TSTP Solution File: GRP291-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP291-1 : 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 : n011.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 10:40:48 EDT 2023
% Result : Unsatisfiable 9.72s 3.42s
% Output : CNFRefutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 545 ( 454 unt; 10 typ; 0 def)
% Number of atoms : 699 ( 671 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 372 ( 208 ~; 164 |; 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 : 236 (; 236 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X4,sk_c5) != sk_c7 )
| ( inverse(X4) != sk_c5 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( multiply(X2,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_134,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_164,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_134]) ).
tff(c_174,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_1105,plain,
! [X_35,Z_36] : ( multiply(inverse(X_35),multiply(X_35,Z_36)) = Z_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_1371,plain,
! [X_39,Z_40] : ( multiply(inverse(inverse(X_39)),Z_40) = multiply(X_39,Z_40) ),
inference(superposition,[status(thm),theory(equality)],[c_174,c_1105]) ).
tff(c_1144,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1105]) ).
tff(c_1378,plain,
! [X_39] : ( multiply(X_39,identity) = X_39 ),
inference(superposition,[status(thm),theory(equality)],[c_1371,c_1144]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_75,plain,
inverse(sk_c2) = sk_c5,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_113,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_87,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_91,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_87,c_4]) ).
tff(c_158,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_134]) ).
tff(c_379,plain,
! [Z_20] : ( multiply(sk_c7,multiply(sk_c1,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158]) ).
tff(c_391,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_113,c_379]) ).
tff(c_395,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_391]) ).
tff(c_44,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_107,plain,
multiply(sk_c2,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_399,plain,
multiply(sk_c2,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_395,c_107]) ).
tff(c_1175,plain,
multiply(inverse(sk_c2),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_399,c_174]) ).
tff(c_1181,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_1175]) ).
tff(c_1199,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_1181,c_174]) ).
tff(c_1205,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1199]) ).
tff(c_400,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_395,c_102]) ).
tff(c_1129,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_400,c_1105]) ).
tff(c_1151,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1129]) ).
tff(c_476,plain,
! [X_22,Z_23] : ( multiply(inverse(X_22),multiply(X_22,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_512,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_400,c_476]) ).
tff(c_537,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_512]) ).
tff(c_792,plain,
! [X_28,Z_29] : ( multiply(inverse(inverse(X_28)),Z_29) = multiply(X_28,Z_29) ),
inference(superposition,[status(thm),theory(equality)],[c_476,c_174]) ).
tff(c_527,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_476]) ).
tff(c_803,plain,
! [X_28] : ( multiply(X_28,identity) = X_28 ),
inference(superposition,[status(thm),theory(equality)],[c_792,c_527]) ).
tff(c_79,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_75,c_4]) ).
tff(c_161,plain,
! [Z_14] : ( multiply(sk_c5,multiply(sk_c2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_134]) ).
tff(c_453,plain,
! [Z_21] : ( multiply(sk_c5,multiply(sk_c2,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_161]) ).
tff(c_465,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_399,c_453]) ).
tff(c_494,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_465,c_476]) ).
tff(c_534,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_494]) ).
tff(c_235,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158]) ).
tff(c_247,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_113,c_235]) ).
tff(c_251,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_247]) ).
tff(c_259,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_251,c_102]) ).
tff(c_339,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_259,c_174]) ).
tff(c_345,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_339]) ).
tff(c_58,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_177,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_58]) ).
tff(c_178,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitLeft,[status(thm)],[c_177]) ).
tff(c_256,plain,
multiply(sk_c6,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_251,c_178]) ).
tff(c_369,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_345,c_256]) ).
tff(c_370,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_177]) ).
tff(c_407,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_395,c_395,c_395,c_395,c_395,c_370]) ).
tff(c_408,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_407]) ).
tff(c_1072,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_537,c_803,c_534,c_537,c_408]) ).
tff(c_553,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_534,c_79]) ).
tff(c_647,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_553]) ).
tff(c_554,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_534,c_75]) ).
tff(c_672,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_647,c_554]) ).
tff(c_1074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1072,c_672]) ).
tff(c_1075,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_407]) ).
tff(c_9935,plain,
! [X1_8,X4_7,X3_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_1205,c_1151,c_1205,c_1378,c_1205,c_1205,c_1205,c_1205,c_1378,c_1205,c_1151,c_1075]) ).
tff(c_9937,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9935]) ).
tff(c_1214,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1205,c_79]) ).
tff(c_1278,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_1214]) ).
tff(c_1215,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1205,c_75]) ).
tff(c_1284,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1278,c_1215]) ).
tff(c_9939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9937,c_1284]) ).
tff(c_9940,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_9935]) ).
tff(c_9942,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9940]) ).
tff(c_9944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9942,c_1284]) ).
tff(c_10273,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_9940]) ).
tff(c_10275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10273,c_1284]) ).
tff(c_10277,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_10308,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10277,c_26]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_10289,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10277,c_24]) ).
tff(c_10293,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10289,c_4]) ).
tff(c_10328,plain,
! [X_135,Y_136,Z_137] : ( multiply(multiply(X_135,Y_136),Z_137) = multiply(X_135,multiply(Y_136,Z_137)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10352,plain,
! [Z_137] : ( multiply(sk_c6,multiply(sk_c4,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_10293,c_10328]) ).
tff(c_10600,plain,
! [Z_144] : ( multiply(sk_c6,multiply(sk_c4,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10352]) ).
tff(c_10612,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10308,c_10600]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_10315,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10277,c_22]) ).
tff(c_10276,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_10281,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10276,c_4]) ).
tff(c_10355,plain,
! [Z_137] : ( multiply(sk_c7,multiply(sk_c3,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_10281,c_10328]) ).
tff(c_10623,plain,
! [Z_145] : ( multiply(sk_c7,multiply(sk_c3,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10355]) ).
tff(c_10635,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10315,c_10623]) ).
tff(c_10367,plain,
! [Z_137] : ( multiply(sk_c5,multiply(sk_c2,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_10328]) ).
tff(c_10397,plain,
! [Z_139] : ( multiply(sk_c5,multiply(sk_c2,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10367]) ).
tff(c_10409,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_107,c_10397]) ).
tff(c_10678,plain,
! [Z_147] : ( multiply(sk_c2,multiply(sk_c5,Z_147)) = multiply(sk_c7,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_107,c_10328]) ).
tff(c_10693,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_10409,c_10678]) ).
tff(c_10703,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10635,c_107,c_10693]) ).
tff(c_10705,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_10703,c_10635]) ).
tff(c_10718,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10612,c_10705]) ).
tff(c_10707,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_10409]) ).
tff(c_10797,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10718,c_10707]) ).
tff(c_10370,plain,
! [X_2,Z_137] : ( multiply(inverse(X_2),multiply(X_2,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10328]) ).
tff(c_10807,plain,
! [X_148,Z_149] : ( multiply(inverse(X_148),multiply(X_148,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10370]) ).
tff(c_10825,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10797,c_10807]) ).
tff(c_10868,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10825]) ).
tff(c_10717,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_87]) ).
tff(c_10747,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10718,c_10717]) ).
tff(c_10751,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10747,c_4]) ).
tff(c_10974,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10868,c_10751]) ).
tff(c_10712,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_10277]) ).
tff(c_10806,plain,
multiply(sk_c1,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10718,c_10718,c_10712]) ).
tff(c_10871,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10868,c_10868,c_10806]) ).
tff(c_10975,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10974,c_10871]) ).
tff(c_10979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10975]) ).
tff(c_10981,plain,
multiply(sk_c2,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_42,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_11711,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10981,c_42]) ).
tff(c_40,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_10994,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10981,c_40]) ).
tff(c_10998,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10994,c_4]) ).
tff(c_11725,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_11749,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c3,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_10998,c_11725]) ).
tff(c_12567,plain,
! [Z_183] : ( multiply(sk_c7,multiply(sk_c3,Z_183)) = Z_183 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11749]) ).
tff(c_12579,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11711,c_12567]) ).
tff(c_38,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_11013,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10981,c_38]) ).
tff(c_12770,plain,
! [Z_187] : ( multiply(sk_c3,multiply(sk_c6,Z_187)) = multiply(sk_c7,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_11711,c_11725]) ).
tff(c_12785,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_11013,c_12770]) ).
tff(c_12792,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12579,c_12785]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_11033,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10981,c_46]) ).
tff(c_10980,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_10985,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10980,c_4]) ).
tff(c_11038,plain,
! [X_150,Y_151,Z_152] : ( multiply(multiply(X_150,Y_151),Z_152) = multiply(X_150,multiply(Y_151,Z_152)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11068,plain,
! [Z_152] : ( multiply(sk_c6,multiply(sk_c4,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_10985,c_11038]) ).
tff(c_11323,plain,
! [Z_157] : ( multiply(sk_c6,multiply(sk_c4,Z_157)) = Z_157 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11068]) ).
tff(c_11335,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11033,c_11323]) ).
tff(c_11018,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_11074,plain,
! [Z_152] : ( multiply(sk_c7,multiply(sk_c1,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_11038]) ).
tff(c_11094,plain,
! [Z_153] : ( multiply(sk_c7,multiply(sk_c1,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11074]) ).
tff(c_11106,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11018,c_11094]) ).
tff(c_11110,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_11106]) ).
tff(c_11199,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11110,c_11018]) ).
tff(c_11204,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11110,c_102]) ).
tff(c_11059,plain,
! [Z_152] : ( multiply(sk_c1,multiply(sk_c7,Z_152)) = multiply(sk_c6,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_11018,c_11038]) ).
tff(c_11274,plain,
! [Z_155] : ( multiply(sk_c1,multiply(sk_c5,Z_155)) = multiply(sk_c6,Z_155) ),
inference(demodulation,[status(thm),theory(equality)],[c_11110,c_11059]) ).
tff(c_11289,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_11204,c_11274]) ).
tff(c_11299,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11199,c_11289]) ).
tff(c_11339,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11335,c_11299]) ).
tff(c_11200,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11110,c_11013]) ).
tff(c_11350,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11339,c_11200]) ).
tff(c_11080,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = multiply(identity,Z_152) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11038]) ).
tff(c_11092,plain,
! [X_2,Z_152] : ( multiply(inverse(X_2),multiply(X_2,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11080]) ).
tff(c_11447,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11350,c_11092]) ).
tff(c_11453,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11447]) ).
tff(c_11467,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11453,c_79]) ).
tff(c_11642,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_11467,c_11092]) ).
tff(c_11654,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11642]) ).
tff(c_11203,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11110,c_10981]) ).
tff(c_11462,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11453,c_11453,c_11203]) ).
tff(c_11704,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11654,c_11462]) ).
tff(c_11705,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_11752,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c4,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_10985,c_11725]) ).
tff(c_12804,plain,
! [Z_188] : ( multiply(sk_c6,multiply(sk_c4,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11752]) ).
tff(c_12822,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11705,c_12804]) ).
tff(c_11740,plain,
! [Z_163] : ( multiply(sk_c3,multiply(sk_c6,Z_163)) = multiply(sk_c7,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_11711,c_11725]) ).
tff(c_12829,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_12822,c_11740]) ).
tff(c_12838,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12792,c_102,c_12829]) ).
tff(c_12849,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12838,c_11013]) ).
tff(c_11764,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_11725]) ).
tff(c_12924,plain,
! [X_189,Z_190] : ( multiply(inverse(X_189),multiply(X_189,Z_190)) = Z_190 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11764]) ).
tff(c_12954,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12849,c_12924]) ).
tff(c_13005,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12954]) ).
tff(c_13019,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13005,c_91]) ).
tff(c_11776,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_11764]) ).
tff(c_13233,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_13019,c_11776]) ).
tff(c_13245,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13233]) ).
tff(c_12844,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12838,c_12579]) ).
tff(c_13010,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13005,c_13005,c_12844]) ).
tff(c_13021,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13010]) ).
tff(c_11706,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_12846,plain,
multiply(sk_c1,sk_c7) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12838,c_11706]) ).
tff(c_13009,plain,
multiply(sk_c1,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13005,c_12846]) ).
tff(c_13153,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13021,c_13009]) ).
tff(c_13249,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13245,c_13153]) ).
tff(c_13254,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13249]) ).
tff(c_13256,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14009,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13256,c_16]) ).
tff(c_13264,plain,
multiply(sk_c2,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_13625,plain,
! [X_201,Y_202,Z_203] : ( multiply(multiply(X_201,Y_202),Z_203) = multiply(X_201,multiply(Y_202,Z_203)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13661,plain,
! [Z_203] : ( multiply(sk_c5,multiply(sk_c2,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_13625]) ).
tff(c_13693,plain,
! [Z_205] : ( multiply(sk_c5,multiply(sk_c2,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13661]) ).
tff(c_13705,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13264,c_13693]) ).
tff(c_13664,plain,
! [X_2,Z_203] : ( multiply(inverse(X_2),multiply(X_2,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13625]) ).
tff(c_13804,plain,
! [X_209,Z_210] : ( multiply(inverse(X_209),multiply(X_209,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13664]) ).
tff(c_13840,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13705,c_13804]) ).
tff(c_13896,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13840]) ).
tff(c_13318,plain,
! [X_193,Y_194,Z_195] : ( multiply(multiply(X_193,Y_194),Z_195) = multiply(X_193,multiply(Y_194,Z_195)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13357,plain,
! [Z_195] : ( multiply(sk_c5,multiply(sk_c2,Z_195)) = multiply(identity,Z_195) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_13318]) ).
tff(c_13376,plain,
! [Z_196] : ( multiply(sk_c5,multiply(sk_c2,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13357]) ).
tff(c_13388,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13264,c_13376]) ).
tff(c_13360,plain,
! [X_2,Z_195] : ( multiply(inverse(X_2),multiply(X_2,Z_195)) = multiply(identity,Z_195) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13318]) ).
tff(c_13423,plain,
! [X_198,Z_199] : ( multiply(inverse(X_198),multiply(X_198,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13360]) ).
tff(c_13447,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13388,c_13423]) ).
tff(c_13503,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13447]) ).
tff(c_13294,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_13354,plain,
! [Z_195] : ( multiply(sk_c7,multiply(sk_c1,Z_195)) = multiply(identity,Z_195) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_13318]) ).
tff(c_13399,plain,
! [Z_197] : ( multiply(sk_c7,multiply(sk_c1,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13354]) ).
tff(c_13411,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13294,c_13399]) ).
tff(c_13415,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13411,c_13256]) ).
tff(c_13521,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13503,c_13415]) ).
tff(c_13441,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13411,c_13423]) ).
tff(c_13502,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13441]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_13273,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13256,c_14]) ).
tff(c_13312,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13256,c_16]) ).
tff(c_13456,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13312,c_13423]) ).
tff(c_13504,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13273,c_13456]) ).
tff(c_13599,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13502,c_2,c_13502,c_13504]) ).
tff(c_13600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13521,c_13599]) ).
tff(c_13602,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_13607,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13602,c_22]) ).
tff(c_13255,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_13260,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13255,c_4]) ).
tff(c_13652,plain,
! [Z_203] : ( multiply(sk_c7,multiply(sk_c3,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_13260,c_13625]) ).
tff(c_13780,plain,
! [Z_208] : ( multiply(sk_c7,multiply(sk_c3,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13652]) ).
tff(c_13792,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13607,c_13780]) ).
tff(c_13732,plain,
! [Z_207] : ( multiply(sk_c2,multiply(sk_c5,Z_207)) = multiply(sk_c7,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_13264,c_13625]) ).
tff(c_13747,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_13705,c_13732]) ).
tff(c_13757,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13264,c_13747]) ).
tff(c_13796,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13792,c_13757]) ).
tff(c_13927,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13896,c_13796]) ).
tff(c_13915,plain,
multiply(identity,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13896,c_13256]) ).
tff(c_13922,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13915]) ).
tff(c_13938,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13927,c_13922]) ).
tff(c_13601,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_13277,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13273,c_4]) ).
tff(c_13649,plain,
! [Z_203] : ( multiply(sk_c6,multiply(sk_c4,Z_203)) = multiply(identity,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_13277,c_13625]) ).
tff(c_13716,plain,
! [Z_206] : ( multiply(sk_c6,multiply(sk_c4,Z_206)) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13649]) ).
tff(c_13728,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13601,c_13716]) ).
tff(c_13928,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13927,c_13927,c_13728]) ).
tff(c_13933,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13928]) ).
tff(c_13975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13938,c_13933]) ).
tff(c_13976,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_13981,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13976,c_4]) ).
tff(c_14032,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_14059,plain,
! [Z_214] : ( multiply(sk_c6,multiply(sk_c4,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_13981,c_14032]) ).
tff(c_14160,plain,
! [Z_218] : ( multiply(sk_c6,multiply(sk_c4,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14059]) ).
tff(c_14172,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14009,c_14160]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_14018,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_14065,plain,
! [Z_214] : ( multiply(sk_c7,multiply(sk_c1,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_14032]) ).
tff(c_14100,plain,
! [Z_216] : ( multiply(sk_c7,multiply(sk_c1,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14065]) ).
tff(c_14112,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14018,c_14100]) ).
tff(c_14124,plain,
! [Z_217] : ( multiply(sk_c1,multiply(sk_c7,Z_217)) = multiply(sk_c6,Z_217) ),
inference(superposition,[status(thm),theory(equality)],[c_14018,c_14032]) ).
tff(c_14139,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_14112,c_14124]) ).
tff(c_14152,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14018,c_14139]) ).
tff(c_14176,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14172,c_14152]) ).
tff(c_14187,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14176,c_14112]) ).
tff(c_14071,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_14032]) ).
tff(c_14083,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_14071]) ).
tff(c_14276,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14187,c_14083]) ).
tff(c_14282,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14276]) ).
tff(c_14116,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14112,c_13256]) ).
tff(c_14289,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14282,c_14116]) ).
tff(c_13977,plain,
multiply(sk_c2,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_14025,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13977,c_38]) ).
tff(c_14188,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14176,c_14025]) ).
tff(c_14445,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14282,c_2,c_14282,c_14188]) ).
tff(c_14446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14289,c_14445]) ).
tff(c_14447,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14459,plain,
! [X_223,Y_224,Z_225] : ( multiply(multiply(X_223,Y_224),Z_225) = multiply(X_223,multiply(Y_224,Z_225)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14483,plain,
! [Z_225] : ( multiply(sk_c6,multiply(sk_c4,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_13981,c_14459]) ).
tff(c_14537,plain,
! [Z_228] : ( multiply(sk_c6,multiply(sk_c4,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14483]) ).
tff(c_14549,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14009,c_14537]) ).
tff(c_14004,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13977,c_42]) ).
tff(c_14486,plain,
! [Z_225] : ( multiply(sk_c7,multiply(sk_c3,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_13260,c_14459]) ).
tff(c_14560,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c3,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14486]) ).
tff(c_14572,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14004,c_14560]) ).
tff(c_14752,plain,
! [Z_234] : ( multiply(sk_c6,multiply(sk_c7,Z_234)) = multiply(sk_c5,Z_234) ),
inference(superposition,[status(thm),theory(equality)],[c_14447,c_14459]) ).
tff(c_14767,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_14572,c_14752]) ).
tff(c_14783,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14549,c_14767]) ).
tff(c_14477,plain,
! [Z_225] : ( multiply(sk_c4,multiply(sk_c5,Z_225)) = multiply(sk_c6,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_14009,c_14459]) ).
tff(c_14790,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_14783,c_14477]) ).
tff(c_14797,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14447,c_14009,c_14790]) ).
tff(c_14495,plain,
! [X_2,Z_225] : ( multiply(inverse(X_2),multiply(X_2,Z_225)) = multiply(identity,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14459]) ).
tff(c_14507,plain,
! [X_2,Z_225] : ( multiply(inverse(X_2),multiply(X_2,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14495]) ).
tff(c_14787,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14783,c_14507]) ).
tff(c_14796,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14787]) ).
tff(c_14809,plain,
multiply(identity,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14796,c_13256]) ).
tff(c_14815,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14809]) ).
tff(c_14853,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14797,c_14815]) ).
tff(c_14855,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_14899,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14855,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_14867,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14855,c_34]) ).
tff(c_14871,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14867,c_4]) ).
tff(c_14913,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_14937,plain,
! [Z_238] : ( multiply(sk_c6,multiply(sk_c4,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_14871,c_14913]) ).
tff(c_15297,plain,
! [Z_248] : ( multiply(sk_c6,multiply(sk_c4,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14937]) ).
tff(c_15309,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14899,c_15297]) ).
tff(c_14946,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_14913]) ).
tff(c_15431,plain,
! [X_254,Z_255] : ( multiply(inverse(X_254),multiply(X_254,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14946]) ).
tff(c_15464,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15309,c_15431]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_14880,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14855,c_28]) ).
tff(c_15482,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14880,c_15431]) ).
tff(c_15880,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15464,c_15482]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_14894,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14855,c_32]) ).
tff(c_14854,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_14859,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14854,c_4]) ).
tff(c_14940,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c3,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_14859,c_14913]) ).
tff(c_15400,plain,
! [Z_253] : ( multiply(sk_c7,multiply(sk_c3,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14940]) ).
tff(c_15412,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14894,c_15400]) ).
tff(c_15452,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15412,c_15431]) ).
tff(c_15891,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15880,c_15880,c_15452]) ).
tff(c_15902,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15891]) ).
tff(c_15634,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15464,c_15482]) ).
tff(c_15647,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15634,c_15634,c_15412]) ).
tff(c_15656,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15309,c_15647]) ).
tff(c_15688,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15656,c_15656,c_15464]) ).
tff(c_15697,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15688]) ).
tff(c_15497,plain,
multiply(inverse(sk_c5),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_79,c_15431]) ).
tff(c_15710,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15697,c_15497]) ).
tff(c_15714,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15710]) ).
tff(c_15485,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14871,c_15431]) ).
tff(c_15689,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_15656,c_15485]) ).
tff(c_15698,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15497,c_15689]) ).
tff(c_15723,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15714,c_15698]) ).
tff(c_15696,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15656,c_14867]) ).
tff(c_15764,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15723,c_15697,c_15696]) ).
tff(c_15709,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15697,c_15656]) ).
tff(c_14960,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14880,c_58]) ).
tff(c_14961,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_14960]) ).
tff(c_15014,plain,
! [X_242,Z_243] : ( multiply(inverse(X_242),multiply(X_242,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14946]) ).
tff(c_15050,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14894,c_15014]) ).
tff(c_15082,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_15050]) ).
tff(c_15240,plain,
! [Z_247] : ( multiply(sk_c3,multiply(sk_c6,Z_247)) = multiply(sk_c7,Z_247) ),
inference(superposition,[status(thm),theory(equality)],[c_14894,c_14913]) ).
tff(c_15264,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_14880,c_15240]) ).
tff(c_15272,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15082,c_15264]) ).
tff(c_14957,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14946]) ).
tff(c_15276,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15272,c_14957]) ).
tff(c_15285,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_15276]) ).
tff(c_15287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14961,c_15285]) ).
tff(c_15288,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_14960]) ).
tff(c_15357,plain,
! [X2_251] :
( ( multiply(X2_251,sk_c5) != sk_c6 )
| ( inverse(X2_251) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_15288]) ).
tff(c_15364,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14899,c_15357]) ).
tff(c_15376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14867,c_15364]) ).
tff(c_15377,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15288]) ).
tff(c_15552,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_15377]) ).
tff(c_15664,plain,
! [X3_258] :
( ( inverse(X3_258) != sk_c6 )
| ( multiply(X3_258,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15634,c_15634,c_15552]) ).
tff(c_15685,plain,
inverse(identity) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2,c_15664]) ).
tff(c_15728,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15709,c_15685]) ).
tff(c_15786,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15764,c_15728]) ).
tff(c_15787,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15377]) ).
tff(c_15799,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15787]) ).
tff(c_15912,plain,
! [X1_260] :
( ( multiply(X1_260,sk_c6) != sk_c6 )
| ( inverse(X1_260) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15880,c_15880,c_15799]) ).
tff(c_15933,plain,
inverse(identity) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2,c_15912]) ).
tff(c_15967,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15902,c_15933]) ).
tff(c_15506,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_15431]) ).
tff(c_15901,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15880,c_14854]) ).
tff(c_15977,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15902,c_15901]) ).
tff(c_15503,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15431]) ).
tff(c_15981,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_15977,c_15503]) ).
tff(c_15990,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15506,c_15981]) ).
tff(c_15992,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15990,c_15977]) ).
tff(c_15994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15967,c_15992]) ).
tff(c_15996,plain,
! [X4_261] :
( ( inverse(X4_261) != sk_c5 )
| ( multiply(X4_261,sk_c5) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15787]) ).
tff(c_16011,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15996]) ).
tff(c_16019,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_16011]) ).
tff(c_15289,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_14960]) ).
tff(c_16058,plain,
! [Z_262] : ( multiply(sk_c3,multiply(sk_c6,Z_262)) = multiply(sk_c7,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_14894,c_14913]) ).
tff(c_16079,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_15309,c_16058]) ).
tff(c_16093,plain,
multiply(sk_c3,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15289,c_16079]) ).
tff(c_16085,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_14880,c_16058]) ).
tff(c_16094,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15412,c_16085]) ).
tff(c_16114,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16093,c_16094]) ).
tff(c_16162,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16114,c_15482]) ).
tff(c_16177,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16162]) ).
tff(c_16179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16019,c_16177]) ).
tff(c_16181,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_16011]) ).
tff(c_16007,plain,
( ( inverse(sk_c4) != sk_c5 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_14899,c_15996]) ).
tff(c_16016,plain,
( ( sk_c6 != sk_c5 )
| ( sk_c7 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14867,c_16007]) ).
tff(c_16017,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_16016]) ).
tff(c_16183,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16181,c_16017]) ).
tff(c_16185,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16181,c_16181,c_15412]) ).
tff(c_16193,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16185]) ).
tff(c_16198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16183,c_16193]) ).
tff(c_16199,plain,
sk_c6 != sk_c5,
inference(splitRight,[status(thm)],[c_16016]) ).
tff(c_16200,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_16016]) ).
tff(c_16202,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16200,c_16200,c_15412]) ).
tff(c_16210,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15309,c_16202]) ).
tff(c_16212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16199,c_16210]) ).
tff(c_16213,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_16214,plain,
inverse(sk_c2) != sk_c5,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_16279,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16214,c_56]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_16215,plain,
inverse(sk_c2) = sk_c5,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_16223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16214,c_16215]) ).
tff(c_16224,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_16236,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16224,c_4]) ).
tff(c_16294,plain,
! [X_264,Y_265,Z_266] : ( multiply(multiply(X_264,Y_265),Z_266) = multiply(X_264,multiply(Y_265,Z_266)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16321,plain,
! [Z_266] : ( multiply(sk_c6,multiply(sk_c4,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_16236,c_16294]) ).
tff(c_16614,plain,
! [Z_274] : ( multiply(sk_c6,multiply(sk_c4,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16321]) ).
tff(c_16626,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16279,c_16614]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_16263,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16214,c_52]) ).
tff(c_16229,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16213,c_4]) ).
tff(c_16324,plain,
! [Z_266] : ( multiply(sk_c7,multiply(sk_c3,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_16229,c_16294]) ).
tff(c_16637,plain,
! [Z_275] : ( multiply(sk_c7,multiply(sk_c3,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16324]) ).
tff(c_16649,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16263,c_16637]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_16274,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_16214,c_48]) ).
tff(c_17057,plain,
! [Z_284] : ( multiply(sk_c6,multiply(sk_c7,Z_284)) = multiply(sk_c5,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_16274,c_16294]) ).
tff(c_17081,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16649,c_17057]) ).
tff(c_17100,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16626,c_17081]) ).
tff(c_16343,plain,
! [Z_267] : ( multiply(sk_c6,multiply(sk_c4,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16321]) ).
tff(c_16355,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16279,c_16343]) ).
tff(c_16385,plain,
! [Z_269] : ( multiply(sk_c7,multiply(sk_c3,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16324]) ).
tff(c_16400,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16263,c_16385]) ).
tff(c_16312,plain,
! [Z_266] : ( multiply(sk_c6,multiply(sk_c7,Z_266)) = multiply(sk_c5,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_16274,c_16294]) ).
tff(c_16407,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16400,c_16312]) ).
tff(c_16413,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16355,c_16407]) ).
tff(c_16327,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16294]) ).
tff(c_16446,plain,
! [X_271,Z_272] : ( multiply(inverse(X_271),multiply(X_271,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16327]) ).
tff(c_16470,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16413,c_16446]) ).
tff(c_16525,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16470]) ).
tff(c_16533,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16525,c_16525,c_16400]) ).
tff(c_16543,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16533]) ).
tff(c_16551,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16543,c_16543,c_16355]) ).
tff(c_16557,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16551]) ).
tff(c_16341,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16274,c_58]) ).
tff(c_16342,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_16341]) ).
tff(c_16536,plain,
multiply(identity,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16525,c_16342]) ).
tff(c_16545,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16536]) ).
tff(c_16604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16557,c_16543,c_16545]) ).
tff(c_16606,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_16341]) ).
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_16695,plain,
! [Z_278] : ( multiply(sk_c7,multiply(sk_c6,Z_278)) = multiply(sk_c5,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_16606,c_6]) ).
tff(c_16707,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_16626,c_16695]) ).
tff(c_16713,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16274,c_16695]) ).
tff(c_16756,plain,
multiply(sk_c5,sk_c7) = multiply(sk_c5,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_16707,c_16713]) ).
tff(c_17151,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17100,c_16756]) ).
tff(c_17182,plain,
! [Z_285] : ( multiply(sk_c4,multiply(sk_c5,Z_285)) = multiply(sk_c6,Z_285) ),
inference(superposition,[status(thm),theory(equality)],[c_16279,c_16294]) ).
tff(c_17197,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_17151,c_17182]) ).
tff(c_17207,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16279,c_16626,c_17197]) ).
tff(c_17222,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17207,c_16263]) ).
tff(c_16605,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_16341]) ).
tff(c_16674,plain,
! [X2_277] :
( ( multiply(X2_277,sk_c5) != sk_c6 )
| ( inverse(X2_277) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_16605]) ).
tff(c_16681,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16279,c_16674]) ).
tff(c_16693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16224,c_16681]) ).
tff(c_16694,plain,
! [X1_8,X4_7,X3_6] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_16605]) ).
tff(c_16774,plain,
! [X3_280] :
( ( inverse(X3_280) != sk_c7 )
| ( multiply(X3_280,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_16694]) ).
tff(c_16795,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16774]) ).
tff(c_16797,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_16795]) ).
tff(c_16338,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = Z_266 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16327]) ).
tff(c_16800,plain,
! [X_281,Z_282] : ( multiply(inverse(X_281),multiply(X_281,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16327]) ).
tff(c_16818,plain,
multiply(inverse(sk_c5),multiply(sk_c5,sk_c6)) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16756,c_16800]) ).
tff(c_16885,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16338,c_16818]) ).
tff(c_16887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16797,c_16885]) ).
tff(c_16889,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_16795]) ).
tff(c_16896,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16889,c_16889,c_16649]) ).
tff(c_16906,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16626,c_16896]) ).
tff(c_16913,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16906,c_16889]) ).
tff(c_16888,plain,
inverse(identity) != sk_c7,
inference(splitRight,[status(thm)],[c_16795]) ).
tff(c_16937,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16913,c_16888]) ).
tff(c_16918,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16906,c_16224]) ).
tff(c_16949,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16918,c_4]) ).
tff(c_16716,plain,
multiply(sk_c7,identity) = multiply(sk_c5,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_16236,c_16695]) ).
tff(c_16895,plain,
multiply(sk_c6,identity) = multiply(sk_c5,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_16889,c_16716]) ).
tff(c_17007,plain,
multiply(sk_c5,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16949,c_16906,c_16895]) ).
tff(c_17011,plain,
! [Z_5] : ( multiply(sk_c5,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_17007,c_6]) ).
tff(c_17018,plain,
! [Z_283] : ( multiply(sk_c5,Z_283) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_17011]) ).
tff(c_17024,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_17018,c_16949]) ).
tff(c_17051,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_17024,c_16918]) ).
tff(c_17055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16937,c_17051]) ).
tff(c_17056,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c7 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16694]) ).
tff(c_17150,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17056]) ).
tff(c_17253,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c5) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17207,c_17150]) ).
tff(c_17300,plain,
inverse(sk_c3) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17222,c_17253]) ).
tff(c_17312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16213,c_17300]) ).
tff(c_17334,plain,
! [X4_287] :
( ( inverse(X4_287) != sk_c5 )
| ( multiply(X4_287,sk_c5) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17056]) ).
tff(c_17348,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17334]) ).
tff(c_17380,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_17348]) ).
tff(c_17382,plain,
! [X_288,Z_289] : ( multiply(inverse(X_288),multiply(X_288,Z_289)) = Z_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16327]) ).
tff(c_17418,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17100,c_17382]) ).
tff(c_17488,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17418]) ).
tff(c_17490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17380,c_17488]) ).
tff(c_17492,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_17348]) ).
tff(c_17344,plain,
( ( inverse(sk_c4) != sk_c5 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16279,c_17334]) ).
tff(c_17353,plain,
( ( sk_c6 != sk_c5 )
| ( sk_c7 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16224,c_17344]) ).
tff(c_17354,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_17353]) ).
tff(c_17495,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17492,c_17354]) ).
tff(c_17501,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17492,c_17492,c_16649]) ).
tff(c_17514,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17501]) ).
tff(c_17547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17495,c_17514]) ).
tff(c_17548,plain,
sk_c6 != sk_c5,
inference(splitRight,[status(thm)],[c_17353]) ).
tff(c_17549,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_17353]) ).
tff(c_17555,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17549,c_17549,c_16649]) ).
tff(c_17567,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_16626,c_17555]) ).
tff(c_17569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17548,c_17567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP291-1 : 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
% 0.18/0.35 % Computer : n011.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 22:14:06 EDT 2023
% 0.18/0.36 % CPUTime :
% 9.72/3.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.72/3.53
% 9.72/3.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.72/3.62
% 9.72/3.62 Inference rules
% 9.72/3.62 ----------------------
% 9.72/3.62 #Ref : 0
% 9.72/3.62 #Sup : 4513
% 9.72/3.62 #Fact : 0
% 9.72/3.62 #Define : 0
% 9.72/3.62 #Split : 45
% 9.72/3.62 #Chain : 0
% 9.72/3.62 #Close : 0
% 9.72/3.62
% 9.72/3.62 Ordering : KBO
% 9.72/3.62
% 9.72/3.62 Simplification rules
% 9.72/3.62 ----------------------
% 9.72/3.63 #Subsume : 14
% 9.72/3.63 #Demod : 7925
% 9.72/3.63 #Tautology : 3372
% 9.72/3.63 #SimpNegUnit : 60
% 9.72/3.63 #BackRed : 573
% 9.72/3.63
% 9.72/3.63 #Partial instantiations: 0
% 9.72/3.63 #Strategies tried : 1
% 9.72/3.63
% 9.72/3.63 Timing (in seconds)
% 9.72/3.63 ----------------------
% 9.72/3.63 Preprocessing : 0.52
% 9.72/3.63 Parsing : 0.23
% 9.72/3.63 CNF conversion : 0.03
% 9.72/3.63 Main loop : 1.83
% 9.72/3.63 Inferencing : 0.62
% 9.72/3.63 Reduction : 0.76
% 9.72/3.63 Demodulation : 0.63
% 9.72/3.63 BG Simplification : 0.06
% 9.72/3.63 Subsumption : 0.23
% 9.72/3.63 Abstraction : 0.09
% 9.72/3.63 MUC search : 0.00
% 9.72/3.63 Cooper : 0.00
% 9.72/3.63 Total : 2.57
% 9.72/3.63 Index Insertion : 0.00
% 9.72/3.63 Index Deletion : 0.00
% 9.72/3.63 Index Matching : 0.00
% 9.72/3.63 BG Taut test : 0.00
%------------------------------------------------------------------------------