TSTP Solution File: GRP268-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP268-1 : 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 : n016.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 10:40:43 EDT 2023
% Result : Unsatisfiable 23.65s 13.75s
% Output : CNFRefutation 23.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 673 ( 552 unt; 11 typ; 0 def)
% Number of atoms : 909 ( 870 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 578 ( 331 ~; 247 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 371 (; 371 !; 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_98,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c4 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(X2,sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( inverse(X3) != sk_c6 )
| ( multiply(sk_c6,X4) != sk_c7 )
| ( multiply(X5,sk_c6) != X4 )
| ( inverse(X5) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c7 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c4 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c6,sk_c4) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c5) = 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_92818,plain,
! [X_739,Y_740,Z_741] : ( multiply(multiply(X_739,Y_740),Z_741) = multiply(X_739,multiply(Y_740,Z_741)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_92842,plain,
! [X_2,Z_741] : ( multiply(inverse(X_2),multiply(X_2,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_92818]) ).
tff(c_92968,plain,
! [X_747,Z_748] : ( multiply(inverse(X_747),multiply(X_747,Z_748)) = Z_748 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92842]) ).
tff(c_92852,plain,
! [X_2,Z_741] : ( multiply(inverse(X_2),multiply(X_2,Z_741)) = Z_741 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92842]) ).
tff(c_94354,plain,
! [X_769,Z_770] : ( multiply(inverse(inverse(X_769)),Z_770) = multiply(X_769,Z_770) ),
inference(superposition,[status(thm),theory(equality)],[c_92968,c_92852]) ).
tff(c_93022,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_92968]) ).
tff(c_94364,plain,
! [X_769] : ( multiply(X_769,identity) = X_769 ),
inference(superposition,[status(thm),theory(equality)],[c_94354,c_93022]) ).
tff(c_87473,plain,
! [X_658,Y_659,Z_660] : ( multiply(multiply(X_658,Y_659),Z_660) = multiply(X_658,multiply(Y_659,Z_660)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_87500,plain,
! [X_2,Z_660] : ( multiply(inverse(X_2),multiply(X_2,Z_660)) = multiply(identity,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_87473]) ).
tff(c_90494,plain,
! [X_707,Z_708] : ( multiply(inverse(X_707),multiply(X_707,Z_708)) = Z_708 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87500]) ).
tff(c_87511,plain,
! [X_2,Z_660] : ( multiply(inverse(X_2),multiply(X_2,Z_660)) = Z_660 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87500]) ).
tff(c_90612,plain,
! [X_710,Z_711] : ( multiply(inverse(inverse(X_710)),Z_711) = multiply(X_710,Z_711) ),
inference(superposition,[status(thm),theory(equality)],[c_90494,c_87511]) ).
tff(c_90533,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_90494]) ).
tff(c_90622,plain,
! [X_710] : ( multiply(X_710,identity) = X_710 ),
inference(superposition,[status(thm),theory(equality)],[c_90612,c_90533]) ).
tff(c_30,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_67,plain,
inverse(sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_71,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_67,c_4]) ).
tff(c_19480,plain,
! [X_308,Y_309,Z_310] : ( multiply(multiply(X_308,Y_309),Z_310) = multiply(X_308,multiply(Y_309,Z_310)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19507,plain,
! [Z_310] : ( multiply(sk_c6,multiply(sk_c2,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_19480]) ).
tff(c_19521,plain,
! [Z_310] : ( multiply(sk_c6,multiply(sk_c2,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19507]) ).
tff(c_19782,plain,
! [Z_320] : ( multiply(sk_c6,multiply(sk_c2,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19507]) ).
tff(c_18486,plain,
! [X_281,Y_282,Z_283] : ( multiply(multiply(X_281,Y_282),Z_283) = multiply(X_281,multiply(Y_282,Z_283)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18513,plain,
! [Z_283] : ( multiply(sk_c6,multiply(sk_c2,Z_283)) = multiply(identity,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_18486]) ).
tff(c_18527,plain,
! [Z_283] : ( multiply(sk_c6,multiply(sk_c2,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18513]) ).
tff(c_17665,plain,
! [X_259,Y_260,Z_261] : ( multiply(multiply(X_259,Y_260),Z_261) = multiply(X_259,multiply(Y_260,Z_261)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17695,plain,
! [Z_261] : ( multiply(sk_c6,multiply(sk_c2,Z_261)) = multiply(identity,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_17665]) ).
tff(c_17710,plain,
! [Z_261] : ( multiply(sk_c6,multiply(sk_c2,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17695]) ).
tff(c_10655,plain,
! [X_169,Y_170,Z_171] : ( multiply(multiply(X_169,Y_170),Z_171) = multiply(X_169,multiply(Y_170,Z_171)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10694,plain,
! [X_2,Z_171] : ( multiply(inverse(X_2),multiply(X_2,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10655]) ).
tff(c_10707,plain,
! [X_2,Z_171] : ( multiply(inverse(X_2),multiply(X_2,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10694]) ).
tff(c_12300,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10694]) ).
tff(c_12570,plain,
! [X_207,Z_208] : ( multiply(inverse(inverse(X_207)),Z_208) = multiply(X_207,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_10707,c_12300]) ).
tff(c_12345,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12300]) ).
tff(c_12580,plain,
! [X_207] : ( multiply(X_207,identity) = X_207 ),
inference(superposition,[status(thm),theory(equality)],[c_12570,c_12345]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_9412,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_107,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_92,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_96,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_92,c_4]) ).
tff(c_8465,plain,
! [X_110,Y_111,Z_112] : ( multiply(multiply(X_110,Y_111),Z_112) = multiply(X_110,multiply(Y_111,Z_112)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8498,plain,
! [Z_112] : ( multiply(sk_c6,multiply(sk_c3,Z_112)) = multiply(identity,Z_112) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_8465]) ).
tff(c_8522,plain,
! [Z_113] : ( multiply(sk_c6,multiply(sk_c3,Z_113)) = Z_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8498]) ).
tff(c_8534,plain,
multiply(sk_c6,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_107,c_8522]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c6,sk_c4) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_118,plain,
multiply(sk_c6,sk_c4) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_8623,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8534,c_118]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_79,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_137,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_164,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c3,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_137]) ).
tff(c_186,plain,
! [Z_16] : ( multiply(sk_c6,multiply(sk_c3,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_198,plain,
multiply(sk_c6,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_107,c_186]) ).
tff(c_551,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_198,c_118]) ).
tff(c_203,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_198,c_118]) ).
tff(c_12,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_124,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_212,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_203,c_124]) ).
tff(c_173,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_137]) ).
tff(c_287,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_311,plain,
multiply(inverse(sk_c1),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_212,c_287]) ).
tff(c_358,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_311]) ).
tff(c_184,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_442,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_358,c_184]) ).
tff(c_448,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_442]) ).
tff(c_50,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_202,plain,
inverse(sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_211,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_203,c_202]) ).
tff(c_456,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_448,c_448,c_211]) ).
tff(c_460,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_448,c_92]) ).
tff(c_478,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_460,c_4]) ).
tff(c_514,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_478,c_184]) ).
tff(c_526,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_514]) ).
tff(c_530,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_526,c_460]) ).
tff(c_533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_530]) ).
tff(c_535,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_560,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_535]) ).
tff(c_1344,plain,
! [X_37,Z_38] : ( multiply(inverse(X_37),multiply(X_37,Z_38)) = Z_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_1389,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_1344]) ).
tff(c_1407,plain,
multiply(sk_c6,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_560,c_1389]) ).
tff(c_1365,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_198,c_1344]) ).
tff(c_1402,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1365]) ).
tff(c_1408,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_1402,c_198]) ).
tff(c_1483,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1407,c_1408]) ).
tff(c_561,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_124]) ).
tff(c_1428,plain,
multiply(inverse(sk_c1),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_561,c_184]) ).
tff(c_1434,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1428]) ).
tff(c_1553,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_1483,c_1434]) ).
tff(c_1557,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1553,c_184]) ).
tff(c_1563,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1557]) ).
tff(c_1486,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1483,c_561]) ).
tff(c_1626,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1563,c_1486]) ).
tff(c_1570,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1563,c_1483]) ).
tff(c_1761,plain,
! [X_43,Z_44] : ( multiply(inverse(inverse(X_43)),Z_44) = multiply(X_43,Z_44) ),
inference(superposition,[status(thm),theory(equality)],[c_1344,c_184]) ).
tff(c_1395,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1344]) ).
tff(c_1771,plain,
! [X_43] : ( multiply(X_43,identity) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1761,c_1395]) ).
tff(c_572,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_560,c_4]) ).
tff(c_22,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_112,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_562,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_112]) ).
tff(c_170,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_137]) ).
tff(c_599,plain,
! [Z_23] : ( multiply(sk_c6,multiply(sk_c2,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_170]) ).
tff(c_611,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_562,c_599]) ).
tff(c_615,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_572,c_611]) ).
tff(c_618,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_615,c_561]) ).
tff(c_534,plain,
! [X2_9,X3_7,X5_6,X1_8] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_567,plain,
! [X2_9,X3_7,X5_6,X1_8] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_551,c_551,c_551,c_551,c_534]) ).
tff(c_568,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_567]) ).
tff(c_1316,plain,
! [X1_36] :
( ( inverse(X1_36) != sk_c8 )
| ( multiply(X1_36,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_615,c_568]) ).
tff(c_1319,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_618,c_1316]) ).
tff(c_1335,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1319]) ).
tff(c_1336,plain,
! [X5_6,X3_7,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_567]) ).
tff(c_8367,plain,
! [X5_6,X3_7,X2_9] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1570,c_1771,c_1570,c_1570,c_1570,c_1771,c_1570,c_1570,c_2,c_1570,c_1570,c_1336]) ).
tff(c_8369,plain,
! [X2_109] :
( ( inverse(X2_109) != sk_c8 )
| ( multiply(X2_109,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_8367]) ).
tff(c_8397,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_1626,c_8369]) ).
tff(c_8418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_8397]) ).
tff(c_8419,plain,
! [X3_7,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_8367]) ).
tff(c_8421,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8419]) ).
tff(c_1491,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1483,c_67]) ).
tff(c_1567,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1563,c_1563,c_1491]) ).
tff(c_8423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8421,c_1567]) ).
tff(c_8426,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8419]) ).
tff(c_8428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8426,c_1567]) ).
tff(c_8429,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8634,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8623,c_8429]) ).
tff(c_8643,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8634,c_4]) ).
tff(c_8635,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8623,c_112]) ).
tff(c_8504,plain,
! [Z_112] : ( multiply(sk_c6,multiply(sk_c2,Z_112)) = multiply(identity,Z_112) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_8465]) ).
tff(c_8685,plain,
! [Z_117] : ( multiply(sk_c6,multiply(sk_c2,Z_117)) = Z_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8504]) ).
tff(c_8697,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_8635,c_8685]) ).
tff(c_8701,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8643,c_8697]) ).
tff(c_8430,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8633,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8623,c_8430]) ).
tff(c_8704,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8701,c_8633]) ).
tff(c_83,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_79,c_4]) ).
tff(c_8507,plain,
! [X_2,Z_112] : ( multiply(inverse(X_2),multiply(X_2,Z_112)) = multiply(identity,Z_112) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8465]) ).
tff(c_8775,plain,
! [X_119,Z_120] : ( multiply(inverse(X_119),multiply(X_119,Z_120)) = Z_120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8507]) ).
tff(c_8820,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_83,c_8775]) ).
tff(c_10,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_8443,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_8430,c_10]) ).
tff(c_8447,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8443,c_4]) ).
tff(c_8814,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_8447,c_8775]) ).
tff(c_8942,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8820,c_8814]) ).
tff(c_8,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_8458,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8430,c_8]) ).
tff(c_8631,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8623,c_8458]) ).
tff(c_8703,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8701,c_8631]) ).
tff(c_8943,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8942,c_8703]) ).
tff(c_8947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8704,c_8943]) ).
tff(c_8949,plain,
multiply(sk_c6,sk_c4) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c4) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_8957,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8949,c_36]) ).
tff(c_8961,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8957,c_4]) ).
tff(c_8990,plain,
! [X_122,Y_123,Z_124] : ( multiply(multiply(X_122,Y_123),Z_124) = multiply(X_122,multiply(Y_123,Z_124)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9029,plain,
! [Z_124] : ( multiply(sk_c6,multiply(sk_c2,Z_124)) = multiply(identity,Z_124) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_8990]) ).
tff(c_9121,plain,
! [Z_128] : ( multiply(sk_c6,multiply(sk_c2,Z_128)) = Z_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9029]) ).
tff(c_9133,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_112,c_9121]) ).
tff(c_9011,plain,
! [Z_124] : ( multiply(sk_c7,multiply(sk_c6,Z_124)) = multiply(identity,Z_124) ),
inference(superposition,[status(thm),theory(equality)],[c_8961,c_8990]) ).
tff(c_9236,plain,
! [Z_132] : ( multiply(sk_c7,multiply(sk_c6,Z_132)) = Z_132 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9011]) ).
tff(c_9254,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9133,c_9236]) ).
tff(c_9268,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8961,c_9254]) ).
tff(c_9023,plain,
! [Z_124] : ( multiply(sk_c6,multiply(sk_c3,Z_124)) = multiply(identity,Z_124) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_8990]) ).
tff(c_9144,plain,
! [Z_129] : ( multiply(sk_c6,multiply(sk_c3,Z_129)) = Z_129 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9023]) ).
tff(c_9156,plain,
multiply(sk_c6,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_107,c_9144]) ).
tff(c_9179,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9156,c_8949]) ).
tff(c_9312,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9268,c_9179]) ).
tff(c_9317,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9268,c_8961]) ).
tff(c_9401,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_9317,c_2]) ).
tff(c_9409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9312,c_9401]) ).
tff(c_9411,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_9425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9412,c_9411]) ).
tff(c_9426,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_9438,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9426,c_4]) ).
tff(c_9465,plain,
! [X_136,Y_137,Z_138] : ( multiply(multiply(X_136,Y_137),Z_138) = multiply(X_136,multiply(Y_137,Z_138)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9486,plain,
! [Z_138] : ( multiply(sk_c7,multiply(sk_c6,Z_138)) = multiply(identity,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_9438,c_9465]) ).
tff(c_9709,plain,
! [Z_145] : ( multiply(sk_c7,multiply(sk_c6,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9486]) ).
tff(c_9733,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_9709]) ).
tff(c_9730,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_96,c_9709]) ).
tff(c_9783,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9733,c_9730]) ).
tff(c_9492,plain,
! [Z_138] : ( multiply(sk_c6,multiply(sk_c3,Z_138)) = multiply(identity,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_9465]) ).
tff(c_9516,plain,
! [Z_139] : ( multiply(sk_c6,multiply(sk_c3,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9492]) ).
tff(c_9528,plain,
multiply(sk_c6,sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_107,c_9516]) ).
tff(c_9724,plain,
multiply(sk_c7,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_9528,c_9709]) ).
tff(c_9737,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9438,c_9724]) ).
tff(c_9739,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9737,c_107]) ).
tff(c_9815,plain,
multiply(sk_c2,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9783,c_9739]) ).
tff(c_9427,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_9816,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9815,c_9427]) ).
tff(c_9498,plain,
! [Z_138] : ( multiply(sk_c6,multiply(sk_c2,Z_138)) = multiply(identity,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_9465]) ).
tff(c_9513,plain,
! [Z_138] : ( multiply(sk_c6,multiply(sk_c2,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9498]) ).
tff(c_9721,plain,
! [Z_138] : ( multiply(sk_c7,Z_138) = multiply(sk_c2,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_9513,c_9709]) ).
tff(c_10086,plain,
! [Z_153] : ( multiply(sk_c7,Z_153) = multiply(sk_c2,Z_153) ),
inference(superposition,[status(thm),theory(equality)],[c_9513,c_9709]) ).
tff(c_20,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_9457,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9427,c_20]) ).
tff(c_9410,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_9431,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9410,c_4]) ).
tff(c_9483,plain,
! [Z_138] : ( multiply(sk_c8,multiply(sk_c5,Z_138)) = multiply(identity,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_9431,c_9465]) ).
tff(c_10005,plain,
! [Z_151] : ( multiply(sk_c8,multiply(sk_c5,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9483]) ).
tff(c_10017,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9457,c_10005]) ).
tff(c_9480,plain,
! [Z_138] : ( multiply(sk_c5,multiply(sk_c8,Z_138)) = multiply(sk_c7,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_9457,c_9465]) ).
tff(c_10052,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_10017,c_9480]) ).
tff(c_10058,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9457,c_10052]) ).
tff(c_10092,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10086,c_10058]) ).
tff(c_10131,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10092,c_9513]) ).
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_10146,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_10131,c_6]) ).
tff(c_10157,plain,
! [Z_154] : ( multiply(sk_c2,Z_154) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_9721,c_9513,c_9721,c_10146]) ).
tff(c_10163,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_10157,c_9815]) ).
tff(c_10150,plain,
! [Z_5] : ( multiply(sk_c2,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_9721,c_9513,c_9721,c_10146]) ).
tff(c_9489,plain,
! [Z_138] : ( multiply(sk_c3,multiply(sk_c6,Z_138)) = multiply(sk_c4,Z_138) ),
inference(superposition,[status(thm),theory(equality)],[c_107,c_9465]) ).
tff(c_9753,plain,
! [Z_146] : ( multiply(sk_c3,multiply(sk_c6,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9737,c_9489]) ).
tff(c_9774,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_96,c_9753]) ).
tff(c_9991,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9783,c_9783,c_9774]) ).
tff(c_10155,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10150,c_9991]) ).
tff(c_10181,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10155,c_67]) ).
tff(c_10218,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10163,c_10181]) ).
tff(c_10195,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10163,c_9426]) ).
tff(c_10227,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10218,c_10195]) ).
tff(c_10228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9816,c_10227]) ).
tff(c_10230,plain,
multiply(sk_c3,sk_c6) != sk_c4,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_10255,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10230,c_42]) ).
tff(c_10259,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10255,c_4]) ).
tff(c_10243,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_10278,plain,
! [X_156,Y_157,Z_158] : ( multiply(multiply(X_156,Y_157),Z_158) = multiply(X_156,multiply(Y_157,Z_158)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10314,plain,
! [Z_158] : ( multiply(sk_c6,multiply(sk_c2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_10278]) ).
tff(c_10441,plain,
! [Z_165] : ( multiply(sk_c6,multiply(sk_c2,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10314]) ).
tff(c_10453,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10243,c_10441]) ).
tff(c_10296,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c6,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_10259,c_10278]) ).
tff(c_10500,plain,
! [Z_168] : ( multiply(sk_c7,multiply(sk_c6,Z_168)) = Z_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10296]) ).
tff(c_10515,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10453,c_10500]) ).
tff(c_10534,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10259,c_10515]) ).
tff(c_10250,plain,
multiply(sk_c6,sk_c4) = sk_c7,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_10524,plain,
multiply(sk_c7,sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_10250,c_10500]) ).
tff(c_10594,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10534,c_2,c_10534,c_10524]) ).
tff(c_10527,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_96,c_10500]) ).
tff(c_10574,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10534,c_10527]) ).
tff(c_10576,plain,
multiply(identity,sk_c6) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_10574,c_10230]) ).
tff(c_10580,plain,
sk_c6 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10576]) ).
tff(c_10595,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10594,c_10580]) ).
tff(c_10540,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10534,c_10259]) ).
tff(c_10614,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_10540,c_2]) ).
tff(c_10622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10595,c_10614]) ).
tff(c_10623,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_10628,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10623,c_4]) ).
tff(c_10691,plain,
! [Z_171] : ( multiply(sk_c6,multiply(sk_c2,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_10655]) ).
tff(c_10835,plain,
! [Z_178] : ( multiply(sk_c6,multiply(sk_c2,Z_178)) = Z_178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10691]) ).
tff(c_10847,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10243,c_10835]) ).
tff(c_10676,plain,
! [Z_171] : ( multiply(sk_c7,multiply(sk_c6,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_10628,c_10655]) ).
tff(c_11087,plain,
! [Z_183] : ( multiply(sk_c7,multiply(sk_c6,Z_183)) = Z_183 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10676]) ).
tff(c_11099,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10847,c_11087]) ).
tff(c_11115,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10628,c_11099]) ).
tff(c_11111,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_11087]) ).
tff(c_11144,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11115,c_11111]) ).
tff(c_11128,plain,
multiply(sk_c2,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11115,c_10243]) ).
tff(c_12378,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11144,c_11128]) ).
tff(c_11207,plain,
! [X_184,Z_185] : ( multiply(inverse(X_184),multiply(X_184,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10694]) ).
tff(c_11448,plain,
! [X_188,Z_189] : ( multiply(inverse(inverse(X_188)),Z_189) = multiply(X_188,Z_189) ),
inference(superposition,[status(thm),theory(equality)],[c_11207,c_10707]) ).
tff(c_11249,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11207]) ).
tff(c_11458,plain,
! [X_188] : ( multiply(X_188,identity) = X_188 ),
inference(superposition,[status(thm),theory(equality)],[c_11448,c_11249]) ).
tff(c_11127,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11115,c_10623]) ).
tff(c_11140,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11127,c_4]) ).
tff(c_11180,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_11140,c_2]) ).
tff(c_10229,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_10931,plain,
! [Z_181] : ( multiply(sk_c7,multiply(sk_c6,Z_181)) = Z_181 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10676]) ).
tff(c_10943,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10847,c_10931]) ).
tff(c_10959,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10628,c_10943]) ).
tff(c_10624,plain,
multiply(sk_c6,sk_c4) != sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c4) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_10648,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10624,c_32]) ).
tff(c_10967,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10959,c_10648]) ).
tff(c_10723,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10623,c_50]) ).
tff(c_10788,plain,
! [X2_176] :
( ( inverse(X2_176) != sk_c8 )
| ( multiply(X2_176,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10723]) ).
tff(c_10795,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10648,c_10788]) ).
tff(c_10810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10229,c_10795]) ).
tff(c_10811,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10723]) ).
tff(c_10930,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_10811]) ).
tff(c_11039,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10959,c_10930]) ).
tff(c_11073,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10967,c_11039]) ).
tff(c_11085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10229,c_11073]) ).
tff(c_11086,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10811]) ).
tff(c_11153,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != identity )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11115,c_11115,c_11086]) ).
tff(c_11154,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(splitLeft,[status(thm)],[c_11153]) ).
tff(c_12277,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11458,c_11180,c_11180,c_11154]) ).
tff(c_11147,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11144,c_67]) ).
tff(c_11190,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11180,c_11147]) ).
tff(c_12279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12277,c_11190]) ).
tff(c_12280,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != identity ) ),
inference(splitRight,[status(thm)],[c_11153]) ).
tff(c_17632,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12580,c_12378,c_2,c_12378,c_12378,c_12280]) ).
tff(c_12381,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12378,c_11147]) ).
tff(c_17634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17632,c_12381]) ).
tff(c_17635,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_17641,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17635,c_4]) ).
tff(c_17683,plain,
! [Z_261] : ( multiply(sk_c7,multiply(sk_c6,Z_261)) = multiply(identity,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_17641,c_17665]) ).
tff(c_17975,plain,
! [Z_273] : ( multiply(sk_c7,multiply(sk_c6,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17683]) ).
tff(c_18236,plain,
! [Z_278] : ( multiply(sk_c7,Z_278) = multiply(sk_c2,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_17710,c_17975]) ).
tff(c_18254,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18236,c_17641]) ).
tff(c_17636,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_18286,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18254,c_17636]) ).
tff(c_17996,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_17975]) ).
tff(c_18242,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_18236,c_17996]) ).
tff(c_17987,plain,
! [Z_261] : ( multiply(sk_c7,Z_261) = multiply(sk_c2,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_17710,c_17975]) ).
tff(c_17656,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17636,c_20]) ).
tff(c_10234,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10229,c_4]) ).
tff(c_17686,plain,
! [Z_261] : ( multiply(sk_c8,multiply(sk_c5,Z_261)) = multiply(identity,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_10234,c_17665]) ).
tff(c_17905,plain,
! [Z_271] : ( multiply(sk_c8,multiply(sk_c5,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17686]) ).
tff(c_17917,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17656,c_17905]) ).
tff(c_17680,plain,
! [Z_261] : ( multiply(sk_c5,multiply(sk_c8,Z_261)) = multiply(sk_c7,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_17656,c_17665]) ).
tff(c_17952,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_17917,c_17680]) ).
tff(c_17958,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17656,c_17952]) ).
tff(c_17963,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_17958,c_6]) ).
tff(c_18302,plain,
! [Z_279] : ( multiply(sk_c2,multiply(sk_c2,Z_279)) = multiply(sk_c2,Z_279) ),
inference(demodulation,[status(thm),theory(equality)],[c_17987,c_17987,c_17987,c_17963]) ).
tff(c_18323,plain,
multiply(sk_c2,sk_c6) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_18254,c_18302]) ).
tff(c_18333,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18254,c_18242,c_18323]) ).
tff(c_18343,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18333,c_67]) ).
tff(c_18359,plain,
multiply(sk_c6,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18343,c_4]) ).
tff(c_18290,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18254,c_17710]) ).
tff(c_18404,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18359,c_18290]) ).
tff(c_18420,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18404,c_18343]) ).
tff(c_18423,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18404,c_17635]) ).
tff(c_18439,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18420,c_18423]) ).
tff(c_18440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18286,c_18439]) ).
tff(c_18442,plain,
inverse(sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_18455,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18442,c_48]) ).
tff(c_18459,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18455,c_4]) ).
tff(c_18504,plain,
! [Z_283] : ( multiply(sk_c7,multiply(sk_c6,Z_283)) = multiply(identity,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_18459,c_18486]) ).
tff(c_18773,plain,
! [Z_294] : ( multiply(sk_c7,multiply(sk_c6,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18504]) ).
tff(c_18946,plain,
! [Z_298] : ( multiply(sk_c7,Z_298) = multiply(sk_c2,Z_298) ),
inference(superposition,[status(thm),theory(equality)],[c_18527,c_18773]) ).
tff(c_18788,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_18773]) ).
tff(c_18952,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_18946,c_18788]) ).
tff(c_18979,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18459,c_18946]) ).
tff(c_18785,plain,
! [Z_283] : ( multiply(sk_c7,Z_283) = multiply(sk_c2,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_18527,c_18773]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_18475,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18442,c_44]) ).
tff(c_18441,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_18446,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18441,c_4]) ).
tff(c_18507,plain,
! [Z_283] : ( multiply(sk_c8,multiply(sk_c5,Z_283)) = multiply(identity,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_18446,c_18486]) ).
tff(c_18703,plain,
! [Z_292] : ( multiply(sk_c8,multiply(sk_c5,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18507]) ).
tff(c_18715,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18475,c_18703]) ).
tff(c_18501,plain,
! [Z_283] : ( multiply(sk_c5,multiply(sk_c8,Z_283)) = multiply(sk_c7,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_18475,c_18486]) ).
tff(c_18750,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_18715,c_18501]) ).
tff(c_18756,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18475,c_18750]) ).
tff(c_18761,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_18756,c_6]) ).
tff(c_19186,plain,
! [Z_303] : ( multiply(sk_c2,multiply(sk_c2,Z_303)) = multiply(sk_c2,Z_303) ),
inference(demodulation,[status(thm),theory(equality)],[c_18785,c_18785,c_18785,c_18761]) ).
tff(c_19213,plain,
multiply(sk_c2,sk_c6) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_18979,c_19186]) ).
tff(c_19225,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18952,c_18979,c_19213]) ).
tff(c_19234,plain,
! [Z_283] : ( multiply(sk_c6,multiply(identity,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_19225,c_18527]) ).
tff(c_19242,plain,
! [Z_283] : ( multiply(sk_c6,Z_283) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19234]) ).
tff(c_19018,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18979,c_18527]) ).
tff(c_19301,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19242,c_19018]) ).
tff(c_19236,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19225,c_67]) ).
tff(c_19317,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19301,c_19236]) ).
tff(c_19319,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19301,c_18455]) ).
tff(c_19334,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19317,c_19319]) ).
tff(c_18976,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18756,c_18946]) ).
tff(c_19034,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18976,c_18527]) ).
tff(c_19063,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_19034,c_6]) ).
tff(c_19074,plain,
! [Z_300] : ( multiply(sk_c2,Z_300) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_18785,c_18527,c_18785,c_19063]) ).
tff(c_19089,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_18979,c_19074]) ).
tff(c_19093,plain,
! [Z_301] : ( multiply(sk_c7,multiply(sk_c7,Z_301)) = multiply(sk_c7,Z_301) ),
inference(superposition,[status(thm),theory(equality)],[c_18756,c_6]) ).
tff(c_19120,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_18459,c_19093]) ).
tff(c_19129,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18459,c_18788,c_19120]) ).
tff(c_19134,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19129,c_67]) ).
tff(c_19155,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19089,c_19134]) ).
tff(c_18531,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18455,c_50]) ).
tff(c_18656,plain,
! [X2_289] :
( ( inverse(X2_289) != sk_c8 )
| ( multiply(X2_289,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_18531]) ).
tff(c_18663,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18475,c_18656]) ).
tff(c_18675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18441,c_18663]) ).
tff(c_18676,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18531]) ).
tff(c_18910,plain,
! [X1_297] :
( ( inverse(X1_297) != sk_c8 )
| ( multiply(X1_297,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_18676]) ).
tff(c_18921,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18475,c_18910]) ).
tff(c_18933,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18441,c_18921]) ).
tff(c_18934,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18676]) ).
tff(c_19044,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_18934]) ).
tff(c_19165,plain,
! [X3_302] :
( ( inverse(X3_302) != identity )
| ( multiply(X3_302,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19089,c_19089,c_19044]) ).
tff(c_19173,plain,
( ( inverse(inverse(identity)) != identity )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19165]) ).
tff(c_19179,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19155,c_19155,c_19173]) ).
tff(c_19145,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19089,c_18455]) ).
tff(c_19182,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19155,c_19145]) ).
tff(c_19183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19179,c_19182]) ).
tff(c_19278,plain,
! [X5_304] :
( ( inverse(X5_304) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_304,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18934]) ).
tff(c_19293,plain,
( ( inverse(identity) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19278]) ).
tff(c_19297,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19236,c_19293]) ).
tff(c_19421,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19334,c_19301,c_2,c_19301,c_19297]) ).
tff(c_19422,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_19427,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19422,c_4]) ).
tff(c_19504,plain,
! [Z_310] : ( multiply(sk_c7,multiply(sk_c6,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_19427,c_19480]) ).
tff(c_19520,plain,
! [Z_310] : ( multiply(sk_c7,multiply(sk_c6,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19504]) ).
tff(c_19788,plain,
! [Z_320] : ( multiply(sk_c7,Z_320) = multiply(sk_c2,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_19782,c_19520]) ).
tff(c_19938,plain,
! [Z_324] : ( multiply(sk_c7,Z_324) = multiply(sk_c2,Z_324) ),
inference(superposition,[status(thm),theory(equality)],[c_19782,c_19520]) ).
tff(c_19423,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_19461,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19423,c_14]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_19448,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_19423,c_16]) ).
tff(c_19452,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19448,c_4]) ).
tff(c_19498,plain,
! [Z_310] : ( multiply(sk_c8,multiply(sk_c5,Z_310)) = multiply(identity,Z_310) ),
inference(superposition,[status(thm),theory(equality)],[c_19452,c_19480]) ).
tff(c_19524,plain,
! [Z_311] : ( multiply(sk_c8,multiply(sk_c5,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19498]) ).
tff(c_19536,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19461,c_19524]) ).
tff(c_19723,plain,
! [Z_319] : ( multiply(sk_c5,multiply(sk_c8,Z_319)) = multiply(sk_c7,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_19461,c_19480]) ).
tff(c_19738,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_19536,c_19723]) ).
tff(c_19748,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19461,c_19738]) ).
tff(c_19944,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19938,c_19748]) ).
tff(c_20026,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19944,c_19521]) ).
tff(c_20191,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_20026,c_6]) ).
tff(c_20202,plain,
! [Z_329] : ( multiply(sk_c2,Z_329) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_19521,c_19788,c_19788,c_20191]) ).
tff(c_19956,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19938,c_19427]) ).
tff(c_20208,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_20202,c_19956]) ).
tff(c_20195,plain,
! [Z_5] : ( multiply(sk_c2,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_19521,c_19788,c_19788,c_20191]) ).
tff(c_19701,plain,
! [Z_318] : ( multiply(sk_c7,multiply(sk_c6,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19504]) ).
tff(c_19719,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_19701]) ).
tff(c_19947,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_19938,c_19719]) ).
tff(c_20199,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20195,c_19947]) ).
tff(c_20226,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20199,c_67]) ).
tff(c_20282,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20208,c_20226]) ).
tff(c_20273,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20208,c_19422]) ).
tff(c_20291,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20282,c_20273]) ).
tff(c_20055,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_20026,c_6]) ).
tff(c_20066,plain,
! [Z_326] : ( multiply(sk_c2,Z_326) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_19788,c_19521,c_19788,c_20055]) ).
tff(c_20072,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_20066,c_19956]) ).
tff(c_20059,plain,
! [Z_5] : ( multiply(sk_c2,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_19788,c_19521,c_19788,c_20055]) ).
tff(c_20063,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20059,c_19947]) ).
tff(c_20090,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20063,c_67]) ).
tff(c_20146,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20072,c_20090]) ).
tff(c_20137,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20072,c_19422]) ).
tff(c_20155,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20146,c_20137]) ).
tff(c_19541,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19422,c_50]) ).
tff(c_19660,plain,
! [X2_316] :
( ( inverse(X2_316) != sk_c8 )
| ( multiply(X2_316,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19541]) ).
tff(c_19667,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19461,c_19660]) ).
tff(c_19679,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19448,c_19667]) ).
tff(c_19680,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19541]) ).
tff(c_19911,plain,
! [X1_323] :
( ( inverse(X1_323) != sk_c8 )
| ( multiply(X1_323,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19680]) ).
tff(c_19922,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19461,c_19911]) ).
tff(c_19934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19448,c_19922]) ).
tff(c_19935,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19680]) ).
tff(c_20048,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19935]) ).
tff(c_20167,plain,
! [X3_328] :
( ( inverse(X3_328) != identity )
| ( multiply(X3_328,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20155,c_20072,c_20072,c_20048]) ).
tff(c_20175,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_20167]) ).
tff(c_20183,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20146,c_20146,c_20175]) ).
tff(c_20184,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19935]) ).
tff(c_20303,plain,
! [X5_331] :
( ( inverse(X5_331) != identity )
| ( multiply(X5_331,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20291,c_20208,c_2,c_20208,c_20208,c_20184]) ).
tff(c_20311,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_20303]) ).
tff(c_20319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20282,c_20282,c_20311]) ).
tff(c_20320,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_20325,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20320,c_4]) ).
tff(c_87449,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_87453,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_87449,c_4]) ).
tff(c_87488,plain,
! [Z_660] : ( multiply(sk_c6,multiply(sk_c3,Z_660)) = multiply(identity,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_87453,c_87473]) ).
tff(c_87710,plain,
! [Z_667] : ( multiply(sk_c6,multiply(sk_c3,Z_667)) = Z_667 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87488]) ).
tff(c_87497,plain,
! [Z_660] : ( multiply(sk_c7,multiply(sk_c6,Z_660)) = multiply(identity,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_20325,c_87473]) ).
tff(c_87510,plain,
! [Z_660] : ( multiply(sk_c7,multiply(sk_c6,Z_660)) = Z_660 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87497]) ).
tff(c_87726,plain,
! [Z_668] : ( multiply(sk_c7,Z_668) = multiply(sk_c3,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_87710,c_87510]) ).
tff(c_87753,plain,
multiply(sk_c3,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20325,c_87726]) ).
tff(c_87508,plain,
! [Z_660] : ( multiply(sk_c6,multiply(sk_c3,Z_660)) = Z_660 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87488]) ).
tff(c_87716,plain,
! [Z_667] : ( multiply(sk_c7,Z_667) = multiply(sk_c3,Z_667) ),
inference(superposition,[status(thm),theory(equality)],[c_87710,c_87510]) ).
tff(c_21253,plain,
! [X_358,Y_359,Z_360] : ( multiply(multiply(X_358,Y_359),Z_360) = multiply(X_358,multiply(Y_359,Z_360)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21280,plain,
! [X_2,Z_360] : ( multiply(inverse(X_2),multiply(X_2,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21253]) ).
tff(c_21291,plain,
! [X_2,Z_360] : ( multiply(inverse(X_2),multiply(X_2,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21280]) ).
tff(c_21434,plain,
! [X_367,Z_368] : ( multiply(inverse(X_367),multiply(X_367,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21280]) ).
tff(c_23046,plain,
! [X_391,Z_392] : ( multiply(inverse(inverse(X_391)),Z_392) = multiply(X_391,Z_392) ),
inference(superposition,[status(thm),theory(equality)],[c_21291,c_21434]) ).
tff(c_21500,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21434]) ).
tff(c_23060,plain,
! [X_391] : ( multiply(X_391,identity) = X_391 ),
inference(superposition,[status(thm),theory(equality)],[c_23046,c_21500]) ).
tff(c_20367,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_20371,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20367,c_4]) ).
tff(c_20390,plain,
! [X_332,Y_333,Z_334] : ( multiply(multiply(X_332,Y_333),Z_334) = multiply(X_332,multiply(Y_333,Z_334)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20408,plain,
! [Z_334] : ( multiply(sk_c6,multiply(sk_c3,Z_334)) = multiply(identity,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_20371,c_20390]) ).
tff(c_20428,plain,
! [Z_334] : ( multiply(sk_c6,multiply(sk_c3,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20408]) ).
tff(c_20831,plain,
! [Z_348] : ( multiply(sk_c6,multiply(sk_c3,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20408]) ).
tff(c_20417,plain,
! [Z_334] : ( multiply(sk_c7,multiply(sk_c6,Z_334)) = multiply(identity,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_20325,c_20390]) ).
tff(c_20431,plain,
! [Z_334] : ( multiply(sk_c7,multiply(sk_c6,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20417]) ).
tff(c_20837,plain,
! [Z_348] : ( multiply(sk_c7,Z_348) = multiply(sk_c3,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_20831,c_20431]) ).
tff(c_20850,plain,
! [Z_349] : ( multiply(sk_c7,Z_349) = multiply(sk_c3,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_20831,c_20431]) ).
tff(c_20321,plain,
inverse(sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_20379,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20321,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_20334,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_20321,c_28]) ).
tff(c_20338,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20334,c_4]) ).
tff(c_20414,plain,
! [Z_334] : ( multiply(sk_c8,multiply(sk_c5,Z_334)) = multiply(identity,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_20338,c_20390]) ).
tff(c_20573,plain,
! [Z_340] : ( multiply(sk_c8,multiply(sk_c5,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20414]) ).
tff(c_20585,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20379,c_20573]) ).
tff(c_20612,plain,
! [Z_342] : ( multiply(sk_c5,multiply(sk_c8,Z_342)) = multiply(sk_c7,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_20379,c_20390]) ).
tff(c_20627,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_20585,c_20612]) ).
tff(c_20640,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20379,c_20627]) ).
tff(c_20856,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20850,c_20640]) ).
tff(c_20938,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20856,c_20428]) ).
tff(c_21152,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_20938,c_6]) ).
tff(c_21163,plain,
! [Z_356] : ( multiply(sk_c3,Z_356) = Z_356 ),
inference(demodulation,[status(thm),theory(equality)],[c_20428,c_20837,c_20837,c_21152]) ).
tff(c_20883,plain,
multiply(sk_c3,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20325,c_20850]) ).
tff(c_21169,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_21163,c_20883]) ).
tff(c_21156,plain,
! [Z_5] : ( multiply(sk_c3,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_20428,c_20837,c_20837,c_21152]) ).
tff(c_20596,plain,
! [Z_341] : ( multiply(sk_c7,multiply(sk_c6,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20417]) ).
tff(c_20608,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_20371,c_20596]) ).
tff(c_20859,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_20850,c_20608]) ).
tff(c_21160,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21156,c_20859]) ).
tff(c_21186,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21160,c_20367]) ).
tff(c_21226,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21169,c_21186]) ).
tff(c_20967,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_20938,c_6]) ).
tff(c_20978,plain,
! [Z_351] : ( multiply(sk_c3,Z_351) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_20837,c_20428,c_20837,c_20967]) ).
tff(c_20993,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_20883,c_20978]) ).
tff(c_20997,plain,
! [Z_352] : ( multiply(sk_c7,multiply(sk_c7,Z_352)) = multiply(sk_c7,Z_352) ),
inference(superposition,[status(thm),theory(equality)],[c_20640,c_6]) ).
tff(c_21024,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_20325,c_20997]) ).
tff(c_21033,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20325,c_20608,c_21024]) ).
tff(c_21038,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21033,c_20367]) ).
tff(c_21059,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20993,c_21038]) ).
tff(c_20435,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20320,c_50]) ).
tff(c_20552,plain,
! [X2_339] :
( ( inverse(X2_339) != sk_c8 )
| ( multiply(X2_339,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_20435]) ).
tff(c_20559,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20379,c_20552]) ).
tff(c_20571,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_20559]) ).
tff(c_20572,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20435]) ).
tff(c_20806,plain,
! [X1_347] :
( ( inverse(X1_347) != sk_c8 )
| ( multiply(X1_347,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_20572]) ).
tff(c_20817,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20379,c_20806]) ).
tff(c_20829,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_20817]) ).
tff(c_20830,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20572]) ).
tff(c_20948,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_20830]) ).
tff(c_21069,plain,
! [X3_353] :
( ( inverse(X3_353) != identity )
| ( multiply(X3_353,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20993,c_20993,c_20948]) ).
tff(c_21077,plain,
( ( inverse(inverse(identity)) != identity )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21069]) ).
tff(c_21083,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21059,c_21059,c_21077]) ).
tff(c_21050,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20993,c_20320]) ).
tff(c_21131,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21059,c_21050]) ).
tff(c_21132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21083,c_21131]) ).
tff(c_21192,plain,
! [X5_357] :
( ( inverse(X5_357) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_357,sk_c6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20830]) ).
tff(c_21207,plain,
( ( inverse(identity) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_21192]) ).
tff(c_21236,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21169,c_2,c_21169,c_21226,c_21169,c_21207]) ).
tff(c_21216,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21169,c_20320]) ).
tff(c_21237,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21226,c_21216]) ).
tff(c_21238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21236,c_21237]) ).
tff(c_21239,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_21274,plain,
! [Z_360] : ( multiply(sk_c8,multiply(sk_c5,Z_360)) = multiply(identity,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_20338,c_21253]) ).
tff(c_21293,plain,
! [Z_361] : ( multiply(sk_c8,multiply(sk_c5,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21274]) ).
tff(c_21305,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21239,c_21293]) ).
tff(c_21470,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21305,c_21434]) ).
tff(c_21509,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21470]) ).
tff(c_21521,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_20325]) ).
tff(c_22725,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21521,c_21291]) ).
tff(c_22737,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22725]) ).
tff(c_20355,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_20359,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20355,c_4]) ).
tff(c_21379,plain,
! [Z_366] : ( multiply(sk_c5,multiply(sk_c8,Z_366)) = multiply(sk_c7,Z_366) ),
inference(superposition,[status(thm),theory(equality)],[c_21239,c_21253]) ).
tff(c_21403,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_20359,c_21379]) ).
tff(c_21514,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_21403]) ).
tff(c_21523,plain,
multiply(sk_c5,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21514]) ).
tff(c_21406,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_20338,c_21379]) ).
tff(c_21515,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_21406]) ).
tff(c_21524,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21515]) ).
tff(c_21642,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21523,c_21524]) ).
tff(c_21520,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_21239]) ).
tff(c_21660,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21642,c_21520]) ).
tff(c_21330,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20320,c_50]) ).
tff(c_21345,plain,
! [X2_364] :
( ( inverse(X2_364) != sk_c8 )
| ( multiply(X2_364,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_21330]) ).
tff(c_21352,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21239,c_21345]) ).
tff(c_21364,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_21352]) ).
tff(c_21365,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_21330]) ).
tff(c_21531,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_21509,c_21509,c_21365]) ).
tff(c_22649,plain,
! [X1_385] :
( ( inverse(X1_385) != sk_c8 )
| ( multiply(X1_385,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_21531]) ).
tff(c_22656,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21660,c_22649]) ).
tff(c_22673,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20355,c_22656]) ).
tff(c_22674,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != identity )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(splitRight,[status(thm)],[c_21531]) ).
tff(c_87438,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23060,c_22737,c_22737,c_23060,c_22737,c_2,c_22737,c_22737,c_22674]) ).
tff(c_87440,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_87438]) ).
tff(c_21522,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_20320]) ).
tff(c_22741,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22737,c_21522]) ).
tff(c_87442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87440,c_22741]) ).
tff(c_87444,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_87438]) ).
tff(c_87446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87444,c_22741]) ).
tff(c_87447,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_87494,plain,
! [Z_660] : ( multiply(sk_c8,multiply(sk_c5,Z_660)) = multiply(identity,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_20338,c_87473]) ).
tff(c_87513,plain,
! [Z_661] : ( multiply(sk_c8,multiply(sk_c5,Z_661)) = Z_661 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87494]) ).
tff(c_87525,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_87447,c_87513]) ).
tff(c_87491,plain,
! [Z_660] : ( multiply(sk_c5,multiply(sk_c8,Z_660)) = multiply(sk_c7,Z_660) ),
inference(superposition,[status(thm),theory(equality)],[c_87447,c_87473]) ).
tff(c_87770,plain,
! [Z_669] : ( multiply(sk_c5,multiply(sk_c8,Z_669)) = multiply(sk_c3,Z_669) ),
inference(demodulation,[status(thm),theory(equality)],[c_87716,c_87491]) ).
tff(c_87785,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_87525,c_87770]) ).
tff(c_87795,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_87447,c_87785]) ).
tff(c_87811,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_87795,c_87508]) ).
tff(c_87970,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_87811,c_6]) ).
tff(c_87996,plain,
! [Z_673] : ( multiply(sk_c3,Z_673) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_87508,c_87716,c_87716,c_87970]) ).
tff(c_88011,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_87753,c_87996]) ).
tff(c_87973,plain,
! [Z_5] : ( multiply(sk_c3,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_87508,c_87716,c_87716,c_87970]) ).
tff(c_87536,plain,
! [Z_662] : ( multiply(sk_c7,multiply(sk_c6,Z_662)) = Z_662 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87497]) ).
tff(c_87548,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_87453,c_87536]) ).
tff(c_87732,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_87726,c_87548]) ).
tff(c_87993,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87973,c_87732]) ).
tff(c_88045,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_87993,c_87449]) ).
tff(c_88065,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_88011,c_88045]) ).
tff(c_88056,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_88011,c_20320]) ).
tff(c_90459,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_88065,c_88056]) ).
tff(c_88112,plain,
! [X_675,Z_676] : ( multiply(inverse(X_675),multiply(X_675,Z_676)) = Z_676 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87500]) ).
tff(c_88231,plain,
! [X_678,Z_679] : ( multiply(inverse(inverse(X_678)),Z_679) = multiply(X_678,Z_679) ),
inference(superposition,[status(thm),theory(equality)],[c_88112,c_87511]) ).
tff(c_88151,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_88112]) ).
tff(c_88241,plain,
! [X_678] : ( multiply(X_678,identity) = X_678 ),
inference(superposition,[status(thm),theory(equality)],[c_88231,c_88151]) ).
tff(c_88076,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_88065,c_88056]) ).
tff(c_87561,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20320,c_50]) ).
tff(c_87685,plain,
! [X2_666] :
( ( inverse(X2_666) != sk_c8 )
| ( multiply(X2_666,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_87561]) ).
tff(c_87696,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_87447,c_87685]) ).
tff(c_87708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_87696]) ).
tff(c_87709,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_87561]) ).
tff(c_87943,plain,
! [X1_672] :
( ( inverse(X1_672) != sk_c8 )
| ( multiply(X1_672,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_87709]) ).
tff(c_87950,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_87447,c_87943]) ).
tff(c_87962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_87950]) ).
tff(c_87963,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_87709]) ).
tff(c_88074,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88011,c_88011,c_88011,c_2,c_88011,c_88011,c_87963]) ).
tff(c_88075,plain,
! [X3_7] :
( ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_88074]) ).
tff(c_90455,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_88241,c_88076,c_88075]) ).
tff(c_90457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90455,c_88065]) ).
tff(c_90458,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_88074]) ).
tff(c_92800,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_90622,c_90459,c_90458]) ).
tff(c_92802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92800,c_88065]) ).
tff(c_92803,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_92836,plain,
! [Z_741] : ( multiply(sk_c8,multiply(sk_c5,Z_741)) = multiply(identity,Z_741) ),
inference(superposition,[status(thm),theory(equality)],[c_20338,c_92818]) ).
tff(c_92854,plain,
! [Z_742] : ( multiply(sk_c8,multiply(sk_c5,Z_742)) = Z_742 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_92836]) ).
tff(c_92866,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_92803,c_92854]) ).
tff(c_92998,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_92866,c_92968]) ).
tff(c_93031,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_92998]) ).
tff(c_93041,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93031,c_20325]) ).
tff(c_94219,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_93041,c_92852]) ).
tff(c_94231,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94219]) ).
tff(c_93040,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93031,c_92803]) ).
tff(c_92878,plain,
! [X1_8,X5_6,X3_7,X2_9] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20320,c_50]) ).
tff(c_92893,plain,
! [X2_744] :
( ( inverse(X2_744) != sk_c8 )
| ( multiply(X2_744,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_92878]) ).
tff(c_92900,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_92803,c_92893]) ).
tff(c_92912,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_92900]) ).
tff(c_92913,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_92878]) ).
tff(c_93051,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != identity )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93031,c_93031,c_93031,c_92913]) ).
tff(c_94144,plain,
! [X1_766] :
( ( inverse(X1_766) != sk_c8 )
| ( multiply(X1_766,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_93051]) ).
tff(c_94151,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_93040,c_94144]) ).
tff(c_94168,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20334,c_94151]) ).
tff(c_94169,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(sk_c6,multiply(X5_6,sk_c6)) != identity )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(splitRight,[status(thm)],[c_93051]) ).
tff(c_145201,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94364,c_94231,c_94231,c_94364,c_94231,c_2,c_94231,c_94231,c_94169]) ).
tff(c_145203,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_145201]) ).
tff(c_93042,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_93031,c_20320]) ).
tff(c_94235,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_94231,c_93042]) ).
tff(c_145205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145203,c_94235]) ).
tff(c_145207,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_145201]) ).
tff(c_145209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145207,c_94235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP268-1 : 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
% 0.16/0.35 % Computer : n016.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 22:23:23 EDT 2023
% 0.16/0.35 % CPUTime :
% 23.65/13.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.92/13.83
% 23.92/13.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.92/13.90
% 23.92/13.90 Inference rules
% 23.92/13.90 ----------------------
% 23.92/13.90 #Ref : 0
% 23.92/13.90 #Sup : 34574
% 23.92/13.90 #Fact : 0
% 23.92/13.90 #Define : 0
% 23.92/13.90 #Split : 53
% 23.92/13.90 #Chain : 0
% 23.92/13.90 #Close : 0
% 23.92/13.90
% 23.92/13.90 Ordering : KBO
% 23.92/13.90
% 23.92/13.90 Simplification rules
% 23.92/13.90 ----------------------
% 23.92/13.90 #Subsume : 15
% 23.92/13.90 #Demod : 109571
% 23.92/13.90 #Tautology : 27920
% 23.92/13.90 #SimpNegUnit : 42
% 23.92/13.90 #BackRed : 593
% 23.92/13.90
% 23.92/13.90 #Partial instantiations: 0
% 23.92/13.90 #Strategies tried : 1
% 23.92/13.90
% 23.92/13.90 Timing (in seconds)
% 23.92/13.90 ----------------------
% 24.28/13.90 Preprocessing : 0.52
% 24.28/13.90 Parsing : 0.22
% 24.28/13.90 CNF conversion : 0.02
% 24.28/13.90 Main loop : 12.17
% 24.28/13.90 Inferencing : 2.31
% 24.28/13.90 Reduction : 7.97
% 24.28/13.90 Demodulation : 7.47
% 24.28/13.90 BG Simplification : 0.18
% 24.28/13.90 Subsumption : 1.19
% 24.28/13.90 Abstraction : 0.49
% 24.28/13.90 MUC search : 0.00
% 24.28/13.90 Cooper : 0.00
% 24.28/13.90 Total : 12.85
% 24.28/13.90 Index Insertion : 0.00
% 24.28/13.90 Index Deletion : 0.00
% 24.28/13.90 Index Matching : 0.00
% 24.28/13.90 BG Taut test : 0.00
%------------------------------------------------------------------------------