TSTP Solution File: GRP315-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP315-1 : 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 : n021.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 10:40:53 EDT 2023
% Result : Unsatisfiable 12.03s 4.37s
% Output : CNFRefutation 12.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 483 ( 392 unt; 10 typ; 0 def)
% Number of atoms : 608 ( 572 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 345 ( 210 ~; 135 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 178 (; 178 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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(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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
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_63,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file(unknown,unknown) ).
tff(f_138,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X4,sk_c6) != sk_c5 )
| ( inverse(X4) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( multiply(X2,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_28677,plain,
! [X_311,Y_312,Z_313] : ( multiply(multiply(X_311,Y_312),Z_313) = multiply(X_311,multiply(Y_312,Z_313)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28707,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28677]) ).
tff(c_29316,plain,
! [X_327,Z_328] : ( multiply(inverse(X_327),multiply(X_327,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28707]) ).
tff(c_29379,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_29316]) ).
tff(c_8,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_42,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_44,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_42]) ).
tff(c_26212,plain,
! [X3_263] :
( ( inverse(X3_263) != sk_c7 )
| ( multiply(X3_263,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_26226,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26212]) ).
tff(c_26237,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_26226]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_91,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_77,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_111,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_132,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_111]) ).
tff(c_153,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132]) ).
tff(c_165,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_91,c_153]) ).
tff(c_138,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_111]) ).
tff(c_237,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138]) ).
tff(c_270,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_165,c_237]) ).
tff(c_309,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_270]) ).
tff(c_151,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_138]) ).
tff(c_950,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_151]) ).
tff(c_297,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_957,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_950,c_297]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_96,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_65,plain,
inverse(sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_69,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_135,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_111]) ).
tff(c_176,plain,
! [Z_16] : ( multiply(sk_c6,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135]) ).
tff(c_188,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_96,c_176]) ).
tff(c_261,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_188,c_237]) ).
tff(c_308,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_261]) ).
tff(c_319,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_308,c_8]) ).
tff(c_807,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_309,c_319]) ).
tff(c_495,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_237]) ).
tff(c_502,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_495,c_297]) ).
tff(c_348,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_309,c_319]) ).
tff(c_326,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,identity) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != identity )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_308,c_308,c_44]) ).
tff(c_327,plain,
! [X3_6] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_326]) ).
tff(c_765,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_502,c_348,c_309,c_348,c_327]) ).
tff(c_192,plain,
! [Z_17] : ( multiply(sk_c6,multiply(sk_c7,Z_17)) = multiply(sk_c5,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_111]) ).
tff(c_210,plain,
multiply(sk_c6,identity) = multiply(sk_c5,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_77,c_192]) ).
tff(c_314,plain,
multiply(sk_c6,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_308,c_210]) ).
tff(c_320,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_314]) ).
tff(c_413,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_309,c_320]) ).
tff(c_351,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_348,c_73]) ).
tff(c_415,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_413,c_351]) ).
tff(c_767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_765,c_415]) ).
tff(c_768,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != identity )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,identity) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_326]) ).
tff(c_22045,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_309,c_957,c_309,c_807,c_957,c_807,c_309,c_957,c_309,c_309,c_768]) ).
tff(c_22047,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22045]) ).
tff(c_773,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_309,c_65]) ).
tff(c_785,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_773,c_4]) ).
tff(c_829,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_785,c_151]) ).
tff(c_841,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_829]) ).
tff(c_846,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_841,c_773]) ).
tff(c_22049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22047,c_846]) ).
tff(c_22050,plain,
! [X1_8,X4_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 ) ),
inference(splitRight,[status(thm)],[c_22045]) ).
tff(c_22052,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22050]) ).
tff(c_22054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22052,c_846]) ).
tff(c_22996,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_22050]) ).
tff(c_22998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22996,c_846]) ).
tff(c_23000,plain,
multiply(sk_c2,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_23036,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_23000,c_32]) ).
tff(c_22999,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_23004,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22999,c_4]) ).
tff(c_23041,plain,
! [X_196,Y_197,Z_198] : ( multiply(multiply(X_196,Y_197),Z_198) = multiply(X_196,multiply(Y_197,Z_198)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23065,plain,
! [Z_198] : ( multiply(sk_c6,multiply(sk_c4,Z_198)) = multiply(identity,Z_198) ),
inference(superposition,[status(thm),theory(equality)],[c_23004,c_23041]) ).
tff(c_23901,plain,
! [Z_214] : ( multiply(sk_c6,multiply(sk_c4,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23065]) ).
tff(c_23913,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_23036,c_23901]) ).
tff(c_23071,plain,
! [Z_198] : ( multiply(sk_c7,multiply(sk_c1,Z_198)) = multiply(identity,Z_198) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_23041]) ).
tff(c_23094,plain,
! [Z_199] : ( multiply(sk_c7,multiply(sk_c1,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23071]) ).
tff(c_23106,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_91,c_23094]) ).
tff(c_23924,plain,
! [Z_215] : ( multiply(sk_c1,multiply(sk_c7,Z_215)) = multiply(sk_c6,Z_215) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_23041]) ).
tff(c_23945,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_23106,c_23924]) ).
tff(c_23959,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23913,c_91,c_23945]) ).
tff(c_23130,plain,
! [Z_201] : ( multiply(sk_c6,multiply(sk_c7,Z_201)) = multiply(sk_c5,Z_201) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_23041]) ).
tff(c_23142,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_23106,c_23130]) ).
tff(c_23155,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_23142]) ).
tff(c_23965,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23959,c_23155]) ).
tff(c_23077,plain,
! [X_2,Z_198] : ( multiply(inverse(X_2),multiply(X_2,Z_198)) = multiply(identity,Z_198) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23041]) ).
tff(c_24068,plain,
! [X_216,Z_217] : ( multiply(inverse(X_216),multiply(X_216,Z_217)) = Z_217 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23077]) ).
tff(c_24104,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_23965,c_24068]) ).
tff(c_24151,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24104]) ).
tff(c_23976,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23959,c_65]) ).
tff(c_23992,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23976,c_4]) ).
tff(c_24196,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24151,c_23992]) ).
tff(c_23972,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23959,c_23000]) ).
tff(c_24186,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24151,c_24151,c_23972]) ).
tff(c_24309,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24196,c_24186]) ).
tff(c_24311,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_26027,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24311,c_16]) ).
tff(c_24310,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_24315,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24310,c_4]) ).
tff(c_26036,plain,
! [X_255,Y_256,Z_257] : ( multiply(multiply(X_255,Y_256),Z_257) = multiply(X_255,multiply(Y_256,Z_257)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26060,plain,
! [Z_257] : ( multiply(sk_c6,multiply(sk_c4,Z_257)) = multiply(identity,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_24315,c_26036]) ).
tff(c_26112,plain,
! [Z_260] : ( multiply(sk_c6,multiply(sk_c4,Z_260)) = Z_260 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26060]) ).
tff(c_26124,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26027,c_26112]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_24332,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24311,c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_24351,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24311,c_12]) ).
tff(c_26,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_24327,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_24345,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24311,c_16]) ).
tff(c_24357,plain,
! [X_219,Y_220,Z_221] : ( multiply(multiply(X_219,Y_220),Z_221) = multiply(X_219,multiply(Y_220,Z_221)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24384,plain,
! [Z_221] : ( multiply(sk_c6,multiply(sk_c4,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_24315,c_24357]) ).
tff(c_24486,plain,
! [Z_225] : ( multiply(sk_c6,multiply(sk_c4,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24384]) ).
tff(c_24498,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_24345,c_24486]) ).
tff(c_24528,plain,
! [X3_227] :
( ( inverse(X3_227) != sk_c7 )
| ( multiply(X3_227,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_24536,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24528]) ).
tff(c_24571,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_24536]) ).
tff(c_24336,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24332,c_4]) ).
tff(c_24378,plain,
! [Z_221] : ( multiply(sk_c7,multiply(sk_c3,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_24336,c_24357]) ).
tff(c_24509,plain,
! [Z_226] : ( multiply(sk_c7,multiply(sk_c3,Z_226)) = Z_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24378]) ).
tff(c_24524,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24351,c_24509]) ).
tff(c_24399,plain,
! [Z_221] : ( multiply(sk_c6,multiply(sk_c7,Z_221)) = multiply(sk_c5,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_24357]) ).
tff(c_24550,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_24524,c_24399]) ).
tff(c_24557,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24498,c_24550]) ).
tff(c_24393,plain,
! [X_2,Z_221] : ( multiply(inverse(X_2),multiply(X_2,Z_221)) = multiply(identity,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24357]) ).
tff(c_24572,plain,
! [X_228,Z_229] : ( multiply(inverse(X_228),multiply(X_228,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24393]) ).
tff(c_24590,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24557,c_24572]) ).
tff(c_24669,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24590]) ).
tff(c_24723,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24669,c_24669,c_24524]) ).
tff(c_24729,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24723]) ).
tff(c_24731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24571,c_24729]) ).
tff(c_24733,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_24536]) ).
tff(c_24543,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_24528]) ).
tff(c_24570,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_24543]) ).
tff(c_24734,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24733,c_24570]) ).
tff(c_24738,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24733,c_24733,c_24498]) ).
tff(c_24753,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24738]) ).
tff(c_24759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24734,c_24753]) ).
tff(c_24761,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_24543]) ).
tff(c_24849,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24761,c_24536]) ).
tff(c_24850,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_24849]) ).
tff(c_24765,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24761,c_24761,c_24498]) ).
tff(c_24862,plain,
! [X_230,Z_231] : ( multiply(inverse(X_230),multiply(X_230,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24393]) ).
tff(c_24880,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_24765,c_24862]) ).
tff(c_24941,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24880]) ).
tff(c_24943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24850,c_24941]) ).
tff(c_24945,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_24849]) ).
tff(c_24540,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_24528]) ).
tff(c_24569,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_24540]) ).
tff(c_24762,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24761,c_24569]) ).
tff(c_24956,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24945,c_24762]) ).
tff(c_24958,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24945,c_24945,c_24557]) ).
tff(c_24408,plain,
! [X_2,Z_221] : ( multiply(inverse(X_2),multiply(X_2,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24393]) ).
tff(c_25215,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24958,c_24408]) ).
tff(c_25229,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25215]) ).
tff(c_25231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24956,c_25229]) ).
tff(c_25233,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_24540]) ).
tff(c_25236,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25233,c_25233,c_24524]) ).
tff(c_25248,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24498,c_25236]) ).
tff(c_25254,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25248,c_25233]) ).
tff(c_25377,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25248,c_25254,c_25254,c_24536]) ).
tff(c_25378,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_25377]) ).
tff(c_25255,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25248,c_25248,c_24498]) ).
tff(c_25442,plain,
! [X_239,Z_240] : ( multiply(inverse(X_239),multiply(X_239,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24393]) ).
tff(c_25466,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_25255,c_25442]) ).
tff(c_25507,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25466]) ).
tff(c_25509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25378,c_25507]) ).
tff(c_25511,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_25377]) ).
tff(c_25243,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25233,c_24332]) ).
tff(c_25274,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25248,c_25243]) ).
tff(c_25278,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25274,c_4]) ).
tff(c_25542,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25511,c_25278]) ).
tff(c_25526,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25511,c_25274]) ).
tff(c_25554,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25542,c_25526]) ).
tff(c_25232,plain,
inverse(identity) != sk_c7,
inference(splitRight,[status(thm)],[c_24540]) ).
tff(c_25290,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25254,c_25232]) ).
tff(c_25524,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25511,c_25290]) ).
tff(c_25578,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25554,c_25524]) ).
tff(c_25579,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_25698,plain,
! [X2_246] :
( ( multiply(X2_246,sk_c5) != sk_c6 )
| ( inverse(X2_246) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_25579]) ).
tff(c_25708,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24345,c_25698]) ).
tff(c_25721,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24310,c_25708]) ).
tff(c_25722,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_25579]) ).
tff(c_25859,plain,
! [X4_252] :
( ( inverse(X4_252) != sk_c6 )
| ( multiply(X4_252,sk_c6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_25722]) ).
tff(c_25872,plain,
inverse(sk_c2) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_24327,c_25859]) ).
tff(c_25886,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_65,c_25872]) ).
tff(c_25980,plain,
! [X1_254] :
( ( multiply(X1_254,sk_c6) != sk_c7 )
| ( inverse(X1_254) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_25722]) ).
tff(c_25990,plain,
inverse(sk_c3) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24351,c_25980]) ).
tff(c_26005,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24332,c_25990]) ).
tff(c_26007,plain,
multiply(sk_c2,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_26022,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26007,c_28]) ).
tff(c_26006,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_26011,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26006,c_4]) ).
tff(c_26057,plain,
! [Z_257] : ( multiply(sk_c7,multiply(sk_c3,Z_257)) = multiply(identity,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_26011,c_26036]) ).
tff(c_26174,plain,
! [Z_262] : ( multiply(sk_c7,multiply(sk_c3,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26057]) ).
tff(c_26189,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26022,c_26174]) ).
tff(c_26075,plain,
! [Z_257] : ( multiply(sk_c6,multiply(sk_c7,Z_257)) = multiply(sk_c5,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_26036]) ).
tff(c_26196,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_26189,c_26075]) ).
tff(c_26202,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26124,c_26196]) ).
tff(c_26069,plain,
! [X_2,Z_257] : ( multiply(inverse(X_2),multiply(X_2,Z_257)) = multiply(identity,Z_257) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26036]) ).
tff(c_26238,plain,
! [X_264,Z_265] : ( multiply(inverse(X_264),multiply(X_264,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26069]) ).
tff(c_26256,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26202,c_26238]) ).
tff(c_26329,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26256]) ).
tff(c_26353,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_26329,c_26329,c_26189]) ).
tff(c_26360,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26353]) ).
tff(c_26362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26237,c_26360]) ).
tff(c_26364,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_26226]) ).
tff(c_26233,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_26212]) ).
tff(c_26235,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_26233]) ).
tff(c_26408,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26364,c_26235]) ).
tff(c_26412,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26364,c_26364,c_26124]) ).
tff(c_26427,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26412]) ).
tff(c_26432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26408,c_26427]) ).
tff(c_26434,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_26233]) ).
tff(c_26515,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26434,c_26226]) ).
tff(c_26516,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_26515]) ).
tff(c_26438,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26434,c_26434,c_26124]) ).
tff(c_26540,plain,
! [X_268,Z_269] : ( multiply(inverse(X_268),multiply(X_268,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26069]) ).
tff(c_26561,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26438,c_26540]) ).
tff(c_26619,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26561]) ).
tff(c_26621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26516,c_26619]) ).
tff(c_26623,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_26515]) ).
tff(c_26448,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26434,c_69]) ).
tff(c_26629,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_26623,c_26448]) ).
tff(c_26703,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_26629,c_2]) ).
tff(c_26444,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26434,c_26007]) ).
tff(c_26627,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_26623,c_26623,c_26444]) ).
tff(c_26731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26703,c_26627]) ).
tff(c_26733,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_18,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_26750,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26733,c_18]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_26773,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26733,c_20]) ).
tff(c_26732,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_26768,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26733,c_24]) ).
tff(c_26737,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26732,c_4]) ).
tff(c_26782,plain,
! [X_271,Y_272,Z_273] : ( multiply(multiply(X_271,Y_272),Z_273) = multiply(X_271,multiply(Y_272,Z_273)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26806,plain,
! [Z_273] : ( multiply(sk_c6,multiply(sk_c4,Z_273)) = multiply(identity,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_26737,c_26782]) ).
tff(c_26852,plain,
! [Z_275] : ( multiply(sk_c6,multiply(sk_c4,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26806]) ).
tff(c_26864,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26768,c_26852]) ).
tff(c_26926,plain,
! [X3_278] :
( ( inverse(X3_278) != sk_c7 )
| ( multiply(X3_278,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_26940,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26926]) ).
tff(c_26951,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_26940]) ).
tff(c_26754,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26750,c_4]) ).
tff(c_26803,plain,
! [Z_273] : ( multiply(sk_c7,multiply(sk_c3,Z_273)) = multiply(identity,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_26754,c_26782]) ).
tff(c_26828,plain,
! [Z_274] : ( multiply(sk_c7,multiply(sk_c3,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26803]) ).
tff(c_26840,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26773,c_26828]) ).
tff(c_26888,plain,
! [Z_277] : ( multiply(sk_c6,multiply(sk_c7,Z_277)) = multiply(sk_c5,Z_277) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_26782]) ).
tff(c_26900,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_26840,c_26888]) ).
tff(c_26910,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26864,c_26900]) ).
tff(c_26812,plain,
! [X_2,Z_273] : ( multiply(inverse(X_2),multiply(X_2,Z_273)) = multiply(identity,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26782]) ).
tff(c_26952,plain,
! [X_279,Z_280] : ( multiply(inverse(X_279),multiply(X_279,Z_280)) = Z_280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26812]) ).
tff(c_26973,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26910,c_26952]) ).
tff(c_27031,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26973]) ).
tff(c_27042,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27031,c_27031,c_26840]) ).
tff(c_27050,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27042]) ).
tff(c_27052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26951,c_27050]) ).
tff(c_27054,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_26940]) ).
tff(c_26947,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_26926]) ).
tff(c_26950,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_26947]) ).
tff(c_27055,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27054,c_26950]) ).
tff(c_27061,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27054,c_27054,c_26864]) ).
tff(c_27072,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27061]) ).
tff(c_27077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27055,c_27072]) ).
tff(c_27079,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_26947]) ).
tff(c_27100,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27079,c_26940]) ).
tff(c_27101,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_27100]) ).
tff(c_27085,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27079,c_27079,c_26864]) ).
tff(c_27177,plain,
! [X_281,Z_282] : ( multiply(inverse(X_281),multiply(X_281,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26812]) ).
tff(c_27198,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27085,c_27177]) ).
tff(c_27245,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27198]) ).
tff(c_27247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27101,c_27245]) ).
tff(c_27249,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_27100]) ).
tff(c_26944,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26926]) ).
tff(c_26949,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_26944]) ).
tff(c_27080,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27079,c_26949]) ).
tff(c_27250,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27249,c_27080]) ).
tff(c_27252,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27249,c_27249,c_26910]) ).
tff(c_27348,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27252,c_2]) ).
tff(c_27356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27250,c_27348]) ).
tff(c_27358,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_26944]) ).
tff(c_27363,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27358,c_27358,c_26840]) ).
tff(c_27370,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26864,c_27363]) ).
tff(c_27376,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27370,c_27358]) ).
tff(c_27357,plain,
inverse(identity) != sk_c7,
inference(splitRight,[status(thm)],[c_26944]) ).
tff(c_27411,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27376,c_27357]) ).
tff(c_26823,plain,
! [Z_273] : ( multiply(sk_c7,multiply(sk_c3,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26803]) ).
tff(c_27364,plain,
! [Z_273] : ( multiply(sk_c6,multiply(sk_c3,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_27358,c_26823]) ).
tff(c_27475,plain,
! [Z_273] : ( multiply(sk_c5,multiply(sk_c3,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_27370,c_27364]) ).
tff(c_26797,plain,
! [Z_273] : ( multiply(sk_c3,multiply(sk_c6,Z_273)) = multiply(sk_c7,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_26773,c_26782]) ).
tff(c_27494,plain,
! [Z_285] : ( multiply(sk_c3,multiply(sk_c5,Z_285)) = multiply(sk_c5,Z_285) ),
inference(demodulation,[status(thm),theory(equality)],[c_27376,c_27370,c_26797]) ).
tff(c_27509,plain,
! [Z_273] : ( multiply(sk_c5,multiply(sk_c3,Z_273)) = multiply(sk_c3,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_27475,c_27494]) ).
tff(c_27525,plain,
! [Z_273] : ( multiply(sk_c3,Z_273) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_27475,c_27509]) ).
tff(c_27549,plain,
! [Z_287] : ( multiply(sk_c5,Z_287) = Z_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_27525,c_27475]) ).
tff(c_27382,plain,
multiply(sk_c5,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27370,c_26737]) ).
tff(c_27555,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27549,c_27382]) ).
tff(c_27384,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27370,c_26732]) ).
tff(c_27582,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27555,c_27384]) ).
tff(c_27586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27411,c_27582]) ).
tff(c_27587,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_27663,plain,
! [X2_291] :
( ( multiply(X2_291,sk_c5) != sk_c6 )
| ( inverse(X2_291) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_27587]) ).
tff(c_27670,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26768,c_27663]) ).
tff(c_27682,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26732,c_27670]) ).
tff(c_27683,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_27587]) ).
tff(c_27721,plain,
! [X4_294] :
( ( inverse(X4_294) != sk_c6 )
| ( multiply(X4_294,sk_c6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_27683]) ).
tff(c_27739,plain,
( ( inverse(identity) != sk_c6 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_27721]) ).
tff(c_27742,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_27739]) ).
tff(c_27735,plain,
( ( inverse(inverse(sk_c6)) != sk_c6 )
| ( sk_c5 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27721]) ).
tff(c_27744,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_27735]) ).
tff(c_27684,plain,
! [Z_292] : ( multiply(sk_c6,multiply(sk_c4,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26806]) ).
tff(c_27696,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26768,c_27684]) ).
tff(c_27957,plain,
! [Z_299] : ( multiply(sk_c6,multiply(sk_c7,Z_299)) = multiply(sk_c5,Z_299) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_26782]) ).
tff(c_27972,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_26840,c_27957]) ).
tff(c_27982,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27696,c_27972]) ).
tff(c_26826,plain,
! [X_2,Z_273] : ( multiply(inverse(X_2),multiply(X_2,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26812]) ).
tff(c_27986,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27982,c_26826]) ).
tff(c_27992,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27986]) ).
tff(c_27999,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27992,c_27992,c_26840]) ).
tff(c_28008,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27999]) ).
tff(c_28005,plain,
multiply(sk_c6,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27992,c_8]) ).
tff(c_28028,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28008,c_28005]) ).
tff(c_28038,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28028]) ).
tff(c_28040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27744,c_28038]) ).
tff(c_28042,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_27735]) ).
tff(c_27731,plain,
( ( inverse(sk_c3) != sk_c6 )
| ( sk_c7 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_26773,c_27721]) ).
tff(c_27741,plain,
( ( sk_c7 != sk_c6 )
| ( sk_c7 != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26750,c_27731]) ).
tff(c_27743,plain,
sk_c7 != sk_c5,
inference(splitLeft,[status(thm)],[c_27741]) ).
tff(c_28043,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28042,c_27743]) ).
tff(c_28047,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28042,c_26768]) ).
tff(c_26824,plain,
! [Z_273] : ( multiply(sk_c6,multiply(sk_c4,Z_273)) = Z_273 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26806]) ).
tff(c_28056,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28047,c_26824]) ).
tff(c_26818,plain,
! [Z_273] : ( multiply(sk_c6,multiply(sk_c7,Z_273)) = multiply(sk_c5,Z_273) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_26782]) ).
tff(c_28082,plain,
! [Z_300] : ( multiply(sk_c6,multiply(sk_c7,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28042,c_26818]) ).
tff(c_28094,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26840,c_28082]) ).
tff(c_28104,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28056,c_28094]) ).
tff(c_28106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28043,c_28104]) ).
tff(c_28108,plain,
sk_c7 = sk_c5,
inference(splitRight,[status(thm)],[c_27741]) ).
tff(c_28109,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28108,c_28108,c_26840]) ).
tff(c_28298,plain,
! [Z_305] : ( multiply(sk_c6,multiply(sk_c5,Z_305)) = multiply(sk_c5,Z_305) ),
inference(demodulation,[status(thm),theory(equality)],[c_28108,c_26818]) ).
tff(c_28316,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_28109,c_28298]) ).
tff(c_28324,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28109,c_27696,c_28316]) ).
tff(c_28326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27742,c_28324]) ).
tff(c_28328,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_27739]) ).
tff(c_28420,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28328,c_28328,c_27735]) ).
tff(c_28421,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_28420]) ).
tff(c_28332,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28328,c_28328,c_27696]) ).
tff(c_28422,plain,
! [X_306,Z_307] : ( multiply(inverse(X_306),multiply(X_306,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26812]) ).
tff(c_28440,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28332,c_28422]) ).
tff(c_28486,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28440]) ).
tff(c_28488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28421,c_28486]) ).
tff(c_28490,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_28420]) ).
tff(c_28327,plain,
inverse(identity) != sk_c6,
inference(splitRight,[status(thm)],[c_27739]) ).
tff(c_28367,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28328,c_28327]) ).
tff(c_28499,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28490,c_28367]) ).
tff(c_28338,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28328,c_69]) ).
tff(c_28497,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28490,c_28338]) ).
tff(c_28569,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_28497,c_2]) ).
tff(c_28340,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28328,c_65]) ).
tff(c_28501,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28490,c_28340]) ).
tff(c_28578,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28569,c_28501]) ).
tff(c_28581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28499,c_28578]) ).
tff(c_28596,plain,
! [X1_310] :
( ( multiply(X1_310,sk_c6) != sk_c7 )
| ( inverse(X1_310) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_27683]) ).
tff(c_28606,plain,
inverse(sk_c3) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26773,c_28596]) ).
tff(c_28618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26750,c_28606]) ).
tff(c_28620,plain,
inverse(sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_28659,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28620,c_40]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_28644,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28620,c_38]) ).
tff(c_28648,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28644,c_4]) ).
tff(c_28698,plain,
! [Z_313] : ( multiply(sk_c6,multiply(sk_c4,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_28648,c_28677]) ).
tff(c_28723,plain,
! [Z_314] : ( multiply(sk_c6,multiply(sk_c4,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28698]) ).
tff(c_28735,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28659,c_28723]) ).
tff(c_29343,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28735,c_29316]) ).
tff(c_29382,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_29316]) ).
tff(c_29700,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29343,c_29382]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_28665,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_28620,c_36]) ).
tff(c_28619,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_28625,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28619,c_4]) ).
tff(c_28704,plain,
! [Z_313] : ( multiply(sk_c7,multiply(sk_c3,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_28625,c_28677]) ).
tff(c_28746,plain,
! [Z_315] : ( multiply(sk_c7,multiply(sk_c3,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28704]) ).
tff(c_28758,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28665,c_28746]) ).
tff(c_29337,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28758,c_29316]) ).
tff(c_29816,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29700,c_29700,c_29337]) ).
tff(c_29824,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29816]) ).
tff(c_29358,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_28648,c_29316]) ).
tff(c_29833,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29824,c_29358]) ).
tff(c_29840,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29379,c_29833]) ).
tff(c_29838,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29824,c_28644]) ).
tff(c_29879,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29840,c_29838]) ).
tff(c_29831,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29824,c_29700]) ).
tff(c_29712,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29700,c_29700,c_29337]) ).
tff(c_29720,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29712]) ).
tff(c_29729,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29720,c_29358]) ).
tff(c_29736,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29729]) ).
tff(c_29734,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29720,c_28644]) ).
tff(c_29775,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29736,c_29734]) ).
tff(c_29716,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29700,c_29700,c_28758]) ).
tff(c_29721,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28735,c_29716]) ).
tff(c_29742,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29720,c_29721]) ).
tff(c_28783,plain,
! [X3_317] :
( ( inverse(X3_317) != sk_c7 )
| ( multiply(X3_317,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_28798,plain,
( ( inverse(identity) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28783]) ).
tff(c_28803,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_28798]) ).
tff(c_28806,plain,
! [X_318,Z_319] : ( multiply(inverse(X_318),multiply(X_318,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28707]) ).
tff(c_28833,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28735,c_28806]) ).
tff(c_28872,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_28806]) ).
tff(c_29001,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_28833,c_28872]) ).
tff(c_29003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28803,c_29001]) ).
tff(c_29005,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_28798]) ).
tff(c_29009,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29005,c_29005,c_28758]) ).
tff(c_29017,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28735,c_29009]) ).
tff(c_29023,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29017,c_29005]) ).
tff(c_28794,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28783]) ).
tff(c_29115,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29017,c_29023,c_29023,c_28794]) ).
tff(c_29116,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_29115]) ).
tff(c_29024,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29017,c_29017,c_28735]) ).
tff(c_29117,plain,
! [X_321,Z_322] : ( multiply(inverse(X_321),multiply(X_321,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28707]) ).
tff(c_29135,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29024,c_29117]) ).
tff(c_29172,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29135]) ).
tff(c_29175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29116,c_29172]) ).
tff(c_29177,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_29115]) ).
tff(c_29004,plain,
inverse(identity) != sk_c7,
inference(splitRight,[status(thm)],[c_28798]) ).
tff(c_29054,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29023,c_29004]) ).
tff(c_29187,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29177,c_29054]) ).
tff(c_29028,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29017,c_28644]) ).
tff(c_29184,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29177,c_29028]) ).
tff(c_29224,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29184,c_4]) ).
tff(c_28721,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28707]) ).
tff(c_29282,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29224,c_28721]) ).
tff(c_29294,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29282]) ).
tff(c_29298,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29294,c_29184]) ).
tff(c_29301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29187,c_29298]) ).
tff(c_29302,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_29548,plain,
! [X2_331] :
( ( multiply(X2_331,sk_c5) != sk_c6 )
| ( inverse(X2_331) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_29302]) ).
tff(c_29562,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28659,c_29548]) ).
tff(c_29575,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28644,c_29562]) ).
tff(c_29576,plain,
! [X1_8,X4_7] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_29302]) ).
tff(c_29711,plain,
! [X4_7] :
( ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_29576]) ).
tff(c_29795,plain,
! [X4_335] :
( ( inverse(X4_335) != identity )
| ( multiply(X4_335,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29742,c_29720,c_29720,c_29711]) ).
tff(c_29806,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_29795]) ).
tff(c_29814,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29775,c_29775,c_29806]) ).
tff(c_29815,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_29576]) ).
tff(c_29899,plain,
! [X1_337] :
( ( multiply(X1_337,identity) != identity )
| ( inverse(X1_337) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29831,c_29831,c_29824,c_29815]) ).
tff(c_29910,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_29899]) ).
tff(c_29918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29879,c_29879,c_29910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP315-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:00:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 12.03/4.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.37/4.43
% 12.37/4.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.66/4.49
% 12.66/4.49 Inference rules
% 12.66/4.49 ----------------------
% 12.66/4.49 #Ref : 0
% 12.66/4.49 #Sup : 7418
% 12.66/4.49 #Fact : 0
% 12.66/4.49 #Define : 0
% 12.66/4.49 #Split : 47
% 12.66/4.49 #Chain : 0
% 12.66/4.49 #Close : 0
% 12.66/4.49
% 12.66/4.49 Ordering : KBO
% 12.66/4.49
% 12.66/4.49 Simplification rules
% 12.66/4.49 ----------------------
% 12.66/4.49 #Subsume : 30
% 12.66/4.49 #Demod : 20498
% 12.66/4.49 #Tautology : 5749
% 12.66/4.49 #SimpNegUnit : 43
% 12.66/4.49 #BackRed : 588
% 12.66/4.49
% 12.66/4.49 #Partial instantiations: 0
% 12.66/4.49 #Strategies tried : 1
% 12.66/4.49
% 12.66/4.49 Timing (in seconds)
% 12.66/4.49 ----------------------
% 12.66/4.50 Preprocessing : 0.46
% 12.66/4.50 Parsing : 0.20
% 12.66/4.50 CNF conversion : 0.02
% 12.66/4.50 Main loop : 2.88
% 12.66/4.50 Inferencing : 0.87
% 12.66/4.50 Reduction : 1.49
% 12.66/4.50 Demodulation : 1.35
% 12.66/4.50 BG Simplification : 0.08
% 12.66/4.50 Subsumption : 0.29
% 12.66/4.50 Abstraction : 0.17
% 12.66/4.50 MUC search : 0.00
% 12.66/4.50 Cooper : 0.00
% 12.66/4.50 Total : 3.47
% 12.66/4.50 Index Insertion : 0.00
% 12.66/4.50 Index Deletion : 0.00
% 12.66/4.50 Index Matching : 0.00
% 12.66/4.50 BG Taut test : 0.00
%------------------------------------------------------------------------------