TSTP Solution File: GRP230-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP230-1 : 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 : n026.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 14.10s 5.45s
% Output : CNFRefutation 14.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 39
% Syntax : Number of formulae : 441 ( 357 unt; 11 typ; 0 def)
% Number of atoms : 567 ( 548 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 280 ( 143 ~; 137 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 215 (; 215 !; 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_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_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(X3) != sk_c8 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( inverse(X4) != sk_c7 )
| ( multiply(X2,X1) != sk_c8 )
| ( inverse(X2) != X1 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X5) != sk_c7 )
| ( multiply(X6,sk_c8) != X5 )
| ( inverse(X6) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
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_38833,plain,
! [X_476,Y_477,Z_478] : ( multiply(multiply(X_476,Y_477),Z_478) = multiply(X_476,multiply(Y_477,Z_478)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38866,plain,
! [X_2,Z_478] : ( multiply(inverse(X_2),multiply(X_2,Z_478)) = multiply(identity,Z_478) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38833]) ).
tff(c_38876,plain,
! [X_2,Z_478] : ( multiply(inverse(X_2),multiply(X_2,Z_478)) = Z_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38866]) ).
tff(c_40711,plain,
! [X_516,Z_517] : ( multiply(inverse(X_516),multiply(X_516,Z_517)) = Z_517 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38866]) ).
tff(c_40977,plain,
! [X_519,Z_520] : ( multiply(inverse(inverse(X_519)),Z_520) = multiply(X_519,Z_520) ),
inference(superposition,[status(thm),theory(equality)],[c_38876,c_40711]) ).
tff(c_40750,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40711]) ).
tff(c_40984,plain,
! [X_519] : ( multiply(X_519,identity) = X_519 ),
inference(superposition,[status(thm),theory(equality)],[c_40977,c_40750]) ).
tff(c_19304,plain,
! [X_238,Y_239,Z_240] : ( multiply(multiply(X_238,Y_239),Z_240) = multiply(X_238,multiply(Y_239,Z_240)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19340,plain,
! [X_2,Z_240] : ( multiply(inverse(X_2),multiply(X_2,Z_240)) = multiply(identity,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19304]) ).
tff(c_19351,plain,
! [X_2,Z_240] : ( multiply(inverse(X_2),multiply(X_2,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19340]) ).
tff(c_20384,plain,
! [X_261,Z_262] : ( multiply(inverse(X_261),multiply(X_261,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19340]) ).
tff(c_20788,plain,
! [X_267,Z_268] : ( multiply(inverse(inverse(X_267)),Z_268) = multiply(X_267,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_19351,c_20384]) ).
tff(c_20438,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20384]) ).
tff(c_20795,plain,
! [X_267] : ( multiply(X_267,identity) = X_267 ),
inference(superposition,[status(thm),theory(equality)],[c_20788,c_20438]) ).
tff(c_127,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_154,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_127]) ).
tff(c_1694,plain,
! [X_52,Z_53] : ( multiply(inverse(X_52),multiply(X_52,Z_53)) = Z_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_1727,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1694]) ).
tff(c_164,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_154]) ).
tff(c_1913,plain,
! [X_57,Z_58] : ( multiply(inverse(inverse(X_57)),Z_58) = multiply(X_57,Z_58) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_1694]) ).
tff(c_1947,plain,
! [X_2] : ( multiply(X_2,identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_1727,c_1913]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_106,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_77,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_151,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_127]) ).
tff(c_267,plain,
! [Z_21] : ( multiply(sk_c8,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_282,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_106,c_267]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_99,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_148,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_127]) ).
tff(c_166,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_148]) ).
tff(c_178,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_166]) ).
tff(c_237,plain,
! [Z_20] : ( multiply(sk_c1,multiply(sk_c7,Z_20)) = multiply(sk_c8,Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_127]) ).
tff(c_249,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_178,c_237]) ).
tff(c_259,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_106,c_249]) ).
tff(c_286,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_259]) ).
tff(c_294,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_286,c_282]) ).
tff(c_1738,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_294,c_164]) ).
tff(c_1744,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1738]) ).
tff(c_1958,plain,
! [X_57] : ( multiply(X_57,inverse(X_57)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1913]) ).
tff(c_407,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_669,plain,
! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_164]) ).
tff(c_452,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_407]) ).
tff(c_680,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_669,c_452]) ).
tff(c_255,plain,
multiply(sk_c8,sk_c2) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_89,c_237]) ).
tff(c_350,plain,
multiply(sk_c1,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_286,c_255]) ).
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_354,plain,
! [Z_5] : ( multiply(sk_c1,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_350,c_6]) ).
tff(c_357,plain,
! [Z_5] : ( multiply(sk_c1,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_354]) ).
tff(c_163,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_295,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_163]) ).
tff(c_374,plain,
! [Z_16] : ( multiply(sk_c7,Z_16) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_357,c_295]) ).
tff(c_553,plain,
! [Z_27] : ( multiply(inverse(sk_c7),Z_27) = Z_27 ),
inference(superposition,[status(thm),theory(equality)],[c_374,c_407]) ).
tff(c_570,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_553,c_4]) ).
tff(c_56,plain,
! [X6_7,X2_10,X4_11,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( multiply(X3_8,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_213,plain,
! [X3_19] :
( ( multiply(X3_19,sk_c7) != sk_c8 )
| ( inverse(X3_19) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_220,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_106,c_213]) ).
tff(c_235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73,c_220]) ).
tff(c_236,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_313,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_286,c_286,c_286,c_286,c_286,c_236]) ).
tff(c_314,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_313]) ).
tff(c_1690,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_680,c_570,c_570,c_2,c_570,c_570,c_314]) ).
tff(c_376,plain,
! [Z_23] : ( multiply(sk_c7,Z_23) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_357,c_295]) ).
tff(c_403,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_89,c_376]) ).
tff(c_466,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_403,c_85]) ).
tff(c_588,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_570,c_466]) ).
tff(c_1692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1690,c_588]) ).
tff(c_1693,plain,
! [X2_10,X4_11] :
( ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_313]) ).
tff(c_16670,plain,
! [X2_10,X4_11] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1947,c_1744,c_1744,c_1744,c_1958,c_1744,c_1947,c_1744,c_1744,c_1693]) ).
tff(c_16672,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_16670]) ).
tff(c_301,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_73]) ).
tff(c_309,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_301,c_4]) ).
tff(c_1761,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1744,c_309]) ).
tff(c_1747,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1744,c_301]) ).
tff(c_1776,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1761,c_1747]) ).
tff(c_16674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16672,c_1776]) ).
tff(c_16675,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitRight,[status(thm)],[c_16670]) ).
tff(c_16677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16675,c_1776]) ).
tff(c_16679,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_16718,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16679,c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_16724,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16679,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_16698,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16679,c_30]) ).
tff(c_16702,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16698,c_4]) ).
tff(c_16734,plain,
! [X_187,Y_188,Z_189] : ( multiply(multiply(X_187,Y_188),Z_189) = multiply(X_187,multiply(Y_188,Z_189)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16761,plain,
! [Z_189] : ( multiply(sk_c8,multiply(sk_c5,Z_189)) = multiply(identity,Z_189) ),
inference(superposition,[status(thm),theory(equality)],[c_16702,c_16734]) ).
tff(c_16953,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c5,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16761]) ).
tff(c_16965,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16724,c_16953]) ).
tff(c_16969,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16718,c_16965]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_16713,plain,
multiply(sk_c3,sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16679,c_20]) ).
tff(c_16678,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_16683,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16678,c_4]) ).
tff(c_16764,plain,
! [Z_189] : ( multiply(sk_c4,multiply(sk_c3,Z_189)) = multiply(identity,Z_189) ),
inference(superposition,[status(thm),theory(equality)],[c_16683,c_16734]) ).
tff(c_16930,plain,
! [Z_197] : ( multiply(sk_c4,multiply(sk_c3,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16764]) ).
tff(c_16942,plain,
multiply(sk_c4,sk_c8) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_16713,c_16930]) ).
tff(c_16998,plain,
multiply(sk_c4,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_16969,c_16942]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_16729,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16679,c_24]) ).
tff(c_17001,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16969,c_16729]) ).
tff(c_17036,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_16998,c_17001]) ).
tff(c_17037,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_17036,c_16998]) ).
tff(c_16776,plain,
! [X_2,Z_189] : ( multiply(inverse(X_2),multiply(X_2,Z_189)) = multiply(identity,Z_189) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16734]) ).
tff(c_17122,plain,
! [X_201,Z_202] : ( multiply(inverse(X_201),multiply(X_201,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16776]) ).
tff(c_17146,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_17037,c_17122]) ).
tff(c_17181,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17146]) ).
tff(c_17191,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17181,c_17036]) ).
tff(c_17010,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16969,c_73]) ).
tff(c_17025,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17010,c_4]) ).
tff(c_17208,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17191,c_17025]) ).
tff(c_17007,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16969,c_16679]) ).
tff(c_17265,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17208,c_17191,c_17191,c_17007]) ).
tff(c_17267,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_17322,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17267,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_17317,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17267,c_40]) ).
tff(c_17266,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_17271,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17266,c_4]) ).
tff(c_17329,plain,
! [X_203,Y_204,Z_205] : ( multiply(multiply(X_203,Y_204),Z_205) = multiply(X_203,multiply(Y_204,Z_205)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17362,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c5,Z_205)) = multiply(identity,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_17271,c_17329]) ).
tff(c_17701,plain,
! [Z_213] : ( multiply(sk_c8,multiply(sk_c5,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17362]) ).
tff(c_17713,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17317,c_17701]) ).
tff(c_17717,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17322,c_17713]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_17307,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17267,c_36]) ).
tff(c_17724,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17717,c_17307]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_17275,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_17267,c_34]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_17312,plain,
multiply(sk_c3,sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17267,c_32]) ).
tff(c_17723,plain,
multiply(sk_c3,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17717,c_17312]) ).
tff(c_17371,plain,
! [X_2,Z_205] : ( multiply(inverse(X_2),multiply(X_2,Z_205)) = multiply(identity,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17329]) ).
tff(c_17788,plain,
! [X_214,Z_215] : ( multiply(inverse(X_214),multiply(X_214,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17371]) ).
tff(c_17809,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_17723,c_17788]) ).
tff(c_17853,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_17724,c_17275,c_17809]) ).
tff(c_17301,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_17368,plain,
! [Z_205] : ( multiply(sk_c8,multiply(sk_c1,Z_205)) = multiply(identity,Z_205) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_17329]) ).
tff(c_17398,plain,
! [Z_207] : ( multiply(sk_c8,multiply(sk_c1,Z_207)) = Z_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17368]) ).
tff(c_17410,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17301,c_17398]) ).
tff(c_17719,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17717,c_17717,c_17410]) ).
tff(c_17962,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_17853,c_17853,c_17853,c_17719]) ).
tff(c_17383,plain,
! [X_2,Z_205] : ( multiply(inverse(X_2),multiply(X_2,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17371]) ).
tff(c_17969,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_17962,c_17383]) ).
tff(c_17976,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17969]) ).
tff(c_17870,plain,
multiply(sk_c4,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17853,c_89]) ).
tff(c_18052,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17976,c_17870]) ).
tff(c_17727,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17717,c_17267]) ).
tff(c_17862,plain,
multiply(sk_c2,sk_c4) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_17853,c_17853,c_17727]) ).
tff(c_18077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18052,c_17976,c_17976,c_17862]) ).
tff(c_18079,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18084,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18079,c_26]) ).
tff(c_18096,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17267,c_40]) ).
tff(c_18107,plain,
! [X_217,Y_218,Z_219] : ( multiply(multiply(X_217,Y_218),Z_219) = multiply(X_217,multiply(Y_218,Z_219)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18137,plain,
! [Z_219] : ( multiply(sk_c8,multiply(sk_c5,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_17271,c_18107]) ).
tff(c_18742,plain,
! [Z_232] : ( multiply(sk_c8,multiply(sk_c5,Z_232)) = Z_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18137]) ).
tff(c_18754,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18096,c_18742]) ).
tff(c_18758,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18084,c_18754]) ).
tff(c_18078,plain,
multiply(sk_c3,sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_17279,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17275,c_4]) ).
tff(c_18134,plain,
! [Z_219] : ( multiply(sk_c4,multiply(sk_c3,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_17279,c_18107]) ).
tff(c_18602,plain,
! [Z_228] : ( multiply(sk_c4,multiply(sk_c3,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18134]) ).
tff(c_18614,plain,
multiply(sk_c4,sk_c8) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18078,c_18602]) ).
tff(c_18760,plain,
multiply(sk_c4,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18758,c_18614]) ).
tff(c_18089,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17267,c_36]) ).
tff(c_18763,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18758,c_18089]) ).
tff(c_18855,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18760,c_18763]) ).
tff(c_18863,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18855,c_18760]) ).
tff(c_18146,plain,
! [X_2,Z_219] : ( multiply(inverse(X_2),multiply(X_2,Z_219)) = multiply(identity,Z_219) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18107]) ).
tff(c_18158,plain,
! [X_2,Z_219] : ( multiply(inverse(X_2),multiply(X_2,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18146]) ).
tff(c_19072,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18863,c_18158]) ).
tff(c_19079,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19072]) ).
tff(c_18877,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18855,c_85]) ).
tff(c_18940,plain,
multiply(sk_c4,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18877,c_4]) ).
tff(c_19134,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19079,c_18940]) ).
tff(c_18768,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18758,c_17267]) ).
tff(c_18870,plain,
multiply(sk_c2,sk_c4) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_18855,c_18855,c_18768]) ).
tff(c_19082,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19079,c_19079,c_18870]) ).
tff(c_19241,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19134,c_19082]) ).
tff(c_19243,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_50,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_19271,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19243,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_19280,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_19243,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_19256,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19243,c_54]) ).
tff(c_19260,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19256,c_4]) ).
tff(c_19331,plain,
! [Z_240] : ( multiply(sk_c8,multiply(sk_c5,Z_240)) = multiply(identity,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_19260,c_19304]) ).
tff(c_19353,plain,
! [Z_241] : ( multiply(sk_c8,multiply(sk_c5,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19331]) ).
tff(c_19365,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19280,c_19353]) ).
tff(c_19369,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19271,c_19365]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_19290,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19243,c_48]) ).
tff(c_19371,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19369,c_19290]) ).
tff(c_19242,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c3,sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_19285,plain,
multiply(sk_c3,sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19243,c_44]) ).
tff(c_19372,plain,
multiply(sk_c3,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19369,c_19285]) ).
tff(c_20417,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_19372,c_20384]) ).
tff(c_20447,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_19371,c_19242,c_20417]) ).
tff(c_19374,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19369,c_19271]) ).
tff(c_20408,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19374,c_20384]) ).
tff(c_20445,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20408]) ).
tff(c_19373,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19369,c_19280]) ).
tff(c_20450,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20445,c_19373]) ).
tff(c_20604,plain,
multiply(sk_c5,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_20450]) ).
tff(c_20456,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_20447,c_19371]) ).
tff(c_20462,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_19369]) ).
tff(c_19325,plain,
! [Z_240] : ( multiply(sk_c5,multiply(sk_c8,Z_240)) = multiply(sk_c6,Z_240) ),
inference(superposition,[status(thm),theory(equality)],[c_19280,c_19304]) ).
tff(c_20552,plain,
! [Z_240] : ( multiply(sk_c5,multiply(sk_c4,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_20462,c_2,c_20445,c_19325]) ).
tff(c_20621,plain,
multiply(sk_c5,sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20456,c_20552]) ).
tff(c_20630,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20604,c_20621]) ).
tff(c_20644,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20630,c_20447]) ).
tff(c_20826,plain,
! [X_267] : ( multiply(X_267,inverse(X_267)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20788]) ).
tff(c_19459,plain,
! [X_243,Z_244] : ( multiply(inverse(X_243),multiply(X_243,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19340]) ).
tff(c_19492,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_19372,c_19459]) ).
tff(c_19522,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_19371,c_19242,c_19492]) ).
tff(c_19531,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_19522,c_19522,c_19371]) ).
tff(c_19704,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_19531,c_19351]) ).
tff(c_19711,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19704]) ).
tff(c_19724,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19711,c_19522]) ).
tff(c_19931,plain,
! [X_250,Z_251] : ( multiply(inverse(inverse(X_250)),Z_251) = multiply(X_250,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_19459,c_19351]) ).
tff(c_19513,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19459]) ).
tff(c_19938,plain,
! [X_250] : ( multiply(X_250,identity) = X_250 ),
inference(superposition,[status(thm),theory(equality)],[c_19931,c_19513]) ).
tff(c_19397,plain,
! [X6_7,X2_10,X4_11,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19369,c_19369,c_19369,c_19369,c_19369,c_19369,c_19369,c_19369,c_56]) ).
tff(c_19398,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19397]) ).
tff(c_20320,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19724,c_19938,c_19724,c_19724,c_19398]) ).
tff(c_19376,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19369,c_19256]) ).
tff(c_19536,plain,
inverse(sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_19522,c_19376]) ).
tff(c_19599,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19536,c_4]) ).
tff(c_19790,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19711,c_19599]) ).
tff(c_19721,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19711,c_19536]) ).
tff(c_19792,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19790,c_19721]) ).
tff(c_20322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20320,c_19792]) ).
tff(c_20323,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19397]) ).
tff(c_28889,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X2_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20795,c_20644,c_20644,c_2,c_20644,c_20644,c_20826,c_20644,c_20795,c_20644,c_20644,c_20795,c_20644,c_20644,c_20644,c_20323]) ).
tff(c_28891,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28889]) ).
tff(c_20461,plain,
inverse(sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_20447,c_19376]) ).
tff(c_20524,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20461,c_4]) ).
tff(c_20701,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20630,c_20524]) ).
tff(c_20641,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20630,c_20461]) ).
tff(c_20706,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20701,c_20641]) ).
tff(c_28893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28891,c_20706]) ).
tff(c_28894,plain,
! [X2_10,X4_11] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_28889]) ).
tff(c_28896,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28894]) ).
tff(c_28898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28896,c_20706]) ).
tff(c_28899,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitRight,[status(thm)],[c_28894]) ).
tff(c_29228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28899,c_20706]) ).
tff(c_29230,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_38793,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29230,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_38808,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29230,c_16]) ).
tff(c_29229,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_29234,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29229,c_4]) ).
tff(c_38863,plain,
! [Z_478] : ( multiply(sk_c8,multiply(sk_c5,Z_478)) = multiply(identity,Z_478) ),
inference(superposition,[status(thm),theory(equality)],[c_29234,c_38833]) ).
tff(c_39260,plain,
! [Z_487] : ( multiply(sk_c8,multiply(sk_c5,Z_487)) = Z_487 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38863]) ).
tff(c_39272,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38808,c_39260]) ).
tff(c_39276,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38793,c_39272]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_38798,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29230,c_12]) ).
tff(c_39281,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39276,c_38798]) ).
tff(c_29303,plain,
! [X_360,Y_361,Z_362] : ( multiply(multiply(X_360,Y_361),Z_362) = multiply(X_360,multiply(Y_361,Z_362)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29339,plain,
! [X_2,Z_362] : ( multiply(inverse(X_2),multiply(X_2,Z_362)) = multiply(identity,Z_362) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29303]) ).
tff(c_29350,plain,
! [X_2,Z_362] : ( multiply(inverse(X_2),multiply(X_2,Z_362)) = Z_362 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29339]) ).
tff(c_30201,plain,
! [X_379,Z_380] : ( multiply(inverse(X_379),multiply(X_379,Z_380)) = Z_380 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29339]) ).
tff(c_30532,plain,
! [X_384,Z_385] : ( multiply(inverse(inverse(X_384)),Z_385) = multiply(X_384,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_29350,c_30201]) ).
tff(c_30255,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30201]) ).
tff(c_30539,plain,
! [X_384] : ( multiply(X_384,identity) = X_384 ),
inference(superposition,[status(thm),theory(equality)],[c_30532,c_30255]) ).
tff(c_29273,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29230,c_14]) ).
tff(c_29289,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29230,c_16]) ).
tff(c_29336,plain,
! [Z_362] : ( multiply(sk_c8,multiply(sk_c5,Z_362)) = multiply(identity,Z_362) ),
inference(superposition,[status(thm),theory(equality)],[c_29234,c_29303]) ).
tff(c_29375,plain,
! [Z_364] : ( multiply(sk_c8,multiply(sk_c5,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29336]) ).
tff(c_29387,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_29289,c_29375]) ).
tff(c_29391,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29273,c_29387]) ).
tff(c_29263,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29230,c_12]) ).
tff(c_29397,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29391,c_29263]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_29255,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_29230,c_10]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_29281,plain,
multiply(sk_c3,sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29230,c_8]) ).
tff(c_29395,plain,
multiply(sk_c3,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29391,c_29281]) ).
tff(c_30219,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29395,c_30201]) ).
tff(c_30262,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29397,c_29255,c_30219]) ).
tff(c_29259,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29255,c_4]) ).
tff(c_29327,plain,
! [Z_362] : ( multiply(sk_c4,multiply(sk_c3,Z_362)) = multiply(identity,Z_362) ),
inference(superposition,[status(thm),theory(equality)],[c_29259,c_29303]) ).
tff(c_29352,plain,
! [Z_363] : ( multiply(sk_c4,multiply(sk_c3,Z_363)) = Z_363 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29327]) ).
tff(c_29364,plain,
multiply(sk_c4,sk_c8) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29281,c_29352]) ).
tff(c_29393,plain,
multiply(sk_c4,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29391,c_29364]) ).
tff(c_30344,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_29393]) ).
tff(c_30348,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_30344,c_29350]) ).
tff(c_30354,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30348]) ).
tff(c_30361,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30354,c_30262]) ).
tff(c_30553,plain,
! [X_384] : ( multiply(X_384,inverse(X_384)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_30532,c_4]) ).
tff(c_29444,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29393,c_29397]) ).
tff(c_29452,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29444,c_29393]) ).
tff(c_29569,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29452,c_29350]) ).
tff(c_29575,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29569]) ).
tff(c_29584,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29575,c_29444]) ).
tff(c_29465,plain,
! [X_365,Z_366] : ( multiply(inverse(X_365),multiply(X_365,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29339]) ).
tff(c_29770,plain,
! [X_369,Z_370] : ( multiply(inverse(inverse(X_369)),Z_370) = multiply(X_369,Z_370) ),
inference(superposition,[status(thm),theory(equality)],[c_29350,c_29465]) ).
tff(c_29495,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29465]) ).
tff(c_29777,plain,
! [X_369] : ( multiply(X_369,identity) = X_369 ),
inference(superposition,[status(thm),theory(equality)],[c_29770,c_29495]) ).
tff(c_29405,plain,
! [X6_7,X2_10,X4_11,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29391,c_29391,c_29391,c_29391,c_29391,c_29391,c_29391,c_29391,c_56]) ).
tff(c_29406,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_29405]) ).
tff(c_30150,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29584,c_29777,c_29584,c_29584,c_29406]) ).
tff(c_29242,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_29460,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29444,c_29242]) ).
tff(c_29534,plain,
multiply(sk_c4,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29460,c_4]) ).
tff(c_29601,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29575,c_29534]) ).
tff(c_29579,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29575,c_29460]) ).
tff(c_29626,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29601,c_29579]) ).
tff(c_30152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30150,c_29626]) ).
tff(c_30153,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_29405]) ).
tff(c_38366,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != identity )
| ( identity != X4_11 )
| ( inverse(X2_10) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30539,c_30361,c_30361,c_2,c_30361,c_30361,c_30553,c_30361,c_30539,c_30361,c_30361,c_30539,c_30361,c_30361,c_30361,c_30153]) ).
tff(c_38368,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_38366]) ).
tff(c_29400,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29391,c_29229]) ).
tff(c_30272,plain,
inverse(sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_30262,c_29400]) ).
tff(c_30330,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30272,c_4]) ).
tff(c_30407,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30354,c_30330]) ).
tff(c_30358,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30354,c_30272]) ).
tff(c_30412,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30407,c_30358]) ).
tff(c_38370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38368,c_30412]) ).
tff(c_38371,plain,
! [X2_10,X4_11] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(splitRight,[status(thm)],[c_38366]) ).
tff(c_38373,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_38371]) ).
tff(c_38375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38373,c_30412]) ).
tff(c_38376,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitRight,[status(thm)],[c_38371]) ).
tff(c_38775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38376,c_30412]) ).
tff(c_38776,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_38815,plain,
multiply(sk_c3,sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29230,c_8]) ).
tff(c_39279,plain,
multiply(sk_c3,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39276,c_38815]) ).
tff(c_40791,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_39279,c_38876]) ).
tff(c_40800,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_39281,c_38776,c_40791]) ).
tff(c_38781,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38776,c_4]) ).
tff(c_38860,plain,
! [Z_478] : ( multiply(sk_c4,multiply(sk_c3,Z_478)) = multiply(identity,Z_478) ),
inference(superposition,[status(thm),theory(equality)],[c_38781,c_38833]) ).
tff(c_38878,plain,
! [Z_479] : ( multiply(sk_c4,multiply(sk_c3,Z_479)) = Z_479 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38860]) ).
tff(c_38890,plain,
multiply(sk_c4,sk_c8) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_38815,c_38878]) ).
tff(c_39278,plain,
multiply(sk_c4,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_39276,c_38890]) ).
tff(c_40829,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_40800,c_39278]) ).
tff(c_40833,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40829,c_38876]) ).
tff(c_40839,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40833]) ).
tff(c_40846,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40839,c_40800]) ).
tff(c_41015,plain,
! [X_519] : ( multiply(X_519,inverse(X_519)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40977]) ).
tff(c_39352,plain,
! [X_488,Z_489] : ( multiply(inverse(X_488),multiply(X_488,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38866]) ).
tff(c_39682,plain,
! [X_494,Z_495] : ( multiply(inverse(inverse(X_494)),Z_495) = multiply(X_494,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_39352,c_38876]) ).
tff(c_39385,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39352]) ).
tff(c_39693,plain,
! [X_494] : ( multiply(X_494,identity) = X_494 ),
inference(superposition,[status(thm),theory(equality)],[c_39682,c_39385]) ).
tff(c_39321,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_39278,c_39281]) ).
tff(c_39330,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_39321,c_39278]) ).
tff(c_39452,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_39330,c_38876]) ).
tff(c_39458,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39452]) ).
tff(c_39468,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39458,c_39321]) ).
tff(c_38902,plain,
! [Z_480] : ( multiply(sk_c8,multiply(sk_c5,Z_480)) = Z_480 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38863]) ).
tff(c_38914,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38808,c_38902]) ).
tff(c_38918,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38793,c_38914]) ).
tff(c_38920,plain,
multiply(sk_c4,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_38918,c_38890]) ).
tff(c_38923,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_38918,c_38798]) ).
tff(c_38981,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_38920,c_38923]) ).
tff(c_38992,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_38981,c_38920]) ).
tff(c_39100,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_38992,c_38876]) ).
tff(c_39106,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39100]) ).
tff(c_38901,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c8 )
| ( inverse(X3_8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_38948,plain,
! [X3_481] :
( ( multiply(X3_481,sk_c7) != sk_c7 )
| ( inverse(X3_481) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38918,c_38918,c_38901]) ).
tff(c_38961,plain,
inverse(identity) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2,c_38948]) ).
tff(c_38995,plain,
inverse(identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_38981,c_38961]) ).
tff(c_39132,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39106,c_38995]) ).
tff(c_39139,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39106,c_38781]) ).
tff(c_39243,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_39139,c_2]) ).
tff(c_39140,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39106,c_38776]) ).
tff(c_39254,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39243,c_39140]) ).
tff(c_39258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39132,c_39254]) ).
tff(c_39259,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c8 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_39305,plain,
! [X4_11,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39276,c_39276,c_39276,c_39276,c_39276,c_39276,c_39259]) ).
tff(c_39306,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_39305]) ).
tff(c_40700,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39693,c_39468,c_39468,c_2,c_39468,c_39468,c_39306]) ).
tff(c_39471,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39458,c_38776]) ).
tff(c_39508,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39471,c_4]) ).
tff(c_39526,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_39508,c_38876]) ).
tff(c_39538,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39526]) ).
tff(c_39542,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39538,c_39471]) ).
tff(c_40702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40700,c_39542]) ).
tff(c_40703,plain,
! [X2_10,X4_11] :
( ( multiply(inverse(X2_10),sk_c7) != sk_c7 )
| ( multiply(X2_10,inverse(X2_10)) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_39305]) ).
tff(c_48844,plain,
! [X2_10,X4_11] :
( ( inverse(X2_10) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40984,c_40846,c_40846,c_40846,c_41015,c_40846,c_40984,c_40846,c_40846,c_40703]) ).
tff(c_48846,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_48844]) ).
tff(c_39285,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39276,c_29229]) ).
tff(c_40806,plain,
inverse(sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_40800,c_39285]) ).
tff(c_40824,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40806,c_4]) ).
tff(c_40855,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40839,c_40824]) ).
tff(c_40844,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40839,c_40806]) ).
tff(c_40868,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40855,c_40844]) ).
tff(c_48848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48846,c_40868]) ).
tff(c_48849,plain,
! [X2_10] : ( inverse(X2_10) != identity ),
inference(splitRight,[status(thm)],[c_48844]) ).
tff(c_48851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48849,c_40868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:37:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 14.10/5.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.10/5.50
% 14.10/5.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.79/5.57
% 14.79/5.57 Inference rules
% 14.79/5.57 ----------------------
% 14.79/5.57 #Ref : 0
% 14.79/5.57 #Sup : 12021
% 14.79/5.57 #Fact : 0
% 14.79/5.57 #Define : 0
% 14.79/5.57 #Split : 27
% 14.79/5.57 #Chain : 0
% 14.79/5.57 #Close : 0
% 14.79/5.57
% 14.79/5.57 Ordering : KBO
% 14.79/5.57
% 14.79/5.57 Simplification rules
% 14.79/5.57 ----------------------
% 14.79/5.57 #Subsume : 7
% 14.79/5.57 #Demod : 30284
% 14.79/5.57 #Tautology : 9692
% 14.79/5.57 #SimpNegUnit : 54
% 14.79/5.57 #BackRed : 527
% 14.79/5.57
% 14.79/5.57 #Partial instantiations: 0
% 14.79/5.57 #Strategies tried : 1
% 14.79/5.57
% 14.79/5.57 Timing (in seconds)
% 14.79/5.57 ----------------------
% 14.79/5.57 Preprocessing : 0.52
% 14.79/5.57 Parsing : 0.22
% 14.79/5.57 CNF conversion : 0.03
% 14.79/5.57 Main loop : 3.83
% 14.79/5.57 Inferencing : 1.15
% 14.79/5.57 Reduction : 2.00
% 14.79/5.57 Demodulation : 1.80
% 14.79/5.57 BG Simplification : 0.11
% 14.79/5.57 Subsumption : 0.37
% 14.79/5.57 Abstraction : 0.23
% 14.79/5.57 MUC search : 0.00
% 14.79/5.57 Cooper : 0.00
% 14.79/5.57 Total : 4.49
% 14.79/5.57 Index Insertion : 0.00
% 14.79/5.57 Index Deletion : 0.00
% 14.79/5.57 Index Matching : 0.00
% 14.79/5.57 BG Taut test : 0.00
%------------------------------------------------------------------------------