TSTP Solution File: GRP325-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:56 EDT 2023
% Result : Unsatisfiable 33.22s 21.93s
% Output : CNFRefutation 33.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 55
% Syntax : Number of formulae : 731 ( 593 unt; 13 typ; 0 def)
% Number of atoms : 1046 (1011 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 684 ( 356 ~; 328 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 337 (; 337 !; 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_63,axiom,
multiply(sk_c9,sk_c10) = sk_c8,
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_165,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_195,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_243,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( multiply(sk_c9,sk_c10) != sk_c8 )
| ( multiply(X4,sk_c9) != sk_c10 )
| ( inverse(X4) != sk_c9 )
| ( multiply(sk_c10,X5) != sk_c9 )
| ( multiply(X6,sk_c10) != X5 )
| ( inverse(X6) != sk_c10 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( inverse(sk_c9) != sk_c8 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X3) != X7 )
| ( inverse(X7) != sk_c10 )
| ( multiply(X3,sk_c10) != X7 ) ),
file(unknown,unknown) ).
tff(f_153,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_159,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_162,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_168,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_156,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_171,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c7,sk_c10) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_129,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_147,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c3 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_138,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_126,axiom,
( ( multiply(sk_c10,sk_c3) = sk_c9 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c6) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c7,sk_c10) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_180,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_174,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_177,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_192,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_189,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_186,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_183,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_198,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c10) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_8,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_127199,plain,
! [X_671,Y_672,Z_673] : ( multiply(multiply(X_671,Y_672),Z_673) = multiply(X_671,multiply(Y_672,Z_673)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_127244,plain,
! [X_2,Z_673] : ( multiply(inverse(X_2),multiply(X_2,Z_673)) = multiply(identity,Z_673) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_127199]) ).
tff(c_129628,plain,
! [X_716,Z_717] : ( multiply(inverse(X_716),multiply(X_716,Z_717)) = Z_717 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127244]) ).
tff(c_127261,plain,
! [X_2,Z_673] : ( multiply(inverse(X_2),multiply(X_2,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127244]) ).
tff(c_130018,plain,
! [X_721,Z_722] : ( multiply(inverse(inverse(X_721)),Z_722) = multiply(X_721,Z_722) ),
inference(superposition,[status(thm),theory(equality)],[c_129628,c_127261]) ).
tff(c_129694,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129628]) ).
tff(c_130025,plain,
! [X_721] : ( multiply(X_721,identity) = X_721 ),
inference(superposition,[status(thm),theory(equality)],[c_130018,c_129694]) ).
tff(c_76,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_123262,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_96,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_123,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_127,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123,c_4]) ).
tff(c_123355,plain,
! [X_604,Y_605,Z_606] : ( multiply(multiply(X_604,Y_605),Z_606) = multiply(X_604,multiply(Y_605,Z_606)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_123406,plain,
! [Z_606] : ( multiply(sk_c10,multiply(sk_c2,Z_606)) = multiply(identity,Z_606) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_123355]) ).
tff(c_123442,plain,
! [Z_608] : ( multiply(sk_c10,multiply(sk_c2,Z_608)) = Z_608 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123406]) ).
tff(c_123454,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_123262,c_123442]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_123255,plain,
multiply(sk_c10,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_123458,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123454,c_123255]) ).
tff(c_123510,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_123458,c_8]) ).
tff(c_24,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_156,plain,
multiply(sk_c1,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_40,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_136,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_140,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_136,c_4]) ).
tff(c_25425,plain,
! [X_216,Y_217,Z_218] : ( multiply(multiply(X_216,Y_217),Z_218) = multiply(X_216,multiply(Y_217,Z_218)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_25470,plain,
! [Z_218] : ( multiply(sk_c9,multiply(sk_c1,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_25425]) ).
tff(c_25496,plain,
! [Z_219] : ( multiply(sk_c9,multiply(sk_c1,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25470]) ).
tff(c_25508,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_156,c_25496]) ).
tff(c_25512,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25508]) ).
tff(c_25525,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25512,c_8]) ).
tff(c_25476,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = multiply(identity,Z_218) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25425]) ).
tff(c_25494,plain,
! [X_2,Z_218] : ( multiply(inverse(X_2),multiply(X_2,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25476]) ).
tff(c_25669,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25525,c_25494]) ).
tff(c_25675,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25669]) ).
tff(c_24111,plain,
! [X_197,Y_198,Z_199] : ( multiply(multiply(X_197,Y_198),Z_199) = multiply(X_197,multiply(Y_198,Z_199)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24159,plain,
! [Z_199] : ( multiply(sk_c9,multiply(sk_c1,Z_199)) = multiply(identity,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_24111]) ).
tff(c_24185,plain,
! [Z_200] : ( multiply(sk_c9,multiply(sk_c1,Z_200)) = Z_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24159]) ).
tff(c_24197,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_156,c_24185]) ).
tff(c_24201,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_24197]) ).
tff(c_202,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_226,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_202]) ).
tff(c_247,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_226]) ).
tff(c_259,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_156,c_247]) ).
tff(c_263,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_259]) ).
tff(c_269,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_263,c_8]) ).
tff(c_232,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_202]) ).
tff(c_523,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_232]) ).
tff(c_556,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_269,c_523]) ).
tff(c_583,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_556]) ).
tff(c_162,plain,
multiply(sk_c10,sk_c3) = sk_c9,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_265,plain,
multiply(sk_c10,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_263,c_162]) ).
tff(c_168,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_565,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_168,c_523]) ).
tff(c_584,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_265,c_123,c_565]) ).
tff(c_229,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_202]) ).
tff(c_311,plain,
! [Z_19] : ( multiply(sk_c10,multiply(sk_c2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_323,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_168,c_311]) ).
tff(c_329,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_323,c_265]) ).
tff(c_340,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_329,c_269]) ).
tff(c_400,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_232]) ).
tff(c_421,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_340,c_400]) ).
tff(c_452,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_421]) ).
tff(c_268,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_263,c_136]) ).
tff(c_341,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_268]) ).
tff(c_381,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_341,c_4]) ).
tff(c_480,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_452,c_381]) ).
tff(c_465,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_452,c_341]) ).
tff(c_489,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_480,c_465]) ).
tff(c_100,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 )
| ( multiply(sk_c9,sk_c10) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_102,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( inverse(sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_100]) ).
tff(c_327,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(sk_c10,sk_c8) != sk_c8 )
| ( inverse(sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c8 )
| ( inverse(X4_12) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_263,c_263,c_263,c_263,c_263,c_263,c_263,c_263,c_102]) ).
tff(c_328,plain,
inverse(sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_327]) ).
tff(c_337,plain,
inverse(sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_329,c_329,c_328]) ).
tff(c_464,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_452,c_452,c_337]) ).
tff(c_513,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_489,c_464]) ).
tff(c_515,plain,
inverse(sk_c8) = sk_c8,
inference(splitRight,[status(thm)],[c_327]) ).
tff(c_586,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_584,c_584,c_515]) ).
tff(c_632,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_583,c_583,c_586]) ).
tff(c_245,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_232]) ).
tff(c_763,plain,
! [X_26,Z_27] : ( multiply(inverse(inverse(X_26)),Z_27) = multiply(X_26,Z_27) ),
inference(superposition,[status(thm),theory(equality)],[c_245,c_523]) ).
tff(c_574,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_523]) ).
tff(c_770,plain,
! [X_26] : ( multiply(X_26,identity) = X_26 ),
inference(superposition,[status(thm),theory(equality)],[c_763,c_574]) ).
tff(c_602,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_583,c_584]) ).
tff(c_514,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(sk_c10,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(splitRight,[status(thm)],[c_327]) ).
tff(c_8630,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(X4_12) != identity )
| ( identity != X4_12 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity )
| ( inverse(X3_8) != identity )
| ( inverse(X3_8) != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_770,c_583,c_770,c_583,c_583,c_602,c_770,c_602,c_602,c_770,c_602,c_583,c_583,c_770,c_602,c_583,c_2,c_583,c_583,c_770,c_602,c_583,c_602,c_2,c_583,c_514]) ).
tff(c_8632,plain,
! [X3_115] :
( ( inverse(X3_115) != identity )
| ( inverse(X3_115) != X3_115 ) ),
inference(splitLeft,[status(thm)],[c_8630]) ).
tff(c_8640,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_632,c_8632]) ).
tff(c_8647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_632,c_8640]) ).
tff(c_8648,plain,
! [X2_11,X1_10,X6_7,X4_12] :
( ( identity != X2_11 )
| ( inverse(X2_11) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_12) != identity )
| ( identity != X4_12 ) ),
inference(splitRight,[status(thm)],[c_8630]) ).
tff(c_22073,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8648]) ).
tff(c_22075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22073,c_632]) ).
tff(c_22076,plain,
! [X6_7,X1_10,X2_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_8648]) ).
tff(c_23223,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22076]) ).
tff(c_23225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23223,c_632]) ).
tff(c_23226,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_22076]) ).
tff(c_23228,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23226]) ).
tff(c_23230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23228,c_632]) ).
tff(c_24006,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_23226]) ).
tff(c_24008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24006,c_632]) ).
tff(c_24010,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_68,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_24026,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_24010,c_68]) ).
tff(c_24030,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24026,c_4]) ).
tff(c_24237,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_24030]) ).
tff(c_72,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_24071,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24010,c_72]) ).
tff(c_24236,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_24071]) ).
tff(c_74,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_24083,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24010,c_74]) ).
tff(c_24234,plain,
multiply(sk_c5,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_24083]) ).
tff(c_24165,plain,
! [X_2,Z_199] : ( multiply(inverse(X_2),multiply(X_2,Z_199)) = multiply(identity,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24111]) ).
tff(c_24183,plain,
! [X_2,Z_199] : ( multiply(inverse(X_2),multiply(X_2,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24165]) ).
tff(c_24476,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24234,c_24183]) ).
tff(c_24482,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24237,c_24236,c_24476]) ).
tff(c_24238,plain,
inverse(sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_24026]) ).
tff(c_24492,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24482,c_24482,c_24238]) ).
tff(c_78,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_24055,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_24010,c_78]) ).
tff(c_24009,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_24014,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24009,c_4]) ).
tff(c_24327,plain,
! [X_202,Z_203] : ( multiply(inverse(X_202),multiply(X_202,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24165]) ).
tff(c_24381,plain,
multiply(inverse(sk_c6),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24014,c_24327]) ).
tff(c_24404,plain,
multiply(sk_c10,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24055,c_24381]) ).
tff(c_24277,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(sk_c10,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c8 )
| ( inverse(X4_12) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_24201,c_24201,c_24201,c_24238,c_24201,c_24201,c_24201,c_24201,c_102]) ).
tff(c_24278,plain,
multiply(sk_c10,sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_24277]) ).
tff(c_70,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_24090,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24010,c_70]) ).
tff(c_24233,plain,
multiply(sk_c10,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_24090]) ).
tff(c_24309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24278,c_24233]) ).
tff(c_24311,plain,
multiply(sk_c10,sk_c8) = sk_c8,
inference(splitRight,[status(thm)],[c_24277]) ).
tff(c_24562,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24482,c_24404,c_24482,c_24311]) ).
tff(c_24566,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24562,c_24009]) ).
tff(c_24568,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24492,c_24566]) ).
tff(c_80,plain,
( ( multiply(sk_c7,sk_c10) = sk_c6 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_24104,plain,
multiply(sk_c7,sk_c10) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24010,c_80]) ).
tff(c_24564,plain,
multiply(identity,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24562,c_24104]) ).
tff(c_24567,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24564]) ).
tff(c_24580,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24568,c_24567]) ).
tff(c_24619,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24580,c_123]) ).
tff(c_24643,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24619,c_4]) ).
tff(c_24708,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24643,c_24183]) ).
tff(c_24720,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24708]) ).
tff(c_24239,plain,
multiply(sk_c10,sk_c3) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24201,c_162]) ).
tff(c_24488,plain,
multiply(sk_c10,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24482,c_24239]) ).
tff(c_24674,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24580,c_24488]) ).
tff(c_24617,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_24580,c_24010]) ).
tff(c_24734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24720,c_24674,c_24617]) ).
tff(c_24735,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_25697,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25675,c_24735]) ).
tff(c_24843,plain,
! [X_207,Y_208,Z_209] : ( multiply(multiply(X_207,Y_208),Z_209) = multiply(X_207,multiply(Y_208,Z_209)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24891,plain,
! [Z_209] : ( multiply(sk_c9,multiply(sk_c1,Z_209)) = multiply(identity,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_24843]) ).
tff(c_24917,plain,
! [Z_210] : ( multiply(sk_c9,multiply(sk_c1,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24891]) ).
tff(c_24929,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_156,c_24917]) ).
tff(c_24933,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_24929]) ).
tff(c_25039,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24933,c_8]) ).
tff(c_24897,plain,
! [X_2,Z_209] : ( multiply(inverse(X_2),multiply(X_2,Z_209)) = multiply(identity,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24843]) ).
tff(c_25153,plain,
! [X_213,Z_214] : ( multiply(inverse(X_213),multiply(X_213,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24897]) ).
tff(c_25201,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25039,c_25153]) ).
tff(c_25257,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25201]) ).
tff(c_24736,plain,
multiply(sk_c10,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_52,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_24816,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24736,c_52]) ).
tff(c_25030,plain,
multiply(sk_c10,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24933,c_24816]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_24824,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_24736,c_46]) ).
tff(c_25029,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24933,c_24824]) ).
tff(c_25186,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_25029,c_25153]) ).
tff(c_25253,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25030,c_24735,c_25186]) ).
tff(c_25322,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25257,c_25253]) ).
tff(c_24766,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_24894,plain,
! [Z_209] : ( multiply(sk_c10,multiply(sk_c2,Z_209)) = multiply(identity,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_24843]) ).
tff(c_25129,plain,
! [Z_212] : ( multiply(sk_c10,multiply(sk_c2,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24894]) ).
tff(c_25141,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_24766,c_25129]) ).
tff(c_25035,plain,
multiply(sk_c10,sk_c3) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24933,c_24736]) ).
tff(c_25145,plain,
sk_c8 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_25141,c_25035]) ).
tff(c_25262,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25257,c_25145]) ).
tff(c_25342,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25322,c_25262]) ).
tff(c_25344,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_25393,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_25344,c_64]) ).
tff(c_25516,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25512,c_25393]) ).
tff(c_25779,plain,
multiply(sk_c4,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25675,c_25516]) ).
tff(c_25783,plain,
multiply(inverse(sk_c4),sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25779,c_25494]) ).
tff(c_25789,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25697,c_25783]) ).
tff(c_25343,plain,
inverse(sk_c9) = sk_c8,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_25520,plain,
inverse(sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25512,c_25343]) ).
tff(c_25796,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25789,c_25789,c_25520]) ).
tff(c_25578,plain,
! [X_220,Z_221] : ( multiply(inverse(X_220),multiply(X_220,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_25476]) ).
tff(c_26050,plain,
! [X_225,Z_226] : ( multiply(inverse(inverse(X_225)),Z_226) = multiply(X_225,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_25578,c_25494]) ).
tff(c_25635,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25578]) ).
tff(c_26057,plain,
! [X_225] : ( multiply(X_225,identity) = X_225 ),
inference(superposition,[status(thm),theory(equality)],[c_26050,c_25635]) ).
tff(c_25530,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(sk_c10,sk_c8) != sk_c8 )
| ( inverse(sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c8 )
| ( inverse(X4_12) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25512,c_25512,c_25512,c_25512,c_25512,c_25512,c_25512,c_25512,c_102]) ).
tff(c_25531,plain,
inverse(sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_25530]) ).
tff(c_25553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25531,c_25520]) ).
tff(c_25554,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(sk_c10,sk_c8) != sk_c8 )
| ( inverse(X4_12) != sk_c8 )
| ( multiply(X4_12,sk_c8) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(splitRight,[status(thm)],[c_25530]) ).
tff(c_33947,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(X4_12) != identity )
| ( identity != X4_12 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity )
| ( inverse(X3_8) != identity )
| ( inverse(X3_8) != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26057,c_25675,c_26057,c_25675,c_25675,c_25789,c_26057,c_25789,c_25789,c_26057,c_25789,c_25675,c_25675,c_26057,c_25789,c_25675,c_2,c_25675,c_25675,c_26057,c_25789,c_25675,c_25789,c_2,c_25675,c_25554]) ).
tff(c_33949,plain,
! [X3_314] :
( ( inverse(X3_314) != identity )
| ( inverse(X3_314) != X3_314 ) ),
inference(splitLeft,[status(thm)],[c_33947]) ).
tff(c_33957,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_25796,c_33949]) ).
tff(c_33964,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25796,c_33957]) ).
tff(c_33965,plain,
! [X2_11,X1_10,X6_7,X4_12] :
( ( identity != X2_11 )
| ( inverse(X2_11) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X4_12) != identity )
| ( identity != X4_12 ) ),
inference(splitRight,[status(thm)],[c_33947]) ).
tff(c_123223,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_33965]) ).
tff(c_123225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123223,c_25796]) ).
tff(c_123226,plain,
! [X6_7,X1_10,X2_11] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_33965]) ).
tff(c_123228,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_123226]) ).
tff(c_123230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123228,c_25796]) ).
tff(c_123231,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_123226]) ).
tff(c_123234,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_123231]) ).
tff(c_123236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123234,c_25796]) ).
tff(c_123238,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_123231]) ).
tff(c_123240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123238,c_25796]) ).
tff(c_123242,plain,
multiply(sk_c1,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_12,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_123300,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_123242,c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_123327,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_123242,c_10]) ).
tff(c_123502,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123458,c_123327]) ).
tff(c_123409,plain,
! [X_2,Z_606] : ( multiply(inverse(X_2),multiply(X_2,Z_606)) = multiply(identity,Z_606) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_123355]) ).
tff(c_123594,plain,
! [X_610,Z_611] : ( multiply(inverse(X_610),multiply(X_610,Z_611)) = Z_611 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123409]) ).
tff(c_123612,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_123502,c_123594]) ).
tff(c_123673,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123510,c_123300,c_123612]) ).
tff(c_14,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_123312,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_123242,c_14]) ).
tff(c_123504,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_123458,c_123312]) ).
tff(c_123518,plain,
multiply(sk_c8,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123504,c_4]) ).
tff(c_123712,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_123673,c_123518]) ).
tff(c_123241,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_123286,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_123242,c_22]) ).
tff(c_123290,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123286,c_4]) ).
tff(c_123645,plain,
multiply(inverse(sk_c6),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_123290,c_123594]) ).
tff(c_123679,plain,
multiply(sk_c10,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_123241,c_123645]) ).
tff(c_123685,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123673,c_123504]) ).
tff(c_123427,plain,
! [X_2,Z_606] : ( multiply(inverse(X_2),multiply(X_2,Z_606)) = Z_606 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123409]) ).
tff(c_123716,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_123712,c_123427]) ).
tff(c_123722,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123679,c_123685,c_123716]) ).
tff(c_26,plain,
( ( multiply(sk_c7,sk_c10) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_123342,plain,
multiply(sk_c7,sk_c10) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_123242,c_26]) ).
tff(c_123726,plain,
multiply(sk_c10,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_123722,c_123342]) ).
tff(c_123729,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_123712,c_123726]) ).
tff(c_123728,plain,
inverse(sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_123722,c_123286]) ).
tff(c_123730,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123685,c_123728]) ).
tff(c_123741,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_123729,c_123730]) ).
tff(c_123509,plain,
inverse(sk_c1) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123458,c_136]) ).
tff(c_123525,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123509,c_4]) ).
tff(c_123804,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123741,c_123525]) ).
tff(c_123507,plain,
multiply(sk_c1,sk_c10) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_123458,c_123242]) ).
tff(c_123890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_123804,c_123741,c_123741,c_123507]) ).
tff(c_123891,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_123896,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123891,c_4]) ).
tff(c_123246,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123241,c_4]) ).
tff(c_123990,plain,
! [X_614,Y_615,Z_616] : ( multiply(multiply(X_614,Y_615),Z_616) = multiply(X_614,multiply(Y_615,Z_616)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_124032,plain,
! [Z_616] : ( multiply(sk_c10,multiply(sk_c6,Z_616)) = multiply(identity,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_123246,c_123990]) ).
tff(c_124087,plain,
! [Z_619] : ( multiply(sk_c10,multiply(sk_c6,Z_619)) = Z_619 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124032]) ).
tff(c_124099,plain,
multiply(sk_c10,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_123896,c_124087]) ).
tff(c_123892,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_123920,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_123892,c_68]) ).
tff(c_123924,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123920,c_4]) ).
tff(c_123959,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_123892,c_64]) ).
tff(c_123937,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_123242,c_12]) ).
tff(c_123941,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123937,c_4]) ).
tff(c_124017,plain,
! [Z_616] : ( multiply(sk_c10,multiply(sk_c4,Z_616)) = multiply(identity,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_123941,c_123990]) ).
tff(c_124185,plain,
! [Z_621] : ( multiply(sk_c10,multiply(sk_c4,Z_621)) = Z_621 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124017]) ).
tff(c_124200,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_123959,c_124185]) ).
tff(c_124047,plain,
! [Z_616] : ( multiply(sk_c9,multiply(sk_c10,Z_616)) = multiply(sk_c8,Z_616) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_123990]) ).
tff(c_124207,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_124200,c_124047]) ).
tff(c_124213,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_123924,c_8,c_124207]) ).
tff(c_123964,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_123892,c_70]) ).
tff(c_124221,plain,
multiply(sk_c10,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_124213,c_123964]) ).
tff(c_124230,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_124099,c_124221]) ).
tff(c_124223,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124213,c_123920]) ).
tff(c_124308,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124230,c_124223]) ).
tff(c_124312,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_124308,c_4]) ).
tff(c_124342,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_124312,c_2]) ).
tff(c_124355,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124342,c_124308]) ).
tff(c_124103,plain,
! [Z_620] : ( multiply(sk_c9,multiply(sk_c10,Z_620)) = multiply(sk_c8,Z_620) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_123990]) ).
tff(c_124133,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_127,c_124103]) ).
tff(c_124130,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_123246,c_124103]) ).
tff(c_124164,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c8,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_124133,c_124130]) ).
tff(c_124216,plain,
multiply(identity,sk_c6) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_124213,c_124213,c_124164]) ).
tff(c_124226,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_124216]) ).
tff(c_124270,plain,
inverse(sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_124226,c_123891]) ).
tff(c_124316,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124308,c_124270]) ).
tff(c_124322,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_124316,c_123]) ).
tff(c_124410,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124355,c_124322]) ).
tff(c_124320,plain,
multiply(identity,sk_c10) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_124316,c_123892]) ).
tff(c_124324,plain,
sk_c3 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124320]) ).
tff(c_124423,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_124410,c_124324]) ).
tff(c_124359,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124342,c_124230]) ).
tff(c_124127,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_123255,c_124103]) ).
tff(c_124218,plain,
multiply(sk_c9,sk_c9) = multiply(identity,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_124213,c_124127]) ).
tff(c_124228,plain,
multiply(sk_c9,sk_c9) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124218]) ).
tff(c_124445,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_124359,c_2,c_124359,c_124228]) ).
tff(c_124446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124423,c_124445]) ).
tff(c_124448,plain,
multiply(sk_c10,sk_c3) != sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_58,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_124463,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_124448,c_58]) ).
tff(c_124467,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_124463,c_4]) ).
tff(c_124553,plain,
! [X_625,Y_626,Z_627] : ( multiply(multiply(X_625,Y_626),Z_627) = multiply(X_625,multiply(Y_626,Z_627)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_124595,plain,
! [Z_627] : ( multiply(sk_c10,multiply(sk_c6,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_123246,c_124553]) ).
tff(c_125499,plain,
! [Z_645] : ( multiply(sk_c10,multiply(sk_c6,Z_645)) = Z_645 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124595]) ).
tff(c_125514,plain,
multiply(sk_c10,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_124467,c_125499]) ).
tff(c_50,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( multiply(sk_c10,sk_c3) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_124500,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_124448,c_50]) ).
tff(c_124504,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_124500,c_4]) ).
tff(c_124538,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_124448,c_46]) ).
tff(c_124447,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_124452,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_124447,c_4]) ).
tff(c_124592,plain,
! [Z_627] : ( multiply(sk_c10,multiply(sk_c4,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_124452,c_124553]) ).
tff(c_125619,plain,
! [Z_648] : ( multiply(sk_c10,multiply(sk_c4,Z_648)) = Z_648 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124592]) ).
tff(c_125637,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_124538,c_125619]) ).
tff(c_124610,plain,
! [Z_627] : ( multiply(sk_c9,multiply(sk_c10,Z_627)) = multiply(sk_c8,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_124553]) ).
tff(c_125647,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_125637,c_124610]) ).
tff(c_125654,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_124504,c_125647]) ).
tff(c_124522,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_124448,c_52]) ).
tff(c_125893,plain,
multiply(sk_c10,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_125654,c_124522]) ).
tff(c_125900,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_125514,c_125893]) ).
tff(c_125895,plain,
inverse(sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125654,c_124500]) ).
tff(c_125944,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125900,c_125895]) ).
tff(c_125226,plain,
! [Z_638] : ( multiply(sk_c9,multiply(sk_c10,Z_638)) = multiply(sk_c8,Z_638) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_124553]) ).
tff(c_125253,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_127,c_125226]) ).
tff(c_125250,plain,
multiply(sk_c9,identity) = multiply(sk_c8,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_123246,c_125226]) ).
tff(c_125273,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c8,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_125253,c_125250]) ).
tff(c_125888,plain,
multiply(identity,sk_c6) = multiply(identity,sk_c2),
inference(demodulation,[status(thm),theory(equality)],[c_125654,c_125654,c_125273]) ).
tff(c_125897,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_125888]) ).
tff(c_125911,plain,
inverse(sk_c7) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_125897,c_124463]) ).
tff(c_125952,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125944,c_125911]) ).
tff(c_125910,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125897,c_124467]) ).
tff(c_126017,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125952,c_125910]) ).
tff(c_124475,plain,
multiply(sk_c2,sk_c10) = sk_c3,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_124601,plain,
! [Z_627] : ( multiply(sk_c10,multiply(sk_c2,Z_627)) = multiply(identity,Z_627) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_124553]) ).
tff(c_125202,plain,
! [Z_637] : ( multiply(sk_c10,multiply(sk_c2,Z_637)) = Z_637 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_124601]) ).
tff(c_125214,plain,
multiply(sk_c10,sk_c3) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_124475,c_125202]) ).
tff(c_125218,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_125214,c_124448]) ).
tff(c_125932,plain,
sk_c7 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_125900,c_125218]) ).
tff(c_126023,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_126017,c_125932]) ).
tff(c_126022,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_126017,c_125944]) ).
tff(c_125958,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_125952,c_123]) ).
tff(c_126087,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_126022,c_125958]) ).
tff(c_126089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126023,c_126087]) ).
tff(c_126091,plain,
multiply(sk_c2,sk_c10) != sk_c3,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_126137,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_126091,c_74]) ).
tff(c_126090,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_126095,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_126090,c_4]) ).
tff(c_126173,plain,
! [X_654,Y_655,Z_656] : ( multiply(multiply(X_654,Y_655),Z_656) = multiply(X_654,multiply(Y_655,Z_656)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_126203,plain,
! [Z_656] : ( multiply(sk_c9,multiply(sk_c5,Z_656)) = multiply(identity,Z_656) ),
inference(superposition,[status(thm),theory(equality)],[c_126095,c_126173]) ).
tff(c_126312,plain,
! [Z_660] : ( multiply(sk_c9,multiply(sk_c5,Z_660)) = Z_660 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126203]) ).
tff(c_126324,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_126137,c_126312]) ).
tff(c_126109,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_126091,c_68]) ).
tff(c_126113,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_126109,c_4]) ).
tff(c_126694,plain,
! [Z_666] : ( multiply(sk_c5,multiply(sk_c8,Z_666)) = multiply(sk_c9,Z_666) ),
inference(superposition,[status(thm),theory(equality)],[c_126137,c_126173]) ).
tff(c_126712,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_126113,c_126694]) ).
tff(c_126717,plain,
multiply(sk_c5,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126324,c_126712]) ).
tff(c_126233,plain,
! [Z_656] : ( multiply(sk_c9,multiply(sk_c5,Z_656)) = Z_656 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126203]) ).
tff(c_126732,plain,
multiply(sk_c9,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_126717,c_126233]) ).
tff(c_126142,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_124448,c_52]) ).
tff(c_126241,plain,
! [Z_657] : ( multiply(sk_c9,multiply(sk_c10,Z_657)) = multiply(sk_c8,Z_657) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_126173]) ).
tff(c_126253,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_126142,c_126241]) ).
tff(c_126748,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126324,c_126253]) ).
tff(c_126197,plain,
! [Z_656] : ( multiply(sk_c5,multiply(sk_c8,Z_656)) = multiply(sk_c9,Z_656) ),
inference(superposition,[status(thm),theory(equality)],[c_126137,c_126173]) ).
tff(c_126752,plain,
multiply(sk_c9,sk_c8) = multiply(sk_c5,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_126748,c_126197]) ).
tff(c_126758,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_126732,c_126137,c_126752]) ).
tff(c_126777,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_126758,c_136]) ).
tff(c_126936,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_126777,c_4]) ).
tff(c_126221,plain,
! [X_2,Z_656] : ( multiply(inverse(X_2),multiply(X_2,Z_656)) = multiply(identity,Z_656) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_126173]) ).
tff(c_126239,plain,
! [X_2,Z_656] : ( multiply(inverse(X_2),multiply(X_2,Z_656)) = Z_656 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126221]) ).
tff(c_126943,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_126936,c_126239]) ).
tff(c_126955,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_126943]) ).
tff(c_126762,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126758,c_126758,c_126324]) ).
tff(c_126780,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126762]) ).
tff(c_126778,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126758,c_8]) ).
tff(c_126783,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126778]) ).
tff(c_126798,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_126780,c_126783]) ).
tff(c_126775,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_126758,c_123242]) ).
tff(c_127083,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126955,c_126798,c_126775]) ).
tff(c_127085,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_32,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_127136,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_127085,c_32]) ).
tff(c_127140,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127136,c_4]) ).
tff(c_127226,plain,
! [Z_673] : ( multiply(sk_c8,multiply(sk_c9,Z_673)) = multiply(identity,Z_673) ),
inference(superposition,[status(thm),theory(equality)],[c_127140,c_127199]) ).
tff(c_127263,plain,
! [Z_674] : ( multiply(sk_c8,multiply(sk_c9,Z_674)) = Z_674 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127226]) ).
tff(c_127278,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_8,c_127263]) ).
tff(c_38,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_127168,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127085,c_38]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_127112,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127085,c_36]) ).
tff(c_127116,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127112,c_4]) ).
tff(c_127232,plain,
! [Z_673] : ( multiply(sk_c9,multiply(sk_c5,Z_673)) = multiply(identity,Z_673) ),
inference(superposition,[status(thm),theory(equality)],[c_127116,c_127199]) ).
tff(c_127484,plain,
! [Z_679] : ( multiply(sk_c9,multiply(sk_c5,Z_679)) = Z_679 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127232]) ).
tff(c_127499,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127168,c_127484]) ).
tff(c_127255,plain,
! [Z_673] : ( multiply(sk_c8,multiply(sk_c9,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127226]) ).
tff(c_127506,plain,
multiply(sk_c8,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_127499,c_127255]) ).
tff(c_127512,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127278,c_127506]) ).
tff(c_127526,plain,
multiply(sk_c10,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_127512,c_8]) ).
tff(c_127275,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_127116,c_127263]) ).
tff(c_127522,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_127512,c_127136]) ).
tff(c_129688,plain,
multiply(inverse(sk_c10),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_127,c_129628]) ).
tff(c_129708,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_127275,c_127522,c_129688]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_127100,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_127085,c_30]) ).
tff(c_127104,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127100,c_4]) ).
tff(c_129676,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_127104,c_129628]) ).
tff(c_129705,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_127275,c_127522,c_129676]) ).
tff(c_129727,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_129708,c_129705]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c10 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_127124,plain,
inverse(sk_c6) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_127085,c_42]) ).
tff(c_127128,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127124,c_4]) ).
tff(c_129670,plain,
multiply(inverse(sk_c10),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_127128,c_129628]) ).
tff(c_129704,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_127275,c_127522,c_129670]) ).
tff(c_129719,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_129705,c_129704]) ).
tff(c_129737,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_129727,c_129719]) ).
tff(c_127084,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c10) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_127173,plain,
multiply(sk_c7,sk_c10) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_127085,c_44]) ).
tff(c_129667,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_127173,c_129628]) ).
tff(c_129703,plain,
multiply(sk_c6,sk_c6) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127084,c_129667]) ).
tff(c_129808,plain,
multiply(sk_c2,sk_c2) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129737,c_129737,c_129703]) ).
tff(c_129812,plain,
multiply(inverse(sk_c2),sk_c10) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_129808,c_127261]) ).
tff(c_129818,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_127526,c_123,c_129812]) ).
tff(c_129721,plain,
multiply(sk_c8,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_129705,c_127275]) ).
tff(c_129862,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_129818,c_129727,c_129721]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_127153,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127085,c_28]) ).
tff(c_127223,plain,
! [Z_673] : ( multiply(sk_c4,multiply(sk_c10,Z_673)) = multiply(sk_c9,Z_673) ),
inference(superposition,[status(thm),theory(equality)],[c_127153,c_127199]) ).
tff(c_129876,plain,
! [Z_719] : ( multiply(sk_c2,multiply(sk_c10,Z_719)) = multiply(sk_c10,Z_719) ),
inference(demodulation,[status(thm),theory(equality)],[c_129727,c_127512,c_127223]) ).
tff(c_129891,plain,
multiply(sk_c2,identity) = multiply(sk_c10,sk_c2),
inference(superposition,[status(thm),theory(equality)],[c_127,c_129876]) ).
tff(c_129896,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129862,c_127,c_129891]) ).
tff(c_129902,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129896,c_129896,c_129808]) ).
tff(c_129910,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129902]) ).
tff(c_129901,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129896,c_129818]) ).
tff(c_127235,plain,
! [Z_673] : ( multiply(sk_c10,multiply(sk_c4,Z_673)) = multiply(identity,Z_673) ),
inference(superposition,[status(thm),theory(equality)],[c_127104,c_127199]) ).
tff(c_127297,plain,
! [Z_675] : ( multiply(sk_c10,multiply(sk_c4,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127235]) ).
tff(c_127309,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_127153,c_127297]) ).
tff(c_127516,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127512,c_127309]) ).
tff(c_127595,plain,
! [X_680,Z_681] : ( multiply(inverse(X_680),multiply(X_680,Z_681)) = Z_681 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127244]) ).
tff(c_127616,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_127516,c_127595]) ).
tff(c_127665,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_127616]) ).
tff(c_127570,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127516,c_127526]) ).
tff(c_127579,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127570,c_127522]) ).
tff(c_127674,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127665,c_127665,c_127579]) ).
tff(c_127891,plain,
! [X_683,Z_684] : ( multiply(inverse(inverse(X_683)),Z_684) = multiply(X_683,Z_684) ),
inference(superposition,[status(thm),theory(equality)],[c_127595,c_127261]) ).
tff(c_127658,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_127595]) ).
tff(c_127898,plain,
! [X_683] : ( multiply(X_683,identity) = X_683 ),
inference(superposition,[status(thm),theory(equality)],[c_127891,c_127658]) ).
tff(c_127353,plain,
! [Z_677] : ( multiply(sk_c9,multiply(sk_c10,Z_677)) = multiply(sk_c8,Z_677) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_127199]) ).
tff(c_127368,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_127309,c_127353]) ).
tff(c_127387,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127140,c_8,c_127368]) ).
tff(c_127323,plain,
! [Z_676] : ( multiply(sk_c9,multiply(sk_c5,Z_676)) = Z_676 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127232]) ).
tff(c_127338,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127168,c_127323]) ).
tff(c_34,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_127160,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127085,c_34]) ).
tff(c_127374,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_127160,c_127353]) ).
tff(c_127388,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127338,c_127278,c_127374]) ).
tff(c_127413,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127387,c_127388]) ).
tff(c_127345,plain,
multiply(sk_c8,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_127338,c_127255]) ).
tff(c_127351,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127278,c_127345]) ).
tff(c_127418,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127413,c_127351]) ).
tff(c_127397,plain,
inverse(sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_127388,c_127136]) ).
tff(c_127451,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127418,c_127413,c_127397]) ).
tff(c_127314,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127136,c_127160,c_102]) ).
tff(c_127315,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_127314]) ).
tff(c_127436,plain,
! [X4_678] :
( ( inverse(X4_678) != identity )
| ( multiply(X4_678,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127418,c_127413,c_127418,c_127315]) ).
tff(c_127450,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_127436]) ).
tff(c_127475,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127451,c_127450]) ).
tff(c_127476,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(splitRight,[status(thm)],[c_127314]) ).
tff(c_127538,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127512,c_127512,c_127512,c_127512,c_127476]) ).
tff(c_127539,plain,
! [X3_8] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(splitLeft,[status(thm)],[c_127538]) ).
tff(c_129597,plain,
! [X3_715] :
( ( inverse(X3_715) != identity )
| ( inverse(X3_715) != X3_715 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127898,c_127665,c_127898,c_127665,c_127665,c_127539]) ).
tff(c_129605,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_127674,c_129597]) ).
tff(c_129612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127674,c_129605]) ).
tff(c_129613,plain,
! [X2_11,X1_10,X6_7] :
( ( multiply(X2_11,sk_c8) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_127538]) ).
tff(c_153570,plain,
! [X2_11,X1_10,X6_7] :
( ( identity != X2_11 )
| ( inverse(X2_11) != identity )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130025,c_129910,c_129910,c_2,c_129910,c_129910,c_130025,c_129910,c_129910,c_129910,c_129910,c_130025,c_129910,c_129901,c_129613]) ).
tff(c_153572,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_153570]) ).
tff(c_129907,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129896,c_123]) ).
tff(c_129949,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129910,c_129907]) ).
tff(c_153574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153572,c_129949]) ).
tff(c_153575,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_153570]) ).
tff(c_153577,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_153575]) ).
tff(c_153579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153577,c_129949]) ).
tff(c_154747,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_153575]) ).
tff(c_154749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154747,c_129949]) ).
tff(c_154751,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_86,plain,
( ( inverse(sk_c9) = sk_c8 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_154763,plain,
inverse(sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_154751,c_86]) ).
tff(c_154767,plain,
multiply(sk_c8,sk_c9) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154763,c_4]) ).
tff(c_160811,plain,
! [X_996,Y_997,Z_998] : ( multiply(multiply(X_996,Y_997),Z_998) = multiply(X_996,multiply(Y_997,Z_998)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_160847,plain,
! [Z_998] : ( multiply(sk_c8,multiply(sk_c9,Z_998)) = multiply(identity,Z_998) ),
inference(superposition,[status(thm),theory(equality)],[c_154767,c_160811]) ).
tff(c_161186,plain,
! [Z_1006] : ( multiply(sk_c8,multiply(sk_c9,Z_1006)) = Z_1006 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160847]) ).
tff(c_161207,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_8,c_161186]) ).
tff(c_82,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_154846,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_154751,c_82]) ).
tff(c_84,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_154802,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_154751,c_84]) ).
tff(c_154806,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154802,c_4]) ).
tff(c_154878,plain,
! [X_896,Y_897,Z_898] : ( multiply(multiply(X_896,Y_897),Z_898) = multiply(X_896,multiply(Y_897,Z_898)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_154908,plain,
! [Z_898] : ( multiply(sk_c10,multiply(sk_c4,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_154806,c_154878]) ).
tff(c_155436,plain,
! [Z_907] : ( multiply(sk_c10,multiply(sk_c4,Z_907)) = Z_907 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154908]) ).
tff(c_155448,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_154846,c_155436]) ).
tff(c_154923,plain,
! [X_2,Z_898] : ( multiply(inverse(X_2),multiply(X_2,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_154878]) ).
tff(c_157156,plain,
! [X_940,Z_941] : ( multiply(inverse(X_940),multiply(X_940,Z_941)) = Z_941 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154923]) ).
tff(c_157201,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_155448,c_157156]) ).
tff(c_157258,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_157201]) ).
tff(c_154940,plain,
! [X_2,Z_898] : ( multiply(inverse(X_2),multiply(X_2,Z_898)) = Z_898 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154923]) ).
tff(c_157483,plain,
! [X_944,Z_945] : ( multiply(inverse(inverse(X_944)),Z_945) = multiply(X_944,Z_945) ),
inference(superposition,[status(thm),theory(equality)],[c_154940,c_157156]) ).
tff(c_157246,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_157156]) ).
tff(c_157490,plain,
! [X_944] : ( multiply(X_944,identity) = X_944 ),
inference(superposition,[status(thm),theory(equality)],[c_157483,c_157246]) ).
tff(c_94,plain,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_154789,plain,
inverse(sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_154751,c_94]) ).
tff(c_154793,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154789,c_4]) ).
tff(c_154750,plain,
inverse(sk_c6) = sk_c10,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_154755,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154750,c_4]) ).
tff(c_154920,plain,
! [Z_898] : ( multiply(sk_c10,multiply(sk_c6,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_154755,c_154878]) ).
tff(c_155507,plain,
! [Z_910] : ( multiply(sk_c10,multiply(sk_c6,Z_910)) = Z_910 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154920]) ).
tff(c_155519,plain,
multiply(sk_c10,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_154793,c_155507]) ).
tff(c_92,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_154853,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_154751,c_92]) ).
tff(c_90,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_154810,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_154751,c_90]) ).
tff(c_154814,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154810,c_4]) ).
tff(c_154905,plain,
! [Z_898] : ( multiply(sk_c9,multiply(sk_c5,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_154814,c_154878]) ).
tff(c_155475,plain,
! [Z_909] : ( multiply(sk_c9,multiply(sk_c5,Z_909)) = Z_909 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154905]) ).
tff(c_155487,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_154853,c_155475]) ).
tff(c_88,plain,
( ( multiply(sk_c10,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_154827,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_154751,c_88]) ).
tff(c_155452,plain,
! [Z_908] : ( multiply(sk_c10,multiply(sk_c8,Z_908)) = multiply(sk_c9,Z_908) ),
inference(superposition,[status(thm),theory(equality)],[c_154827,c_154878]) ).
tff(c_155464,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c10,identity),
inference(superposition,[status(thm),theory(equality)],[c_154767,c_155452]) ).
tff(c_155498,plain,
multiply(sk_c10,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_155487,c_155464]) ).
tff(c_155621,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155519,c_155498]) ).
tff(c_155630,plain,
multiply(sk_c9,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_155487]) ).
tff(c_157267,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_157258,c_157258,c_155630]) ).
tff(c_157280,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_157267]) ).
tff(c_155636,plain,
multiply(sk_c9,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_8]) ).
tff(c_157271,plain,
multiply(identity,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_157258,c_155636]) ).
tff(c_157281,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_157271]) ).
tff(c_157296,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157280,c_157281]) ).
tff(c_155817,plain,
! [X_914,Z_915] : ( multiply(inverse(X_914),multiply(X_914,Z_915)) = Z_915 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154923]) ).
tff(c_156144,plain,
! [X_918,Z_919] : ( multiply(inverse(inverse(X_918)),Z_919) = multiply(X_918,Z_919) ),
inference(superposition,[status(thm),theory(equality)],[c_155817,c_154940]) ).
tff(c_155880,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_155817]) ).
tff(c_156151,plain,
! [X_918] : ( multiply(X_918,identity) = X_918 ),
inference(superposition,[status(thm),theory(equality)],[c_156144,c_155880]) ).
tff(c_154917,plain,
! [Z_898] : ( multiply(sk_c8,multiply(sk_c9,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_154767,c_154878]) ).
tff(c_154938,plain,
! [Z_898] : ( multiply(sk_c8,multiply(sk_c9,Z_898)) = Z_898 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154917]) ).
tff(c_155692,plain,
! [Z_912] : ( multiply(sk_c7,multiply(sk_c9,Z_912)) = Z_912 ),
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_154938]) ).
tff(c_155707,plain,
multiply(sk_c7,sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_155636,c_155692]) ).
tff(c_155704,plain,
multiply(sk_c7,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_155630,c_155692]) ).
tff(c_155783,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_155707,c_155704]) ).
tff(c_155635,plain,
inverse(sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_154763]) ).
tff(c_155798,plain,
inverse(sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155783,c_155635]) ).
tff(c_155847,plain,
multiply(inverse(sk_c10),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155519,c_155817]) ).
tff(c_155890,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_155707,c_155798,c_155847]) ).
tff(c_155900,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_155890,c_155783]) ).
tff(c_98,plain,
( ( multiply(sk_c7,sk_c10) = sk_c6 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_154834,plain,
multiply(sk_c7,sk_c10) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_154751,c_98]) ).
tff(c_154776,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_154780,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_154776,c_4]) ).
tff(c_154968,plain,
! [Z_900] : ( multiply(sk_c8,multiply(sk_c9,Z_900)) = Z_900 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154917]) ).
tff(c_154983,plain,
multiply(sk_c8,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_154780,c_154968]) ).
tff(c_154943,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154763,c_154827,c_102]) ).
tff(c_155046,plain,
! [X4_902] :
( ( inverse(X4_902) != sk_c9 )
| ( multiply(X4_902,sk_c9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_154943]) ).
tff(c_155060,plain,
( ( inverse(inverse(sk_c9)) != sk_c9 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_155046]) ).
tff(c_155066,plain,
( ( inverse(sk_c8) != sk_c9 )
| ( sk_c10 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154763,c_155060]) ).
tff(c_155074,plain,
sk_c10 != identity,
inference(splitLeft,[status(thm)],[c_155066]) ).
tff(c_154945,plain,
! [Z_899] : ( multiply(sk_c10,multiply(sk_c4,Z_899)) = Z_899 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154908]) ).
tff(c_154957,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_154846,c_154945]) ).
tff(c_155106,plain,
! [X_904,Z_905] : ( multiply(inverse(X_904),multiply(X_904,Z_905)) = Z_905 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154923]) ).
tff(c_155148,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154957,c_155106]) ).
tff(c_155209,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_155148]) ).
tff(c_155231,plain,
multiply(identity,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_155209,c_8]) ).
tff(c_155233,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155231]) ).
tff(c_154986,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_8,c_154968]) ).
tff(c_155239,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_155233,c_155233,c_154986]) ).
tff(c_155347,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_155239,c_154940]) ).
tff(c_155353,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_155347]) ).
tff(c_155355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155074,c_155353]) ).
tff(c_155357,plain,
sk_c10 = identity,
inference(splitRight,[status(thm)],[c_155066]) ).
tff(c_155366,plain,
multiply(identity,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_155357,c_154827]) ).
tff(c_155373,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155366]) ).
tff(c_155372,plain,
multiply(sk_c9,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_155357,c_8]) ).
tff(c_155389,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_155373,c_155372]) ).
tff(c_155396,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_154983,c_155389]) ).
tff(c_155395,plain,
inverse(sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_155373,c_154763]) ).
tff(c_155418,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_155396,c_155396,c_155395]) ).
tff(c_155401,plain,
sk_c9 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_155396,c_155373]) ).
tff(c_155356,plain,
inverse(sk_c8) != sk_c9,
inference(splitRight,[status(thm)],[c_155066]) ).
tff(c_155434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155418,c_155401,c_155396,c_155356]) ).
tff(c_155435,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(splitRight,[status(thm)],[c_154943]) ).
tff(c_155591,plain,
! [X3_911] :
( ( inverse(multiply(X3_911,sk_c10)) != sk_c10 )
| ( multiply(X3_911,sk_c10) != inverse(X3_911) ) ),
inference(splitLeft,[status(thm)],[c_155435]) ).
tff(c_155604,plain,
( ( inverse(sk_c6) != sk_c10 )
| ( multiply(sk_c7,sk_c10) != inverse(sk_c7) ) ),
inference(superposition,[status(thm),theory(equality)],[c_154834,c_155591]) ).
tff(c_155619,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154789,c_154834,c_154750,c_155604]) ).
tff(c_155620,plain,
! [X2_11,X1_10,X6_7] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_155435]) ).
tff(c_155688,plain,
! [X2_11,X1_10,X6_7] :
( ( multiply(X2_11,sk_c7) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155621,c_155620]) ).
tff(c_155689,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_155688]) ).
tff(c_157152,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_156151,c_155900,c_155890,c_2,c_155890,c_155890,c_155689]) ).
tff(c_155903,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155890,c_155519]) ).
tff(c_155913,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_155903]) ).
tff(c_155899,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_155890,c_155798]) ).
tff(c_155959,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_155913,c_155899]) ).
tff(c_157154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157152,c_155959]) ).
tff(c_157155,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c7) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_155688]) ).
tff(c_160702,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157258,c_157490,c_157280,c_157258,c_157490,c_157296,c_157258,c_157296,c_157155]) ).
tff(c_160704,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_160702]) ).
tff(c_157288,plain,
multiply(identity,sk_c10) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_157280,c_154834]) ).
tff(c_157291,plain,
sk_c6 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_157288]) ).
tff(c_157309,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157296,c_157291]) ).
tff(c_157303,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157296,c_154750]) ).
tff(c_157318,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157309,c_157303]) ).
tff(c_160706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160704,c_157318]) ).
tff(c_160708,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_160702]) ).
tff(c_160710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160708,c_157318]) ).
tff(c_160712,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_160776,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_160712,c_38]) ).
tff(c_160726,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_154751,c_90]) ).
tff(c_160730,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_160726,c_4]) ).
tff(c_160841,plain,
! [Z_998] : ( multiply(sk_c9,multiply(sk_c5,Z_998)) = multiply(identity,Z_998) ),
inference(superposition,[status(thm),theory(equality)],[c_160730,c_160811]) ).
tff(c_161040,plain,
! [Z_1002] : ( multiply(sk_c9,multiply(sk_c5,Z_1002)) = Z_1002 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160841]) ).
tff(c_161052,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_160776,c_161040]) ).
tff(c_161198,plain,
multiply(sk_c8,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_161052,c_161186]) ).
tff(c_161248,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_161207,c_161198]) ).
tff(c_161259,plain,
multiply(sk_c8,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161248,c_154767]) ).
tff(c_161260,plain,
inverse(sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_161248,c_154763]) ).
tff(c_160756,plain,
multiply(sk_c10,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_154751,c_88]) ).
tff(c_161255,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_161248,c_160756]) ).
tff(c_160853,plain,
! [X_2,Z_998] : ( multiply(inverse(X_2),multiply(X_2,Z_998)) = multiply(identity,Z_998) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_160811]) ).
tff(c_162695,plain,
! [X_1035,Z_1036] : ( multiply(inverse(X_1035),multiply(X_1035,Z_1036)) = Z_1036 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160853]) ).
tff(c_162719,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_161255,c_162695]) ).
tff(c_162775,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161259,c_161260,c_162719]) ).
tff(c_162809,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_162775,c_162775,c_161207]) ).
tff(c_162810,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_162809]) ).
tff(c_160869,plain,
! [X_2,Z_998] : ( multiply(inverse(X_2),multiply(X_2,Z_998)) = Z_998 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160853]) ).
tff(c_162950,plain,
! [X_1038,Z_1039] : ( multiply(inverse(inverse(X_1038)),Z_1039) = multiply(X_1038,Z_1039) ),
inference(superposition,[status(thm),theory(equality)],[c_162695,c_160869]) ).
tff(c_162767,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_162695]) ).
tff(c_162957,plain,
! [X_1038] : ( multiply(X_1038,identity) = X_1038 ),
inference(superposition,[status(thm),theory(equality)],[c_162950,c_162767]) ).
tff(c_161330,plain,
! [X_1008,Z_1009] : ( multiply(inverse(X_1008),multiply(X_1008,Z_1009)) = Z_1009 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160853]) ).
tff(c_161641,plain,
! [X_1013,Z_1014] : ( multiply(inverse(inverse(X_1013)),Z_1014) = multiply(X_1013,Z_1014) ),
inference(superposition,[status(thm),theory(equality)],[c_161330,c_160869]) ).
tff(c_161402,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_161330]) ).
tff(c_161648,plain,
! [X_1013] : ( multiply(X_1013,identity) = X_1013 ),
inference(superposition,[status(thm),theory(equality)],[c_161641,c_161402]) ).
tff(c_161348,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_161255,c_161330]) ).
tff(c_161409,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_161348]) ).
tff(c_161444,plain,
multiply(identity,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_161409,c_161409,c_161207]) ).
tff(c_161445,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_161444]) ).
tff(c_160711,plain,
inverse(sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_160767,plain,
multiply(sk_c7,sk_c10) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_154751,c_98]) ).
tff(c_160740,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_154751,c_84]) ).
tff(c_160897,plain,
! [Z_1000] : ( multiply(sk_c8,multiply(sk_c9,Z_1000)) = Z_1000 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160847]) ).
tff(c_160918,plain,
multiply(sk_c8,sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_8,c_160897]) ).
tff(c_160874,plain,
! [Z_999] : ( multiply(sk_c9,multiply(sk_c5,Z_999)) = Z_999 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_160841]) ).
tff(c_160886,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_160776,c_160874]) ).
tff(c_160909,plain,
multiply(sk_c8,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_160886,c_160897]) ).
tff(c_160937,plain,
sk_c9 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_160918,c_160909]) ).
tff(c_160761,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_160712,c_28]) ).
tff(c_160942,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_160937,c_160761]) ).
tff(c_160872,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154763,c_160756,c_102]) ).
tff(c_160873,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c9 )
| ( multiply(X4_12,sk_c9) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_160872]) ).
tff(c_160968,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160937,c_160937,c_160873]) ).
tff(c_161029,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_160942,c_160968]) ).
tff(c_161038,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_160740,c_161029]) ).
tff(c_161039,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(multiply(X3_8,sk_c10)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != inverse(X3_8) ) ),
inference(splitRight,[status(thm)],[c_160872]) ).
tff(c_161165,plain,
! [X3_1005] :
( ( inverse(multiply(X3_1005,sk_c10)) != sk_c10 )
| ( multiply(X3_1005,sk_c10) != inverse(X3_1005) ) ),
inference(splitLeft,[status(thm)],[c_161039]) ).
tff(c_161172,plain,
( ( inverse(sk_c6) != sk_c10 )
| ( multiply(sk_c7,sk_c10) != inverse(sk_c7) ) ),
inference(superposition,[status(thm),theory(equality)],[c_160767,c_161165]) ).
tff(c_161184,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_160711,c_160767,c_154750,c_161172]) ).
tff(c_161185,plain,
! [X2_11,X1_10,X6_7] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_161039]) ).
tff(c_161287,plain,
! [X2_11,X1_10,X6_7] :
( ( multiply(X2_11,sk_c8) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161248,c_161248,c_161248,c_161248,c_161185]) ).
tff(c_161288,plain,
! [X6_7] :
( ( inverse(X6_7) != sk_c10 )
| ( multiply(sk_c10,multiply(X6_7,sk_c10)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_161287]) ).
tff(c_162652,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_161648,c_161445,c_161445,c_2,c_161445,c_161445,c_161288]) ).
tff(c_161443,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161409,c_161260]) ).
tff(c_161511,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_161445,c_161443]) ).
tff(c_162654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162652,c_161511]) ).
tff(c_162655,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c10 )
| ( inverse(X2_11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_161287]) ).
tff(c_173599,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != identity )
| ( identity != X1_10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162810,c_162957,c_162810,c_162775,c_162957,c_162810,c_162810,c_162810,c_162655]) ).
tff(c_173601,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_173599]) ).
tff(c_162808,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_162775,c_161260]) ).
tff(c_162842,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_162810,c_162808]) ).
tff(c_173603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173601,c_162842]) ).
tff(c_173605,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_173599]) ).
tff(c_173607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173605,c_162842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n013.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 21:49:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 33.22/21.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.53/22.01
% 33.53/22.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 33.82/22.10
% 33.82/22.10 Inference rules
% 33.82/22.10 ----------------------
% 33.82/22.10 #Ref : 0
% 33.82/22.10 #Sup : 41793
% 33.82/22.10 #Fact : 0
% 33.82/22.10 #Define : 0
% 33.82/22.10 #Split : 47
% 33.82/22.10 #Chain : 0
% 33.82/22.10 #Close : 0
% 33.82/22.10
% 33.82/22.10 Ordering : KBO
% 33.82/22.10
% 33.82/22.10 Simplification rules
% 33.82/22.10 ----------------------
% 33.82/22.10 #Subsume : 13
% 33.82/22.10 #Demod : 158340
% 33.82/22.10 #Tautology : 34516
% 33.82/22.10 #SimpNegUnit : 148
% 33.82/22.10 #BackRed : 916
% 33.82/22.10
% 33.82/22.10 #Partial instantiations: 0
% 33.82/22.10 #Strategies tried : 1
% 33.82/22.10
% 33.82/22.10 Timing (in seconds)
% 33.82/22.10 ----------------------
% 33.82/22.10 Preprocessing : 0.55
% 33.82/22.10 Parsing : 0.21
% 33.82/22.10 CNF conversion : 0.03
% 33.82/22.10 Main loop : 20.36
% 33.82/22.10 Inferencing : 3.90
% 33.82/22.10 Reduction : 14.34
% 33.82/22.10 Demodulation : 13.74
% 33.82/22.10 BG Simplification : 0.27
% 33.82/22.10 Subsumption : 1.33
% 33.82/22.10 Abstraction : 1.06
% 33.82/22.10 MUC search : 0.00
% 33.82/22.10 Cooper : 0.00
% 33.82/22.10 Total : 21.10
% 33.82/22.10 Index Insertion : 0.00
% 33.82/22.10 Index Deletion : 0.00
% 33.82/22.10 Index Matching : 0.00
% 33.82/22.10 BG Taut test : 0.00
%------------------------------------------------------------------------------