TSTP Solution File: GRP343-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP343-1 : 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 : n024.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 10:41:00 EDT 2023
% Result : Unsatisfiable 40.75s 28.29s
% Output : CNFRefutation 40.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 43
% Syntax : Number of formulae : 483 ( 379 unt; 12 typ; 0 def)
% Number of atoms : 709 ( 685 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 495 ( 257 ~; 238 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 253 (; 253 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_63,axiom,
multiply(sk_c8,sk_c9) = sk_c7,
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
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_156,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_132,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_198,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c9) != sk_c7 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X3,sk_c8) != sk_c9 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X5) != X6 )
| ( inverse(X6) != sk_c9 )
| ( multiply(X5,sk_c9) != X6 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_147,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_150,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_138,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_141,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_126,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_129,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c5 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_159,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_186,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_159]) ).
tff(c_783,plain,
! [X_28,Z_29] : ( multiply(inverse(X_28),multiply(X_28,Z_29)) = Z_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_199,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_1171,plain,
! [X_34,Z_35] : ( multiply(inverse(inverse(X_34)),Z_35) = multiply(X_34,Z_35) ),
inference(superposition,[status(thm),theory(equality)],[c_783,c_199]) ).
tff(c_849,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_783]) ).
tff(c_1178,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_1171,c_849]) ).
tff(c_70,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_127,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_105,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_109,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105,c_4]) ).
tff(c_180,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_159]) ).
tff(c_201,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_213,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_127,c_201]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_134,plain,
multiply(sk_c1,sk_c8) = sk_c9,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_97,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_101,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_97,c_4]) ).
tff(c_183,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_159]) ).
tff(c_224,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_236,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_134,c_224]) ).
tff(c_192,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c9,Z_16)) = multiply(sk_c7,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_159]) ).
tff(c_567,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c7,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_236,c_192]) ).
tff(c_573,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_567]) ).
tff(c_804,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_573,c_783]) ).
tff(c_859,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_804]) ).
tff(c_880,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_859,c_859,c_236]) ).
tff(c_885,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_880]) ).
tff(c_248,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_272,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_213,c_248]) ).
tff(c_305,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_8,c_248]) ).
tff(c_391,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_305]) ).
tff(c_266,plain,
multiply(inverse(sk_c9),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_236,c_248]) ).
tff(c_429,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_391,c_391,c_266]) ).
tff(c_438,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_429]) ).
tff(c_431,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_391,c_391,c_236]) ).
tff(c_439,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_431]) ).
tff(c_459,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_438,c_439]) ).
tff(c_74,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_76,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_74]) ).
tff(c_240,plain,
multiply(sk_c9,sk_c7) != sk_c8,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_432,plain,
multiply(sk_c8,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_391,c_240]) ).
tff(c_531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_459,c_438,c_2,c_438,c_432]) ).
tff(c_533,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_556,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_533,c_192]) ).
tff(c_562,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_556]) ).
tff(c_807,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_562,c_783]) ).
tff(c_860,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_807]) ).
tff(c_534,plain,
! [Z_24] : ( multiply(sk_c8,multiply(sk_c9,Z_24)) = multiply(sk_c7,Z_24) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_159]) ).
tff(c_549,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_101,c_534]) ).
tff(c_865,plain,
multiply(sk_c8,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_860,c_549]) ).
tff(c_873,plain,
multiply(sk_c8,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_865]) ).
tff(c_931,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_885,c_873]) ).
tff(c_884,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_859,c_97]) ).
tff(c_932,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_931,c_884]) ).
tff(c_998,plain,
! [X_30] : ( multiply(inverse(inverse(X_30)),identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_783]) ).
tff(c_1004,plain,
! [X_30] : ( multiply(inverse(inverse(inverse(X_30))),X_30) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_998,c_199]) ).
tff(c_598,plain,
! [X_25,Z_26] : ( multiply(inverse(X_25),multiply(X_25,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_619,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_573,c_598]) ).
tff(c_674,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_619]) ).
tff(c_695,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_674,c_674,c_236]) ).
tff(c_700,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_695]) ).
tff(c_622,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_562,c_598]) ).
tff(c_675,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_622]) ).
tff(c_680,plain,
multiply(sk_c8,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_675,c_549]) ).
tff(c_688,plain,
multiply(sk_c8,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_680]) ).
tff(c_746,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_700,c_688]) ).
tff(c_699,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_674,c_97]) ).
tff(c_747,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_746,c_699]) ).
tff(c_532,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_597,plain,
! [X5_6] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitLeft,[status(thm)],[c_532]) ).
tff(c_765,plain,
! [X5_27] :
( ( inverse(multiply(X5_27,identity)) != identity )
| ( multiply(X5_27,identity) != inverse(X5_27) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_674,c_674,c_674,c_597]) ).
tff(c_773,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_765]) ).
tff(c_781,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_747,c_747,c_4,c_747,c_773]) ).
tff(c_782,plain,
! [X2_10,X1_9,X4_11,X3_8] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_532]) ).
tff(c_949,plain,
! [X2_10,X1_9,X4_11,X3_8] :
( ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity )
| ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity )
| ( multiply(X4_11,identity) != identity )
| ( inverse(X4_11) != identity )
| ( multiply(X3_8,identity) != identity )
| ( inverse(X3_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_859,c_885,c_859,c_885,c_885,c_860,c_885,c_859,c_859,c_885,c_859,c_885,c_782]) ).
tff(c_1057,plain,
! [X3_32] :
( ( multiply(X3_32,identity) != identity )
| ( inverse(X3_32) != identity ) ),
inference(splitLeft,[status(thm)],[c_949]) ).
tff(c_1061,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1004,c_1057]) ).
tff(c_1080,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_932,c_932,c_932,c_932,c_1061]) ).
tff(c_1081,plain,
! [X4_11,X1_9,X2_10] :
( ( multiply(X4_11,identity) != identity )
| ( inverse(X4_11) != identity )
| ( inverse(X1_9) != identity )
| ( multiply(X1_9,identity) != identity )
| ( inverse(X2_10) != identity )
| ( multiply(X2_10,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_949]) ).
tff(c_131759,plain,
! [X4_11,X1_9,X2_10] :
( ( identity != X4_11 )
| ( inverse(X4_11) != identity )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1178,c_1178,c_1178,c_1081]) ).
tff(c_131761,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_131759]) ).
tff(c_131763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131761,c_932]) ).
tff(c_131764,plain,
! [X1_9,X4_11] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( identity != X4_11 )
| ( inverse(X4_11) != identity ) ),
inference(splitRight,[status(thm)],[c_131759]) ).
tff(c_131766,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_131764]) ).
tff(c_131768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131766,c_932]) ).
tff(c_134332,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_131764]) ).
tff(c_134334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134332,c_932]) ).
tff(c_134336,plain,
multiply(sk_c1,sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_134406,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_134336,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_134350,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_134336,c_34]) ).
tff(c_134354,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134350,c_4]) ).
tff(c_134417,plain,
! [X_485,Y_486,Z_487] : ( multiply(multiply(X_485,Y_486),Z_487) = multiply(X_485,multiply(Y_486,Z_487)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_134450,plain,
! [Z_487] : ( multiply(sk_c8,multiply(sk_c4,Z_487)) = multiply(identity,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_134354,c_134417]) ).
tff(c_134909,plain,
! [Z_498] : ( multiply(sk_c8,multiply(sk_c4,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134450]) ).
tff(c_134921,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_134406,c_134909]) ).
tff(c_134925,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_134921]) ).
tff(c_134971,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134925,c_8]) ).
tff(c_134465,plain,
! [X_2,Z_487] : ( multiply(inverse(X_2),multiply(X_2,Z_487)) = multiply(identity,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_134417]) ).
tff(c_135063,plain,
! [X_500,Z_501] : ( multiply(inverse(X_500),multiply(X_500,Z_501)) = Z_501 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134465]) ).
tff(c_135102,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_134971,c_135063]) ).
tff(c_135164,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135102]) ).
tff(c_30,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_134400,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_134336,c_30]) ).
tff(c_134964,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134925,c_134400]) ).
tff(c_28,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_134362,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_134336,c_28]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_134412,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_134336,c_26]) ).
tff(c_134962,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134925,c_134412]) ).
tff(c_135090,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_134962,c_135063]) ).
tff(c_135161,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134964,c_134362,c_135090]) ).
tff(c_135209,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135164,c_135161]) ).
tff(c_135216,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135209,c_134925]) ).
tff(c_134482,plain,
! [X_2,Z_487] : ( multiply(inverse(X_2),multiply(X_2,Z_487)) = Z_487 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134465]) ).
tff(c_134500,plain,
! [Z_489] : ( multiply(sk_c8,multiply(sk_c9,Z_489)) = multiply(sk_c7,Z_489) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_134417]) ).
tff(c_134521,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_101,c_134500]) ).
tff(c_134366,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134362,c_4]) ).
tff(c_134515,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_134366,c_134500]) ).
tff(c_134891,plain,
multiply(sk_c7,sk_c3) = multiply(sk_c7,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_134521,c_134515]) ).
tff(c_135114,plain,
multiply(inverse(sk_c7),multiply(sk_c7,sk_c1)) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_134891,c_135063]) ).
tff(c_135166,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_134482,c_135114]) ).
tff(c_134432,plain,
! [Z_487] : ( multiply(sk_c3,multiply(sk_c9,Z_487)) = multiply(sk_c8,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_134412,c_134417]) ).
tff(c_135228,plain,
! [Z_487] : ( multiply(sk_c1,Z_487) = Z_487 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135216,c_2,c_135164,c_135166,c_134432]) ).
tff(c_134335,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_134340,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_134335,c_4]) ).
tff(c_134518,plain,
multiply(sk_c8,identity) = multiply(sk_c7,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_134340,c_134500]) ).
tff(c_134900,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_134521,c_134518]) ).
tff(c_135111,plain,
multiply(inverse(sk_c7),multiply(sk_c7,sk_c1)) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_134900,c_135063]) ).
tff(c_135165,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_134482,c_135111]) ).
tff(c_36,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_134380,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_134336,c_36]) ).
tff(c_40,plain,
( ( multiply(sk_c6,sk_c9) = sk_c5 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_134395,plain,
multiply(sk_c6,sk_c9) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_134336,c_40]) ).
tff(c_135126,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_134395,c_135063]) ).
tff(c_135167,plain,
multiply(sk_c5,sk_c5) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_134380,c_135126]) ).
tff(c_135329,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_135228,c_135164,c_135165,c_135165,c_135167]) ).
tff(c_134447,plain,
! [Z_487] : ( multiply(sk_c9,multiply(sk_c3,Z_487)) = multiply(identity,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_134366,c_134417]) ).
tff(c_134556,plain,
! [Z_491] : ( multiply(sk_c9,multiply(sk_c3,Z_491)) = Z_491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_134447]) ).
tff(c_134571,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_134412,c_134556]) ).
tff(c_134957,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_134925,c_134571]) ).
tff(c_135055,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_134964,c_134957]) ).
tff(c_134967,plain,
multiply(sk_c1,sk_c7) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_134925,c_134336]) ).
tff(c_135172,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135055,c_134967]) ).
tff(c_135393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135329,c_135209,c_135209,c_135172]) ).
tff(c_135395,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_135465,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_135395,c_64]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_135433,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_135395,c_66]) ).
tff(c_135437,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135433,c_4]) ).
tff(c_135483,plain,
! [X_503,Y_504,Z_505] : ( multiply(multiply(X_503,Y_504),Z_505) = multiply(X_503,multiply(Y_504,Z_505)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_135513,plain,
! [Z_505] : ( multiply(sk_c8,multiply(sk_c4,Z_505)) = multiply(identity,Z_505) ),
inference(superposition,[status(thm),theory(equality)],[c_135437,c_135483]) ).
tff(c_135844,plain,
! [Z_516] : ( multiply(sk_c8,multiply(sk_c4,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135513]) ).
tff(c_135856,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_135465,c_135844]) ).
tff(c_135860,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_135856]) ).
tff(c_58,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_135470,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_135395,c_58]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_135441,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_135395,c_60]) ).
tff(c_135445,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_135441,c_4]) ).
tff(c_135510,plain,
! [Z_505] : ( multiply(sk_c9,multiply(sk_c3,Z_505)) = multiply(identity,Z_505) ),
inference(superposition,[status(thm),theory(equality)],[c_135445,c_135483]) ).
tff(c_135807,plain,
! [Z_515] : ( multiply(sk_c9,multiply(sk_c3,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135510]) ).
tff(c_135822,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_135470,c_135807]) ).
tff(c_136240,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_135860,c_135822]) ).
tff(c_135531,plain,
! [X_2,Z_505] : ( multiply(inverse(X_2),multiply(X_2,Z_505)) = multiply(identity,Z_505) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_135483]) ).
tff(c_136324,plain,
! [X_520,Z_521] : ( multiply(inverse(X_520),multiply(X_520,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135531]) ).
tff(c_136357,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_136240,c_136324]) ).
tff(c_136418,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_136357]) ).
tff(c_136253,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135860,c_105]) ).
tff(c_136447,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_136418,c_136253]) ).
tff(c_136492,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_136447,c_4]) ).
tff(c_135548,plain,
! [X_2,Z_505] : ( multiply(inverse(X_2),multiply(X_2,Z_505)) = Z_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_135531]) ).
tff(c_136643,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_136492,c_135548]) ).
tff(c_136655,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_136643]) ).
tff(c_136251,plain,
multiply(sk_c2,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_135860,c_135395]) ).
tff(c_136444,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_136418,c_136418,c_136251]) ).
tff(c_136673,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136655,c_136444]) ).
tff(c_136675,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_136759,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_136675,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_136694,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_136675,c_50]) ).
tff(c_136698,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_136694,c_4]) ).
tff(c_136773,plain,
! [X_524,Y_525,Z_526] : ( multiply(multiply(X_524,Y_525),Z_526) = multiply(X_524,multiply(Y_525,Z_526)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_136806,plain,
! [Z_526] : ( multiply(sk_c8,multiply(sk_c4,Z_526)) = multiply(identity,Z_526) ),
inference(superposition,[status(thm),theory(equality)],[c_136698,c_136773]) ).
tff(c_137024,plain,
! [Z_533] : ( multiply(sk_c8,multiply(sk_c4,Z_533)) = Z_533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136806]) ).
tff(c_137036,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_136759,c_137024]) ).
tff(c_137040,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_137036]) ).
tff(c_46,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_136752,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_136675,c_46]) ).
tff(c_137043,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_137040,c_136752]) ).
tff(c_42,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_136733,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_136675,c_42]) ).
tff(c_137044,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_137040,c_136733]) ).
tff(c_44,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_136683,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_136684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136675,c_136683]) ).
tff(c_136685,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_136690,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_136685,c_4]) ).
tff(c_136812,plain,
! [Z_526] : ( multiply(sk_c9,multiply(sk_c3,Z_526)) = multiply(identity,Z_526) ),
inference(superposition,[status(thm),theory(equality)],[c_136690,c_136773]) ).
tff(c_139057,plain,
! [Z_571] : ( multiply(sk_c9,multiply(sk_c3,Z_571)) = Z_571 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136812]) ).
tff(c_139069,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_137044,c_139057]) ).
tff(c_139073,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_137043,c_139069]) ).
tff(c_139076,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_139073,c_137043]) ).
tff(c_136815,plain,
! [X_2,Z_526] : ( multiply(inverse(X_2),multiply(X_2,Z_526)) = multiply(identity,Z_526) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_136773]) ).
tff(c_136831,plain,
! [X_2,Z_526] : ( multiply(inverse(X_2),multiply(X_2,Z_526)) = Z_526 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136815]) ).
tff(c_139215,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_139076,c_136831]) ).
tff(c_139221,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_139215]) ).
tff(c_139094,plain,
! [X_572,Z_573] : ( multiply(inverse(X_572),multiply(X_572,Z_573)) = Z_573 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136815]) ).
tff(c_139449,plain,
! [X_577,Z_578] : ( multiply(inverse(inverse(X_577)),Z_578) = multiply(X_577,Z_578) ),
inference(superposition,[status(thm),theory(equality)],[c_139094,c_136831]) ).
tff(c_139130,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_139094]) ).
tff(c_139456,plain,
! [X_577] : ( multiply(X_577,identity) = X_577 ),
inference(superposition,[status(thm),theory(equality)],[c_139449,c_139130]) ).
tff(c_139231,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139221,c_139073]) ).
tff(c_137099,plain,
! [Z_534] : ( multiply(sk_c9,multiply(sk_c3,Z_534)) = Z_534 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136812]) ).
tff(c_137111,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_137044,c_137099]) ).
tff(c_137115,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_137043,c_137111]) ).
tff(c_137118,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_137115,c_137043]) ).
tff(c_137257,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_137118,c_136831]) ).
tff(c_137263,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_137257]) ).
tff(c_136674,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_137130,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_137115,c_136674]) ).
tff(c_137196,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137130,c_4]) ).
tff(c_137320,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_137263,c_137196]) ).
tff(c_137271,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137263,c_137130]) ).
tff(c_137328,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137320,c_137271]) ).
tff(c_137136,plain,
! [X_535,Z_536] : ( multiply(inverse(X_535),multiply(X_535,Z_536)) = Z_536 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136815]) ).
tff(c_137491,plain,
! [X_540,Z_541] : ( multiply(inverse(inverse(X_540)),Z_541) = multiply(X_540,Z_541) ),
inference(superposition,[status(thm),theory(equality)],[c_137136,c_136831]) ).
tff(c_137172,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_137136]) ).
tff(c_137498,plain,
! [X_540] : ( multiply(X_540,identity) = X_540 ),
inference(superposition,[status(thm),theory(equality)],[c_137491,c_137172]) ).
tff(c_137273,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_137263,c_137115]) ).
tff(c_136896,plain,
! [Z_529] : ( multiply(sk_c8,multiply(sk_c4,Z_529)) = Z_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136806]) ).
tff(c_136908,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_136759,c_136896]) ).
tff(c_136912,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_136908]) ).
tff(c_136918,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_136912,c_136694]) ).
tff(c_136914,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_136912,c_136759]) ).
tff(c_136894,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136752,c_76]) ).
tff(c_136895,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_136894]) ).
tff(c_136969,plain,
! [X3_530] :
( ( multiply(X3_530,sk_c7) != sk_c9 )
| ( inverse(X3_530) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136912,c_136895]) ).
tff(c_136975,plain,
inverse(sk_c4) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_136914,c_136969]) ).
tff(c_136989,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_136918,c_136975]) ).
tff(c_136915,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_136912,c_136752]) ).
tff(c_136916,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_136912,c_136733]) ).
tff(c_137004,plain,
! [Z_532] : ( multiply(sk_c9,multiply(sk_c3,Z_532)) = Z_532 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_136812]) ).
tff(c_137016,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_136916,c_137004]) ).
tff(c_137020,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_136915,c_137016]) ).
tff(c_137022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136989,c_137020]) ).
tff(c_137023,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitRight,[status(thm)],[c_136894]) ).
tff(c_137060,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137040,c_137040,c_137040,c_137040,c_137040,c_137023]) ).
tff(c_137061,plain,
! [X5_6] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitLeft,[status(thm)],[c_137060]) ).
tff(c_139003,plain,
! [X5_570] :
( ( inverse(X5_570) != identity )
| ( inverse(X5_570) != X5_570 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137498,c_137273,c_137498,c_137273,c_137273,c_137061]) ).
tff(c_139011,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_137328,c_139003]) ).
tff(c_139018,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137328,c_139011]) ).
tff(c_139019,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_137060]) ).
tff(c_146880,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( identity != X4_11 )
| ( inverse(X4_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139221,c_139456,c_139221,c_139221,c_139456,c_139231,c_139221,c_139231,c_139456,c_139231,c_139221,c_139221,c_139019]) ).
tff(c_146882,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_146880]) ).
tff(c_139088,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_139073,c_136674]) ).
tff(c_139154,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_139088,c_4]) ).
tff(c_139278,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_139221,c_139154]) ).
tff(c_139229,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139221,c_139088]) ).
tff(c_139286,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_139278,c_139229]) ).
tff(c_146884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146882,c_139286]) ).
tff(c_146885,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_146880]) ).
tff(c_146887,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_146885]) ).
tff(c_146889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146887,c_139286]) ).
tff(c_147277,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_146885]) ).
tff(c_147279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147277,c_139286]) ).
tff(c_147281,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_147348,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_147281,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_147306,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_147281,c_18]) ).
tff(c_147310,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147306,c_4]) ).
tff(c_147384,plain,
! [X_666,Y_667,Z_668] : ( multiply(multiply(X_666,Y_667),Z_668) = multiply(X_666,multiply(Y_667,Z_668)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_147417,plain,
! [Z_668] : ( multiply(sk_c8,multiply(sk_c4,Z_668)) = multiply(identity,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_147310,c_147384]) ).
tff(c_147628,plain,
! [Z_673] : ( multiply(sk_c8,multiply(sk_c4,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147417]) ).
tff(c_147640,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_147348,c_147628]) ).
tff(c_147644,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_147640]) ).
tff(c_14,plain,
( ( multiply(sk_c9,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_147363,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_147281,c_14]) ).
tff(c_147647,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147644,c_147363]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_147354,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_147281,c_10]) ).
tff(c_147648,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147644,c_147354]) ).
tff(c_147280,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_147285,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147280,c_4]) ).
tff(c_147423,plain,
! [Z_668] : ( multiply(sk_c9,multiply(sk_c3,Z_668)) = multiply(identity,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_147285,c_147384]) ).
tff(c_147441,plain,
! [Z_668] : ( multiply(sk_c9,multiply(sk_c3,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147423]) ).
tff(c_149743,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_147648,c_147441]) ).
tff(c_149749,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147647,c_149743]) ).
tff(c_147467,plain,
! [Z_670] : ( multiply(sk_c9,multiply(sk_c3,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147423]) ).
tff(c_147479,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_147354,c_147467]) ).
tff(c_147646,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_147644,c_147479]) ).
tff(c_149835,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_149749,c_149749,c_147646]) ).
tff(c_147426,plain,
! [X_2,Z_668] : ( multiply(inverse(X_2),multiply(X_2,Z_668)) = multiply(identity,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_147384]) ).
tff(c_147442,plain,
! [X_2,Z_668] : ( multiply(inverse(X_2),multiply(X_2,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147426]) ).
tff(c_149839,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_149835,c_147442]) ).
tff(c_149845,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_149839]) ).
tff(c_149773,plain,
! [X_710,Z_711] : ( multiply(inverse(X_710),multiply(X_710,Z_711)) = Z_711 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147426]) ).
tff(c_150070,plain,
! [X_713,Z_714] : ( multiply(inverse(inverse(X_713)),Z_714) = multiply(X_713,Z_714) ),
inference(superposition,[status(thm),theory(equality)],[c_147442,c_149773]) ).
tff(c_149815,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_149773]) ).
tff(c_150077,plain,
! [X_713] : ( multiply(X_713,identity) = X_713 ),
inference(superposition,[status(thm),theory(equality)],[c_150070,c_149815]) ).
tff(c_149851,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_149845,c_149749]) ).
tff(c_147701,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_147648,c_147441]) ).
tff(c_147707,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147647,c_147701]) ).
tff(c_147793,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147707,c_147707,c_147646]) ).
tff(c_147797,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_147793,c_147442]) ).
tff(c_147803,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_147797]) ).
tff(c_147293,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_147653,plain,
inverse(sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147644,c_147293]) ).
tff(c_147671,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147653,c_4]) ).
tff(c_147819,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147803,c_147671]) ).
tff(c_147811,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_147803,c_147653]) ).
tff(c_147863,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_147819,c_147811]) ).
tff(c_147731,plain,
! [X_674,Z_675] : ( multiply(inverse(X_674),multiply(X_674,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147426]) ).
tff(c_148028,plain,
! [X_677,Z_678] : ( multiply(inverse(inverse(X_677)),Z_678) = multiply(X_677,Z_678) ),
inference(superposition,[status(thm),theory(equality)],[c_147442,c_147731]) ).
tff(c_147773,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_147731]) ).
tff(c_148035,plain,
! [X_677] : ( multiply(X_677,identity) = X_677 ),
inference(superposition,[status(thm),theory(equality)],[c_148028,c_147773]) ).
tff(c_147809,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_147803,c_147707]) ).
tff(c_147493,plain,
! [Z_671] : ( multiply(sk_c8,multiply(sk_c4,Z_671)) = Z_671 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147417]) ).
tff(c_147505,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_147348,c_147493]) ).
tff(c_147509,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_147505]) ).
tff(c_147516,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147509,c_147306]) ).
tff(c_147512,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147509,c_147363]) ).
tff(c_147511,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_147509,c_147479]) ).
tff(c_147552,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147512,c_147511]) ).
tff(c_147514,plain,
multiply(sk_c4,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_147509,c_147348]) ).
tff(c_147613,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_147552,c_147514]) ).
tff(c_147491,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147363,c_76]) ).
tff(c_147492,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_147491]) ).
tff(c_147574,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147552,c_147552,c_147509,c_147492]) ).
tff(c_147617,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_147613,c_147574]) ).
tff(c_147626,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147516,c_147617]) ).
tff(c_147627,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitRight,[status(thm)],[c_147491]) ).
tff(c_147666,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147644,c_147644,c_147644,c_147644,c_147644,c_147627]) ).
tff(c_147667,plain,
! [X5_6] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitLeft,[status(thm)],[c_147666]) ).
tff(c_149693,plain,
! [X5_709] :
( ( inverse(X5_709) != identity )
| ( inverse(X5_709) != X5_709 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148035,c_147809,c_148035,c_147809,c_147809,c_147667]) ).
tff(c_149701,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_147863,c_149693]) ).
tff(c_149708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147863,c_149701]) ).
tff(c_149709,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_147666]) ).
tff(c_157953,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( identity != X4_11 )
| ( inverse(X4_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149845,c_150077,c_149845,c_149845,c_150077,c_149851,c_149845,c_149851,c_150077,c_149851,c_149845,c_149845,c_149709]) ).
tff(c_157955,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_157953]) ).
tff(c_149713,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147653,c_4]) ).
tff(c_149861,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_149845,c_149713]) ).
tff(c_149853,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_149845,c_147653]) ).
tff(c_149905,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_149861,c_149853]) ).
tff(c_157957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157955,c_149905]) ).
tff(c_157958,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_157953]) ).
tff(c_157960,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_157958]) ).
tff(c_157962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157960,c_149905]) ).
tff(c_158361,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_157958]) ).
tff(c_158363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158361,c_149905]) ).
tff(c_158365,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_158419,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_158365,c_48]) ).
tff(c_158391,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_158365,c_50]) ).
tff(c_158395,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_158391,c_4]) ).
tff(c_158453,plain,
! [X_805,Y_806,Z_807] : ( multiply(multiply(X_805,Y_806),Z_807) = multiply(X_805,multiply(Y_806,Z_807)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_158480,plain,
! [Z_807] : ( multiply(sk_c8,multiply(sk_c4,Z_807)) = multiply(identity,Z_807) ),
inference(superposition,[status(thm),theory(equality)],[c_158395,c_158453]) ).
tff(c_158509,plain,
! [Z_808] : ( multiply(sk_c8,multiply(sk_c4,Z_808)) = Z_808 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158480]) ).
tff(c_158521,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_158419,c_158509]) ).
tff(c_158525,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_158521]) ).
tff(c_158533,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_8]) ).
tff(c_158492,plain,
! [X_2,Z_807] : ( multiply(inverse(X_2),multiply(X_2,Z_807)) = multiply(identity,Z_807) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_158453]) ).
tff(c_159380,plain,
! [X_826,Z_827] : ( multiply(inverse(X_826),multiply(X_826,Z_827)) = Z_827 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158492]) ).
tff(c_159410,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_158533,c_159380]) ).
tff(c_159424,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_159410]) ).
tff(c_158530,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_158395]) ).
tff(c_158428,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_158365,c_46]) ).
tff(c_158468,plain,
! [Z_807] : ( multiply(sk_c9,multiply(sk_c7,Z_807)) = multiply(sk_c8,Z_807) ),
inference(superposition,[status(thm),theory(equality)],[c_158428,c_158453]) ).
tff(c_159304,plain,
! [Z_824] : ( multiply(sk_c9,multiply(sk_c7,Z_824)) = multiply(sk_c7,Z_824) ),
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_158468]) ).
tff(c_159316,plain,
multiply(sk_c9,identity) = multiply(sk_c7,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_158530,c_159304]) ).
tff(c_159323,plain,
multiply(sk_c9,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158530,c_159316]) ).
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_159328,plain,
! [Z_5] : ( multiply(sk_c9,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_159323,c_6]) ).
tff(c_159336,plain,
! [Z_825] : ( multiply(sk_c9,Z_825) = Z_825 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_159328]) ).
tff(c_158364,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_158369,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_158364,c_4]) ).
tff(c_159345,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_159336,c_158369]) ).
tff(c_159365,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_159345,c_158364]) ).
tff(c_159471,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_159424,c_159365]) ).
tff(c_158507,plain,
! [X_2,Z_807] : ( multiply(inverse(X_2),multiply(X_2,Z_807)) = Z_807 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158492]) ).
tff(c_159721,plain,
! [X_832,Z_833] : ( multiply(inverse(inverse(X_832)),Z_833) = multiply(X_832,Z_833) ),
inference(superposition,[status(thm),theory(equality)],[c_158507,c_159380]) ).
tff(c_159416,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_159380]) ).
tff(c_159732,plain,
! [X_832] : ( multiply(X_832,identity) = X_832 ),
inference(superposition,[status(thm),theory(equality)],[c_159721,c_159416]) ).
tff(c_159348,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_159336,c_147285]) ).
tff(c_158409,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_158365,c_42]) ).
tff(c_158529,plain,
multiply(sk_c3,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_158409]) ).
tff(c_159371,plain,
multiply(identity,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_159348,c_158529]) ).
tff(c_159601,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159424,c_159371]) ).
tff(c_158667,plain,
! [X_811,Z_812] : ( multiply(inverse(X_811),multiply(X_811,Z_812)) = Z_812 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158492]) ).
tff(c_158715,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_158533,c_158667]) ).
tff(c_158744,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_158715]) ).
tff(c_158910,plain,
! [X_814,Z_815] : ( multiply(inverse(inverse(X_814)),Z_815) = multiply(X_814,Z_815) ),
inference(superposition,[status(thm),theory(equality)],[c_158667,c_158507]) ).
tff(c_158733,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_158667]) ).
tff(c_158917,plain,
! [X_814] : ( multiply(X_814,identity) = X_814 ),
inference(superposition,[status(thm),theory(equality)],[c_158910,c_158733]) ).
tff(c_158527,plain,
multiply(sk_c9,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_158428]) ).
tff(c_158706,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_158529,c_158667]) ).
tff(c_158743,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_158527,c_147280,c_158706]) ).
tff(c_158764,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158744,c_158743]) ).
tff(c_158574,plain,
! [X5_6,X2_10,X3_8,X1_9,X4_11] :
( ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_158525,c_158525,c_158525,c_158527,c_158525,c_158525,c_158525,c_76]) ).
tff(c_158575,plain,
! [X3_8] :
( ( multiply(X3_8,sk_c7) != sk_c9 )
| ( inverse(X3_8) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_158574]) ).
tff(c_159290,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_158744,c_158917,c_158764,c_158744,c_158575]) ).
tff(c_158602,plain,
! [Z_810] : ( multiply(sk_c9,multiply(sk_c7,Z_810)) = multiply(sk_c7,Z_810) ),
inference(demodulation,[status(thm),theory(equality)],[c_158525,c_158468]) ).
tff(c_158614,plain,
multiply(sk_c9,identity) = multiply(sk_c7,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_158530,c_158602]) ).
tff(c_158621,plain,
multiply(sk_c9,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158530,c_158614]) ).
tff(c_52,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_158379,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_158365,c_52]) ).
tff(c_158383,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_158379,c_4]) ).
tff(c_158486,plain,
! [Z_807] : ( multiply(sk_c9,multiply(sk_c5,Z_807)) = multiply(identity,Z_807) ),
inference(superposition,[status(thm),theory(equality)],[c_158369,c_158453]) ).
tff(c_158585,plain,
! [Z_809] : ( multiply(sk_c9,multiply(sk_c5,Z_809)) = Z_809 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_158486]) ).
tff(c_158597,plain,
multiply(sk_c9,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_158383,c_158585]) ).
tff(c_158631,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158621,c_158597]) ).
tff(c_24,plain,
( ( multiply(sk_c6,sk_c9) = sk_c5 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_158414,plain,
multiply(sk_c6,sk_c9) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_147281,c_24]) ).
tff(c_158640,plain,
multiply(identity,sk_c9) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_158631,c_158414]) ).
tff(c_158664,plain,
sk_c9 = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2,c_158640]) ).
tff(c_158777,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158744,c_158664]) ).
tff(c_158756,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_158743,c_158364]) ).
tff(c_158800,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158777,c_158764,c_158756]) ).
tff(c_159292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159290,c_158800]) ).
tff(c_159293,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(multiply(X5_6,sk_c9)) != sk_c9 )
| ( multiply(X5_6,sk_c9) != inverse(X5_6) ) ),
inference(splitRight,[status(thm)],[c_158574]) ).
tff(c_166743,plain,
! [X4_11,X1_9,X2_10,X5_6] :
( ( identity != X4_11 )
| ( inverse(X4_11) != identity )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X5_6) != identity )
| ( inverse(X5_6) != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159732,c_159424,c_159732,c_159424,c_159424,c_159732,c_159601,c_159424,c_159601,c_159732,c_159601,c_159424,c_159424,c_159601,c_159732,c_159601,c_159601,c_159293]) ).
tff(c_166745,plain,
! [X5_917] :
( ( inverse(X5_917) != identity )
| ( inverse(X5_917) != X5_917 ) ),
inference(splitLeft,[status(thm)],[c_166743]) ).
tff(c_166753,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_159471,c_166745]) ).
tff(c_166760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_159471,c_166753]) ).
tff(c_166761,plain,
! [X2_10,X1_9,X4_11] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( identity != X4_11 )
| ( inverse(X4_11) != identity ) ),
inference(splitRight,[status(thm)],[c_166743]) ).
tff(c_193667,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_166761]) ).
tff(c_193669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193667,c_159471]) ).
tff(c_193670,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_166761]) ).
tff(c_193673,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_193670]) ).
tff(c_193675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193673,c_159471]) ).
tff(c_193677,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_193670]) ).
tff(c_193679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193677,c_159471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP343-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:18:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 40.75/28.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.81/28.35
% 40.81/28.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.81/28.42
% 40.81/28.42 Inference rules
% 40.81/28.42 ----------------------
% 40.81/28.42 #Ref : 0
% 40.81/28.42 #Sup : 46388
% 40.81/28.42 #Fact : 0
% 40.81/28.42 #Define : 0
% 40.81/28.42 #Split : 30
% 40.81/28.42 #Chain : 0
% 40.81/28.42 #Close : 0
% 40.81/28.42
% 40.81/28.42 Ordering : KBO
% 40.81/28.42
% 40.81/28.42 Simplification rules
% 40.81/28.42 ----------------------
% 40.81/28.42 #Subsume : 5
% 40.81/28.42 #Demod : 219419
% 40.81/28.42 #Tautology : 37885
% 40.81/28.42 #SimpNegUnit : 57
% 40.81/28.42 #BackRed : 562
% 40.81/28.42
% 40.81/28.42 #Partial instantiations: 0
% 40.81/28.42 #Strategies tried : 1
% 40.81/28.42
% 40.81/28.42 Timing (in seconds)
% 40.81/28.42 ----------------------
% 40.81/28.42 Preprocessing : 0.60
% 40.81/28.42 Parsing : 0.24
% 40.81/28.42 CNF conversion : 0.03
% 40.81/28.42 Main loop : 26.52
% 40.81/28.42 Inferencing : 4.92
% 40.81/28.42 Reduction : 18.84
% 40.81/28.42 Demodulation : 18.18
% 40.81/28.42 BG Simplification : 0.35
% 40.81/28.42 Subsumption : 1.75
% 40.81/28.42 Abstraction : 1.43
% 40.81/28.42 MUC search : 0.00
% 40.81/28.42 Cooper : 0.00
% 40.81/28.42 Total : 27.26
% 40.81/28.42 Index Insertion : 0.00
% 40.81/28.42 Index Deletion : 0.00
% 40.81/28.42 Index Matching : 0.00
% 40.81/28.42 BG Taut test : 0.00
%------------------------------------------------------------------------------