TSTP Solution File: GRP267-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP267-1 : 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 : n025.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 13.06s 4.66s
% Output : CNFRefutation 13.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 36
% Syntax : Number of formulae : 683 ( 576 unt; 11 typ; 0 def)
% Number of atoms : 881 ( 845 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 487 ( 278 ~; 209 |; 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 : 383 (; 383 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c4 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
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_c7,X4) != sk_c6 )
| ( multiply(X5,sk_c7) != X4 )
| ( inverse(X5) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(sk_c6) != sk_c7 ) ),
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_89,axiom,
( ( multiply(sk_c2,sk_c6) = 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_c7) = sk_c4 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c4 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c6) = 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_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_35245,plain,
! [X_547,Y_548,Z_549] : ( multiply(multiply(X_547,Y_548),Z_549) = multiply(X_547,multiply(Y_548,Z_549)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35272,plain,
! [X_2,Z_549] : ( multiply(inverse(X_2),multiply(X_2,Z_549)) = multiply(identity,Z_549) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35245]) ).
tff(c_35283,plain,
! [X_2,Z_549] : ( multiply(inverse(X_2),multiply(X_2,Z_549)) = Z_549 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35272]) ).
tff(c_36705,plain,
! [X_578,Z_579] : ( multiply(inverse(X_578),multiply(X_578,Z_579)) = Z_579 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35272]) ).
tff(c_37011,plain,
! [X_582,Z_583] : ( multiply(inverse(inverse(X_582)),Z_583) = multiply(X_582,Z_583) ),
inference(superposition,[status(thm),theory(equality)],[c_35283,c_36705]) ).
tff(c_36774,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36705]) ).
tff(c_37021,plain,
! [X_582] : ( multiply(X_582,identity) = X_582 ),
inference(superposition,[status(thm),theory(equality)],[c_37011,c_36774]) ).
tff(c_24889,plain,
! [X_428,Y_429,Z_430] : ( multiply(multiply(X_428,Y_429),Z_430) = multiply(X_428,multiply(Y_429,Z_430)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24919,plain,
! [X_2,Z_430] : ( multiply(inverse(X_2),multiply(X_2,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24889]) ).
tff(c_24931,plain,
! [X_2,Z_430] : ( multiply(inverse(X_2),multiply(X_2,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24919]) ).
tff(c_26670,plain,
! [X_464,Z_465] : ( multiply(inverse(X_464),multiply(X_464,Z_465)) = Z_465 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24919]) ).
tff(c_27042,plain,
! [X_469,Z_470] : ( multiply(inverse(inverse(X_469)),Z_470) = multiply(X_469,Z_470) ),
inference(superposition,[status(thm),theory(equality)],[c_24931,c_26670]) ).
tff(c_26760,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26670]) ).
tff(c_27049,plain,
! [X_469] : ( multiply(X_469,identity) = X_469 ),
inference(superposition,[status(thm),theory(equality)],[c_27042,c_26760]) ).
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_24916,plain,
! [Z_430] : ( multiply(sk_c6,multiply(sk_c2,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_24889]) ).
tff(c_24930,plain,
! [Z_430] : ( multiply(sk_c6,multiply(sk_c2,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24916]) ).
tff(c_18588,plain,
! [X_339,Y_340,Z_341] : ( multiply(multiply(X_339,Y_340),Z_341) = multiply(X_339,multiply(Y_340,Z_341)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18618,plain,
! [X_2,Z_341] : ( multiply(inverse(X_2),multiply(X_2,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18588]) ).
tff(c_18630,plain,
! [X_2,Z_341] : ( multiply(inverse(X_2),multiply(X_2,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18618]) ).
tff(c_20281,plain,
! [X_376,Z_377] : ( multiply(inverse(X_376),multiply(X_376,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18618]) ).
tff(c_20797,plain,
! [X_384,Z_385] : ( multiply(inverse(inverse(X_384)),Z_385) = multiply(X_384,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_18630,c_20281]) ).
tff(c_20335,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20281]) ).
tff(c_20824,plain,
! [X_384] : ( multiply(X_384,identity) = X_384 ),
inference(superposition,[status(thm),theory(equality)],[c_20797,c_20335]) ).
tff(c_15546,plain,
! [X_260,Y_261,Z_262] : ( multiply(multiply(X_260,Y_261),Z_262) = multiply(X_260,multiply(Y_261,Z_262)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15579,plain,
! [Z_262] : ( multiply(sk_c6,multiply(sk_c2,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_15546]) ).
tff(c_15594,plain,
! [Z_262] : ( multiply(sk_c6,multiply(sk_c2,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15579]) ).
tff(c_11394,plain,
! [X_177,Y_178,Z_179] : ( multiply(multiply(X_177,Y_178),Z_179) = multiply(X_177,multiply(Y_178,Z_179)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11427,plain,
! [Z_179] : ( multiply(sk_c6,multiply(sk_c2,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_11394]) ).
tff(c_11442,plain,
! [Z_179] : ( multiply(sk_c6,multiply(sk_c2,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11427]) ).
tff(c_36,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_9357,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_107,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_46,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_92,plain,
inverse(sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_96,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_92,c_4]) ).
tff(c_10093,plain,
! [X_149,Y_150,Z_151] : ( multiply(multiply(X_149,Y_150),Z_151) = multiply(X_149,multiply(Y_150,Z_151)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10123,plain,
! [Z_151] : ( multiply(sk_c7,multiply(sk_c3,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_10093]) ).
tff(c_10147,plain,
! [Z_152] : ( multiply(sk_c7,multiply(sk_c3,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10123]) ).
tff(c_10159,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_107,c_10147]) ).
tff(c_10163,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9357,c_10159]) ).
tff(c_9390,plain,
! [X_135,Y_136,Z_137] : ( multiply(multiply(X_135,Y_136),Z_137) = multiply(X_135,multiply(Y_136,Z_137)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9423,plain,
! [Z_137] : ( multiply(sk_c7,multiply(sk_c3,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_9390]) ).
tff(c_9447,plain,
! [Z_138] : ( multiply(sk_c7,multiply(sk_c3,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9423]) ).
tff(c_9459,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_107,c_9447]) ).
tff(c_9463,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9357,c_9459]) ).
tff(c_12,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_9363,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_9551,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9463,c_9363]) ).
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_83,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_79,c_4]) ).
tff(c_9426,plain,
! [Z_137] : ( multiply(sk_c8,multiply(sk_c1,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_9390]) ).
tff(c_9637,plain,
! [Z_141] : ( multiply(sk_c8,multiply(sk_c1,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9426]) ).
tff(c_9649,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9551,c_9637]) ).
tff(c_9432,plain,
! [X_2,Z_137] : ( multiply(inverse(X_2),multiply(X_2,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9390]) ).
tff(c_9732,plain,
! [X_145,Z_146] : ( multiply(inverse(X_145),multiply(X_145,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9432]) ).
tff(c_9759,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9649,c_9732]) ).
tff(c_9822,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9759]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_118,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_8398,plain,
! [X_109,Y_110,Z_111] : ( multiply(multiply(X_109,Y_110),Z_111) = multiply(X_109,multiply(Y_110,Z_111)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8431,plain,
! [Z_111] : ( multiply(sk_c7,multiply(sk_c3,Z_111)) = multiply(identity,Z_111) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_8398]) ).
tff(c_8455,plain,
! [Z_112] : ( multiply(sk_c7,multiply(sk_c3,Z_112)) = Z_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8431]) ).
tff(c_8467,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_107,c_8455]) ).
tff(c_8471,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_8467]) ).
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_c7,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_c7,multiply(sk_c3,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164]) ).
tff(c_198,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_107,c_186]) ).
tff(c_202,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_198]) ).
tff(c_124,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_500,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_202,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_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_1378,plain,
multiply(inverse(sk_c1),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_500,c_184]) ).
tff(c_1384,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1378]) ).
tff(c_1424,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1384,c_184]) ).
tff(c_1430,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1424]) ).
tff(c_1436,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_500]) ).
tff(c_1308,plain,
! [X_36,Z_37] : ( multiply(inverse(X_36),multiply(X_36,Z_37)) = Z_37 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_1650,plain,
! [X_41,Z_42] : ( multiply(inverse(inverse(X_41)),Z_42) = multiply(X_41,Z_42) ),
inference(superposition,[status(thm),theory(equality)],[c_184,c_1308]) ).
tff(c_1353,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1308]) ).
tff(c_1660,plain,
! [X_41] : ( multiply(X_41,identity) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1650,c_1353]) ).
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_207,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_202,c_112]) ).
tff(c_260,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_281,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_207,c_260]) ).
tff(c_319,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_67,c_281]) ).
tff(c_391,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_319,c_184]) ).
tff(c_397,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_391]) ).
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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( 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_203,plain,
inverse(sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_215,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_202,c_203]) ).
tff(c_406,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_397,c_215]) ).
tff(c_409,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_67]) ).
tff(c_436,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_409,c_4]) ).
tff(c_475,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_436,c_184]) ).
tff(c_487,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_475]) ).
tff(c_492,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_487,c_409]) ).
tff(c_496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_406,c_492]) ).
tff(c_498,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_510,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_202,c_498]) ).
tff(c_514,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_510,c_4]) ).
tff(c_502,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_202,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_572,plain,
! [Z_21] : ( multiply(sk_c6,multiply(sk_c2,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_170]) ).
tff(c_584,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_502,c_572]) ).
tff(c_588,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_514,c_584]) ).
tff(c_591,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_588,c_500]) ).
tff(c_497,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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_532,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_202,c_202,c_202,c_202,c_202,c_202,c_497]) ).
tff(c_533,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_532]) ).
tff(c_1280,plain,
! [X1_35] :
( ( inverse(X1_35) != sk_c8 )
| ( multiply(X1_35,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_588,c_533]) ).
tff(c_1283,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_591,c_1280]) ).
tff(c_1299,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1283]) ).
tff(c_1300,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_532]) ).
tff(c_8037,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_1430,c_1660,c_1430,c_1430,c_1430,c_1660,c_1430,c_1430,c_2,c_1430,c_1430,c_1300]) ).
tff(c_8039,plain,
! [X2_106] :
( ( inverse(X2_106) != sk_c8 )
| ( multiply(X2_106,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_8037]) ).
tff(c_8067,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_1436,c_8039]) ).
tff(c_8088,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_8067]) ).
tff(c_8089,plain,
! [X3_7,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_8037]) ).
tff(c_8091,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8089]) ).
tff(c_1347,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_1308]) ).
tff(c_1362,plain,
multiply(sk_c6,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_510,c_1347]) ).
tff(c_1434,plain,
multiply(identity,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_1362]) ).
tff(c_1446,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1434]) ).
tff(c_1444,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_67]) ).
tff(c_1490,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1446,c_1444]) ).
tff(c_8093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8091,c_1490]) ).
tff(c_8359,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8089]) ).
tff(c_8361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8359,c_1490]) ).
tff(c_8362,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8367,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8362,c_4]) ).
tff(c_8564,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8471,c_8367]) ).
tff(c_8568,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8471,c_112]) ).
tff(c_8437,plain,
! [Z_111] : ( multiply(sk_c6,multiply(sk_c2,Z_111)) = multiply(identity,Z_111) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_8398]) ).
tff(c_8665,plain,
! [Z_116] : ( multiply(sk_c6,multiply(sk_c2,Z_116)) = Z_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8437]) ).
tff(c_8677,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_8568,c_8665]) ).
tff(c_8681,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8564,c_8677]) ).
tff(c_8363,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_8565,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8471,c_8363]) ).
tff(c_8685,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8681,c_8565]) ).
tff(c_8440,plain,
! [X_2,Z_111] : ( multiply(inverse(X_2),multiply(X_2,Z_111)) = multiply(identity,Z_111) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8398]) ).
tff(c_8714,plain,
! [X_117,Z_118] : ( multiply(inverse(X_117),multiply(X_117,Z_118)) = Z_118 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8440]) ).
tff(c_8747,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_83,c_8714]) ).
tff(c_10,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_8376,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_8363,c_10]) ).
tff(c_8380,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8376,c_4]) ).
tff(c_8741,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_8380,c_8714]) ).
tff(c_8951,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8747,c_8741]) ).
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_8391,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8363,c_8]) ).
tff(c_8563,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8471,c_8391]) ).
tff(c_8686,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8681,c_8563]) ).
tff(c_8952,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8951,c_8686]) ).
tff(c_8956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8685,c_8952]) ).
tff(c_8958,plain,
multiply(sk_c7,sk_c4) != sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_8970,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8958,c_36]) ).
tff(c_8974,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8970,c_4]) ).
tff(c_8995,plain,
! [X_121,Y_122,Z_123] : ( multiply(multiply(X_121,Y_122),Z_123) = multiply(X_121,multiply(Y_122,Z_123)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9031,plain,
! [Z_123] : ( multiply(sk_c6,multiply(sk_c2,Z_123)) = multiply(identity,Z_123) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_8995]) ).
tff(c_9149,plain,
! [Z_129] : ( multiply(sk_c6,multiply(sk_c2,Z_129)) = Z_129 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9031]) ).
tff(c_9161,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_112,c_9149]) ).
tff(c_9013,plain,
! [Z_123] : ( multiply(sk_c7,multiply(sk_c6,Z_123)) = multiply(identity,Z_123) ),
inference(superposition,[status(thm),theory(equality)],[c_8974,c_8995]) ).
tff(c_9250,plain,
! [Z_133] : ( multiply(sk_c7,multiply(sk_c6,Z_133)) = Z_133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9013]) ).
tff(c_9262,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9161,c_9250]) ).
tff(c_9272,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8974,c_9262]) ).
tff(c_9025,plain,
! [Z_123] : ( multiply(sk_c7,multiply(sk_c3,Z_123)) = multiply(identity,Z_123) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_8995]) ).
tff(c_9049,plain,
! [Z_124] : ( multiply(sk_c7,multiply(sk_c3,Z_124)) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9025]) ).
tff(c_9061,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_107,c_9049]) ).
tff(c_9065,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9061,c_8958]) ).
tff(c_9279,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9272,c_9065]) ).
tff(c_9268,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_9250]) ).
tff(c_9324,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9272,c_9268]) ).
tff(c_9285,plain,
multiply(sk_c2,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9272,c_112]) ).
tff(c_9340,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9324,c_9285]) ).
tff(c_9341,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9279,c_9340]) ).
tff(c_9343,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_9370,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9343,c_24]) ).
tff(c_9550,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9463,c_9370]) ).
tff(c_9807,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_9732]) ).
tff(c_9833,plain,
multiply(sk_c6,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9550,c_9807]) ).
tff(c_9937,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9822,c_9833]) ).
tff(c_9553,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9463,c_9343]) ).
tff(c_9849,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9822,c_9822,c_9553]) ).
tff(c_10065,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9937,c_9849]) ).
tff(c_10066,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_10168,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10163,c_10066]) ).
tff(c_10132,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = multiply(identity,Z_151) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10093]) ).
tff(c_10206,plain,
! [X_153,Z_154] : ( multiply(inverse(X_153),multiply(X_153,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10132]) ).
tff(c_10248,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_10206]) ).
tff(c_10262,plain,
multiply(sk_c6,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_10168,c_10248]) ).
tff(c_10071,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10066,c_4]) ).
tff(c_10166,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10163,c_10071]) ).
tff(c_10145,plain,
! [X_2,Z_151] : ( multiply(inverse(X_2),multiply(X_2,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10132]) ).
tff(c_10319,plain,
multiply(inverse(sk_c6),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10166,c_10145]) ).
tff(c_10325,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_10262,c_10168,c_10319]) ).
tff(c_9342,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
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_10084,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9343,c_20]) ).
tff(c_10165,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10163,c_10084]) ).
tff(c_10296,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10165,c_10145]) ).
tff(c_10302,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_9342,c_10296]) ).
tff(c_10438,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_10325,c_10302]) ).
tff(c_10442,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_10438,c_10145]) ).
tff(c_10448,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10442]) ).
tff(c_10170,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10163,c_9343]) ).
tff(c_10333,plain,
multiply(sk_c2,sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_10325,c_10325,c_10170]) ).
tff(c_10491,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10448,c_10333]) ).
tff(c_10492,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_10497,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10492,c_4]) ).
tff(c_11412,plain,
! [Z_179] : ( multiply(sk_c7,multiply(sk_c6,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_10497,c_11394]) ).
tff(c_11646,plain,
! [Z_189] : ( multiply(sk_c7,multiply(sk_c6,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11412]) ).
tff(c_11918,plain,
! [Z_195] : ( multiply(sk_c7,Z_195) = multiply(sk_c2,Z_195) ),
inference(superposition,[status(thm),theory(equality)],[c_11442,c_11646]) ).
tff(c_11421,plain,
! [Z_179] : ( multiply(sk_c7,multiply(sk_c3,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_11394]) ).
tff(c_11445,plain,
! [Z_180] : ( multiply(sk_c7,multiply(sk_c3,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11421]) ).
tff(c_11457,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_107,c_11445]) ).
tff(c_11930,plain,
multiply(sk_c2,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11918,c_11457]) ).
tff(c_12042,plain,
multiply(sk_c6,sk_c7) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_11930,c_11442]) ).
tff(c_10524,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_10560,plain,
! [Z_158] : ( multiply(sk_c6,multiply(sk_c2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_10524]) ).
tff(c_10575,plain,
! [Z_158] : ( multiply(sk_c6,multiply(sk_c2,Z_158)) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10560]) ).
tff(c_10545,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c6,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_10497,c_10524]) ).
tff(c_10753,plain,
! [Z_166] : ( multiply(sk_c7,multiply(sk_c6,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10545]) ).
tff(c_11094,plain,
! [Z_173] : ( multiply(sk_c7,Z_173) = multiply(sk_c2,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_10575,c_10753]) ).
tff(c_11154,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10497,c_11094]) ).
tff(c_11185,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11154,c_9343]) ).
tff(c_10511,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_10557,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c1,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_10524]) ).
tff(c_10705,plain,
! [Z_165] : ( multiply(sk_c8,multiply(sk_c1,Z_165)) = Z_165 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10557]) ).
tff(c_10723,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_10511,c_10705]) ).
tff(c_10542,plain,
! [Z_158] : ( multiply(sk_c1,multiply(sk_c8,Z_158)) = multiply(sk_c7,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_10511,c_10524]) ).
tff(c_10730,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_10723,c_10542]) ).
tff(c_10736,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10511,c_10730]) ).
tff(c_11017,plain,
! [Z_172] : ( multiply(sk_c3,multiply(sk_c7,Z_172)) = multiply(sk_c4,Z_172) ),
inference(superposition,[status(thm),theory(equality)],[c_107,c_10524]) ).
tff(c_11044,plain,
multiply(sk_c4,sk_c7) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_10736,c_11017]) ).
tff(c_11060,plain,
multiply(sk_c4,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_11044]) ).
tff(c_10563,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10524]) ).
tff(c_11245,plain,
! [X_175,Z_176] : ( multiply(inverse(X_175),multiply(X_175,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10563]) ).
tff(c_11287,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11060,c_11245]) ).
tff(c_11380,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11287]) ).
tff(c_11382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11185,c_11380]) ).
tff(c_11383,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_9347,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9342,c_4]) ).
tff(c_11415,plain,
! [Z_179] : ( multiply(sk_c8,multiply(sk_c5,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_9347,c_11394]) ).
tff(c_11731,plain,
! [Z_191] : ( multiply(sk_c8,multiply(sk_c5,Z_191)) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11415]) ).
tff(c_11743,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_11383,c_11731]) ).
tff(c_11658,plain,
! [Z_179] : ( multiply(sk_c7,Z_179) = multiply(sk_c2,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_11442,c_11646]) ).
tff(c_11409,plain,
! [Z_179] : ( multiply(sk_c5,multiply(sk_c8,Z_179)) = multiply(sk_c7,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_11383,c_11394]) ).
tff(c_11980,plain,
! [Z_196] : ( multiply(sk_c5,multiply(sk_c8,Z_196)) = multiply(sk_c2,Z_196) ),
inference(demodulation,[status(thm),theory(equality)],[c_11658,c_11409]) ).
tff(c_11995,plain,
multiply(sk_c5,sk_c8) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_11743,c_11980]) ).
tff(c_12011,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11383,c_11995]) ).
tff(c_12054,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12011,c_11442]) ).
tff(c_12106,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_12042,c_12054]) ).
tff(c_11960,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10497,c_11918]) ).
tff(c_12023,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11960,c_9343]) ).
tff(c_12123,plain,
sk_c4 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12106,c_12023]) ).
tff(c_11665,plain,
! [Z_190] : ( multiply(sk_c3,multiply(sk_c7,Z_190)) = multiply(sk_c4,Z_190) ),
inference(superposition,[status(thm),theory(equality)],[c_107,c_11394]) ).
tff(c_11683,plain,
multiply(sk_c4,sk_c4) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_11457,c_11665]) ).
tff(c_11696,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_11683]) ).
tff(c_11430,plain,
! [X_2,Z_179] : ( multiply(inverse(X_2),multiply(X_2,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11394]) ).
tff(c_12143,plain,
! [X_198,Z_199] : ( multiply(inverse(X_198),multiply(X_198,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11430]) ).
tff(c_12182,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_11696,c_12143]) ).
tff(c_12223,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12182]) ).
tff(c_12225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12123,c_12223]) ).
tff(c_12227,plain,
multiply(sk_c3,sk_c7) != sk_c4,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_12248,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12227,c_42]) ).
tff(c_12252,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12248,c_4]) ).
tff(c_15564,plain,
! [Z_262] : ( multiply(sk_c7,multiply(sk_c6,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_12252,c_15546]) ).
tff(c_15809,plain,
! [Z_273] : ( multiply(sk_c7,multiply(sk_c6,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15564]) ).
tff(c_16014,plain,
! [Z_277] : ( multiply(sk_c7,Z_277) = multiply(sk_c2,Z_277) ),
inference(superposition,[status(thm),theory(equality)],[c_15594,c_15809]) ).
tff(c_16041,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16014,c_12252]) ).
tff(c_12275,plain,
! [X_200,Y_201,Z_202] : ( multiply(multiply(X_200,Y_201),Z_202) = multiply(X_200,multiply(Y_201,Z_202)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12314,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12275]) ).
tff(c_14042,plain,
! [X_235,Z_236] : ( multiply(inverse(X_235),multiply(X_235,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12314]) ).
tff(c_12327,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12314]) ).
tff(c_14344,plain,
! [X_240,Z_241] : ( multiply(inverse(inverse(X_240)),Z_241) = multiply(X_240,Z_241) ),
inference(superposition,[status(thm),theory(equality)],[c_14042,c_12327]) ).
tff(c_14087,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14042]) ).
tff(c_14354,plain,
! [X_240] : ( multiply(X_240,identity) = X_240 ),
inference(superposition,[status(thm),theory(equality)],[c_14344,c_14087]) ).
tff(c_12264,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_12311,plain,
! [Z_202] : ( multiply(sk_c6,multiply(sk_c2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_12275]) ).
tff(c_12517,plain,
! [Z_209] : ( multiply(sk_c6,multiply(sk_c2,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12311]) ).
tff(c_12529,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12264,c_12517]) ).
tff(c_12296,plain,
! [Z_202] : ( multiply(sk_c7,multiply(sk_c6,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_12252,c_12275]) ).
tff(c_12823,plain,
! [Z_216] : ( multiply(sk_c7,multiply(sk_c6,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12296]) ).
tff(c_12835,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12529,c_12823]) ).
tff(c_12845,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12252,c_12835]) ).
tff(c_12860,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12845,c_92]) ).
tff(c_14022,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12860,c_4]) ).
tff(c_14118,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_14022,c_12327]) ).
tff(c_14130,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14118]) ).
tff(c_14135,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14130,c_12860]) ).
tff(c_12841,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_12823]) ).
tff(c_14026,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12845,c_12841]) ).
tff(c_14029,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14026,c_67]) ).
tff(c_14144,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14135,c_14029]) ).
tff(c_12937,plain,
! [X_217,Z_218] : ( multiply(inverse(X_217),multiply(X_217,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12314]) ).
tff(c_13152,plain,
! [X_221,Z_222] : ( multiply(inverse(inverse(X_221)),Z_222) = multiply(X_221,Z_222) ),
inference(superposition,[status(thm),theory(equality)],[c_12327,c_12937]) ).
tff(c_12976,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12937]) ).
tff(c_13162,plain,
! [X_221] : ( multiply(X_221,identity) = X_221 ),
inference(superposition,[status(thm),theory(equality)],[c_13152,c_12976]) ).
tff(c_12880,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12860,c_4]) ).
tff(c_12899,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_12880,c_2]) ).
tff(c_12908,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12899,c_12860]) ).
tff(c_12884,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12845,c_12841]) ).
tff(c_12887,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12884,c_67]) ).
tff(c_12922,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12908,c_12887]) ).
tff(c_12226,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_12541,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c6,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12296]) ).
tff(c_12553,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12529,c_12541]) ).
tff(c_12563,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12252,c_12553]) ).
tff(c_38,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_12269,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12227,c_38]) ).
tff(c_12568,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12563,c_12269]) ).
tff(c_12368,plain,
! [Z_205] : ( multiply(sk_c6,multiply(sk_c2,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12311]) ).
tff(c_12380,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12264,c_12368]) ).
tff(c_12391,plain,
! [Z_206] : ( multiply(sk_c7,multiply(sk_c6,Z_206)) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12296]) ).
tff(c_12403,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12380,c_12391]) ).
tff(c_12413,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12252,c_12403]) ).
tff(c_12418,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12413,c_12269]) ).
tff(c_12366,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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( 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_12248,c_50]) ).
tff(c_12367,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_12366]) ).
tff(c_12437,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12413,c_12367]) ).
tff(c_12506,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12418,c_12437]) ).
tff(c_12515,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12226,c_12506]) ).
tff(c_12516,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_12366]) ).
tff(c_12533,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_12516]) ).
tff(c_12650,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12563,c_12533]) ).
tff(c_12760,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12568,c_12650]) ).
tff(c_12770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12226,c_12760]) ).
tff(c_12771,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_12516]) ).
tff(c_12868,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12845,c_12845,c_2,c_12845,c_12845,c_12771]) ).
tff(c_12869,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(splitLeft,[status(thm)],[c_12868]) ).
tff(c_14008,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13162,c_12922,c_12922,c_12869]) ).
tff(c_14010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14008,c_12908]) ).
tff(c_14011,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_12868]) ).
tff(c_15534,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14354,c_14144,c_14011]) ).
tff(c_15536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15534,c_14135]) ).
tff(c_15538,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_16120,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16041,c_15538]) ).
tff(c_12243,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_15576,plain,
! [Z_262] : ( multiply(sk_c8,multiply(sk_c1,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_15546]) ).
tff(c_15722,plain,
! [Z_270] : ( multiply(sk_c8,multiply(sk_c1,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15576]) ).
tff(c_15734,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12243,c_15722]) ).
tff(c_15745,plain,
! [Z_271] : ( multiply(sk_c1,multiply(sk_c8,Z_271)) = multiply(sk_c7,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_12243,c_15546]) ).
tff(c_15760,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_15734,c_15745]) ).
tff(c_15773,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12243,c_15760]) ).
tff(c_15582,plain,
! [X_2,Z_262] : ( multiply(inverse(X_2),multiply(X_2,Z_262)) = multiply(identity,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15546]) ).
tff(c_16264,plain,
! [X_280,Z_281] : ( multiply(inverse(X_280),multiply(X_280,Z_281)) = Z_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15582]) ).
tff(c_16324,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15773,c_16264]) ).
tff(c_16378,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16324]) ).
tff(c_16380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16120,c_16378]) ).
tff(c_16381,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_16386,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16381,c_4]) ).
tff(c_17830,plain,
! [X_317,Y_318,Z_319] : ( multiply(multiply(X_317,Y_318),Z_319) = multiply(X_317,multiply(Y_318,Z_319)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17860,plain,
! [Z_319] : ( multiply(sk_c6,multiply(sk_c2,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_17830]) ).
tff(c_17875,plain,
! [Z_319] : ( multiply(sk_c6,multiply(sk_c2,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17860]) ).
tff(c_17848,plain,
! [Z_319] : ( multiply(sk_c7,multiply(sk_c6,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_16386,c_17830]) ).
tff(c_18073,plain,
! [Z_330] : ( multiply(sk_c7,multiply(sk_c6,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17848]) ).
tff(c_18264,plain,
! [Z_334] : ( multiply(sk_c7,Z_334) = multiply(sk_c2,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_17875,c_18073]) ).
tff(c_18306,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16386,c_18264]) ).
tff(c_16399,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_16869,plain,
! [X_293,Y_294,Z_295] : ( multiply(multiply(X_293,Y_294),Z_295) = multiply(X_293,multiply(Y_294,Z_295)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16902,plain,
! [Z_295] : ( multiply(sk_c6,multiply(sk_c2,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_16869]) ).
tff(c_17155,plain,
! [Z_303] : ( multiply(sk_c6,multiply(sk_c2,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16902]) ).
tff(c_17167,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16399,c_17155]) ).
tff(c_16890,plain,
! [Z_295] : ( multiply(sk_c7,multiply(sk_c6,Z_295)) = multiply(identity,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_16386,c_16869]) ).
tff(c_17548,plain,
! [Z_313] : ( multiply(sk_c7,multiply(sk_c6,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16890]) ).
tff(c_17560,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17167,c_17548]) ).
tff(c_17570,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16386,c_17560]) ).
tff(c_16382,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_17582,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17570,c_16382]) ).
tff(c_16416,plain,
! [X_282,Y_283,Z_284] : ( multiply(multiply(X_282,Y_283),Z_284) = multiply(X_282,multiply(Y_283,Z_284)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16452,plain,
! [Z_284] : ( multiply(sk_c6,multiply(sk_c2,Z_284)) = multiply(identity,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_16416]) ).
tff(c_16496,plain,
! [Z_287] : ( multiply(sk_c6,multiply(sk_c2,Z_287)) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16452]) ).
tff(c_16508,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16399,c_16496]) ).
tff(c_16440,plain,
! [Z_284] : ( multiply(sk_c7,multiply(sk_c6,Z_284)) = multiply(identity,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_16386,c_16416]) ).
tff(c_16519,plain,
! [Z_288] : ( multiply(sk_c7,multiply(sk_c6,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16440]) ).
tff(c_16531,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16508,c_16519]) ).
tff(c_16541,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16386,c_16531]) ).
tff(c_16688,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16541,c_92]) ).
tff(c_16713,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16688,c_4]) ).
tff(c_16754,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_16713,c_2]) ).
tff(c_16763,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16754,c_16688]) ).
tff(c_16537,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_16519]) ).
tff(c_16726,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16541,c_16537]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_16404,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_16681,plain,
multiply(identity,sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16541,c_16404]) ).
tff(c_16690,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16681]) ).
tff(c_16697,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_16690,c_67]) ).
tff(c_16727,plain,
inverse(identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_16726,c_16697]) ).
tff(c_16770,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16763,c_16727]) ).
tff(c_16686,plain,
multiply(sk_c3,identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_16541,c_12227]) ).
tff(c_16858,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16770,c_2,c_16754,c_16686]) ).
tff(c_16859,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_16884,plain,
! [Z_295] : ( multiply(sk_c5,multiply(sk_c8,Z_295)) = multiply(sk_c7,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_16859,c_16869]) ).
tff(c_17738,plain,
! [Z_316] : ( multiply(sk_c5,multiply(sk_c8,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17570,c_16884]) ).
tff(c_17768,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_83,c_17738]) ).
tff(c_12231,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12226,c_4]) ).
tff(c_17765,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12231,c_17738]) ).
tff(c_17810,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17768,c_17765]) ).
tff(c_17579,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17570,c_16859]) ).
tff(c_17812,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17810,c_17579]) ).
tff(c_17818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17582,c_17812]) ).
tff(c_17820,plain,
multiply(sk_c2,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18341,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18306,c_17820]) ).
tff(c_17819,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_17851,plain,
! [Z_319] : ( multiply(sk_c8,multiply(sk_c5,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_12231,c_17830]) ).
tff(c_18025,plain,
! [Z_329] : ( multiply(sk_c8,multiply(sk_c5,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17851]) ).
tff(c_18043,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17819,c_18025]) ).
tff(c_17845,plain,
! [Z_319] : ( multiply(sk_c5,multiply(sk_c8,Z_319)) = multiply(sk_c7,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_17819,c_17830]) ).
tff(c_18050,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_18043,c_17845]) ).
tff(c_18056,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17819,c_18050]) ).
tff(c_17863,plain,
! [X_2,Z_319] : ( multiply(inverse(X_2),multiply(X_2,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17830]) ).
tff(c_18459,plain,
! [X_337,Z_338] : ( multiply(inverse(X_337),multiply(X_337,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17863]) ).
tff(c_18486,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18056,c_18459]) ).
tff(c_18540,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18486]) ).
tff(c_18542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18341,c_18540]) ).
tff(c_18544,plain,
inverse(sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_18578,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18544,c_44]) ).
tff(c_18543,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_18548,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18543,c_4]) ).
tff(c_18609,plain,
! [Z_341] : ( multiply(sk_c8,multiply(sk_c5,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_18548,c_18588]) ).
tff(c_18745,plain,
! [Z_348] : ( multiply(sk_c8,multiply(sk_c5,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18609]) ).
tff(c_18757,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18578,c_18745]) ).
tff(c_20308,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18757,c_20281]) ).
tff(c_20345,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20308]) ).
tff(c_18615,plain,
! [Z_341] : ( multiply(sk_c6,multiply(sk_c2,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_18588]) ).
tff(c_18629,plain,
! [Z_341] : ( multiply(sk_c6,multiply(sk_c2,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18615]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_18557,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18544,c_48]) ).
tff(c_18561,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18557,c_4]) ).
tff(c_18606,plain,
! [Z_341] : ( multiply(sk_c7,multiply(sk_c6,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_18561,c_18588]) ).
tff(c_18823,plain,
! [Z_350] : ( multiply(sk_c7,multiply(sk_c6,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18606]) ).
tff(c_18992,plain,
! [Z_354] : ( multiply(sk_c7,Z_354) = multiply(sk_c2,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_18629,c_18823]) ).
tff(c_19010,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18992,c_18561]) ).
tff(c_18835,plain,
! [Z_341] : ( multiply(sk_c7,Z_341) = multiply(sk_c2,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_18629,c_18823]) ).
tff(c_18768,plain,
! [Z_349] : ( multiply(sk_c5,multiply(sk_c8,Z_349)) = multiply(sk_c7,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_18578,c_18588]) ).
tff(c_18783,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_18757,c_18768]) ).
tff(c_18799,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18578,c_18783]) ).
tff(c_19022,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18799,c_18992]) ).
tff(c_19092,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19022,c_18629]) ).
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_20181,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_19092,c_6]) ).
tff(c_20192,plain,
! [Z_374] : ( multiply(sk_c2,Z_374) = Z_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_18629,c_18835,c_18835,c_20181]) ).
tff(c_20207,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_19010,c_20192]) ).
tff(c_18838,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_18823]) ).
tff(c_20211,plain,
! [Z_375] : ( multiply(sk_c7,multiply(sk_c7,Z_375)) = multiply(sk_c7,Z_375) ),
inference(superposition,[status(thm),theory(equality)],[c_18799,c_6]) ).
tff(c_20238,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_18561,c_20211]) ).
tff(c_20247,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18561,c_18838,c_20238]) ).
tff(c_19217,plain,
! [X_358,Z_359] : ( multiply(inverse(X_358),multiply(X_358,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18618]) ).
tff(c_19546,plain,
! [X_364,Z_365] : ( multiply(inverse(inverse(X_364)),Z_365) = multiply(X_364,Z_365) ),
inference(superposition,[status(thm),theory(equality)],[c_19217,c_18630]) ).
tff(c_19259,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19217]) ).
tff(c_19566,plain,
! [X_364] : ( multiply(X_364,identity) = X_364 ),
inference(superposition,[status(thm),theory(equality)],[c_19546,c_19259]) ).
tff(c_19110,plain,
! [Z_5] : ( multiply(sk_c6,multiply(sk_c7,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_19092,c_6]) ).
tff(c_19121,plain,
! [Z_356] : ( multiply(sk_c2,Z_356) = Z_356 ),
inference(demodulation,[status(thm),theory(equality)],[c_18835,c_18629,c_18835,c_19110]) ).
tff(c_19127,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_19121,c_19010]) ).
tff(c_19114,plain,
! [Z_5] : ( multiply(sk_c2,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_18835,c_18629,c_18835,c_19110]) ).
tff(c_18998,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_18992,c_18838]) ).
tff(c_19118,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19114,c_18998]) ).
tff(c_19144,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19118,c_67]) ).
tff(c_19196,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19127,c_19144]) ).
tff(c_19187,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19127,c_18557]) ).
tff(c_19205,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19196,c_19187]) ).
tff(c_18646,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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( 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_18557,c_50]) ).
tff(c_18711,plain,
! [X2_346] :
( ( inverse(X2_346) != sk_c8 )
| ( multiply(X2_346,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_18646]) ).
tff(c_18718,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18578,c_18711]) ).
tff(c_18730,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18543,c_18718]) ).
tff(c_18731,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18646]) ).
tff(c_18964,plain,
! [X1_353] :
( ( inverse(X1_353) != sk_c8 )
| ( multiply(X1_353,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_18731]) ).
tff(c_18975,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18578,c_18964]) ).
tff(c_18987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18543,c_18975]) ).
tff(c_18988,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18731]) ).
tff(c_19102,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c2,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18835,c_18988]) ).
tff(c_19103,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19102]) ).
tff(c_20171,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19566,c_19205,c_19127,c_19127,c_19103]) ).
tff(c_20173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20171,c_19196]) ).
tff(c_20174,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c2,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_19102]) ).
tff(c_24828,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20824,c_20345,c_20207,c_2,c_20247,c_20345,c_20174]) ).
tff(c_20252,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20247,c_67]) ).
tff(c_20272,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20207,c_20252]) ).
tff(c_24830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24828,c_20272]) ).
tff(c_24831,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_24836,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24831,c_4]) ).
tff(c_24913,plain,
! [Z_430] : ( multiply(sk_c7,multiply(sk_c6,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_24836,c_24889]) ).
tff(c_25152,plain,
! [Z_438] : ( multiply(sk_c7,multiply(sk_c6,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24913]) ).
tff(c_25235,plain,
! [Z_441] : ( multiply(sk_c7,Z_441) = multiply(sk_c2,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_24930,c_25152]) ).
tff(c_25259,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25235,c_24836]) ).
tff(c_25299,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_25259,c_24930]) ).
tff(c_24845,plain,
inverse(sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_24849,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24845,c_4]) ).
tff(c_25277,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24849,c_25235]) ).
tff(c_26694,plain,
multiply(inverse(sk_c2),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_25277,c_26670]) ).
tff(c_26769,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_25299,c_67,c_26694]) ).
tff(c_24832,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_24878,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24832,c_14]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_24857,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24832,c_16]) ).
tff(c_24861,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24857,c_4]) ).
tff(c_24907,plain,
! [Z_430] : ( multiply(sk_c8,multiply(sk_c5,Z_430)) = multiply(identity,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_24861,c_24889]) ).
tff(c_24933,plain,
! [Z_431] : ( multiply(sk_c8,multiply(sk_c5,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24907]) ).
tff(c_24945,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24878,c_24933]) ).
tff(c_26724,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24945,c_26670]) ).
tff(c_26775,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26724]) ).
tff(c_26793,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26775,c_24831]) ).
tff(c_26857,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26769,c_26793]) ).
tff(c_26864,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26857,c_4]) ).
tff(c_26944,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_26864,c_24931]) ).
tff(c_26956,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26944]) ).
tff(c_26963,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26956,c_26769]) ).
tff(c_25167,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_25152]) ).
tff(c_26786,plain,
multiply(identity,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_26775,c_25167]) ).
tff(c_26796,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26786]) ).
tff(c_25387,plain,
! [X_443,Z_444] : ( multiply(inverse(X_443),multiply(X_443,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24919]) ).
tff(c_25441,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24945,c_25387]) ).
tff(c_25492,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25441]) ).
tff(c_25506,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25492,c_24878]) ).
tff(c_25164,plain,
! [Z_430] : ( multiply(sk_c7,Z_430) = multiply(sk_c2,Z_430) ),
inference(superposition,[status(thm),theory(equality)],[c_24930,c_25152]) ).
tff(c_24970,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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( 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_24831,c_50]) ).
tff(c_25127,plain,
! [X2_437] :
( ( inverse(X2_437) != sk_c8 )
| ( multiply(X2_437,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_24970]) ).
tff(c_25138,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24878,c_25127]) ).
tff(c_25150,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24857,c_25138]) ).
tff(c_25151,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_24970]) ).
tff(c_25307,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c2,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25164,c_25151]) ).
tff(c_25308,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_25307]) ).
tff(c_26580,plain,
! [X1_462] :
( ( inverse(X1_462) != sk_c8 )
| ( multiply(X1_462,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25492,c_25308]) ).
tff(c_26587,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_25506,c_26580]) ).
tff(c_26604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24857,c_26587]) ).
tff(c_26605,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c2,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_25307]) ).
tff(c_35200,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_27049,c_26963,c_26775,c_26963,c_27049,c_26963,c_2,c_26796,c_26775,c_26775,c_26605]) ).
tff(c_35202,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_35200]) ).
tff(c_26807,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26796,c_67]) ).
tff(c_26868,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_26769,c_26807]) ).
tff(c_26961,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26956,c_26868]) ).
tff(c_35204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35202,c_26961]) ).
tff(c_35206,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_35200]) ).
tff(c_35208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35206,c_26961]) ).
tff(c_35210,plain,
inverse(sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_35227,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35210,c_44]) ).
tff(c_35209,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_35214,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35209,c_4]) ).
tff(c_35263,plain,
! [Z_549] : ( multiply(sk_c8,multiply(sk_c5,Z_549)) = multiply(identity,Z_549) ),
inference(superposition,[status(thm),theory(equality)],[c_35214,c_35245]) ).
tff(c_35372,plain,
! [Z_554] : ( multiply(sk_c8,multiply(sk_c5,Z_554)) = Z_554 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35263]) ).
tff(c_35384,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35227,c_35372]) ).
tff(c_36744,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35384,c_36705]) ).
tff(c_36785,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36744]) ).
tff(c_35266,plain,
! [Z_549] : ( multiply(sk_c7,multiply(sk_c6,Z_549)) = multiply(identity,Z_549) ),
inference(superposition,[status(thm),theory(equality)],[c_24836,c_35245]) ).
tff(c_35395,plain,
! [Z_555] : ( multiply(sk_c7,multiply(sk_c6,Z_555)) = Z_555 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35266]) ).
tff(c_35407,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71,c_35395]) ).
tff(c_36793,plain,
multiply(identity,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_36785,c_35407]) ).
tff(c_36802,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36793]) ).
tff(c_35269,plain,
! [Z_549] : ( multiply(sk_c6,multiply(sk_c2,Z_549)) = multiply(identity,Z_549) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_35245]) ).
tff(c_35452,plain,
! [Z_557] : ( multiply(sk_c6,multiply(sk_c2,Z_557)) = Z_557 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35269]) ).
tff(c_35281,plain,
! [Z_549] : ( multiply(sk_c7,multiply(sk_c6,Z_549)) = Z_549 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35266]) ).
tff(c_35478,plain,
! [Z_558] : ( multiply(sk_c7,Z_558) = multiply(sk_c2,Z_558) ),
inference(superposition,[status(thm),theory(equality)],[c_35452,c_35281]) ).
tff(c_35496,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35478,c_24836]) ).
tff(c_36877,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36802,c_35496]) ).
tff(c_35602,plain,
! [X_560,Z_561] : ( multiply(inverse(X_560),multiply(X_560,Z_561)) = Z_561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35272]) ).
tff(c_35653,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35384,c_35602]) ).
tff(c_35698,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35653]) ).
tff(c_35711,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35698,c_35227]) ).
tff(c_35458,plain,
! [Z_557] : ( multiply(sk_c7,Z_557) = multiply(sk_c2,Z_557) ),
inference(superposition,[status(thm),theory(equality)],[c_35452,c_35281]) ).
tff(c_35286,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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( 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_24831,c_50]) ).
tff(c_35351,plain,
! [X2_553] :
( ( inverse(X2_553) != sk_c8 )
| ( multiply(X2_553,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_35286]) ).
tff(c_35358,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35227,c_35351]) ).
tff(c_35370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35209,c_35358]) ).
tff(c_35371,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_35286]) ).
tff(c_35515,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c2,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35458,c_35371]) ).
tff(c_35516,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_35515]) ).
tff(c_36661,plain,
! [X1_577] :
( ( inverse(X1_577) != sk_c8 )
| ( multiply(X1_577,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35698,c_35516]) ).
tff(c_36664,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35711,c_36661]) ).
tff(c_36680,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35209,c_36664]) ).
tff(c_36681,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c2,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_35515]) ).
tff(c_43927,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_37021,c_36877,c_36785,c_36877,c_37021,c_36877,c_2,c_36802,c_36785,c_36785,c_36681]) ).
tff(c_43929,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_43927]) ).
tff(c_36799,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36785,c_24831]) ).
tff(c_36878,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36877,c_36799]) ).
tff(c_43931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43929,c_36878]) ).
tff(c_43933,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_43927]) ).
tff(c_43935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43933,c_36878]) ).
tff(c_43937,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_43982,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_43937,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_43950,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43937,c_28]) ).
tff(c_43954,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43950,c_4]) ).
tff(c_43995,plain,
! [X_651,Y_652,Z_653] : ( multiply(multiply(X_651,Y_652),Z_653) = multiply(X_651,multiply(Y_652,Z_653)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44016,plain,
! [Z_653] : ( multiply(sk_c8,multiply(sk_c5,Z_653)) = multiply(identity,Z_653) ),
inference(superposition,[status(thm),theory(equality)],[c_43954,c_43995]) ).
tff(c_44657,plain,
! [Z_674] : ( multiply(sk_c8,multiply(sk_c5,Z_674)) = Z_674 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44016]) ).
tff(c_44669,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43982,c_44657]) ).
tff(c_44022,plain,
! [X_2,Z_653] : ( multiply(inverse(X_2),multiply(X_2,Z_653)) = multiply(identity,Z_653) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43995]) ).
tff(c_44716,plain,
! [X_677,Z_678] : ( multiply(inverse(X_677),multiply(X_677,Z_678)) = Z_678 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44022]) ).
tff(c_44740,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44669,c_44716]) ).
tff(c_44777,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44740]) ).
tff(c_43936,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_43941,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43936,c_4]) ).
tff(c_44019,plain,
! [Z_653] : ( multiply(sk_c7,multiply(sk_c6,Z_653)) = multiply(identity,Z_653) ),
inference(superposition,[status(thm),theory(equality)],[c_43941,c_43995]) ).
tff(c_44683,plain,
! [Z_675] : ( multiply(sk_c7,multiply(sk_c6,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44019]) ).
tff(c_44036,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_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( 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_43936,c_50]) ).
tff(c_44142,plain,
! [X2_658] :
( ( inverse(X2_658) != sk_c8 )
| ( multiply(X2_658,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_44036]) ).
tff(c_44149,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43982,c_44142]) ).
tff(c_44161,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_44149]) ).
tff(c_44162,plain,
! [X3_7,X5_6,X1_8] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_44036]) ).
tff(c_44268,plain,
! [X1_663] :
( ( inverse(X1_663) != sk_c8 )
| ( multiply(X1_663,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_44162]) ).
tff(c_44275,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43982,c_44268]) ).
tff(c_44287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_44275]) ).
tff(c_44288,plain,
! [X5_6,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_44162]) ).
tff(c_44394,plain,
! [X3_668] :
( ( inverse(X3_668) != sk_c6 )
| ( multiply(X3_668,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_44288]) ).
tff(c_44405,plain,
( ( inverse(inverse(sk_c6)) != sk_c6 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44394]) ).
tff(c_44410,plain,
( ( inverse(sk_c7) != sk_c6 )
| ( sk_c7 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43936,c_44405]) ).
tff(c_44411,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_44410]) ).
tff(c_44303,plain,
! [Z_665] : ( multiply(sk_c8,multiply(sk_c5,Z_665)) = Z_665 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44016]) ).
tff(c_44315,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43982,c_44303]) ).
tff(c_44523,plain,
! [X_671,Z_672] : ( multiply(inverse(X_671),multiply(X_671,Z_672)) = Z_672 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44022]) ).
tff(c_44547,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44315,c_44523]) ).
tff(c_44578,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44547]) ).
tff(c_44580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44411,c_44578]) ).
tff(c_44582,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_44410]) ).
tff(c_44592,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44582,c_43936]) ).
tff(c_44604,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44592,c_4]) ).
tff(c_44615,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_44604,c_2]) ).
tff(c_44625,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44615,c_44592]) ).
tff(c_44581,plain,
inverse(sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_44410]) ).
tff(c_44608,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44582,c_44581]) ).
tff(c_44624,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44615,c_44608]) ).
tff(c_44642,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44625,c_44624]) ).
tff(c_44643,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_44288]) ).
tff(c_44690,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_44683,c_44643]) ).
tff(c_44699,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43936,c_44690]) ).
tff(c_44783,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44777,c_44699]) ).
tff(c_44789,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44777,c_43936]) ).
tff(c_44837,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44789,c_4]) ).
tff(c_44033,plain,
! [X_2,Z_653] : ( multiply(inverse(X_2),multiply(X_2,Z_653)) = Z_653 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44022]) ).
tff(c_44844,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_44837,c_44033]) ).
tff(c_44856,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44844]) ).
tff(c_44858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44783,c_44856]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP267-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:31:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 13.06/4.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.30/4.75
% 13.30/4.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.42/4.84
% 13.42/4.84 Inference rules
% 13.42/4.84 ----------------------
% 13.42/4.84 #Ref : 0
% 13.42/4.84 #Sup : 11233
% 13.42/4.84 #Fact : 0
% 13.42/4.84 #Define : 0
% 13.42/4.84 #Split : 62
% 13.42/4.84 #Chain : 0
% 13.42/4.84 #Close : 0
% 13.42/4.84
% 13.42/4.84 Ordering : KBO
% 13.42/4.84
% 13.42/4.84 Simplification rules
% 13.42/4.84 ----------------------
% 13.42/4.84 #Subsume : 5
% 13.42/4.84 #Demod : 16475
% 13.42/4.84 #Tautology : 8500
% 13.42/4.84 #SimpNegUnit : 55
% 13.42/4.84 #BackRed : 702
% 13.42/4.84
% 13.42/4.84 #Partial instantiations: 0
% 13.42/4.84 #Strategies tried : 1
% 13.42/4.84
% 13.42/4.84 Timing (in seconds)
% 13.42/4.84 ----------------------
% 13.42/4.85 Preprocessing : 0.47
% 13.42/4.85 Parsing : 0.20
% 13.42/4.85 CNF conversion : 0.02
% 13.42/4.85 Main loop : 3.10
% 13.42/4.85 Inferencing : 0.95
% 13.42/4.85 Reduction : 1.41
% 13.42/4.85 Demodulation : 1.20
% 13.42/4.85 BG Simplification : 0.10
% 13.42/4.85 Subsumption : 0.39
% 13.42/4.85 Abstraction : 0.13
% 13.42/4.85 MUC search : 0.00
% 13.42/4.85 Cooper : 0.00
% 13.42/4.85 Total : 3.77
% 13.42/4.85 Index Insertion : 0.00
% 13.42/4.85 Index Deletion : 0.00
% 13.42/4.85 Index Matching : 0.00
% 13.42/4.85 BG Taut test : 0.00
%------------------------------------------------------------------------------