TSTP Solution File: GRP227-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP227-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:33 EDT 2023
% Result : Unsatisfiable 11.77s 4.09s
% Output : CNFRefutation 12.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 517 ( 417 unt; 11 typ; 0 def)
% Number of atoms : 689 ( 663 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 423 ( 240 ~; 183 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 5 ( 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 : 261 (; 261 !; 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_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(X4) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X5) != sk_c7 )
| ( multiply(X6,sk_c8) != X5 )
| ( inverse(X6) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X3,X2) != sk_c7 )
| ( inverse(X3) != X2 )
| ( multiply(X2,sk_c8) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_21939,plain,
! [X_323,Y_324,Z_325] : ( multiply(multiply(X_323,Y_324),Z_325) = multiply(X_323,multiply(Y_324,Z_325)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21972,plain,
! [X_2,Z_325] : ( multiply(inverse(X_2),multiply(X_2,Z_325)) = multiply(identity,Z_325) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21939]) ).
tff(c_23274,plain,
! [X_353,Z_354] : ( multiply(inverse(X_353),multiply(X_353,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21972]) ).
tff(c_21983,plain,
! [X_2,Z_325] : ( multiply(inverse(X_2),multiply(X_2,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21972]) ).
tff(c_23404,plain,
! [X_356,Z_357] : ( multiply(inverse(inverse(X_356)),Z_357) = multiply(X_356,Z_357) ),
inference(superposition,[status(thm),theory(equality)],[c_23274,c_21983]) ).
tff(c_23307,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23274]) ).
tff(c_23411,plain,
! [X_356] : ( multiply(X_356,identity) = X_356 ),
inference(superposition,[status(thm),theory(equality)],[c_23404,c_23307]) ).
tff(c_22631,plain,
! [X_338,Z_339] : ( multiply(inverse(X_338),multiply(X_338,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21972]) ).
tff(c_22756,plain,
! [X_341,Z_342] : ( multiply(inverse(inverse(X_341)),Z_342) = multiply(X_341,Z_342) ),
inference(superposition,[status(thm),theory(equality)],[c_22631,c_21983]) ).
tff(c_22667,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22631]) ).
tff(c_22763,plain,
! [X_341] : ( multiply(X_341,identity) = X_341 ),
inference(superposition,[status(thm),theory(equality)],[c_22756,c_22667]) ).
tff(c_18669,plain,
! [X_257,Y_258,Z_259] : ( multiply(multiply(X_257,Y_258),Z_259) = multiply(X_257,multiply(Y_258,Z_259)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18705,plain,
! [X_2,Z_259] : ( multiply(inverse(X_2),multiply(X_2,Z_259)) = multiply(identity,Z_259) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18669]) ).
tff(c_18717,plain,
! [X_2,Z_259] : ( multiply(inverse(X_2),multiply(X_2,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18705]) ).
tff(c_21425,plain,
! [X_312,Z_313] : ( multiply(inverse(X_312),multiply(X_312,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18705]) ).
tff(c_21616,plain,
! [X_316,Z_317] : ( multiply(inverse(inverse(X_316)),Z_317) = multiply(X_316,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_18717,c_21425]) ).
tff(c_21461,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21425]) ).
tff(c_21623,plain,
! [X_316] : ( multiply(X_316,identity) = X_316 ),
inference(superposition,[status(thm),theory(equality)],[c_21616,c_21461]) ).
tff(c_17166,plain,
! [X_224,Y_225,Z_226] : ( multiply(multiply(X_224,Y_225),Z_226) = multiply(X_224,multiply(Y_225,Z_226)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17202,plain,
! [X_2,Z_226] : ( multiply(inverse(X_2),multiply(X_2,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17166]) ).
tff(c_17214,plain,
! [X_2,Z_226] : ( multiply(inverse(X_2),multiply(X_2,Z_226)) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17202]) ).
tff(c_18012,plain,
! [X_244,Z_245] : ( multiply(inverse(X_244),multiply(X_244,Z_245)) = Z_245 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17202]) ).
tff(c_18199,plain,
! [X_247,Z_248] : ( multiply(inverse(inverse(X_247)),Z_248) = multiply(X_247,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_17214,c_18012]) ).
tff(c_18051,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18012]) ).
tff(c_18206,plain,
! [X_247] : ( multiply(X_247,identity) = X_247 ),
inference(superposition,[status(thm),theory(equality)],[c_18199,c_18051]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_121,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_8,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_13504,plain,
! [X_144,Y_145,Z_146] : ( multiply(multiply(X_144,Y_145),Z_146) = multiply(X_144,multiply(Y_145,Z_146)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13543,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c1,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13504]) ).
tff(c_13564,plain,
! [Z_147] : ( multiply(sk_c8,multiply(sk_c1,Z_147)) = Z_147 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13543]) ).
tff(c_13576,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_121,c_13564]) ).
tff(c_149,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_179,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_149]) ).
tff(c_431,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_189,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_698,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_431,c_189]) ).
tff(c_719,plain,
! [X_25] : ( multiply(X_25,inverse(X_25)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_698,c_4]) ).
tff(c_32,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_128,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_44,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_113,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_176,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_18] : ( multiply(sk_c8,multiply(sk_c2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_214]) ).
tff(c_230,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_226]) ).
tff(c_173,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_121,c_191]) ).
tff(c_232,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_203]) ).
tff(c_535,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_232,c_189]) ).
tff(c_541,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_535]) ).
tff(c_461,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_431]) ).
tff(c_705,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_698,c_461]) ).
tff(c_306,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_179]) ).
tff(c_324,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_232,c_306]) ).
tff(c_358,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_324]) ).
tff(c_238,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_98]) ).
tff(c_257,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_238,c_4]) ).
tff(c_385,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358,c_257]) ).
tff(c_372,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_238]) ).
tff(c_390,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_385,c_372]) ).
tff(c_68,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_252,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_68]) ).
tff(c_253,plain,
inverse(sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_373,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_358,c_253]) ).
tff(c_414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_373]) ).
tff(c_415,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_9270,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( identity != X4_11 )
| ( inverse(X4_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_719,c_541,c_705,c_541,c_541,c_705,c_541,c_541,c_541,c_705,c_541,c_541,c_2,c_541,c_541,c_541,c_705,c_541,c_541,c_415]) ).
tff(c_9271,plain,
! [X3_8] : ( inverse(X3_8) != identity ),
inference(splitLeft,[status(thm)],[c_9270]) ).
tff(c_416,plain,
inverse(sk_c7) = sk_c7,
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_547,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_541,c_541,c_416]) ).
tff(c_9273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9271,c_547]) ).
tff(c_9274,plain,
! [X4_11,X6_7,X1_9] :
( ( identity != X4_11 )
| ( inverse(X4_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 ) ),
inference(splitRight,[status(thm)],[c_9270]) ).
tff(c_12682,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_9274]) ).
tff(c_12684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12682,c_547]) ).
tff(c_12685,plain,
! [X6_7,X4_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X4_11 )
| ( inverse(X4_11) != identity ) ),
inference(splitRight,[status(thm)],[c_9274]) ).
tff(c_12687,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_12685]) ).
tff(c_12689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12687,c_547]) ).
tff(c_13438,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_12685]) ).
tff(c_13440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13438,c_547]) ).
tff(c_13441,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_13446,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13441,c_4]) ).
tff(c_13614,plain,
! [Z_149] : ( multiply(sk_c1,multiply(sk_c7,Z_149)) = multiply(sk_c8,Z_149) ),
inference(superposition,[status(thm),theory(equality)],[c_121,c_13504]) ).
tff(c_13629,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_13446,c_13614]) ).
tff(c_13633,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13576,c_13629]) ).
tff(c_13560,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c1,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13543]) ).
tff(c_13637,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13633,c_13560]) ).
tff(c_13442,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_34,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_13483,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13442,c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_13454,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13442,c_36]) ).
tff(c_13458,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13454,c_4]) ).
tff(c_13531,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c4,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_13458,c_13504]) ).
tff(c_13653,plain,
! [Z_150] : ( multiply(sk_c8,multiply(sk_c4,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13531]) ).
tff(c_13665,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13483,c_13653]) ).
tff(c_13669,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13637,c_13665]) ).
tff(c_13546,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c2,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13504]) ).
tff(c_13590,plain,
! [Z_148] : ( multiply(sk_c8,multiply(sk_c2,Z_148)) = Z_148 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13546]) ).
tff(c_13602,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_13590]) ).
tff(c_13606,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13602,c_13442]) ).
tff(c_13673,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13669,c_13606]) ).
tff(c_13676,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13669,c_13669,c_13576]) ).
tff(c_13691,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13676]) ).
tff(c_13711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13673,c_13691]) ).
tff(c_13713,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_13733,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13713,c_28]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_13776,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13713,c_26]) ).
tff(c_13782,plain,
! [X_152,Y_153,Z_154] : ( multiply(multiply(X_152,Y_153),Z_154) = multiply(X_152,multiply(Y_153,Z_154)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13827,plain,
! [X_2,Z_154] : ( multiply(inverse(X_2),multiply(X_2,Z_154)) = multiply(identity,Z_154) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13782]) ).
tff(c_14089,plain,
! [X_158,Z_159] : ( multiply(inverse(X_158),multiply(X_158,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13827]) ).
tff(c_14140,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13776,c_14089]) ).
tff(c_14162,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13733,c_14140]) ).
tff(c_13840,plain,
! [X_2,Z_154] : ( multiply(inverse(X_2),multiply(X_2,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13827]) ).
tff(c_14172,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14162,c_13840]) ).
tff(c_14178,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14172]) ).
tff(c_13727,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_13824,plain,
! [Z_154] : ( multiply(sk_c8,multiply(sk_c2,Z_154)) = multiply(identity,Z_154) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13782]) ).
tff(c_13855,plain,
! [Z_156] : ( multiply(sk_c8,multiply(sk_c2,Z_156)) = Z_156 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13824]) ).
tff(c_13867,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_13855]) ).
tff(c_13871,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13727,c_13867]) ).
tff(c_14006,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13871,c_98]) ).
tff(c_14030,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14006,c_4]) ).
tff(c_14196,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14178,c_14030]) ).
tff(c_14002,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13871,c_13713]) ).
tff(c_14182,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14178,c_14178,c_14002]) ).
tff(c_14331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14196,c_14182]) ).
tff(c_14332,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_14337,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14332,c_4]) ).
tff(c_14389,plain,
! [X_161,Y_162,Z_163] : ( multiply(multiply(X_161,Y_162),Z_163) = multiply(X_161,multiply(Y_162,Z_163)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14416,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c8,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_14337,c_14389]) ).
tff(c_14486,plain,
! [Z_166] : ( multiply(sk_c7,multiply(sk_c8,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14416]) ).
tff(c_14510,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_14486]) ).
tff(c_13712,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_13717,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13712,c_4]) ).
tff(c_14507,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_13717,c_14486]) ).
tff(c_14565,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14510,c_14507]) ).
tff(c_14333,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_14370,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14333,c_34]) ).
tff(c_14566,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14565,c_14370]) ).
tff(c_14425,plain,
! [Z_163] : ( multiply(sk_c8,multiply(sk_c1,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14389]) ).
tff(c_14442,plain,
! [Z_163] : ( multiply(sk_c8,multiply(sk_c1,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14425]) ).
tff(c_14578,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14566,c_14442]) ).
tff(c_14440,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c8,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14416]) ).
tff(c_14603,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14578,c_14440]) ).
tff(c_14611,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14337,c_14603]) ).
tff(c_14428,plain,
! [Z_163] : ( multiply(sk_c8,multiply(sk_c2,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_14389]) ).
tff(c_14462,plain,
! [Z_165] : ( multiply(sk_c8,multiply(sk_c2,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14428]) ).
tff(c_14474,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_113,c_14462]) ).
tff(c_14478,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14474,c_14333]) ).
tff(c_14697,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14611,c_14478]) ).
tff(c_14694,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14611,c_14510]) ).
tff(c_14704,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14694]) ).
tff(c_14513,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_14486]) ).
tff(c_14545,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14510,c_14513]) ).
tff(c_14711,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14704,c_14545]) ).
tff(c_14498,plain,
multiply(sk_c7,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14474,c_14486]) ).
tff(c_14517,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14337,c_14498]) ).
tff(c_14422,plain,
! [Z_163] : ( multiply(sk_c2,multiply(sk_c8,Z_163)) = multiply(sk_c3,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_14389]) ).
tff(c_14786,plain,
! [Z_163] : ( multiply(sk_c8,Z_163) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14711,c_2,c_14517,c_14422]) ).
tff(c_14518,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14517,c_14474]) ).
tff(c_14787,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14786,c_14518]) ).
tff(c_14789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14697,c_14787]) ).
tff(c_14790,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_14795,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14790,c_4]) ).
tff(c_14868,plain,
! [X_171,Y_172,Z_173] : ( multiply(multiply(X_171,Y_172),Z_173) = multiply(X_171,multiply(Y_172,Z_173)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14904,plain,
! [Z_173] : ( multiply(sk_c7,multiply(sk_c8,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_14795,c_14868]) ).
tff(c_15105,plain,
! [Z_182] : ( multiply(sk_c7,multiply(sk_c8,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14904]) ).
tff(c_15135,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_15105]) ).
tff(c_14791,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_14821,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14791,c_48]) ).
tff(c_14825,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14821,c_4]) ).
tff(c_15129,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14825,c_15105]) ).
tff(c_15150,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15135,c_15129]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_14853,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14791,c_46]) ).
tff(c_15159,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15150,c_14853]) ).
tff(c_14907,plain,
! [Z_173] : ( multiply(sk_c8,multiply(sk_c1,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14868]) ).
tff(c_14924,plain,
! [Z_173] : ( multiply(sk_c8,multiply(sk_c1,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14907]) ).
tff(c_15185,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15159,c_14924]) ).
tff(c_14923,plain,
! [Z_173] : ( multiply(sk_c7,multiply(sk_c8,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14904]) ).
tff(c_15242,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15185,c_14923]) ).
tff(c_15248,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14795,c_15242]) ).
tff(c_15138,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_15105]) ).
tff(c_15168,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15135,c_15138]) ).
tff(c_15170,plain,
multiply(sk_c1,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_15168,c_14791]) ).
tff(c_15181,plain,
sk_c7 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_15159,c_15170]) ).
tff(c_15254,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15248,c_15181]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_14804,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_15132,plain,
multiply(sk_c7,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14804,c_15105]) ).
tff(c_15252,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_15248,c_15248,c_15132]) ).
tff(c_15267,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15252]) ).
tff(c_15305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15254,c_15267]) ).
tff(c_15307,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_16513,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15307,c_34]) ).
tff(c_15373,plain,
! [X_185,Y_186,Z_187] : ( multiply(multiply(X_185,Y_186),Z_187) = multiply(X_185,multiply(Y_186,Z_187)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15406,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c8,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_14795,c_15373]) ).
tff(c_15558,plain,
! [Z_193] : ( multiply(sk_c7,multiply(sk_c8,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15406]) ).
tff(c_15582,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_15558]) ).
tff(c_15585,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_15558]) ).
tff(c_15644,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15582,c_15585]) ).
tff(c_15327,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14791,c_48]) ).
tff(c_15331,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15327,c_4]) ).
tff(c_15579,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_15331,c_15558]) ).
tff(c_15623,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_15585,c_15579]) ).
tff(c_15356,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15307,c_34]) ).
tff(c_15635,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15623,c_15356]) ).
tff(c_15962,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15644,c_15635]) ).
tff(c_15409,plain,
! [Z_187] : ( multiply(sk_c8,multiply(sk_c1,Z_187)) = multiply(identity,Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15373]) ).
tff(c_15426,plain,
! [Z_187] : ( multiply(sk_c8,multiply(sk_c1,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15409]) ).
tff(c_15967,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15962,c_15426]) ).
tff(c_15425,plain,
! [Z_187] : ( multiply(sk_c7,multiply(sk_c8,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15406]) ).
tff(c_16278,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15967,c_15425]) ).
tff(c_16284,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14795,c_16278]) ).
tff(c_15321,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_15430,plain,
! [Z_188] : ( multiply(sk_c8,multiply(sk_c1,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15409]) ).
tff(c_15442,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15321,c_15430]) ).
tff(c_15573,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15442,c_15558]) ).
tff(c_16362,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16284,c_2,c_16284,c_15573]) ).
tff(c_16299,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16284,c_14790]) ).
tff(c_16363,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16362,c_16299]) ).
tff(c_15989,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15967,c_15425]) ).
tff(c_15995,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14795,c_15989]) ).
tff(c_16090,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15995,c_2,c_15995,c_15573]) ).
tff(c_16001,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15995,c_15582]) ).
tff(c_16011,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16001]) ).
tff(c_16038,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16011,c_98]) ).
tff(c_16092,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16090,c_16038]) ).
tff(c_15673,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15644,c_15635]) ).
tff(c_15678,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15673,c_15426]) ).
tff(c_15727,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15678,c_15425]) ).
tff(c_15733,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14795,c_15727]) ).
tff(c_15818,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15733,c_2,c_15733,c_15573]) ).
tff(c_15750,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15733,c_14790]) ).
tff(c_15447,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14790,c_68]) ).
tff(c_15517,plain,
! [X4_191] :
( ( multiply(X4_191,sk_c7) != sk_c8 )
| ( inverse(X4_191) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_15447]) ).
tff(c_15524,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15321,c_15517]) ).
tff(c_15536,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_15524]) ).
tff(c_15537,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15447]) ).
tff(c_15668,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15537]) ).
tff(c_15759,plain,
! [X3_196] :
( ( multiply(inverse(X3_196),sk_c8) != identity )
| ( multiply(X3_196,inverse(X3_196)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15733,c_15733,c_15668]) ).
tff(c_15769,plain,
multiply(sk_c8,inverse(sk_c8)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_15759]) ).
tff(c_15798,plain,
multiply(sk_c8,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15750,c_15769]) ).
tff(c_15956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15818,c_15798]) ).
tff(c_15957,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15537]) ).
tff(c_15974,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15957]) ).
tff(c_16060,plain,
! [X6_201] :
( ( inverse(X6_201) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_201,sk_c8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15995,c_15974]) ).
tff(c_16072,plain,
( ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16060]) ).
tff(c_16262,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16090,c_2,c_16090,c_16092,c_16090,c_16072]) ).
tff(c_16263,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15957]) ).
tff(c_16317,plain,
! [X1_206] :
( ( inverse(X1_206) != sk_c8 )
| ( multiply(X1_206,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16284,c_16263]) ).
tff(c_16330,plain,
inverse(inverse(sk_c8)) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_4,c_16317]) ).
tff(c_16479,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16363,c_16363,c_16362,c_16362,c_16330]) ).
tff(c_16480,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_16485,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16480,c_4]) ).
tff(c_16535,plain,
! [X_210,Y_211,Z_212] : ( multiply(multiply(X_210,Y_211),Z_212) = multiply(X_210,multiply(Y_211,Z_212)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16559,plain,
! [Z_212] : ( multiply(sk_c8,multiply(sk_c4,Z_212)) = multiply(identity,Z_212) ),
inference(superposition,[status(thm),theory(equality)],[c_16485,c_16535]) ).
tff(c_16807,plain,
! [Z_219] : ( multiply(sk_c8,multiply(sk_c4,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16559]) ).
tff(c_16819,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16513,c_16807]) ).
tff(c_16565,plain,
! [Z_212] : ( multiply(sk_c7,multiply(sk_c8,Z_212)) = multiply(identity,Z_212) ),
inference(superposition,[status(thm),theory(equality)],[c_14795,c_16535]) ).
tff(c_16830,plain,
! [Z_220] : ( multiply(sk_c7,multiply(sk_c8,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16565]) ).
tff(c_16842,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16819,c_16830]) ).
tff(c_16864,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14795,c_16842]) ).
tff(c_16860,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_16830]) ).
tff(c_16887,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16864,c_16860]) ).
tff(c_16891,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16887,c_85]) ).
tff(c_16901,plain,
multiply(sk_c8,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16891,c_4]) ).
tff(c_16866,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16864,c_16819]) ).
tff(c_16936,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16901,c_16866]) ).
tff(c_16857,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_16830]) ).
tff(c_16924,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16864,c_16857]) ).
tff(c_16481,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_16870,plain,
multiply(sk_c1,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16864,c_16481]) ).
tff(c_17091,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16936,c_2,c_16924,c_16870]) ).
tff(c_17092,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_17097,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17092,c_4]) ).
tff(c_17093,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_17132,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17093,c_10]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_17105,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17093,c_12]) ).
tff(c_17109,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17105,c_4]) ).
tff(c_17193,plain,
! [Z_226] : ( multiply(sk_c8,multiply(sk_c4,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_17109,c_17166]) ).
tff(c_17547,plain,
! [Z_234] : ( multiply(sk_c8,multiply(sk_c4,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17193]) ).
tff(c_17559,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17132,c_17547]) ).
tff(c_17196,plain,
! [Z_226] : ( multiply(sk_c7,multiply(sk_c8,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_17097,c_17166]) ).
tff(c_17693,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c8,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17196]) ).
tff(c_17708,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17559,c_17693]) ).
tff(c_17721,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17097,c_17708]) ).
tff(c_17729,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17721,c_17092]) ).
tff(c_17737,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17729,c_4]) ).
tff(c_17747,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_17737,c_2]) ).
tff(c_17756,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17747,c_17729]) ).
tff(c_17841,plain,
! [X_239,Z_240] : ( multiply(inverse(X_239),multiply(X_239,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17202]) ).
tff(c_17920,plain,
! [X_241] : ( multiply(inverse(inverse(X_241)),identity) = X_241 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17841]) ).
tff(c_17926,plain,
! [X_241] : ( multiply(inverse(inverse(inverse(X_241))),X_241) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_17920,c_17214]) ).
tff(c_17584,plain,
! [Z_236] : ( multiply(sk_c7,multiply(sk_c8,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17196]) ).
tff(c_17599,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17559,c_17584]) ).
tff(c_17612,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17097,c_17599]) ).
tff(c_17620,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17612,c_17092]) ).
tff(c_17628,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17620,c_4]) ).
tff(c_17638,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_17628,c_2]) ).
tff(c_17647,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17638,c_17620]) ).
tff(c_17242,plain,
! [Z_228] : ( multiply(sk_c8,multiply(sk_c4,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17193]) ).
tff(c_17254,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17132,c_17242]) ).
tff(c_17278,plain,
! [Z_230] : ( multiply(sk_c7,multiply(sk_c8,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17196]) ).
tff(c_17293,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17254,c_17278]) ).
tff(c_17306,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17097,c_17293]) ).
tff(c_17314,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_17092]) ).
tff(c_17336,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17314,c_4]) ).
tff(c_17362,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_17336,c_2]) ).
tff(c_17302,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_17278]) ).
tff(c_17340,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17306,c_17302]) ).
tff(c_17343,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17340,c_85]) ).
tff(c_17371,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17362,c_17343]) ).
tff(c_17240,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17092,c_68]) ).
tff(c_17241,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_17240]) ).
tff(c_17320,plain,
! [X4_231] :
( ( multiply(X4_231,identity) != sk_c8 )
| ( inverse(X4_231) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_17241]) ).
tff(c_17332,plain,
( ( sk_c8 != identity )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_17320]) ).
tff(c_17545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17371,c_17362,c_17362,c_17332]) ).
tff(c_17546,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17240]) ).
tff(c_17583,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17546]) ).
tff(c_17677,plain,
! [X3_237] :
( ( multiply(inverse(X3_237),identity) != identity )
| ( multiply(X3_237,inverse(X3_237)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17612,c_17638,c_17612,c_17583]) ).
tff(c_17681,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_17647,c_17677]) ).
tff(c_17691,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17647,c_2,c_2,c_17681]) ).
tff(c_17692,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17546]) ).
tff(c_17785,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17747,c_2,c_17747,c_17721,c_17747,c_17747,c_17721,c_17747,c_17692]) ).
tff(c_17980,plain,
! [X6_243] :
( ( inverse(X6_243) != identity )
| ( multiply(X6_243,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_17785]) ).
tff(c_17984,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_17926,c_17980]) ).
tff(c_18003,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17756,c_17756,c_17756,c_17756,c_17984]) ).
tff(c_18004,plain,
! [X1_9] :
( ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_17785]) ).
tff(c_18579,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18206,c_18004]) ).
tff(c_18581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18579,c_17756]) ).
tff(c_18583,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_56,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_18620,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18583,c_56]) ).
tff(c_18624,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18620,c_4]) ).
tff(c_18607,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_18611,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18607,c_4]) ).
tff(c_18693,plain,
! [Z_259] : ( multiply(sk_c7,multiply(sk_c8,Z_259)) = multiply(identity,Z_259) ),
inference(superposition,[status(thm),theory(equality)],[c_18624,c_18669]) ).
tff(c_18719,plain,
! [Z_260] : ( multiply(sk_c7,multiply(sk_c8,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18693]) ).
tff(c_18731,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_18611,c_18719]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_18591,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_18583,c_60]) ).
tff(c_18595,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18591,c_4]) ).
tff(c_18734,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18595,c_18719]) ).
tff(c_19098,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18731,c_18734]) ).
tff(c_58,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_18633,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18583,c_58]) ).
tff(c_19108,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19098,c_18633]) ).
tff(c_18699,plain,
! [Z_259] : ( multiply(sk_c8,multiply(sk_c4,Z_259)) = multiply(identity,Z_259) ),
inference(superposition,[status(thm),theory(equality)],[c_18595,c_18669]) ).
tff(c_18715,plain,
! [Z_259] : ( multiply(sk_c8,multiply(sk_c4,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18699]) ).
tff(c_19427,plain,
! [Z_275] : ( multiply(sk_c8,multiply(sk_c1,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_19098,c_18715]) ).
tff(c_19442,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19108,c_19427]) ).
tff(c_18713,plain,
! [Z_259] : ( multiply(sk_c7,multiply(sk_c8,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18693]) ).
tff(c_19449,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19442,c_18713]) ).
tff(c_19455,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18624,c_19449]) ).
tff(c_19465,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19455,c_18620]) ).
tff(c_21488,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19465,c_4]) ).
tff(c_21495,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21488,c_18717]) ).
tff(c_21507,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21495]) ).
tff(c_19527,plain,
! [X_276,Z_277] : ( multiply(inverse(X_276),multiply(X_276,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18705]) ).
tff(c_19665,plain,
! [X_279,Z_280] : ( multiply(inverse(inverse(X_279)),Z_280) = multiply(X_279,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_18717,c_19527]) ).
tff(c_19557,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19527]) ).
tff(c_19672,plain,
! [X_279] : ( multiply(X_279,identity) = X_279 ),
inference(superposition,[status(thm),theory(equality)],[c_19665,c_19557]) ).
tff(c_19490,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19465,c_4]) ).
tff(c_19500,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_19490,c_2]) ).
tff(c_19135,plain,
! [Z_267] : ( multiply(sk_c8,multiply(sk_c1,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_19098,c_18715]) ).
tff(c_19150,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19108,c_19135]) ).
tff(c_19157,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19150,c_18713]) ).
tff(c_19163,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18624,c_19157]) ).
tff(c_19172,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19163,c_18624]) ).
tff(c_19273,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_19172,c_2]) ).
tff(c_19173,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19163,c_18620]) ).
tff(c_18749,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18731,c_18734]) ).
tff(c_18758,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18749,c_18633]) ).
tff(c_18791,plain,
! [Z_262] : ( multiply(sk_c8,multiply(sk_c1,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_18749,c_18715]) ).
tff(c_18809,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18758,c_18791]) ).
tff(c_18819,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18809,c_18713]) ).
tff(c_18826,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18624,c_18819]) ).
tff(c_18835,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18826,c_18624]) ).
tff(c_18903,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_18835,c_2]) ).
tff(c_18836,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18826,c_18620]) ).
tff(c_18831,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_18826,c_18731]) ).
tff(c_18838,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18831]) ).
tff(c_18846,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_18838,c_18607]) ).
tff(c_18873,plain,
multiply(sk_c8,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18846,c_4]) ).
tff(c_18739,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18620,c_68]) ).
tff(c_18740,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_18739]) ).
tff(c_18852,plain,
! [X4_11] :
( ( multiply(X4_11,identity) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18826,c_18740]) ).
tff(c_18887,plain,
( ( sk_c8 != identity )
| ( inverse(sk_c8) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18873,c_18852]) ).
tff(c_18893,plain,
( ( sk_c8 != identity )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18836,c_18887]) ).
tff(c_19069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18903,c_18903,c_18893]) ).
tff(c_19070,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18739]) ).
tff(c_19133,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19070]) ).
tff(c_19236,plain,
! [X3_269] :
( ( multiply(inverse(X3_269),sk_c8) != identity )
| ( multiply(X3_269,inverse(X3_269)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19163,c_19163,c_19133]) ).
tff(c_19245,plain,
multiply(sk_c8,inverse(sk_c8)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_19236]) ).
tff(c_19251,plain,
multiply(sk_c8,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19173,c_19245]) ).
tff(c_19424,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19273,c_19251]) ).
tff(c_19425,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19070]) ).
tff(c_19472,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != identity )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19455,c_19455,c_19425]) ).
tff(c_19473,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != identity ) ),
inference(splitLeft,[status(thm)],[c_19472]) ).
tff(c_21421,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19672,c_19500,c_2,c_19500,c_19500,c_19473]) ).
tff(c_19460,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19455,c_18731]) ).
tff(c_19467,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19460]) ).
tff(c_19477,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_19467,c_18607]) ).
tff(c_19517,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19500,c_19477]) ).
tff(c_21423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21421,c_19517]) ).
tff(c_21424,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != identity ) ),
inference(splitRight,[status(thm)],[c_19472]) ).
tff(c_21878,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21623,c_21507,c_21507,c_21424]) ).
tff(c_21472,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_19467,c_18607]) ).
tff(c_21520,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21507,c_21472]) ).
tff(c_21880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21878,c_21520]) ).
tff(c_21881,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_21886,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21881,c_4]) ).
tff(c_21901,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18583,c_58]) ).
tff(c_21966,plain,
! [Z_325] : ( multiply(sk_c8,multiply(sk_c4,Z_325)) = multiply(identity,Z_325) ),
inference(superposition,[status(thm),theory(equality)],[c_18595,c_21939]) ).
tff(c_22423,plain,
! [Z_336] : ( multiply(sk_c8,multiply(sk_c4,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21966]) ).
tff(c_22441,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21901,c_22423]) ).
tff(c_21963,plain,
! [Z_325] : ( multiply(sk_c7,multiply(sk_c8,Z_325)) = multiply(identity,Z_325) ),
inference(superposition,[status(thm),theory(equality)],[c_21886,c_21939]) ).
tff(c_21980,plain,
! [Z_325] : ( multiply(sk_c7,multiply(sk_c8,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21963]) ).
tff(c_22448,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22441,c_21980]) ).
tff(c_22457,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21886,c_22448]) ).
tff(c_22549,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22457,c_21881]) ).
tff(c_22568,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22549,c_4]) ).
tff(c_22578,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_22568,c_2]) ).
tff(c_22470,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22457,c_21881]) ).
tff(c_22489,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22470,c_4]) ).
tff(c_22499,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_22489,c_2]) ).
tff(c_22391,plain,
! [Z_335] : ( multiply(sk_c7,multiply(sk_c8,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21963]) ).
tff(c_22403,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18595,c_22391]) ).
tff(c_22463,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22457,c_22403]) ).
tff(c_22472,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22463]) ).
tff(c_22480,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22472,c_18591]) ).
tff(c_22517,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22499,c_22480]) ).
tff(c_22059,plain,
! [Z_329] : ( multiply(sk_c8,multiply(sk_c4,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21966]) ).
tff(c_22080,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_21901,c_22059]) ).
tff(c_22090,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22080,c_21980]) ).
tff(c_22097,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21886,c_22090]) ).
tff(c_21988,plain,
! [Z_326] : ( multiply(sk_c7,multiply(sk_c8,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21963]) ).
tff(c_22000,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_18595,c_21988]) ).
tff(c_22103,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22097,c_22000]) ).
tff(c_22112,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22103]) ).
tff(c_21981,plain,
! [Z_325] : ( multiply(sk_c8,multiply(sk_c4,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21966]) ).
tff(c_22131,plain,
! [Z_325] : ( multiply(sk_c8,multiply(identity,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_22112,c_21981]) ).
tff(c_22134,plain,
! [Z_325] : ( multiply(sk_c8,Z_325) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22131]) ).
tff(c_22099,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22097,c_22080]) ).
tff(c_22263,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22134,c_22099]) ).
tff(c_22109,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22097,c_21881]) ).
tff(c_22175,plain,
! [Z_331] : ( multiply(sk_c8,Z_331) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22131]) ).
tff(c_21986,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21881,c_68]) ).
tff(c_21987,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_21986]) ).
tff(c_22117,plain,
! [X4_11] :
( ( multiply(X4_11,identity) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22097,c_21987]) ).
tff(c_22182,plain,
( ( sk_c8 != identity )
| ( inverse(sk_c8) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_22175,c_22117]) ).
tff(c_22190,plain,
( ( sk_c8 != identity )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22109,c_22182]) ).
tff(c_22373,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22263,c_22263,c_22190]) ).
tff(c_22374,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_21986]) ).
tff(c_22460,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c8) != sk_c7 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_22374]) ).
tff(c_22528,plain,
! [X3_337] :
( ( multiply(inverse(X3_337),identity) != identity )
| ( multiply(X3_337,inverse(X3_337)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22457,c_22499,c_22457,c_22460]) ).
tff(c_22530,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_22517,c_22528]) ).
tff(c_22538,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22517,c_2,c_2,c_22530]) ).
tff(c_22539,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_22374]) ).
tff(c_22606,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22578,c_2,c_22578,c_22457,c_22578,c_22578,c_22457,c_22578,c_22539]) ).
tff(c_22607,plain,
! [X6_7] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_22606]) ).
tff(c_23259,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_22763,c_22607]) ).
tff(c_22542,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22457,c_22403]) ).
tff(c_22551,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22542]) ).
tff(c_22559,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_22551,c_18591]) ).
tff(c_22596,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22578,c_22559]) ).
tff(c_23261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23259,c_22596]) ).
tff(c_23262,plain,
! [X1_9] :
( ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_22606]) ).
tff(c_23768,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23411,c_23262]) ).
tff(c_23770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23768,c_22596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP227-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:20:36 EDT 2023
% 0.15/0.37 % CPUTime :
% 11.77/4.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.02/4.16
% 12.02/4.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.02/4.22
% 12.02/4.22 Inference rules
% 12.02/4.22 ----------------------
% 12.02/4.22 #Ref : 0
% 12.02/4.22 #Sup : 5892
% 12.02/4.22 #Fact : 0
% 12.02/4.22 #Define : 0
% 12.02/4.22 #Split : 35
% 12.02/4.22 #Chain : 0
% 12.02/4.22 #Close : 0
% 12.02/4.22
% 12.02/4.22 Ordering : KBO
% 12.02/4.22
% 12.02/4.22 Simplification rules
% 12.02/4.22 ----------------------
% 12.02/4.22 #Subsume : 8
% 12.02/4.22 #Demod : 12722
% 12.02/4.22 #Tautology : 4918
% 12.02/4.22 #SimpNegUnit : 80
% 12.02/4.22 #BackRed : 579
% 12.02/4.22
% 12.02/4.22 #Partial instantiations: 0
% 12.02/4.22 #Strategies tried : 1
% 12.02/4.22
% 12.02/4.22 Timing (in seconds)
% 12.02/4.22 ----------------------
% 12.02/4.22 Preprocessing : 0.52
% 12.02/4.22 Parsing : 0.21
% 12.02/4.22 CNF conversion : 0.03
% 12.02/4.22 Main loop : 2.40
% 12.02/4.22 Inferencing : 0.74
% 12.02/4.22 Reduction : 1.16
% 12.02/4.22 Demodulation : 1.02
% 12.02/4.22 BG Simplification : 0.08
% 12.02/4.22 Subsumption : 0.26
% 12.02/4.22 Abstraction : 0.12
% 12.02/4.22 MUC search : 0.00
% 12.02/4.22 Cooper : 0.00
% 12.02/4.22 Total : 3.07
% 12.02/4.22 Index Insertion : 0.00
% 12.02/4.22 Index Deletion : 0.00
% 12.02/4.22 Index Matching : 0.00
% 12.02/4.22 BG Taut test : 0.00
%------------------------------------------------------------------------------