TSTP Solution File: GRP226-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP226-1 : 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 : n003.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 10:40:33 EDT 2023
% Result : Unsatisfiable 12.64s 4.15s
% Output : CNFRefutation 13.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 32
% Syntax : Number of formulae : 512 ( 421 unt; 10 typ; 0 def)
% Number of atoms : 654 ( 624 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 357 ( 205 ~; 152 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 279 (; 279 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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(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_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_77,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X5,X3,X1,X2,X4] :
( ( inverse(X3) != sk_c7 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( multiply(sk_c7,X4) != sk_c6 )
| ( multiply(X5,sk_c7) != X4 )
| ( inverse(X5) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
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_29690,plain,
! [X_457,Y_458,Z_459] : ( multiply(multiply(X_457,Y_458),Z_459) = multiply(X_457,multiply(Y_458,Z_459)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29717,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29690]) ).
tff(c_29727,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29717]) ).
tff(c_29841,plain,
! [X_465,Z_466] : ( multiply(inverse(X_465),multiply(X_465,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29717]) ).
tff(c_30624,plain,
! [X_480,Z_481] : ( multiply(inverse(inverse(X_480)),Z_481) = multiply(X_480,Z_481) ),
inference(superposition,[status(thm),theory(equality)],[c_29727,c_29841]) ).
tff(c_29892,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29841]) ).
tff(c_30635,plain,
! [X_480] : ( multiply(X_480,identity) = X_480 ),
inference(superposition,[status(thm),theory(equality)],[c_30624,c_29892]) ).
tff(c_30195,plain,
! [X_470,Z_471] : ( multiply(inverse(inverse(X_470)),Z_471) = multiply(X_470,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_29841,c_29727]) ).
tff(c_30202,plain,
! [X_470] : ( multiply(X_470,identity) = X_470 ),
inference(superposition,[status(thm),theory(equality)],[c_30195,c_29892]) ).
tff(c_14963,plain,
! [X_265,Y_266,Z_267] : ( multiply(multiply(X_265,Y_266),Z_267) = multiply(X_265,multiply(Y_266,Z_267)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14993,plain,
! [X_2,Z_267] : ( multiply(inverse(X_2),multiply(X_2,Z_267)) = multiply(identity,Z_267) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14963]) ).
tff(c_15004,plain,
! [X_2,Z_267] : ( multiply(inverse(X_2),multiply(X_2,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14993]) ).
tff(c_15126,plain,
! [X_274,Z_275] : ( multiply(inverse(X_274),multiply(X_274,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14993]) ).
tff(c_16018,plain,
! [X_291,Z_292] : ( multiply(inverse(inverse(X_291)),Z_292) = multiply(X_291,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_15004,c_15126]) ).
tff(c_15186,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15126]) ).
tff(c_16025,plain,
! [X_291] : ( multiply(X_291,identity) = X_291 ),
inference(superposition,[status(thm),theory(equality)],[c_16018,c_15186]) ).
tff(c_16,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_92,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_77,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_81,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_77,c_4]) ).
tff(c_10616,plain,
! [X_161,Y_162,Z_163] : ( multiply(multiply(X_161,Y_162),Z_163) = multiply(X_161,multiply(Y_162,Z_163)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10646,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c1,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_10616]) ).
tff(c_10666,plain,
! [Z_164] : ( multiply(sk_c7,multiply(sk_c1,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10646]) ).
tff(c_10678,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_92,c_10666]) ).
tff(c_119,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_149,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_119]) ).
tff(c_159,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149]) ).
tff(c_846,plain,
! [X_30,Z_31] : ( multiply(inverse(X_30),multiply(X_30,Z_31)) = Z_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149]) ).
tff(c_1088,plain,
! [X_34,Z_35] : ( multiply(inverse(inverse(X_34)),Z_35) = multiply(X_34,Z_35) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_846]) ).
tff(c_882,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_846]) ).
tff(c_1095,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_1088,c_882]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_97,plain,
multiply(sk_c7,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_32,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_103,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_65,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_69,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_146,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_119]) ).
tff(c_184,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146]) ).
tff(c_196,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_103,c_184]) ).
tff(c_200,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_196]) ).
tff(c_143,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_119]) ).
tff(c_161,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_143]) ).
tff(c_173,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_92,c_161]) ).
tff(c_202,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_200,c_200,c_173]) ).
tff(c_923,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_202,c_159]) ).
tff(c_929,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_923]) ).
tff(c_277,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149]) ).
tff(c_295,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_202,c_277]) ).
tff(c_329,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_295]) ).
tff(c_554,plain,
! [X_23,Z_24] : ( multiply(inverse(inverse(X_23)),Z_24) = multiply(X_23,Z_24) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_277]) ).
tff(c_322,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_277]) ).
tff(c_561,plain,
! [X_23] : ( multiply(X_23,identity) = X_23 ),
inference(superposition,[status(thm),theory(equality)],[c_554,c_322]) ).
tff(c_48,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_222,plain,
! [X2_9,X1_8,X5_6,X3_7] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_200,c_200,c_200,c_200,c_200,c_200,c_200,c_48]) ).
tff(c_223,plain,
! [X3_7] :
( ( multiply(X3_7,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_222]) ).
tff(c_813,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_561,c_329,c_329,c_223]) ).
tff(c_207,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_200,c_81]) ).
tff(c_341,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_207]) ).
tff(c_434,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_341,c_2]) ).
tff(c_208,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_200,c_77]) ).
tff(c_343,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_208]) ).
tff(c_463,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_434,c_343]) ).
tff(c_815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_813,c_463]) ).
tff(c_816,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_8954,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1095,c_929,c_929,c_929,c_929,c_1095,c_929,c_929,c_1095,c_929,c_929,c_2,c_929,c_929,c_816]) ).
tff(c_8956,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8954]) ).
tff(c_820,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_208,c_4]) ).
tff(c_999,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_929,c_820]) ).
tff(c_935,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_929,c_208]) ).
tff(c_1001,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_999,c_935]) ).
tff(c_8958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8956,c_1001]) ).
tff(c_8959,plain,
! [X1_8,X5_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_8954]) ).
tff(c_8961,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8959]) ).
tff(c_8963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8961,c_1001]) ).
tff(c_9362,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8959]) ).
tff(c_9364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9362,c_1001]) ).
tff(c_9366,plain,
multiply(sk_c2,sk_c7) != sk_c3,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_9382,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9366,c_38]) ).
tff(c_9408,plain,
! [X_126,Y_127,Z_128] : ( multiply(multiply(X_126,Y_127),Z_128) = multiply(X_126,multiply(Y_127,Z_128)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9441,plain,
! [Z_128] : ( multiply(sk_c7,multiply(sk_c1,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_9408]) ).
tff(c_9461,plain,
! [Z_129] : ( multiply(sk_c7,multiply(sk_c1,Z_129)) = Z_129 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9441]) ).
tff(c_9473,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_92,c_9461]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_9397,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9366,c_36]) ).
tff(c_9386,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9382,c_4]) ).
tff(c_9429,plain,
! [Z_128] : ( multiply(sk_c6,multiply(sk_c5,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_9386,c_9408]) ).
tff(c_9763,plain,
! [Z_141] : ( multiply(sk_c6,multiply(sk_c5,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9429]) ).
tff(c_9775,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9397,c_9763]) ).
tff(c_10027,plain,
! [Z_146] : ( multiply(sk_c1,multiply(sk_c6,Z_146)) = multiply(sk_c7,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_92,c_9408]) ).
tff(c_10042,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_9775,c_10027]) ).
tff(c_10052,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_9473,c_10042]) ).
tff(c_10060,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10052,c_9397]) ).
tff(c_9447,plain,
! [X_2,Z_128] : ( multiply(inverse(X_2),multiply(X_2,Z_128)) = multiply(identity,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9408]) ).
tff(c_9787,plain,
! [X_142,Z_143] : ( multiply(inverse(X_142),multiply(X_142,Z_143)) = Z_143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9447]) ).
tff(c_9805,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9775,c_9787]) ).
tff(c_9869,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9805]) ).
tff(c_9365,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_9886,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9869,c_9365]) ).
tff(c_9880,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9869,c_9869,c_9473]) ).
tff(c_9893,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9880]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_9403,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9366,c_34]) ).
tff(c_9882,plain,
multiply(sk_c4,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9869,c_9403]) ).
tff(c_10009,plain,
multiply(sk_c4,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9893,c_9882]) ).
tff(c_9596,plain,
! [Z_136] : ( multiply(sk_c6,multiply(sk_c5,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9429]) ).
tff(c_9608,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9397,c_9596]) ).
tff(c_9438,plain,
! [Z_128] : ( multiply(sk_c1,multiply(sk_c6,Z_128)) = multiply(sk_c7,Z_128) ),
inference(superposition,[status(thm),theory(equality)],[c_92,c_9408]) ).
tff(c_9637,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_9608,c_9438]) ).
tff(c_9643,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_9473,c_9637]) ).
tff(c_9659,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9643,c_77]) ).
tff(c_9657,plain,
multiply(sk_c1,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9643,c_92]) ).
tff(c_9538,plain,
! [X3_133] :
( ( multiply(X3_133,sk_c6) != sk_c7 )
| ( inverse(X3_133) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_9545,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9403,c_9538]) ).
tff(c_9563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9365,c_9545]) ).
tff(c_9564,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_9565,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_9564]) ).
tff(c_9687,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9643,c_9565]) ).
tff(c_9722,plain,
inverse(sk_c1) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9657,c_9687]) ).
tff(c_9731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9659,c_9722]) ).
tff(c_9732,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_9564]) ).
tff(c_9786,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_9732]) ).
tff(c_9987,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9893,c_9869,c_2,c_9869,c_9869,c_9786]) ).
tff(c_10013,plain,
inverse(sk_c4) != identity,
inference(superposition,[status(thm),theory(equality)],[c_10009,c_9987]) ).
tff(c_10025,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9886,c_10013]) ).
tff(c_10026,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_9732]) ).
tff(c_10102,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10052,c_10052,c_10026]) ).
tff(c_10148,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10060,c_10102]) ).
tff(c_10160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9382,c_10148]) ).
tff(c_10162,plain,
multiply(sk_c7,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_10606,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10162,c_28]) ).
tff(c_10161,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_10166,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10161,c_4]) ).
tff(c_10640,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c5,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_10166,c_10616]) ).
tff(c_10772,plain,
! [Z_169] : ( multiply(sk_c6,multiply(sk_c5,Z_169)) = Z_169 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10640]) ).
tff(c_10784,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10606,c_10772]) ).
tff(c_10643,plain,
! [Z_163] : ( multiply(sk_c1,multiply(sk_c6,Z_163)) = multiply(sk_c7,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_92,c_10616]) ).
tff(c_10865,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_10784,c_10643]) ).
tff(c_10871,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_92,c_10678,c_10865]) ).
tff(c_10876,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10871,c_10871,c_10678]) ).
tff(c_10652,plain,
! [X_2,Z_163] : ( multiply(inverse(X_2),multiply(X_2,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10616]) ).
tff(c_12268,plain,
! [X_199,Z_200] : ( multiply(inverse(X_199),multiply(X_199,Z_200)) = Z_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10652]) ).
tff(c_12298,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10876,c_12268]) ).
tff(c_12331,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12298]) ).
tff(c_10664,plain,
! [X_2,Z_163] : ( multiply(inverse(X_2),multiply(X_2,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10652]) ).
tff(c_12523,plain,
! [X_202,Z_203] : ( multiply(inverse(inverse(X_202)),Z_203) = multiply(X_202,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_12268,c_10664]) ).
tff(c_12322,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12268]) ).
tff(c_12530,plain,
! [X_202] : ( multiply(X_202,identity) = X_202 ),
inference(superposition,[status(thm),theory(equality)],[c_12523,c_12322]) ).
tff(c_10955,plain,
! [X_173,Z_174] : ( multiply(inverse(X_173),multiply(X_173,Z_174)) = Z_174 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10652]) ).
tff(c_11215,plain,
! [X_177,Z_178] : ( multiply(inverse(inverse(X_177)),Z_178) = multiply(X_177,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_10955,c_10664]) ).
tff(c_11009,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10955]) ).
tff(c_11222,plain,
! [X_177] : ( multiply(X_177,identity) = X_177 ),
inference(superposition,[status(thm),theory(equality)],[c_11215,c_11009]) ).
tff(c_10985,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10876,c_10955]) ).
tff(c_11018,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10985]) ).
tff(c_10201,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10162,c_28]) ).
tff(c_10210,plain,
! [X_148,Y_149,Z_150] : ( multiply(multiply(X_148,Y_149),Z_150) = multiply(X_148,multiply(Y_149,Z_150)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10237,plain,
! [Z_150] : ( multiply(sk_c6,multiply(sk_c5,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_10166,c_10210]) ).
tff(c_10390,plain,
! [Z_157] : ( multiply(sk_c6,multiply(sk_c5,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10237]) ).
tff(c_10402,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10201,c_10390]) ).
tff(c_10249,plain,
! [X_2,Z_150] : ( multiply(inverse(X_2),multiply(X_2,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10210]) ).
tff(c_10413,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_10249]) ).
tff(c_10431,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10402,c_10413]) ).
tff(c_10498,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10431]) ).
tff(c_10243,plain,
! [Z_150] : ( multiply(sk_c7,multiply(sk_c1,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_10210]) ).
tff(c_10263,plain,
! [Z_151] : ( multiply(sk_c7,multiply(sk_c1,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10243]) ).
tff(c_10275,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_92,c_10263]) ).
tff(c_10519,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10498,c_10498,c_10275]) ).
tff(c_10530,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10519]) ).
tff(c_10175,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_10246,plain,
! [Z_150] : ( multiply(sk_c7,multiply(sk_c2,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_10210]) ).
tff(c_10286,plain,
! [Z_152] : ( multiply(sk_c7,multiply(sk_c2,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10246]) ).
tff(c_10298,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10175,c_10286]) ).
tff(c_10302,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10298,c_10162]) ).
tff(c_10517,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10498,c_10302]) ).
tff(c_10579,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10530,c_10517]) ).
tff(c_10580,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_10600,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10162,c_26]) ).
tff(c_10743,plain,
! [X3_168] :
( ( multiply(X3_168,sk_c6) != sk_c7 )
| ( inverse(X3_168) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_10753,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10600,c_10743]) ).
tff(c_10770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10580,c_10753]) ).
tff(c_10771,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_10813,plain,
! [X2_171] :
( ( inverse(X2_171) != sk_c6 )
| ( multiply(X2_171,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10771]) ).
tff(c_10820,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10606,c_10813]) ).
tff(c_10838,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10161,c_10820]) ).
tff(c_10839,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_10771]) ).
tff(c_10914,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10871,c_10871,c_10871,c_10871,c_10871,c_10839]) ).
tff(c_10915,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_10914]) ).
tff(c_12225,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11222,c_11018,c_11018,c_2,c_11018,c_11018,c_10915]) ).
tff(c_10882,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10871,c_10580]) ).
tff(c_10896,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10882,c_4]) ).
tff(c_11044,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11018,c_10896]) ).
tff(c_11029,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11018,c_10882]) ).
tff(c_11069,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11044,c_11029]) ).
tff(c_12227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12225,c_11069]) ).
tff(c_12228,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_10914]) ).
tff(c_12911,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12331,c_12530,c_12331,c_12331,c_12228]) ).
tff(c_12365,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12331,c_10896]) ).
tff(c_12341,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12331,c_10882]) ).
tff(c_12390,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12365,c_12341]) ).
tff(c_12913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12911,c_12390]) ).
tff(c_12915,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_18,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_14398,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12915,c_18]) ).
tff(c_12914,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_12919,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12914,c_4]) ).
tff(c_14411,plain,
! [X_249,Y_250,Z_251] : ( multiply(multiply(X_249,Y_250),Z_251) = multiply(X_249,multiply(Y_250,Z_251)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14435,plain,
! [Z_251] : ( multiply(sk_c7,multiply(sk_c4,Z_251)) = multiply(identity,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_12919,c_14411]) ).
tff(c_14627,plain,
! [Z_261] : ( multiply(sk_c7,multiply(sk_c4,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14435]) ).
tff(c_14642,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14398,c_14627]) ).
tff(c_20,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_14021,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12915,c_20]) ).
tff(c_12927,plain,
multiply(sk_c7,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_12937,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_12968,plain,
! [X_212,Y_213,Z_214] : ( multiply(multiply(X_212,Y_213),Z_214) = multiply(X_212,multiply(Y_213,Z_214)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13004,plain,
! [Z_214] : ( multiply(sk_c7,multiply(sk_c2,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_12968]) ).
tff(c_13034,plain,
! [Z_216] : ( multiply(sk_c7,multiply(sk_c2,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13004]) ).
tff(c_13046,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12937,c_13034]) ).
tff(c_13050,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12927,c_13046]) ).
tff(c_13056,plain,
multiply(sk_c6,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_12927]) ).
tff(c_13007,plain,
! [X_2,Z_214] : ( multiply(inverse(X_2),multiply(X_2,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12968]) ).
tff(c_13106,plain,
! [X_217,Z_218] : ( multiply(inverse(X_217),multiply(X_217,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13007]) ).
tff(c_13127,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13056,c_13106]) ).
tff(c_13155,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13127]) ).
tff(c_13055,plain,
multiply(sk_c2,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_12937]) ).
tff(c_13161,plain,
multiply(sk_c2,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13155,c_13055]) ).
tff(c_13059,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_12914]) ).
tff(c_12954,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12915,c_18]) ).
tff(c_13054,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_12954]) ).
tff(c_13019,plain,
! [X_2,Z_214] : ( multiply(inverse(X_2),multiply(X_2,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13007]) ).
tff(c_13200,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13054,c_13019]) ).
tff(c_13206,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13059,c_13200]) ).
tff(c_12992,plain,
! [Z_214] : ( multiply(sk_c2,multiply(sk_c7,Z_214)) = multiply(sk_c3,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_12937,c_12968]) ).
tff(c_13231,plain,
! [Z_214] : ( multiply(sk_c2,multiply(sk_c6,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13155,c_13050,c_12992]) ).
tff(c_13269,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13206,c_13231]) ).
tff(c_13278,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13161,c_13269]) ).
tff(c_13061,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_77]) ).
tff(c_13080,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13061,c_4]) ).
tff(c_13304,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13278,c_13080]) ).
tff(c_13058,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_12915]) ).
tff(c_13288,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13278,c_13278,c_13058]) ).
tff(c_13422,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13304,c_13288]) ).
tff(c_13424,plain,
multiply(sk_c2,sk_c7) != sk_c3,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_13443,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13424,c_36]) ).
tff(c_13423,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_13428,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13423,c_4]) ).
tff(c_13454,plain,
! [X_221,Y_222,Z_223] : ( multiply(multiply(X_221,Y_222),Z_223) = multiply(X_221,multiply(Y_222,Z_223)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13475,plain,
! [Z_223] : ( multiply(sk_c6,multiply(sk_c5,Z_223)) = multiply(identity,Z_223) ),
inference(superposition,[status(thm),theory(equality)],[c_13428,c_13454]) ).
tff(c_13652,plain,
! [Z_232] : ( multiply(sk_c6,multiply(sk_c5,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13475]) ).
tff(c_13664,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13443,c_13652]) ).
tff(c_13490,plain,
! [X_2,Z_223] : ( multiply(inverse(X_2),multiply(X_2,Z_223)) = multiply(identity,Z_223) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13454]) ).
tff(c_13675,plain,
! [X_233,Z_234] : ( multiply(inverse(X_233),multiply(X_233,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13490]) ).
tff(c_13693,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13664,c_13675]) ).
tff(c_13757,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13693]) ).
tff(c_13779,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13757,c_69]) ).
tff(c_13502,plain,
! [X_2,Z_223] : ( multiply(inverse(X_2),multiply(X_2,Z_223)) = Z_223 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13490]) ).
tff(c_13966,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_13779,c_13502]) ).
tff(c_13978,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13966]) ).
tff(c_13438,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12915,c_18]) ).
tff(c_13481,plain,
! [Z_223] : ( multiply(sk_c7,multiply(sk_c4,Z_223)) = multiply(identity,Z_223) ),
inference(superposition,[status(thm),theory(equality)],[c_12919,c_13454]) ).
tff(c_13616,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c4,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13481]) ).
tff(c_13628,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13438,c_13616]) ).
tff(c_13766,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13757,c_13757,c_13628]) ).
tff(c_13782,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13766]) ).
tff(c_13773,plain,
multiply(identity,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13757,c_12927]) ).
tff(c_13783,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13773]) ).
tff(c_13797,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13782,c_13783]) ).
tff(c_13772,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_13757,c_13424]) ).
tff(c_13930,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13797,c_13772]) ).
tff(c_13982,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13978,c_13930]) ).
tff(c_13987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13982]) ).
tff(c_13988,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_13993,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13988,c_4]) ).
tff(c_14030,plain,
! [X_236,Y_237,Z_238] : ( multiply(multiply(X_236,Y_237),Z_238) = multiply(X_236,multiply(Y_237,Z_238)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14054,plain,
! [Z_238] : ( multiply(sk_c6,multiply(sk_c5,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_13993,c_14030]) ).
tff(c_14183,plain,
! [Z_244] : ( multiply(sk_c6,multiply(sk_c5,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14054]) ).
tff(c_14195,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14021,c_14183]) ).
tff(c_14066,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14030]) ).
tff(c_14229,plain,
! [X_246,Z_247] : ( multiply(inverse(X_246),multiply(X_246,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14066]) ).
tff(c_14253,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14195,c_14229]) ).
tff(c_14311,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14253]) ).
tff(c_14016,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12915,c_18]) ).
tff(c_14057,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c4,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_12919,c_14030]) ).
tff(c_14206,plain,
! [Z_245] : ( multiply(sk_c7,multiply(sk_c4,Z_245)) = Z_245 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14057]) ).
tff(c_14218,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14016,c_14206]) ).
tff(c_14321,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14311,c_14311,c_14218]) ).
tff(c_14338,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14321]) ).
tff(c_14010,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_14063,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c2,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_14030]) ).
tff(c_14093,plain,
! [Z_240] : ( multiply(sk_c7,multiply(sk_c2,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14063]) ).
tff(c_14105,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14010,c_14093]) ).
tff(c_13989,plain,
multiply(sk_c7,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_14109,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14105,c_13989]) ).
tff(c_14324,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14311,c_14109]) ).
tff(c_14391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14338,c_14324]) ).
tff(c_14392,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_14432,plain,
! [Z_251] : ( multiply(sk_c6,multiply(sk_c5,Z_251)) = multiply(identity,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_13993,c_14411]) ).
tff(c_14574,plain,
! [Z_259] : ( multiply(sk_c6,multiply(sk_c5,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14432]) ).
tff(c_14586,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14392,c_14574]) ).
tff(c_14426,plain,
! [Z_251] : ( multiply(sk_c4,multiply(sk_c6,Z_251)) = multiply(sk_c7,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_14398,c_14411]) ).
tff(c_14612,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_14586,c_14426]) ).
tff(c_14618,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14398,c_14612]) ).
tff(c_14646,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14642,c_14618]) ).
tff(c_14656,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14646,c_14586]) ).
tff(c_14444,plain,
! [X_2,Z_251] : ( multiply(inverse(X_2),multiply(X_2,Z_251)) = multiply(identity,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14411]) ).
tff(c_14730,plain,
! [X_262,Z_263] : ( multiply(inverse(X_262),multiply(X_262,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14444]) ).
tff(c_14751,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14656,c_14730]) ).
tff(c_14788,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14751]) ).
tff(c_14668,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14646,c_77]) ).
tff(c_14687,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14668,c_4]) ).
tff(c_14907,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14788,c_14687]) ).
tff(c_14665,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14646,c_12915]) ).
tff(c_14893,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14788,c_14788,c_14665]) ).
tff(c_14908,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14907,c_14893]) ).
tff(c_14912,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14908]) ).
tff(c_14914,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_14940,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14914,c_12]) ).
tff(c_14913,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_14918,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14913,c_4]) ).
tff(c_14987,plain,
! [Z_267] : ( multiply(sk_c6,multiply(sk_c5,Z_267)) = multiply(identity,Z_267) ),
inference(superposition,[status(thm),theory(equality)],[c_14918,c_14963]) ).
tff(c_15103,plain,
! [Z_273] : ( multiply(sk_c6,multiply(sk_c5,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14987]) ).
tff(c_15115,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14940,c_15103]) ).
tff(c_15144,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15115,c_15126]) ).
tff(c_15193,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15144]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_14946,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14914,c_10]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_14926,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14914,c_8]) ).
tff(c_14930,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14926,c_4]) ).
tff(c_14984,plain,
! [Z_267] : ( multiply(sk_c7,multiply(sk_c4,Z_267)) = multiply(identity,Z_267) ),
inference(superposition,[status(thm),theory(equality)],[c_14930,c_14963]) ).
tff(c_15006,plain,
! [Z_268] : ( multiply(sk_c7,multiply(sk_c4,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14984]) ).
tff(c_15018,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14946,c_15006]) ).
tff(c_15201,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15193,c_15193,c_15018]) ).
tff(c_15210,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15201]) ).
tff(c_15408,plain,
! [X_278,Z_279] : ( multiply(inverse(inverse(X_278)),Z_279) = multiply(X_278,Z_279) ),
inference(superposition,[status(thm),theory(equality)],[c_15004,c_15126]) ).
tff(c_15415,plain,
! [X_278] : ( multiply(X_278,identity) = X_278 ),
inference(superposition,[status(thm),theory(equality)],[c_15408,c_15186]) ).
tff(c_15066,plain,
! [X3_271] :
( ( multiply(X3_271,sk_c6) != sk_c7 )
| ( inverse(X3_271) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_15073,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14946,c_15066]) ).
tff(c_15088,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14926,c_15073]) ).
tff(c_15089,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_15215,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c6 )
| ( multiply(X1_8,sk_c6) != identity )
| ( inverse(X1_8) != identity )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15193,c_15193,c_15193,c_15193,c_2,c_15193,c_15193,c_15089]) ).
tff(c_15216,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != identity ) ),
inference(splitLeft,[status(thm)],[c_15215]) ).
tff(c_15789,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15415,c_15210,c_15210,c_15216]) ).
tff(c_15209,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15193,c_65]) ).
tff(c_15230,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15209,c_4]) ).
tff(c_15237,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_15230,c_15004]) ).
tff(c_15249,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15237]) ).
tff(c_15253,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15249,c_15209]) ).
tff(c_15791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15789,c_15253]) ).
tff(c_15792,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != identity )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15215]) ).
tff(c_27296,plain,
! [X1_8,X5_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16025,c_15210,c_16025,c_15210,c_15792]) ).
tff(c_27298,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_27296]) ).
tff(c_15794,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15210,c_14918]) ).
tff(c_15869,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15794,c_15004]) ).
tff(c_15881,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15869]) ).
tff(c_15795,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15210,c_14913]) ).
tff(c_15903,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15881,c_15795]) ).
tff(c_27300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27298,c_15903]) ).
tff(c_27302,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_27296]) ).
tff(c_27304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27302,c_15903]) ).
tff(c_27306,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_27352,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_27306,c_42]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_27314,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_27315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27306,c_27314]) ).
tff(c_27316,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_27321,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27316,c_4]) ).
tff(c_27370,plain,
! [X_405,Y_406,Z_407] : ( multiply(multiply(X_405,Y_406),Z_407) = multiply(X_405,multiply(Y_406,Z_407)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27394,plain,
! [Z_407] : ( multiply(sk_c7,multiply(sk_c4,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_27321,c_27370]) ).
tff(c_27413,plain,
! [Z_408] : ( multiply(sk_c7,multiply(sk_c4,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27394]) ).
tff(c_27425,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27352,c_27413]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_27358,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_27306,c_44]) ).
tff(c_27305,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_27310,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27305,c_4]) ).
tff(c_27397,plain,
! [Z_407] : ( multiply(sk_c6,multiply(sk_c5,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_27310,c_27370]) ).
tff(c_27662,plain,
! [Z_416] : ( multiply(sk_c6,multiply(sk_c5,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27397]) ).
tff(c_27677,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27358,c_27662]) ).
tff(c_27388,plain,
! [Z_407] : ( multiply(sk_c4,multiply(sk_c6,Z_407)) = multiply(sk_c7,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_27352,c_27370]) ).
tff(c_27684,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_27677,c_27388]) ).
tff(c_27690,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27425,c_27352,c_27684]) ).
tff(c_27694,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27690,c_27690,c_27425]) ).
tff(c_27400,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27370]) ).
tff(c_27411,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27400]) ).
tff(c_29108,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27694,c_27411]) ).
tff(c_29114,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29108]) ).
tff(c_29011,plain,
! [X_443,Z_444] : ( multiply(inverse(X_443),multiply(X_443,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27400]) ).
tff(c_29280,plain,
! [X_447,Z_448] : ( multiply(inverse(inverse(X_447)),Z_448) = multiply(X_447,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_27411,c_29011]) ).
tff(c_29041,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29011]) ).
tff(c_29287,plain,
! [X_447] : ( multiply(X_447,identity) = X_447 ),
inference(superposition,[status(thm),theory(equality)],[c_29280,c_29041]) ).
tff(c_27767,plain,
! [X_417,Z_418] : ( multiply(inverse(X_417),multiply(X_417,Z_418)) = Z_418 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27400]) ).
tff(c_27999,plain,
! [X_421,Z_422] : ( multiply(inverse(inverse(X_421)),Z_422) = multiply(X_421,Z_422) ),
inference(superposition,[status(thm),theory(equality)],[c_27411,c_27767]) ).
tff(c_27818,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27767]) ).
tff(c_28006,plain,
! [X_421] : ( multiply(X_421,identity) = X_421 ),
inference(superposition,[status(thm),theory(equality)],[c_27999,c_27818]) ).
tff(c_27794,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27694,c_27767]) ).
tff(c_27828,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27794]) ).
tff(c_27507,plain,
! [Z_412] : ( multiply(sk_c6,multiply(sk_c5,Z_412)) = Z_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27397]) ).
tff(c_27519,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27358,c_27507]) ).
tff(c_27530,plain,
! [Z_413] : ( multiply(sk_c4,multiply(sk_c6,Z_413)) = multiply(sk_c7,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_27352,c_27370]) ).
tff(c_27545,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_27519,c_27530]) ).
tff(c_27555,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27425,c_27352,c_27545]) ).
tff(c_27560,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27555,c_27358]) ).
tff(c_27473,plain,
! [X3_411] :
( ( multiply(X3_411,sk_c6) != sk_c7 )
| ( inverse(X3_411) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_27483,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27352,c_27473]) ).
tff(c_27497,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27316,c_27483]) ).
tff(c_27498,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_27499,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_27498]) ).
tff(c_27592,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27555,c_27499]) ).
tff(c_27614,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27560,c_27592]) ).
tff(c_27626,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27305,c_27614]) ).
tff(c_27627,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_27498]) ).
tff(c_27709,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27690,c_27690,c_27690,c_27690,c_27690,c_27627]) ).
tff(c_27710,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_27709]) ).
tff(c_29007,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28006,c_27828,c_27828,c_2,c_27828,c_27828,c_27710]) ).
tff(c_27337,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_27700,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27690,c_27337]) ).
tff(c_27721,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27700,c_4]) ).
tff(c_27861,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27828,c_27721]) ).
tff(c_27834,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27828,c_27700]) ).
tff(c_27876,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27861,c_27834]) ).
tff(c_29009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29007,c_27876]) ).
tff(c_29010,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_27709]) ).
tff(c_29662,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29114,c_29287,c_29114,c_29114,c_29010]) ).
tff(c_29065,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27700,c_4]) ).
tff(c_29174,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29114,c_29065]) ).
tff(c_29120,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29114,c_27700]) ).
tff(c_29179,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29174,c_29120]) ).
tff(c_29664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29662,c_29179]) ).
tff(c_29666,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_29672,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29666,c_12]) ).
tff(c_29714,plain,
! [Z_459] : ( multiply(sk_c6,multiply(sk_c5,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_27310,c_29690]) ).
tff(c_29818,plain,
! [Z_464] : ( multiply(sk_c6,multiply(sk_c5,Z_464)) = Z_464 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29714]) ).
tff(c_29830,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29672,c_29818]) ).
tff(c_29859,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29830,c_29841]) ).
tff(c_29899,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29859]) ).
tff(c_29665,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_29711,plain,
! [Z_459] : ( multiply(sk_c7,multiply(sk_c4,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_27321,c_29690]) ).
tff(c_29795,plain,
! [Z_463] : ( multiply(sk_c7,multiply(sk_c4,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29711]) ).
tff(c_29807,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29665,c_29795]) ).
tff(c_30048,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29899,c_29899,c_29807]) ).
tff(c_30056,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30048]) ).
tff(c_29906,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29899,c_29899,c_29807]) ).
tff(c_29914,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29906]) ).
tff(c_29920,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29914,c_27310]) ).
tff(c_29985,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29920,c_29727]) ).
tff(c_29997,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29985]) ).
tff(c_29921,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29914,c_27305]) ).
tff(c_30001,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29997,c_29921]) ).
tff(c_29769,plain,
! [X3_462] :
( ( multiply(X3_462,sk_c6) != sk_c7 )
| ( inverse(X3_462) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_29779,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29665,c_29769]) ).
tff(c_29793,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27316,c_29779]) ).
tff(c_29794,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_29904,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_29794]) ).
tff(c_30008,plain,
! [X2_468] :
( ( inverse(X2_468) != identity )
| ( multiply(X2_468,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29914,c_29899,c_29914,c_29904]) ).
tff(c_30027,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_30008]) ).
tff(c_30045,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30001,c_30027]) ).
tff(c_30046,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_29794]) ).
tff(c_30078,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,identity) != identity )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30056,c_29899,c_2,c_29899,c_29899,c_29899,c_30056,c_29899,c_30046]) ).
tff(c_30079,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_30078]) ).
tff(c_30457,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30202,c_30079]) ).
tff(c_30062,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30056,c_27310]) ).
tff(c_30093,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_30062,c_29727]) ).
tff(c_30105,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30093]) ).
tff(c_30063,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30056,c_27305]) ).
tff(c_30109,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30105,c_30063]) ).
tff(c_30459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30457,c_30109]) ).
tff(c_30460,plain,
! [X1_8] :
( ( multiply(X1_8,identity) != identity )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_30078]) ).
tff(c_30904,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30635,c_30460]) ).
tff(c_30492,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_30062,c_29727]) ).
tff(c_30504,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30492]) ).
tff(c_30508,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30504,c_30063]) ).
tff(c_30906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30904,c_30508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP226-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:25:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.64/4.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.64/4.20
% 12.64/4.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.19/4.27
% 13.19/4.27 Inference rules
% 13.19/4.27 ----------------------
% 13.19/4.27 #Ref : 0
% 13.19/4.27 #Sup : 7621
% 13.19/4.27 #Fact : 0
% 13.19/4.27 #Define : 0
% 13.19/4.27 #Split : 38
% 13.19/4.27 #Chain : 0
% 13.19/4.27 #Close : 0
% 13.19/4.27
% 13.19/4.27 Ordering : KBO
% 13.19/4.27
% 13.19/4.27 Simplification rules
% 13.19/4.27 ----------------------
% 13.19/4.27 #Subsume : 5
% 13.19/4.27 #Demod : 16433
% 13.19/4.27 #Tautology : 6184
% 13.19/4.27 #SimpNegUnit : 53
% 13.19/4.27 #BackRed : 447
% 13.19/4.27
% 13.19/4.27 #Partial instantiations: 0
% 13.19/4.27 #Strategies tried : 1
% 13.19/4.27
% 13.19/4.27 Timing (in seconds)
% 13.19/4.27 ----------------------
% 13.19/4.27 Preprocessing : 0.50
% 13.19/4.27 Parsing : 0.21
% 13.19/4.27 CNF conversion : 0.02
% 13.19/4.28 Main loop : 2.61
% 13.19/4.28 Inferencing : 0.82
% 13.19/4.28 Reduction : 1.22
% 13.19/4.28 Demodulation : 1.07
% 13.19/4.28 BG Simplification : 0.08
% 13.19/4.28 Subsumption : 0.29
% 13.19/4.28 Abstraction : 0.15
% 13.19/4.28 MUC search : 0.00
% 13.19/4.28 Cooper : 0.00
% 13.19/4.28 Total : 3.24
% 13.19/4.28 Index Insertion : 0.00
% 13.19/4.28 Index Deletion : 0.00
% 13.19/4.28 Index Matching : 0.00
% 13.19/4.28 BG Taut test : 0.00
%------------------------------------------------------------------------------