TSTP Solution File: GRP265-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP265-1 : 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 : n002.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 10:40:42 EDT 2023
% Result : Unsatisfiable 19.31s 9.79s
% Output : CNFRefutation 20.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 40
% Syntax : Number of formulae : 439 ( 339 unt; 12 typ; 0 def)
% Number of atoms : 612 ( 589 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 391 ( 206 ~; 185 |; 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 229 (; 229 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > 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_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = 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,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
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_110,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(X3,sk_c9) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X4,sk_c8) != sk_c7 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( multiply(sk_c7,X5) != sk_c8 )
| ( multiply(X6,sk_c7) != X5 )
| ( inverse(X6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_57570,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_57574,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57570,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_95,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_117,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_99,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_139,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_160,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_139]) ).
tff(c_178,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160]) ).
tff(c_190,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_117,c_178]) ).
tff(c_166,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_139]) ).
tff(c_465,plain,
! [X_25,Z_26] : ( multiply(inverse(X_25),multiply(X_25,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_166]) ).
tff(c_489,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_190,c_465]) ).
tff(c_524,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_489]) ).
tff(c_537,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_524,c_117]) ).
tff(c_176,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_166]) ).
tff(c_1480,plain,
! [X_43,Z_44] : ( multiply(inverse(inverse(X_43)),Z_44) = multiply(X_43,Z_44) ),
inference(superposition,[status(thm),theory(equality)],[c_176,c_465]) ).
tff(c_516,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_465]) ).
tff(c_1494,plain,
! [X_43] : ( multiply(X_43,identity) = X_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1480,c_516]) ).
tff(c_906,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_465,c_176]) ).
tff(c_917,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_906,c_516]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_109,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_56,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_81,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_85,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_4]) ).
tff(c_163,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_139]) ).
tff(c_246,plain,
! [Z_20] : ( multiply(sk_c8,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_163]) ).
tff(c_258,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_109,c_246]) ).
tff(c_483,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_258,c_465]) ).
tff(c_523,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_483]) ).
tff(c_270,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_166]) ).
tff(c_294,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_190,c_270]) ).
tff(c_329,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_294]) ).
tff(c_344,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_81]) ).
tff(c_288,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_258,c_270]) ).
tff(c_328,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_288]) ).
tff(c_335,plain,
multiply(sk_c2,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_109]) ).
tff(c_395,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_335]) ).
tff(c_64,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_225,plain,
! [X3_19] :
( ( inverse(X3_19) != sk_c9 )
| ( multiply(X3_19,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_232,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_117,c_225]) ).
tff(c_244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95,c_232]) ).
tff(c_245,plain,
! [X4_11,X1_9,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_269,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_245]) ).
tff(c_437,plain,
! [X6_24] :
( ( inverse(X6_24) != identity )
| ( multiply(X6_24,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_329,c_328,c_2,c_328,c_328,c_269]) ).
tff(c_443,plain,
inverse(sk_c2) != identity,
inference(superposition,[status(thm),theory(equality)],[c_395,c_437]) ).
tff(c_463,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_344,c_443]) ).
tff(c_464,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_245]) ).
tff(c_631,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_524,c_523,c_524,c_524,c_524,c_523,c_523,c_464]) ).
tff(c_632,plain,
! [X4_11] :
( ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_631]) ).
tff(c_1250,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_917,c_632]) ).
tff(c_538,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_524,c_85]) ).
tff(c_636,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_538,c_176]) ).
tff(c_648,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_636]) ).
tff(c_539,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_524,c_81]) ).
tff(c_653,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_648,c_539]) ).
tff(c_1252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1250,c_653]) ).
tff(c_1253,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_631]) ).
tff(c_32805,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1494,c_1253]) ).
tff(c_32807,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_32805]) ).
tff(c_519,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_465]) ).
tff(c_1257,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_538,c_176]) ).
tff(c_1269,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_519,c_1257]) ).
tff(c_1274,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1269,c_539]) ).
tff(c_32809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32807,c_1274]) ).
tff(c_32811,plain,
! [X1_207] :
( ( inverse(X1_207) != sk_c9 )
| ( multiply(X1_207,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_32805]) ).
tff(c_32875,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_537,c_32811]) ).
tff(c_32904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95,c_32875]) ).
tff(c_32906,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_32956,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_32906,c_18]) ).
tff(c_20,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32919,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32906,c_20]) ).
tff(c_32923,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32919,c_4]) ).
tff(c_32973,plain,
! [X_208,Y_209,Z_210] : ( multiply(multiply(X_208,Y_209),Z_210) = multiply(X_208,multiply(Y_209,Z_210)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33003,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c5,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_32923,c_32973]) ).
tff(c_33167,plain,
! [Z_217] : ( multiply(sk_c7,multiply(sk_c5,Z_217)) = Z_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33003]) ).
tff(c_33179,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32956,c_33167]) ).
tff(c_16,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_32967,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32906,c_16]) ).
tff(c_33183,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33179,c_32967]) ).
tff(c_33015,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c2,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_32973]) ).
tff(c_33030,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c2,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33015]) ).
tff(c_33298,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c2,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_33183,c_33030]) ).
tff(c_33009,plain,
! [Z_210] : ( multiply(sk_c2,multiply(sk_c8,Z_210)) = multiply(sk_c7,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_32973]) ).
tff(c_33389,plain,
! [Z_220] : ( multiply(sk_c2,multiply(sk_c7,Z_220)) = multiply(sk_c7,Z_220) ),
inference(demodulation,[status(thm),theory(equality)],[c_33183,c_33009]) ).
tff(c_33404,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c2,Z_210)) = multiply(sk_c2,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_33298,c_33389]) ).
tff(c_33429,plain,
! [Z_210] : ( multiply(sk_c2,Z_210) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_33298,c_33404]) ).
tff(c_33438,plain,
! [Z_210] : ( multiply(sk_c7,Z_210) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_33429,c_33298]) ).
tff(c_33455,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33438,c_33179]) ).
tff(c_8,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_32950,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32906,c_8]) ).
tff(c_32905,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_32910,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32905,c_4]) ).
tff(c_33006,plain,
! [Z_210] : ( multiply(sk_c9,multiply(sk_c3,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_32910,c_32973]) ).
tff(c_33144,plain,
! [Z_216] : ( multiply(sk_c9,multiply(sk_c3,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33006]) ).
tff(c_33156,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32950,c_33144]) ).
tff(c_33295,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_33183,c_33156]) ).
tff(c_33504,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_33455,c_33295]) ).
tff(c_33018,plain,
! [X_2,Z_210] : ( multiply(inverse(X_2),multiply(X_2,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32973]) ).
tff(c_33031,plain,
! [X_2,Z_210] : ( multiply(inverse(X_2),multiply(X_2,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33018]) ).
tff(c_33663,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33504,c_33031]) ).
tff(c_33669,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33663]) ).
tff(c_33301,plain,
multiply(sk_c1,sk_c9) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33183,c_32906]) ).
tff(c_33501,plain,
multiply(sk_c1,sk_c9) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33455,c_33301]) ).
tff(c_33733,plain,
multiply(sk_c1,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33669,c_33501]) ).
tff(c_33506,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33455,c_33183]) ).
tff(c_33675,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33669,c_33506]) ).
tff(c_32997,plain,
! [Z_210] : ( multiply(sk_c3,multiply(sk_c9,Z_210)) = multiply(sk_c8,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_32950,c_32973]) ).
tff(c_33753,plain,
! [Z_228] : ( multiply(sk_c3,multiply(sk_c9,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33675,c_32997]) ).
tff(c_33780,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_99,c_33753]) ).
tff(c_33777,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_32910,c_33753]) ).
tff(c_33842,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33780,c_33777]) ).
tff(c_33300,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33183,c_32950]) ).
tff(c_33500,plain,
multiply(sk_c3,sk_c9) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_33455,c_33300]) ).
tff(c_33736,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33669,c_33500]) ).
tff(c_33861,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33842,c_33736]) ).
tff(c_33866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33733,c_33861]) ).
tff(c_33868,plain,
multiply(sk_c2,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_33938,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_33868,c_46]) ).
tff(c_48,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_33885,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33868,c_48]) ).
tff(c_33889,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33885,c_4]) ).
tff(c_33943,plain,
! [X_229,Y_230,Z_231] : ( multiply(multiply(X_229,Y_230),Z_231) = multiply(X_229,multiply(Y_230,Z_231)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33976,plain,
! [Z_231] : ( multiply(sk_c7,multiply(sk_c5,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_33889,c_33943]) ).
tff(c_34143,plain,
! [Z_239] : ( multiply(sk_c7,multiply(sk_c5,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33976]) ).
tff(c_34155,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33938,c_34143]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_33926,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33868,c_44]) ).
tff(c_34159,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34155,c_33926]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_33931,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33868,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_33900,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_33868,c_42]) ).
tff(c_33904,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33900,c_4]) ).
tff(c_33973,plain,
! [Z_231] : ( multiply(sk_c7,multiply(sk_c4,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_33904,c_33943]) ).
tff(c_34120,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c4,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33973]) ).
tff(c_34132,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33931,c_34120]) ).
tff(c_34167,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_34132]) ).
tff(c_33988,plain,
! [X_2,Z_231] : ( multiply(inverse(X_2),multiply(X_2,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33943]) ).
tff(c_34242,plain,
! [X_240,Z_241] : ( multiply(inverse(X_240),multiply(X_240,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33988]) ).
tff(c_34269,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34167,c_34242]) ).
tff(c_34336,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34269]) ).
tff(c_34175,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_81]) ).
tff(c_34351,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34336,c_34175]) ).
tff(c_34437,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34351,c_4]) ).
tff(c_34001,plain,
! [X_2,Z_231] : ( multiply(inverse(X_2),multiply(X_2,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33988]) ).
tff(c_34596,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_34437,c_34001]) ).
tff(c_34608,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34596]) ).
tff(c_34173,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_33868]) ).
tff(c_34349,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34336,c_34336,c_34173]) ).
tff(c_34622,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34608,c_34349]) ).
tff(c_34624,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_34648,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_34624,c_24]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_34671,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_34624,c_32]) ).
tff(c_34623,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_34628,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34623,c_4]) ).
tff(c_34698,plain,
! [X_244,Y_245,Z_246] : ( multiply(multiply(X_244,Y_245),Z_246) = multiply(X_244,multiply(Y_245,Z_246)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34731,plain,
! [Z_246] : ( multiply(sk_c7,multiply(sk_c5,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_34628,c_34698]) ).
tff(c_34845,plain,
! [Z_252] : ( multiply(sk_c7,multiply(sk_c5,Z_252)) = Z_252 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34731]) ).
tff(c_34857,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34671,c_34845]) ).
tff(c_30,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_34662,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34624,c_30]) ).
tff(c_34861,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34857,c_34662]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_34684,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34624,c_22]) ).
tff(c_34652,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34648,c_4]) ).
tff(c_34725,plain,
! [Z_246] : ( multiply(sk_c9,multiply(sk_c3,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_34652,c_34698]) ).
tff(c_34751,plain,
! [Z_247] : ( multiply(sk_c9,multiply(sk_c3,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34725]) ).
tff(c_34763,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34684,c_34751]) ).
tff(c_34870,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_34861,c_34763]) ).
tff(c_34737,plain,
! [X_2,Z_246] : ( multiply(inverse(X_2),multiply(X_2,Z_246)) = multiply(identity,Z_246) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34698]) ).
tff(c_37710,plain,
! [X_289,Z_290] : ( multiply(inverse(X_289),multiply(X_289,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34737]) ).
tff(c_37734,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34870,c_37710]) ).
tff(c_37790,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37734]) ).
tff(c_34871,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34861,c_34684]) ).
tff(c_37803,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37790,c_34871]) ).
tff(c_34749,plain,
! [X_2,Z_246] : ( multiply(inverse(X_2),multiply(X_2,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34737]) ).
tff(c_38132,plain,
! [X_294,Z_295] : ( multiply(inverse(inverse(X_294)),Z_295) = multiply(X_294,Z_295) ),
inference(superposition,[status(thm),theory(equality)],[c_34749,c_37710]) ).
tff(c_37782,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37710]) ).
tff(c_38142,plain,
! [X_294] : ( multiply(X_294,identity) = X_294 ),
inference(superposition,[status(thm),theory(equality)],[c_38132,c_37782]) ).
tff(c_34945,plain,
! [X_254,Z_255] : ( multiply(inverse(X_254),multiply(X_254,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34737]) ).
tff(c_35367,plain,
! [X_259,Z_260] : ( multiply(inverse(inverse(X_259)),Z_260) = multiply(X_259,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_34749,c_34945]) ).
tff(c_35017,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34945]) ).
tff(c_35377,plain,
! [X_259] : ( multiply(X_259,identity) = X_259 ),
inference(superposition,[status(thm),theory(equality)],[c_35367,c_35017]) ).
tff(c_34969,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34870,c_34945]) ).
tff(c_35025,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34969]) ).
tff(c_34804,plain,
! [X3_250] :
( ( inverse(X3_250) != sk_c9 )
| ( multiply(X3_250,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_34811,plain,
inverse(sk_c3) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34684,c_34804]) ).
tff(c_34823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34648,c_34811]) ).
tff(c_34824,plain,
! [X4_11,X1_9,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_34879,plain,
! [X4_11,X1_9,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34861,c_34861,c_34861,c_34861,c_34861,c_34824]) ).
tff(c_34880,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_34879]) ).
tff(c_37642,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35377,c_35025,c_35025,c_2,c_35025,c_35025,c_34880]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_34636,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34624,c_28]) ).
tff(c_34640,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34636,c_4]) ).
tff(c_35044,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35025,c_34640]) ).
tff(c_35131,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_35044,c_34749]) ).
tff(c_35143,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35131]) ).
tff(c_35045,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35025,c_34636]) ).
tff(c_35176,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35143,c_35045]) ).
tff(c_37644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37642,c_35176]) ).
tff(c_37645,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_34879]) ).
tff(c_45064,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38142,c_37790,c_37790,c_37790,c_37790,c_38142,c_37790,c_37790,c_37790,c_37645]) ).
tff(c_45066,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_45064]) ).
tff(c_37809,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37790,c_34640]) ).
tff(c_37896,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_37809,c_34749]) ).
tff(c_37908,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37896]) ).
tff(c_37810,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37790,c_34636]) ).
tff(c_37941,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37908,c_37810]) ).
tff(c_45068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45066,c_37941]) ).
tff(c_45069,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_45064]) ).
tff(c_57492,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_45069]) ).
tff(c_57494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57492,c_37941]) ).
tff(c_57496,plain,
! [X1_420] :
( ( inverse(X1_420) != sk_c9 )
| ( multiply(X1_420,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_45069]) ).
tff(c_57532,plain,
inverse(sk_c3) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_37803,c_57496]) ).
tff(c_57555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34648,c_57532]) ).
tff(c_57557,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_60,plain,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_57619,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_57557,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_57595,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_57557,c_62]) ).
tff(c_57599,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57595,c_4]) ).
tff(c_57645,plain,
! [X_421,Y_422,Z_423] : ( multiply(multiply(X_421,Y_422),Z_423) = multiply(X_421,multiply(Y_422,Z_423)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_57672,plain,
! [Z_423] : ( multiply(sk_c7,multiply(sk_c5,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_57599,c_57645]) ).
tff(c_57698,plain,
! [Z_424] : ( multiply(sk_c7,multiply(sk_c5,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57672]) ).
tff(c_57710,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57619,c_57698]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_57610,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57557,c_58]) ).
tff(c_57714,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57710,c_57610]) ).
tff(c_50,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_57624,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57557,c_50]) ).
tff(c_57766,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57714,c_57624]) ).
tff(c_52,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_57582,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_57557,c_52]) ).
tff(c_57586,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57582,c_4]) ).
tff(c_57675,plain,
! [Z_423] : ( multiply(sk_c9,multiply(sk_c3,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_57586,c_57645]) ).
tff(c_60676,plain,
! [Z_465] : ( multiply(sk_c9,multiply(sk_c3,Z_465)) = Z_465 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57675]) ).
tff(c_60688,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_57766,c_60676]) ).
tff(c_57684,plain,
! [X_2,Z_423] : ( multiply(inverse(X_2),multiply(X_2,Z_423)) = multiply(identity,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57645]) ).
tff(c_60788,plain,
! [X_468,Z_469] : ( multiply(inverse(X_468),multiply(X_468,Z_469)) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57684]) ).
tff(c_60827,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_60688,c_60788]) ).
tff(c_60886,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60827]) ).
tff(c_60916,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60886,c_57714]) ).
tff(c_57663,plain,
! [Z_423] : ( multiply(sk_c3,multiply(sk_c9,Z_423)) = multiply(sk_c8,Z_423) ),
inference(superposition,[status(thm),theory(equality)],[c_57624,c_57645]) ).
tff(c_61047,plain,
! [Z_471] : ( multiply(sk_c3,multiply(sk_c9,Z_471)) = Z_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60916,c_57663]) ).
tff(c_61071,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_57574,c_61047]) ).
tff(c_61068,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_57586,c_61047]) ).
tff(c_61182,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_61071,c_61068]) ).
tff(c_60913,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60886,c_57766]) ).
tff(c_61200,plain,
multiply(sk_c1,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61182,c_60913]) ).
tff(c_57696,plain,
! [X_2,Z_423] : ( multiply(inverse(X_2),multiply(X_2,Z_423)) = Z_423 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57684]) ).
tff(c_61279,plain,
! [X_474,Z_475] : ( multiply(inverse(inverse(X_474)),Z_475) = multiply(X_474,Z_475) ),
inference(superposition,[status(thm),theory(equality)],[c_57696,c_60788]) ).
tff(c_60875,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_60788]) ).
tff(c_61286,plain,
! [X_474] : ( multiply(X_474,identity) = X_474 ),
inference(superposition,[status(thm),theory(equality)],[c_61279,c_60875]) ).
tff(c_57900,plain,
! [X_429,Z_430] : ( multiply(inverse(X_429),multiply(X_429,Z_430)) = Z_430 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57684]) ).
tff(c_58391,plain,
! [X_435,Z_436] : ( multiply(inverse(inverse(X_435)),Z_436) = multiply(X_435,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_57696,c_57900]) ).
tff(c_57987,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57900]) ).
tff(c_58398,plain,
! [X_435] : ( multiply(X_435,identity) = X_435 ),
inference(superposition,[status(thm),theory(equality)],[c_58391,c_57987]) ).
tff(c_57788,plain,
! [Z_426] : ( multiply(sk_c9,multiply(sk_c3,Z_426)) = Z_426 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57675]) ).
tff(c_57800,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_57766,c_57788]) ).
tff(c_57939,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_57800,c_57900]) ).
tff(c_57998,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57939]) ).
tff(c_57724,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_57714,c_57624]) ).
tff(c_57722,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_57737,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57714,c_57722]) ).
tff(c_57754,plain,
inverse(sk_c3) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_57724,c_57737]) ).
tff(c_57763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57582,c_57754]) ).
tff(c_57764,plain,
! [X4_11,X1_9,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_57786,plain,
! [X4_11,X1_9,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57714,c_57714,c_57714,c_57714,c_57714,c_57764]) ).
tff(c_57787,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_57786]) ).
tff(c_60672,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_58398,c_57998,c_57998,c_2,c_57998,c_57998,c_57787]) ).
tff(c_58031,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57998,c_57595]) ).
tff(c_57951,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57710,c_57900]) ).
tff(c_58001,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_57951]) ).
tff(c_57556,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_57561,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_57556,c_4]) ).
tff(c_57827,plain,
! [Z_428] : ( multiply(sk_c5,multiply(sk_c7,Z_428)) = multiply(sk_c6,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_57619,c_57645]) ).
tff(c_57854,plain,
multiply(sk_c6,sk_c4) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_57561,c_57827]) ).
tff(c_58006,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_58001,c_57854]) ).
tff(c_58013,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58006]) ).
tff(c_58106,plain,
multiply(inverse(sk_c5),sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_58013,c_57696]) ).
tff(c_58112,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58031,c_58106]) ).
tff(c_58033,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_57998,c_57556]) ).
tff(c_58135,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_58112,c_58033]) ).
tff(c_60674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60672,c_58135]) ).
tff(c_60675,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_57786]) ).
tff(c_67950,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X4_11) != identity )
| ( identity != X4_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61286,c_60886,c_60886,c_60886,c_60886,c_61286,c_60886,c_60886,c_60886,c_60675]) ).
tff(c_67952,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_67950]) ).
tff(c_60919,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60886,c_57595]) ).
tff(c_60839,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_57710,c_60788]) ).
tff(c_60889,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_60839]) ).
tff(c_60715,plain,
! [Z_467] : ( multiply(sk_c5,multiply(sk_c7,Z_467)) = multiply(sk_c6,Z_467) ),
inference(superposition,[status(thm),theory(equality)],[c_57619,c_57645]) ).
tff(c_60742,plain,
multiply(sk_c6,sk_c4) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_57561,c_60715]) ).
tff(c_60894,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_60889,c_60742]) ).
tff(c_60901,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60894]) ).
tff(c_60994,plain,
multiply(inverse(sk_c5),sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_60901,c_57696]) ).
tff(c_61000,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60919,c_60994]) ).
tff(c_60921,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_60886,c_57556]) ).
tff(c_61023,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_61000,c_60921]) ).
tff(c_67954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67952,c_61023]) ).
tff(c_67955,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_67950]) ).
tff(c_85272,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_67955]) ).
tff(c_85274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85272,c_61023]) ).
tff(c_85276,plain,
! [X1_616] :
( ( inverse(X1_616) != sk_c9 )
| ( multiply(X1_616,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_67955]) ).
tff(c_85332,plain,
inverse(sk_c1) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_61200,c_85276]) ).
tff(c_85359,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57570,c_85332]) ).
tff(c_85361,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_85362,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_85370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85361,c_85362]) ).
tff(c_85371,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_85404,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_85361,c_32]) ).
tff(c_85360,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_85376,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85360,c_4]) ).
tff(c_85441,plain,
! [X_617,Y_618,Z_619] : ( multiply(multiply(X_617,Y_618),Z_619) = multiply(X_617,multiply(Y_618,Z_619)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_85471,plain,
! [Z_619] : ( multiply(sk_c7,multiply(sk_c5,Z_619)) = multiply(identity,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_85376,c_85441]) ).
tff(c_85588,plain,
! [Z_624] : ( multiply(sk_c7,multiply(sk_c5,Z_624)) = Z_624 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85471]) ).
tff(c_85600,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_85404,c_85588]) ).
tff(c_85410,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_85361,c_30]) ).
tff(c_85604,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_85600,c_85410]) ).
tff(c_54,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_85399,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57557,c_54]) ).
tff(c_85474,plain,
! [Z_619] : ( multiply(sk_c7,multiply(sk_c4,Z_619)) = multiply(identity,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_57561,c_85441]) ).
tff(c_85565,plain,
! [Z_623] : ( multiply(sk_c7,multiply(sk_c4,Z_623)) = Z_623 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85474]) ).
tff(c_85577,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_85399,c_85565]) ).
tff(c_85746,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_85604,c_85577]) ).
tff(c_85477,plain,
! [X_2,Z_619] : ( multiply(inverse(X_2),multiply(X_2,Z_619)) = multiply(identity,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_85441]) ).
tff(c_87009,plain,
! [X_647,Z_648] : ( multiply(inverse(X_647),multiply(X_647,Z_648)) = Z_648 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85477]) ).
tff(c_87042,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_85746,c_87009]) ).
tff(c_87103,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87042]) ).
tff(c_85417,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_57557,c_50]) ).
tff(c_85748,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_85604,c_85417]) ).
tff(c_87116,plain,
multiply(sk_c3,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87103,c_85748]) ).
tff(c_85488,plain,
! [X_2,Z_619] : ( multiply(inverse(X_2),multiply(X_2,Z_619)) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85477]) ).
tff(c_87428,plain,
! [X_653,Z_654] : ( multiply(inverse(inverse(X_653)),Z_654) = multiply(X_653,Z_654) ),
inference(superposition,[status(thm),theory(equality)],[c_87009,c_85488]) ).
tff(c_87093,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_87009]) ).
tff(c_87438,plain,
! [X_653] : ( multiply(X_653,identity) = X_653 ),
inference(superposition,[status(thm),theory(equality)],[c_87428,c_87093]) ).
tff(c_85893,plain,
! [X_629,Z_630] : ( multiply(inverse(X_629),multiply(X_629,Z_630)) = Z_630 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_85477]) ).
tff(c_86296,plain,
! [X_634,Z_635] : ( multiply(inverse(inverse(X_634)),Z_635) = multiply(X_634,Z_635) ),
inference(superposition,[status(thm),theory(equality)],[c_85893,c_85488]) ).
tff(c_85977,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_85893]) ).
tff(c_86306,plain,
! [X_634] : ( multiply(X_634,identity) = X_634 ),
inference(superposition,[status(thm),theory(equality)],[c_86296,c_85977]) ).
tff(c_85926,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_85746,c_85893]) ).
tff(c_85987,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_85926]) ).
tff(c_85613,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_85604,c_85577]) ).
tff(c_85616,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_85604,c_85399]) ).
tff(c_85537,plain,
! [X3_622] :
( ( inverse(X3_622) != sk_c9 )
| ( multiply(X3_622,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_85544,plain,
inverse(sk_c3) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_85417,c_85537]) ).
tff(c_85556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85371,c_85544]) ).
tff(c_85557,plain,
! [X4_11,X1_9,X2_10,X6_7] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_85612,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_85557]) ).
tff(c_85702,plain,
! [X6_626] :
( ( inverse(X6_626) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_626,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85604,c_85612]) ).
tff(c_85711,plain,
( ( inverse(sk_c4) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_85616,c_85702]) ).
tff(c_85744,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85613,c_57556,c_85711]) ).
tff(c_85745,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_85557]) ).
tff(c_85834,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85604,c_85604,c_85604,c_85604,c_85745]) ).
tff(c_85835,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_85834]) ).
tff(c_86948,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_86306,c_85987,c_85987,c_85987,c_85835]) ).
tff(c_86011,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85987,c_85360]) ).
tff(c_85941,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_85600,c_85893]) ).
tff(c_85992,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_85941]) ).
tff(c_85762,plain,
! [Z_627] : ( multiply(sk_c5,multiply(sk_c7,Z_627)) = multiply(sk_c6,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_85404,c_85441]) ).
tff(c_85789,plain,
multiply(sk_c6,sk_c4) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_57561,c_85762]) ).
tff(c_86026,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_85992,c_85789]) ).
tff(c_86029,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86026]) ).
tff(c_86126,plain,
multiply(inverse(sk_c5),sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86029,c_85488]) ).
tff(c_86132,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_86011,c_86126]) ).
tff(c_86013,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85987,c_57556]) ).
tff(c_86136,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_86132,c_86013]) ).
tff(c_86950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86948,c_86136]) ).
tff(c_86951,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_85834]) ).
tff(c_91170,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != identity )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87438,c_87103,c_87103,c_87103,c_87103,c_86951]) ).
tff(c_91172,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_91170]) ).
tff(c_87121,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87103,c_85604]) ).
tff(c_85465,plain,
! [Z_619] : ( multiply(sk_c4,multiply(sk_c7,Z_619)) = multiply(sk_c8,Z_619) ),
inference(superposition,[status(thm),theory(equality)],[c_85399,c_85441]) ).
tff(c_87264,plain,
! [Z_619] : ( multiply(sk_c4,Z_619) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87121,c_2,c_87103,c_85465]) ).
tff(c_87057,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_85600,c_87009]) ).
tff(c_87108,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_87057]) ).
tff(c_87171,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_87108,c_85789]) ).
tff(c_87174,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87171]) ).
tff(c_85786,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_85376,c_85762]) ).
tff(c_87172,plain,
multiply(sk_c5,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_87108,c_85786]) ).
tff(c_87175,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_87172]) ).
tff(c_87251,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_87174,c_87175]) ).
tff(c_87282,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_87251,c_87174]) ).
tff(c_87284,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87264,c_87282]) ).
tff(c_87129,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87103,c_57556]) ).
tff(c_87292,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_87284,c_87129]) ).
tff(c_91174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91172,c_87292]) ).
tff(c_91176,plain,
! [X1_694] :
( ( inverse(X1_694) != sk_c9 )
| ( multiply(X1_694,sk_c9) != identity ) ),
inference(splitRight,[status(thm)],[c_91170]) ).
tff(c_91205,plain,
inverse(sk_c3) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_87116,c_91176]) ).
tff(c_91227,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85371,c_91205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:12:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.31/9.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.57/9.88
% 20.57/9.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.87/9.95
% 20.87/9.95 Inference rules
% 20.87/9.95 ----------------------
% 20.87/9.95 #Ref : 0
% 20.87/9.95 #Sup : 21882
% 20.87/9.95 #Fact : 0
% 20.87/9.95 #Define : 0
% 20.87/9.95 #Split : 28
% 20.87/9.95 #Chain : 0
% 20.87/9.95 #Close : 0
% 20.87/9.95
% 20.87/9.95 Ordering : KBO
% 20.87/9.95
% 20.87/9.95 Simplification rules
% 20.87/9.95 ----------------------
% 20.87/9.95 #Subsume : 3
% 20.87/9.95 #Demod : 53389
% 20.87/9.95 #Tautology : 17274
% 20.87/9.95 #SimpNegUnit : 46
% 20.87/9.95 #BackRed : 369
% 20.87/9.95
% 20.87/9.95 #Partial instantiations: 0
% 20.87/9.95 #Strategies tried : 1
% 20.87/9.95
% 20.87/9.95 Timing (in seconds)
% 20.87/9.95 ----------------------
% 20.87/9.96 Preprocessing : 0.63
% 20.87/9.96 Parsing : 0.30
% 20.87/9.96 CNF conversion : 0.03
% 20.87/9.96 Main loop : 8.01
% 20.87/9.96 Inferencing : 1.63
% 20.87/9.96 Reduction : 5.06
% 20.87/9.96 Demodulation : 4.73
% 20.87/9.96 BG Simplification : 0.15
% 20.87/9.96 Subsumption : 0.83
% 20.87/9.96 Abstraction : 0.31
% 20.87/9.96 MUC search : 0.00
% 20.87/9.96 Cooper : 0.00
% 20.87/9.96 Total : 8.81
% 20.87/9.96 Index Insertion : 0.00
% 20.87/9.96 Index Deletion : 0.00
% 20.87/9.96 Index Matching : 0.00
% 20.87/9.96 BG Taut test : 0.00
%------------------------------------------------------------------------------