TSTP Solution File: GRP061-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP061-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 10:39:45 EDT 2023
% Result : Unsatisfiable 228.43s 105.58s
% Output : CNFRefutation 228.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 11
% Syntax : Number of formulae : 219 ( 207 unt; 9 typ; 0 def)
% Number of atoms : 215 ( 212 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 14 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 15 ( 3 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 662 (; 662 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > c3 > b3 > b2 > b1 > a3 > a2 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(b3,type,
b3: $i ).
tff(a2,type,
a2: $i ).
tff(f_24,axiom,
! [X,Y,Z,U] : ( inverse(multiply(X,multiply(Y,multiply(multiply(inverse(Y),Z),inverse(multiply(U,multiply(X,Z))))))) = U ),
file(unknown,unknown) ).
tff(f_32,axiom,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
file(unknown,unknown) ).
tff(c_5,plain,
! [X_5,Y_6,Z_7,U_8] : ( inverse(multiply(X_5,multiply(Y_6,multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))))) = U_8 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3,U_4] : ( inverse(multiply(X_1,multiply(Y_2,multiply(multiply(inverse(Y_2),Z_3),inverse(multiply(U_4,multiply(X_1,Z_3))))))) = U_4 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_11,plain,
! [Y_6,U_8,X_5,Z_7,Y_2] : ( inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))),U_8)))) = X_5 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_26,plain,
! [Z_10,Y_11,Y_13,X_12,U_9] : ( inverse(multiply(Y_11,multiply(Y_13,multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),Z_10),inverse(multiply(U_9,multiply(X_12,Z_10))))),U_9)))) = X_12 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_53,plain,
! [Y_6,Y_11,U_8,Y_13,X_5,Z_7,Y_2] : ( inverse(multiply(Y_11,multiply(Y_13,multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))),U_8)),X_5)),Y_6)))) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_26]) ).
tff(c_70,plain,
! [U_17,X_19,U_14,X_20,Z_16,Y_18,Z_15] : ( inverse(multiply(X_19,multiply(multiply(X_20,multiply(Y_18,multiply(multiply(inverse(Y_18),Z_15),inverse(multiply(U_14,multiply(X_20,Z_15)))))),multiply(multiply(U_14,Z_16),inverse(multiply(U_17,multiply(X_19,Z_16))))))) = U_17 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_2445,plain,
! [U_109,Y_108,X_104,Z_107,U_102,X_103,Y_106,Z_105,Y_110] : ( multiply(X_103,multiply(Y_108,multiply(multiply(inverse(Y_108),Z_105),inverse(multiply(U_102,multiply(X_103,Z_105)))))) = inverse(multiply(Y_106,multiply(Y_110,multiply(multiply(inverse(Y_110),multiply(multiply(inverse(Y_106),multiply(multiply(U_102,Z_107),inverse(multiply(U_109,multiply(X_104,Z_107))))),U_109)),X_104)))) ),
inference(superposition,[status(thm),theory(equality)],[c_70,c_11]) ).
tff(c_44,plain,
! [Z_10,Y_11,Y_13,X_12,U_9,Y_2] : ( inverse(multiply(Y_13,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),Z_10),inverse(multiply(U_9,multiply(X_12,Z_10))))),U_9)),X_12)))) = Y_11 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_2]) ).
tff(c_2795,plain,
! [X_103,Y_108,Z_105,Y_11] : ( multiply(X_103,multiply(Y_108,multiply(multiply(inverse(Y_108),Z_105),inverse(multiply(inverse(Y_11),multiply(X_103,Z_105)))))) = Y_11 ),
inference(superposition,[status(thm),theory(equality)],[c_2445,c_44]) ).
tff(c_3113,plain,
! [X_111,Y_112,Z_113,Y_114] : ( multiply(X_111,multiply(Y_112,multiply(multiply(inverse(Y_112),Z_113),inverse(multiply(inverse(Y_114),multiply(X_111,Z_113)))))) = Y_114 ),
inference(superposition,[status(thm),theory(equality)],[c_2445,c_44]) ).
tff(c_4851,plain,
! [Y_136,Z_133,Y_134,X_132,Y_135,Y_137] : ( multiply(X_132,multiply(Y_137,multiply(multiply(inverse(Y_137),multiply(Y_136,multiply(multiply(inverse(Y_136),Z_133),inverse(multiply(inverse(Y_134),multiply(X_132,Z_133)))))),inverse(multiply(inverse(Y_135),Y_134))))) = Y_135 ),
inference(superposition,[status(thm),theory(equality)],[c_2795,c_3113]) ).
tff(c_5210,plain,
! [Y_137,Y_11,Y_135] : ( multiply(inverse(Y_137),multiply(Y_137,multiply(Y_11,inverse(multiply(inverse(Y_135),Y_11))))) = Y_135 ),
inference(superposition,[status(thm),theory(equality)],[c_2795,c_4851]) ).
tff(c_5503,plain,
! [Y_138,Y_139,Y_140] : ( multiply(inverse(Y_138),multiply(Y_138,multiply(Y_139,inverse(multiply(inverse(Y_140),Y_139))))) = Y_140 ),
inference(superposition,[status(thm),theory(equality)],[c_2795,c_4851]) ).
tff(c_10152,plain,
! [Y_175,U_174,X_176,Y_177,Y_173] : ( inverse(multiply(X_176,multiply(Y_175,multiply(Y_173,inverse(multiply(U_174,multiply(X_176,multiply(Y_175,multiply(Y_177,inverse(multiply(inverse(Y_173),Y_177))))))))))) = U_174 ),
inference(superposition,[status(thm),theory(equality)],[c_5503,c_2]) ).
tff(c_10690,plain,
! [Y_178,Y_179,U_180] : ( inverse(multiply(inverse(Y_178),multiply(Y_178,multiply(Y_179,inverse(multiply(U_180,Y_179)))))) = U_180 ),
inference(superposition,[status(thm),theory(equality)],[c_5210,c_10152]) ).
tff(c_5571,plain,
! [Y_138,Y_108,Y_139,Y_140] : ( multiply(Y_138,multiply(Y_108,multiply(multiply(inverse(Y_108),multiply(Y_139,inverse(multiply(inverse(Y_140),Y_139)))),inverse(Y_140)))) = Y_138 ),
inference(superposition,[status(thm),theory(equality)],[c_5503,c_2795]) ).
tff(c_6610,plain,
! [Y_145,Y_146,Y_147,Y_148] : ( multiply(Y_145,multiply(Y_146,multiply(multiply(inverse(Y_146),multiply(Y_147,inverse(multiply(inverse(Y_148),Y_147)))),inverse(Y_148)))) = Y_145 ),
inference(superposition,[status(thm),theory(equality)],[c_5503,c_2795]) ).
tff(c_6695,plain,
! [Y_108,Y_148,X_103,Y_147,Y_11,Y_146] : ( multiply(X_103,multiply(Y_108,multiply(inverse(Y_108),inverse(multiply(inverse(Y_11),multiply(X_103,multiply(Y_146,multiply(multiply(inverse(Y_146),multiply(Y_147,inverse(multiply(inverse(Y_148),Y_147)))),inverse(Y_148))))))))) = Y_11 ),
inference(superposition,[status(thm),theory(equality)],[c_6610,c_2795]) ).
tff(c_7270,plain,
! [X_103,Y_108,Y_11] : ( multiply(X_103,multiply(Y_108,multiply(inverse(Y_108),inverse(multiply(inverse(Y_11),X_103))))) = Y_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_5571,c_6695]) ).
tff(c_14539,plain,
! [Y_212,Y_213,U_214,Y_215] : ( multiply(multiply(Y_212,multiply(Y_213,inverse(multiply(U_214,Y_213)))),multiply(Y_215,multiply(inverse(Y_215),U_214))) = Y_212 ),
inference(superposition,[status(thm),theory(equality)],[c_10690,c_7270]) ).
tff(c_26886,plain,
! [Y_302,Y_300,U_303,Y_304,Y_301] : ( multiply(Y_300,multiply(Y_302,inverse(multiply(U_303,Y_302)))) = inverse(multiply(Y_301,multiply(Y_304,multiply(multiply(inverse(Y_304),multiply(inverse(Y_301),U_303)),inverse(Y_300))))) ),
inference(superposition,[status(thm),theory(equality)],[c_14539,c_2]) ).
tff(c_7036,plain,
! [Y_148,U_4,Y_147,Y_146,X_1,Y_2] : ( inverse(multiply(X_1,multiply(Y_2,multiply(inverse(Y_2),inverse(multiply(U_4,multiply(X_1,multiply(Y_146,multiply(multiply(inverse(Y_146),multiply(Y_147,inverse(multiply(inverse(Y_148),Y_147)))),inverse(Y_148)))))))))) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_6610,c_2]) ).
tff(c_7838,plain,
! [X_152,Y_153,U_154] : ( inverse(multiply(X_152,multiply(Y_153,multiply(inverse(Y_153),inverse(multiply(U_154,X_152)))))) = U_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_5571,c_7036]) ).
tff(c_8124,plain,
! [Y_153,Y_2,U_154,X_152] : ( inverse(multiply(Y_153,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(inverse(Y_153),inverse(multiply(U_154,X_152)))),U_154)))) = X_152 ),
inference(superposition,[status(thm),theory(equality)],[c_7838,c_2]) ).
tff(c_29085,plain,
! [Y_305,Y_306,X_307] : ( multiply(Y_305,multiply(Y_306,inverse(multiply(inverse(multiply(inverse(Y_305),X_307)),Y_306)))) = X_307 ),
inference(superposition,[status(thm),theory(equality)],[c_26886,c_8124]) ).
tff(c_3530,plain,
! [U_4,Z_3,Y_114,Y_112,Y_2] : ( multiply(Y_2,multiply(Y_112,multiply(multiply(inverse(Y_112),multiply(multiply(inverse(Y_2),Z_3),inverse(multiply(U_4,multiply(inverse(Y_114),Z_3))))),U_4))) = Y_114 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3113]) ).
tff(c_6679,plain,
! [Y_148,U_4,Y_114,Y_147,Y_112,Y_146,Y_2] : ( multiply(Y_2,multiply(Y_112,multiply(multiply(inverse(Y_112),multiply(multiply(inverse(Y_2),multiply(Y_146,multiply(multiply(inverse(Y_146),multiply(Y_147,inverse(multiply(inverse(Y_148),Y_147)))),inverse(Y_148)))),inverse(multiply(U_4,inverse(Y_114))))),U_4))) = Y_114 ),
inference(superposition,[status(thm),theory(equality)],[c_6610,c_3530]) ).
tff(c_7268,plain,
! [Y_2,Y_112,U_4,Y_114] : ( multiply(Y_2,multiply(Y_112,multiply(multiply(inverse(Y_112),multiply(inverse(Y_2),inverse(multiply(U_4,inverse(Y_114))))),U_4))) = Y_114 ),
inference(demodulation,[status(thm),theory(equality)],[c_5571,c_6679]) ).
tff(c_29325,plain,
! [Y_2,Y_112,X_307] : ( multiply(Y_2,multiply(Y_112,multiply(X_307,inverse(multiply(inverse(inverse(Y_112)),X_307))))) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_29085,c_7268]) ).
tff(c_31848,plain,
! [U_311,Y_312,U_313,Y_314] : ( multiply(multiply(U_311,multiply(Y_312,multiply(inverse(Y_312),U_313))),multiply(Y_314,inverse(multiply(U_313,Y_314)))) = U_311 ),
inference(superposition,[status(thm),theory(equality)],[c_26886,c_2]) ).
tff(c_49415,plain,
! [U_359,Y_360,Y_361] : ( multiply(inverse(multiply(U_359,multiply(Y_360,multiply(inverse(Y_360),inverse(Y_361))))),U_359) = Y_361 ),
inference(superposition,[status(thm),theory(equality)],[c_31848,c_2795]) ).
tff(c_50781,plain,
! [Y_362,Y_363] : ( multiply(inverse(inverse(Y_362)),inverse(Y_362)) = multiply(inverse(Y_363),Y_363) ),
inference(superposition,[status(thm),theory(equality)],[c_29325,c_49415]) ).
tff(c_52646,plain,
! [U_4,Z_3,X_1,Y_363,Y_2] : ( multiply(inverse(Y_363),Y_363) = multiply(inverse(U_4),inverse(multiply(X_1,multiply(Y_2,multiply(multiply(inverse(Y_2),Z_3),inverse(multiply(U_4,multiply(X_1,Z_3)))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_50781]) ).
tff(c_54134,plain,
! [Y_368,U_369] : ( multiply(inverse(Y_368),Y_368) = multiply(inverse(U_369),U_369) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52646]) ).
tff(c_4,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_69,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_56114,plain,
! [U_369] : ( multiply(inverse(a1),a1) != multiply(inverse(U_369),U_369) ),
inference(superposition,[status(thm),theory(equality)],[c_54134,c_69]) ).
tff(c_64251,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_56114]) ).
tff(c_64253,plain,
multiply(inverse(b1),b1) = multiply(inverse(a1),a1),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_326879,plain,
! [X_1352,U_1353] : ( inverse(multiply(X_1352,multiply(b1,multiply(multiply(inverse(a1),a1),inverse(multiply(U_1353,multiply(X_1352,b1))))))) = U_1353 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_2]) ).
tff(c_326891,plain,
! [Y_6,Y_2,U_1353,X_1352] : ( inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),multiply(multiply(inverse(a1),a1),inverse(multiply(U_1353,multiply(X_1352,b1))))),U_1353)),X_1352)))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_326879,c_11]) ).
tff(c_327365,plain,
! [X_1375,U_1373,Z_1372,Z_1371,X_1374,Y_1376,U_1370] : ( inverse(multiply(X_1375,multiply(multiply(X_1374,multiply(Y_1376,multiply(multiply(inverse(Y_1376),Z_1372),inverse(multiply(U_1373,multiply(X_1374,Z_1372)))))),multiply(multiply(U_1373,Z_1371),inverse(multiply(U_1370,multiply(X_1375,Z_1371))))))) = U_1370 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_5]) ).
tff(c_329820,plain,
! [X_1429,Z_1426,U_1425,Y_1427,X_1428] : ( inverse(multiply(X_1429,multiply(multiply(X_1428,multiply(Y_1427,multiply(multiply(inverse(Y_1427),Z_1426),inverse(multiply(inverse(b1),multiply(X_1428,Z_1426)))))),multiply(multiply(inverse(a1),a1),inverse(multiply(U_1425,multiply(X_1429,b1))))))) = U_1425 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_327365]) ).
tff(c_329944,plain,
! [X_1429,Z_1426,U_1425,Y_1427,Y_6,X_1428,Y_2] : ( multiply(X_1428,multiply(Y_1427,multiply(multiply(inverse(Y_1427),Z_1426),inverse(multiply(inverse(b1),multiply(X_1428,Z_1426)))))) = inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),multiply(multiply(inverse(a1),a1),inverse(multiply(U_1425,multiply(X_1429,b1))))),U_1425)),X_1429)))) ),
inference(superposition,[status(thm),theory(equality)],[c_329820,c_11]) ).
tff(c_330104,plain,
! [X_1428,Y_1427,Z_1426] : ( multiply(X_1428,multiply(Y_1427,multiply(multiply(inverse(Y_1427),Z_1426),inverse(multiply(inverse(b1),multiply(X_1428,Z_1426)))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_326891,c_329944]) ).
tff(c_330114,plain,
! [X_1430,Y_1431,Z_1432] : ( multiply(X_1430,multiply(Y_1431,multiply(multiply(inverse(Y_1431),Z_1432),inverse(multiply(inverse(b1),multiply(X_1430,Z_1432)))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_326891,c_329944]) ).
tff(c_333720,plain,
! [X_1468,Y_1469,Y_1470,Z_1471] : ( multiply(X_1468,multiply(Y_1469,multiply(b1,inverse(multiply(inverse(b1),multiply(X_1468,multiply(Y_1470,multiply(multiply(inverse(Y_1470),Z_1471),inverse(multiply(inverse(b1),multiply(inverse(Y_1469),Z_1471))))))))))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_330114,c_330104]) ).
tff(c_333979,plain,
! [Y_1469] : ( multiply(inverse(Y_1469),multiply(Y_1469,multiply(b1,inverse(multiply(inverse(b1),b1))))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_330104,c_333720]) ).
tff(c_334159,plain,
! [Y_1472] : ( multiply(inverse(Y_1472),multiply(Y_1472,multiply(b1,inverse(multiply(inverse(a1),a1))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_64253,c_333979]) ).
tff(c_334401,plain,
! [Y_1473,Y_1474] : ( inverse(multiply(Y_1473,multiply(Y_1474,multiply(multiply(inverse(Y_1474),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1))))) = inverse(Y_1473) ),
inference(superposition,[status(thm),theory(equality)],[c_334159,c_2]) ).
tff(c_334497,plain,
! [Y_1473,Y_1474,Y_6,Y_11,U_8,Y_13,X_5,Z_7] : ( multiply(Y_1473,multiply(Y_1474,multiply(multiply(inverse(Y_1474),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))) = inverse(multiply(Y_11,multiply(Y_13,multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),multiply(multiply(inverse(Y_1473),multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))),U_8)),X_5)),Y_6)))) ),
inference(superposition,[status(thm),theory(equality)],[c_334401,c_53]) ).
tff(c_334688,plain,
! [Y_1473,Y_1474] : ( multiply(Y_1473,multiply(Y_1474,multiply(multiply(inverse(Y_1474),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))) = Y_1473 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_334497]) ).
tff(c_335251,plain,
! [Y_1480,Y_1481] : ( multiply(Y_1480,multiply(Y_1481,multiply(multiply(inverse(Y_1481),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))) = Y_1480 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_334497]) ).
tff(c_335477,plain,
! [X_1,Y_2,U_4,Y_1481] : ( inverse(multiply(X_1,multiply(Y_2,multiply(inverse(Y_2),inverse(multiply(U_4,multiply(X_1,multiply(Y_1481,multiply(multiply(inverse(Y_1481),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))))))))) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_335251,c_2]) ).
tff(c_335953,plain,
! [X_1484,Y_1485,U_1486] : ( inverse(multiply(X_1484,multiply(Y_1485,multiply(inverse(Y_1485),inverse(multiply(U_1486,X_1484)))))) = U_1486 ),
inference(demodulation,[status(thm),theory(equality)],[c_334688,c_335477]) ).
tff(c_335589,plain,
! [X_1,Y_2,U_4] : ( inverse(multiply(X_1,multiply(Y_2,multiply(inverse(Y_2),inverse(multiply(U_4,X_1)))))) = U_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_334688,c_335477]) ).
tff(c_341518,plain,
! [Y_1526,U_1527,X_1528,Y_1529] : ( inverse(multiply(multiply(Y_1526,multiply(inverse(Y_1526),inverse(multiply(U_1527,X_1528)))),multiply(Y_1529,multiply(inverse(Y_1529),U_1527)))) = X_1528 ),
inference(superposition,[status(thm),theory(equality)],[c_335953,c_335589]) ).
tff(c_357714,plain,
! [Y_1614,X_1610,U_1611,Y_1613,Y_1612] : ( multiply(Y_1612,multiply(inverse(Y_1612),inverse(multiply(U_1611,X_1610)))) = inverse(multiply(Y_1613,multiply(Y_1614,multiply(multiply(inverse(Y_1614),multiply(inverse(Y_1613),U_1611)),X_1610)))) ),
inference(superposition,[status(thm),theory(equality)],[c_341518,c_2]) ).
tff(c_336173,plain,
! [Y_1485,Y_2,U_1486,X_1484] : ( inverse(multiply(Y_1485,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(inverse(Y_1485),inverse(multiply(U_1486,X_1484)))),U_1486)))) = X_1484 ),
inference(superposition,[status(thm),theory(equality)],[c_335953,c_2]) ).
tff(c_358129,plain,
! [Y_1612,X_1610,X_1484] : ( multiply(Y_1612,multiply(inverse(Y_1612),inverse(multiply(inverse(multiply(X_1610,X_1484)),X_1610)))) = X_1484 ),
inference(superposition,[status(thm),theory(equality)],[c_357714,c_336173]) ).
tff(c_359453,plain,
! [Y_1615,X_1616,X_1617] : ( multiply(Y_1615,multiply(inverse(Y_1615),inverse(multiply(inverse(multiply(X_1616,X_1617)),X_1616)))) = X_1617 ),
inference(superposition,[status(thm),theory(equality)],[c_357714,c_336173]) ).
tff(c_367364,plain,
! [Y_1638,X_1639,X_1640] : ( inverse(multiply(inverse(Y_1638),multiply(Y_1638,multiply(X_1639,inverse(multiply(X_1640,X_1639)))))) = X_1640 ),
inference(superposition,[status(thm),theory(equality)],[c_359453,c_336173]) ).
tff(c_367827,plain,
! [Y_1638,Y_2,X_1639,X_1640] : ( inverse(multiply(Y_1638,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(X_1639,inverse(multiply(X_1640,X_1639)))),X_1640)))) = inverse(Y_1638) ),
inference(superposition,[status(thm),theory(equality)],[c_367364,c_2]) ).
tff(c_365602,plain,
! [Y_1632,U_1633,U_1634,X_1635] : ( multiply(Y_1632,multiply(inverse(Y_1632),inverse(multiply(U_1633,inverse(multiply(U_1634,multiply(X_1635,multiply(inverse(X_1635),U_1633)))))))) = U_1634 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_357714]) ).
tff(c_368299,plain,
! [U_1641,X_1642,U_1643] : ( inverse(multiply(inverse(multiply(U_1641,multiply(X_1642,multiply(inverse(X_1642),U_1643)))),U_1641)) = U_1643 ),
inference(superposition,[status(thm),theory(equality)],[c_365602,c_335589]) ).
tff(c_373894,plain,
! [X_1659,X_1660,U_1661] : ( inverse(multiply(inverse(multiply(X_1659,X_1660)),X_1659)) = inverse(multiply(inverse(multiply(U_1661,X_1660)),U_1661)) ),
inference(superposition,[status(thm),theory(equality)],[c_358129,c_368299]) ).
tff(c_375215,plain,
! [X_1640,X_1639,U_1661,Y_1638,Y_2] : ( inverse(multiply(inverse(multiply(U_1661,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(X_1639,inverse(multiply(X_1640,X_1639)))),X_1640)))),U_1661)) = inverse(multiply(inverse(Y_1638),Y_1638)) ),
inference(superposition,[status(thm),theory(equality)],[c_367827,c_373894]) ).
tff(c_375867,plain,
! [Y_1662,U_1663] : ( inverse(multiply(inverse(Y_1662),Y_1662)) = inverse(multiply(inverse(U_1663),U_1663)) ),
inference(demodulation,[status(thm),theory(equality)],[c_367827,c_375215]) ).
tff(c_334157,plain,
! [Y_1469] : ( multiply(inverse(Y_1469),multiply(Y_1469,multiply(b1,inverse(multiply(inverse(a1),a1))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_64253,c_333979]) ).
tff(c_334694,plain,
! [X_1475,Y_1476,U_1477] : ( inverse(multiply(X_1475,multiply(Y_1476,multiply(b1,inverse(multiply(U_1477,multiply(X_1475,multiply(Y_1476,multiply(b1,inverse(multiply(inverse(a1),a1))))))))))) = U_1477 ),
inference(superposition,[status(thm),theory(equality)],[c_334159,c_2]) ).
tff(c_334954,plain,
! [Y_1478,U_1479] : ( inverse(multiply(inverse(Y_1478),multiply(Y_1478,multiply(b1,inverse(multiply(U_1479,b1)))))) = U_1479 ),
inference(superposition,[status(thm),theory(equality)],[c_334157,c_334694]) ).
tff(c_336881,plain,
! [Y_1491,Y_1492,U_1493] : ( inverse(multiply(Y_1491,multiply(Y_1492,multiply(multiply(inverse(Y_1492),multiply(b1,inverse(multiply(U_1493,b1)))),U_1493)))) = inverse(Y_1491) ),
inference(superposition,[status(thm),theory(equality)],[c_334954,c_2]) ).
tff(c_337003,plain,
! [U_1493,Y_1491,Y_6,Y_11,Y_1492,U_8,Y_13,X_5,Z_7] : ( multiply(Y_1491,multiply(Y_1492,multiply(multiply(inverse(Y_1492),multiply(b1,inverse(multiply(U_1493,b1)))),U_1493))) = inverse(multiply(Y_11,multiply(Y_13,multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),multiply(multiply(inverse(Y_1491),multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))),U_8)),X_5)),Y_6)))) ),
inference(superposition,[status(thm),theory(equality)],[c_336881,c_53]) ).
tff(c_337213,plain,
! [Y_1491,Y_1492,U_1493] : ( multiply(Y_1491,multiply(Y_1492,multiply(multiply(inverse(Y_1492),multiply(b1,inverse(multiply(U_1493,b1)))),U_1493))) = Y_1491 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_337003]) ).
tff(c_64263,plain,
! [X_1,U_4] : ( inverse(multiply(X_1,multiply(b1,multiply(multiply(inverse(a1),a1),inverse(multiply(U_4,multiply(X_1,b1))))))) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_2]) ).
tff(c_336371,plain,
! [U_4,X_1,Y_1485] : ( inverse(multiply(multiply(b1,multiply(multiply(inverse(a1),a1),inverse(multiply(U_4,multiply(X_1,b1))))),multiply(Y_1485,multiply(inverse(Y_1485),U_4)))) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_64263,c_335953]) ).
tff(c_359848,plain,
! [Y_1615,X_1,U_4,Y_1485] : ( multiply(Y_1615,multiply(inverse(Y_1615),inverse(multiply(X_1,multiply(b1,multiply(multiply(inverse(a1),a1),inverse(multiply(U_4,multiply(X_1,b1))))))))) = multiply(Y_1485,multiply(inverse(Y_1485),U_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_336371,c_359453]) ).
tff(c_360225,plain,
! [Y_1620,U_1619,Y_1618] : ( multiply(Y_1620,multiply(inverse(Y_1620),U_1619)) = multiply(Y_1618,multiply(inverse(Y_1618),U_1619)) ),
inference(demodulation,[status(thm),theory(equality)],[c_64263,c_359848]) ).
tff(c_361987,plain,
! [Y_1620,Y_1618,Y_1492,U_1493] : ( multiply(Y_1620,inverse(Y_1620)) = multiply(Y_1618,multiply(inverse(Y_1618),multiply(Y_1492,multiply(multiply(inverse(Y_1492),multiply(b1,inverse(multiply(U_1493,b1)))),U_1493)))) ),
inference(superposition,[status(thm),theory(equality)],[c_337213,c_360225]) ).
tff(c_362378,plain,
! [Y_1620,Y_1618] : ( multiply(Y_1620,inverse(Y_1620)) = multiply(Y_1618,inverse(Y_1618)) ),
inference(demodulation,[status(thm),theory(equality)],[c_337213,c_361987]) ).
tff(c_386674,plain,
! [U_1688,Y_1689,Y_1690] : ( multiply(multiply(inverse(U_1688),U_1688),inverse(multiply(inverse(Y_1689),Y_1689))) = multiply(Y_1690,inverse(Y_1690)) ),
inference(superposition,[status(thm),theory(equality)],[c_375867,c_362378]) ).
tff(c_390863,plain,
! [X_1700,U_1701,Y_1702] : ( inverse(multiply(X_1700,multiply(U_1701,multiply(Y_1702,inverse(Y_1702))))) = inverse(multiply(X_1700,U_1701)) ),
inference(superposition,[status(thm),theory(equality)],[c_386674,c_2]) ).
tff(c_391074,plain,
! [Y_1612,X_1700,U_1701,Y_1702] : ( multiply(Y_1612,multiply(inverse(Y_1612),inverse(multiply(inverse(multiply(X_1700,U_1701)),X_1700)))) = multiply(U_1701,multiply(Y_1702,inverse(Y_1702))) ),
inference(superposition,[status(thm),theory(equality)],[c_390863,c_358129]) ).
tff(c_391823,plain,
! [U_1701,Y_1702] : ( multiply(U_1701,multiply(Y_1702,inverse(Y_1702))) = U_1701 ),
inference(demodulation,[status(thm),theory(equality)],[c_358129,c_391074]) ).
tff(c_393316,plain,
! [U_1709,Y_1710] : ( multiply(U_1709,multiply(Y_1710,inverse(Y_1710))) = U_1709 ),
inference(demodulation,[status(thm),theory(equality)],[c_358129,c_391074]) ).
tff(c_365850,plain,
! [U_1634,X_1635,U_1633] : ( inverse(multiply(inverse(multiply(U_1634,multiply(X_1635,multiply(inverse(X_1635),U_1633)))),U_1634)) = U_1633 ),
inference(superposition,[status(thm),theory(equality)],[c_365602,c_335589]) ).
tff(c_393463,plain,
! [Y_1710,U_1634,X_1635] : ( multiply(Y_1710,inverse(Y_1710)) = inverse(multiply(inverse(multiply(U_1634,multiply(X_1635,inverse(X_1635)))),U_1634)) ),
inference(superposition,[status(thm),theory(equality)],[c_393316,c_365850]) ).
tff(c_398136,plain,
! [Y_1721,U_1722] : ( multiply(Y_1721,inverse(Y_1721)) = inverse(multiply(inverse(U_1722),U_1722)) ),
inference(demodulation,[status(thm),theory(equality)],[c_391823,c_393463]) ).
tff(c_398187,plain,
! [U_1701,U_1722,Y_1721] : ( multiply(U_1701,multiply(multiply(inverse(U_1722),U_1722),multiply(Y_1721,inverse(Y_1721)))) = U_1701 ),
inference(superposition,[status(thm),theory(equality)],[c_398136,c_391823]) ).
tff(c_399843,plain,
! [U_1723,U_1724] : ( multiply(U_1723,multiply(inverse(U_1724),U_1724)) = U_1723 ),
inference(demodulation,[status(thm),theory(equality)],[c_391823,c_398187]) ).
tff(c_362382,plain,
! [Y_1622,Y_1621] : ( multiply(Y_1622,inverse(Y_1622)) = multiply(Y_1621,inverse(Y_1621)) ),
inference(demodulation,[status(thm),theory(equality)],[c_337213,c_361987]) ).
tff(c_360204,plain,
! [Y_1615,U_4,Y_1485] : ( multiply(Y_1615,multiply(inverse(Y_1615),U_4)) = multiply(Y_1485,multiply(inverse(Y_1485),U_4)) ),
inference(demodulation,[status(thm),theory(equality)],[c_64263,c_359848]) ).
tff(c_362402,plain,
! [Y_1615,Y_1621,Y_1485] : ( multiply(Y_1615,multiply(Y_1621,inverse(Y_1621))) = multiply(Y_1485,multiply(inverse(Y_1485),inverse(inverse(Y_1615)))) ),
inference(superposition,[status(thm),theory(equality)],[c_362382,c_360204]) ).
tff(c_393315,plain,
! [Y_1485,Y_1615] : ( multiply(Y_1485,multiply(inverse(Y_1485),inverse(inverse(Y_1615)))) = Y_1615 ),
inference(demodulation,[status(thm),theory(equality)],[c_391823,c_362402]) ).
tff(c_399858,plain,
! [Y_1615] : ( inverse(inverse(Y_1615)) = Y_1615 ),
inference(superposition,[status(thm),theory(equality)],[c_399843,c_393315]) ).
tff(c_400740,plain,
! [Y_1485,U_4] : ( multiply(Y_1485,multiply(inverse(Y_1485),U_4)) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_360204,c_399843]) ).
tff(c_398485,plain,
! [Y_1615,Y_1485,U_1722] : ( multiply(Y_1615,multiply(inverse(Y_1615),inverse(inverse(Y_1485)))) = multiply(Y_1485,inverse(multiply(inverse(U_1722),U_1722))) ),
inference(superposition,[status(thm),theory(equality)],[c_398136,c_360204]) ).
tff(c_411079,plain,
! [Y_1755,U_1756] : ( multiply(Y_1755,inverse(multiply(inverse(U_1756),U_1756))) = Y_1755 ),
inference(demodulation,[status(thm),theory(equality)],[c_393315,c_398485]) ).
tff(c_411469,plain,
! [Y_1485,Y_2,U_1756,X_1484] : ( inverse(multiply(Y_1485,multiply(Y_2,multiply(inverse(Y_2),multiply(inverse(Y_1485),inverse(multiply(inverse(multiply(inverse(U_1756),U_1756)),X_1484))))))) = X_1484 ),
inference(superposition,[status(thm),theory(equality)],[c_411079,c_336173]) ).
tff(c_419985,plain,
! [U_1783,X_1784] : ( multiply(inverse(multiply(inverse(U_1783),U_1783)),X_1784) = X_1784 ),
inference(demodulation,[status(thm),theory(equality)],[c_399858,c_400740,c_400740,c_411469]) ).
tff(c_420175,plain,
! [U_1783,X_1784] : ( multiply(multiply(inverse(U_1783),U_1783),X_1784) = X_1784 ),
inference(superposition,[status(thm),theory(equality)],[c_419985,c_400740]) ).
tff(c_411774,plain,
! [U_1756,Y_1618] : ( multiply(inverse(U_1756),U_1756) = multiply(Y_1618,inverse(Y_1618)) ),
inference(superposition,[status(thm),theory(equality)],[c_362378,c_411079]) ).
tff(c_413220,plain,
! [U_1761,Y_1762] : ( multiply(inverse(U_1761),U_1761) = multiply(Y_1762,inverse(Y_1762)) ),
inference(superposition,[status(thm),theory(equality)],[c_362378,c_411079]) ).
tff(c_64271,plain,
! [X_400,U_401] : ( inverse(multiply(X_400,multiply(b1,multiply(multiply(inverse(a1),a1),inverse(multiply(U_401,multiply(X_400,b1))))))) = U_401 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_2]) ).
tff(c_64283,plain,
! [Y_6,Y_2,U_401,X_400] : ( inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),multiply(multiply(inverse(a1),a1),inverse(multiply(U_401,multiply(X_400,b1))))),U_401)),X_400)))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_64271,c_11]) ).
tff(c_64368,plain,
! [U_408,U_405,Y_409,X_411,Z_406,Z_407,X_410] : ( inverse(multiply(X_410,multiply(multiply(X_411,multiply(Y_409,multiply(multiply(inverse(Y_409),Z_406),inverse(multiply(U_405,multiply(X_411,Z_406)))))),multiply(multiply(U_405,Z_407),inverse(multiply(U_408,multiply(X_410,Z_407))))))) = U_408 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_65889,plain,
! [Z_453,X_456,Y_454,X_455,U_452] : ( inverse(multiply(X_456,multiply(multiply(X_455,multiply(Y_454,multiply(multiply(inverse(Y_454),Z_453),inverse(multiply(inverse(b1),multiply(X_455,Z_453)))))),multiply(multiply(inverse(a1),a1),inverse(multiply(U_452,multiply(X_456,b1))))))) = U_452 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_64368]) ).
tff(c_65974,plain,
! [Z_453,X_456,Y_454,Y_6,X_455,Y_2,U_452] : ( multiply(X_455,multiply(Y_454,multiply(multiply(inverse(Y_454),Z_453),inverse(multiply(inverse(b1),multiply(X_455,Z_453)))))) = inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),multiply(multiply(inverse(a1),a1),inverse(multiply(U_452,multiply(X_456,b1))))),U_452)),X_456)))) ),
inference(superposition,[status(thm),theory(equality)],[c_65889,c_11]) ).
tff(c_66100,plain,
! [X_455,Y_454,Z_453] : ( multiply(X_455,multiply(Y_454,multiply(multiply(inverse(Y_454),Z_453),inverse(multiply(inverse(b1),multiply(X_455,Z_453)))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_64283,c_65974]) ).
tff(c_66110,plain,
! [X_457,Y_458,Z_459] : ( multiply(X_457,multiply(Y_458,multiply(multiply(inverse(Y_458),Z_459),inverse(multiply(inverse(b1),multiply(X_457,Z_459)))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_64283,c_65974]) ).
tff(c_69234,plain,
! [X_498,Y_499,Y_500,Z_501] : ( multiply(X_498,multiply(Y_499,multiply(b1,inverse(multiply(inverse(b1),multiply(X_498,multiply(Y_500,multiply(multiply(inverse(Y_500),Z_501),inverse(multiply(inverse(b1),multiply(inverse(Y_499),Z_501))))))))))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_66110,c_66100]) ).
tff(c_69488,plain,
! [Y_499] : ( multiply(inverse(Y_499),multiply(Y_499,multiply(b1,inverse(multiply(inverse(b1),b1))))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_66100,c_69234]) ).
tff(c_69624,plain,
! [Y_499] : ( multiply(inverse(Y_499),multiply(Y_499,multiply(b1,inverse(multiply(inverse(a1),a1))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_64253,c_69488]) ).
tff(c_69627,plain,
! [Y_502] : ( multiply(inverse(Y_502),multiply(Y_502,multiply(b1,inverse(multiply(inverse(a1),a1))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_64253,c_69488]) ).
tff(c_70394,plain,
! [X_507,Y_508,U_509] : ( inverse(multiply(X_507,multiply(Y_508,multiply(b1,inverse(multiply(U_509,multiply(X_507,multiply(Y_508,multiply(b1,inverse(multiply(inverse(a1),a1))))))))))) = U_509 ),
inference(superposition,[status(thm),theory(equality)],[c_69627,c_2]) ).
tff(c_70620,plain,
! [Y_510,U_511] : ( inverse(multiply(inverse(Y_510),multiply(Y_510,multiply(b1,inverse(multiply(U_511,b1)))))) = U_511 ),
inference(superposition,[status(thm),theory(equality)],[c_69624,c_70394]) ).
tff(c_71973,plain,
! [Y_520,Y_521,U_522] : ( inverse(multiply(Y_520,multiply(Y_521,multiply(multiply(inverse(Y_521),multiply(b1,inverse(multiply(U_522,b1)))),U_522)))) = inverse(Y_520) ),
inference(superposition,[status(thm),theory(equality)],[c_70620,c_2]) ).
tff(c_72057,plain,
! [Y_6,Y_11,Y_520,U_8,Y_13,X_5,Y_521,Z_7,U_522] : ( multiply(Y_520,multiply(Y_521,multiply(multiply(inverse(Y_521),multiply(b1,inverse(multiply(U_522,b1)))),U_522))) = inverse(multiply(Y_11,multiply(Y_13,multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),multiply(multiply(inverse(Y_520),multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))),U_8)),X_5)),Y_6)))) ),
inference(superposition,[status(thm),theory(equality)],[c_71973,c_53]) ).
tff(c_72260,plain,
! [Y_520,Y_521,U_522] : ( multiply(Y_520,multiply(Y_521,multiply(multiply(inverse(Y_521),multiply(b1,inverse(multiply(U_522,b1)))),U_522))) = Y_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_72057]) ).
tff(c_64266,plain,
! [Y_2,U_4] : ( inverse(multiply(inverse(b1),multiply(Y_2,multiply(multiply(inverse(Y_2),b1),inverse(multiply(U_4,multiply(inverse(a1),a1))))))) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_2]) ).
tff(c_69841,plain,
! [Y_503,Y_504] : ( inverse(multiply(Y_503,multiply(Y_504,multiply(multiply(inverse(Y_504),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1))))) = inverse(Y_503) ),
inference(superposition,[status(thm),theory(equality)],[c_69627,c_2]) ).
tff(c_69896,plain,
! [Y_6,Y_11,U_8,Y_503,Y_13,X_5,Z_7,Y_504] : ( multiply(Y_503,multiply(Y_504,multiply(multiply(inverse(Y_504),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))) = inverse(multiply(Y_11,multiply(Y_13,multiply(multiply(inverse(Y_13),multiply(multiply(inverse(Y_11),multiply(multiply(inverse(Y_503),multiply(multiply(inverse(Y_6),Z_7),inverse(multiply(U_8,multiply(X_5,Z_7))))),U_8)),X_5)),Y_6)))) ),
inference(superposition,[status(thm),theory(equality)],[c_69841,c_53]) ).
tff(c_70086,plain,
! [Y_503,Y_504] : ( multiply(Y_503,multiply(Y_504,multiply(multiply(inverse(Y_504),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))) = Y_503 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_69896]) ).
tff(c_70093,plain,
! [Y_505,Y_506] : ( multiply(Y_505,multiply(Y_506,multiply(multiply(inverse(Y_506),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))) = Y_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_69896]) ).
tff(c_70193,plain,
! [X_455,Y_454,Y_506] : ( multiply(X_455,multiply(Y_454,multiply(inverse(Y_454),inverse(multiply(inverse(b1),multiply(X_455,multiply(Y_506,multiply(multiply(inverse(Y_506),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1))))))))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_70093,c_66100]) ).
tff(c_71227,plain,
! [X_515,Y_516] : ( multiply(X_515,multiply(Y_516,multiply(inverse(Y_516),inverse(multiply(inverse(b1),X_515))))) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_70086,c_70193]) ).
tff(c_71530,plain,
! [Y_2,U_4,Y_516] : ( multiply(multiply(Y_2,multiply(multiply(inverse(Y_2),b1),inverse(multiply(U_4,multiply(inverse(a1),a1))))),multiply(Y_516,multiply(inverse(Y_516),U_4))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_64266,c_71227]) ).
tff(c_70302,plain,
! [X_1,Y_2,U_4,Y_506] : ( inverse(multiply(X_1,multiply(Y_2,multiply(inverse(Y_2),inverse(multiply(U_4,multiply(X_1,multiply(Y_506,multiply(multiply(inverse(Y_506),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))))))))) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_70093,c_2]) ).
tff(c_70867,plain,
! [X_512,Y_513,U_514] : ( inverse(multiply(X_512,multiply(Y_513,multiply(inverse(Y_513),inverse(multiply(U_514,X_512)))))) = U_514 ),
inference(demodulation,[status(thm),theory(equality)],[c_70086,c_70302]) ).
tff(c_70391,plain,
! [X_1,Y_2,U_4] : ( inverse(multiply(X_1,multiply(Y_2,multiply(inverse(Y_2),inverse(multiply(U_4,X_1)))))) = U_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_70086,c_70302]) ).
tff(c_74160,plain,
! [Y_540,U_541,X_542,Y_543] : ( inverse(multiply(multiply(Y_540,multiply(inverse(Y_540),inverse(multiply(U_541,X_542)))),multiply(Y_543,multiply(inverse(Y_543),U_541)))) = X_542 ),
inference(superposition,[status(thm),theory(equality)],[c_70867,c_70391]) ).
tff(c_90624,plain,
! [X_639,Y_641,U_642,Y_643,Y_640] : ( multiply(Y_640,multiply(inverse(Y_640),inverse(multiply(U_642,X_639)))) = inverse(multiply(Y_641,multiply(Y_643,multiply(multiply(inverse(Y_643),multiply(inverse(Y_641),U_642)),X_639)))) ),
inference(superposition,[status(thm),theory(equality)],[c_74160,c_2]) ).
tff(c_70291,plain,
! [Y_505,Y_6,Y_506,U_8,Y_2] : ( inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(multiply(inverse(Y_6),multiply(Y_506,multiply(multiply(inverse(Y_506),multiply(b1,inverse(multiply(inverse(a1),a1)))),inverse(b1)))),inverse(multiply(U_8,Y_505)))),U_8)))) = Y_505 ),
inference(superposition,[status(thm),theory(equality)],[c_70093,c_11]) ).
tff(c_70390,plain,
! [Y_6,Y_2,U_8,Y_505] : ( inverse(multiply(Y_6,multiply(Y_2,multiply(multiply(inverse(Y_2),multiply(inverse(Y_6),inverse(multiply(U_8,Y_505)))),U_8)))) = Y_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_70086,c_70291]) ).
tff(c_92243,plain,
! [Y_644,X_645,Y_646] : ( multiply(Y_644,multiply(inverse(Y_644),inverse(multiply(inverse(multiply(X_645,Y_646)),X_645)))) = Y_646 ),
inference(superposition,[status(thm),theory(equality)],[c_90624,c_70390]) ).
tff(c_92616,plain,
! [Y_644,Y_2,U_4,Y_516] : ( multiply(Y_644,multiply(inverse(Y_644),inverse(multiply(inverse(b1),multiply(Y_2,multiply(multiply(inverse(Y_2),b1),inverse(multiply(U_4,multiply(inverse(a1),a1))))))))) = multiply(Y_516,multiply(inverse(Y_516),U_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_71530,c_92243]) ).
tff(c_92968,plain,
! [Y_649,U_648,Y_647] : ( multiply(Y_649,multiply(inverse(Y_649),U_648)) = multiply(Y_647,multiply(inverse(Y_647),U_648)) ),
inference(demodulation,[status(thm),theory(equality)],[c_64266,c_92616]) ).
tff(c_94662,plain,
! [Y_649,Y_647,Y_521,U_522] : ( multiply(Y_649,inverse(Y_649)) = multiply(Y_647,multiply(inverse(Y_647),multiply(Y_521,multiply(multiply(inverse(Y_521),multiply(b1,inverse(multiply(U_522,b1)))),U_522)))) ),
inference(superposition,[status(thm),theory(equality)],[c_72260,c_92968]) ).
tff(c_95007,plain,
! [Y_649,Y_647] : ( multiply(Y_649,inverse(Y_649)) = multiply(Y_647,inverse(Y_647)) ),
inference(demodulation,[status(thm),theory(equality)],[c_72260,c_94662]) ).
tff(c_91070,plain,
! [Y_640,X_639,Y_505] : ( multiply(Y_640,multiply(inverse(Y_640),inverse(multiply(inverse(multiply(X_639,Y_505)),X_639)))) = Y_505 ),
inference(superposition,[status(thm),theory(equality)],[c_90624,c_70390]) ).
tff(c_72881,plain,
! [Y_529,Y_530,U_531,Y_532] : ( inverse(multiply(Y_529,multiply(Y_530,multiply(multiply(inverse(Y_530),multiply(inverse(Y_529),inverse(multiply(U_531,Y_532)))),U_531)))) = Y_532 ),
inference(demodulation,[status(thm),theory(equality)],[c_70086,c_70291]) ).
tff(c_87110,plain,
! [Y_622,Y_625,U_624,Y_626,Y_623] : ( inverse(multiply(Y_623,multiply(Y_626,multiply(multiply(inverse(Y_626),multiply(multiply(inverse(Y_623),multiply(inverse(Y_622),inverse(multiply(U_624,Y_625)))),U_624)),Y_625)))) = Y_622 ),
inference(superposition,[status(thm),theory(equality)],[c_72881,c_2]) ).
tff(c_87720,plain,
! [Y_622,Y_520,Y_626,Y_521,Y_623,U_522] : ( inverse(multiply(Y_623,multiply(Y_626,multiply(multiply(inverse(Y_626),multiply(multiply(inverse(Y_623),multiply(inverse(Y_622),inverse(Y_520))),Y_520)),multiply(Y_521,multiply(multiply(inverse(Y_521),multiply(b1,inverse(multiply(U_522,b1)))),U_522)))))) = Y_622 ),
inference(superposition,[status(thm),theory(equality)],[c_72260,c_87110]) ).
tff(c_88013,plain,
! [Y_623,Y_626,Y_622,Y_520] : ( inverse(multiply(Y_623,multiply(Y_626,multiply(inverse(Y_626),multiply(multiply(inverse(Y_623),multiply(inverse(Y_622),inverse(Y_520))),Y_520))))) = Y_622 ),
inference(demodulation,[status(thm),theory(equality)],[c_72260,c_87720]) ).
tff(c_97457,plain,
! [Y_659,U_660,U_661,Y_662] : ( multiply(Y_659,multiply(inverse(Y_659),inverse(multiply(U_660,inverse(multiply(U_661,multiply(Y_662,multiply(inverse(Y_662),U_660)))))))) = U_661 ),
inference(superposition,[status(thm),theory(equality)],[c_90624,c_2]) ).
tff(c_103137,plain,
! [U_682,Y_683,U_684] : ( inverse(multiply(inverse(multiply(U_682,multiply(Y_683,multiply(inverse(Y_683),U_684)))),U_682)) = U_684 ),
inference(superposition,[status(thm),theory(equality)],[c_97457,c_70391]) ).
tff(c_105733,plain,
! [Y_690,Y_691,Y_692] : ( multiply(multiply(inverse(Y_690),multiply(inverse(Y_691),inverse(Y_692))),Y_692) = inverse(multiply(Y_691,Y_690)) ),
inference(superposition,[status(thm),theory(equality)],[c_88013,c_103137]) ).
tff(c_70873,plain,
! [Y_513,U_514,X_512,Y_2] : ( inverse(multiply(multiply(Y_513,multiply(inverse(Y_513),inverse(multiply(U_514,X_512)))),multiply(Y_2,multiply(inverse(Y_2),U_514)))) = X_512 ),
inference(superposition,[status(thm),theory(equality)],[c_70867,c_70391]) ).
tff(c_107157,plain,
! [U_694,Y_695] : ( multiply(inverse(U_694),U_694) = inverse(inverse(multiply(inverse(Y_695),Y_695))) ),
inference(superposition,[status(thm),theory(equality)],[c_105733,c_70873]) ).
tff(c_106004,plain,
! [U_514,Y_690] : ( multiply(inverse(U_514),U_514) = inverse(inverse(multiply(inverse(Y_690),Y_690))) ),
inference(superposition,[status(thm),theory(equality)],[c_105733,c_70873]) ).
tff(c_108530,plain,
! [U_697,U_696] : ( multiply(inverse(U_697),U_697) = multiply(inverse(U_696),U_696) ),
inference(superposition,[status(thm),theory(equality)],[c_107157,c_106004]) ).
tff(c_136450,plain,
! [X_751,Y_752,U_753] : ( multiply(inverse(multiply(inverse(multiply(X_751,Y_752)),X_751)),multiply(inverse(U_753),U_753)) = Y_752 ),
inference(superposition,[status(thm),theory(equality)],[c_108530,c_91070]) ).
tff(c_136627,plain,
! [Y_2,Y_752,Y_516,X_751] : ( multiply(multiply(Y_2,multiply(multiply(inverse(Y_2),b1),inverse(Y_752))),multiply(Y_516,multiply(inverse(Y_516),inverse(multiply(inverse(multiply(X_751,Y_752)),X_751))))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_136450,c_71530]) ).
tff(c_137600,plain,
! [Y_754,Y_755] : ( multiply(multiply(Y_754,multiply(multiply(inverse(Y_754),b1),inverse(Y_755))),Y_755) = b1 ),
inference(demodulation,[status(thm),theory(equality)],[c_91070,c_136627]) ).
tff(c_138319,plain,
! [Y_754,Y_647] : ( multiply(multiply(Y_754,multiply(Y_647,inverse(Y_647))),multiply(inverse(Y_754),b1)) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_95007,c_137600]) ).
tff(c_74739,plain,
! [Y_540,X_542] : ( inverse(multiply(multiply(Y_540,multiply(inverse(Y_540),inverse(multiply(b1,X_542)))),multiply(b1,multiply(inverse(a1),a1)))) = X_542 ),
inference(superposition,[status(thm),theory(equality)],[c_64253,c_74160]) ).
tff(c_92742,plain,
! [Y_644,X_542,Y_540] : ( multiply(Y_644,multiply(inverse(Y_644),inverse(multiply(X_542,multiply(Y_540,multiply(inverse(Y_540),inverse(multiply(b1,X_542)))))))) = multiply(b1,multiply(inverse(a1),a1)) ),
inference(superposition,[status(thm),theory(equality)],[c_74739,c_92243]) ).
tff(c_96753,plain,
! [Y_658] : ( multiply(b1,multiply(inverse(a1),a1)) = multiply(Y_658,multiply(inverse(Y_658),b1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_70391,c_92742]) ).
tff(c_97304,plain,
! [Y_658,Y_2] : ( inverse(multiply(inverse(Y_658),multiply(Y_2,multiply(multiply(inverse(Y_2),b1),inverse(multiply(b1,multiply(inverse(a1),a1))))))) = Y_658 ),
inference(superposition,[status(thm),theory(equality)],[c_96753,c_2]) ).
tff(c_92947,plain,
! [Y_644,U_4,Y_516] : ( multiply(Y_644,multiply(inverse(Y_644),U_4)) = multiply(Y_516,multiply(inverse(Y_516),U_4)) ),
inference(demodulation,[status(thm),theory(equality)],[c_64266,c_92616]) ).
tff(c_108846,plain,
! [Y_644,U_697,U_696] : ( multiply(Y_644,multiply(inverse(Y_644),U_697)) = multiply(U_697,multiply(inverse(U_696),U_696)) ),
inference(superposition,[status(thm),theory(equality)],[c_108530,c_92947]) ).
tff(c_156817,plain,
! [X_806,U_807,U_808] : ( inverse(multiply(X_806,multiply(inverse(multiply(U_807,X_806)),multiply(inverse(U_808),U_808)))) = U_807 ),
inference(superposition,[status(thm),theory(equality)],[c_108530,c_70391]) ).
tff(c_158223,plain,
! [Y_809,U_810] : ( inverse(multiply(Y_809,multiply(inverse(Y_809),U_810))) = inverse(U_810) ),
inference(superposition,[status(thm),theory(equality)],[c_108846,c_156817]) ).
tff(c_158273,plain,
! [Y_809,U_810,Y_2] : ( multiply(Y_809,multiply(inverse(Y_809),U_810)) = inverse(multiply(inverse(U_810),multiply(Y_2,multiply(multiply(inverse(Y_2),b1),inverse(multiply(b1,multiply(inverse(a1),a1))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_158223,c_97304]) ).
tff(c_159702,plain,
! [Y_809,U_810] : ( multiply(Y_809,multiply(inverse(Y_809),U_810)) = U_810 ),
inference(demodulation,[status(thm),theory(equality)],[c_97304,c_158273]) ).
tff(c_162965,plain,
! [U_822,U_823] : ( multiply(U_822,multiply(inverse(U_823),U_823)) = U_822 ),
inference(demodulation,[status(thm),theory(equality)],[c_159702,c_108846]) ).
tff(c_164794,plain,
! [Y_827] : ( multiply(b1,multiply(Y_827,inverse(Y_827))) = b1 ),
inference(superposition,[status(thm),theory(equality)],[c_138319,c_162965]) ).
tff(c_164821,plain,
inverse(inverse(b1)) = b1,
inference(superposition,[status(thm),theory(equality)],[c_164794,c_159702]) ).
tff(c_159729,plain,
! [U_697,U_696] : ( multiply(U_697,multiply(inverse(U_696),U_696)) = U_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_159702,c_108846]) ).
tff(c_170317,plain,
! [U_849] : ( multiply(U_849,multiply(b1,inverse(b1))) = U_849 ),
inference(superposition,[status(thm),theory(equality)],[c_164821,c_159729]) ).
tff(c_172033,plain,
! [U_851,Y_852] : ( multiply(U_851,multiply(Y_852,inverse(Y_852))) = U_851 ),
inference(superposition,[status(thm),theory(equality)],[c_95007,c_170317]) ).
tff(c_172152,plain,
! [U_851] : ( inverse(inverse(U_851)) = U_851 ),
inference(superposition,[status(thm),theory(equality)],[c_172033,c_159702]) ).
tff(c_97715,plain,
! [U_661,Y_662,U_660] : ( inverse(multiply(inverse(multiply(U_661,multiply(Y_662,multiply(inverse(Y_662),U_660)))),U_661)) = U_660 ),
inference(superposition,[status(thm),theory(equality)],[c_97457,c_70391]) ).
tff(c_179670,plain,
! [U_874,U_875] : ( inverse(multiply(inverse(multiply(U_874,U_875)),U_874)) = U_875 ),
inference(demodulation,[status(thm),theory(equality)],[c_159702,c_97715]) ).
tff(c_180400,plain,
! [Y_2,Z_3,U_4,X_1] : ( multiply(Y_2,multiply(multiply(inverse(Y_2),Z_3),inverse(multiply(U_4,multiply(X_1,Z_3))))) = inverse(multiply(U_4,X_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_179670]) ).
tff(c_168165,plain,
! [X_847,Z_843,U_840,Z_841,Y_844,X_846,Y_848,Y_842,U_845] : ( multiply(X_846,multiply(Y_844,multiply(multiply(inverse(Y_844),Z_843),inverse(multiply(U_845,multiply(X_846,Z_843)))))) = inverse(multiply(Y_842,multiply(Y_848,multiply(multiply(inverse(Y_848),multiply(multiply(inverse(Y_842),multiply(multiply(U_845,Z_841),inverse(multiply(U_840,multiply(X_847,Z_841))))),U_840)),X_847)))) ),
inference(superposition,[status(thm),theory(equality)],[c_64368,c_11]) ).
tff(c_170187,plain,
! [X_846,Y_844,Z_843,Y_11] : ( multiply(X_846,multiply(Y_844,multiply(multiply(inverse(Y_844),Z_843),inverse(multiply(inverse(Y_11),multiply(X_846,Z_843)))))) = Y_11 ),
inference(superposition,[status(thm),theory(equality)],[c_44,c_168165]) ).
tff(c_223112,plain,
! [X_1031,Y_1032] : ( multiply(X_1031,inverse(multiply(inverse(Y_1032),X_1031))) = Y_1032 ),
inference(demodulation,[status(thm),theory(equality)],[c_180400,c_170187]) ).
tff(c_223664,plain,
! [Y_1032,U_810] : ( multiply(multiply(inverse(inverse(Y_1032)),U_810),inverse(U_810)) = Y_1032 ),
inference(superposition,[status(thm),theory(equality)],[c_159702,c_223112]) ).
tff(c_223871,plain,
! [Y_1033,U_1034] : ( multiply(multiply(Y_1033,U_1034),inverse(U_1034)) = Y_1033 ),
inference(demodulation,[status(thm),theory(equality)],[c_172152,c_223664]) ).
tff(c_224158,plain,
! [Y_1033,U_851] : ( multiply(multiply(Y_1033,inverse(U_851)),U_851) = Y_1033 ),
inference(superposition,[status(thm),theory(equality)],[c_172152,c_223871]) ).
tff(c_91384,plain,
! [Y_640,U_642,U_4,Y_641] : ( multiply(Y_640,multiply(inverse(Y_640),inverse(multiply(U_642,inverse(multiply(U_4,multiply(Y_641,multiply(inverse(Y_641),U_642)))))))) = U_4 ),
inference(superposition,[status(thm),theory(equality)],[c_90624,c_2]) ).
tff(c_177065,plain,
! [U_867,U_868] : ( inverse(multiply(U_867,inverse(multiply(U_868,U_867)))) = U_868 ),
inference(demodulation,[status(thm),theory(equality)],[c_159702,c_159702,c_91384]) ).
tff(c_177092,plain,
! [U_867,U_868] : ( multiply(U_867,inverse(multiply(U_868,U_867))) = inverse(U_868) ),
inference(superposition,[status(thm),theory(equality)],[c_177065,c_172152]) ).
tff(c_163003,plain,
! [U_823,Y_809] : ( multiply(inverse(U_823),U_823) = multiply(Y_809,inverse(Y_809)) ),
inference(superposition,[status(thm),theory(equality)],[c_162965,c_159702]) ).
tff(c_107165,plain,
! [U_694,U_514] : ( multiply(inverse(U_694),U_694) = multiply(inverse(U_514),U_514) ),
inference(superposition,[status(thm),theory(equality)],[c_107157,c_106004]) ).
tff(c_241266,plain,
! [U_1099,U_1100] : ( multiply(inverse(U_1099),U_1099) = inverse(multiply(inverse(U_1100),U_1100)) ),
inference(superposition,[status(thm),theory(equality)],[c_107165,c_162965]) ).
tff(c_246186,plain,
! [U_1113,Y_1114] : ( multiply(inverse(U_1113),U_1113) = inverse(multiply(Y_1114,inverse(Y_1114))) ),
inference(superposition,[status(thm),theory(equality)],[c_163003,c_241266]) ).
tff(c_246655,plain,
! [U_697,Y_1114] : ( multiply(U_697,inverse(multiply(Y_1114,inverse(Y_1114)))) = U_697 ),
inference(superposition,[status(thm),theory(equality)],[c_246186,c_159729]) ).
tff(c_103836,plain,
! [Y_623,Y_622,Y_520] : ( multiply(multiply(inverse(Y_623),multiply(inverse(Y_622),inverse(Y_520))),Y_520) = inverse(multiply(Y_622,Y_623)) ),
inference(superposition,[status(thm),theory(equality)],[c_88013,c_103137]) ).
tff(c_246782,plain,
! [Y_1114,Y_520,Y_622] : ( multiply(inverse(multiply(Y_1114,inverse(Y_1114))),Y_520) = inverse(multiply(Y_622,multiply(inverse(Y_622),inverse(Y_520)))) ),
inference(superposition,[status(thm),theory(equality)],[c_246186,c_103836]) ).
tff(c_248240,plain,
! [Y_1117,Y_1118] : ( multiply(inverse(multiply(Y_1117,inverse(Y_1117))),Y_1118) = Y_1118 ),
inference(demodulation,[status(thm),theory(equality)],[c_172152,c_159702,c_246782]) ).
tff(c_180166,plain,
! [X_1,Y_2,Z_3,U_875] : ( inverse(multiply(X_1,multiply(Y_2,multiply(multiply(inverse(Y_2),Z_3),U_875)))) = inverse(multiply(multiply(X_1,Z_3),U_875)) ),
inference(superposition,[status(thm),theory(equality)],[c_179670,c_2]) ).
tff(c_168995,plain,
! [X_847,U_840,Z_841,Y_848,Y_842,U_845] : ( inverse(inverse(multiply(Y_842,multiply(Y_848,multiply(multiply(inverse(Y_848),multiply(multiply(inverse(Y_842),multiply(multiply(U_845,Z_841),inverse(multiply(U_840,multiply(X_847,Z_841))))),U_840)),X_847))))) = U_845 ),
inference(superposition,[status(thm),theory(equality)],[c_168165,c_2]) ).
tff(c_227626,plain,
! [X_847,U_840,Z_841,Y_842,U_845] : ( multiply(multiply(Y_842,multiply(multiply(inverse(Y_842),multiply(multiply(U_845,Z_841),inverse(multiply(U_840,multiply(X_847,Z_841))))),U_840)),X_847) = U_845 ),
inference(demodulation,[status(thm),theory(equality)],[c_172152,c_180166,c_168995]) ).
tff(c_248522,plain,
! [X_847,Z_841,Y_1117,Y_842,U_845] : ( multiply(multiply(Y_842,multiply(multiply(inverse(Y_842),multiply(multiply(U_845,Z_841),inverse(multiply(X_847,Z_841)))),inverse(multiply(Y_1117,inverse(Y_1117))))),X_847) = U_845 ),
inference(superposition,[status(thm),theory(equality)],[c_248240,c_227626]) ).
tff(c_316831,plain,
! [U_1324,Z_1325,X_1326] : ( multiply(multiply(multiply(U_1324,Z_1325),inverse(multiply(X_1326,Z_1325))),X_1326) = U_1324 ),
inference(demodulation,[status(thm),theory(equality)],[c_159702,c_246655,c_248522]) ).
tff(c_317817,plain,
! [U_1324,U_868,U_867] : ( multiply(multiply(multiply(U_1324,inverse(multiply(U_868,U_867))),inverse(inverse(U_868))),U_867) = U_1324 ),
inference(superposition,[status(thm),theory(equality)],[c_177092,c_316831]) ).
tff(c_325230,plain,
! [U_1349,U_1350,U_1351] : ( multiply(multiply(multiply(U_1349,inverse(multiply(U_1350,U_1351))),U_1350),U_1351) = U_1349 ),
inference(demodulation,[status(thm),theory(equality)],[c_172152,c_317817]) ).
tff(c_326445,plain,
! [Y_1033,U_1350,U_1351] : ( multiply(Y_1033,inverse(inverse(multiply(U_1350,U_1351)))) = multiply(multiply(Y_1033,U_1350),U_1351) ),
inference(superposition,[status(thm),theory(equality)],[c_224158,c_325230]) ).
tff(c_326715,plain,
! [Y_1033,U_1350,U_1351] : ( multiply(multiply(Y_1033,U_1350),U_1351) = multiply(Y_1033,multiply(U_1350,U_1351)) ),
inference(demodulation,[status(thm),theory(equality)],[c_172152,c_326445]) ).
tff(c_64252,plain,
( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_64270,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitLeft,[status(thm)],[c_64252]) ).
tff(c_326876,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_326715,c_64270]) ).
tff(c_326877,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(splitRight,[status(thm)],[c_64252]) ).
tff(c_414540,plain,
! [Y_1763] : ( multiply(multiply(Y_1763,inverse(Y_1763)),a2) != a2 ),
inference(superposition,[status(thm),theory(equality)],[c_413220,c_326877]) ).
tff(c_414542,plain,
! [U_1756] : ( multiply(multiply(inverse(U_1756),U_1756),a2) != a2 ),
inference(superposition,[status(thm),theory(equality)],[c_411774,c_414540]) ).
tff(c_421554,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_420175,c_414542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP061-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:37:39 EDT 2023
% 0.14/0.34 % CPUTime :
% 228.43/105.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 228.43/105.61
% 228.43/105.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 228.62/105.67
% 228.62/105.67 Inference rules
% 228.62/105.67 ----------------------
% 228.62/105.67 #Ref : 1
% 228.62/105.67 #Sup : 124117
% 228.62/105.67 #Fact : 0
% 228.62/105.67 #Define : 0
% 228.62/105.67 #Split : 2
% 228.62/105.67 #Chain : 0
% 228.62/105.67 #Close : 0
% 228.62/105.67
% 228.62/105.67 Ordering : KBO
% 228.62/105.67
% 228.62/105.67 Simplification rules
% 228.62/105.67 ----------------------
% 228.62/105.67 #Subsume : 1918
% 228.62/105.67 #Demod : 37320
% 228.62/105.67 #Tautology : 8136
% 228.62/105.67 #SimpNegUnit : 0
% 228.62/105.67 #BackRed : 275
% 228.62/105.67
% 228.62/105.67 #Partial instantiations: 0
% 228.62/105.67 #Strategies tried : 1
% 228.62/105.67
% 228.62/105.67 Timing (in seconds)
% 228.62/105.67 ----------------------
% 228.62/105.67 Preprocessing : 0.44
% 228.62/105.67 Parsing : 0.23
% 228.62/105.67 CNF conversion : 0.02
% 228.62/105.67 Main loop : 104.05
% 228.62/105.67 Inferencing : 18.42
% 228.62/105.67 Reduction : 61.96
% 228.62/105.67 Demodulation : 59.83
% 228.62/105.67 BG Simplification : 3.72
% 228.62/105.67 Subsumption : 9.79
% 228.62/105.67 Abstraction : 6.22
% 228.62/105.67 MUC search : 0.00
% 228.62/105.67 Cooper : 0.00
% 228.62/105.67 Total : 104.59
% 228.62/105.67 Index Insertion : 0.00
% 228.62/105.67 Index Deletion : 0.00
% 228.62/105.67 Index Matching : 0.00
% 228.62/105.67 BG Taut test : 0.00
%------------------------------------------------------------------------------