TSTP Solution File: GRP229-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP229-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:33 EDT 2023
% Result : Unsatisfiable 11.01s 3.88s
% Output : CNFRefutation 11.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 43
% Syntax : Number of formulae : 554 ( 434 unt; 11 typ; 0 def)
% Number of atoms : 745 ( 719 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 435 ( 233 ~; 202 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 227 (; 227 !; 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_65,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
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_68,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
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_116,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(X4) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X5) != sk_c7 )
| ( multiply(X6,sk_c8) != X5 )
| ( inverse(X6) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X3,sk_c8) != X2 )
| ( inverse(X3) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_8,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_17445,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_17449,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17445,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_114,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_119,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_13383,plain,
! [X_144,Y_145,Z_146] : ( multiply(multiply(X_144,Y_145),Z_146) = multiply(X_144,multiply(Y_145,Z_146)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13425,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c2,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13383]) ).
tff(c_13578,plain,
! [Z_152] : ( multiply(sk_c8,multiply(sk_c2,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13425]) ).
tff(c_13590,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_119,c_13578]) ).
tff(c_149,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_179,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_149]) ).
tff(c_431,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_189,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_705,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_431,c_189]) ).
tff(c_461,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_431]) ).
tff(c_712,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_705,c_461]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_124,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_176,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_18] : ( multiply(sk_c8,multiply(sk_c2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_119,c_214]) ).
tff(c_230,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_226]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_173,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_114,c_191]) ).
tff(c_232,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_203]) ).
tff(c_536,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_232,c_189]) ).
tff(c_542,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_536]) ).
tff(c_306,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_324,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_232,c_306]) ).
tff(c_358,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_324]) ).
tff(c_238,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_98]) ).
tff(c_257,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_238,c_4]) ).
tff(c_385,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_358,c_257]) ).
tff(c_372,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_238]) ).
tff(c_390,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_385,c_372]) ).
tff(c_68,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_252,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_230,c_68]) ).
tff(c_253,plain,
inverse(sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_252]) ).
tff(c_373,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_358,c_253]) ).
tff(c_414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_373]) ).
tff(c_415,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_8420,plain,
! [X4_11,X6_7,X1_9,X3_8] :
( ( identity != X4_11 )
| ( inverse(X4_11) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_712,c_542,c_542,c_2,c_542,c_542,c_542,c_712,c_542,c_542,c_712,c_542,c_542,c_2,c_542,c_542,c_542,c_712,c_542,c_542,c_415]) ).
tff(c_8422,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8420]) ).
tff(c_416,plain,
inverse(sk_c7) = sk_c7,
inference(splitRight,[status(thm)],[c_252]) ).
tff(c_549,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_542,c_542,c_416]) ).
tff(c_8424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8422,c_549]) ).
tff(c_8425,plain,
! [X1_9,X6_7,X4_11] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X4_11 )
| ( inverse(X4_11) != identity ) ),
inference(splitRight,[status(thm)],[c_8420]) ).
tff(c_13303,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8425]) ).
tff(c_13305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13303,c_549]) ).
tff(c_13306,plain,
! [X6_7,X1_9] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(splitRight,[status(thm)],[c_8425]) ).
tff(c_13308,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_13306]) ).
tff(c_13310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13308,c_549]) ).
tff(c_13313,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_13306]) ).
tff(c_13315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13313,c_549]) ).
tff(c_13317,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_13594,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13590,c_13317]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_13370,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13317,c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_13375,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13317,c_40]) ).
tff(c_13316,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_13321,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13316,c_4]) ).
tff(c_13413,plain,
! [Z_146] : ( multiply(sk_c8,multiply(sk_c5,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_13321,c_13383]) ).
tff(c_13714,plain,
! [Z_155] : ( multiply(sk_c8,multiply(sk_c5,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13413]) ).
tff(c_13729,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13375,c_13714]) ).
tff(c_13733,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13370,c_13729]) ).
tff(c_13735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13594,c_13733]) ).
tff(c_13737,plain,
multiply(sk_c2,sk_c8) != sk_c3,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_50,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_14545,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13737,c_50]) ).
tff(c_13798,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13737,c_50]) ).
tff(c_44,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_13775,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13737,c_44]) ).
tff(c_13779,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13775,c_4]) ).
tff(c_13808,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_13832,plain,
! [Z_158] : ( multiply(sk_c7,multiply(sk_c8,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_13779,c_13808]) ).
tff(c_14070,plain,
! [Z_166] : ( multiply(sk_c7,multiply(sk_c8,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13832]) ).
tff(c_14094,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13798,c_14070]) ).
tff(c_13738,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_13853,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_13808]) ).
tff(c_14294,plain,
! [X_170,Z_171] : ( multiply(inverse(X_170),multiply(X_170,Z_171)) = Z_171 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13853]) ).
tff(c_14345,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13738,c_14294]) ).
tff(c_14370,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14094,c_13775,c_14345]) ).
tff(c_13847,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c1,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13808]) ).
tff(c_13868,plain,
! [Z_159] : ( multiply(sk_c8,multiply(sk_c1,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13847]) ).
tff(c_13880,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_114,c_13868]) ).
tff(c_14327,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13880,c_14294]) ).
tff(c_14366,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14094,c_13775,c_14327]) ).
tff(c_14381,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14370,c_14366]) ).
tff(c_14106,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_14070]) ).
tff(c_14109,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_14070]) ).
tff(c_14259,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14106,c_14109]) ).
tff(c_13736,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_13742,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13736,c_4]) ).
tff(c_14100,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_13742,c_14070]) ).
tff(c_14154,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_14109,c_14100]) ).
tff(c_14273,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14259,c_14154]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_13756,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13737,c_54]) ).
tff(c_13760,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13756,c_4]) ).
tff(c_14097,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13760,c_14070]) ).
tff(c_14144,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_14100,c_14097]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_13803,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13737,c_52]) ).
tff(c_14145,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14144,c_13803]) ).
tff(c_14456,plain,
multiply(sk_c1,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14381,c_14370,c_14273,c_14145]) ).
tff(c_14275,plain,
multiply(sk_c1,sk_c8) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14259,c_13737]) ).
tff(c_14483,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14456,c_14381,c_14275]) ).
tff(c_14485,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_14515,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14485,c_32]) ).
tff(c_14519,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14515,c_4]) ).
tff(c_14557,plain,
! [X_173,Y_174,Z_175] : ( multiply(multiply(X_173,Y_174),Z_175) = multiply(X_173,multiply(Y_174,Z_175)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14581,plain,
! [Z_175] : ( multiply(sk_c7,multiply(sk_c8,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_14519,c_14557]) ).
tff(c_15070,plain,
! [Z_189] : ( multiply(sk_c7,multiply(sk_c8,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14581]) ).
tff(c_15100,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_15070]) ).
tff(c_14484,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_14496,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14484,c_4]) ).
tff(c_15097,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14496,c_15070]) ).
tff(c_15194,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_15100,c_15097]) ).
tff(c_14539,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13737,c_52]) ).
tff(c_15195,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15194,c_14539]) ).
tff(c_14862,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c8,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14581]) ).
tff(c_14892,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_14862]) ).
tff(c_14889,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14496,c_14862]) ).
tff(c_14954,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14892,c_14889]) ).
tff(c_14955,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_14539]) ).
tff(c_14587,plain,
! [Z_175] : ( multiply(sk_c8,multiply(sk_c5,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_14496,c_14557]) ).
tff(c_14709,plain,
! [Z_180] : ( multiply(sk_c8,multiply(sk_c5,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14587]) ).
tff(c_14721,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14539,c_14709]) ).
tff(c_14725,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14545,c_14721]) ).
tff(c_14737,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14725,c_14515]) ).
tff(c_14593,plain,
! [Z_175] : ( multiply(sk_c8,multiply(sk_c1,Z_175)) = multiply(identity,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14557]) ).
tff(c_14630,plain,
! [Z_177] : ( multiply(sk_c8,multiply(sk_c1,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14593]) ).
tff(c_14642,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_114,c_14630]) ).
tff(c_14730,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14725,c_14725,c_14642]) ).
tff(c_14615,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14515,c_68]) ).
tff(c_14616,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_14615]) ).
tff(c_14753,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14725,c_14725,c_14616]) ).
tff(c_14814,plain,
inverse(sk_c7) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14730,c_14753]) ).
tff(c_14823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14737,c_14814]) ).
tff(c_14824,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_14615]) ).
tff(c_14838,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_14824]) ).
tff(c_15034,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_14955,c_14838]) ).
tff(c_15045,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14545,c_98,c_15034]) ).
tff(c_15046,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_14824]) ).
tff(c_15216,plain,
! [X6_191] :
( ( inverse(X6_191) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_191,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15046]) ).
tff(c_15219,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15195,c_15216]) ).
tff(c_15244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14545,c_98,c_15219]) ).
tff(c_15347,plain,
! [X1_193] :
( ( multiply(X1_193,sk_c7) != sk_c8 )
| ( inverse(X1_193) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_15046]) ).
tff(c_15357,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_114,c_15347]) ).
tff(c_15369,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_15357]) ).
tff(c_15371,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_15370,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_15375,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15370,c_4]) ).
tff(c_16308,plain,
! [X_212,Y_213,Z_214] : ( multiply(multiply(X_212,Y_213),Z_214) = multiply(X_212,multiply(Y_213,Z_214)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16341,plain,
! [Z_214] : ( multiply(sk_c7,multiply(sk_c8,Z_214)) = multiply(identity,Z_214) ),
inference(superposition,[status(thm),theory(equality)],[c_15375,c_16308]) ).
tff(c_16391,plain,
! [Z_217] : ( multiply(sk_c7,multiply(sk_c8,Z_217)) = Z_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16341]) ).
tff(c_16421,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_16391]) ).
tff(c_15383,plain,
multiply(sk_c2,sk_c8) = sk_c3,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_16125,plain,
! [X_206,Y_207,Z_208] : ( multiply(multiply(X_206,Y_207),Z_208) = multiply(X_206,multiply(Y_207,Z_208)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16164,plain,
! [Z_208] : ( multiply(sk_c8,multiply(sk_c2,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_16125]) ).
tff(c_16198,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c2,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16164]) ).
tff(c_16210,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15383,c_16198]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_15406,plain,
multiply(sk_c8,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_15447,plain,
! [X_194,Y_195,Z_196] : ( multiply(multiply(X_194,Y_195),Z_196) = multiply(X_194,multiply(Y_195,Z_196)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15489,plain,
! [Z_196] : ( multiply(sk_c8,multiply(sk_c2,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_15447]) ).
tff(c_15520,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c2,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15489]) ).
tff(c_15532,plain,
multiply(sk_c8,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15383,c_15520]) ).
tff(c_15536,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15406,c_15532]) ).
tff(c_15550,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15536,c_15370]) ).
tff(c_15642,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15550,c_4]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_15414,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15371,c_22]) ).
tff(c_15543,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15536,c_15414]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_15440,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15371,c_24]) ).
tff(c_15539,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15536,c_15440]) ).
tff(c_15492,plain,
! [X_2,Z_196] : ( multiply(inverse(X_2),multiply(X_2,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15447]) ).
tff(c_15505,plain,
! [X_2,Z_196] : ( multiply(inverse(X_2),multiply(X_2,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15492]) ).
tff(c_15852,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15539,c_15505]) ).
tff(c_15858,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15543,c_15852]) ).
tff(c_15892,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15642,c_15858]) ).
tff(c_15552,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15536,c_98]) ).
tff(c_15665,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15552,c_4]) ).
tff(c_15964,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15892,c_15665]) ).
tff(c_15549,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15536,c_15371]) ).
tff(c_15895,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15892,c_15892,c_15549]) ).
tff(c_16081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15964,c_15895]) ).
tff(c_16083,plain,
multiply(sk_c8,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_16214,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16210,c_16083]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_16113,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15371,c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_16108,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15371,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_15394,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15371,c_30]) ).
tff(c_15398,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15394,c_4]) ).
tff(c_16152,plain,
! [Z_208] : ( multiply(sk_c8,multiply(sk_c5,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_15398,c_16125]) ).
tff(c_16222,plain,
! [Z_211] : ( multiply(sk_c8,multiply(sk_c5,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16152]) ).
tff(c_16234,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16108,c_16222]) ).
tff(c_16238,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16113,c_16234]) ).
tff(c_16240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16214,c_16238]) ).
tff(c_16241,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_16246,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16241,c_4]) ).
tff(c_16418,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_16246,c_16391]) ).
tff(c_16482,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_16421,c_16418]) ).
tff(c_16285,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15371,c_24]) ).
tff(c_16483,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16482,c_16285]) ).
tff(c_16487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15371,c_16483]) ).
tff(c_16489,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_16547,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16489,c_14]) ).
tff(c_16514,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_16489,c_8]) ).
tff(c_16518,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16514,c_4]) ).
tff(c_16562,plain,
! [X_219,Y_220,Z_221] : ( multiply(multiply(X_219,Y_220),Z_221) = multiply(X_219,multiply(Y_220,Z_221)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_16583,plain,
! [Z_221] : ( multiply(sk_c7,multiply(sk_c8,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_16518,c_16562]) ).
tff(c_16891,plain,
! [Z_228] : ( multiply(sk_c7,multiply(sk_c8,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16583]) ).
tff(c_16918,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_16891]) ).
tff(c_16488,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_16493,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16488,c_4]) ).
tff(c_16915,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_16493,c_16891]) ).
tff(c_17106,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16918,c_16915]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_16501,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16489,c_18]) ).
tff(c_16505,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16501,c_4]) ).
tff(c_16912,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16505,c_16891]) ).
tff(c_16937,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_16915,c_16912]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_16532,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_16489,c_16]) ).
tff(c_16946,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16937,c_16532]) ).
tff(c_17355,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17106,c_16946]) ).
tff(c_16595,plain,
! [Z_221] : ( multiply(sk_c8,multiply(sk_c2,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_16562]) ).
tff(c_16609,plain,
! [Z_221] : ( multiply(sk_c8,multiply(sk_c2,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16595]) ).
tff(c_17359,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17355,c_16609]) ).
tff(c_17365,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16547,c_17359]) ).
tff(c_17374,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17365,c_16514]) ).
tff(c_16909,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16547,c_16891]) ).
tff(c_17140,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17106,c_16946]) ).
tff(c_17144,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17140,c_16609]) ).
tff(c_17150,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16547,c_17144]) ).
tff(c_17184,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17150,c_17140]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_16522,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_16489,c_12]) ).
tff(c_17116,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17106,c_16522]) ).
tff(c_17185,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17150,c_17116]) ).
tff(c_17247,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17184,c_17185]) ).
tff(c_17191,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17150,c_16514]) ).
tff(c_17202,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17191,c_4]) ).
tff(c_17265,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17247,c_17247,c_17202]) ).
tff(c_17254,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17247,c_17150]) ).
tff(c_17133,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17116,c_16609]) ).
tff(c_17289,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17265,c_17254,c_17254,c_17247,c_17133]) ).
tff(c_16956,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16918,c_16915]) ).
tff(c_17008,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16956,c_16946]) ).
tff(c_17012,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17008,c_16609]) ).
tff(c_17018,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16547,c_17012]) ).
tff(c_17027,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17018,c_16514]) ).
tff(c_16628,plain,
! [Z_223] : ( multiply(sk_c7,multiply(sk_c8,Z_223)) = Z_223 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16583]) ).
tff(c_16652,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_16628]) ).
tff(c_16646,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_16505,c_16628]) ).
tff(c_16696,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16652,c_16646]) ).
tff(c_16708,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16696,c_16532]) ).
tff(c_16731,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16708,c_16609]) ).
tff(c_16737,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16547,c_16731]) ).
tff(c_16761,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16737,c_16514]) ).
tff(c_16772,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16761,c_4]) ).
tff(c_16643,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16547,c_16628]) ).
tff(c_16776,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16772,c_16643]) ).
tff(c_16759,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16737,c_16547]) ).
tff(c_16812,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16652,c_16776,c_16759]) ).
tff(c_16818,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16812,c_16812,c_16761]) ).
tff(c_16819,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16812,c_16737]) ).
tff(c_16613,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16514,c_68]) ).
tff(c_16739,plain,
! [X4_225] :
( ( multiply(X4_225,sk_c7) != sk_c8 )
| ( inverse(X4_225) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_16613]) ).
tff(c_16750,plain,
( ( sk_c8 != identity )
| ( inverse(inverse(sk_c7)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16739]) ).
tff(c_16860,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_16818,c_16818,c_16819,c_16812,c_16819,c_16750]) ).
tff(c_16764,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16737,c_85]) ).
tff(c_16792,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16764,c_4]) ).
tff(c_16838,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16812,c_16792]) ).
tff(c_16649,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_16493,c_16628]) ).
tff(c_16717,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16652,c_16649]) ).
tff(c_16719,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_16717,c_16522]) ).
tff(c_16796,plain,
multiply(sk_c2,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16737,c_16719]) ).
tff(c_16814,plain,
multiply(sk_c2,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16812,c_16812,c_16796]) ).
tff(c_16862,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16838,c_16814]) ).
tff(c_16863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16860,c_16862]) ).
tff(c_16864,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16613]) ).
tff(c_16955,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_16864]) ).
tff(c_17050,plain,
! [X3_230] :
( ( inverse(X3_230) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_230,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17018,c_17018,c_17018,c_16955]) ).
tff(c_17061,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17050]) ).
tff(c_17069,plain,
sk_c7 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16918,c_17027,c_17027,c_17061]) ).
tff(c_17038,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17027,c_4]) ).
tff(c_17084,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17038,c_16909]) ).
tff(c_17025,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17018,c_16547]) ).
tff(c_17103,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16918,c_17084,c_17025]) ).
tff(c_17104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17069,c_17103]) ).
tff(c_17105,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16864]) ).
tff(c_17125,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17105]) ).
tff(c_17221,plain,
! [X6_232] :
( ( inverse(X6_232) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_232,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17150,c_17150,c_17150,c_17125]) ).
tff(c_17235,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17221]) ).
tff(c_17245,plain,
sk_c7 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_16918,c_17191,c_17191,c_17235]) ).
tff(c_17248,plain,
sk_c6 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_17247,c_17245]) ).
tff(c_17293,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17289,c_17248]) ).
tff(c_17296,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17289,c_17247]) ).
tff(c_17194,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17150,c_85]) ).
tff(c_17209,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17194,c_4]) ).
tff(c_17338,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17296,c_17209]) ).
tff(c_17339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17293,c_17338]) ).
tff(c_17340,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_17105]) ).
tff(c_17390,plain,
! [X1_235] :
( ( multiply(X1_235,sk_c7) != sk_c7 )
| ( inverse(X1_235) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17365,c_17365,c_17340]) ).
tff(c_17393,plain,
( ( sk_c7 != sk_c6 )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16909,c_17390]) ).
tff(c_17407,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17374,c_17393]) ).
tff(c_17348,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17116,c_16609]) ).
tff(c_17418,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16909,c_17365,c_17365,c_17348]) ).
tff(c_17419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17407,c_17418]) ).
tff(c_17421,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_56,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_17459,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17421,c_56]) ).
tff(c_17463,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17459,c_4]) ).
tff(c_17507,plain,
! [X_236,Y_237,Z_238] : ( multiply(multiply(X_236,Y_237),Z_238) = multiply(X_236,multiply(Y_237,Z_238)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17531,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c8,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_17463,c_17507]) ).
tff(c_17641,plain,
! [Z_241] : ( multiply(sk_c7,multiply(sk_c8,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17531]) ).
tff(c_17656,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_17449,c_17641]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_17480,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17421,c_62]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_17433,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17421,c_58]) ).
tff(c_17437,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17433,c_4]) ).
tff(c_17659,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_17437,c_17641]) ).
tff(c_17723,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17656,c_17659]) ).
tff(c_17420,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_17425,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17420,c_4]) ).
tff(c_17662,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17425,c_17641]) ).
tff(c_17706,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_17659,c_17662]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_17473,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17421,c_64]) ).
tff(c_17707,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17706,c_17473]) ).
tff(c_17735,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17723,c_17707]) ).
tff(c_17537,plain,
! [Z_238] : ( multiply(sk_c8,multiply(sk_c4,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_17437,c_17507]) ).
tff(c_17553,plain,
! [Z_238] : ( multiply(sk_c8,multiply(sk_c4,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17537]) ).
tff(c_17911,plain,
! [Z_246] : ( multiply(sk_c8,multiply(sk_c1,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_17723,c_17553]) ).
tff(c_17929,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17735,c_17911]) ).
tff(c_17933,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17480,c_17929]) ).
tff(c_17940,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17933,c_17459]) ).
tff(c_19193,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17940,c_4]) ).
tff(c_17543,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = multiply(identity,Z_238) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17507]) ).
tff(c_17555,plain,
! [X_2,Z_238] : ( multiply(inverse(X_2),multiply(X_2,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17543]) ).
tff(c_19211,plain,
multiply(inverse(sk_c7),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19193,c_17555]) ).
tff(c_19217,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17656,c_17940,c_19211]) ).
tff(c_19228,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19217,c_17933]) ).
tff(c_60,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_17489,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17421,c_60]) ).
tff(c_17738,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_17723,c_17489]) ).
tff(c_17926,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17738,c_17911]) ).
tff(c_19291,plain,
multiply(sk_c1,sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19228,c_19228,c_19217,c_17926]) ).
tff(c_17942,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17933,c_17445]) ).
tff(c_19203,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17942,c_4]) ).
tff(c_19308,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19291,c_19217,c_19203]) ).
tff(c_19315,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19308,c_19217]) ).
tff(c_19153,plain,
! [X_272,Z_273] : ( multiply(inverse(X_272),multiply(X_272,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17543]) ).
tff(c_19391,plain,
! [X_276,Z_277] : ( multiply(inverse(inverse(X_276)),Z_277) = multiply(X_276,Z_277) ),
inference(superposition,[status(thm),theory(equality)],[c_19153,c_17555]) ).
tff(c_19180,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19153]) ).
tff(c_19398,plain,
! [X_276] : ( multiply(X_276,identity) = X_276 ),
inference(superposition,[status(thm),theory(equality)],[c_19391,c_19180]) ).
tff(c_18011,plain,
! [X_247,Z_248] : ( multiply(inverse(X_247),multiply(X_247,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17543]) ).
tff(c_18141,plain,
! [X_250,Z_251] : ( multiply(inverse(inverse(X_250)),Z_251) = multiply(X_250,Z_251) ),
inference(superposition,[status(thm),theory(equality)],[c_18011,c_17555]) ).
tff(c_18032,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18011]) ).
tff(c_18148,plain,
! [X_250] : ( multiply(X_250,identity) = X_250 ),
inference(superposition,[status(thm),theory(equality)],[c_18141,c_18032]) ).
tff(c_17953,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17940,c_4]) ).
tff(c_17653,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17480,c_17641]) ).
tff(c_17964,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17953,c_17653]) ).
tff(c_17938,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17933,c_17480]) ).
tff(c_17994,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17656,c_17964,c_17938]) ).
tff(c_17960,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17942,c_4]) ).
tff(c_18050,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17994,c_17960]) ).
tff(c_17935,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17933,c_17738]) ).
tff(c_18063,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18050,c_17994,c_17994,c_17935]) ).
tff(c_18068,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18063,c_17994]) ).
tff(c_17767,plain,
! [Z_243] : ( multiply(sk_c8,multiply(sk_c1,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_17723,c_17553]) ).
tff(c_17785,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17735,c_17767]) ).
tff(c_17789,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17480,c_17785]) ).
tff(c_17813,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17789,c_17459]) ).
tff(c_17558,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17459,c_68]) ).
tff(c_17617,plain,
! [X4_240] :
( ( multiply(X4_240,sk_c7) != sk_c8 )
| ( inverse(X4_240) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_17558]) ).
tff(c_17627,plain,
inverse(sk_c4) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17489,c_17617]) ).
tff(c_17639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17433,c_17627]) ).
tff(c_17640,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17558]) ).
tff(c_17751,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17640]) ).
tff(c_17843,plain,
! [X3_245] :
( ( inverse(X3_245) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_245,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17789,c_17789,c_17789,c_17751]) ).
tff(c_17857,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17843]) ).
tff(c_17867,plain,
sk_c7 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17656,c_17813,c_17813,c_17857]) ).
tff(c_17824,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17813,c_4]) ).
tff(c_17876,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17824,c_17653]) ).
tff(c_17811,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17789,c_17480]) ).
tff(c_17890,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17876,c_17811]) ).
tff(c_17892,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17656,c_17890]) ).
tff(c_17894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17867,c_17892]) ).
tff(c_17895,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17640]) ).
tff(c_17948,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17933,c_17933,c_17933,c_17933,c_17933,c_17895]) ).
tff(c_17949,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_17948]) ).
tff(c_19149,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18148,c_18068,c_18068,c_2,c_18068,c_18068,c_17949]) ).
tff(c_17998,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_17994,c_17942]) ).
tff(c_18066,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18063,c_18063,c_17998]) ).
tff(c_19151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19149,c_18066]) ).
tff(c_19152,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_17948]) ).
tff(c_19779,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_19315,c_19398,c_19315,c_19315,c_19152]) ).
tff(c_19226,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_19217,c_17942]) ).
tff(c_19312,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19308,c_19308,c_19226]) ).
tff(c_19781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19779,c_19312]) ).
tff(c_19783,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_19802,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19783,c_14]) ).
tff(c_19782,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_19787,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19782,c_4]) ).
tff(c_19840,plain,
! [X_286,Y_287,Z_288] : ( multiply(multiply(X_286,Y_287),Z_288) = multiply(X_286,multiply(Y_287,Z_288)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19864,plain,
! [Z_288] : ( multiply(sk_c7,multiply(sk_c8,Z_288)) = multiply(identity,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_19787,c_19840]) ).
tff(c_19886,plain,
! [Z_289] : ( multiply(sk_c7,multiply(sk_c8,Z_289)) = Z_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19864]) ).
tff(c_19898,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19802,c_19886]) ).
tff(c_19901,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_17437,c_19886]) ).
tff(c_19904,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_17425,c_19886]) ).
tff(c_20037,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_19901,c_19904]) ).
tff(c_19807,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17421,c_64]) ).
tff(c_20038,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_19807]) ).
tff(c_19867,plain,
! [Z_288] : ( multiply(sk_c8,multiply(sk_c4,Z_288)) = multiply(identity,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_17437,c_19840]) ).
tff(c_20564,plain,
! [Z_304] : ( multiply(sk_c8,multiply(sk_c4,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19867]) ).
tff(c_20579,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20038,c_20564]) ).
tff(c_20586,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19802,c_20579]) ).
tff(c_19819,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_17421,c_60]) ).
tff(c_20582,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19819,c_20564]) ).
tff(c_21939,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19898,c_20586,c_20586,c_20582]) ).
tff(c_20594,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20586,c_19782]) ).
tff(c_20605,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20594,c_4]) ).
tff(c_21955,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21939,c_21939,c_20605]) ).
tff(c_20591,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20586,c_19802]) ).
tff(c_21988,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21955,c_21939,c_21939,c_20591]) ).
tff(c_21995,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21988,c_21939]) ).
tff(c_19873,plain,
! [X_2,Z_288] : ( multiply(inverse(X_2),multiply(X_2,Z_288)) = multiply(identity,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19840]) ).
tff(c_21897,plain,
! [X_332,Z_333] : ( multiply(inverse(X_332),multiply(X_332,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19873]) ).
tff(c_19884,plain,
! [X_2,Z_288] : ( multiply(inverse(X_2),multiply(X_2,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19873]) ).
tff(c_22103,plain,
! [X_336,Z_337] : ( multiply(inverse(inverse(X_336)),Z_337) = multiply(X_336,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_21897,c_19884]) ).
tff(c_21930,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21897]) ).
tff(c_22110,plain,
! [X_336] : ( multiply(X_336,identity) = X_336 ),
inference(superposition,[status(thm),theory(equality)],[c_22103,c_21930]) ).
tff(c_20658,plain,
! [X_305,Z_306] : ( multiply(inverse(X_305),multiply(X_305,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19873]) ).
tff(c_20868,plain,
! [X_310,Z_311] : ( multiply(inverse(inverse(X_310)),Z_311) = multiply(X_310,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_19884,c_20658]) ).
tff(c_20688,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20658]) ).
tff(c_20879,plain,
! [X_310] : ( multiply(X_310,identity) = X_310 ),
inference(superposition,[status(thm),theory(equality)],[c_20868,c_20688]) ).
tff(c_20618,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19898,c_20586,c_20586,c_20582]) ).
tff(c_20708,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20618,c_20618,c_20591]) ).
tff(c_20712,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20708,c_19884]) ).
tff(c_20718,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20712]) ).
tff(c_20728,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20718,c_20618]) ).
tff(c_20055,plain,
! [Z_292] : ( multiply(sk_c8,multiply(sk_c4,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19867]) ).
tff(c_20070,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20038,c_20055]) ).
tff(c_20077,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19802,c_20070]) ).
tff(c_20073,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19819,c_20055]) ).
tff(c_20121,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19898,c_20077,c_20077,c_20073]) ).
tff(c_20082,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20077,c_19802]) ).
tff(c_20186,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20121,c_20121,c_20082]) ).
tff(c_20194,plain,
! [X_295,Z_296] : ( multiply(inverse(X_295),multiply(X_295,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19873]) ).
tff(c_20212,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20186,c_20194]) ).
tff(c_20237,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20212]) ).
tff(c_20127,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20121,c_20077]) ).
tff(c_20247,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20237,c_20127]) ).
tff(c_20085,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20077,c_19782]) ).
tff(c_20123,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20121,c_20121,c_20085]) ).
tff(c_20242,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20237,c_20237,c_20123]) ).
tff(c_19926,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_19901,c_19904]) ).
tff(c_19927,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19926,c_19807]) ).
tff(c_19870,plain,
! [Z_288] : ( multiply(sk_c8,multiply(sk_c5,Z_288)) = multiply(identity,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_17425,c_19840]) ).
tff(c_19883,plain,
! [Z_288] : ( multiply(sk_c8,multiply(sk_c5,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19870]) ).
tff(c_19944,plain,
! [Z_290] : ( multiply(sk_c8,multiply(sk_c4,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_19926,c_19883]) ).
tff(c_19959,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19927,c_19944]) ).
tff(c_19966,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19802,c_19959]) ).
tff(c_19976,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19966,c_17433]) ).
tff(c_19968,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19966,c_19927]) ).
tff(c_19924,plain,
! [X3_8,X1_9,X6_7,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19782,c_68]) ).
tff(c_19925,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_19924]) ).
tff(c_19982,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19966,c_19966,c_19925]) ).
tff(c_20025,plain,
( ( sk_c7 != sk_c6 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_19968,c_19982]) ).
tff(c_20032,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19976,c_20025]) ).
tff(c_19970,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19966,c_19819]) ).
tff(c_20034,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19968,c_19970]) ).
tff(c_20035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20032,c_20034]) ).
tff(c_20036,plain,
! [X6_7,X1_9,X3_8] :
( ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19924]) ).
tff(c_20047,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_20036]) ).
tff(c_20135,plain,
! [X3_294] :
( ( inverse(X3_294) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_294,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20121,c_20047]) ).
tff(c_20147,plain,
( ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_20135]) ).
tff(c_20555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20247,c_2,c_20247,c_20237,c_20242,c_20247,c_20147]) ).
tff(c_20556,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( multiply(sk_c8,multiply(X6_7,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20036]) ).
tff(c_20609,plain,
! [X1_9,X6_7] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20586,c_20586,c_20586,c_20586,c_20586,c_20556]) ).
tff(c_20610,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_20609]) ).
tff(c_21886,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20879,c_20728,c_20728,c_2,c_20728,c_20728,c_20610]) ).
tff(c_20621,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20618,c_20618,c_20594]) ).
tff(c_20722,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20718,c_20718,c_20621]) ).
tff(c_21888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21886,c_20722]) ).
tff(c_21889,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20609]) ).
tff(c_22484,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21995,c_22110,c_21995,c_21995,c_21889]) ).
tff(c_21942,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21939,c_21939,c_20594]) ).
tff(c_21989,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21988,c_21988,c_21942]) ).
tff(c_22486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22484,c_21989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP229-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.18/0.35 % Computer : n009.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 22:15:54 EDT 2023
% 0.18/0.35 % CPUTime :
% 11.01/3.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.33/3.95
% 11.33/3.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.56/4.02
% 11.56/4.02 Inference rules
% 11.56/4.02 ----------------------
% 11.56/4.02 #Ref : 0
% 11.56/4.02 #Sup : 5607
% 11.56/4.02 #Fact : 0
% 11.56/4.02 #Define : 0
% 11.56/4.02 #Split : 35
% 11.56/4.02 #Chain : 0
% 11.56/4.02 #Close : 0
% 11.56/4.02
% 11.56/4.02 Ordering : KBO
% 11.56/4.02
% 11.56/4.02 Simplification rules
% 11.56/4.02 ----------------------
% 11.56/4.02 #Subsume : 4
% 11.56/4.02 #Demod : 11896
% 11.56/4.02 #Tautology : 4608
% 11.56/4.02 #SimpNegUnit : 80
% 11.56/4.02 #BackRed : 476
% 11.56/4.02
% 11.56/4.02 #Partial instantiations: 0
% 11.56/4.02 #Strategies tried : 1
% 11.56/4.02
% 11.56/4.02 Timing (in seconds)
% 11.56/4.02 ----------------------
% 11.56/4.02 Preprocessing : 0.52
% 11.56/4.03 Parsing : 0.20
% 11.56/4.03 CNF conversion : 0.02
% 11.56/4.03 Main loop : 2.26
% 11.56/4.03 Inferencing : 0.68
% 11.56/4.03 Reduction : 1.12
% 11.56/4.03 Demodulation : 0.99
% 11.56/4.03 BG Simplification : 0.07
% 11.56/4.03 Subsumption : 0.24
% 11.56/4.03 Abstraction : 0.11
% 11.56/4.03 MUC search : 0.00
% 11.56/4.03 Cooper : 0.00
% 11.56/4.03 Total : 2.94
% 11.56/4.03 Index Insertion : 0.00
% 11.56/4.03 Index Deletion : 0.00
% 11.56/4.03 Index Matching : 0.00
% 11.56/4.03 BG Taut test : 0.00
%------------------------------------------------------------------------------