16] : ( multiply(sk_c2,multiply(sk_c7,Z_16)) = multiply(sk_c8,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_160]) ).
tff(c_444,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_403,c_181]) ).
tff(c_450,plain,
multiply(sk_c8,sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_218,c_444]) ).
tff(c_455,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_450,c_202]) ).
tff(c_465,plain,
multiply(sk_c8,sk_c2) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_455,c_181]) ).
tff(c_471,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126,c_465]) ).
tff(c_476,plain,
multiply(sk_c7,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_471,c_202]) ).
tff(c_482,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_476]) ).
tff(c_410,plain,
! [Z_23] : ( multiply(sk_c2,multiply(sk_c7,Z_23)) = multiply(sk_c8,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_160]) ).
tff(c_428,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_102,c_410]) ).
tff(c_432,plain,
multiply(sk_c2,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_428]) ).
tff(c_599,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_482,c_432]) ).
tff(c_608,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_599]) ).
tff(c_604,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_482,c_126]) ).
tff(c_610,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_604]) ).
tff(c_657,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_608,c_610]) ).
tff(c_488,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_482,c_432]) ).
tff(c_497,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_488]) ).
tff(c_229,plain,
! [Z_18] : ( multiply(sk_c7,multiply(sk_c8,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187]) ).
tff(c_241,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_229]) ).
tff(c_486,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_482,c_455]) ).
tff(c_496,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_486]) ).
tff(c_515,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_496]) ).
tff(c_493,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_482,c_126]) ).
tff(c_499,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_493]) ).
tff(c_546,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_497,c_499]) ).
tff(c_510,plain,
inverse(sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_496,c_98]) ).
tff(c_560,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_515,c_546,c_510]) ).
tff(c_68,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_246,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_68]) ).
tff(c_359,plain,
! [X4_21] :
( ( multiply(inverse(X4_21),sk_c7) != sk_c8 )
| ( multiply(X4_21,inverse(X4_21)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_361,plain,
( ( multiply(sk_c2,sk_c7) != sk_c8 )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_359]) ).
tff(c_371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_139,c_111,c_126,c_361]) ).
tff(c_372,plain,
! [X6_7,X1_9,X3_8] :
( ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_484,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_372]) ).
tff(c_578,plain,
! [X3_25] :
( ( inverse(X3_25) != identity )
| ( multiply(X3_25,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_546,c_2,c_546,c_497,c_546,c_484]) ).
tff(c_586,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_578]) ).
tff(c_594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_560,c_560,c_586]) ).
tff(c_595,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_372]) ).
tff(c_688,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,identity) != identity )
| ( inverse(X1_9) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_657,c_657,c_608,c_657,c_657,c_608,c_595]) ).
tff(c_689,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity ) ),
inference(splitLeft,[status(thm)],[c_688]) ).
tff(c_1170,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_797,c_689]) ).
tff(c_597,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_482,c_455]) ).
tff(c_607,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_241,c_597]) ).
tff(c_626,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_608,c_607]) ).
tff(c_621,plain,
inverse(sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_607,c_98]) ).
tff(c_671,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_626,c_657,c_621]) ).
tff(c_1172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1170,c_671]) ).
tff(c_1173,plain,
! [X1_9] :
( ( multiply(X1_9,identity) != identity )
| ( inverse(X1_9) != identity ) ),
inference(splitRight,[status(thm)],[c_688]) ).
tff(c_1654,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1280,c_1173]) ).
tff(c_1656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1654,c_671]) ).
tff(c_1658,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_22,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_1701,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_1658,c_22]) ).
tff(c_1709,plain,
! [X_53,Y_54,Z_55] : ( multiply(multiply(X_53,Y_54),Z_55) = multiply(X_53,multiply(Y_54,Z_55)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1748,plain,
! [Z_55] : ( multiply(sk_c7,multiply(sk_c8,Z_55)) = multiply(identity,Z_55) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_1709]) ).
tff(c_2066,plain,
! [Z_61] : ( multiply(sk_c7,multiply(sk_c8,Z_61)) = Z_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1748]) ).
tff(c_2084,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1701,c_2066]) ).
tff(c_2093,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_2066]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_1671,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_1658,c_26]) ).
tff(c_1675,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1671,c_4]) ).
tff(c_2087,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_1675,c_2066]) ).
tff(c_2255,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2093,c_2087]) ).
tff(c_24,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1696,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_1658,c_24]) ).
tff(c_2256,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2255,c_1696]) ).
tff(c_1751,plain,
! [Z_55] : ( multiply(sk_c8,multiply(sk_c3,Z_55)) = multiply(identity,Z_55) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_1709]) ).
tff(c_1766,plain,
! [Z_55] : ( multiply(sk_c8,multiply(sk_c3,Z_55)) = Z_55 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1751]) ).
tff(c_2313,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2256,c_1766]) ).
tff(c_2319,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_1701,c_2313]) ).
tff(c_2043,plain,
! [Z_60] : ( multiply(sk_c8,multiply(sk_c3,Z_60)) = Z_60 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1751]) ).
tff(c_2055,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_133,c_2043]) ).
tff(c_2324,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_2319,c_2055]) ).
tff(c_2334,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2084,c_2324]) ).
tff(c_2331,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_98]) ).
tff(c_2353,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2334,c_2331]) ).
tff(c_2357,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2353,c_4]) ).
tff(c_2339,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2319]) ).
tff(c_2078,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2055,c_2066]) ).
tff(c_2377,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2357,c_2339,c_2334,c_2334,c_2078]) ).
tff(c_2380,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2377,c_2377,c_2353]) ).
tff(c_2382,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2377,c_2334]) ).
tff(c_2329,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_126]) ).
tff(c_2477,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2382,c_2382,c_2329]) ).
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_2484,plain,
! [Z_5] : ( multiply(sk_c2,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_2477,c_6]) ).
tff(c_2494,plain,
! [Z_67] : ( multiply(sk_c2,Z_67) = Z_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2484]) ).
tff(c_2506,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2494,c_115]) ).
tff(c_2518,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2506,c_111]) ).
tff(c_2521,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2380,c_2518]) ).
tff(c_2327,plain,
multiply(sk_c1,sk_c2) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_1658]) ).
tff(c_2474,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2382,c_2327]) ).
tff(c_2516,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2506,c_2474]) ).
tff(c_2519,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2516]) ).
tff(c_2535,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2521,c_2519]) ).
tff(c_2537,plain,
multiply(sk_c3,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_2594,plain,
! [X_68,Y_69,Z_70] : ( multiply(multiply(X_68,Y_69),Z_70) = multiply(X_68,multiply(Y_69,Z_70)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2633,plain,
! [Z_70] : ( multiply(sk_c7,multiply(sk_c8,Z_70)) = multiply(identity,Z_70) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_2594]) ).
tff(c_2690,plain,
! [Z_73] : ( multiply(sk_c7,multiply(sk_c8,Z_73)) = Z_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2633]) ).
tff(c_2714,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_2690]) ).
tff(c_2536,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_2541,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2536,c_4]) ).
tff(c_2711,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_2541,c_2690]) ).
tff(c_2775,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2714,c_2711]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_2574,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_2537,c_60]) ).
tff(c_2776,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2775,c_2574]) ).
tff(c_2780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2537,c_2776]) ).
tff(c_2782,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_2832,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2782,c_42]) ).
tff(c_2846,plain,
! [X_75,Y_76,Z_77] : ( multiply(multiply(X_75,Y_76),Z_77) = multiply(X_75,multiply(Y_76,Z_77)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2885,plain,
! [Z_77] : ( multiply(sk_c7,multiply(sk_c8,Z_77)) = multiply(identity,Z_77) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_2846]) ).
tff(c_3199,plain,
! [Z_83] : ( multiply(sk_c7,multiply(sk_c8,Z_83)) = Z_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2885]) ).
tff(c_3217,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2832,c_3199]) ).
tff(c_3226,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_3199]) ).
tff(c_2781,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_2786,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2781,c_4]) ).
tff(c_3223,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2786,c_3199]) ).
tff(c_3525,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_3226,c_3223]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_2837,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_2782,c_44]) ).
tff(c_3526,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3525,c_2837]) ).
tff(c_2888,plain,
! [Z_77] : ( multiply(sk_c8,multiply(sk_c3,Z_77)) = multiply(identity,Z_77) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_2846]) ).
tff(c_2903,plain,
! [Z_77] : ( multiply(sk_c8,multiply(sk_c3,Z_77)) = Z_77 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2888]) ).
tff(c_3549,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_3526,c_2903]) ).
tff(c_3555,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2832,c_3549]) ).
tff(c_3176,plain,
! [Z_82] : ( multiply(sk_c8,multiply(sk_c3,Z_82)) = Z_82 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2888]) ).
tff(c_3188,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2797,c_3176]) ).
tff(c_3589,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3555,c_3555,c_3188]) ).
tff(c_3599,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3217,c_3589]) ).
tff(c_3598,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3555,c_85]) ).
tff(c_3615,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3599,c_3598]) ).
tff(c_3587,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3555,c_3526]) ).
tff(c_3679,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3599,c_3587]) ).
tff(c_3604,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3599,c_3555]) ).
tff(c_3273,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_3226,c_3223]) ).
tff(c_3274,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3273,c_2837]) ).
tff(c_3286,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_3274,c_2903]) ).
tff(c_3292,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2832,c_3286]) ).
tff(c_3297,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3292,c_3292,c_3188]) ).
tff(c_3307,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3217,c_3297]) ).
tff(c_3304,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3292,c_98]) ).
tff(c_3337,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3307,c_3307,c_3304]) ).
tff(c_3341,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3337,c_4]) ).
tff(c_3312,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3307,c_3292]) ).
tff(c_3211,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_3188,c_3199]) ).
tff(c_3376,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3341,c_3312,c_3307,c_3307,c_3211]) ).
tff(c_2932,plain,
! [Z_79] : ( multiply(sk_c7,multiply(sk_c8,Z_79)) = Z_79 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2885]) ).
tff(c_2950,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2832,c_2932]) ).
tff(c_2959,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_2932]) ).
tff(c_2956,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2786,c_2932]) ).
tff(c_3009,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2959,c_2956]) ).
tff(c_3010,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3009,c_2837]) ).
tff(c_3022,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_3010,c_2903]) ).
tff(c_3028,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2832,c_3022]) ).
tff(c_2909,plain,
! [Z_78] : ( multiply(sk_c8,multiply(sk_c3,Z_78)) = Z_78 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2888]) ).
tff(c_2921,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2797,c_2909]) ).
tff(c_3085,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_3028,c_2921]) ).
tff(c_3095,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2950,c_3085]) ).
tff(c_3034,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_3028,c_2921]) ).
tff(c_3044,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2950,c_3034]) ).
tff(c_3041,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_98]) ).
tff(c_3068,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3044,c_3044,c_3041]) ).
tff(c_3049,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3044,c_3028]) ).
tff(c_2907,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_68]) ).
tff(c_2978,plain,
! [X4_80] :
( ( multiply(inverse(X4_80),sk_c7) != sk_c8 )
| ( multiply(X4_80,inverse(X4_80)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_2907]) ).
tff(c_2991,plain,
( ( sk_c8 != identity )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2978]) ).
tff(c_3030,plain,
multiply(sk_c7,inverse(sk_c7)) != sk_c8,
inference(splitLeft,[status(thm)],[c_2991]) ).
tff(c_3076,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3068,c_3049,c_3044,c_3044,c_3030]) ).
tff(c_3036,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_2832]) ).
tff(c_3077,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3044,c_3044,c_3036]) ).
tff(c_3078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3076,c_3077]) ).
tff(c_3079,plain,
sk_c8 != identity,
inference(splitRight,[status(thm)],[c_2991]) ).
tff(c_3081,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_3079]) ).
tff(c_3129,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3095,c_3081]) ).
tff(c_3092,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_98]) ).
tff(c_3130,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3095,c_3095,c_3092]) ).
tff(c_3118,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3095,c_3028]) ).
tff(c_3080,plain,
multiply(sk_c7,inverse(sk_c7)) = sk_c8,
inference(splitRight,[status(thm)],[c_2991]) ).
tff(c_3146,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3130,c_3118,c_3095,c_3095,c_3080]) ).
tff(c_3091,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3028,c_102]) ).
tff(c_3173,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3146,c_3095,c_3095,c_3091]) ).
tff(c_3174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3129,c_3173]) ).
tff(c_3175,plain,
! [X6_7,X1_9,X3_8] :
( ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_2907]) ).
tff(c_3230,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_3175]) ).
tff(c_3323,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c6 )
| ( multiply(sk_c6,multiply(X3_8,sk_c6)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3312,c_3312,c_3307,c_3312,c_3230]) ).
tff(c_3365,plain,
( ( inverse(sk_c6) != sk_c6 )
| ( multiply(sk_c6,identity) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3341,c_3323]) ).
tff(c_3372,plain,
multiply(sk_c6,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3337,c_3365]) ).
tff(c_3507,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3376,c_2,c_3376,c_3372]) ).
tff(c_3508,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_3175]) ).
tff(c_3524,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_3508]) ).
tff(c_3631,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c6) != sk_c6 )
| ( inverse(X6_7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3604,c_3604,c_3599,c_3524]) ).
tff(c_3683,plain,
inverse(sk_c3) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3679,c_3631]) ).
tff(c_3692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3615,c_3683]) ).
tff(c_3726,plain,
! [X1_90] :
( ( multiply(X1_90,sk_c7) != sk_c8 )
| ( inverse(X1_90) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_3508]) ).
tff(c_3736,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2797,c_3726]) ).
tff(c_3748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_3736]) ).
tff(c_3750,plain,
multiply(sk_c3,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_3800,plain,
! [X_91,Y_92,Z_93] : ( multiply(multiply(X_91,Y_92),Z_93) = multiply(X_91,multiply(Y_92,Z_93)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3836,plain,
! [Z_93] : ( multiply(sk_c7,multiply(sk_c8,Z_93)) = multiply(identity,Z_93) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_3800]) ).
tff(c_3896,plain,
! [Z_96] : ( multiply(sk_c7,multiply(sk_c8,Z_96)) = Z_96 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3836]) ).
tff(c_3920,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_3896]) ).
tff(c_3749,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_3754,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3749,c_4]) ).
tff(c_3914,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_3754,c_3896]) ).
tff(c_3969,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_3920,c_3914]) ).
tff(c_3772,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_3750,c_60]) ).
tff(c_3970,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_3969,c_3772]) ).
tff(c_3974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3750,c_3970]) ).
tff(c_3976,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_4024,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3976,c_32]) ).
tff(c_4047,plain,
! [X_98,Y_99,Z_100] : ( multiply(multiply(X_98,Y_99),Z_100) = multiply(X_98,multiply(Y_99,Z_100)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_4077,plain,
! [Z_100] : ( multiply(sk_c7,multiply(sk_c8,Z_100)) = multiply(identity,Z_100) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_4047]) ).
tff(c_4097,plain,
! [Z_101] : ( multiply(sk_c7,multiply(sk_c8,Z_101)) = Z_101 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4077]) ).
tff(c_4118,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_4097]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_3984,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_3993,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3984,c_3976]) ).
tff(c_3994,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_3999,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3994,c_4]) ).
tff(c_4112,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_3999,c_4097]) ).
tff(c_4429,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_4112]) ).
tff(c_3975,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_3980,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3975,c_4]) ).
tff(c_4115,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3980,c_4097]) ).
tff(c_4395,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_4112,c_4115]) ).
tff(c_34,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_4030,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_3976,c_34]) ).
tff(c_4396,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4395,c_4030]) ).
tff(c_4453,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4429,c_4396]) ).
tff(c_4080,plain,
! [Z_100] : ( multiply(sk_c8,multiply(sk_c3,Z_100)) = multiply(identity,Z_100) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_4047]) ).
tff(c_4636,plain,
! [Z_112] : ( multiply(sk_c8,multiply(sk_c3,Z_112)) = Z_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4080]) ).
tff(c_4657,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_4453,c_4636]) ).
tff(c_4661,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4024,c_4657]) ).
tff(c_4670,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_98]) ).
tff(c_4680,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4670,c_4]) ).
tff(c_4109,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_4024,c_4097]) ).
tff(c_5312,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4680,c_4109]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_4018,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_3976,c_30]) ).
tff(c_4062,plain,
! [Z_100] : ( multiply(sk_c5,multiply(sk_c8,Z_100)) = multiply(sk_c6,Z_100) ),
inference(superposition,[status(thm),theory(equality)],[c_4030,c_4047]) ).
tff(c_4406,plain,
! [Z_107] : ( multiply(sk_c4,multiply(sk_c8,Z_107)) = multiply(sk_c6,Z_107) ),
inference(demodulation,[status(thm),theory(equality)],[c_4395,c_4062]) ).
tff(c_4418,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_4024,c_4406]) ).
tff(c_4428,plain,
multiply(sk_c6,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_4018,c_4418]) ).
tff(c_4663,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_4428]) ).
tff(c_5326,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_5312,c_5312,c_4663]) ).
tff(c_5328,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5326]) ).
tff(c_4083,plain,
! [X_2,Z_100] : ( multiply(inverse(X_2),multiply(X_2,Z_100)) = multiply(identity,Z_100) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4047]) ).
tff(c_4095,plain,
! [X_2,Z_100] : ( multiply(inverse(X_2),multiply(X_2,Z_100)) = Z_100 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4083]) ).
tff(c_5237,plain,
! [X_126,Z_127] : ( multiply(inverse(X_126),multiply(X_126,Z_127)) = Z_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4083]) ).
tff(c_5447,plain,
! [X_130,Z_131] : ( multiply(inverse(inverse(X_130)),Z_131) = multiply(X_130,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_4095,c_5237]) ).
tff(c_5270,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5237]) ).
tff(c_5454,plain,
! [X_130] : ( multiply(X_130,identity) = X_130 ),
inference(superposition,[status(thm),theory(equality)],[c_5447,c_5270]) ).
tff(c_4669,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_102]) ).
tff(c_4707,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_4109]) ).
tff(c_4725,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4707,c_4707,c_4663]) ).
tff(c_4727,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4725]) ).
tff(c_4758,plain,
! [X_113,Z_114] : ( multiply(inverse(X_113),multiply(X_113,Z_114)) = Z_114 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4083]) ).
tff(c_4845,plain,
! [X_116,Z_117] : ( multiply(inverse(inverse(X_116)),Z_117) = multiply(X_116,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_4095,c_4758]) ).
tff(c_4779,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4758]) ).
tff(c_4852,plain,
! [X_116] : ( multiply(X_116,identity) = X_116 ),
inference(superposition,[status(thm),theory(equality)],[c_4845,c_4779]) ).
tff(c_4476,plain,
! [Z_108] : ( multiply(sk_c8,multiply(sk_c3,Z_108)) = Z_108 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4080]) ).
tff(c_4494,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_4453,c_4476]) ).
tff(c_4498,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4024,c_4494]) ).
tff(c_4506,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4498,c_98]) ).
tff(c_4505,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4498,c_102]) ).
tff(c_4150,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_4112]) ).
tff(c_4140,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_4112,c_4115]) ).
tff(c_4141,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4140,c_4030]) ).
tff(c_4199,plain,
multiply(sk_c3,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4150,c_4141]) ).
tff(c_4215,plain,
! [Z_103] : ( multiply(sk_c8,multiply(sk_c3,Z_103)) = Z_103 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4080]) ).
tff(c_4233,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_4199,c_4215]) ).
tff(c_4240,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4024,c_4233]) ).
tff(c_4247,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4240,c_102]) ).
tff(c_4280,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4247,c_4109]) ).
tff(c_4243,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4240,c_4199]) ).
tff(c_4302,plain,
multiply(sk_c3,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4280,c_4243]) ).
tff(c_4160,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_4150,c_4018]) ).
tff(c_4242,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4240,c_4160]) ).
tff(c_4311,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4302,c_4242]) ).
tff(c_4248,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4240,c_98]) ).
tff(c_4138,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_68]) ).
tff(c_4139,plain,
! [X4_11] :
( ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_4138]) ).
tff(c_4255,plain,
! [X4_11] :
( ( multiply(inverse(X4_11),sk_c7) != sk_c7 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4240,c_4240,c_4139]) ).
tff(c_4262,plain,
( ( multiply(sk_c7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4248,c_4255]) ).
tff(c_4268,plain,
( ( sk_c7 != sk_c6 )
| ( sk_c7 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4109,c_4248,c_4109,c_4262]) ).
tff(c_4393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4311,c_4280,c_4311,c_4280,c_4268]) ).
tff(c_4394,plain,
! [X6_7,X1_9,X3_8] :
( ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_4138]) ).
tff(c_4468,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_4394]) ).
tff(c_4579,plain,
! [X3_110] :
( ( inverse(X3_110) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_110,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4498,c_4498,c_4498,c_4468]) ).
tff(c_4582,plain,
( ( inverse(sk_c7) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4505,c_4579]) ).
tff(c_4596,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_4506,c_4582]) ).
tff(c_4549,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4109]) ).
tff(c_4504,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4498,c_4024]) ).
tff(c_4600,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_4549,c_4504]) ).
tff(c_4601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4596,c_4600]) ).
tff(c_4602,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_4394]) ).
tff(c_4691,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_4661,c_4661,c_4661,c_4602]) ).
tff(c_4692,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_4691]) ).
tff(c_5233,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4727,c_4852,c_4727,c_4727,c_4692]) ).
tff(c_4668,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_4024]) ).
tff(c_4724,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4707,c_4668]) ).
tff(c_4726,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_4724]) ).
tff(c_4742,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4727,c_4726]) ).
tff(c_4735,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4726,c_4726,c_4670]) ).
tff(c_4799,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4742,c_4742,c_4735]) ).
tff(c_5235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5233,c_4799]) ).
tff(c_5236,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_4691]) ).
tff(c_5832,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_5328,c_5454,c_5328,c_5328,c_5236]) ).
tff(c_5264,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_4109,c_5237]) ).
tff(c_5278,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4670,c_5264]) ).
tff(c_5325,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_5312,c_5278]) ).
tff(c_5327,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_5325]) ).
tff(c_5343,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5328,c_5327]) ).
tff(c_4672,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_85]) ).
tff(c_5335,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_5327,c_4672]) ).
tff(c_5392,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5343,c_5343,c_5335]) ).
tff(c_5834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5832,c_5392]) ).
tff(c_5836,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_5892,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_5836,c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_5878,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_5836,c_14]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_5849,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_5836,c_16]) ).
tff(c_5853,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5849,c_4]) ).
tff(c_5909,plain,
! [X_140,Y_141,Z_142] : ( multiply(multiply(X_140,Y_141),Z_142) = multiply(X_140,multiply(Y_141,Z_142)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_5936,plain,
! [Z_142] : ( multiply(sk_c8,multiply(sk_c5,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_5853,c_5909]) ).
tff(c_5985,plain,
! [Z_145] : ( multiply(sk_c8,multiply(sk_c5,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5936]) ).
tff(c_5997,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_5878,c_5985]) ).
tff(c_6001,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_5892,c_5997]) ).
tff(c_6004,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6001,c_5892]) ).
tff(c_5945,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = multiply(identity,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5909]) ).
tff(c_5957,plain,
! [X_2,Z_142] : ( multiply(inverse(X_2),multiply(X_2,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5945]) ).
tff(c_6089,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_6004,c_5957]) ).
tff(c_6095,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6089]) ).
tff(c_6006,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6001,c_5878]) ).
tff(c_6136,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6095,c_6006]) ).
tff(c_5835,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_6011,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6001,c_5835]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_5887,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_5836,c_10]) ).
tff(c_6005,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6001,c_5887]) ).
tff(c_6152,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_6005,c_5957]) ).
tff(c_6158,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6011,c_6152]) ).
tff(c_5930,plain,
! [Z_142] : ( multiply(sk_c5,multiply(sk_c8,Z_142)) = multiply(sk_c6,Z_142) ),
inference(superposition,[status(thm),theory(equality)],[c_5878,c_5909]) ).
tff(c_6172,plain,
! [Z_142] : ( multiply(sk_c5,multiply(sk_c7,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6095,c_6001,c_5930]) ).
tff(c_6207,plain,
multiply(sk_c5,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_6158,c_6172]) ).
tff(c_6216,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6136,c_6207]) ).
tff(c_6010,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6001,c_5836]) ).
tff(c_6228,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_6216,c_6216,c_6010]) ).
tff(c_6035,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6011,c_4]) ).
tff(c_6239,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6216,c_6035]) ).
tff(c_6227,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6216,c_6011]) ).
tff(c_6270,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6239,c_6227]) ).
tff(c_6271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6228,c_6270]) ).
tff(c_6273,plain,
inverse(sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_52,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_6345,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_6273,c_52]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_6337,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_6273,c_54]) ).
tff(c_6272,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_6277,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6272,c_4]) ).
tff(c_6359,plain,
! [X_149,Y_150,Z_151] : ( multiply(multiply(X_149,Y_150),Z_151) = multiply(X_149,multiply(Y_150,Z_151)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_6392,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c5,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_6277,c_6359]) ).
tff(c_6554,plain,
! [Z_155] : ( multiply(sk_c8,multiply(sk_c5,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6392]) ).
tff(c_6566,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_6337,c_6554]) ).
tff(c_6570,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6345,c_6566]) ).
tff(c_6314,plain,
inverse(sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_6318,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6314,c_4]) ).
tff(c_6676,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6318]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_6281,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_6273,c_48]) ).
tff(c_6680,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6281]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_6331,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_6273,c_50]) ).
tff(c_6675,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6331]) ).
tff(c_6395,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6359]) ).
tff(c_7620,plain,
! [X_174,Z_175] : ( multiply(inverse(X_174),multiply(X_174,Z_175)) = Z_175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6395]) ).
tff(c_7644,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_6675,c_7620]) ).
tff(c_7680,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6680,c_7644]) ).
tff(c_7696,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6676,c_7680]) ).
tff(c_6407,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6395]) ).
tff(c_7928,plain,
! [X_179,Z_180] : ( multiply(inverse(inverse(X_179)),Z_180) = multiply(X_179,Z_180) ),
inference(superposition,[status(thm),theory(equality)],[c_7620,c_6407]) ).
tff(c_7671,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_7620]) ).
tff(c_7938,plain,
! [X_179] : ( multiply(X_179,identity) = X_179 ),
inference(superposition,[status(thm),theory(equality)],[c_7928,c_7671]) ).
tff(c_6285,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6281,c_4]) ).
tff(c_6389,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c4,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_6285,c_6359]) ).
tff(c_6405,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c4,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6389]) ).
tff(c_6759,plain,
! [Z_157] : ( multiply(sk_c7,multiply(sk_c4,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6405]) ).
tff(c_6771,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_6675,c_6759]) ).
tff(c_6775,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6676,c_6771]) ).
tff(c_6797,plain,
! [X_158,Z_159] : ( multiply(inverse(X_158),multiply(X_158,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6395]) ).
tff(c_7043,plain,
! [X_163,Z_164] : ( multiply(inverse(inverse(X_163)),Z_164) = multiply(X_163,Z_164) ),
inference(superposition,[status(thm),theory(equality)],[c_6797,c_6407]) ).
tff(c_6824,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6797]) ).
tff(c_7053,plain,
! [X_163] : ( multiply(X_163,identity) = X_163 ),
inference(superposition,[status(thm),theory(equality)],[c_7043,c_6824]) ).
tff(c_6573,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6345]) ).
tff(c_6582,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6272]) ).
tff(c_6574,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6337]) ).
tff(c_6412,plain,
! [Z_152] : ( multiply(sk_c8,multiply(sk_c5,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6392]) ).
tff(c_6424,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_6337,c_6412]) ).
tff(c_6428,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6345,c_6424]) ).
tff(c_6433,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6428,c_6318]) ).
tff(c_6432,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6428,c_6331]) ).
tff(c_6437,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6428,c_6281]) ).
tff(c_6410,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6314,c_68]) ).
tff(c_6411,plain,
! [X4_11] :
( ( multiply(inverse(X4_11),sk_c7) != sk_c8 )
| ( multiply(X4_11,inverse(X4_11)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_6410]) ).
tff(c_6489,plain,
! [X4_153] :
( ( multiply(inverse(X4_153),sk_c7) != sk_c7 )
| ( multiply(X4_153,inverse(X4_153)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6428,c_6428,c_6411]) ).
tff(c_6495,plain,
( ( multiply(sk_c7,sk_c7) != sk_c7 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_6437,c_6489]) ).
tff(c_6504,plain,
multiply(sk_c7,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6432,c_6437,c_6495]) ).
tff(c_6532,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_6433,c_6504]) ).
tff(c_6534,plain,
! [Z_154] : ( multiply(sk_c7,multiply(sk_c4,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_6428,c_6405]) ).
tff(c_6546,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_6432,c_6534]) ).
tff(c_6550,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6433,c_6546]) ).
tff(c_6552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6532,c_6550]) ).
tff(c_6553,plain,
! [X6_7,X1_9,X3_8] :
( ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_6410]) ).
tff(c_6571,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_6553]) ).
tff(c_6638,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6570,c_6570,c_6571]) ).
tff(c_6662,plain,
( ( inverse(sk_c5) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_6574,c_6638]) ).
tff(c_6670,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6573,c_6582,c_6662]) ).
tff(c_6671,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_6553]) ).
tff(c_6731,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6570,c_6570,c_6570,c_6671]) ).
tff(c_6732,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_6731]) ).
tff(c_7601,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_6775,c_7053,c_6775,c_6775,c_6732]) ).
tff(c_6677,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_6570,c_6314]) ).
tff(c_6782,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6775,c_6775,c_6677]) ).
tff(c_7603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7601,c_6782]) ).
tff(c_7604,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_6731]) ).
tff(c_8486,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_7696,c_7938,c_7696,c_7696,c_7604]) ).
tff(c_7702,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_7696,c_7696,c_6677]) ).
tff(c_8488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8486,c_7702]) ).
tff(c_8489,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8490,plain,
inverse(sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8502,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_8490,c_14]) ).
tff(c_8527,plain,
! [X_190,Y_191,Z_192] : ( multiply(multiply(X_190,Y_191),Z_192) = multiply(X_190,multiply(Y_191,Z_192)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8557,plain,
! [Z_192] : ( multiply(sk_c8,multiply(sk_c5,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_6277,c_8527]) ).
tff(c_8596,plain,
! [Z_194] : ( multiply(sk_c8,multiply(sk_c5,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8557]) ).
tff(c_8608,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_8502,c_8596]) ).
tff(c_8612,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8489,c_8608]) ).
tff(c_8496,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_8490,c_10]) ).
tff(c_8554,plain,
! [Z_192] : ( multiply(sk_c8,multiply(sk_c4,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_6285,c_8527]) ).
tff(c_8573,plain,
! [Z_193] : ( multiply(sk_c8,multiply(sk_c4,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8554]) ).
tff(c_8585,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8496,c_8573]) ).
tff(c_8614,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8612,c_8612,c_8585]) ).
tff(c_8560,plain,
! [X_2,Z_192] : ( multiply(inverse(X_2),multiply(X_2,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8527]) ).
tff(c_8571,plain,
! [X_2,Z_192] : ( multiply(inverse(X_2),multiply(X_2,Z_192)) = Z_192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8560]) ).
tff(c_8748,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8614,c_8571]) ).
tff(c_8754,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8748]) ).
tff(c_8619,plain,
inverse(sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8612,c_8490]) ).
tff(c_8763,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8754,c_8754,c_8619]) ).
tff(c_8622,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8612,c_6281]) ).
tff(c_8632,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8622,c_4]) ).
tff(c_8803,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8754,c_8632]) ).
tff(c_8762,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8754,c_8622]) ).
tff(c_8804,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8803,c_8762]) ).
tff(c_8806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8763,c_8804]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:52:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.85/2.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.54/2.82
% 7.54/2.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.54/2.93
% 7.54/2.93 Inference rules
% 7.54/2.93 ----------------------
% 7.54/2.93 #Ref : 0
% 7.54/2.93 #Sup : 2296
% 7.54/2.93 #Fact : 0
% 7.54/2.93 #Define : 0
% 7.54/2.93 #Split : 33
% 7.54/2.93 #Chain : 0
% 7.54/2.93 #Close : 0
% 7.54/2.93
% 7.54/2.93 Ordering : KBO
% 7.54/2.93
% 7.54/2.93 Simplification rules
% 7.54/2.93 ----------------------
% 7.54/2.93 #Subsume : 8
% 7.54/2.93 #Demod : 2973
% 7.54/2.93 #Tautology : 2010
% 7.54/2.93 #SimpNegUnit : 52
% 7.54/2.93 #BackRed : 483
% 7.54/2.93
% 7.54/2.93 #Partial instantiations: 0
% 7.54/2.93 #Strategies tried : 1
% 7.54/2.93
% 7.54/2.93 Timing (in seconds)
% 7.54/2.93 ----------------------
% 7.54/2.93 Preprocessing : 0.52
% 7.54/2.93 Parsing : 0.21
% 7.54/2.93 CNF conversion : 0.03
% 7.54/2.93 Main loop : 1.11
% 7.54/2.93 Inferencing : 0.38
% 7.54/2.93 Reduction : 0.41
% 7.54/2.93 Demodulation : 0.31
% 7.54/2.93 BG Simplification : 0.05
% 7.54/2.93 Subsumption : 0.16
% 7.54/2.93 Abstraction : 0.05
% 7.54/2.94 MUC search : 0.00
% 7.54/2.94 Cooper : 0.00
% 7.54/2.94 Total : 1.89
% 7.54/2.94 Index Insertion : 0.00
% 7.54/2.94 Index Deletion : 0.00
% 7.54/2.94 Index Matching : 0.00
% 7.54/2.94 BG Taut test : 0.00
%------------------------------------------------------------------------------