TSTP Solution File: GRP388-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP388-1 : 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 : n003.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 10:41:09 EDT 2023
% Result : Unsatisfiable 119.29s 105.02s
% Output : CNFRefutation 119.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 363 ( 287 unt; 13 typ; 0 def)
% Number of atoms : 495 ( 478 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 311 ( 166 ~; 145 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 241 (; 241 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > 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_c10,type,
sk_c10: $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_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_156,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_63,axiom,
inverse(sk_c10) = sk_c9,
file(unknown,unknown) ).
tff(f_120,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( inverse(sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_198,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(sk_c10) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(sk_c10,X3) != sk_c9 )
| ( multiply(X4,sk_c10) != X3 )
| ( inverse(X4) != sk_c10 )
| ( multiply(sk_c10,X1) != sk_c9 )
| ( multiply(X2,sk_c10) != X1 )
| ( inverse(X2) != sk_c10 )
| ( multiply(X5,X6) != sk_c8 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c9) != sk_c8 )
| ( inverse(X7) != sk_c10 )
| ( multiply(X7,sk_c8) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_141,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_144,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_138,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_159,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
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_36982,plain,
! [X_348,Y_349,Z_350] : ( multiply(multiply(X_348,Y_349),Z_350) = multiply(X_348,multiply(Y_349,Z_350)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37024,plain,
! [X_2,Z_350] : ( multiply(inverse(X_2),multiply(X_2,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36982]) ).
tff(c_37036,plain,
! [X_2,Z_350] : ( multiply(inverse(X_2),multiply(X_2,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37024]) ).
tff(c_37142,plain,
! [X_353,Z_354] : ( multiply(inverse(X_353),multiply(X_353,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37024]) ).
tff(c_37589,plain,
! [X_359,Z_360] : ( multiply(inverse(inverse(X_359)),Z_360) = multiply(X_359,Z_360) ),
inference(superposition,[status(thm),theory(equality)],[c_37036,c_37142]) ).
tff(c_37208,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37142]) ).
tff(c_37596,plain,
! [X_359] : ( multiply(X_359,identity) = X_359 ),
inference(superposition,[status(thm),theory(equality)],[c_37589,c_37208]) ).
tff(c_37637,plain,
! [X_361] : ( multiply(X_361,identity) = X_361 ),
inference(superposition,[status(thm),theory(equality)],[c_37589,c_37208]) ).
tff(c_37154,plain,
! [X_2,Z_350] : ( multiply(inverse(inverse(X_2)),Z_350) = multiply(X_2,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_37036,c_37142]) ).
tff(c_37644,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_37637,c_37154]) ).
tff(c_37693,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_37596,c_37644]) ).
tff(c_37623,plain,
! [X_359,Z_350] : ( multiply(X_359,multiply(inverse(X_359),Z_350)) = Z_350 ),
inference(superposition,[status(thm),theory(equality)],[c_37036,c_37589]) ).
tff(c_37352,plain,
! [X_355] : ( multiply(inverse(identity),X_355) = X_355 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_37142]) ).
tff(c_37512,plain,
! [X_358] : ( multiply(inverse(inverse(identity)),X_358) = X_358 ),
inference(superposition,[status(thm),theory(equality)],[c_37352,c_37036]) ).
tff(c_37533,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37512,c_4]) ).
tff(c_37610,plain,
! [X_359] : ( multiply(X_359,inverse(X_359)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_37589,c_4]) ).
tff(c_9138,plain,
! [X_139,Y_140,Z_141] : ( multiply(multiply(X_139,Y_140),Z_141) = multiply(X_139,multiply(Y_140,Z_141)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9186,plain,
! [X_2,Z_141] : ( multiply(inverse(X_2),multiply(X_2,Z_141)) = multiply(identity,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9138]) ).
tff(c_10398,plain,
! [X_165,Z_166] : ( multiply(inverse(X_165),multiply(X_165,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9186]) ).
tff(c_10580,plain,
! [X_168] : ( multiply(inverse(identity),X_168) = X_168 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_10398]) ).
tff(c_9199,plain,
! [X_2,Z_141] : ( multiply(inverse(X_2),multiply(X_2,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9186]) ).
tff(c_10690,plain,
! [X_170] : ( multiply(inverse(inverse(identity)),X_170) = X_170 ),
inference(superposition,[status(thm),theory(equality)],[c_10580,c_9199]) ).
tff(c_10711,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10690,c_4]) ).
tff(c_10769,plain,
! [X_171,Z_172] : ( multiply(inverse(inverse(X_171)),Z_172) = multiply(X_171,Z_172) ),
inference(superposition,[status(thm),theory(equality)],[c_9199,c_10398]) ).
tff(c_10790,plain,
! [X_171] : ( multiply(X_171,inverse(X_171)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_10769,c_4]) ).
tff(c_70,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_104,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_108,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104,c_4]) ).
tff(c_8,plain,
inverse(sk_c10) = sk_c9,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_90,plain,
! [X_14] : ( multiply(inverse(X_14),X_14) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_97,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).
tff(c_9183,plain,
! [Z_141] : ( multiply(sk_c9,multiply(sk_c10,Z_141)) = multiply(identity,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_97,c_9138]) ).
tff(c_9201,plain,
! [Z_142] : ( multiply(sk_c9,multiply(sk_c10,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9183]) ).
tff(c_9222,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_108,c_9201]) ).
tff(c_159,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_189,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_159]) ).
tff(c_854,plain,
! [X_33,Z_34] : ( multiply(inverse(X_33),multiply(X_33,Z_34)) = Z_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189]) ).
tff(c_1011,plain,
! [X_36] : ( multiply(inverse(identity),X_36) = X_36 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_854]) ).
tff(c_199,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_189]) ).
tff(c_1079,plain,
! [X_38] : ( multiply(inverse(inverse(identity)),X_38) = X_38 ),
inference(superposition,[status(thm),theory(equality)],[c_1011,c_199]) ).
tff(c_1100,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1079,c_4]) ).
tff(c_1238,plain,
! [X_42,Z_43] : ( multiply(inverse(inverse(X_42)),Z_43) = multiply(X_42,Z_43) ),
inference(superposition,[status(thm),theory(equality)],[c_854,c_199]) ).
tff(c_1259,plain,
! [X_42] : ( multiply(X_42,inverse(X_42)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1238,c_4]) ).
tff(c_46,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_118,plain,
multiply(sk_c1,sk_c10) = sk_c2,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_183,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_159]) ).
tff(c_348,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_363,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_118,c_348]) ).
tff(c_38,plain,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_125,plain,
multiply(sk_c10,sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_367,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_363,c_125]) ).
tff(c_186,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c10,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_97,c_159]) ).
tff(c_201,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c10,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_216,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_108,c_201]) ).
tff(c_379,plain,
multiply(sk_c10,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_367,c_216]) ).
tff(c_384,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_367,c_8]) ).
tff(c_383,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_367,c_97]) ).
tff(c_878,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_383,c_854]) ).
tff(c_904,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_384,c_878]) ).
tff(c_911,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_904,c_904,c_384]) ).
tff(c_1252,plain,
! [X_42,Z_17] : ( multiply(X_42,multiply(inverse(X_42),Z_17)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_1238,c_199]) ).
tff(c_198,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c10,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_371,plain,
multiply(sk_c9,sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_363,c_198]) ).
tff(c_377,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_371]) ).
tff(c_180,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c10,Z_17)) = multiply(sk_c2,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_159]) ).
tff(c_964,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_904,c_2,c_377,c_180]) ).
tff(c_912,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_904,c_367]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_130,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_174,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c9,Z_17)) = multiply(sk_c10,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_159]) ).
tff(c_1147,plain,
! [Z_39] : ( multiply(sk_c8,multiply(sk_c1,Z_39)) = multiply(sk_c1,Z_39) ),
inference(demodulation,[status(thm),theory(equality)],[c_912,c_904,c_174]) ).
tff(c_1162,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c1,Z_17)) = multiply(sk_c8,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_964,c_1147]) ).
tff(c_1177,plain,
! [Z_40] : ( multiply(sk_c8,Z_40) = Z_40 ),
inference(demodulation,[status(thm),theory(equality)],[c_964,c_1162]) ).
tff(c_1195,plain,
! [Z_41] : ( multiply(inverse(sk_c8),Z_41) = Z_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1177,c_199]) ).
tff(c_1212,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_1195,c_4]) ).
tff(c_896,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_854]) ).
tff(c_1245,plain,
! [X_42] : ( multiply(X_42,identity) = X_42 ),
inference(superposition,[status(thm),theory(equality)],[c_1238,c_896]) ).
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_1454,plain,
! [X_47,Y_48,Z_49] : ( multiply(inverse(multiply(X_47,Y_48)),multiply(X_47,multiply(Y_48,Z_49))) = Z_49 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_854]) ).
tff(c_1490,plain,
! [X_47,X_42] : ( multiply(inverse(multiply(X_47,X_42)),multiply(X_47,identity)) = inverse(X_42) ),
inference(superposition,[status(thm),theory(equality)],[c_1259,c_1454]) ).
tff(c_2215,plain,
! [X_61,X_62] : ( multiply(inverse(multiply(X_61,X_62)),X_61) = inverse(X_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_1245,c_1490]) ).
tff(c_2320,plain,
! [Z_17] : ( multiply(inverse(Z_17),sk_c1) = inverse(multiply(sk_c1,Z_17)) ),
inference(superposition,[status(thm),theory(equality)],[c_964,c_2215]) ).
tff(c_396,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_363]) ).
tff(c_428,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_396]) ).
tff(c_432,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_428,c_384]) ).
tff(c_430,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_379]) ).
tff(c_655,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_428,c_2,c_377,c_180]) ).
tff(c_433,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_367]) ).
tff(c_693,plain,
! [Z_28] : ( multiply(sk_c8,multiply(sk_c1,Z_28)) = multiply(sk_c1,Z_28) ),
inference(demodulation,[status(thm),theory(equality)],[c_433,c_428,c_174]) ).
tff(c_708,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c1,Z_17)) = multiply(sk_c8,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_655,c_693]) ).
tff(c_723,plain,
! [Z_29] : ( multiply(sk_c8,Z_29) = Z_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_655,c_708]) ).
tff(c_741,plain,
! [Z_30] : ( multiply(inverse(sk_c8),Z_30) = Z_30 ),
inference(superposition,[status(thm),theory(equality)],[c_723,c_199]) ).
tff(c_758,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_741,c_4]) ).
tff(c_197,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_238,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_183]) ).
tff(c_253,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_118,c_238]) ).
tff(c_257,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_125]) ).
tff(c_74,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_76,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_74]) ).
tff(c_236,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_76]) ).
tff(c_237,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_236]) ).
tff(c_317,plain,
! [X4_20] :
( ( inverse(X4_20) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_20,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_257,c_237]) ).
tff(c_327,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_197,c_317]) ).
tff(c_346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_327]) ).
tff(c_347,plain,
! [X2_11,X5_6,X7_9] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_236]) ).
tff(c_426,plain,
! [X2_11,X5_6,X7_9] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_367,c_367,c_347]) ).
tff(c_427,plain,
! [X7_9] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_825,plain,
! [X7_32] :
( ( multiply(X7_32,identity) != sk_c1 )
| ( inverse(X7_32) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_428,c_758,c_428,c_427]) ).
tff(c_835,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_430,c_825]) ).
tff(c_852,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_432,c_835]) ).
tff(c_853,plain,
! [X5_6,X2_11] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_7972,plain,
! [X5_6,X2_11] :
( ( inverse(multiply(sk_c1,X5_6)) != identity )
| ( inverse(X2_11) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_11,sk_c1)) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_904,c_904,c_904,c_904,c_1259,c_1212,c_2320,c_1212,c_904,c_853]) ).
tff(c_7974,plain,
! [X2_117] :
( ( inverse(X2_117) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_117,sk_c1)) != sk_c1 ) ),
inference(splitLeft,[status(thm)],[c_7972]) ).
tff(c_8007,plain,
inverse(inverse(sk_c1)) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1252,c_7974]) ).
tff(c_8036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_911,c_911,c_8007]) ).
tff(c_8038,plain,
! [X5_118] : ( inverse(multiply(sk_c1,X5_118)) != identity ),
inference(splitRight,[status(thm)],[c_7972]) ).
tff(c_8065,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1259,c_8038]) ).
tff(c_8080,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1100,c_8065]) ).
tff(c_8081,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8082,plain,
multiply(sk_c8,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_8125,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_8082,c_16]) ).
tff(c_8160,plain,
! [X_119,Y_120,Z_121] : ( multiply(multiply(X_119,Y_120),Z_121) = multiply(X_119,multiply(Y_120,Z_121)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8211,plain,
! [X_2,Z_121] : ( multiply(inverse(X_2),multiply(X_2,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8160]) ).
tff(c_8418,plain,
! [X_126,Z_127] : ( multiply(inverse(X_126),multiply(X_126,Z_127)) = Z_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8211]) ).
tff(c_8448,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_8125,c_8418]) ).
tff(c_8472,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8081,c_8448]) ).
tff(c_8224,plain,
! [X_2,Z_121] : ( multiply(inverse(X_2),multiply(X_2,Z_121)) = Z_121 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8211]) ).
tff(c_8478,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_8472,c_8224]) ).
tff(c_8484,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8478]) ).
tff(c_8205,plain,
! [Z_121] : ( multiply(sk_c10,multiply(sk_c1,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_8160]) ).
tff(c_8320,plain,
! [Z_124] : ( multiply(sk_c10,multiply(sk_c1,Z_124)) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8205]) ).
tff(c_8338,plain,
multiply(sk_c10,sk_c2) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_118,c_8320]) ).
tff(c_8370,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_8338,c_125]) ).
tff(c_8391,plain,
multiply(sk_c8,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_8370,c_8082]) ).
tff(c_8533,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8484,c_8391]) ).
tff(c_8535,plain,
multiply(sk_c10,sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_8618,plain,
! [X_128,Y_129,Z_130] : ( multiply(multiply(X_128,Y_129),Z_130) = multiply(X_128,multiply(Y_129,Z_130)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8666,plain,
! [Z_130] : ( multiply(sk_c9,multiply(sk_c10,Z_130)) = multiply(identity,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_97,c_8618]) ).
tff(c_8684,plain,
! [Z_131] : ( multiply(sk_c9,multiply(sk_c10,Z_131)) = Z_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8666]) ).
tff(c_8705,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_108,c_8684]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_8555,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_8535,c_30]) ).
tff(c_8559,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8555,c_4]) ).
tff(c_8699,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_8559,c_8684]) ).
tff(c_8749,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8705,c_8699]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_8588,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_8535,c_28]) ).
tff(c_8750,plain,
multiply(sk_c1,sk_c10) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_8749,c_8588]) ).
tff(c_8753,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_8750]) ).
tff(c_26,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_8605,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_8535,c_26]) ).
tff(c_8761,plain,
multiply(sk_c10,sk_c2) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_8753,c_8605]) ).
tff(c_8763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8535,c_8761]) ).
tff(c_8764,plain,
inverse(sk_c3) = sk_c10,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_8769,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8764,c_4]) ).
tff(c_9219,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_8769,c_9201]) ).
tff(c_9251,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9222,c_9219]) ).
tff(c_8765,plain,
multiply(sk_c1,sk_c10) != sk_c2,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_9098,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_8765,c_44]) ).
tff(c_9252,plain,
multiply(sk_c1,sk_c10) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_9251,c_9098]) ).
tff(c_9177,plain,
! [Z_141] : ( multiply(sk_c10,multiply(sk_c3,Z_141)) = multiply(identity,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_8769,c_9138]) ).
tff(c_9196,plain,
! [Z_141] : ( multiply(sk_c10,multiply(sk_c3,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9177]) ).
tff(c_9423,plain,
! [Z_147] : ( multiply(sk_c10,multiply(sk_c1,Z_147)) = Z_147 ),
inference(demodulation,[status(thm),theory(equality)],[c_9251,c_9196]) ).
tff(c_9438,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_9252,c_9423]) ).
tff(c_42,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_9119,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_8765,c_42]) ).
tff(c_9445,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_9438,c_9119]) ).
tff(c_9458,plain,
multiply(sk_c10,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9445,c_9222]) ).
tff(c_9465,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_9445,c_8]) ).
tff(c_10361,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9465,c_4]) ).
tff(c_10419,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_10361,c_10398]) ).
tff(c_10451,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9458,c_9465,c_10419]) ).
tff(c_10458,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10451,c_10451,c_9465]) ).
tff(c_10806,plain,
! [X_171,Z_141] : ( multiply(X_171,multiply(inverse(X_171),Z_141)) = Z_141 ),
inference(superposition,[status(thm),theory(equality)],[c_9199,c_10769]) ).
tff(c_8855,plain,
! [X_133,Y_134,Z_135] : ( multiply(multiply(X_133,Y_134),Z_135) = multiply(X_133,multiply(Y_134,Z_135)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8903,plain,
! [Z_135] : ( multiply(sk_c9,multiply(sk_c10,Z_135)) = multiply(identity,Z_135) ),
inference(superposition,[status(thm),theory(equality)],[c_97,c_8855]) ).
tff(c_8921,plain,
! [Z_136] : ( multiply(sk_c9,multiply(sk_c10,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8903]) ).
tff(c_8945,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_108,c_8921]) ).
tff(c_8942,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_8769,c_8921]) ).
tff(c_9008,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_8945,c_8942]) ).
tff(c_8785,plain,
multiply(sk_c10,sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_8939,plain,
multiply(sk_c9,sk_c9) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_8785,c_8921]) ).
tff(c_8834,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_8765,c_42]) ).
tff(c_8933,plain,
multiply(sk_c9,sk_c9) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_8834,c_8921]) ).
tff(c_8980,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_8939,c_8933]) ).
tff(c_8823,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_8765,c_44]) ).
tff(c_8989,plain,
multiply(sk_c3,sk_c10) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_8980,c_8823]) ).
tff(c_9061,plain,
multiply(sk_c1,sk_c10) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9008,c_8989]) ).
tff(c_9062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8765,c_9061]) ).
tff(c_9063,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_9068,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9063,c_4]) ).
tff(c_9216,plain,
multiply(sk_c9,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9068,c_9201]) ).
tff(c_9241,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9222,c_9216]) ).
tff(c_9064,plain,
multiply(sk_c10,sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_40,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_9108,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_9064,c_40]) ).
tff(c_9242,plain,
multiply(sk_c1,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_9241,c_9108]) ).
tff(c_9441,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_9242,c_9423]) ).
tff(c_10390,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10361,c_9441]) ).
tff(c_9198,plain,
! [Z_141] : ( multiply(sk_c9,multiply(sk_c10,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9183]) ).
tff(c_9449,plain,
multiply(sk_c9,sk_c10) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_9438,c_9198]) ).
tff(c_9455,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_9449]) ).
tff(c_9165,plain,
! [Z_141] : ( multiply(sk_c3,multiply(sk_c10,Z_141)) = multiply(sk_c4,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_9098,c_9138]) ).
tff(c_10521,plain,
! [Z_141] : ( multiply(sk_c1,multiply(sk_c1,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_10451,c_2,c_9251,c_9455,c_9165]) ).
tff(c_10443,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10398]) ).
tff(c_10776,plain,
! [X_171] : ( multiply(X_171,identity) = X_171 ),
inference(superposition,[status(thm),theory(equality)],[c_10769,c_10443]) ).
tff(c_11064,plain,
! [X_178,Y_179,Z_180] : ( multiply(inverse(multiply(X_178,Y_179)),multiply(X_178,multiply(Y_179,Z_180))) = Z_180 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_10398]) ).
tff(c_11112,plain,
! [X_178,X_171] : ( multiply(inverse(multiply(X_178,X_171)),multiply(X_178,identity)) = inverse(X_171) ),
inference(superposition,[status(thm),theory(equality)],[c_10790,c_11064]) ).
tff(c_11740,plain,
! [X_190,X_191] : ( multiply(inverse(multiply(X_190,X_191)),X_190) = inverse(X_191) ),
inference(demodulation,[status(thm),theory(equality)],[c_10776,c_11112]) ).
tff(c_11845,plain,
! [Z_141] : ( multiply(inverse(Z_141),sk_c1) = inverse(multiply(sk_c1,Z_141)) ),
inference(superposition,[status(thm),theory(equality)],[c_10521,c_11740]) ).
tff(c_9482,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9465,c_4]) ).
tff(c_9520,plain,
! [X_148,Z_149] : ( multiply(inverse(X_148),multiply(X_148,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9186]) ).
tff(c_9538,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_9482,c_9520]) ).
tff(c_9572,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9458,c_9465,c_9538]) ).
tff(c_9913,plain,
! [X_155,Z_156] : ( multiply(inverse(inverse(X_155)),Z_156) = multiply(X_155,Z_156) ),
inference(superposition,[status(thm),theory(equality)],[c_9520,c_9199]) ).
tff(c_9565,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9520]) ).
tff(c_9920,plain,
! [X_155] : ( multiply(X_155,identity) = X_155 ),
inference(superposition,[status(thm),theory(equality)],[c_9913,c_9565]) ).
tff(c_9511,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9482,c_9441]) ).
tff(c_9304,plain,
! [Z_141] : ( multiply(sk_c10,multiply(sk_c1,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_9251,c_9196]) ).
tff(c_9305,plain,
! [Z_144] : ( multiply(sk_c10,multiply(sk_c1,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_9251,c_9196]) ).
tff(c_9320,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_9252,c_9305]) ).
tff(c_9327,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_9320,c_9119]) ).
tff(c_8779,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_9262,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8779,c_76]) ).
tff(c_9263,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_9262]) ).
tff(c_9360,plain,
! [X4_145] :
( ( inverse(X4_145) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_145,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9327,c_9263]) ).
tff(c_9364,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_9304,c_9360]) ).
tff(c_9380,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_9364]) ).
tff(c_9381,plain,
! [X2_11,X5_6,X7_9] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c9 )
| ( multiply(inverse(X5_6),sk_c9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_9262]) ).
tff(c_9477,plain,
! [X2_11,X5_6,X7_9] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9445,c_9445,c_9381]) ).
tff(c_9478,plain,
! [X7_9] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_9477]) ).
tff(c_10354,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9572,c_9920,c_9572,c_9511,c_9478]) ).
tff(c_9580,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9572,c_9572,c_9465]) ).
tff(c_10356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10354,c_9580]) ).
tff(c_10357,plain,
! [X5_6,X2_11] :
( ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_9477]) ).
tff(c_36016,plain,
! [X5_6,X2_11] :
( ( inverse(multiply(sk_c1,X5_6)) != identity )
| ( inverse(X2_11) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_11,sk_c1)) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10451,c_10451,c_10451,c_10451,c_10790,c_10390,c_11845,c_10451,c_10390,c_10357]) ).
tff(c_36018,plain,
! [X2_330] :
( ( inverse(X2_330) != sk_c1 )
| ( multiply(sk_c1,multiply(X2_330,sk_c1)) != sk_c1 ) ),
inference(splitLeft,[status(thm)],[c_36016]) ).
tff(c_36074,plain,
inverse(inverse(sk_c1)) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_10806,c_36018]) ).
tff(c_36108,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10458,c_10458,c_36074]) ).
tff(c_36110,plain,
! [X5_331] : ( inverse(multiply(sk_c1,X5_331)) != identity ),
inference(splitRight,[status(thm)],[c_36016]) ).
tff(c_36140,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_10790,c_36110]) ).
tff(c_36158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10711,c_36140]) ).
tff(c_36160,plain,
multiply(sk_c8,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_10,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_36489,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36160,c_10]) ).
tff(c_36515,plain,
! [X_338,Y_339,Z_340] : ( multiply(multiply(X_338,Y_339),Z_340) = multiply(X_338,multiply(Y_339,Z_340)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36557,plain,
! [Z_340] : ( multiply(sk_c9,multiply(sk_c10,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_97,c_36515]) ).
tff(c_36575,plain,
! [Z_341] : ( multiply(sk_c9,multiply(sk_c10,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36557]) ).
tff(c_36596,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_108,c_36575]) ).
tff(c_36593,plain,
multiply(sk_c9,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_8769,c_36575]) ).
tff(c_36641,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36596,c_36593]) ).
tff(c_36475,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_8765,c_44]) ).
tff(c_36651,plain,
multiply(sk_c1,sk_c10) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_36641,c_36475]) ).
tff(c_36560,plain,
! [X_2,Z_340] : ( multiply(inverse(X_2),multiply(X_2,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36515]) ).
tff(c_36759,plain,
! [X_346,Z_347] : ( multiply(inverse(X_346),multiply(X_346,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36560]) ).
tff(c_36792,plain,
multiply(inverse(sk_c1),sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36651,c_36759]) ).
tff(c_36849,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36489,c_104,c_36792]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_36480,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_8765,c_48]) ).
tff(c_36159,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_36164,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36159,c_4]) ).
tff(c_36548,plain,
! [Z_340] : ( multiply(sk_c6,multiply(sk_c5,Z_340)) = multiply(identity,Z_340) ),
inference(superposition,[status(thm),theory(equality)],[c_36164,c_36515]) ).
tff(c_36713,plain,
! [Z_344] : ( multiply(sk_c6,multiply(sk_c5,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36548]) ).
tff(c_36725,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36480,c_36713]) ).
tff(c_36780,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36725,c_36759]) ).
tff(c_36848,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36780]) ).
tff(c_36864,plain,
multiply(identity,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_36848,c_36160]) ).
tff(c_36867,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36864]) ).
tff(c_36885,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36849,c_36867]) ).
tff(c_36887,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_60,plain,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_36933,plain,
multiply(sk_c3,sk_c10) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_36887,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_36921,plain,
inverse(sk_c3) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36887,c_62]) ).
tff(c_36925,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36921,c_4]) ).
tff(c_37012,plain,
! [Z_350] : ( multiply(sk_c10,multiply(sk_c3,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_36925,c_36982]) ).
tff(c_37038,plain,
! [Z_351] : ( multiply(sk_c10,multiply(sk_c3,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37012]) ).
tff(c_37050,plain,
multiply(sk_c10,sk_c4) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_36933,c_37038]) ).
tff(c_58,plain,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_36951,plain,
multiply(sk_c10,sk_c4) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_36887,c_58]) ).
tff(c_37054,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37050,c_36951]) ).
tff(c_37063,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37054,c_97]) ).
tff(c_36886,plain,
inverse(sk_c7) = sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_72,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_36940,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_36887,c_72]) ).
tff(c_37184,plain,
multiply(inverse(sk_c7),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36940,c_37142]) ).
tff(c_37219,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37063,c_36886,c_37184]) ).
tff(c_37064,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37054,c_8]) ).
tff(c_37172,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_37050,c_37142]) ).
tff(c_37216,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37063,c_37064,c_37172]) ).
tff(c_37233,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37216,c_37050]) ).
tff(c_37190,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_36925,c_37142]) ).
tff(c_37221,plain,
multiply(sk_c10,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_37064,c_37190]) ).
tff(c_37339,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37233,c_37221]) ).
tff(c_37009,plain,
! [Z_350] : ( multiply(sk_c3,multiply(sk_c10,Z_350)) = multiply(sk_c4,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_36933,c_36982]) ).
tff(c_37417,plain,
! [Z_350] : ( multiply(sk_c10,multiply(sk_c10,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_37339,c_2,c_37216,c_37009]) ).
tff(c_37884,plain,
! [X_366,Y_367,Z_368] : ( multiply(inverse(multiply(X_366,Y_367)),multiply(X_366,multiply(Y_367,Z_368))) = Z_368 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_37142]) ).
tff(c_37932,plain,
! [X_366,X_359] : ( multiply(inverse(multiply(X_366,X_359)),multiply(X_366,identity)) = inverse(X_359) ),
inference(superposition,[status(thm),theory(equality)],[c_37610,c_37884]) ).
tff(c_38557,plain,
! [X_378,X_379] : ( multiply(inverse(multiply(X_378,X_379)),X_378) = inverse(X_379) ),
inference(demodulation,[status(thm),theory(equality)],[c_37596,c_37932]) ).
tff(c_38662,plain,
! [Z_350] : ( multiply(inverse(Z_350),sk_c10) = inverse(multiply(sk_c10,Z_350)) ),
inference(superposition,[status(thm),theory(equality)],[c_37417,c_38557]) ).
tff(c_36902,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_36886,c_4]) ).
tff(c_37018,plain,
! [Z_350] : ( multiply(sk_c10,multiply(sk_c7,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_36902,c_36982]) ).
tff(c_37094,plain,
! [Z_352] : ( multiply(sk_c10,multiply(sk_c7,Z_352)) = Z_352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37018]) ).
tff(c_37106,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36940,c_37094]) ).
tff(c_37110,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37063,c_37106]) ).
tff(c_37076,plain,
! [X7_9,X5_6,X2_11,X4_12] :
( ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( multiply(sk_c8,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37054,c_37054,c_37054,c_37054,c_76]) ).
tff(c_37077,plain,
multiply(sk_c8,sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_37076]) ).
tff(c_37111,plain,
multiply(identity,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_37110,c_37077]) ).
tff(c_37117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37111]) ).
tff(c_37118,plain,
! [X4_12,X2_11,X5_6,X7_9] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( multiply(inverse(X5_6),sk_c10) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( multiply(X7_9,sk_c8) != sk_c10 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_37076]) ).
tff(c_45317,plain,
! [X4_12,X2_11,X5_6,X7_9] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 )
| ( inverse(multiply(sk_c10,X5_6)) != identity )
| ( sk_c10 != X7_9 )
| ( inverse(X7_9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37596,c_37219,c_37610,c_37219,c_38662,c_37219,c_37118]) ).
tff(c_45319,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_45317]) ).
tff(c_45321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45319,c_37064]) ).
tff(c_45322,plain,
! [X5_6,X4_12,X2_11] :
( ( inverse(multiply(sk_c10,X5_6)) != identity )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_11,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_45317]) ).
tff(c_419030,plain,
! [X2_1116] :
( ( inverse(X2_1116) != sk_c10 )
| ( multiply(sk_c10,multiply(X2_1116,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_45322]) ).
tff(c_419151,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37623,c_419030]) ).
tff(c_419199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37693,c_419151]) ).
tff(c_419200,plain,
! [X4_12,X5_6] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_12,sk_c10)) != sk_c10 )
| ( inverse(multiply(sk_c10,X5_6)) != identity ) ),
inference(splitRight,[status(thm)],[c_45322]) ).
tff(c_419202,plain,
! [X5_1117] : ( inverse(multiply(sk_c10,X5_1117)) != identity ),
inference(splitLeft,[status(thm)],[c_419200]) ).
tff(c_419273,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_37610,c_419202]) ).
tff(c_419301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37533,c_419273]) ).
tff(c_419304,plain,
! [X4_1118] :
( ( inverse(X4_1118) != sk_c10 )
| ( multiply(sk_c10,multiply(X4_1118,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_419200]) ).
tff(c_419425,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_37623,c_419304]) ).
tff(c_419473,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37693,c_419425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP388-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:19:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 119.29/105.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 119.39/105.07
% 119.39/105.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 119.67/105.12
% 119.67/105.12 Inference rules
% 119.67/105.12 ----------------------
% 119.67/105.12 #Ref : 0
% 119.67/105.12 #Sup : 98620
% 119.67/105.12 #Fact : 0
% 119.67/105.12 #Define : 0
% 119.67/105.12 #Split : 20
% 119.67/105.12 #Chain : 0
% 119.67/105.12 #Close : 0
% 119.67/105.12
% 119.67/105.12 Ordering : KBO
% 119.67/105.12
% 119.67/105.12 Simplification rules
% 119.67/105.12 ----------------------
% 119.67/105.12 #Subsume : 10
% 119.67/105.12 #Demod : 536703
% 119.67/105.12 #Tautology : 82305
% 119.67/105.12 #SimpNegUnit : 82
% 119.67/105.12 #BackRed : 268
% 119.67/105.12
% 119.67/105.12 #Partial instantiations: 0
% 119.67/105.12 #Strategies tried : 1
% 119.67/105.12
% 119.67/105.12 Timing (in seconds)
% 119.67/105.12 ----------------------
% 119.67/105.13 Preprocessing : 0.50
% 119.67/105.13 Parsing : 0.20
% 119.67/105.13 CNF conversion : 0.02
% 119.67/105.13 Main loop : 103.50
% 119.67/105.13 Inferencing : 10.66
% 119.67/105.13 Reduction : 84.23
% 119.67/105.13 Demodulation : 82.25
% 119.67/105.13 BG Simplification : 0.67
% 119.67/105.13 Subsumption : 5.91
% 119.67/105.13 Abstraction : 3.20
% 119.67/105.13 MUC search : 0.00
% 119.67/105.13 Cooper : 0.00
% 119.67/105.13 Total : 104.12
% 119.67/105.13 Index Insertion : 0.00
% 119.67/105.13 Index Deletion : 0.00
% 119.67/105.13 Index Matching : 0.00
% 119.67/105.13 BG Taut test : 0.00
%------------------------------------------------------------------------------