TSTP Solution File: GRP245-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 10:40:37 EDT 2023
% Result : Unsatisfiable 28.39s 16.18s
% Output : CNFRefutation 29.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 56
% Syntax : Number of formulae : 816 ( 642 unt; 13 typ; 0 def)
% Number of atoms : 1151 (1101 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 769 ( 421 ~; 348 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 400 (; 400 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( multiply(X4,sk_c10) != sk_c9 )
| ( inverse(X4) != sk_c10 )
| ( multiply(X5,sk_c9) != sk_c8 )
| ( inverse(X5) != sk_c9 )
| ( inverse(X6) != sk_c10 )
| ( multiply(X6,sk_c9) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X1,sk_c9) != sk_c10 )
| ( inverse(X2) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( multiply(X7,X3) != sk_c9 )
| ( inverse(X7) != X3 )
| ( multiply(X3,sk_c8) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( multiply(sk_c3,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_151767,plain,
! [X_1101,Y_1102,Z_1103] : ( multiply(multiply(X_1101,Y_1102),Z_1103) = multiply(X_1101,multiply(Y_1102,Z_1103)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_151806,plain,
! [X_2,Z_1103] : ( multiply(inverse(X_2),multiply(X_2,Z_1103)) = multiply(identity,Z_1103) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_151767]) ).
tff(c_152336,plain,
! [X_1117,Z_1118] : ( multiply(inverse(X_1117),multiply(X_1117,Z_1118)) = Z_1118 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151806]) ).
tff(c_151818,plain,
! [X_2,Z_1103] : ( multiply(inverse(X_2),multiply(X_2,Z_1103)) = Z_1103 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151806]) ).
tff(c_157271,plain,
! [X_1181,Z_1182] : ( multiply(inverse(inverse(X_1181)),Z_1182) = multiply(X_1181,Z_1182) ),
inference(superposition,[status(thm),theory(equality)],[c_152336,c_151818]) ).
tff(c_152417,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_152336]) ).
tff(c_157278,plain,
! [X_1181] : ( multiply(X_1181,identity) = X_1181 ),
inference(superposition,[status(thm),theory(equality)],[c_157271,c_152417]) ).
tff(c_152814,plain,
! [X_1122,Z_1123] : ( multiply(inverse(inverse(X_1122)),Z_1123) = multiply(X_1122,Z_1123) ),
inference(superposition,[status(thm),theory(equality)],[c_151818,c_152336]) ).
tff(c_152855,plain,
! [X_1122] : ( multiply(X_1122,inverse(X_1122)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_152814]) ).
tff(c_152821,plain,
! [X_1122] : ( multiply(X_1122,identity) = X_1122 ),
inference(superposition,[status(thm),theory(equality)],[c_152814,c_152417]) ).
tff(c_26,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_109,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_113,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_102664,plain,
! [X_667,Y_668,Z_669] : ( multiply(multiply(X_667,Y_668),Z_669) = multiply(X_667,multiply(Y_668,Z_669)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_102706,plain,
! [X_2,Z_669] : ( multiply(inverse(X_2),multiply(X_2,Z_669)) = multiply(identity,Z_669) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102664]) ).
tff(c_104689,plain,
! [X_708,Z_709] : ( multiply(inverse(X_708),multiply(X_708,Z_709)) = Z_709 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_104770,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_104689]) ).
tff(c_33434,plain,
! [X_315,Y_316,Z_317] : ( multiply(multiply(X_315,Y_316),Z_317) = multiply(X_315,multiply(Y_316,Z_317)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33476,plain,
! [X_2,Z_317] : ( multiply(inverse(X_2),multiply(X_2,Z_317)) = multiply(identity,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33434]) ).
tff(c_34921,plain,
! [X_346,Z_347] : ( multiply(inverse(X_346),multiply(X_346,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33476]) ).
tff(c_33489,plain,
! [X_2,Z_317] : ( multiply(inverse(X_2),multiply(X_2,Z_317)) = Z_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33476]) ).
tff(c_36459,plain,
! [X_368,Z_369] : ( multiply(inverse(inverse(X_368)),Z_369) = multiply(X_368,Z_369) ),
inference(superposition,[status(thm),theory(equality)],[c_34921,c_33489]) ).
tff(c_35008,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34921]) ).
tff(c_36466,plain,
! [X_368] : ( multiply(X_368,identity) = X_368 ),
inference(superposition,[status(thm),theory(equality)],[c_36459,c_35008]) ).
tff(c_92,plain,
! [X5_6,X4_12,X1_10,X7_9,X6_7,X2_11] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_33054,plain,
! [X4_310] :
( ( inverse(X4_310) != sk_c10 )
| ( multiply(X4_310,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_33065,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33054]) ).
tff(c_33079,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_33065]) ).
tff(c_31365,plain,
! [X_270,Y_271,Z_272] : ( multiply(multiply(X_270,Y_271),Z_272) = multiply(X_270,multiply(Y_271,Z_272)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31413,plain,
! [X_2,Z_272] : ( multiply(inverse(X_2),multiply(X_2,Z_272)) = multiply(identity,Z_272) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31365]) ).
tff(c_31820,plain,
! [X_280,Z_281] : ( multiply(inverse(X_280),multiply(X_280,Z_281)) = Z_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31413]) ).
tff(c_31877,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_31820]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_123,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_127,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123,c_4]) ).
tff(c_31871,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_31820]) ).
tff(c_32017,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31877,c_31871]) ).
tff(c_31472,plain,
! [X4_276] :
( ( inverse(X4_276) != sk_c10 )
| ( multiply(X4_276,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_31480,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31472]) ).
tff(c_31493,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_31480]) ).
tff(c_196,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_229,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_196]) ).
tff(c_603,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_240,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_229]) ).
tff(c_1738,plain,
! [X_46,Z_47] : ( multiply(inverse(inverse(X_46)),Z_47) = multiply(X_46,Z_47) ),
inference(superposition,[status(thm),theory(equality)],[c_603,c_240]) ).
tff(c_669,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_603]) ).
tff(c_1745,plain,
! [X_46] : ( multiply(X_46,identity) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_1738,c_669]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_166,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_226,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_196]) ).
tff(c_344,plain,
! [Z_22] : ( multiply(sk_c10,multiply(sk_c1,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_226]) ).
tff(c_356,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_166,c_344]) ).
tff(c_621,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_356,c_603]) ).
tff(c_676,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_621]) ).
tff(c_211,plain,
! [Z_17] : ( multiply(sk_c1,multiply(sk_c10,Z_17)) = multiply(sk_c9,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_196]) ).
tff(c_1461,plain,
! [Z_42] : ( multiply(sk_c1,multiply(sk_c10,Z_42)) = Z_42 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_676,c_211]) ).
tff(c_1491,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_1461]) ).
tff(c_1488,plain,
multiply(sk_c1,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_1461]) ).
tff(c_1613,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1491,c_1488]) ).
tff(c_88,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_153,plain,
multiply(sk_c3,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_689,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_676,c_153]) ).
tff(c_1615,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_1613,c_689]) ).
tff(c_1618,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1491,c_1615]) ).
tff(c_991,plain,
! [X_32,Z_33] : ( multiply(inverse(inverse(X_32)),Z_33) = multiply(X_32,Z_33) ),
inference(superposition,[status(thm),theory(equality)],[c_603,c_240]) ).
tff(c_998,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_991,c_669]) ).
tff(c_40,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_152,plain,
multiply(sk_c2,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_60,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_137,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_141,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_137,c_4]) ).
tff(c_220,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_141,c_196]) ).
tff(c_242,plain,
! [Z_18] : ( multiply(sk_c9,multiply(sk_c2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_220]) ).
tff(c_254,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_152,c_242]) ).
tff(c_633,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_254,c_603]) ).
tff(c_677,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_633]) ).
tff(c_368,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_229]) ).
tff(c_386,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_356,c_368]) ).
tff(c_441,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_386]) ).
tff(c_456,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_441,c_141]) ).
tff(c_542,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_456,c_240]) ).
tff(c_554,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_542]) ).
tff(c_457,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_441,c_137]) ).
tff(c_558,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_457]) ).
tff(c_398,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_254,c_368]) ).
tff(c_442,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_398]) ).
tff(c_289,plain,
! [X4_20] :
( ( inverse(X4_20) != sk_c10 )
| ( multiply(X4_20,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_299,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_166,c_289]) ).
tff(c_312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_299]) ).
tff(c_313,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_367,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_313]) ).
tff(c_564,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),identity) != identity )
| ( multiply(X7_9,inverse(X7_9)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_441,c_442,c_441,c_367]) ).
tff(c_590,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_558,c_564]) ).
tff(c_601,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_2,c_2,c_590]) ).
tff(c_602,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_313]) ).
tff(c_711,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_677,c_676,c_676,c_676,c_676,c_676,c_677,c_676,c_602]) ).
tff(c_712,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_711]) ).
tff(c_1428,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_998,c_712]) ).
tff(c_691,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_676,c_141]) ).
tff(c_750,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_691,c_2]) ).
tff(c_692,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_676,c_137]) ).
tff(c_760,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_750,c_692]) ).
tff(c_1430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1428,c_760]) ).
tff(c_1431,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_711]) ).
tff(c_28196,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1745,c_1618,c_1745,c_1618,c_1618,c_1745,c_1618,c_1431]) ).
tff(c_28198,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28196]) ).
tff(c_1502,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_691,c_240]) ).
tff(c_1514,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1502]) ).
tff(c_1518,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1514,c_692]) ).
tff(c_28200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28198,c_1518]) ).
tff(c_28201,plain,
! [X1_10,X6_7] :
( ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_28196]) ).
tff(c_28203,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_28201]) ).
tff(c_1632,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1618,c_109]) ).
tff(c_28205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28203,c_1632]) ).
tff(c_28208,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_28201]) ).
tff(c_28210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28208,c_1632]) ).
tff(c_28212,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_8,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_28225,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_28212,c_8]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_28282,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_28212,c_10]) ).
tff(c_16,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_28266,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28212,c_16]) ).
tff(c_28211,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_28216,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28211,c_4]) ).
tff(c_28287,plain,
! [X_211,Y_212,Z_213] : ( multiply(multiply(X_211,Y_212),Z_213) = multiply(X_211,multiply(Y_212,Z_213)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28320,plain,
! [Z_213] : ( multiply(sk_c7,multiply(sk_c6,Z_213)) = multiply(identity,Z_213) ),
inference(superposition,[status(thm),theory(equality)],[c_28216,c_28287]) ).
tff(c_29342,plain,
! [Z_237] : ( multiply(sk_c7,multiply(sk_c6,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28320]) ).
tff(c_29354,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28266,c_29342]) ).
tff(c_28338,plain,
! [X_2,Z_213] : ( multiply(inverse(X_2),multiply(X_2,Z_213)) = multiply(identity,Z_213) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28287]) ).
tff(c_29618,plain,
! [X_242,Z_243] : ( multiply(inverse(X_242),multiply(X_242,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28338]) ).
tff(c_29669,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_29354,c_29618]) ).
tff(c_29783,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29669]) ).
tff(c_29843,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_29783,c_153]) ).
tff(c_12,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_28244,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28212,c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_28271,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28212,c_14]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_28260,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_28212,c_20]) ).
tff(c_28845,plain,
! [X_224,Z_225] : ( multiply(inverse(X_224),multiply(X_224,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28338]) ).
tff(c_28902,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_28845]) ).
tff(c_28431,plain,
! [X4_218] :
( ( inverse(X4_218) != sk_c10 )
| ( multiply(X4_218,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_28442,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28431]) ).
tff(c_28449,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_28442]) ).
tff(c_28450,plain,
! [X_219,Z_220] : ( multiply(inverse(X_219),multiply(X_219,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28338]) ).
tff(c_28495,plain,
multiply(inverse(sk_c6),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28266,c_28450]) ).
tff(c_28553,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28211,c_28495]) ).
tff(c_28352,plain,
! [X_2,Z_213] : ( multiply(inverse(X_2),multiply(X_2,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28338]) ).
tff(c_28583,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_28553,c_28352]) ).
tff(c_28589,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28583]) ).
tff(c_28591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28449,c_28589]) ).
tff(c_28593,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_28442]) ).
tff(c_28636,plain,
multiply(sk_c3,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_28593,c_153]) ).
tff(c_28332,plain,
! [Z_213] : ( multiply(sk_c10,multiply(sk_c3,Z_213)) = multiply(identity,Z_213) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_28287]) ).
tff(c_28350,plain,
! [Z_213] : ( multiply(sk_c10,multiply(sk_c3,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28332]) ).
tff(c_28738,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28636,c_28350]) ).
tff(c_28869,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_28738,c_28845]) ).
tff(c_29044,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28902,c_28869]) ).
tff(c_29056,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_29044,c_109]) ).
tff(c_28377,plain,
! [Z_215] : ( multiply(sk_c10,multiply(sk_c3,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28332]) ).
tff(c_28389,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_153,c_28377]) ).
tff(c_28447,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_28389,c_28431]) ).
tff(c_29053,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_29044,c_29044,c_28447]) ).
tff(c_29077,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29056,c_29053]) ).
tff(c_29078,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_29221,plain,
! [X7_233] :
( ( multiply(inverse(X7_233),sk_c8) != sk_c9 )
| ( multiply(X7_233,inverse(X7_233)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_29078]) ).
tff(c_29227,plain,
( ( multiply(sk_c7,sk_c8) != sk_c9 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c9 ) ),
inference(superposition,[status(thm),theory(equality)],[c_28211,c_29221]) ).
tff(c_29242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28266,c_28211,c_28260,c_29227]) ).
tff(c_29243,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_29078]) ).
tff(c_29374,plain,
! [X5_238] :
( ( inverse(X5_238) != sk_c9 )
| ( multiply(X5_238,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_29243]) ).
tff(c_29396,plain,
inverse(sk_c2) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_152,c_29374]) ).
tff(c_29411,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_29396]) ).
tff(c_29412,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_29243]) ).
tff(c_29511,plain,
! [X2_240] :
( ( multiply(X2_240,sk_c8) != sk_c9 )
| ( inverse(X2_240) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_29412]) ).
tff(c_29530,plain,
inverse(sk_c5) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_28271,c_29511]) ).
tff(c_29547,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28244,c_29530]) ).
tff(c_29548,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_29412]) ).
tff(c_29812,plain,
! [X6_7] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_29548]) ).
tff(c_29929,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29783,c_29812]) ).
tff(c_29983,plain,
inverse(sk_c3) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_29843,c_29929]) ).
tff(c_29998,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123,c_29983]) ).
tff(c_30022,plain,
! [X1_246] :
( ( multiply(X1_246,sk_c9) != sk_c10 )
| ( inverse(X1_246) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_29548]) ).
tff(c_30032,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_28282,c_30022]) ).
tff(c_30047,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28225,c_30032]) ).
tff(c_30048,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_30137,plain,
! [X_247,Y_248,Z_249] : ( multiply(multiply(X_247,Y_248),Z_249) = multiply(X_247,multiply(Y_248,Z_249)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30188,plain,
! [X_2,Z_249] : ( multiply(inverse(X_2),multiply(X_2,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30137]) ).
tff(c_30839,plain,
! [X_265,Z_266] : ( multiply(inverse(X_265),multiply(X_265,Z_266)) = Z_266 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30188]) ).
tff(c_30899,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_30839]) ).
tff(c_30893,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_30839]) ).
tff(c_31254,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30899,c_30893]) ).
tff(c_30049,plain,
multiply(sk_c3,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_84,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_30124,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_30049,c_84]) ).
tff(c_82,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_30080,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_30049,c_82]) ).
tff(c_30084,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30080,c_4]) ).
tff(c_30167,plain,
! [Z_249] : ( multiply(sk_c9,multiply(sk_c5,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_30084,c_30137]) ).
tff(c_30573,plain,
! [Z_263] : ( multiply(sk_c9,multiply(sk_c5,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30167]) ).
tff(c_30585,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30124,c_30573]) ).
tff(c_30075,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_30185,plain,
! [Z_249] : ( multiply(sk_c10,multiply(sk_c1,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_30137]) ).
tff(c_30298,plain,
! [Z_255] : ( multiply(sk_c10,multiply(sk_c1,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30185]) ).
tff(c_30310,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_30075,c_30298]) ).
tff(c_30509,plain,
! [Z_262] : ( multiply(sk_c1,multiply(sk_c10,Z_262)) = multiply(sk_c9,Z_262) ),
inference(superposition,[status(thm),theory(equality)],[c_30075,c_30137]) ).
tff(c_30530,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_30310,c_30509]) ).
tff(c_30549,plain,
multiply(sk_c9,sk_c9) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_30075,c_30530]) ).
tff(c_30589,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30585,c_30549]) ).
tff(c_86,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_30114,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_30049,c_86]) ).
tff(c_30053,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30048,c_4]) ).
tff(c_30173,plain,
! [Z_249] : ( multiply(sk_c7,multiply(sk_c6,Z_249)) = multiply(identity,Z_249) ),
inference(superposition,[status(thm),theory(equality)],[c_30053,c_30137]) ).
tff(c_30321,plain,
! [Z_256] : ( multiply(sk_c7,multiply(sk_c6,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30173]) ).
tff(c_30333,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30114,c_30321]) ).
tff(c_30706,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30589,c_30333]) ).
tff(c_90,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_30129,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_30049,c_90]) ).
tff(c_30710,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30589,c_30129]) ).
tff(c_30794,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30706,c_30710]) ).
tff(c_30700,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30589,c_30589,c_30585]) ).
tff(c_30798,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30794,c_30794,c_30794,c_30700]) ).
tff(c_30202,plain,
! [X_2,Z_249] : ( multiply(inverse(X_2),multiply(X_2,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30188]) ).
tff(c_30954,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30798,c_30202]) ).
tff(c_30960,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30954]) ).
tff(c_30717,plain,
multiply(sk_c3,sk_c8) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30589,c_30049]) ).
tff(c_30797,plain,
multiply(sk_c3,sk_c7) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30794,c_30717]) ).
tff(c_30963,plain,
multiply(sk_c3,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30960,c_30797]) ).
tff(c_31255,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31254,c_30963]) ).
tff(c_78,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_30092,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_30049,c_78]) ).
tff(c_31266,plain,
! [X_269] : ( multiply(inverse(inverse(X_269)),identity) = X_269 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30839]) ).
tff(c_31284,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_30092,c_31266]) ).
tff(c_31292,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30899,c_31284]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_30119,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_30049,c_80]) ).
tff(c_30712,plain,
multiply(sk_c4,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30589,c_30119]) ).
tff(c_30828,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30794,c_30712]) ).
tff(c_30967,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_30960,c_30828]) ).
tff(c_31295,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31292,c_30967]) ).
tff(c_31299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31255,c_31295]) ).
tff(c_31301,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_31335,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31301,c_16]) ).
tff(c_31494,plain,
! [X_277,Z_278] : ( multiply(inverse(X_277),multiply(X_277,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31413]) ).
tff(c_31536,plain,
multiply(inverse(sk_c6),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31335,c_31494]) ).
tff(c_31588,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30048,c_31536]) ).
tff(c_31427,plain,
! [X_2,Z_272] : ( multiply(inverse(X_2),multiply(X_2,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31413]) ).
tff(c_31670,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31588,c_31427]) ).
tff(c_31676,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31670]) ).
tff(c_31678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31493,c_31676]) ).
tff(c_31680,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_31480]) ).
tff(c_31692,plain,
multiply(sk_c3,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31680,c_30049]) ).
tff(c_32018,plain,
multiply(sk_c1,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32017,c_31692]) ).
tff(c_31300,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_31305,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31300,c_4]) ).
tff(c_31859,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_31305,c_31820]) ).
tff(c_32030,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31877,c_31859]) ).
tff(c_31347,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_30049,c_80]) ).
tff(c_31686,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31680,c_31347]) ).
tff(c_32031,plain,
multiply(sk_c1,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32030,c_31686]) ).
tff(c_32035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32018,c_32031]) ).
tff(c_32037,plain,
multiply(sk_c2,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_32875,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32037,c_44]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_32119,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32037,c_42]) ).
tff(c_32036,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_32041,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32036,c_4]) ).
tff(c_32126,plain,
! [X_284,Y_285,Z_286] : ( multiply(multiply(X_284,Y_285),Z_286) = multiply(X_284,multiply(Y_285,Z_286)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32165,plain,
! [Z_286] : ( multiply(sk_c9,multiply(sk_c5,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_32041,c_32126]) ).
tff(c_32317,plain,
! [Z_293] : ( multiply(sk_c9,multiply(sk_c5,Z_293)) = Z_293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32165]) ).
tff(c_32329,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32119,c_32317]) ).
tff(c_32051,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_32174,plain,
! [Z_286] : ( multiply(sk_c10,multiply(sk_c1,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_32126]) ).
tff(c_32294,plain,
! [Z_292] : ( multiply(sk_c10,multiply(sk_c1,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32174]) ).
tff(c_32306,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32051,c_32294]) ).
tff(c_32374,plain,
! [Z_296] : ( multiply(sk_c1,multiply(sk_c10,Z_296)) = multiply(sk_c9,Z_296) ),
inference(superposition,[status(thm),theory(equality)],[c_32051,c_32126]) ).
tff(c_32392,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_32306,c_32374]) ).
tff(c_32414,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32329,c_32051,c_32392]) ).
tff(c_32107,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32037,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_32070,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32037,c_46]) ).
tff(c_32074,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32070,c_4]) ).
tff(c_32156,plain,
! [Z_286] : ( multiply(sk_c7,multiply(sk_c6,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_32074,c_32126]) ).
tff(c_32358,plain,
! [Z_295] : ( multiply(sk_c7,multiply(sk_c6,Z_295)) = Z_295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32156]) ).
tff(c_32370,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32107,c_32358]) ).
tff(c_32450,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32414,c_32370]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_32101,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32037,c_48]) ).
tff(c_32424,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32414,c_32101]) ).
tff(c_32540,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32450,c_32424]) ).
tff(c_32418,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32414,c_32306]) ).
tff(c_32545,plain,
multiply(sk_c10,sk_c7) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32540,c_32418]) ).
tff(c_32177,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = multiply(identity,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32126]) ).
tff(c_32191,plain,
! [X_2,Z_286] : ( multiply(inverse(X_2),multiply(X_2,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32177]) ).
tff(c_32674,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32545,c_32191]) ).
tff(c_32680,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32674]) ).
tff(c_32430,plain,
multiply(sk_c8,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32414,c_141]) ).
tff(c_32543,plain,
multiply(sk_c7,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32540,c_32430]) ).
tff(c_32816,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32680,c_32543]) ).
tff(c_32688,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32680,c_32540]) ).
tff(c_32428,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_32414,c_32037]) ).
tff(c_32788,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32688,c_32688,c_32428]) ).
tff(c_32817,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32816,c_32788]) ).
tff(c_32821,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32817]) ).
tff(c_32822,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_32827,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32822,c_4]) ).
tff(c_32901,plain,
! [X_302,Y_303,Z_304] : ( multiply(multiply(X_302,Y_303),Z_304) = multiply(X_302,multiply(Y_303,Z_304)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32934,plain,
! [Z_304] : ( multiply(sk_c7,multiply(sk_c6,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_32827,c_32901]) ).
tff(c_33038,plain,
! [Z_309] : ( multiply(sk_c7,multiply(sk_c6,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32934]) ).
tff(c_33050,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32875,c_33038]) ).
tff(c_32949,plain,
! [X_2,Z_304] : ( multiply(inverse(X_2),multiply(X_2,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32901]) ).
tff(c_33097,plain,
! [X_312,Z_313] : ( multiply(inverse(X_312),multiply(X_312,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32949]) ).
tff(c_33118,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33050,c_33097]) ).
tff(c_33203,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33118]) ).
tff(c_33205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33079,c_33203]) ).
tff(c_33207,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_33065]) ).
tff(c_33224,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33207,c_141]) ).
tff(c_33270,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_33224,c_2]) ).
tff(c_32881,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32037,c_42]) ).
tff(c_32937,plain,
! [Z_304] : ( multiply(sk_c9,multiply(sk_c5,Z_304)) = multiply(identity,Z_304) ),
inference(superposition,[status(thm),theory(equality)],[c_32041,c_32901]) ).
tff(c_33015,plain,
! [Z_308] : ( multiply(sk_c9,multiply(sk_c5,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32937]) ).
tff(c_33027,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_32881,c_33015]) ).
tff(c_33211,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33207,c_33207,c_33027]) ).
tff(c_33226,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33211]) ).
tff(c_33222,plain,
multiply(sk_c2,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_33207,c_32037]) ).
tff(c_33347,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33270,c_33226,c_33222]) ).
tff(c_33349,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_33403,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33349,c_58]) ).
tff(c_33348,plain,
inverse(sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_33353,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33348,c_4]) ).
tff(c_33467,plain,
! [Z_317] : ( multiply(sk_c7,multiply(sk_c6,Z_317)) = multiply(identity,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_33353,c_33434]) ).
tff(c_34245,plain,
! [Z_336] : ( multiply(sk_c7,multiply(sk_c6,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33467]) ).
tff(c_34257,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33403,c_34245]) ).
tff(c_34945,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_34257,c_34921]) ).
tff(c_35015,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34945]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_33390,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33349,c_56]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_33373,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33349,c_54]) ).
tff(c_33377,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33373,c_4]) ).
tff(c_33461,plain,
! [Z_317] : ( multiply(sk_c9,multiply(sk_c5,Z_317)) = multiply(identity,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_33377,c_33434]) ).
tff(c_34222,plain,
! [Z_335] : ( multiply(sk_c9,multiply(sk_c5,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33461]) ).
tff(c_34234,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33390,c_34222]) ).
tff(c_35026,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_35015,c_35015,c_34234]) ).
tff(c_35035,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35026]) ).
tff(c_35002,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_34921]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_33413,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33349,c_52]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_33357,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_33349,c_50]) ).
tff(c_33361,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33357,c_4]) ).
tff(c_33464,plain,
! [Z_317] : ( multiply(sk_c10,multiply(sk_c4,Z_317)) = multiply(identity,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_33361,c_33434]) ).
tff(c_34898,plain,
! [Z_345] : ( multiply(sk_c10,multiply(sk_c4,Z_345)) = Z_345 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33464]) ).
tff(c_34910,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33413,c_34898]) ).
tff(c_34939,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34910,c_34921]) ).
tff(c_36433,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_35002,c_35015,c_34939]) ).
tff(c_35452,plain,
! [X_351,Z_352] : ( multiply(inverse(inverse(X_351)),Z_352) = multiply(X_351,Z_352) ),
inference(superposition,[status(thm),theory(equality)],[c_33489,c_34921]) ).
tff(c_35459,plain,
! [X_351] : ( multiply(X_351,identity) = X_351 ),
inference(superposition,[status(thm),theory(equality)],[c_35452,c_35008]) ).
tff(c_34292,plain,
! [Z_338] : ( multiply(sk_c6,multiply(sk_c7,Z_338)) = multiply(sk_c9,Z_338) ),
inference(superposition,[status(thm),theory(equality)],[c_33403,c_33434]) ).
tff(c_34307,plain,
multiply(sk_c9,sk_c9) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_34257,c_34292]) ).
tff(c_34320,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34234,c_33403,c_34307]) ).
tff(c_34323,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34320,c_34257]) ).
tff(c_62,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_33396,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_33349,c_62]) ).
tff(c_34328,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34320,c_33396]) ).
tff(c_34397,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34323,c_34328]) ).
tff(c_34324,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34320,c_34320,c_34234]) ).
tff(c_34528,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34397,c_34397,c_34397,c_34324]) ).
tff(c_34532,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34528,c_33489]) ).
tff(c_34538,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34532]) ).
tff(c_34331,plain,
inverse(sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34320,c_33373]) ).
tff(c_34404,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34397,c_34331]) ).
tff(c_34544,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34538,c_34404]) ).
tff(c_34616,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34544,c_4]) ).
tff(c_34669,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_34616,c_33489]) ).
tff(c_34681,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34669]) ).
tff(c_34685,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34681,c_34544]) ).
tff(c_34547,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34538,c_34397]) ).
tff(c_33903,plain,
! [X_328,Z_329] : ( multiply(inverse(X_328),multiply(X_328,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33476]) ).
tff(c_33954,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_33903]) ).
tff(c_33948,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_127,c_33903]) ).
tff(c_34103,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_33954,c_33948]) ).
tff(c_34047,plain,
! [X_332] : ( multiply(inverse(inverse(X_332)),identity) = X_332 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33903]) ).
tff(c_34065,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_33357,c_34047]) ).
tff(c_34076,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_33948,c_34065]) ).
tff(c_34116,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_34103,c_34076]) ).
tff(c_33564,plain,
! [X4_322] :
( ( inverse(X4_322) != sk_c10 )
| ( multiply(X4_322,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_33572,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33564]) ).
tff(c_33578,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_33572]) ).
tff(c_33541,plain,
! [Z_321] : ( multiply(sk_c7,multiply(sk_c6,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33467]) ).
tff(c_33553,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33403,c_33541]) ).
tff(c_33642,plain,
! [X_325,Z_326] : ( multiply(inverse(X_325),multiply(X_325,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33476]) ).
tff(c_33672,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33553,c_33642]) ).
tff(c_33744,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33672]) ).
tff(c_33746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33578,c_33744]) ).
tff(c_33748,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_33572]) ).
tff(c_33449,plain,
! [Z_317] : ( multiply(sk_c4,multiply(sk_c9,Z_317)) = multiply(sk_c10,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_33413,c_33434]) ).
tff(c_34151,plain,
! [Z_333] : ( multiply(sk_c10,Z_333) = multiply(sk_c1,Z_333) ),
inference(demodulation,[status(thm),theory(equality)],[c_34116,c_2,c_33748,c_33449]) ).
tff(c_33754,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33748,c_33413]) ).
tff(c_33930,plain,
multiply(inverse(sk_c4),sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33754,c_33903]) ).
tff(c_33969,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33357,c_33930]) ).
tff(c_34161,plain,
multiply(sk_c1,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34151,c_33969]) ).
tff(c_33504,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_33750,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33748,c_33504]) ).
tff(c_34192,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34161,c_33750]) ).
tff(c_34207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_34192]) ).
tff(c_34208,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_34261,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_34208]) ).
tff(c_34360,plain,
! [X7_339] :
( ( multiply(inverse(X7_339),sk_c8) != sk_c8 )
| ( multiply(X7_339,inverse(X7_339)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34320,c_34320,c_34261]) ).
tff(c_34373,plain,
( ( sk_c8 != identity )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34360]) ).
tff(c_34889,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34685,c_34547,c_34547,c_2,c_34547,c_34547,c_34373]) ).
tff(c_34890,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_34208]) ).
tff(c_35040,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35015,c_35015,c_35015,c_35015,c_35015,c_35015,c_34890]) ).
tff(c_35041,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_35040]) ).
tff(c_36076,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35459,c_35035,c_35041]) ).
tff(c_35033,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35015,c_33373]) ).
tff(c_35052,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35033,c_4]) ).
tff(c_35059,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_35052,c_33489]) ).
tff(c_35071,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35059]) ).
tff(c_35075,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35071,c_35033]) ).
tff(c_36078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36076,c_35075]) ).
tff(c_36079,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_35040]) ).
tff(c_102549,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36466,c_35035,c_36433,c_36466,c_36433,c_36433,c_36466,c_36433,c_36079]) ).
tff(c_102551,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_102549]) ).
tff(c_35032,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35015,c_33377]) ).
tff(c_36146,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_35032,c_33489]) ).
tff(c_36158,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36146]) ).
tff(c_36182,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36158,c_35033]) ).
tff(c_102553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102551,c_36182]) ).
tff(c_102554,plain,
! [X1_10,X6_7] :
( ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_102549]) ).
tff(c_102556,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_102554]) ).
tff(c_36440,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_36433,c_109]) ).
tff(c_102558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102556,c_36440]) ).
tff(c_102561,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_102554]) ).
tff(c_102563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102561,c_36440]) ).
tff(c_102565,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_72,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_102640,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102565,c_72]) ).
tff(c_74,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_102578,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_102565,c_74]) ).
tff(c_102582,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102578,c_4]) ).
tff(c_102697,plain,
! [Z_669] : ( multiply(sk_c7,multiply(sk_c6,Z_669)) = multiply(identity,Z_669) ),
inference(superposition,[status(thm),theory(equality)],[c_102582,c_102664]) ).
tff(c_103800,plain,
! [Z_692] : ( multiply(sk_c7,multiply(sk_c6,Z_692)) = Z_692 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102697]) ).
tff(c_103812,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102640,c_103800]) ).
tff(c_104716,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_103812,c_104689]) ).
tff(c_104783,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104716]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_102615,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_102565,c_66]) ).
tff(c_102564,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_102569,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102564,c_4]) ).
tff(c_102700,plain,
! [Z_669] : ( multiply(sk_c10,multiply(sk_c4,Z_669)) = multiply(identity,Z_669) ),
inference(superposition,[status(thm),theory(equality)],[c_102569,c_102664]) ).
tff(c_103823,plain,
! [Z_693] : ( multiply(sk_c10,multiply(sk_c4,Z_693)) = Z_693 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102700]) ).
tff(c_103835,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102615,c_103823]) ).
tff(c_104710,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_103835,c_104689]) ).
tff(c_106529,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_104770,c_104783,c_104710]) ).
tff(c_102719,plain,
! [X_2,Z_669] : ( multiply(inverse(X_2),multiply(X_2,Z_669)) = Z_669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_106556,plain,
! [X_737,Z_738] : ( multiply(inverse(inverse(X_737)),Z_738) = multiply(X_737,Z_738) ),
inference(superposition,[status(thm),theory(equality)],[c_104689,c_102719]) ).
tff(c_104776,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_104689]) ).
tff(c_106563,plain,
! [X_737] : ( multiply(X_737,identity) = X_737 ),
inference(superposition,[status(thm),theory(equality)],[c_106556,c_104776]) ).
tff(c_105234,plain,
! [X_714,Z_715] : ( multiply(inverse(inverse(X_714)),Z_715) = multiply(X_714,Z_715) ),
inference(superposition,[status(thm),theory(equality)],[c_104689,c_102719]) ).
tff(c_105241,plain,
! [X_714] : ( multiply(X_714,identity) = X_714 ),
inference(superposition,[status(thm),theory(equality)],[c_105234,c_104776]) ).
tff(c_70,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_102634,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102565,c_70]) ).
tff(c_68,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_102603,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102565,c_68]) ).
tff(c_102607,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102603,c_4]) ).
tff(c_102691,plain,
! [Z_669] : ( multiply(sk_c9,multiply(sk_c5,Z_669)) = multiply(identity,Z_669) ),
inference(superposition,[status(thm),theory(equality)],[c_102607,c_102664]) ).
tff(c_102721,plain,
! [Z_670] : ( multiply(sk_c9,multiply(sk_c5,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102691]) ).
tff(c_102733,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_102634,c_102721]) ).
tff(c_104795,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_104783,c_102733]) ).
tff(c_104805,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_104795]) ).
tff(c_103301,plain,
! [Z_683] : ( multiply(sk_c7,multiply(sk_c6,Z_683)) = Z_683 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102697]) ).
tff(c_103313,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102640,c_103301]) ).
tff(c_103373,plain,
! [X_687,Z_688] : ( multiply(inverse(X_687),multiply(X_687,Z_688)) = Z_688 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_103403,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_103313,c_103373]) ).
tff(c_103470,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103403]) ).
tff(c_103490,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_103470,c_102603]) ).
tff(c_103525,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_103490,c_4]) ).
tff(c_103542,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_103525,c_102719]) ).
tff(c_103554,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103542]) ).
tff(c_103558,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_103554,c_103490]) ).
tff(c_103483,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_103470,c_103470,c_102733]) ).
tff(c_103494,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103483]) ).
tff(c_103080,plain,
! [X_678,Z_679] : ( multiply(inverse(X_678),multiply(X_678,Z_679)) = Z_679 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_103119,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_113,c_103080]) ).
tff(c_102804,plain,
! [X4_674] :
( ( inverse(X4_674) != sk_c10 )
| ( multiply(X4_674,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_102815,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102804]) ).
tff(c_102822,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_102815]) ).
tff(c_102781,plain,
! [Z_673] : ( multiply(sk_c7,multiply(sk_c6,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102697]) ).
tff(c_102793,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_102640,c_102781]) ).
tff(c_102836,plain,
! [X_676,Z_677] : ( multiply(inverse(X_676),multiply(X_676,Z_677)) = Z_677 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_102857,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102793,c_102836]) ).
tff(c_102930,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_102857]) ).
tff(c_102932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102822,c_102930]) ).
tff(c_102934,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_102815]) ).
tff(c_102758,plain,
! [Z_672] : ( multiply(sk_c10,multiply(sk_c4,Z_672)) = Z_672 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102700]) ).
tff(c_102770,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_102615,c_102758]) ).
tff(c_102938,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102934,c_102770]) ).
tff(c_103098,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_102938,c_103080]) ).
tff(c_103255,plain,
sk_c10 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_103119,c_103098]) ).
tff(c_103265,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_103255,c_109]) ).
tff(c_102820,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_102770,c_102804]) ).
tff(c_103262,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_103255,c_103255,c_102820]) ).
tff(c_103285,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103265,c_103262]) ).
tff(c_103286,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_103287,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_103286]) ).
tff(c_103500,plain,
! [X7_689] :
( ( multiply(inverse(X7_689),sk_c8) != identity )
| ( multiply(X7_689,inverse(X7_689)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103470,c_103470,c_103287]) ).
tff(c_103513,plain,
multiply(sk_c8,inverse(sk_c8)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_103500]) ).
tff(c_103785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103558,c_103494,c_2,c_103494,c_103513]) ).
tff(c_103786,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_103286]) ).
tff(c_103860,plain,
! [X5_695] :
( ( inverse(X5_695) != sk_c9 )
| ( multiply(X5_695,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_103786]) ).
tff(c_103877,plain,
( ( inverse(inverse(sk_c9)) != sk_c9 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_103860]) ).
tff(c_103887,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_103877]) ).
tff(c_103888,plain,
! [X_696,Z_697] : ( multiply(inverse(X_696),multiply(X_696,Z_697)) = Z_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_103915,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_103812,c_103888]) ).
tff(c_103982,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103915]) ).
tff(c_103997,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_103982,c_103982,c_102733]) ).
tff(c_104007,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103997]) ).
tff(c_104009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103887,c_104007]) ).
tff(c_104011,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_103877]) ).
tff(c_103881,plain,
( ( inverse(identity) != sk_c9 )
| ( sk_c9 != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_103860]) ).
tff(c_103884,plain,
sk_c9 != sk_c8,
inference(splitLeft,[status(thm)],[c_103881]) ).
tff(c_104045,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_104011,c_103884]) ).
tff(c_104168,plain,
! [X_700,Z_701] : ( multiply(inverse(X_700),multiply(X_700,Z_701)) = Z_701 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_104216,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_103812,c_104168]) ).
tff(c_104277,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104216]) ).
tff(c_104279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104045,c_104277]) ).
tff(c_104281,plain,
sk_c9 = sk_c8,
inference(splitRight,[status(thm)],[c_103881]) ).
tff(c_104289,plain,
multiply(sk_c6,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104281,c_102640]) ).
tff(c_102716,plain,
! [Z_669] : ( multiply(sk_c7,multiply(sk_c6,Z_669)) = Z_669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102697]) ).
tff(c_104352,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_104289,c_102716]) ).
tff(c_76,plain,
( ( multiply(sk_c7,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_102625,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_102565,c_76]) ).
tff(c_104291,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104281,c_102625]) ).
tff(c_104370,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104352,c_104291]) ).
tff(c_104389,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104370,c_104281]) ).
tff(c_104398,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c7 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104370,c_104389,c_104389,c_103877]) ).
tff(c_104399,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_104398]) ).
tff(c_104286,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104281,c_103812]) ).
tff(c_104433,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104370,c_104286]) ).
tff(c_104441,plain,
! [X_702,Z_703] : ( multiply(inverse(X_702),multiply(X_702,Z_703)) = Z_703 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_102706]) ).
tff(c_104459,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_104433,c_104441]) ).
tff(c_104511,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104459]) ).
tff(c_104513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104399,c_104511]) ).
tff(c_104515,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_104398]) ).
tff(c_104280,plain,
inverse(identity) != sk_c9,
inference(splitRight,[status(thm)],[c_103881]) ).
tff(c_104308,plain,
inverse(identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_104281,c_104280]) ).
tff(c_104387,plain,
inverse(identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_104370,c_104308]) ).
tff(c_104563,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_104387]) ).
tff(c_104521,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_102578]) ).
tff(c_104559,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104521,c_4]) ).
tff(c_104655,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_104559,c_102719]) ).
tff(c_104667,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104655]) ).
tff(c_104671,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104667,c_104521]) ).
tff(c_104674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104563,c_104671]) ).
tff(c_104675,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_103786]) ).
tff(c_104814,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_104805,c_104783,c_104783,c_104783,c_104675]) ).
tff(c_104815,plain,
! [X2_11] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitLeft,[status(thm)],[c_104814]) ).
tff(c_106111,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_105241,c_104815]) ).
tff(c_104802,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104783,c_102603]) ).
tff(c_104822,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_104802,c_4]) ).
tff(c_104852,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_104822,c_102719]) ).
tff(c_104864,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_104852]) ).
tff(c_104869,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_104864,c_104802]) ).
tff(c_106113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106111,c_104869]) ).
tff(c_106114,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_104814]) ).
tff(c_128931,plain,
! [X1_10,X6_7] :
( ( sk_c1 != X1_10 )
| ( inverse(X1_10) != sk_c1 )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106529,c_106563,c_106529,c_106529,c_106563,c_106529,c_106114]) ).
tff(c_128933,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_128931]) ).
tff(c_106537,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_106529,c_109]) ).
tff(c_128935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128933,c_106537]) ).
tff(c_128937,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_128931]) ).
tff(c_128939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128937,c_106537]) ).
tff(c_128941,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_30,plain,
( ( multiply(sk_c6,sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_151724,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_128941,c_30]) ).
tff(c_32,plain,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_151690,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_128941,c_32]) ).
tff(c_151694,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_151690,c_4]) ).
tff(c_151794,plain,
! [Z_1103] : ( multiply(sk_c7,multiply(sk_c6,Z_1103)) = multiply(identity,Z_1103) ),
inference(superposition,[status(thm),theory(equality)],[c_151694,c_151767]) ).
tff(c_151820,plain,
! [Z_1104] : ( multiply(sk_c7,multiply(sk_c6,Z_1104)) = Z_1104 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151794]) ).
tff(c_151832,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_151724,c_151820]) ).
tff(c_152372,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_151832,c_152336]) ).
tff(c_152425,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_152372]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_151719,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_128941,c_28]) ).
tff(c_128940,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_128945,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_128940,c_4]) ).
tff(c_151803,plain,
! [Z_1103] : ( multiply(sk_c9,multiply(sk_c5,Z_1103)) = multiply(identity,Z_1103) ),
inference(superposition,[status(thm),theory(equality)],[c_128945,c_151767]) ).
tff(c_151843,plain,
! [Z_1105] : ( multiply(sk_c9,multiply(sk_c5,Z_1105)) = Z_1105 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151803]) ).
tff(c_151855,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_151719,c_151843]) ).
tff(c_152436,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_152425,c_152425,c_151855]) ).
tff(c_152448,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_152436]) ).
tff(c_129054,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_129096,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_129054]) ).
tff(c_129109,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_129096]) ).
tff(c_130856,plain,
! [X_935,Z_936] : ( multiply(inverse(X_935),multiply(X_935,Z_936)) = Z_936 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129096]) ).
tff(c_132541,plain,
! [X_959,Z_960] : ( multiply(inverse(inverse(X_959)),Z_960) = multiply(X_959,Z_960) ),
inference(superposition,[status(thm),theory(equality)],[c_129109,c_130856]) ).
tff(c_130943,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_130856]) ).
tff(c_132548,plain,
! [X_959] : ( multiply(X_959,identity) = X_959 ),
inference(superposition,[status(thm),theory(equality)],[c_132541,c_130943]) ).
tff(c_131364,plain,
! [X_939,Z_940] : ( multiply(inverse(inverse(X_939)),Z_940) = multiply(X_939,Z_940) ),
inference(superposition,[status(thm),theory(equality)],[c_130856,c_129109]) ).
tff(c_131371,plain,
! [X_939] : ( multiply(X_939,identity) = X_939 ),
inference(superposition,[status(thm),theory(equality)],[c_131364,c_130943]) ).
tff(c_129006,plain,
multiply(sk_c6,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_128941,c_30]) ).
tff(c_128979,plain,
inverse(sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_128941,c_32]) ).
tff(c_128983,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_128979,c_4]) ).
tff(c_129084,plain,
! [Z_898] : ( multiply(sk_c7,multiply(sk_c6,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_128983,c_129054]) ).
tff(c_129699,plain,
! [Z_911] : ( multiply(sk_c7,multiply(sk_c6,Z_911)) = Z_911 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_129711,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_129006,c_129699]) ).
tff(c_130892,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129711,c_130856]) ).
tff(c_130950,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130892]) ).
tff(c_129019,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_128941,c_28]) ).
tff(c_129093,plain,
! [Z_898] : ( multiply(sk_c9,multiply(sk_c5,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_128945,c_129054]) ).
tff(c_130021,plain,
! [Z_920] : ( multiply(sk_c9,multiply(sk_c5,Z_920)) = Z_920 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129093]) ).
tff(c_130033,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129019,c_130021]) ).
tff(c_130960,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_130950,c_130950,c_130033]) ).
tff(c_130972,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130960]) ).
tff(c_130664,plain,
! [X_932,Z_933] : ( multiply(inverse(X_932),multiply(X_932,Z_933)) = Z_933 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129096]) ).
tff(c_130700,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129711,c_130664]) ).
tff(c_130752,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130700]) ).
tff(c_129808,plain,
! [X_917,Z_918] : ( multiply(inverse(X_917),multiply(X_917,Z_918)) = Z_918 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129096]) ).
tff(c_129847,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129711,c_129808]) ).
tff(c_129905,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129847]) ).
tff(c_129746,plain,
! [Z_913] : ( multiply(sk_c9,multiply(sk_c5,Z_913)) = Z_913 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129093]) ).
tff(c_129758,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129019,c_129746]) ).
tff(c_129916,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129905,c_129905,c_129758]) ).
tff(c_129929,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129916]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_129012,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_128941,c_24]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_128993,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_128941,c_22]) ).
tff(c_128997,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_128993,c_4]) ).
tff(c_129081,plain,
! [Z_898] : ( multiply(sk_c10,multiply(sk_c4,Z_898)) = multiply(identity,Z_898) ),
inference(superposition,[status(thm),theory(equality)],[c_128997,c_129054]) ).
tff(c_129135,plain,
! [Z_900] : ( multiply(sk_c10,multiply(sk_c4,Z_900)) = Z_900 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129081]) ).
tff(c_129147,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129012,c_129135]) ).
tff(c_129174,plain,
! [X4_902] :
( ( inverse(X4_902) != sk_c10 )
| ( multiply(X4_902,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_129190,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_129147,c_129174]) ).
tff(c_129185,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129174]) ).
tff(c_129199,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_129185]) ).
tff(c_129112,plain,
! [Z_899] : ( multiply(sk_c7,multiply(sk_c6,Z_899)) = Z_899 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129084]) ).
tff(c_129124,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_129006,c_129112]) ).
tff(c_129226,plain,
! [X_905,Z_906] : ( multiply(inverse(X_905),multiply(X_905,Z_906)) = Z_906 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129096]) ).
tff(c_129262,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129124,c_129226]) ).
tff(c_129320,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129262]) ).
tff(c_129322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129199,c_129320]) ).
tff(c_129324,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_129185]) ).
tff(c_129328,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129324,c_129147]) ).
tff(c_129457,plain,
! [X_907,Z_908] : ( multiply(inverse(X_907),multiply(X_907,Z_908)) = Z_908 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129096]) ).
tff(c_129475,plain,
multiply(inverse(sk_c10),identity) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_129328,c_129457]) ).
tff(c_128965,plain,
inverse(sk_c3) = sk_c10,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_128969,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_128965,c_4]) ).
tff(c_129511,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_128969,c_129457]) ).
tff(c_129678,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129475,c_129511]) ).
tff(c_129694,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_129678,c_128965]) ).
tff(c_129697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129190,c_129694]) ).
tff(c_129698,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_129745,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_129698]) ).
tff(c_129949,plain,
! [X7_919] :
( ( multiply(inverse(X7_919),identity) != identity )
| ( multiply(X7_919,inverse(X7_919)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129905,c_129929,c_129905,c_129745]) ).
tff(c_129960,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_129949]) ).
tff(c_129967,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129960]) ).
tff(c_129927,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129905,c_128940]) ).
tff(c_129944,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129927,c_4]) ).
tff(c_130000,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_129944,c_129109]) ).
tff(c_130012,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130000]) ).
tff(c_130016,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130012,c_129927]) ).
tff(c_130019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129967,c_130016]) ).
tff(c_130020,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_129698]) ).
tff(c_130071,plain,
! [X5_923] :
( ( inverse(X5_923) != sk_c9 )
| ( multiply(X5_923,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_130020]) ).
tff(c_130093,plain,
inverse(sk_c9) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130033,c_130071]) ).
tff(c_130763,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_130752,c_130752,c_130093]) ).
tff(c_130773,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130752,c_128940]) ).
tff(c_130784,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130773,c_4]) ).
tff(c_130791,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_130784,c_129109]) ).
tff(c_130803,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130791]) ).
tff(c_130807,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130803,c_130773]) ).
tff(c_130854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130763,c_130807]) ).
tff(c_130855,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_130020]) ).
tff(c_131062,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130950,c_130972,c_130950,c_130950,c_130950,c_130855]) ).
tff(c_131063,plain,
! [X2_11] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity ) ),
inference(splitLeft,[status(thm)],[c_131062]) ).
tff(c_132233,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_131371,c_131063]) ).
tff(c_130971,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130950,c_128940]) ).
tff(c_131023,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_130971,c_4]) ).
tff(c_131098,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_131023,c_129109]) ).
tff(c_131110,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131098]) ).
tff(c_131115,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131110,c_130971]) ).
tff(c_132235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132233,c_131115]) ).
tff(c_132236,plain,
! [X1_10,X6_7] :
( ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_131062]) ).
tff(c_151672,plain,
! [X1_10,X6_7] :
( ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132548,c_132548,c_132236]) ).
tff(c_151674,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_151672]) ).
tff(c_130925,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_128969,c_130856]) ).
tff(c_129722,plain,
! [Z_912] : ( multiply(sk_c10,multiply(sk_c4,Z_912)) = Z_912 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129081]) ).
tff(c_129734,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129012,c_129722]) ).
tff(c_130886,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_129734,c_130856]) ).
tff(c_132508,plain,
sk_c3 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_130925,c_130950,c_130886]) ).
tff(c_132514,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_132508,c_128965]) ).
tff(c_151676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151674,c_132514]) ).
tff(c_151678,plain,
inverse(sk_c10) != sk_c10,
inference(splitRight,[status(thm)],[c_151672]) ).
tff(c_151680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151678,c_132514]) ).
tff(c_151681,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_151890,plain,
! [X4_1107] :
( ( inverse(X4_1107) != sk_c10 )
| ( multiply(X4_1107,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_151901,plain,
( ( inverse(inverse(sk_c10)) != sk_c10 )
| ( sk_c9 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_151890]) ).
tff(c_151908,plain,
sk_c9 != identity,
inference(splitLeft,[status(thm)],[c_151901]) ).
tff(c_151909,plain,
! [X_1108,Z_1109] : ( multiply(inverse(X_1108),multiply(X_1108,Z_1109)) = Z_1109 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151806]) ).
tff(c_151939,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_151832,c_151909]) ).
tff(c_151991,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_151939]) ).
tff(c_151993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151908,c_151991]) ).
tff(c_151995,plain,
sk_c9 = identity,
inference(splitRight,[status(thm)],[c_151901]) ).
tff(c_151682,plain,
inverse(sk_c3) != sk_c10,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_151714,plain,
multiply(sk_c4,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_151682,c_66]) ).
tff(c_152005,plain,
multiply(sk_c4,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_151995,c_151714]) ).
tff(c_152146,plain,
! [X_1111,Z_1112] : ( multiply(inverse(X_1111),multiply(X_1111,Z_1112)) = Z_1112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151806]) ).
tff(c_152170,plain,
multiply(inverse(sk_c4),sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_152005,c_152146]) ).
tff(c_152199,plain,
multiply(sk_c10,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_151681,c_152170]) ).
tff(c_151791,plain,
! [Z_1103] : ( multiply(sk_c4,multiply(sk_c9,Z_1103)) = multiply(sk_c10,Z_1103) ),
inference(superposition,[status(thm),theory(equality)],[c_151714,c_151767]) ).
tff(c_152019,plain,
! [Z_1103] : ( multiply(sk_c4,Z_1103) = multiply(sk_c10,Z_1103) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151995,c_151791]) ).
tff(c_151859,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_152252,plain,
! [X4_1113] :
( ( inverse(X4_1113) != sk_c10 )
| ( multiply(X4_1113,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151995,c_151859]) ).
tff(c_152259,plain,
( ( inverse(sk_c4) != sk_c10 )
| ( multiply(sk_c10,sk_c10) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_152019,c_152252]) ).
tff(c_152275,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152199,c_151681,c_152259]) ).
tff(c_152276,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c9) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,sk_c9) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X2_11) != sk_c9 )
| ( multiply(inverse(X7_9),sk_c8) != sk_c9 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_152467,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(inverse(X7_9),identity) != identity )
| ( multiply(X7_9,inverse(X7_9)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152425,c_152448,c_152425,c_152425,c_152448,c_152425,c_152425,c_152425,c_152448,c_152425,c_152425,c_152276]) ).
tff(c_152468,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),identity) != identity )
| ( multiply(X7_9,inverse(X7_9)) != identity ) ),
inference(splitLeft,[status(thm)],[c_152467]) ).
tff(c_156992,plain,
! [X7_9] : ( inverse(X7_9) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_152855,c_152821,c_152468]) ).
tff(c_152446,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_152425,c_128940]) ).
tff(c_152463,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_152446,c_4]) ).
tff(c_152505,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_152463,c_151818]) ).
tff(c_152517,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_152505]) ).
tff(c_152521,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_152517,c_152446]) ).
tff(c_156994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156992,c_152521]) ).
tff(c_156995,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( multiply(X2_11,identity) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X1_10,identity) != sk_c10 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X6_7,identity) != sk_c10 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_152467]) ).
tff(c_188786,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( identity != X2_11 )
| ( inverse(X2_11) != identity )
| ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157278,c_157278,c_157278,c_157278,c_156995]) ).
tff(c_188788,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_188786]) ).
tff(c_151733,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_151682,c_76]) ).
tff(c_151782,plain,
! [Z_1103] : ( multiply(sk_c7,multiply(sk_c8,Z_1103)) = multiply(sk_c9,Z_1103) ),
inference(superposition,[status(thm),theory(equality)],[c_151733,c_151767]) ).
tff(c_157020,plain,
! [Z_1178] : ( multiply(sk_c7,Z_1178) = Z_1178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_152425,c_152448,c_151782]) ).
tff(c_157035,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_157020,c_151694]) ).
tff(c_157018,plain,
! [Z_1103] : ( multiply(sk_c7,Z_1103) = Z_1103 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_152425,c_152448,c_151782]) ).
tff(c_152438,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_152425,c_151832]) ).
tff(c_157019,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157018,c_152438]) ).
tff(c_157051,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157019,c_151690]) ).
tff(c_157089,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157035,c_157051]) ).
tff(c_188790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188788,c_157089]) ).
tff(c_188791,plain,
! [X6_7,X1_10,X2_11] :
( ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 )
| ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( identity != X2_11 )
| ( inverse(X2_11) != identity ) ),
inference(splitRight,[status(thm)],[c_188786]) ).
tff(c_189760,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_188791]) ).
tff(c_189762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189760,c_157089]) ).
tff(c_189763,plain,
! [X1_10,X6_7] :
( ( sk_c10 != X1_10 )
| ( inverse(X1_10) != sk_c10 )
| ( sk_c10 != X6_7 )
| ( inverse(X6_7) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_188791]) ).
tff(c_189765,plain,
inverse(sk_c10) != sk_c10,
inference(splitLeft,[status(thm)],[c_189763]) ).
tff(c_151686,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_151681,c_4]) ).
tff(c_152396,plain,
multiply(inverse(sk_c10),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_151686,c_152336]) ).
tff(c_151797,plain,
! [Z_1103] : ( multiply(sk_c10,multiply(sk_c4,Z_1103)) = multiply(identity,Z_1103) ),
inference(superposition,[status(thm),theory(equality)],[c_151686,c_151767]) ).
tff(c_152284,plain,
! [Z_1114] : ( multiply(sk_c10,multiply(sk_c4,Z_1114)) = Z_1114 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151797]) ).
tff(c_152296,plain,
multiply(sk_c10,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_151714,c_152284]) ).
tff(c_152360,plain,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_152296,c_152336]) ).
tff(c_157241,plain,
sk_c4 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_152396,c_152425,c_152360]) ).
tff(c_157246,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_157241,c_151681]) ).
tff(c_189767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189765,c_157246]) ).
tff(c_191004,plain,
inverse(sk_c10) != sk_c10,
inference(splitRight,[status(thm)],[c_189763]) ).
tff(c_191006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191004,c_157246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:01:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 28.39/16.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.79/16.29
% 28.79/16.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.02/16.37
% 29.02/16.37 Inference rules
% 29.02/16.37 ----------------------
% 29.02/16.37 #Ref : 0
% 29.02/16.37 #Sup : 45831
% 29.02/16.37 #Fact : 0
% 29.02/16.37 #Define : 0
% 29.02/16.37 #Split : 76
% 29.02/16.37 #Chain : 0
% 29.02/16.37 #Close : 0
% 29.02/16.37
% 29.02/16.37 Ordering : KBO
% 29.02/16.37
% 29.02/16.37 Simplification rules
% 29.02/16.37 ----------------------
% 29.02/16.37 #Subsume : 21
% 29.02/16.37 #Demod : 153338
% 29.02/16.37 #Tautology : 37199
% 29.02/16.37 #SimpNegUnit : 108
% 29.02/16.37 #BackRed : 1035
% 29.02/16.37
% 29.02/16.37 #Partial instantiations: 0
% 29.02/16.37 #Strategies tried : 1
% 29.02/16.37
% 29.02/16.37 Timing (in seconds)
% 29.02/16.37 ----------------------
% 29.02/16.38 Preprocessing : 0.55
% 29.02/16.38 Parsing : 0.21
% 29.02/16.38 CNF conversion : 0.03
% 29.02/16.38 Main loop : 14.63
% 29.02/16.38 Inferencing : 3.03
% 29.02/16.38 Reduction : 9.52
% 29.02/16.38 Demodulation : 8.96
% 29.02/16.38 BG Simplification : 0.23
% 29.02/16.38 Subsumption : 1.30
% 29.31/16.38 Abstraction : 0.72
% 29.31/16.38 MUC search : 0.00
% 29.31/16.38 Cooper : 0.00
% 29.31/16.38 Total : 15.38
% 29.31/16.38 Index Insertion : 0.00
% 29.31/16.38 Index Deletion : 0.00
% 29.31/16.38 Index Matching : 0.00
% 29.31/16.38 BG Taut test : 0.00
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