TSTP Solution File: GRP298-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 10:40:50 EDT 2023
% Result : Unsatisfiable 58.08s 45.43s
% Output : CNFRefutation 58.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 38
% Syntax : Number of formulae : 382 ( 307 unt; 11 typ; 0 def)
% Number of atoms : 520 ( 503 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 303 ( 154 ~; 149 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 197 (; 197 !; 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_68,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_131,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_155,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X4,X5) != sk_c7 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_105,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_119,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_52,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_89,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_93,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89,c_4]) ).
tff(c_144,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_168,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_144]) ).
tff(c_182,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_168]) ).
tff(c_194,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_119,c_182]) ).
tff(c_198,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_105,c_194]) ).
tff(c_203,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_198,c_93]) ).
tff(c_171,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_144]) ).
tff(c_270,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_171]) ).
tff(c_300,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_203,c_270]) ).
tff(c_201,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_198,c_105]) ).
tff(c_294,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_201,c_270]) ).
tff(c_316,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_294]) ).
tff(c_68,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_104,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_202,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_198,c_104]) ).
tff(c_291,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_202,c_270]) ).
tff(c_433,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_300,c_316,c_291]) ).
tff(c_204,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_198,c_89]) ).
tff(c_440,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_433,c_204]) ).
tff(c_338,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_316,c_202]) ).
tff(c_435,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_433,c_433,c_338]) ).
tff(c_359,plain,
! [X_21] : ( multiply(inverse(identity),X_21) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_270]) ).
tff(c_180,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_171]) ).
tff(c_545,plain,
! [X_24] : ( multiply(inverse(inverse(identity)),X_24) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_359,c_180]) ).
tff(c_566,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_545,c_4]) ).
tff(c_614,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_180,c_270]) ).
tff(c_635,plain,
! [X_25] : ( multiply(X_25,inverse(X_25)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_614,c_4]) ).
tff(c_441,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_433,c_198]) ).
tff(c_165,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c8,Z_15)) = multiply(sk_c7,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_104,c_144]) ).
tff(c_450,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_441,c_433,c_2,c_316,c_165]) ).
tff(c_309,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_270]) ).
tff(c_621,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_614,c_309]) ).
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_909,plain,
! [X_32,Y_33,Z_34] : ( multiply(inverse(multiply(X_32,Y_33)),multiply(X_32,multiply(Y_33,Z_34))) = Z_34 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_270]) ).
tff(c_957,plain,
! [X_32,X_25] : ( multiply(inverse(multiply(X_32,X_25)),multiply(X_32,identity)) = inverse(X_25) ),
inference(superposition,[status(thm),theory(equality)],[c_635,c_909]) ).
tff(c_1581,plain,
! [X_44,X_45] : ( multiply(inverse(multiply(X_44,X_45)),X_44) = inverse(X_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_621,c_957]) ).
tff(c_1689,plain,
! [Z_15] : ( multiply(inverse(Z_15),sk_c1) = inverse(multiply(sk_c1,Z_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_450,c_1581]) ).
tff(c_72,plain,
! [X4_10,X3_7,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_231,plain,
! [X4_10,X3_7,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198,c_198,c_198,c_198,c_198,c_198,c_198,c_198,c_198,c_72]) ).
tff(c_232,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_231]) ).
tff(c_233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232,c_201]) ).
tff(c_234,plain,
! [X2_9,X1_8,X3_7,X4_10] :
( ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_231]) ).
tff(c_8608,plain,
! [X2_9,X1_8,X3_7,X4_10] :
( ( inverse(X2_9) != sk_c1 )
| ( multiply(X2_9,sk_c1) != identity )
| ( inverse(X1_8) != sk_c1 )
| ( multiply(X1_8,sk_c1) != identity )
| ( sk_c1 != X3_7 )
| ( inverse(X3_7) != sk_c1 )
| ( inverse(multiply(sk_c1,X4_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_635,c_316,c_1689,c_433,c_316,c_433,c_621,c_433,c_316,c_433,c_316,c_433,c_433,c_316,c_433,c_435,c_433,c_433,c_316,c_435,c_433,c_433,c_316,c_234]) ).
tff(c_8610,plain,
! [X4_106] : ( inverse(multiply(sk_c1,X4_106)) != identity ),
inference(splitLeft,[status(thm)],[c_8608]) ).
tff(c_8640,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_635,c_8610]) ).
tff(c_8656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_8640]) ).
tff(c_8657,plain,
! [X2_9,X1_8,X3_7] :
( ( inverse(X2_9) != sk_c1 )
| ( multiply(X2_9,sk_c1) != identity )
| ( inverse(X1_8) != sk_c1 )
| ( multiply(X1_8,sk_c1) != identity )
| ( sk_c1 != X3_7 )
| ( inverse(X3_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_8608]) ).
tff(c_183206,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_8657]) ).
tff(c_183208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_183206,c_440]) ).
tff(c_183209,plain,
! [X1_8,X2_9] :
( ( inverse(X1_8) != sk_c1 )
| ( multiply(X1_8,sk_c1) != identity )
| ( inverse(X2_9) != sk_c1 )
| ( multiply(X2_9,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_8657]) ).
tff(c_183211,plain,
! [X2_532] :
( ( inverse(X2_532) != sk_c1 )
| ( multiply(X2_532,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_183209]) ).
tff(c_183293,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_435,c_183211]) ).
tff(c_183325,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_440,c_183293]) ).
tff(c_185055,plain,
! [X1_537] :
( ( inverse(X1_537) != sk_c1 )
| ( multiply(X1_537,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_183209]) ).
tff(c_185140,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_435,c_185055]) ).
tff(c_185172,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_440,c_185140]) ).
tff(c_185174,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_24,plain,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_185241,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_185174,c_24]) ).
tff(c_26,plain,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_185201,plain,
inverse(sk_c2) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_185174,c_26]) ).
tff(c_185205,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_185201,c_4]) ).
tff(c_185248,plain,
! [X_538,Y_539,Z_540] : ( multiply(multiply(X_538,Y_539),Z_540) = multiply(X_538,multiply(Y_539,Z_540)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_185278,plain,
! [Z_540] : ( multiply(sk_c8,multiply(sk_c2,Z_540)) = multiply(identity,Z_540) ),
inference(superposition,[status(thm),theory(equality)],[c_185205,c_185248]) ).
tff(c_185824,plain,
! [Z_549] : ( multiply(sk_c8,multiply(sk_c2,Z_549)) = Z_549 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185278]) ).
tff(c_185836,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_185241,c_185824]) ).
tff(c_185840,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_105,c_185836]) ).
tff(c_185854,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_185840,c_89]) ).
tff(c_185871,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_185854,c_4]) ).
tff(c_185851,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_185840,c_105]) ).
tff(c_185296,plain,
! [X_2,Z_540] : ( multiply(inverse(X_2),multiply(X_2,Z_540)) = multiply(identity,Z_540) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_185248]) ).
tff(c_185928,plain,
! [X_550,Z_551] : ( multiply(inverse(X_550),multiply(X_550,Z_551)) = Z_551 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185296]) ).
tff(c_185955,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_185851,c_185928]) ).
tff(c_186001,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_185955]) ).
tff(c_185290,plain,
! [Z_540] : ( multiply(sk_c6,multiply(sk_c8,Z_540)) = multiply(sk_c7,Z_540) ),
inference(superposition,[status(thm),theory(equality)],[c_104,c_185248]) ).
tff(c_186084,plain,
! [Z_552] : ( multiply(sk_c6,multiply(sk_c6,Z_552)) = Z_552 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186001,c_185840,c_185290]) ).
tff(c_186114,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_185871,c_186084]) ).
tff(c_186007,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_186001,c_185851]) ).
tff(c_186186,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_186114,c_186007]) ).
tff(c_186211,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_186186,c_185871]) ).
tff(c_185849,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_185840,c_185174]) ).
tff(c_186017,plain,
multiply(sk_c1,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_186001,c_185849]) ).
tff(c_186208,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_186186,c_186017]) ).
tff(c_186368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186211,c_186208]) ).
tff(c_186370,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_8,plain,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_186994,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_186370,c_8]) ).
tff(c_186369,plain,
inverse(sk_c2) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_186374,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_186369,c_4]) ).
tff(c_187018,plain,
! [X_566,Y_567,Z_568] : ( multiply(multiply(X_566,Y_567),Z_568) = multiply(X_566,multiply(Y_567,Z_568)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_187054,plain,
! [Z_568] : ( multiply(sk_c8,multiply(sk_c2,Z_568)) = multiply(identity,Z_568) ),
inference(superposition,[status(thm),theory(equality)],[c_186374,c_187018]) ).
tff(c_187115,plain,
! [Z_571] : ( multiply(sk_c8,multiply(sk_c2,Z_571)) = Z_571 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187054]) ).
tff(c_187127,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_186994,c_187115]) ).
tff(c_187063,plain,
! [X_2,Z_568] : ( multiply(inverse(X_2),multiply(X_2,Z_568)) = multiply(identity,Z_568) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_187018]) ).
tff(c_187226,plain,
! [X_574,Z_575] : ( multiply(inverse(X_574),multiply(X_574,Z_575)) = Z_575 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187063]) ).
tff(c_187262,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_187127,c_187226]) ).
tff(c_187330,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_187262]) ).
tff(c_186387,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_186458,plain,
! [X_555,Y_556,Z_557] : ( multiply(multiply(X_555,Y_556),Z_557) = multiply(X_555,multiply(Y_556,Z_557)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_186503,plain,
! [Z_557] : ( multiply(sk_c8,multiply(sk_c1,Z_557)) = multiply(identity,Z_557) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_186458]) ).
tff(c_186520,plain,
! [Z_558] : ( multiply(sk_c8,multiply(sk_c1,Z_558)) = Z_558 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186503]) ).
tff(c_186532,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_186387,c_186520]) ).
tff(c_186538,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_186532,c_186370]) ).
tff(c_186506,plain,
! [X_2,Z_557] : ( multiply(inverse(X_2),multiply(X_2,Z_557)) = multiply(identity,Z_557) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_186458]) ).
tff(c_186585,plain,
! [X_561,Z_562] : ( multiply(inverse(X_561),multiply(X_561,Z_562)) = Z_562 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186506]) ).
tff(c_186612,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_186532,c_186585]) ).
tff(c_186673,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_186612]) ).
tff(c_12,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_186450,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_186370,c_12]) ).
tff(c_186683,plain,
multiply(sk_c8,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_186673,c_186450]) ).
tff(c_186500,plain,
! [Z_557] : ( multiply(sk_c6,multiply(sk_c8,Z_557)) = multiply(sk_c7,Z_557) ),
inference(superposition,[status(thm),theory(equality)],[c_104,c_186458]) ).
tff(c_186810,plain,
! [Z_557] : ( multiply(sk_c6,multiply(sk_c8,Z_557)) = Z_557 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186673,c_186500]) ).
tff(c_186862,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_186683,c_186810]) ).
tff(c_16,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_186434,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_186370,c_16]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_186392,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_186370,c_14]) ).
tff(c_186396,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_186392,c_4]) ).
tff(c_186491,plain,
! [Z_557] : ( multiply(sk_c8,multiply(sk_c3,Z_557)) = multiply(identity,Z_557) ),
inference(superposition,[status(thm),theory(equality)],[c_186396,c_186458]) ).
tff(c_186546,plain,
! [Z_559] : ( multiply(sk_c8,multiply(sk_c3,Z_559)) = Z_559 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186491]) ).
tff(c_186558,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_186434,c_186546]) ).
tff(c_186681,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_186673,c_186558]) ).
tff(c_186848,plain,
multiply(sk_c6,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_186681,c_186810]) ).
tff(c_186940,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_186862,c_186848]) ).
tff(c_186941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186538,c_186940]) ).
tff(c_186943,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_187351,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_187330,c_186943]) ).
tff(c_187139,plain,
! [Z_572] : ( multiply(sk_c6,multiply(sk_c8,Z_572)) = multiply(sk_c7,Z_572) ),
inference(superposition,[status(thm),theory(equality)],[c_104,c_187018]) ).
tff(c_187169,plain,
multiply(sk_c7,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_93,c_187139]) ).
tff(c_187340,plain,
multiply(sk_c6,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_187330,c_187169]) ).
tff(c_187354,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187340]) ).
tff(c_186989,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_186370,c_12]) ).
tff(c_187160,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_186989,c_187139]) ).
tff(c_187339,plain,
multiply(sk_c6,identity) = multiply(identity,sk_c6),
inference(demodulation,[status(thm),theory(equality)],[c_187330,c_187330,c_187160]) ).
tff(c_187353,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187339]) ).
tff(c_187497,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_187354,c_187353]) ).
tff(c_187352,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_187330,c_104]) ).
tff(c_187502,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_187497,c_187352]) ).
tff(c_187507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187351,c_187502]) ).
tff(c_187509,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_56,plain,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_188706,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_187509,c_56]) ).
tff(c_187510,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_187585,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_187509,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_187550,plain,
inverse(sk_c2) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_187509,c_58]) ).
tff(c_187554,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_187550,c_4]) ).
tff(c_187598,plain,
! [X_578,Y_579,Z_580] : ( multiply(multiply(X_578,Y_579),Z_580) = multiply(X_578,multiply(Y_579,Z_580)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_187628,plain,
! [Z_580] : ( multiply(sk_c8,multiply(sk_c2,Z_580)) = multiply(identity,Z_580) ),
inference(superposition,[status(thm),theory(equality)],[c_187554,c_187598]) ).
tff(c_187660,plain,
! [Z_581] : ( multiply(sk_c8,multiply(sk_c2,Z_581)) = Z_581 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187628]) ).
tff(c_187672,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_187585,c_187660]) ).
tff(c_187676,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_187510,c_187672]) ).
tff(c_60,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_187564,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_187509,c_60]) ).
tff(c_187682,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_187676,c_187564]) ).
tff(c_187689,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_187676,c_187509]) ).
tff(c_187740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187682,c_187689]) ).
tff(c_187741,plain,
inverse(sk_c2) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_187753,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_187741,c_4]) ).
tff(c_188719,plain,
! [X_596,Y_597,Z_598] : ( multiply(multiply(X_596,Y_597),Z_598) = multiply(X_596,multiply(Y_597,Z_598)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_188755,plain,
! [Z_598] : ( multiply(sk_c8,multiply(sk_c2,Z_598)) = multiply(identity,Z_598) ),
inference(superposition,[status(thm),theory(equality)],[c_187753,c_188719]) ).
tff(c_188836,plain,
! [Z_602] : ( multiply(sk_c8,multiply(sk_c2,Z_602)) = Z_602 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188755]) ).
tff(c_188848,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_188706,c_188836]) ).
tff(c_188761,plain,
! [X_2,Z_598] : ( multiply(inverse(X_2),multiply(X_2,Z_598)) = multiply(identity,Z_598) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_188719]) ).
tff(c_188873,plain,
! [X_604,Z_605] : ( multiply(inverse(X_604),multiply(X_604,Z_605)) = Z_605 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188761]) ).
tff(c_188894,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_188848,c_188873]) ).
tff(c_188964,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_188894]) ).
tff(c_28,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_187803,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_187834,plain,
! [X_582,Y_583,Z_584] : ( multiply(multiply(X_582,Y_583),Z_584) = multiply(X_582,multiply(Y_583,Z_584)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_187876,plain,
! [Z_584] : ( multiply(sk_c8,multiply(sk_c1,Z_584)) = multiply(identity,Z_584) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_187834]) ).
tff(c_187895,plain,
! [Z_585] : ( multiply(sk_c8,multiply(sk_c1,Z_585)) = Z_585 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187876]) ).
tff(c_187907,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_187803,c_187895]) ).
tff(c_187879,plain,
! [X_2,Z_584] : ( multiply(inverse(X_2),multiply(X_2,Z_584)) = multiply(identity,Z_584) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_187834]) ).
tff(c_187952,plain,
! [X_588,Z_589] : ( multiply(inverse(X_588),multiply(X_588,Z_589)) = Z_589 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187879]) ).
tff(c_187976,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_187907,c_187952]) ).
tff(c_188034,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_187976]) ).
tff(c_187858,plain,
! [Z_584] : ( multiply(sk_c1,multiply(sk_c8,Z_584)) = multiply(sk_c7,Z_584) ),
inference(superposition,[status(thm),theory(equality)],[c_187803,c_187834]) ).
tff(c_188314,plain,
! [Z_593] : ( multiply(sk_c1,multiply(sk_c8,Z_593)) = Z_593 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188034,c_187858]) ).
tff(c_188350,plain,
multiply(sk_c1,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_187753,c_188314]) ).
tff(c_62,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_187769,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_187509,c_62]) ).
tff(c_187773,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_187769,c_4]) ).
tff(c_188347,plain,
multiply(sk_c1,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_187773,c_188314]) ).
tff(c_188533,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188350,c_188347]) ).
tff(c_187742,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_187808,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_187742,c_16]) ).
tff(c_187991,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_187808,c_187952]) ).
tff(c_188036,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_187769,c_187991]) ).
tff(c_188054,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188034,c_188036]) ).
tff(c_188338,plain,
multiply(sk_c1,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_188054,c_188314]) ).
tff(c_188377,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_188347,c_188338]) ).
tff(c_187508,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_187746,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_187508,c_4]) ).
tff(c_18,plain,
( ( multiply(sk_c4,sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_187790,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_187742,c_18]) ).
tff(c_187864,plain,
! [Z_584] : ( multiply(sk_c4,multiply(sk_c5,Z_584)) = multiply(sk_c7,Z_584) ),
inference(superposition,[status(thm),theory(equality)],[c_187790,c_187834]) ).
tff(c_188167,plain,
! [Z_591] : ( multiply(sk_c4,multiply(sk_c5,Z_591)) = Z_591 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188034,c_187864]) ).
tff(c_188194,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_187746,c_188167]) ).
tff(c_70,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_187795,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_187509,c_70]) ).
tff(c_188047,plain,
multiply(sk_c5,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188034,c_187795]) ).
tff(c_188185,plain,
multiply(sk_c4,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_188047,c_188167]) ).
tff(c_188291,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_188194,c_188185]) ).
tff(c_187911,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_187907,c_187742]) ).
tff(c_188295,plain,
sk_c8 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_188291,c_187911]) ).
tff(c_188397,plain,
sk_c4 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_188377,c_188295]) ).
tff(c_188555,plain,
sk_c4 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188533,c_188397]) ).
tff(c_188045,plain,
multiply(sk_c3,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_188034,c_187808]) ).
tff(c_188401,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_188377,c_188045]) ).
tff(c_188606,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188533,c_188533,c_188401]) ).
tff(c_188406,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_188377,c_187769]) ).
tff(c_188554,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188533,c_188533,c_188406]) ).
tff(c_188048,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188034,c_187790]) ).
tff(c_188556,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188533,c_188377]) ).
tff(c_187817,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_187742,c_12]) ).
tff(c_187852,plain,
! [Z_584] : ( multiply(sk_c8,multiply(sk_c6,Z_584)) = multiply(sk_c7,Z_584) ),
inference(superposition,[status(thm),theory(equality)],[c_187817,c_187834]) ).
tff(c_188633,plain,
! [Z_595] : ( multiply(sk_c2,multiply(sk_c4,Z_595)) = Z_595 ),
inference(demodulation,[status(thm),theory(equality)],[c_188556,c_188291,c_2,c_188034,c_187852]) ).
tff(c_188654,plain,
multiply(sk_c2,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_188048,c_188633]) ).
tff(c_188659,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188606,c_188654]) ).
tff(c_188665,plain,
inverse(sk_c4) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188659,c_187508]) ).
tff(c_188027,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_187952]) ).
tff(c_188675,plain,
multiply(inverse(sk_c2),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_188665,c_188027]) ).
tff(c_188684,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_188606,c_188554,c_188675]) ).
tff(c_188686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188555,c_188684]) ).
tff(c_188688,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_188978,plain,
multiply(sk_c1,sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_188964,c_188688]) ).
tff(c_188734,plain,
! [Z_598] : ( multiply(sk_c2,multiply(sk_c8,Z_598)) = multiply(sk_c7,Z_598) ),
inference(superposition,[status(thm),theory(equality)],[c_188706,c_188719]) ).
tff(c_189150,plain,
! [Z_608] : ( multiply(sk_c2,multiply(sk_c8,Z_608)) = Z_608 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188964,c_188734]) ).
tff(c_189192,plain,
multiply(sk_c2,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_93,c_189150]) ).
tff(c_189189,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_187753,c_189150]) ).
tff(c_189276,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_189192,c_189189]) ).
tff(c_188977,plain,
multiply(sk_c2,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188964,c_188706]) ).
tff(c_189278,plain,
multiply(sk_c1,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_189276,c_188977]) ).
tff(c_189284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188978,c_189278]) ).
tff(c_189286,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_42,plain,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_189298,plain,
inverse(sk_c2) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_189286,c_42]) ).
tff(c_189302,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_189298,c_4]) ).
tff(c_40,plain,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_189327,plain,
multiply(sk_c2,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_189286,c_40]) ).
tff(c_189371,plain,
! [X_610,Y_611,Z_612] : ( multiply(multiply(X_610,Y_611),Z_612) = multiply(X_610,multiply(Y_611,Z_612)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_189404,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c2,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_189302,c_189371]) ).
tff(c_189449,plain,
! [Z_614] : ( multiply(sk_c8,multiply(sk_c2,Z_614)) = Z_614 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189404]) ).
tff(c_189461,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_189327,c_189449]) ).
tff(c_189410,plain,
! [X_2,Z_612] : ( multiply(inverse(X_2),multiply(X_2,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_189371]) ).
tff(c_189473,plain,
! [X_615,Z_616] : ( multiply(inverse(X_615),multiply(X_615,Z_616)) = Z_616 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189410]) ).
tff(c_189491,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_189461,c_189473]) ).
tff(c_189546,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_189491]) ).
tff(c_189395,plain,
! [Z_612] : ( multiply(sk_c2,multiply(sk_c8,Z_612)) = multiply(sk_c7,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_189327,c_189371]) ).
tff(c_189667,plain,
! [Z_618] : ( multiply(sk_c2,multiply(sk_c8,Z_618)) = Z_618 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189546,c_189395]) ).
tff(c_189697,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_189302,c_189667]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_189322,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_189286,c_44]) ).
tff(c_189559,plain,
multiply(sk_c8,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_189546,c_189322]) ).
tff(c_189685,plain,
multiply(sk_c2,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_189559,c_189667]) ).
tff(c_189785,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_189697,c_189685]) ).
tff(c_189424,plain,
! [X4_10,X3_7,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189322,c_72]) ).
tff(c_189425,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_189424]) ).
tff(c_189465,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_189461,c_189425]) ).
tff(c_189788,plain,
sk_c8 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_189785,c_189465]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_189310,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_189286,c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_189340,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_189286,c_48]) ).
tff(c_189512,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_189340,c_189473]) ).
tff(c_189549,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_189310,c_189512]) ).
tff(c_189601,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_189546,c_189549]) ).
tff(c_189688,plain,
multiply(sk_c2,identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_189601,c_189667]) ).
tff(c_189794,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_189697,c_189688]) ).
tff(c_189795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189788,c_189794]) ).
tff(c_189797,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_189424]) ).
tff(c_189828,plain,
! [Z_621] : ( multiply(sk_c8,multiply(sk_c2,Z_621)) = Z_621 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189404]) ).
tff(c_189840,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_189327,c_189828]) ).
tff(c_189844,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_189797,c_189840]) ).
tff(c_189868,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189302]) ).
tff(c_189285,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_189350,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_189286,c_50]) ).
tff(c_189948,plain,
! [X_623,Z_624] : ( multiply(inverse(X_623),multiply(X_623,Z_624)) = Z_624 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189410]) ).
tff(c_189981,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_189350,c_189948]) ).
tff(c_190002,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_189285,c_189981]) ).
tff(c_189421,plain,
! [X_2,Z_612] : ( multiply(inverse(X_2),multiply(X_2,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189410]) ).
tff(c_190006,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_190002,c_189421]) ).
tff(c_190012,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_190006]) ).
tff(c_189398,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c6,Z_612)) = multiply(sk_c7,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_189322,c_189371]) ).
tff(c_190073,plain,
! [Z_625] : ( multiply(sk_c6,multiply(sk_c6,Z_625)) = Z_625 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_190012,c_189844,c_189398]) ).
tff(c_190094,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_189868,c_190073]) ).
tff(c_189862,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189797]) ).
tff(c_190106,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_190012,c_189862]) ).
tff(c_190172,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_190094,c_190106]) ).
tff(c_189869,plain,
inverse(sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189298]) ).
tff(c_190197,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_190172,c_189869]) ).
tff(c_189867,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189310]) ).
tff(c_189863,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189340]) ).
tff(c_189966,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_189863,c_189948]) ).
tff(c_190000,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_189867,c_189966]) ).
tff(c_190272,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_190172,c_190172,c_190012,c_190000]) ).
tff(c_190492,plain,
! [X_631,Z_632] : ( multiply(inverse(inverse(X_631)),Z_632) = multiply(X_631,Z_632) ),
inference(superposition,[status(thm),theory(equality)],[c_189421,c_189948]) ).
tff(c_189993,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_189948]) ).
tff(c_190536,plain,
! [X_633] : ( multiply(X_633,identity) = X_633 ),
inference(superposition,[status(thm),theory(equality)],[c_190492,c_189993]) ).
tff(c_189996,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_189948]) ).
tff(c_190550,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_190536,c_189996]) ).
tff(c_190530,plain,
! [X_631] : ( multiply(X_631,inverse(X_631)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_190492]) ).
tff(c_190499,plain,
! [X_631] : ( multiply(X_631,identity) = X_631 ),
inference(superposition,[status(thm),theory(equality)],[c_190492,c_189993]) ).
tff(c_190199,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_190172,c_189844]) ).
tff(c_190286,plain,
! [Z_612] : ( multiply(sk_c2,multiply(sk_c2,Z_612)) = Z_612 ),
inference(demodulation,[status(thm),theory(equality)],[c_190199,c_2,c_190012,c_189395]) ).
tff(c_190731,plain,
! [X_636,Y_637,Z_638] : ( multiply(inverse(multiply(X_636,Y_637)),multiply(X_636,multiply(Y_637,Z_638))) = Z_638 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_189948]) ).
tff(c_190767,plain,
! [X_636,X_631] : ( multiply(inverse(multiply(X_636,X_631)),multiply(X_636,identity)) = inverse(X_631) ),
inference(superposition,[status(thm),theory(equality)],[c_190530,c_190731]) ).
tff(c_191509,plain,
! [X_650,X_651] : ( multiply(inverse(multiply(X_650,X_651)),X_650) = inverse(X_651) ),
inference(demodulation,[status(thm),theory(equality)],[c_190499,c_190767]) ).
tff(c_191614,plain,
! [Z_612] : ( multiply(inverse(Z_612),sk_c2) = inverse(multiply(sk_c2,Z_612)) ),
inference(superposition,[status(thm),theory(equality)],[c_190286,c_191509]) ).
tff(c_189314,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_189310,c_4]) ).
tff(c_189401,plain,
! [Z_612] : ( multiply(sk_c8,multiply(sk_c3,Z_612)) = multiply(identity,Z_612) ),
inference(superposition,[status(thm),theory(equality)],[c_189314,c_189371]) ).
tff(c_189805,plain,
! [Z_620] : ( multiply(sk_c8,multiply(sk_c3,Z_620)) = Z_620 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189401]) ).
tff(c_189817,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_189340,c_189805]) ).
tff(c_189860,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189844,c_189817]) ).
tff(c_189796,plain,
! [X2_9,X1_8,X3_7,X4_10] :
( ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(X2_9,sk_c8) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_189424]) ).
tff(c_189896,plain,
! [X2_9,X1_8,X3_7,X4_10] :
( ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189844,c_189844,c_189844,c_189844,c_189844,c_189844,c_189844,c_189796]) ).
tff(c_189897,plain,
multiply(sk_c6,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_189896]) ).
tff(c_189938,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189860,c_189897]) ).
tff(c_189939,plain,
! [X4_10,X3_7,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c7 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_189896]) ).
tff(c_198247,plain,
! [X4_10,X3_7,X1_8,X2_9] :
( ( inverse(multiply(sk_c2,X4_10)) != identity )
| ( sk_c2 != X3_7 )
| ( inverse(X3_7) != sk_c2 )
| ( inverse(X1_8) != sk_c2 )
| ( multiply(X1_8,sk_c2) != identity )
| ( inverse(X2_9) != sk_c2 )
| ( multiply(X2_9,sk_c2) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190172,c_190012,c_190172,c_190172,c_190012,c_190172,c_190172,c_190499,c_190172,c_190012,c_190530,c_190012,c_191614,c_190172,c_190012,c_189939]) ).
tff(c_198249,plain,
! [X2_711] :
( ( inverse(X2_711) != sk_c2 )
| ( multiply(X2_711,sk_c2) != identity ) ),
inference(splitLeft,[status(thm)],[c_198247]) ).
tff(c_198277,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_190272,c_198249]) ).
tff(c_198298,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190197,c_198277]) ).
tff(c_198299,plain,
! [X1_8,X3_7,X4_10] :
( ( inverse(X1_8) != sk_c2 )
| ( multiply(X1_8,sk_c2) != identity )
| ( sk_c2 != X3_7 )
| ( inverse(X3_7) != sk_c2 )
| ( inverse(multiply(sk_c2,X4_10)) != identity ) ),
inference(splitRight,[status(thm)],[c_198247]) ).
tff(c_291785,plain,
! [X4_997] : ( inverse(multiply(sk_c2,X4_997)) != identity ),
inference(splitLeft,[status(thm)],[c_198299]) ).
tff(c_291834,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_190530,c_291785]) ).
tff(c_291857,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190550,c_291834]) ).
tff(c_291858,plain,
! [X1_8,X3_7] :
( ( inverse(X1_8) != sk_c2 )
| ( multiply(X1_8,sk_c2) != identity )
| ( sk_c2 != X3_7 )
| ( inverse(X3_7) != sk_c2 ) ),
inference(splitRight,[status(thm)],[c_198299]) ).
tff(c_291860,plain,
inverse(sk_c2) != sk_c2,
inference(splitLeft,[status(thm)],[c_291858]) ).
tff(c_291862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291860,c_190197]) ).
tff(c_291865,plain,
! [X1_998] :
( ( inverse(X1_998) != sk_c2 )
| ( multiply(X1_998,sk_c2) != identity ) ),
inference(splitRight,[status(thm)],[c_291858]) ).
tff(c_291935,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_190272,c_291865]) ).
tff(c_291965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190197,c_291935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n022.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:16:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 58.08/45.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.08/45.48
% 58.08/45.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 58.39/45.54
% 58.39/45.54 Inference rules
% 58.39/45.54 ----------------------
% 58.39/45.54 #Ref : 0
% 58.39/45.54 #Sup : 69036
% 58.39/45.54 #Fact : 0
% 58.39/45.54 #Define : 0
% 58.39/45.54 #Split : 19
% 58.39/45.54 #Chain : 0
% 58.39/45.54 #Close : 0
% 58.39/45.54
% 58.39/45.54 Ordering : KBO
% 58.39/45.54
% 58.39/45.54 Simplification rules
% 58.39/45.54 ----------------------
% 58.39/45.54 #Subsume : 9
% 58.39/45.54 #Demod : 310209
% 58.39/45.54 #Tautology : 58192
% 58.39/45.54 #SimpNegUnit : 74
% 58.39/45.54 #BackRed : 296
% 58.39/45.54
% 58.39/45.54 #Partial instantiations: 0
% 58.39/45.54 #Strategies tried : 1
% 58.39/45.54
% 58.39/45.54 Timing (in seconds)
% 58.39/45.54 ----------------------
% 58.39/45.55 Preprocessing : 0.48
% 58.39/45.55 Parsing : 0.19
% 58.39/45.55 CNF conversion : 0.02
% 58.39/45.55 Main loop : 43.96
% 58.39/45.55 Inferencing : 5.62
% 58.39/45.55 Reduction : 34.21
% 58.39/45.55 Demodulation : 33.30
% 58.39/45.55 BG Simplification : 0.35
% 58.39/45.55 Subsumption : 2.73
% 58.39/45.55 Abstraction : 1.57
% 58.39/45.55 MUC search : 0.00
% 58.39/45.55 Cooper : 0.00
% 58.39/45.55 Total : 44.56
% 58.39/45.55 Index Insertion : 0.00
% 58.39/45.55 Index Deletion : 0.00
% 58.39/45.55 Index Matching : 0.00
% 58.39/45.55 BG Taut test : 0.00
%------------------------------------------------------------------------------