TSTP Solution File: GRP275-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 10:40:44 EDT 2023
% Result : Unsatisfiable 60.34s 47.05s
% Output : CNFRefutation 60.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 42
% Syntax : Number of formulae : 584 ( 468 unt; 11 typ; 0 def)
% Number of atoms : 809 ( 778 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 518 ( 282 ~; 236 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 292 (; 292 !; 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_116,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c5 ) ),
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_131,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(X5,X2) != sk_c7 )
| ( inverse(X5) != X2 )
| ( multiply(X2,sk_c8) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_39536,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_16,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_112,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_97,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_101,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_149,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_173,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_149]) ).
tff(c_191,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_191]) ).
tff(c_179,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_149]) ).
tff(c_237,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_261,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_203,c_237]) ).
tff(c_298,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_261]) ).
tff(c_307,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_203]) ).
tff(c_52,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_58,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_124,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_164,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c7,Z_15)) = multiply(sk_c8,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_149]) ).
tff(c_419,plain,
! [Z_21] : ( multiply(sk_c8,Z_21) = multiply(sk_c2,Z_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_298,c_164]) ).
tff(c_446,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_419,c_101]) ).
tff(c_189,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_179]) ).
tff(c_482,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_446,c_189]) ).
tff(c_491,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_85,c_482]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_117,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_68,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_304,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_68]) ).
tff(c_305,plain,
multiply(sk_c7,sk_c8) != sk_c6,
inference(splitLeft,[status(thm)],[c_304]) ).
tff(c_315,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_298,c_305]) ).
tff(c_500,plain,
sk_c6 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_491,c_315]) ).
tff(c_499,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_491,c_491,c_307]) ).
tff(c_506,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_491,c_85]) ).
tff(c_89,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_449,plain,
multiply(sk_c2,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_419,c_89]) ).
tff(c_597,plain,
multiply(inverse(sk_c2),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_449,c_189]) ).
tff(c_603,plain,
multiply(sk_c1,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_506,c_597]) ).
tff(c_678,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_499,c_603]) ).
tff(c_309,plain,
multiply(sk_c8,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_117]) ).
tff(c_458,plain,
multiply(sk_c2,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_309,c_419]) ).
tff(c_697,plain,
multiply(sk_c1,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_678,c_458]) ).
tff(c_170,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c8,Z_15)) = multiply(sk_c7,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_149]) ).
tff(c_568,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_491,c_2,c_298,c_170]) ).
tff(c_716,plain,
multiply(sk_c1,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_697,c_568]) ).
tff(c_725,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_499,c_716]) ).
tff(c_727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_500,c_725]) ).
tff(c_729,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_304]) ).
tff(c_739,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_298,c_729]) ).
tff(c_279,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_101,c_237]) ).
tff(c_5332,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_739,c_279]) ).
tff(c_273,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_117,c_237]) ).
tff(c_5344,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_5332,c_298,c_739,c_273]) ).
tff(c_743,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_739,c_97]) ).
tff(c_5353,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_5344,c_743]) ).
tff(c_733,plain,
multiply(sk_c8,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_117]) ).
tff(c_807,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_739,c_733]) ).
tff(c_5348,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5344,c_5344,c_807]) ).
tff(c_5583,plain,
! [X_90,Z_91] : ( multiply(inverse(inverse(X_90)),Z_91) = multiply(X_90,Z_91) ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_189]) ).
tff(c_291,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_5590,plain,
! [X_90] : ( multiply(X_90,identity) = X_90 ),
inference(superposition,[status(thm),theory(equality)],[c_5583,c_291]) ).
tff(c_1085,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_237]) ).
tff(c_1129,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_1085,c_291]) ).
tff(c_294,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_237]) ).
tff(c_1147,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1129,c_294]) ).
tff(c_1106,plain,
! [X_29] : ( multiply(X_29,inverse(X_29)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1085,c_4]) ).
tff(c_756,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_743,c_4]) ).
tff(c_955,plain,
! [Z_27] : ( multiply(sk_c1,multiply(sk_c6,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_739,c_2,c_298,c_170]) ).
tff(c_973,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_756,c_955]) ).
tff(c_285,plain,
multiply(inverse(sk_c8),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_237]) ).
tff(c_906,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_739,c_285]) ).
tff(c_918,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_906,c_739,c_279]) ).
tff(c_732,plain,
multiply(sk_c2,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_124]) ).
tff(c_819,plain,
multiply(sk_c2,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_739,c_732]) ).
tff(c_921,plain,
multiply(sk_c1,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_918,c_819]) ).
tff(c_983,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_973,c_921]) ).
tff(c_1003,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_983,c_739]) ).
tff(c_167,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c6,Z_15)) = multiply(sk_c7,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_149]) ).
tff(c_1013,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_1003,c_983,c_2,c_298,c_167]) ).
tff(c_1092,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_1085,c_291]) ).
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_1324,plain,
! [X_34,Y_35,Z_36] : ( multiply(inverse(multiply(X_34,Y_35)),multiply(X_34,multiply(Y_35,Z_36))) = Z_36 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_237]) ).
tff(c_1360,plain,
! [X_34,X_29] : ( multiply(inverse(multiply(X_34,X_29)),multiply(X_34,identity)) = inverse(X_29) ),
inference(superposition,[status(thm),theory(equality)],[c_1106,c_1324]) ).
tff(c_2443,plain,
! [X_52,X_53] : ( multiply(inverse(multiply(X_52,X_53)),X_52) = inverse(X_53) ),
inference(demodulation,[status(thm),theory(equality)],[c_1092,c_1360]) ).
tff(c_2557,plain,
! [Z_15] : ( multiply(inverse(Z_15),sk_c1) = inverse(multiply(sk_c1,Z_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_1013,c_2443]) ).
tff(c_728,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_304]) ).
tff(c_844,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity )
| ( multiply(X4_10,identity) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X1_8,identity) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(inverse(X5_6),sk_c6) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_739,c_298,c_739,c_739,c_298,c_739,c_739,c_298,c_739,c_298,c_739,c_728]) ).
tff(c_845,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c6) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_844]) ).
tff(c_5259,plain,
! [X5_85] : ( inverse(multiply(sk_c1,X5_85)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_2557,c_983,c_845]) ).
tff(c_5277,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1106,c_5259]) ).
tff(c_5292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1147,c_5277]) ).
tff(c_5293,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,identity) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X4_10,identity) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(splitRight,[status(thm)],[c_844]) ).
tff(c_34106,plain,
! [X1_8,X4_10,X3_7] :
( ( sk_c1 != X1_8 )
| ( inverse(X1_8) != sk_c1 )
| ( sk_c1 != X4_10 )
| ( inverse(X4_10) != sk_c1 )
| ( inverse(X3_7) != sk_c1 )
| ( multiply(X3_7,sk_c1) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5344,c_5344,c_5344,c_5590,c_5344,c_5344,c_5590,c_5344,c_5293]) ).
tff(c_34108,plain,
! [X3_269] :
( ( inverse(X3_269) != sk_c1 )
| ( multiply(X3_269,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_34106]) ).
tff(c_34162,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_5348,c_34108]) ).
tff(c_34188,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5353,c_34162]) ).
tff(c_34189,plain,
! [X4_10,X1_8] :
( ( sk_c1 != X4_10 )
| ( inverse(X4_10) != sk_c1 )
| ( sk_c1 != X1_8 )
| ( inverse(X1_8) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_34106]) ).
tff(c_34191,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_34189]) ).
tff(c_34193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34191,c_5353]) ).
tff(c_35432,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_34189]) ).
tff(c_35434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35432,c_5353]) ).
tff(c_35435,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_35436,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_60,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_35485,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35436,c_60]) ).
tff(c_62,plain,
( ( multiply(sk_c4,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_35479,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35436,c_62]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_35454,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_35436,c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_35467,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35436,c_66]) ).
tff(c_56,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_35473,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35436,c_56]) ).
tff(c_35591,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_35473,c_68]) ).
tff(c_35639,plain,
! [X3_281] :
( ( inverse(X3_281) != sk_c8 )
| ( multiply(X3_281,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_35591]) ).
tff(c_35655,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_35639]) ).
tff(c_35669,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_35655]) ).
tff(c_35670,plain,
! [X4_10,X1_8,X5_6] :
( ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_35591]) ).
tff(c_35797,plain,
! [X5_285] :
( ( multiply(inverse(X5_285),sk_c8) != sk_c7 )
| ( multiply(X5_285,inverse(X5_285)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_35670]) ).
tff(c_35799,plain,
( ( multiply(sk_c5,sk_c8) != sk_c7 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_35454,c_35797]) ).
tff(c_35811,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35479,c_35454,c_35467,c_35799]) ).
tff(c_35812,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_35670]) ).
tff(c_35955,plain,
! [X4_289] :
( ( multiply(X4_289,sk_c7) != sk_c8 )
| ( inverse(X4_289) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_35812]) ).
tff(c_35974,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35485,c_35955]) ).
tff(c_35989,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35435,c_35974]) ).
tff(c_36023,plain,
! [X1_291] :
( ( multiply(X1_291,sk_c7) != sk_c8 )
| ( inverse(X1_291) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_35812]) ).
tff(c_36042,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35485,c_36023]) ).
tff(c_36057,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35435,c_36042]) ).
tff(c_36059,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_32,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_36095,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_36059,c_32]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_36590,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_36059,c_36]) ).
tff(c_36058,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36063,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36058,c_4]) ).
tff(c_36601,plain,
! [X_303,Y_304,Z_305] : ( multiply(multiply(X_303,Y_304),Z_305) = multiply(X_303,multiply(Y_304,Z_305)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36631,plain,
! [Z_305] : ( multiply(sk_c8,multiply(sk_c3,Z_305)) = multiply(identity,Z_305) ),
inference(superposition,[status(thm),theory(equality)],[c_36063,c_36601]) ).
tff(c_36695,plain,
! [Z_308] : ( multiply(sk_c8,multiply(sk_c3,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36631]) ).
tff(c_36707,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36590,c_36695]) ).
tff(c_36634,plain,
! [Z_305] : ( multiply(sk_c1,multiply(sk_c8,Z_305)) = multiply(sk_c7,Z_305) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_36601]) ).
tff(c_36752,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_36707,c_36634]) ).
tff(c_36758,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36095,c_36752]) ).
tff(c_36637,plain,
! [Z_305] : ( multiply(sk_c8,multiply(sk_c1,Z_305)) = multiply(identity,Z_305) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_36601]) ).
tff(c_36653,plain,
! [Z_305] : ( multiply(sk_c8,multiply(sk_c1,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36637]) ).
tff(c_36770,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36758,c_36653]) ).
tff(c_36777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36059,c_36770]) ).
tff(c_36779,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_14,plain,
( ( multiply(sk_c4,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_39049,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36779,c_14]) ).
tff(c_36778,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_36783,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36778,c_4]) ).
tff(c_39067,plain,
! [X_348,Y_349,Z_350] : ( multiply(multiply(X_348,Y_349),Z_350) = multiply(X_348,multiply(Y_349,Z_350)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39100,plain,
! [Z_350] : ( multiply(sk_c5,multiply(sk_c4,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_36783,c_39067]) ).
tff(c_39215,plain,
! [Z_355] : ( multiply(sk_c5,multiply(sk_c4,Z_355)) = Z_355 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39100]) ).
tff(c_39227,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_39049,c_39215]) ).
tff(c_39109,plain,
! [X_2,Z_350] : ( multiply(inverse(X_2),multiply(X_2,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39067]) ).
tff(c_39238,plain,
! [X_356,Z_357] : ( multiply(inverse(X_356),multiply(X_356,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39109]) ).
tff(c_39256,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39227,c_39238]) ).
tff(c_39332,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39256]) ).
tff(c_36830,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36779,c_14]) ).
tff(c_36850,plain,
! [X_310,Y_311,Z_312] : ( multiply(multiply(X_310,Y_311),Z_312) = multiply(X_310,multiply(Y_311,Z_312)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36886,plain,
! [Z_312] : ( multiply(sk_c5,multiply(sk_c4,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_36783,c_36850]) ).
tff(c_37964,plain,
! [Z_337] : ( multiply(sk_c5,multiply(sk_c4,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36886]) ).
tff(c_37976,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_36830,c_37964]) ).
tff(c_36895,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36850]) ).
tff(c_37987,plain,
! [X_338,Z_339] : ( multiply(inverse(X_338),multiply(X_338,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36895]) ).
tff(c_38005,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_37976,c_37987]) ).
tff(c_38084,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38005]) ).
tff(c_36871,plain,
! [Z_312] : ( multiply(sk_c4,multiply(sk_c5,Z_312)) = multiply(sk_c7,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_36830,c_36850]) ).
tff(c_38610,plain,
! [Z_345] : ( multiply(sk_c4,multiply(sk_c5,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38084,c_36871]) ).
tff(c_38634,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_36783,c_38610]) ).
tff(c_38080,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_37987]) ).
tff(c_8,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_36837,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_36779,c_8]) ).
tff(c_38325,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38084,c_36837]) ).
tff(c_36907,plain,
! [X_2,Z_312] : ( multiply(inverse(X_2),multiply(X_2,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36895]) ).
tff(c_38435,plain,
multiply(inverse(identity),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38325,c_36907]) ).
tff(c_38447,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38080,c_38435]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_36822,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36779,c_18]) ).
tff(c_38327,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38084,c_36822]) ).
tff(c_38450,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38447,c_38327]) ).
tff(c_38609,plain,
! [Z_312] : ( multiply(sk_c4,multiply(sk_c5,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38084,c_36871]) ).
tff(c_38690,plain,
multiply(sk_c4,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38450,c_38609]) ).
tff(c_38699,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_38634,c_38690]) ).
tff(c_38458,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38447,c_101]) ).
tff(c_36801,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_36880,plain,
! [Z_312] : ( multiply(sk_c8,multiply(sk_c6,Z_312)) = multiply(sk_c7,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_36801,c_36850]) ).
tff(c_38479,plain,
! [Z_312] : ( multiply(sk_c6,multiply(sk_c6,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_38447,c_2,c_38084,c_36880]) ).
tff(c_38675,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_38458,c_38479]) ).
tff(c_38897,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_38634,c_38699,c_38675]) ).
tff(c_38459,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38447,c_97]) ).
tff(c_38713,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_38699,c_38459]) ).
tff(c_38744,plain,
multiply(sk_c4,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38713,c_4]) ).
tff(c_38960,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38897,c_38744]) ).
tff(c_38330,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38084,c_36779]) ).
tff(c_38451,plain,
multiply(sk_c1,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38447,c_38330]) ).
tff(c_38703,plain,
multiply(sk_c1,sk_c4) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38699,c_38451]) ).
tff(c_38900,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38897,c_38703]) ).
tff(c_39014,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38960,c_38900]) ).
tff(c_39016,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_39054,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_39016,c_32]) ).
tff(c_39347,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39332,c_39054]) ).
tff(c_39380,plain,
sk_c8 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39347,c_2]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_39043,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_36779,c_12]) ).
tff(c_39088,plain,
! [Z_350] : ( multiply(sk_c3,multiply(sk_c7,Z_350)) = multiply(sk_c8,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_39043,c_39067]) ).
tff(c_39449,plain,
! [Z_350] : ( multiply(sk_c6,Z_350) = multiply(sk_c3,Z_350) ),
inference(demodulation,[status(thm),theory(equality)],[c_39380,c_2,c_39332,c_39088]) ).
tff(c_39351,plain,
multiply(sk_c8,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39332,c_39016]) ).
tff(c_39509,plain,
multiply(sk_c3,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_39449,c_39380,c_39351]) ).
tff(c_36793,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_39106,plain,
! [Z_350] : ( multiply(sk_c8,multiply(sk_c2,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_39067]) ).
tff(c_39125,plain,
! [Z_351] : ( multiply(sk_c8,multiply(sk_c2,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39106]) ).
tff(c_39137,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36793,c_39125]) ).
tff(c_39346,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39332,c_39137]) ).
tff(c_39511,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39449,c_39380,c_39380,c_39346]) ).
tff(c_39512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39509,c_39511]) ).
tff(c_39514,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_39551,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_39514,c_56]) ).
tff(c_39629,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39536,c_39551,c_68]) ).
tff(c_39696,plain,
! [X3_366] :
( ( inverse(X3_366) != sk_c8 )
| ( multiply(X3_366,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_39629]) ).
tff(c_39713,plain,
( ( inverse(inverse(sk_c8)) != sk_c8 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39696]) ).
tff(c_39729,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_39713]) ).
tff(c_39558,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_36779,c_14]) ).
tff(c_39572,plain,
! [X_359,Y_360,Z_361] : ( multiply(multiply(X_359,Y_360),Z_361) = multiply(X_359,multiply(Y_360,Z_361)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39605,plain,
! [Z_361] : ( multiply(sk_c5,multiply(sk_c4,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_36783,c_39572]) ).
tff(c_39680,plain,
! [Z_365] : ( multiply(sk_c5,multiply(sk_c4,Z_365)) = Z_365 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39605]) ).
tff(c_39692,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_39558,c_39680]) ).
tff(c_39614,plain,
! [X_2,Z_361] : ( multiply(inverse(X_2),multiply(X_2,Z_361)) = multiply(identity,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39572]) ).
tff(c_39730,plain,
! [X_367,Z_368] : ( multiply(inverse(X_367),multiply(X_367,Z_368)) = Z_368 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39614]) ).
tff(c_39748,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39692,c_39730]) ).
tff(c_39815,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39748]) ).
tff(c_39817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39729,c_39815]) ).
tff(c_39819,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_39713]) ).
tff(c_39826,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39819,c_39551]) ).
tff(c_39867,plain,
sk_c8 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39826,c_2]) ).
tff(c_39830,plain,
multiply(sk_c2,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_39819,c_39514]) ).
tff(c_39933,plain,
multiply(sk_c2,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39867,c_39830]) ).
tff(c_39886,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39867,c_89]) ).
tff(c_39995,plain,
! [X_371,Z_372] : ( multiply(inverse(X_371),multiply(X_371,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39614]) ).
tff(c_40019,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_39886,c_39995]) ).
tff(c_39513,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_39883,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39867,c_39513]) ).
tff(c_40131,plain,
! [X_374] : ( multiply(inverse(inverse(X_374)),identity) = X_374 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39995]) ).
tff(c_40149,plain,
multiply(inverse(sk_c6),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_39883,c_40131]) ).
tff(c_40159,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_40019,c_40149]) ).
tff(c_39546,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_39514,c_60]) ).
tff(c_39827,plain,
multiply(sk_c3,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_39819,c_39546]) ).
tff(c_39901,plain,
multiply(sk_c3,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39867,c_39827]) ).
tff(c_40164,plain,
multiply(sk_c2,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40159,c_39901]) ).
tff(c_40168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39933,c_40164]) ).
tff(c_40170,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_24,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_40211,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40170,c_24]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_40182,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40170,c_22]) ).
tff(c_40186,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40182,c_4]) ).
tff(c_40237,plain,
! [X_375,Y_376,Z_377] : ( multiply(multiply(X_375,Y_376),Z_377) = multiply(X_375,multiply(Y_376,Z_377)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40264,plain,
! [Z_377] : ( multiply(sk_c8,multiply(sk_c3,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_40186,c_40237]) ).
tff(c_40286,plain,
! [Z_378] : ( multiply(sk_c8,multiply(sk_c3,Z_378)) = Z_378 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40264]) ).
tff(c_40298,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_40211,c_40286]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_40219,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_40170,c_26]) ).
tff(c_40169,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_40174,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40169,c_4]) ).
tff(c_40267,plain,
! [Z_377] : ( multiply(sk_c5,multiply(sk_c4,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_40174,c_40237]) ).
tff(c_40872,plain,
! [Z_391] : ( multiply(sk_c5,multiply(sk_c4,Z_391)) = Z_391 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40267]) ).
tff(c_40884,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_40219,c_40872]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_40200,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_40170,c_20]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_40205,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_40170,c_30]) ).
tff(c_40895,plain,
! [Z_392] : ( multiply(sk_c5,multiply(sk_c8,Z_392)) = multiply(sk_c7,Z_392) ),
inference(superposition,[status(thm),theory(equality)],[c_40205,c_40237]) ).
tff(c_40907,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_40298,c_40895]) ).
tff(c_40923,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_40884,c_40200,c_40907]) ).
tff(c_40926,plain,
multiply(sk_c7,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_40923,c_40200]) ).
tff(c_41351,plain,
! [Z_400] : ( multiply(sk_c3,multiply(sk_c7,Z_400)) = multiply(sk_c8,Z_400) ),
inference(superposition,[status(thm),theory(equality)],[c_40211,c_40237]) ).
tff(c_41366,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_40926,c_41351]) ).
tff(c_41373,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40298,c_41366]) ).
tff(c_40281,plain,
! [Z_377] : ( multiply(sk_c8,multiply(sk_c3,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40264]) ).
tff(c_41378,plain,
multiply(sk_c8,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41373,c_40281]) ).
tff(c_40273,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = multiply(identity,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40237]) ).
tff(c_40401,plain,
! [X_382,Z_383] : ( multiply(inverse(X_382),multiply(X_382,Z_383)) = Z_383 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40273]) ).
tff(c_40479,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_40401]) ).
tff(c_40353,plain,
! [Z_381] : ( multiply(sk_c5,multiply(sk_c4,Z_381)) = Z_381 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40267]) ).
tff(c_40365,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_40219,c_40353]) ).
tff(c_40425,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_40365,c_40401]) ).
tff(c_40484,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40425]) ).
tff(c_40509,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40484,c_40200]) ).
tff(c_40284,plain,
! [X_2,Z_377] : ( multiply(inverse(X_2),multiply(X_2,Z_377)) = Z_377 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40273]) ).
tff(c_40593,plain,
multiply(inverse(identity),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40509,c_40284]) ).
tff(c_40605,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_40593]) ).
tff(c_40505,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40484,c_40298]) ).
tff(c_40701,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40605,c_40605,c_40505]) ).
tff(c_40303,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40200,c_68]) ).
tff(c_40304,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_40303]) ).
tff(c_40506,plain,
multiply(sk_c8,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40484,c_40304]) ).
tff(c_40730,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40701,c_40605,c_40506]) ).
tff(c_40732,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_40303]) ).
tff(c_40925,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40923,c_40732]) ).
tff(c_40736,plain,
! [Z_5] : ( multiply(sk_c8,multiply(sk_c6,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_40732,c_6]) ).
tff(c_41570,plain,
! [Z_403] : ( multiply(sk_c8,multiply(sk_c5,Z_403)) = multiply(sk_c7,Z_403) ),
inference(demodulation,[status(thm),theory(equality)],[c_40923,c_40736]) ).
tff(c_41588,plain,
multiply(sk_c8,sk_c5) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_40884,c_41570]) ).
tff(c_41601,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40925,c_41588]) ).
tff(c_40255,plain,
! [Z_377] : ( multiply(sk_c3,multiply(sk_c7,Z_377)) = multiply(sk_c8,Z_377) ),
inference(superposition,[status(thm),theory(equality)],[c_40211,c_40237]) ).
tff(c_41606,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_41601,c_40255]) ).
tff(c_41612,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_40211,c_41378,c_41606]) ).
tff(c_41626,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41612,c_40182]) ).
tff(c_41623,plain,
multiply(sk_c3,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41612,c_40211]) ).
tff(c_41445,plain,
! [Z_401] : ( multiply(sk_c8,multiply(sk_c5,Z_401)) = multiply(sk_c7,Z_401) ),
inference(demodulation,[status(thm),theory(equality)],[c_40923,c_40736]) ).
tff(c_41463,plain,
multiply(sk_c8,sk_c5) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_40884,c_41445]) ).
tff(c_41476,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_40925,c_41463]) ).
tff(c_41482,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_41476,c_40255]) ).
tff(c_41488,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41378,c_40211,c_41482]) ).
tff(c_41503,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41488,c_40182]) ).
tff(c_41500,plain,
multiply(sk_c3,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41488,c_40211]) ).
tff(c_40731,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_40303]) ).
tff(c_40849,plain,
! [X5_390] :
( ( multiply(inverse(X5_390),sk_c8) != sk_c7 )
| ( multiply(X5_390,inverse(X5_390)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_40731]) ).
tff(c_40853,plain,
( ( multiply(sk_c5,sk_c8) != sk_c7 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_40169,c_40849]) ).
tff(c_40863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40219,c_40169,c_40205,c_40853]) ).
tff(c_40864,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_40731]) ).
tff(c_40990,plain,
! [X3_394] :
( ( inverse(X3_394) != sk_c8 )
| ( multiply(X3_394,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_40864]) ).
tff(c_41007,plain,
( ( inverse(inverse(sk_c8)) != sk_c8 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40990]) ).
tff(c_41016,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_41007]) ).
tff(c_41017,plain,
! [X_395,Z_396] : ( multiply(inverse(X_395),multiply(X_395,Z_396)) = Z_396 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40273]) ).
tff(c_41056,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_40884,c_41017]) ).
tff(c_41105,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41056]) ).
tff(c_41107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41016,c_41105]) ).
tff(c_41109,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_41007]) ).
tff(c_40919,plain,
multiply(sk_c7,sk_c2) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_89,c_40895]) ).
tff(c_41113,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_41109,c_40919]) ).
tff(c_41124,plain,
multiply(sk_c5,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41113]) ).
tff(c_41119,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41109,c_40884]) ).
tff(c_41336,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_41124,c_41119]) ).
tff(c_41013,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40205,c_40990]) ).
tff(c_41342,plain,
inverse(sk_c2) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41336,c_41013]) ).
tff(c_41349,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_41342]) ).
tff(c_41350,plain,
! [X4_10,X1_8] :
( ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_40864]) ).
tff(c_41420,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_41350]) ).
tff(c_41527,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41488,c_41488,c_41420]) ).
tff(c_41558,plain,
inverse(sk_c3) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41500,c_41527]) ).
tff(c_41567,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41503,c_41558]) ).
tff(c_41568,plain,
! [X4_10] :
( ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_41350]) ).
tff(c_41650,plain,
! [X4_10] :
( ( multiply(X4_10,sk_c7) != sk_c5 )
| ( inverse(X4_10) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41612,c_41612,c_41568]) ).
tff(c_41681,plain,
inverse(sk_c3) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41623,c_41650]) ).
tff(c_41690,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41626,c_41681]) ).
tff(c_41692,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_41717,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41692,c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_41735,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41692,c_48]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_41750,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41692,c_50]) ).
tff(c_41691,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_41740,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41692,c_54]) ).
tff(c_41697,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41691,c_4]) ).
tff(c_41771,plain,
! [X_405,Y_406,Z_407] : ( multiply(multiply(X_405,Y_406),Z_407) = multiply(X_405,multiply(Y_406,Z_407)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41804,plain,
! [Z_407] : ( multiply(sk_c5,multiply(sk_c4,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_41697,c_41771]) ).
tff(c_41823,plain,
! [Z_408] : ( multiply(sk_c5,multiply(sk_c4,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41804]) ).
tff(c_41835,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41750,c_41823]) ).
tff(c_41807,plain,
! [X_2,Z_407] : ( multiply(inverse(X_2),multiply(X_2,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_41771]) ).
tff(c_41919,plain,
! [X_412,Z_413] : ( multiply(inverse(X_412),multiply(X_412,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41807]) ).
tff(c_41955,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41835,c_41919]) ).
tff(c_42003,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41955]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_41745,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_41692,c_44]) ).
tff(c_42016,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42003,c_41745]) ).
tff(c_42044,plain,
sk_c8 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42016,c_2]) ).
tff(c_41721,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41717,c_4]) ).
tff(c_41798,plain,
! [Z_407] : ( multiply(sk_c8,multiply(sk_c3,Z_407)) = multiply(identity,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_41721,c_41771]) ).
tff(c_41862,plain,
! [Z_410] : ( multiply(sk_c8,multiply(sk_c3,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41798]) ).
tff(c_41877,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41735,c_41862]) ).
tff(c_42011,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42003,c_41877]) ).
tff(c_42086,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42044,c_42044,c_42011]) ).
tff(c_41821,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41745,c_68]) ).
tff(c_41822,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_41821]) ).
tff(c_42014,plain,
multiply(sk_c8,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42003,c_41822]) ).
tff(c_42210,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42086,c_42044,c_42014]) ).
tff(c_42211,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_41821]) ).
tff(c_42337,plain,
! [X5_418] :
( ( multiply(inverse(X5_418),sk_c8) != sk_c7 )
| ( multiply(X5_418,inverse(X5_418)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_42211]) ).
tff(c_42343,plain,
( ( multiply(sk_c5,sk_c8) != sk_c7 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_41691,c_42337]) ).
tff(c_42353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41750,c_41691,c_41740,c_42343]) ).
tff(c_42354,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_42211]) ).
tff(c_42480,plain,
! [X3_422] :
( ( inverse(X3_422) != sk_c8 )
| ( multiply(X3_422,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_42354]) ).
tff(c_42497,plain,
( ( inverse(inverse(sk_c8)) != sk_c8 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42480]) ).
tff(c_42506,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_42497]) ).
tff(c_42220,plain,
! [Z_415] : ( multiply(sk_c5,multiply(sk_c4,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41804]) ).
tff(c_42232,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_41750,c_42220]) ).
tff(c_42507,plain,
! [X_423,Z_424] : ( multiply(inverse(X_423),multiply(X_423,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41807]) ).
tff(c_42552,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42232,c_42507]) ).
tff(c_42595,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42552]) ).
tff(c_42597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42506,c_42595]) ).
tff(c_42599,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_42497]) ).
tff(c_41693,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_41704,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41693,c_4]) ).
tff(c_42385,plain,
! [Z_420] : ( multiply(sk_c5,multiply(sk_c8,Z_420)) = multiply(sk_c7,Z_420) ),
inference(superposition,[status(thm),theory(equality)],[c_41740,c_41771]) ).
tff(c_42409,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_41704,c_42385]) ).
tff(c_42603,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_42599,c_42409]) ).
tff(c_42614,plain,
multiply(sk_c5,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42603]) ).
tff(c_42612,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42599,c_41740]) ).
tff(c_42362,plain,
! [Z_419] : ( multiply(sk_c8,multiply(sk_c3,Z_419)) = Z_419 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41798]) ).
tff(c_42374,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_41735,c_42362]) ).
tff(c_42397,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_42374,c_42385]) ).
tff(c_42413,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_42232,c_41745,c_42397]) ).
tff(c_41789,plain,
! [Z_407] : ( multiply(sk_c7,multiply(sk_c8,Z_407)) = multiply(sk_c6,Z_407) ),
inference(superposition,[status(thm),theory(equality)],[c_41745,c_41771]) ).
tff(c_42622,plain,
! [Z_407] : ( multiply(sk_c8,Z_407) = multiply(sk_c5,Z_407) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42599,c_42413,c_41789]) ).
tff(c_42212,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_41821]) ).
tff(c_42216,plain,
! [Z_5] : ( multiply(sk_c8,multiply(sk_c6,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_42212,c_6]) ).
tff(c_42719,plain,
! [Z_426] : ( multiply(sk_c5,multiply(sk_c5,Z_426)) = Z_426 ),
inference(demodulation,[status(thm),theory(equality)],[c_42622,c_2,c_42599,c_42413,c_42216]) ).
tff(c_42740,plain,
multiply(sk_c5,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42612,c_42719]) ).
tff(c_42752,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_42614,c_42740]) ).
tff(c_42762,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_42752,c_41693]) ).
tff(c_42746,plain,
multiply(sk_c5,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_41697,c_42719]) ).
tff(c_42753,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_42614,c_42746]) ).
tff(c_42771,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_42753,c_41691]) ).
tff(c_42800,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_42762,c_42771]) ).
tff(c_42503,plain,
inverse(sk_c5) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41740,c_42480]) ).
tff(c_42759,plain,
inverse(sk_c5) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_42752,c_42503]) ).
tff(c_42815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42762,c_42800,c_42759]) ).
tff(c_42816,plain,
! [X4_10,X1_8] :
( ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_42354]) ).
tff(c_42915,plain,
! [X1_430] :
( ( multiply(X1_430,sk_c7) != sk_c8 )
| ( inverse(X1_430) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_42816]) ).
tff(c_42928,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41735,c_42915]) ).
tff(c_42940,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41717,c_42928]) ).
tff(c_43021,plain,
! [X4_432] :
( ( multiply(X4_432,sk_c7) != sk_c8 )
| ( inverse(X4_432) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_42816]) ).
tff(c_43037,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_41735,c_43021]) ).
tff(c_43050,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41717,c_43037]) ).
tff(c_43051,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_43056,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43051,c_4]) ).
tff(c_43096,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41692,c_50]) ).
tff(c_43125,plain,
! [X_433,Y_434,Z_435] : ( multiply(multiply(X_433,Y_434),Z_435) = multiply(X_433,multiply(Y_434,Z_435)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43152,plain,
! [Z_435] : ( multiply(sk_c5,multiply(sk_c4,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_43056,c_43125]) ).
tff(c_43170,plain,
! [Z_436] : ( multiply(sk_c5,multiply(sk_c4,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43152]) ).
tff(c_43182,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_43096,c_43170]) ).
tff(c_43158,plain,
! [X_2,Z_435] : ( multiply(inverse(X_2),multiply(X_2,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43125]) ).
tff(c_43508,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_43158]) ).
tff(c_43535,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43182,c_43508]) ).
tff(c_43575,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43535]) ).
tff(c_43143,plain,
! [Z_435] : ( multiply(sk_c4,multiply(sk_c5,Z_435)) = multiply(sk_c7,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_43096,c_43125]) ).
tff(c_49331,plain,
! [Z_516] : ( multiply(sk_c4,multiply(sk_c5,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43575,c_43143]) ).
tff(c_49361,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43056,c_49331]) ).
tff(c_43571,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_43508]) ).
tff(c_43052,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_43087,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_43052,c_20]) ).
tff(c_43585,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43575,c_43087]) ).
tff(c_43168,plain,
! [X_2,Z_435] : ( multiply(inverse(X_2),multiply(X_2,Z_435)) = Z_435 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43158]) ).
tff(c_43667,plain,
multiply(inverse(identity),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43585,c_43168]) ).
tff(c_43679,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43571,c_43667]) ).
tff(c_43079,plain,
multiply(sk_c5,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_41692,c_54]) ).
tff(c_43586,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43575,c_43079]) ).
tff(c_43682,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43679,c_43586]) ).
tff(c_49349,plain,
multiply(sk_c4,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43682,c_49331]) ).
tff(c_49386,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_49361,c_49349]) ).
tff(c_43060,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43052,c_22]) ).
tff(c_43687,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43679,c_43060]) ).
tff(c_49394,plain,
inverse(sk_c3) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_43687]) ).
tff(c_49395,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_43679]) ).
tff(c_43101,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_41692,c_48]) ).
tff(c_43140,plain,
! [Z_435] : ( multiply(sk_c3,multiply(sk_c7,Z_435)) = multiply(sk_c8,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_43101,c_43125]) ).
tff(c_49449,plain,
! [Z_435] : ( multiply(sk_c4,Z_435) = multiply(sk_c3,Z_435) ),
inference(demodulation,[status(thm),theory(equality)],[c_49395,c_2,c_43575,c_43140]) ).
tff(c_49225,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43687,c_4]) ).
tff(c_49389,plain,
multiply(sk_c4,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49386,c_49225]) ).
tff(c_49518,plain,
multiply(sk_c3,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49449,c_49389]) ).
tff(c_49541,plain,
multiply(inverse(sk_c3),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_49518,c_43168]) ).
tff(c_49547,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_49361,c_49394,c_49541]) ).
tff(c_43582,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43575,c_43182]) ).
tff(c_43568,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43508]) ).
tff(c_49428,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_49394,c_43568]) ).
tff(c_49437,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_43582,c_43051,c_49428]) ).
tff(c_49444,plain,
inverse(sk_c4) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_49437,c_43051]) ).
tff(c_49553,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_49547,c_49444]) ).
tff(c_49559,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_49547,c_49386]) ).
tff(c_49678,plain,
! [X_521,Z_522] : ( multiply(inverse(inverse(X_521)),Z_522) = multiply(X_521,Z_522) ),
inference(superposition,[status(thm),theory(equality)],[c_43508,c_43168]) ).
tff(c_49685,plain,
! [X_521] : ( multiply(X_521,identity) = X_521 ),
inference(superposition,[status(thm),theory(equality)],[c_49678,c_43568]) ).
tff(c_44140,plain,
! [X_451,Z_452] : ( multiply(inverse(inverse(X_451)),Z_452) = multiply(X_451,Z_452) ),
inference(superposition,[status(thm),theory(equality)],[c_43168,c_43508]) ).
tff(c_44184,plain,
! [X_453] : ( multiply(X_453,identity) = X_453 ),
inference(superposition,[status(thm),theory(equality)],[c_44140,c_43568]) ).
tff(c_44202,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44184,c_43571]) ).
tff(c_44161,plain,
! [X_451] : ( multiply(X_451,inverse(X_451)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_44140,c_4]) ).
tff(c_43782,plain,
! [Z_447] : ( multiply(sk_c4,multiply(sk_c5,Z_447)) = Z_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43575,c_43143]) ).
tff(c_43809,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43056,c_43782]) ).
tff(c_43064,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43060,c_4]) ).
tff(c_43155,plain,
! [Z_435] : ( multiply(sk_c8,multiply(sk_c3,Z_435)) = multiply(identity,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_43064,c_43125]) ).
tff(c_43193,plain,
! [Z_437] : ( multiply(sk_c8,multiply(sk_c3,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43155]) ).
tff(c_43205,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43101,c_43193]) ).
tff(c_43581,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43575,c_43205]) ).
tff(c_43746,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43679,c_43679,c_43581]) ).
tff(c_43149,plain,
! [Z_435] : ( multiply(sk_c5,multiply(sk_c8,Z_435)) = multiply(sk_c7,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_43079,c_43125]) ).
tff(c_43863,plain,
! [Z_448] : ( multiply(sk_c5,multiply(sk_c6,Z_448)) = Z_448 ),
inference(demodulation,[status(thm),theory(equality)],[c_43679,c_2,c_43575,c_43149]) ).
tff(c_43884,plain,
multiply(sk_c5,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43746,c_43863]) ).
tff(c_43888,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43582,c_43884]) ).
tff(c_43800,plain,
multiply(sk_c4,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43682,c_43782]) ).
tff(c_43934,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_43888,c_43809,c_43800]) ).
tff(c_43946,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_43934,c_43051]) ).
tff(c_43894,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43888,c_43687]) ).
tff(c_43938,plain,
inverse(sk_c3) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_43934,c_43894]) ).
tff(c_44007,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_43938,c_43568]) ).
tff(c_44016,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_43809,c_43946,c_44007]) ).
tff(c_43897,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43888,c_43679]) ).
tff(c_43939,plain,
sk_c8 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_43934,c_43897]) ).
tff(c_44023,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44016,c_43939]) ).
tff(c_43940,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_43934,c_43888]) ).
tff(c_44022,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44016,c_43940]) ).
tff(c_43219,plain,
! [X_438,Z_439] : ( multiply(inverse(X_438),multiply(X_438,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43158]) ).
tff(c_43279,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_43219]) ).
tff(c_43243,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43182,c_43219]) ).
tff(c_43283,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43243]) ).
tff(c_43293,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43283,c_43087]) ).
tff(c_43364,plain,
multiply(inverse(identity),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43293,c_43168]) ).
tff(c_43376,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43279,c_43364]) ).
tff(c_43289,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43283,c_43205]) ).
tff(c_43454,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43376,c_43376,c_43289]) ).
tff(c_43217,plain,
! [X5_6,X1_8,X4_10,X3_7] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43087,c_68]) ).
tff(c_43218,plain,
multiply(sk_c8,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_43217]) ).
tff(c_43288,plain,
multiply(sk_c8,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_43283,c_43218]) ).
tff(c_43498,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43454,c_43376,c_43288]) ).
tff(c_43500,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_43217]) ).
tff(c_43504,plain,
! [Z_5] : ( multiply(sk_c8,multiply(sk_c6,Z_5)) = multiply(sk_c7,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_43500,c_6]) ).
tff(c_44042,plain,
! [Z_5] : ( multiply(sk_c3,multiply(sk_c3,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_44023,c_44022,c_2,c_43575,c_43504]) ).
tff(c_44147,plain,
! [X_451] : ( multiply(X_451,identity) = X_451 ),
inference(superposition,[status(thm),theory(equality)],[c_44140,c_43568]) ).
tff(c_44379,plain,
! [X_456,Y_457,Z_458] : ( multiply(inverse(multiply(X_456,Y_457)),multiply(X_456,multiply(Y_457,Z_458))) = Z_458 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_43508]) ).
tff(c_44415,plain,
! [X_456,X_451] : ( multiply(inverse(multiply(X_456,X_451)),multiply(X_456,identity)) = inverse(X_451) ),
inference(superposition,[status(thm),theory(equality)],[c_44161,c_44379]) ).
tff(c_45644,plain,
! [X_476,X_477] : ( multiply(inverse(multiply(X_476,X_477)),X_476) = inverse(X_477) ),
inference(demodulation,[status(thm),theory(equality)],[c_44147,c_44415]) ).
tff(c_45758,plain,
! [Z_5] : ( multiply(inverse(Z_5),sk_c3) = inverse(multiply(sk_c3,Z_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_44042,c_45644]) ).
tff(c_43499,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_43217]) ).
tff(c_43696,plain,
! [X3_7,X4_10,X1_8,X5_6] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity )
| ( multiply(X4_10,identity) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( multiply(X1_8,identity) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(inverse(X5_6),sk_c6) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43575,c_43679,c_43575,c_43679,c_43679,c_43575,c_43679,c_43679,c_43575,c_43679,c_43575,c_43679,c_43499]) ).
tff(c_43697,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c6) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity ) ),
inference(splitLeft,[status(thm)],[c_43696]) ).
tff(c_49180,plain,
! [X5_514] : ( inverse(multiply(sk_c3,X5_514)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_44161,c_45758,c_44022,c_43697]) ).
tff(c_49201,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_44161,c_49180]) ).
tff(c_49216,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44202,c_49201]) ).
tff(c_49217,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,identity) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X4_10,identity) != sk_c6 )
| ( inverse(X4_10) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != identity ) ),
inference(splitRight,[status(thm)],[c_43696]) ).
tff(c_284075,plain,
! [X1_8,X4_10,X3_7] :
( ( sk_c3 != X1_8 )
| ( inverse(X1_8) != sk_c3 )
| ( sk_c3 != X4_10 )
| ( inverse(X4_10) != sk_c3 )
| ( inverse(X3_7) != sk_c3 )
| ( multiply(X3_7,sk_c3) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49559,c_49559,c_49559,c_49685,c_49559,c_49559,c_49685,c_49559,c_49217]) ).
tff(c_284077,plain,
! [X3_1114] :
( ( inverse(X3_1114) != sk_c3 )
| ( multiply(X3_1114,sk_c3) != identity ) ),
inference(splitLeft,[status(thm)],[c_284075]) ).
tff(c_284169,plain,
inverse(sk_c3) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_49518,c_284077]) ).
tff(c_284203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49553,c_284169]) ).
tff(c_284204,plain,
! [X4_10,X1_8] :
( ( sk_c3 != X4_10 )
| ( inverse(X4_10) != sk_c3 )
| ( sk_c3 != X1_8 )
| ( inverse(X1_8) != sk_c3 ) ),
inference(splitRight,[status(thm)],[c_284075]) ).
tff(c_284206,plain,
inverse(sk_c3) != sk_c3,
inference(splitLeft,[status(thm)],[c_284204]) ).
tff(c_284208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_284206,c_49553]) ).
tff(c_288055,plain,
inverse(sk_c3) != sk_c3,
inference(splitRight,[status(thm)],[c_284204]) ).
tff(c_288057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_288055,c_49553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:08:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 60.34/47.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.34/47.10
% 60.34/47.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 60.55/47.18
% 60.55/47.18 Inference rules
% 60.55/47.18 ----------------------
% 60.55/47.18 #Ref : 0
% 60.55/47.18 #Sup : 68329
% 60.55/47.18 #Fact : 0
% 60.55/47.18 #Define : 0
% 60.55/47.18 #Split : 45
% 60.55/47.18 #Chain : 0
% 60.55/47.18 #Close : 0
% 60.55/47.18
% 60.55/47.18 Ordering : KBO
% 60.55/47.18
% 60.55/47.18 Simplification rules
% 60.55/47.18 ----------------------
% 60.55/47.18 #Subsume : 12
% 60.55/47.18 #Demod : 359592
% 60.55/47.18 #Tautology : 56936
% 60.55/47.18 #SimpNegUnit : 71
% 60.55/47.18 #BackRed : 575
% 60.55/47.18
% 60.55/47.18 #Partial instantiations: 0
% 60.55/47.18 #Strategies tried : 1
% 60.55/47.18
% 60.55/47.18 Timing (in seconds)
% 60.55/47.18 ----------------------
% 60.55/47.18 Preprocessing : 0.54
% 60.55/47.18 Parsing : 0.23
% 60.55/47.18 CNF conversion : 0.03
% 60.55/47.18 Main loop : 45.40
% 60.55/47.18 Inferencing : 6.79
% 60.55/47.18 Reduction : 33.73
% 60.55/47.18 Demodulation : 32.53
% 60.55/47.18 BG Simplification : 0.42
% 60.55/47.18 Subsumption : 3.31
% 60.55/47.18 Abstraction : 1.87
% 60.55/47.18 MUC search : 0.00
% 60.55/47.18 Cooper : 0.00
% 60.55/47.18 Total : 46.08
% 60.55/47.18 Index Insertion : 0.00
% 60.55/47.18 Index Deletion : 0.00
% 60.55/47.18 Index Matching : 0.00
% 60.55/47.18 BG Taut test : 0.00
%------------------------------------------------------------------------------