TSTP Solution File: GRP074-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : 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 10:39:46 EDT 2023
% Result : Unsatisfiable 188.72s 118.52s
% Output : CNFRefutation 189.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 200 ( 187 unt; 10 typ; 0 def)
% Number of atoms : 195 ( 192 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 14 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 679 (; 679 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #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(divide,type,
divide: ( $i * $i ) > $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_28,axiom,
! [X,Y] : ( multiply(X,Y) = divide(X,inverse(Y)) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X,Y,Z,U] : ( divide(inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,U)))),U) = Z ),
file(unknown,unknown) ).
tff(f_36,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_4,plain,
! [X_5,Y_6] : ( divide(X_5,inverse(Y_6)) = multiply(X_5,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3,U_4] : ( divide(inverse(divide(divide(divide(X_1,X_1),Y_2),divide(Z_3,divide(Y_2,U_4)))),U_4) = Z_3 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_16,plain,
! [X_9,Y_10,Z_11,U_12] : ( divide(inverse(divide(divide(divide(X_9,X_9),Y_10),divide(Z_11,divide(Y_10,U_12)))),U_12) = Z_11 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_1068,plain,
! [U_73,X_72,Y_70,Z_71,Y_74,X_69] : ( inverse(divide(divide(divide(X_72,X_72),Y_74),divide(Z_71,divide(Y_74,divide(Y_70,U_73))))) = divide(inverse(divide(divide(divide(X_69,X_69),Y_70),Z_71)),U_73) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16]) ).
tff(c_1272,plain,
! [X_69,Y_70,Z_71,U_73] : ( divide(divide(inverse(divide(divide(divide(X_69,X_69),Y_70),Z_71)),U_73),divide(Y_70,U_73)) = Z_71 ),
inference(superposition,[status(thm),theory(equality)],[c_1068,c_2]) ).
tff(c_3386,plain,
! [U_123,Y_122,Z_119,Y_121,X_120] : ( inverse(divide(divide(divide(X_120,X_120),Y_122),divide(divide(Z_119,divide(Y_121,U_123)),divide(Y_122,divide(Y_121,U_123))))) = Z_119 ),
inference(superposition,[status(thm),theory(equality)],[c_1068,c_2]) ).
tff(c_3633,plain,
! [U_73,Y_70,Z_71,Y_122,Z_119,X_69,X_120] : ( inverse(divide(divide(divide(X_120,X_120),Y_122),divide(divide(Z_119,Z_71),divide(Y_122,divide(divide(inverse(divide(divide(divide(X_69,X_69),Y_70),Z_71)),U_73),divide(Y_70,U_73)))))) = Z_119 ),
inference(superposition,[status(thm),theory(equality)],[c_1272,c_3386]) ).
tff(c_3849,plain,
! [X_124,Y_125,Z_126,Z_127] : ( inverse(divide(divide(divide(X_124,X_124),Y_125),divide(divide(Z_126,Z_127),divide(Y_125,Z_127)))) = Z_126 ),
inference(demodulation,[status(thm),theory(equality)],[c_1272,c_3633]) ).
tff(c_1472,plain,
! [X_75,Y_76,Z_77,U_78] : ( divide(divide(inverse(divide(divide(divide(X_75,X_75),Y_76),Z_77)),U_78),divide(Y_76,U_78)) = Z_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1068,c_2]) ).
tff(c_1624,plain,
! [X_75,Y_76,Z_77,Y_6] : ( divide(multiply(inverse(divide(divide(divide(X_75,X_75),Y_76),Z_77)),Y_6),divide(Y_76,inverse(Y_6))) = Z_77 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1472]) ).
tff(c_1655,plain,
! [X_75,Y_76,Z_77,Y_6] : ( divide(multiply(inverse(divide(divide(divide(X_75,X_75),Y_76),Z_77)),Y_6),multiply(Y_76,Y_6)) = Z_77 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1624]) ).
tff(c_3879,plain,
! [Z_126,Y_6,Y_125,Z_127] : ( divide(multiply(Z_126,Y_6),multiply(Y_125,Y_6)) = divide(divide(Z_126,Z_127),divide(Y_125,Z_127)) ),
inference(superposition,[status(thm),theory(equality)],[c_3849,c_1655]) ).
tff(c_4133,plain,
! [Y_6,Y_125,Z_126,Z_127] : ( inverse(divide(divide(multiply(inverse(Y_6),Y_6),Y_125),divide(divide(Z_126,Z_127),divide(Y_125,Z_127)))) = Z_126 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3849]) ).
tff(c_18420,plain,
! [Z_253,X_254,Y_257,X_256,Z_255] : ( multiply(X_256,divide(divide(divide(X_254,X_254),Y_257),divide(divide(Z_255,Z_253),divide(Y_257,Z_253)))) = divide(X_256,Z_255) ),
inference(superposition,[status(thm),theory(equality)],[c_3849,c_4]) ).
tff(c_19194,plain,
! [Z_253,Y_257,Y_6,X_256,Z_255] : ( multiply(X_256,divide(divide(multiply(inverse(Y_6),Y_6),Y_257),divide(divide(Z_255,Z_253),divide(Y_257,Z_253)))) = divide(X_256,Z_255) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18420]) ).
tff(c_1657,plain,
! [X_79,Y_80,Z_81,Y_82] : ( divide(multiply(inverse(divide(divide(divide(X_79,X_79),Y_80),Z_81)),Y_82),multiply(Y_80,Y_82)) = Z_81 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1624]) ).
tff(c_2640,plain,
! [Y_103,Y_104,Z_105,Y_106] : ( divide(multiply(inverse(divide(divide(multiply(inverse(Y_103),Y_103),Y_104),Z_105)),Y_106),multiply(Y_104,Y_106)) = Z_105 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1657]) ).
tff(c_14777,plain,
! [Y_221,Y_222,Y_223,Y_224] : ( divide(multiply(inverse(multiply(divide(multiply(inverse(Y_221),Y_221),Y_222),Y_223)),Y_224),multiply(Y_222,Y_224)) = inverse(Y_223) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2640]) ).
tff(c_15098,plain,
! [Y_221,Y_6,Y_223,Y_224] : ( divide(multiply(inverse(multiply(multiply(multiply(inverse(Y_221),Y_221),Y_6),Y_223)),Y_224),multiply(inverse(Y_6),Y_224)) = inverse(Y_223) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14777]) ).
tff(c_4182,plain,
! [Z_128,Y_129,Y_130,Z_131] : ( divide(multiply(Z_128,Y_129),multiply(Y_130,Y_129)) = divide(divide(Z_128,Z_131),divide(Y_130,Z_131)) ),
inference(superposition,[status(thm),theory(equality)],[c_3849,c_1655]) ).
tff(c_57147,plain,
! [X_413,Z_415,U_416,Y_414,Y_412] : ( divide(divide(inverse(divide(multiply(divide(X_413,X_413),Y_414),multiply(Y_412,Y_414))),U_416),divide(Z_415,U_416)) = divide(Y_412,Z_415) ),
inference(superposition,[status(thm),theory(equality)],[c_4182,c_1272]) ).
tff(c_1556,plain,
! [Y_70,Z_71,U_78,Z_77,X_69] : ( divide(divide(inverse(divide(Z_71,Z_77)),U_78),divide(divide(Y_70,inverse(divide(divide(divide(X_69,X_69),Y_70),Z_71))),U_78)) = Z_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1272,c_1472]) ).
tff(c_1639,plain,
! [Y_70,Z_71,U_78,Z_77,X_69] : ( divide(divide(inverse(divide(Z_71,Z_77)),U_78),divide(multiply(Y_70,divide(divide(divide(X_69,X_69),Y_70),Z_71)),U_78)) = Z_77 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1556]) ).
tff(c_58560,plain,
! [Y_421,Y_418,X_419,Y_417,X_420] : ( divide(Y_421,multiply(Y_417,divide(divide(divide(X_419,X_419),Y_417),multiply(divide(X_420,X_420),Y_418)))) = multiply(Y_421,Y_418) ),
inference(superposition,[status(thm),theory(equality)],[c_57147,c_1639]) ).
tff(c_2517,plain,
! [X_99,Y_100,Z_101,Y_102] : ( divide(multiply(inverse(divide(multiply(divide(X_99,X_99),Y_100),Z_101)),Y_102),multiply(inverse(Y_100),Y_102)) = Z_101 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1657]) ).
tff(c_2625,plain,
! [Y_6,Y_100,Z_101,Y_102] : ( divide(multiply(inverse(divide(multiply(multiply(inverse(Y_6),Y_6),Y_100),Z_101)),Y_102),multiply(inverse(Y_100),Y_102)) = Z_101 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2517]) ).
tff(c_59120,plain,
! [Y_418,X_419,Y_100,Y_417,Y_6,X_420,Y_102] : ( multiply(Y_417,divide(divide(divide(X_419,X_419),Y_417),multiply(divide(X_420,X_420),Y_418))) = divide(multiply(inverse(multiply(multiply(multiply(inverse(Y_6),Y_6),Y_100),Y_418)),Y_102),multiply(inverse(Y_100),Y_102)) ),
inference(superposition,[status(thm),theory(equality)],[c_58560,c_2625]) ).
tff(c_61816,plain,
! [Y_428,X_429,X_430,Y_431] : ( multiply(Y_428,divide(divide(divide(X_429,X_429),Y_428),multiply(divide(X_430,X_430),Y_431))) = inverse(Y_431) ),
inference(demodulation,[status(thm),theory(equality)],[c_15098,c_59120]) ).
tff(c_62427,plain,
! [Z_253,X_430,Y_257,Y_6,Y_428,X_429,Z_255] : ( multiply(Y_428,divide(divide(divide(X_429,X_429),Y_428),divide(divide(X_430,X_430),Z_255))) = inverse(divide(divide(multiply(inverse(Y_6),Y_6),Y_257),divide(divide(Z_255,Z_253),divide(Y_257,Z_253)))) ),
inference(superposition,[status(thm),theory(equality)],[c_19194,c_61816]) ).
tff(c_62765,plain,
! [Y_432,X_433,X_434,Z_435] : ( multiply(Y_432,divide(divide(divide(X_433,X_433),Y_432),divide(divide(X_434,X_434),Z_435))) = Z_435 ),
inference(demodulation,[status(thm),theory(equality)],[c_4133,c_62427]) ).
tff(c_63564,plain,
! [Z_127,X_433,Y_6,X_434] : ( multiply(Z_127,divide(multiply(divide(X_433,X_433),Y_6),multiply(divide(X_434,X_434),Y_6))) = Z_127 ),
inference(superposition,[status(thm),theory(equality)],[c_3879,c_62765]) ).
tff(c_64747,plain,
! [Z_440,X_441,Y_442,X_443] : ( multiply(Z_440,divide(multiply(divide(X_441,X_441),Y_442),multiply(divide(X_443,X_443),Y_442))) = Z_440 ),
inference(superposition,[status(thm),theory(equality)],[c_3879,c_62765]) ).
tff(c_64751,plain,
! [X_434,X_441,X_443,X_433,Y_442,Z_127] : ( multiply(Z_127,divide(divide(X_433,X_433),multiply(divide(X_434,X_434),divide(multiply(divide(X_441,X_441),Y_442),multiply(divide(X_443,X_443),Y_442))))) = Z_127 ),
inference(superposition,[status(thm),theory(equality)],[c_64747,c_63564]) ).
tff(c_65994,plain,
! [Z_444,X_445,X_446] : ( multiply(Z_444,divide(divide(X_445,X_445),divide(X_446,X_446))) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_63564,c_64751]) ).
tff(c_62724,plain,
! [Y_428,X_429,X_430,Z_255] : ( multiply(Y_428,divide(divide(divide(X_429,X_429),Y_428),divide(divide(X_430,X_430),Z_255))) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_4133,c_62427]) ).
tff(c_67152,plain,
! [X_448,X_447] : ( divide(X_448,X_448) = divide(X_447,X_447) ),
inference(superposition,[status(thm),theory(equality)],[c_65994,c_62724]) ).
tff(c_69680,plain,
! [Y_6,X_448] : ( multiply(inverse(Y_6),Y_6) = divide(X_448,X_448) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67152]) ).
tff(c_73649,plain,
! [Y_457,X_458] : ( multiply(inverse(Y_457),Y_457) = divide(X_458,X_458) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_67152]) ).
tff(c_6,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_36]) ).
tff(c_130,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_96920,plain,
! [X_503] : ( multiply(inverse(a1),a1) != divide(X_503,X_503) ),
inference(superposition,[status(thm),theory(equality)],[c_73649,c_130]) ).
tff(c_96946,plain,
! [X_503,X_448] : ( divide(X_503,X_503) != divide(X_448,X_448) ),
inference(superposition,[status(thm),theory(equality)],[c_69680,c_96920]) ).
tff(c_66017,plain,
! [X_430,X_429] : ( divide(X_430,X_430) = divide(X_429,X_429) ),
inference(superposition,[status(thm),theory(equality)],[c_65994,c_62724]) ).
tff(c_97043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96946,c_66017]) ).
tff(c_97045,plain,
multiply(inverse(b1),b1) = multiply(inverse(a1),a1),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_51,plain,
! [X_9,X_5,Z_11,Y_6] : ( divide(inverse(divide(divide(divide(X_9,X_9),X_5),divide(Z_11,multiply(X_5,Y_6)))),inverse(Y_6)) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_97049,plain,
! [X_9,Z_11] : ( divide(inverse(divide(divide(divide(X_9,X_9),inverse(b1)),divide(Z_11,multiply(inverse(a1),a1)))),inverse(b1)) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_97045,c_51]) ).
tff(c_97055,plain,
! [X_9,Z_11] : ( multiply(inverse(divide(multiply(divide(X_9,X_9),b1),divide(Z_11,multiply(inverse(a1),a1)))),b1) = Z_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_97049]) ).
tff(c_98088,plain,
! [U_554,Y_557,Y_553,X_555,X_552,Z_556] : ( inverse(divide(divide(divide(X_552,X_552),Y_553),divide(Z_556,divide(Y_553,divide(Y_557,U_554))))) = divide(inverse(divide(divide(divide(X_555,X_555),Y_557),Z_556)),U_554) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_98271,plain,
! [Y_557,Y_6,Z_11,Y_553,X_552] : ( inverse(divide(divide(divide(X_552,X_552),Y_553),divide(divide(Z_11,multiply(Y_557,Y_6)),divide(Y_553,divide(Y_557,inverse(Y_6)))))) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_98088,c_51]) ).
tff(c_100144,plain,
! [Y_598,Y_597,Z_600,Y_599,X_596] : ( inverse(divide(divide(divide(X_596,X_596),Y_597),divide(divide(Z_600,multiply(Y_598,Y_599)),divide(Y_597,multiply(Y_598,Y_599))))) = Z_600 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98271]) ).
tff(c_100336,plain,
! [Y_597,Z_600,Z_11,X_596,X_9] : ( inverse(divide(divide(divide(X_596,X_596),Y_597),divide(divide(Z_600,Z_11),divide(Y_597,multiply(inverse(divide(multiply(divide(X_9,X_9),b1),divide(Z_11,multiply(inverse(a1),a1)))),b1))))) = Z_600 ),
inference(superposition,[status(thm),theory(equality)],[c_97055,c_100144]) ).
tff(c_100438,plain,
! [X_601,Y_602,Z_603,Z_604] : ( inverse(divide(divide(divide(X_601,X_601),Y_602),divide(divide(Z_603,Z_604),divide(Y_602,Z_604)))) = Z_603 ),
inference(demodulation,[status(thm),theory(equality)],[c_97055,c_100336]) ).
tff(c_98505,plain,
! [X_558,Y_559,Z_560,U_561] : ( divide(divide(inverse(divide(divide(divide(X_558,X_558),Y_559),Z_560)),U_561),divide(Y_559,U_561)) = Z_560 ),
inference(superposition,[status(thm),theory(equality)],[c_98088,c_2]) ).
tff(c_98653,plain,
! [X_558,Y_559,Z_560,Y_6] : ( divide(multiply(inverse(divide(divide(divide(X_558,X_558),Y_559),Z_560)),Y_6),divide(Y_559,inverse(Y_6))) = Z_560 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98505]) ).
tff(c_98684,plain,
! [X_558,Y_559,Z_560,Y_6] : ( divide(multiply(inverse(divide(divide(divide(X_558,X_558),Y_559),Z_560)),Y_6),multiply(Y_559,Y_6)) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98653]) ).
tff(c_100459,plain,
! [Z_603,Y_6,Y_602,Z_604] : ( divide(multiply(Z_603,Y_6),multiply(Y_602,Y_6)) = divide(divide(Z_603,Z_604),divide(Y_602,Z_604)) ),
inference(superposition,[status(thm),theory(equality)],[c_100438,c_98684]) ).
tff(c_100709,plain,
! [X_601,Y_602,X_5,Y_6] : ( inverse(divide(divide(divide(X_601,X_601),Y_602),divide(multiply(X_5,Y_6),divide(Y_602,inverse(Y_6))))) = X_5 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100438]) ).
tff(c_103764,plain,
! [X_625,Y_626,X_627,Y_628] : ( inverse(divide(divide(divide(X_625,X_625),Y_626),divide(multiply(X_627,Y_628),multiply(Y_626,Y_628)))) = X_627 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_100709]) ).
tff(c_103987,plain,
! [Y_6,Y_626,X_627,Y_628] : ( inverse(divide(divide(multiply(inverse(Y_6),Y_6),Y_626),divide(multiply(X_627,Y_628),multiply(Y_626,Y_628)))) = X_627 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_103764]) ).
tff(c_121335,plain,
! [X_758,Z_759,Y_761,X_762,Z_760] : ( multiply(X_762,divide(divide(divide(X_758,X_758),Y_761),divide(divide(Z_759,Z_760),divide(Y_761,Z_760)))) = divide(X_762,Z_759) ),
inference(superposition,[status(thm),theory(equality)],[c_100438,c_4]) ).
tff(c_122260,plain,
! [X_758,Z_759,Y_6,X_5,X_762] : ( multiply(X_762,divide(divide(divide(X_758,X_758),X_5),divide(divide(Z_759,inverse(Y_6)),multiply(X_5,Y_6)))) = divide(X_762,Z_759) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_121335]) ).
tff(c_122448,plain,
! [X_764,X_763,Z_766,Y_765,X_767] : ( multiply(X_763,divide(divide(divide(X_764,X_764),X_767),divide(multiply(Z_766,Y_765),multiply(X_767,Y_765)))) = divide(X_763,Z_766) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_122260]) ).
tff(c_123153,plain,
! [X_763,Y_6,Z_766,Y_765,X_767] : ( multiply(X_763,divide(divide(multiply(inverse(Y_6),Y_6),X_767),divide(multiply(Z_766,Y_765),multiply(X_767,Y_765)))) = divide(X_763,Z_766) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_122448]) ).
tff(c_99221,plain,
! [X_574,Y_575,Z_576,U_577] : ( divide(divide(inverse(divide(multiply(divide(X_574,X_574),Y_575),Z_576)),U_577),divide(inverse(Y_575),U_577)) = Z_576 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98505]) ).
tff(c_99369,plain,
! [X_574,Y_575,Y_6,U_577] : ( divide(divide(inverse(multiply(multiply(divide(X_574,X_574),Y_575),Y_6)),U_577),divide(inverse(Y_575),U_577)) = inverse(Y_6) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_99221]) ).
tff(c_103399,plain,
! [Y_621,Y_622,Z_623,Z_624] : ( inverse(divide(divide(multiply(inverse(Y_621),Y_621),Y_622),divide(divide(Z_623,Z_624),divide(Y_622,Z_624)))) = Z_623 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100438]) ).
tff(c_103564,plain,
! [X_574,Y_575,Y_6,Y_621] : ( inverse(multiply(multiply(divide(X_574,X_574),Y_575),Y_6)) = inverse(divide(divide(multiply(inverse(Y_621),Y_621),inverse(Y_575)),inverse(Y_6))) ),
inference(superposition,[status(thm),theory(equality)],[c_99369,c_103399]) ).
tff(c_103734,plain,
! [Y_621,Y_575,Y_6,X_574] : ( inverse(multiply(multiply(multiply(inverse(Y_621),Y_621),Y_575),Y_6)) = inverse(multiply(multiply(divide(X_574,X_574),Y_575),Y_6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_103564]) ).
tff(c_98686,plain,
! [X_562,Y_563,Z_564,Y_565] : ( divide(multiply(inverse(divide(divide(divide(X_562,X_562),Y_563),Z_564)),Y_565),multiply(Y_563,Y_565)) = Z_564 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98653]) ).
tff(c_99406,plain,
! [X_578,Y_579,Y_580,Y_581] : ( divide(multiply(inverse(multiply(divide(divide(X_578,X_578),Y_579),Y_580)),Y_581),multiply(Y_579,Y_581)) = inverse(Y_580) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98686]) ).
tff(c_99530,plain,
! [X_578,Y_580] : ( divide(multiply(inverse(multiply(divide(divide(X_578,X_578),inverse(b1)),Y_580)),b1),multiply(inverse(a1),a1)) = inverse(Y_580) ),
inference(superposition,[status(thm),theory(equality)],[c_97045,c_99406]) ).
tff(c_117087,plain,
! [X_730,Y_731] : ( divide(multiply(inverse(multiply(multiply(divide(X_730,X_730),b1),Y_731)),b1),multiply(inverse(a1),a1)) = inverse(Y_731) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99530]) ).
tff(c_117225,plain,
! [Y_621,Y_6] : ( divide(multiply(inverse(multiply(multiply(multiply(inverse(Y_621),Y_621),b1),Y_6)),b1),multiply(inverse(a1),a1)) = inverse(Y_6) ),
inference(superposition,[status(thm),theory(equality)],[c_103734,c_117087]) ).
tff(c_100748,plain,
! [Z_605,Y_606,Y_607,Z_608] : ( divide(multiply(Z_605,Y_606),multiply(Y_607,Y_606)) = divide(divide(Z_605,Z_608),divide(Y_607,Z_608)) ),
inference(superposition,[status(thm),theory(equality)],[c_100438,c_98684]) ).
tff(c_98300,plain,
! [X_555,Y_557,Z_556,U_554] : ( divide(divide(inverse(divide(divide(divide(X_555,X_555),Y_557),Z_556)),U_554),divide(Y_557,U_554)) = Z_556 ),
inference(superposition,[status(thm),theory(equality)],[c_98088,c_2]) ).
tff(c_198011,plain,
! [Y_1003,Y_1006,U_1005,X_1002,Z_1004] : ( divide(divide(inverse(divide(multiply(divide(X_1002,X_1002),Y_1006),multiply(Y_1003,Y_1006))),U_1005),divide(Z_1004,U_1005)) = divide(Y_1003,Z_1004) ),
inference(superposition,[status(thm),theory(equality)],[c_100748,c_98300]) ).
tff(c_98509,plain,
! [U_554,Z_560,Y_559,Z_556,X_558] : ( divide(divide(inverse(divide(Z_560,Z_556)),U_554),divide(divide(Y_559,inverse(divide(divide(divide(X_558,X_558),Y_559),Z_560))),U_554)) = Z_556 ),
inference(superposition,[status(thm),theory(equality)],[c_98505,c_98300]) ).
tff(c_98657,plain,
! [U_554,Z_560,Y_559,Z_556,X_558] : ( divide(divide(inverse(divide(Z_560,Z_556)),U_554),divide(multiply(Y_559,divide(divide(divide(X_558,X_558),Y_559),Z_560)),U_554)) = Z_556 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_98509]) ).
tff(c_199854,plain,
! [Y_1010,X_1011,Y_1008,X_1007,Y_1009] : ( divide(Y_1009,multiply(Y_1008,divide(divide(divide(X_1007,X_1007),Y_1008),multiply(divide(X_1011,X_1011),Y_1010)))) = multiply(Y_1009,Y_1010) ),
inference(superposition,[status(thm),theory(equality)],[c_198011,c_98657]) ).
tff(c_99706,plain,
! [Y_586,Y_587,Z_588,Y_589] : ( divide(multiply(inverse(divide(divide(multiply(inverse(Y_586),Y_586),Y_587),Z_588)),Y_589),multiply(Y_587,Y_589)) = Z_588 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98686]) ).
tff(c_99838,plain,
! [Y_586,Z_588] : ( divide(multiply(inverse(divide(divide(multiply(inverse(Y_586),Y_586),inverse(b1)),Z_588)),b1),multiply(inverse(a1),a1)) = Z_588 ),
inference(superposition,[status(thm),theory(equality)],[c_97045,c_99706]) ).
tff(c_99866,plain,
! [Y_586,Z_588] : ( divide(multiply(inverse(divide(multiply(multiply(inverse(Y_586),Y_586),b1),Z_588)),b1),multiply(inverse(a1),a1)) = Z_588 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99838]) ).
tff(c_200776,plain,
! [Y_1010,X_1011,Y_1008,X_1007,Y_586] : ( multiply(Y_1008,divide(divide(divide(X_1007,X_1007),Y_1008),multiply(divide(X_1011,X_1011),Y_1010))) = divide(multiply(inverse(multiply(multiply(multiply(inverse(Y_586),Y_586),b1),Y_1010)),b1),multiply(inverse(a1),a1)) ),
inference(superposition,[status(thm),theory(equality)],[c_199854,c_99866]) ).
tff(c_202314,plain,
! [Y_1012,X_1013,X_1014,Y_1015] : ( multiply(Y_1012,divide(divide(divide(X_1013,X_1013),Y_1012),multiply(divide(X_1014,X_1014),Y_1015))) = inverse(Y_1015) ),
inference(demodulation,[status(thm),theory(equality)],[c_117225,c_200776]) ).
tff(c_202979,plain,
! [Y_6,Z_766,X_1014,Y_765,X_1013,Y_1012,X_767] : ( multiply(Y_1012,divide(divide(divide(X_1013,X_1013),Y_1012),divide(divide(X_1014,X_1014),Z_766))) = inverse(divide(divide(multiply(inverse(Y_6),Y_6),X_767),divide(multiply(Z_766,Y_765),multiply(X_767,Y_765)))) ),
inference(superposition,[status(thm),theory(equality)],[c_123153,c_202314]) ).
tff(c_206136,plain,
! [Y_1022,X_1023,X_1024,Z_1025] : ( multiply(Y_1022,divide(divide(divide(X_1023,X_1023),Y_1022),divide(divide(X_1024,X_1024),Z_1025))) = Z_1025 ),
inference(demodulation,[status(thm),theory(equality)],[c_103987,c_202979]) ).
tff(c_207216,plain,
! [Z_604,X_1023,Y_6,X_1024] : ( multiply(Z_604,divide(multiply(divide(X_1023,X_1023),Y_6),multiply(divide(X_1024,X_1024),Y_6))) = Z_604 ),
inference(superposition,[status(thm),theory(equality)],[c_100459,c_206136]) ).
tff(c_208763,plain,
! [Z_1030,X_1031,Y_1032,X_1033] : ( multiply(Z_1030,divide(multiply(divide(X_1031,X_1031),Y_1032),multiply(divide(X_1033,X_1033),Y_1032))) = Z_1030 ),
inference(superposition,[status(thm),theory(equality)],[c_100459,c_206136]) ).
tff(c_208767,plain,
! [Y_1032,X_1031,X_1024,X_1023,X_1033,Z_604] : ( multiply(Z_604,divide(divide(X_1023,X_1023),multiply(divide(X_1024,X_1024),divide(multiply(divide(X_1031,X_1031),Y_1032),multiply(divide(X_1033,X_1033),Y_1032))))) = Z_604 ),
inference(superposition,[status(thm),theory(equality)],[c_208763,c_207216]) ).
tff(c_210344,plain,
! [Z_1034,X_1035,X_1036] : ( multiply(Z_1034,divide(divide(X_1035,X_1035),divide(X_1036,X_1036))) = Z_1034 ),
inference(demodulation,[status(thm),theory(equality)],[c_207216,c_208767]) ).
tff(c_122445,plain,
! [X_758,Z_759,Y_6,X_5,X_762] : ( multiply(X_762,divide(divide(divide(X_758,X_758),X_5),divide(multiply(Z_759,Y_6),multiply(X_5,Y_6)))) = divide(X_762,Z_759) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_122260]) ).
tff(c_218246,plain,
! [Z_1045,X_1046] : ( divide(Z_1045,divide(X_1046,X_1046)) = Z_1045 ),
inference(superposition,[status(thm),theory(equality)],[c_210344,c_122445]) ).
tff(c_23,plain,
! [U_4,Z_11,X_1,Y_10,X_9,Y_2] : ( inverse(divide(divide(divide(X_9,X_9),Y_10),divide(Z_11,divide(Y_10,divide(Y_2,U_4))))) = divide(inverse(divide(divide(divide(X_1,X_1),Y_2),Z_11)),U_4) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_219913,plain,
! [U_4,X_1,Y_10,X_9,Y_2] : ( inverse(divide(divide(X_9,X_9),Y_10)) = divide(inverse(divide(divide(divide(X_1,X_1),Y_2),divide(Y_10,divide(Y_2,U_4)))),U_4) ),
inference(superposition,[status(thm),theory(equality)],[c_218246,c_23]) ).
tff(c_239499,plain,
! [X_1075,Y_1076] : ( inverse(divide(divide(X_1075,X_1075),Y_1076)) = Y_1076 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_219913]) ).
tff(c_240343,plain,
! [Y_6,Y_1076] : ( inverse(divide(multiply(inverse(Y_6),Y_6),Y_1076)) = Y_1076 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_239499]) ).
tff(c_210807,plain,
! [Z_1034,X_758] : ( divide(Z_1034,divide(X_758,X_758)) = Z_1034 ),
inference(superposition,[status(thm),theory(equality)],[c_210344,c_122445]) ).
tff(c_220601,plain,
! [X_9,Y_10] : ( inverse(divide(divide(X_9,X_9),Y_10)) = Y_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_219913]) ).
tff(c_203471,plain,
! [Y_1012,X_1013,X_1014,Z_766] : ( multiply(Y_1012,divide(divide(divide(X_1013,X_1013),Y_1012),divide(divide(X_1014,X_1014),Z_766))) = Z_766 ),
inference(demodulation,[status(thm),theory(equality)],[c_103987,c_202979]) ).
tff(c_245999,plain,
! [X_1085,Y_1086] : ( inverse(multiply(divide(X_1085,X_1085),Y_1086)) = inverse(Y_1086) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_239499]) ).
tff(c_246401,plain,
! [X_1013,X_1085,X_1014,Z_766] : ( inverse(divide(divide(divide(X_1013,X_1013),divide(X_1085,X_1085)),divide(divide(X_1014,X_1014),Z_766))) = inverse(Z_766) ),
inference(superposition,[status(thm),theory(equality)],[c_203471,c_245999]) ).
tff(c_253478,plain,
! [X_1098,Z_1099] : ( divide(divide(X_1098,X_1098),Z_1099) = inverse(Z_1099) ),
inference(demodulation,[status(thm),theory(equality)],[c_220601,c_210807,c_246401]) ).
tff(c_44,plain,
! [Y_6,Y_10,Z_11,U_12] : ( divide(inverse(divide(divide(multiply(inverse(Y_6),Y_6),Y_10),divide(Z_11,divide(Y_10,U_12)))),U_12) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_254059,plain,
! [Y_6,X_1098,Z_11,Z_1099] : ( divide(inverse(divide(divide(multiply(inverse(Y_6),Y_6),divide(X_1098,X_1098)),divide(Z_11,inverse(Z_1099)))),Z_1099) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_253478,c_44]) ).
tff(c_254329,plain,
! [Z_11,Z_1099] : ( divide(multiply(Z_11,Z_1099),Z_1099) = Z_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_240343,c_210807,c_4,c_254059]) ).
tff(c_101409,plain,
! [X_5,Y_606,Y_607,Y_6] : ( divide(multiply(X_5,Y_606),multiply(Y_607,Y_606)) = divide(multiply(X_5,Y_6),divide(Y_607,inverse(Y_6))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_100748]) ).
tff(c_101483,plain,
! [X_5,Y_606,Y_607,Y_6] : ( divide(multiply(X_5,Y_606),multiply(Y_607,Y_606)) = divide(multiply(X_5,Y_6),multiply(Y_607,Y_6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_101409]) ).
tff(c_209447,plain,
! [Y_1032,X_1031,Y_606,Z_1030,X_1033,Y_607] : ( divide(multiply(Z_1030,Y_606),multiply(Y_607,Y_606)) = divide(Z_1030,multiply(Y_607,divide(multiply(divide(X_1031,X_1031),Y_1032),multiply(divide(X_1033,X_1033),Y_1032)))) ),
inference(superposition,[status(thm),theory(equality)],[c_208763,c_101483]) ).
tff(c_315809,plain,
! [Z_1444,Y_1445,Y_1446] : ( divide(multiply(Z_1444,Y_1445),multiply(Y_1446,Y_1445)) = divide(Z_1444,Y_1446) ),
inference(demodulation,[status(thm),theory(equality)],[c_207216,c_209447]) ).
tff(c_98641,plain,
! [Y_6,Y_559,Z_560,U_561] : ( divide(divide(inverse(divide(divide(multiply(inverse(Y_6),Y_6),Y_559),Z_560)),U_561),divide(Y_559,U_561)) = Z_560 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_98505]) ).
tff(c_254000,plain,
! [Y_6,X_1098,Z_560,Z_1099] : ( divide(divide(inverse(divide(divide(multiply(inverse(Y_6),Y_6),divide(X_1098,X_1098)),Z_560)),Z_1099),inverse(Z_1099)) = Z_560 ),
inference(superposition,[status(thm),theory(equality)],[c_253478,c_98641]) ).
tff(c_254319,plain,
! [Z_560,Z_1099] : ( multiply(divide(Z_560,Z_1099),Z_1099) = Z_560 ),
inference(demodulation,[status(thm),theory(equality)],[c_240343,c_4,c_210807,c_254000]) ).
tff(c_337551,plain,
! [Z_1518,Y_1519,Y_1520] : ( multiply(divide(Z_1518,Y_1519),multiply(Y_1519,Y_1520)) = multiply(Z_1518,Y_1520) ),
inference(superposition,[status(thm),theory(equality)],[c_315809,c_254319]) ).
tff(c_337912,plain,
! [Z_11,Z_1099,Y_1520] : ( multiply(multiply(Z_11,Z_1099),Y_1520) = multiply(Z_11,multiply(Z_1099,Y_1520)) ),
inference(superposition,[status(thm),theory(equality)],[c_254329,c_337551]) ).
tff(c_97044,plain,
( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_97058,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitLeft,[status(thm)],[c_97044]) ).
tff(c_338537,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_337912,c_97058]) ).
tff(c_338539,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(splitRight,[status(thm)],[c_97044]) ).
tff(c_30,plain,
! [X_9,Y_10,Z_11,Y_6] : ( multiply(inverse(divide(divide(divide(X_9,X_9),Y_10),divide(Z_11,divide(Y_10,inverse(Y_6))))),Y_6) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_4]) ).
tff(c_58,plain,
! [X_9,Y_10,Z_11,Y_6] : ( multiply(inverse(divide(divide(divide(X_9,X_9),Y_10),divide(Z_11,multiply(Y_10,Y_6)))),Y_6) = Z_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30]) ).
tff(c_338546,plain,
! [X_9,Z_11] : ( multiply(inverse(divide(divide(divide(X_9,X_9),multiply(a3,b3)),divide(Z_11,multiply(a3,multiply(b3,c3))))),c3) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_338539,c_58]) ).
tff(c_339586,plain,
! [X_1572,Z_1574,X_1575,U_1576,Y_1577,Y_1573] : ( inverse(divide(divide(divide(X_1575,X_1575),Y_1577),divide(Z_1574,divide(Y_1577,divide(Y_1573,U_1576))))) = divide(inverse(divide(divide(divide(X_1572,X_1572),Y_1573),Z_1574)),U_1576) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16]) ).
tff(c_339769,plain,
! [X_1575,Y_6,Y_1577,Z_11,Y_1573] : ( inverse(divide(divide(divide(X_1575,X_1575),Y_1577),divide(divide(Z_11,multiply(Y_1573,Y_6)),divide(Y_1577,divide(Y_1573,inverse(Y_6)))))) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_339586,c_51]) ).
tff(c_342514,plain,
! [Z_1638,Y_1637,Y_1636,X_1635,Y_1634] : ( inverse(divide(divide(divide(X_1635,X_1635),Y_1634),divide(divide(Z_1638,multiply(Y_1636,Y_1637)),divide(Y_1634,multiply(Y_1636,Y_1637))))) = Z_1638 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_339769]) ).
tff(c_342650,plain,
! [Z_1638,X_1635,Z_11,X_9,Y_1634] : ( inverse(divide(divide(divide(X_1635,X_1635),Y_1634),divide(divide(Z_1638,Z_11),divide(Y_1634,multiply(inverse(divide(divide(divide(X_9,X_9),multiply(a3,b3)),divide(Z_11,multiply(a3,multiply(b3,c3))))),c3))))) = Z_1638 ),
inference(superposition,[status(thm),theory(equality)],[c_338546,c_342514]) ).
tff(c_342875,plain,
! [X_1639,Y_1640,Z_1641,Z_1642] : ( inverse(divide(divide(divide(X_1639,X_1639),Y_1640),divide(divide(Z_1641,Z_1642),divide(Y_1640,Z_1642)))) = Z_1641 ),
inference(demodulation,[status(thm),theory(equality)],[c_338546,c_342650]) ).
tff(c_339798,plain,
! [X_1572,Y_1573,Z_1574,U_1576] : ( divide(divide(inverse(divide(divide(divide(X_1572,X_1572),Y_1573),Z_1574)),U_1576),divide(Y_1573,U_1576)) = Z_1574 ),
inference(superposition,[status(thm),theory(equality)],[c_339586,c_2]) ).
tff(c_344094,plain,
! [Z_1647,Z_1648,Y_1649,U_1650] : ( divide(divide(Z_1647,Z_1648),divide(Y_1649,Z_1648)) = divide(divide(Z_1647,U_1650),divide(Y_1649,U_1650)) ),
inference(superposition,[status(thm),theory(equality)],[c_342875,c_339798]) ).
tff(c_340003,plain,
! [X_1578,Y_1579,Z_1580,U_1581] : ( divide(divide(inverse(divide(divide(divide(X_1578,X_1578),Y_1579),Z_1580)),U_1581),divide(Y_1579,U_1581)) = Z_1580 ),
inference(superposition,[status(thm),theory(equality)],[c_339586,c_2]) ).
tff(c_340151,plain,
! [X_1578,Y_1579,Z_1580,Y_6] : ( divide(multiply(inverse(divide(divide(divide(X_1578,X_1578),Y_1579),Z_1580)),Y_6),divide(Y_1579,inverse(Y_6))) = Z_1580 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_340003]) ).
tff(c_340182,plain,
! [X_1578,Y_1579,Z_1580,Y_6] : ( divide(multiply(inverse(divide(divide(divide(X_1578,X_1578),Y_1579),Z_1580)),Y_6),multiply(Y_1579,Y_6)) = Z_1580 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_340151]) ).
tff(c_344344,plain,
! [Y_6,U_1650,Z_1580,Y_1649,Z_1648] : ( divide(multiply(inverse(divide(divide(divide(U_1650,Z_1648),divide(Y_1649,Z_1648)),Z_1580)),Y_6),multiply(divide(Y_1649,U_1650),Y_6)) = Z_1580 ),
inference(superposition,[status(thm),theory(equality)],[c_344094,c_340182]) ).
tff(c_458819,plain,
! [X_2069,U_2067,Y_2070,U_2068,Z_2066] : ( divide(divide(inverse(divide(divide(divide(X_2069,X_2069),U_2067),divide(Y_2070,U_2067))),U_2068),divide(Z_2066,U_2068)) = divide(Y_2070,Z_2066) ),
inference(superposition,[status(thm),theory(equality)],[c_344094,c_339798]) ).
tff(c_340007,plain,
! [Z_1574,Y_1579,X_1578,U_1576,Z_1580] : ( divide(divide(inverse(divide(Z_1580,Z_1574)),U_1576),divide(divide(Y_1579,inverse(divide(divide(divide(X_1578,X_1578),Y_1579),Z_1580))),U_1576)) = Z_1574 ),
inference(superposition,[status(thm),theory(equality)],[c_340003,c_339798]) ).
tff(c_340155,plain,
! [Z_1574,Y_1579,X_1578,U_1576,Z_1580] : ( divide(divide(inverse(divide(Z_1580,Z_1574)),U_1576),divide(multiply(Y_1579,divide(divide(divide(X_1578,X_1578),Y_1579),Z_1580)),U_1576)) = Z_1574 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_340007]) ).
tff(c_461072,plain,
! [X_2072,Y_2071,X_2074,U_2075,Y_2073] : ( divide(Y_2073,multiply(Y_2071,divide(divide(divide(X_2072,X_2072),Y_2071),divide(divide(X_2074,X_2074),U_2075)))) = divide(Y_2073,U_2075) ),
inference(superposition,[status(thm),theory(equality)],[c_458819,c_340155]) ).
tff(c_461152,plain,
! [X_2072,Y_2071,X_2074,Y_6,U_1650,U_2075,Y_1649,Z_1648] : ( multiply(Y_2071,divide(divide(divide(X_2072,X_2072),Y_2071),divide(divide(X_2074,X_2074),U_2075))) = divide(multiply(inverse(divide(divide(divide(U_1650,Z_1648),divide(Y_1649,Z_1648)),U_2075)),Y_6),multiply(divide(Y_1649,U_1650),Y_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_461072,c_344344]) ).
tff(c_463793,plain,
! [Y_2076,X_2077,X_2078,U_2079] : ( multiply(Y_2076,divide(divide(divide(X_2077,X_2077),Y_2076),divide(divide(X_2078,X_2078),U_2079))) = U_2079 ),
inference(demodulation,[status(thm),theory(equality)],[c_344344,c_461152]) ).
tff(c_464987,plain,
! [Y_6,X_2077,X_2078,U_2079] : ( multiply(inverse(Y_6),divide(multiply(divide(X_2077,X_2077),Y_6),divide(divide(X_2078,X_2078),U_2079))) = U_2079 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_463793]) ).
tff(c_469477,plain,
! [Y_2090,X_2091,X_2092,U_2093] : ( multiply(inverse(Y_2090),divide(multiply(divide(X_2091,X_2091),Y_2090),divide(divide(X_2092,X_2092),U_2093))) = U_2093 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_463793]) ).
tff(c_343247,plain,
! [Z_1643,Y_1644,Y_1645,Z_1646] : ( divide(multiply(Z_1643,Y_1644),multiply(Y_1645,Y_1644)) = divide(divide(Z_1643,Z_1646),divide(Y_1645,Z_1646)) ),
inference(superposition,[status(thm),theory(equality)],[c_342875,c_340182]) ).
tff(c_344006,plain,
! [X_5,Y_6,Y_1645,Y_1644] : ( divide(multiply(X_5,Y_6),divide(Y_1645,inverse(Y_6))) = divide(multiply(X_5,Y_1644),multiply(Y_1645,Y_1644)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_343247]) ).
tff(c_344092,plain,
! [X_5,Y_6,Y_1645,Y_1644] : ( divide(multiply(X_5,Y_6),multiply(Y_1645,Y_6)) = divide(multiply(X_5,Y_1644),multiply(Y_1645,Y_1644)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_344006]) ).
tff(c_343202,plain,
! [X_1639,Y_1640,X_5,Y_6] : ( inverse(divide(divide(divide(X_1639,X_1639),Y_1640),divide(multiply(X_5,Y_6),divide(Y_1640,inverse(Y_6))))) = X_5 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_342875]) ).
tff(c_346693,plain,
! [X_1663,Y_1664,X_1665,Y_1666] : ( inverse(divide(divide(divide(X_1663,X_1663),Y_1664),divide(multiply(X_1665,Y_1666),multiply(Y_1664,Y_1666)))) = X_1665 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_343202]) ).
tff(c_356470,plain,
! [X_1732,Y_1733] : ( inverse(divide(divide(divide(X_1732,X_1732),Y_1733),divide(multiply(inverse(a1),a1),multiply(Y_1733,b1)))) = inverse(b1) ),
inference(superposition,[status(thm),theory(equality)],[c_97045,c_346693]) ).
tff(c_356758,plain,
! [X_1732] : ( inverse(divide(divide(divide(X_1732,X_1732),inverse(b1)),divide(multiply(inverse(a1),a1),multiply(inverse(a1),a1)))) = inverse(b1) ),
inference(superposition,[status(thm),theory(equality)],[c_97045,c_356470]) ).
tff(c_375554,plain,
! [X_1838] : ( inverse(divide(multiply(divide(X_1838,X_1838),b1),divide(multiply(inverse(a1),a1),multiply(inverse(a1),a1)))) = inverse(b1) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_356758]) ).
tff(c_413163,plain,
! [X_1935,Y_1936] : ( inverse(divide(multiply(divide(X_1935,X_1935),b1),divide(multiply(inverse(a1),Y_1936),multiply(inverse(a1),Y_1936)))) = inverse(b1) ),
inference(superposition,[status(thm),theory(equality)],[c_344092,c_375554]) ).
tff(c_340184,plain,
! [X_1582,Y_1583,Z_1584,Y_1585] : ( divide(multiply(inverse(divide(divide(divide(X_1582,X_1582),Y_1583),Z_1584)),Y_1585),multiply(Y_1583,Y_1585)) = Z_1584 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_340151]) ).
tff(c_340306,plain,
! [X_1582,Y_6,Z_1584,Y_1585] : ( divide(multiply(inverse(divide(multiply(divide(X_1582,X_1582),Y_6),Z_1584)),Y_1585),multiply(inverse(Y_6),Y_1585)) = Z_1584 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_340184]) ).
tff(c_413345,plain,
! [Y_1585,Y_1936] : ( divide(multiply(inverse(b1),Y_1585),multiply(inverse(b1),Y_1585)) = divide(multiply(inverse(a1),Y_1936),multiply(inverse(a1),Y_1936)) ),
inference(superposition,[status(thm),theory(equality)],[c_413163,c_340306]) ).
tff(c_469533,plain,
! [Y_1936,U_2093,X_2091,X_2092] : ( divide(multiply(inverse(a1),Y_1936),multiply(inverse(a1),Y_1936)) = divide(U_2093,multiply(inverse(b1),divide(multiply(divide(X_2091,X_2091),b1),divide(divide(X_2092,X_2092),U_2093)))) ),
inference(superposition,[status(thm),theory(equality)],[c_469477,c_413345]) ).
tff(c_470583,plain,
! [Y_2094,U_2095] : ( divide(multiply(inverse(a1),Y_2094),multiply(inverse(a1),Y_2094)) = divide(U_2095,U_2095) ),
inference(demodulation,[status(thm),theory(equality)],[c_464987,c_469533]) ).
tff(c_470456,plain,
! [Y_1936,U_2093] : ( divide(multiply(inverse(a1),Y_1936),multiply(inverse(a1),Y_1936)) = divide(U_2093,U_2093) ),
inference(demodulation,[status(thm),theory(equality)],[c_464987,c_469533]) ).
tff(c_473428,plain,
! [U_2097,U_2096] : ( divide(U_2097,U_2097) = divide(U_2096,U_2096) ),
inference(superposition,[status(thm),theory(equality)],[c_470583,c_470456]) ).
tff(c_463483,plain,
! [Y_2071,X_2072,X_2074,U_2075] : ( multiply(Y_2071,divide(divide(divide(X_2072,X_2072),Y_2071),divide(divide(X_2074,X_2074),U_2075))) = U_2075 ),
inference(demodulation,[status(thm),theory(equality)],[c_344344,c_461152]) ).
tff(c_473556,plain,
! [Y_2071,U_2096] : ( multiply(Y_2071,divide(U_2096,U_2096)) = Y_2071 ),
inference(superposition,[status(thm),theory(equality)],[c_473428,c_463483]) ).
tff(c_481777,plain,
! [Y_2106,U_2107] : ( multiply(inverse(Y_2106),Y_2106) = divide(U_2107,U_2107) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_473428]) ).
tff(c_486034,plain,
! [U_2111,U_2112] : ( inverse(divide(U_2111,U_2111)) = divide(U_2112,U_2112) ),
inference(superposition,[status(thm),theory(equality)],[c_473556,c_481777]) ).
tff(c_488152,plain,
! [X_5,U_2111,U_2112] : ( multiply(X_5,divide(U_2111,U_2111)) = divide(X_5,divide(U_2112,U_2112)) ),
inference(superposition,[status(thm),theory(equality)],[c_486034,c_4]) ).
tff(c_488731,plain,
! [X_5,U_2112] : ( divide(X_5,divide(U_2112,U_2112)) = X_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_473556,c_488152]) ).
tff(c_48,plain,
! [X_9,Y_6,Z_11,U_12] : ( divide(inverse(divide(multiply(divide(X_9,X_9),Y_6),divide(Z_11,divide(inverse(Y_6),U_12)))),U_12) = Z_11 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_470589,plain,
! [U_2095,U_2093] : ( divide(U_2095,U_2095) = divide(U_2093,U_2093) ),
inference(superposition,[status(thm),theory(equality)],[c_470583,c_470456]) ).
tff(c_338617,plain,
! [Y_1528,Y_1529,Z_1530,U_1531] : ( divide(inverse(divide(divide(multiply(inverse(Y_1528),Y_1528),Y_1529),divide(Z_1530,divide(Y_1529,U_1531)))),U_1531) = Z_1530 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_499705,plain,
! [U_2133,Y_2134,Y_2132,X_2130,Z_2129,Y_2131] : ( inverse(divide(divide(multiply(inverse(Y_2131),Y_2131),Y_2134),divide(Z_2129,divide(Y_2134,divide(inverse(Y_2132),U_2133))))) = divide(inverse(divide(multiply(divide(X_2130,X_2130),Y_2132),Z_2129)),U_2133) ),
inference(superposition,[status(thm),theory(equality)],[c_338617,c_48]) ).
tff(c_501380,plain,
! [U_2133,Y_2134,U_2093,Y_2132,X_2130,Y_2131] : ( inverse(divide(divide(multiply(inverse(Y_2131),Y_2131),Y_2134),divide(U_2093,U_2093))) = divide(inverse(divide(multiply(divide(X_2130,X_2130),Y_2132),divide(Y_2134,divide(inverse(Y_2132),U_2133)))),U_2133) ),
inference(superposition,[status(thm),theory(equality)],[c_470589,c_499705]) ).
tff(c_502963,plain,
! [Y_2131,Y_2134] : ( inverse(divide(multiply(inverse(Y_2131),Y_2131),Y_2134)) = Y_2134 ),
inference(demodulation,[status(thm),theory(equality)],[c_488731,c_48,c_501380]) ).
tff(c_464983,plain,
! [Y_2076,Y_6,X_2078,U_2079] : ( multiply(Y_2076,divide(divide(multiply(inverse(Y_6),Y_6),Y_2076),divide(divide(X_2078,X_2078),U_2079))) = U_2079 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_463793]) ).
tff(c_338550,plain,
! [X_1524,Y_1525,Z_1526,U_1527] : ( divide(inverse(divide(multiply(divide(X_1524,X_1524),Y_1525),divide(Z_1526,divide(inverse(Y_1525),U_1527)))),U_1527) = Z_1526 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_493977,plain,
! [Y_2123,Y_2124,Z_2121,X_2120,X_2125,X_2122] : ( inverse(divide(multiply(divide(X_2122,X_2122),Y_2124),divide(Z_2121,divide(inverse(Y_2124),multiply(X_2125,Y_2123))))) = divide(inverse(divide(divide(divide(X_2120,X_2120),X_2125),Z_2121)),inverse(Y_2123)) ),
inference(superposition,[status(thm),theory(equality)],[c_338550,c_51]) ).
tff(c_495303,plain,
! [Y_2123,Y_2124,X_2120,U_2093,X_2125,X_2122] : ( inverse(divide(multiply(divide(X_2122,X_2122),Y_2124),divide(U_2093,U_2093))) = divide(inverse(divide(divide(divide(X_2120,X_2120),X_2125),divide(inverse(Y_2124),multiply(X_2125,Y_2123)))),inverse(Y_2123)) ),
inference(superposition,[status(thm),theory(equality)],[c_470589,c_493977]) ).
tff(c_517565,plain,
! [X_2157,Y_2158] : ( inverse(multiply(divide(X_2157,X_2157),Y_2158)) = inverse(Y_2158) ),
inference(demodulation,[status(thm),theory(equality)],[c_488731,c_51,c_495303]) ).
tff(c_517988,plain,
! [Y_6,X_2157,X_2078,U_2079] : ( inverse(divide(divide(multiply(inverse(Y_6),Y_6),divide(X_2157,X_2157)),divide(divide(X_2078,X_2078),U_2079))) = inverse(U_2079) ),
inference(superposition,[status(thm),theory(equality)],[c_464983,c_517565]) ).
tff(c_518232,plain,
! [X_2078,U_2079] : ( divide(divide(X_2078,X_2078),U_2079) = inverse(U_2079) ),
inference(demodulation,[status(thm),theory(equality)],[c_502963,c_488731,c_517988]) ).
tff(c_37,plain,
! [Z_3,X_1,Y_10,U_12,X_9,Y_2] : ( inverse(divide(divide(divide(X_1,X_1),Y_2),divide(Z_3,divide(Y_2,divide(Y_10,U_12))))) = divide(inverse(divide(divide(divide(X_9,X_9),Y_10),Z_3)),U_12) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16]) ).
tff(c_487944,plain,
! [U_2111,X_1,Y_10,U_12,X_9,Y_2] : ( inverse(divide(divide(divide(X_1,X_1),Y_2),inverse(divide(U_2111,U_2111)))) = divide(inverse(divide(divide(divide(X_9,X_9),Y_10),divide(Y_2,divide(Y_10,U_12)))),U_12) ),
inference(superposition,[status(thm),theory(equality)],[c_486034,c_37]) ).
tff(c_488690,plain,
! [X_1,Y_2] : ( inverse(divide(divide(X_1,X_1),Y_2)) = Y_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_473556,c_4,c_2,c_487944]) ).
tff(c_518274,plain,
! [Y_2] : ( inverse(inverse(Y_2)) = Y_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_518232,c_488690]) ).
tff(c_496831,plain,
! [X_2122,Y_2124] : ( inverse(multiply(divide(X_2122,X_2122),Y_2124)) = inverse(Y_2124) ),
inference(demodulation,[status(thm),theory(equality)],[c_488731,c_51,c_495303]) ).
tff(c_519272,plain,
! [Y_2161] : ( inverse(inverse(Y_2161)) = Y_2161 ),
inference(demodulation,[status(thm),theory(equality)],[c_518232,c_488690]) ).
tff(c_519527,plain,
! [X_2122,Y_2124] : ( multiply(divide(X_2122,X_2122),Y_2124) = inverse(inverse(Y_2124)) ),
inference(superposition,[status(thm),theory(equality)],[c_496831,c_519272]) ).
tff(c_519631,plain,
! [X_2122,Y_2124] : ( multiply(divide(X_2122,X_2122),Y_2124) = Y_2124 ),
inference(demodulation,[status(thm),theory(equality)],[c_518274,c_519527]) ).
tff(c_338538,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(splitRight,[status(thm)],[c_97044]) ).
tff(c_483894,plain,
! [U_2107] : ( multiply(divide(U_2107,U_2107),a2) != a2 ),
inference(superposition,[status(thm),theory(equality)],[c_481777,c_338538]) ).
tff(c_521451,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_519631,c_483894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : n004.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 22:10:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 188.72/118.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 188.72/118.55
% 188.72/118.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 189.16/118.61
% 189.16/118.61 Inference rules
% 189.16/118.61 ----------------------
% 189.16/118.61 #Ref : 0
% 189.16/118.61 #Sup : 133965
% 189.16/118.61 #Fact : 0
% 189.16/118.61 #Define : 0
% 189.16/118.61 #Split : 2
% 189.16/118.61 #Chain : 0
% 189.16/118.61 #Close : 0
% 189.16/118.61
% 189.16/118.61 Ordering : KBO
% 189.16/118.61
% 189.16/118.61 Simplification rules
% 189.16/118.61 ----------------------
% 189.16/118.61 #Subsume : 11342
% 189.16/118.61 #Demod : 91053
% 189.16/118.61 #Tautology : 16173
% 189.16/118.61 #SimpNegUnit : 1
% 189.16/118.61 #BackRed : 256
% 189.16/118.61
% 189.16/118.61 #Partial instantiations: 0
% 189.16/118.61 #Strategies tried : 1
% 189.16/118.61
% 189.16/118.61 Timing (in seconds)
% 189.16/118.61 ----------------------
% 189.16/118.61 Preprocessing : 0.45
% 189.16/118.61 Parsing : 0.23
% 189.16/118.61 CNF conversion : 0.02
% 189.16/118.61 Main loop : 117.03
% 189.16/118.61 Inferencing : 18.42
% 189.16/118.61 Reduction : 76.70
% 189.16/118.61 Demodulation : 73.08
% 189.16/118.61 BG Simplification : 3.34
% 189.16/118.61 Subsumption : 11.51
% 189.16/118.61 Abstraction : 6.16
% 189.16/118.61 MUC search : 0.00
% 189.16/118.61 Cooper : 0.00
% 189.16/118.61 Total : 117.58
% 189.16/118.61 Index Insertion : 0.00
% 189.16/118.61 Index Deletion : 0.00
% 189.16/118.61 Index Matching : 0.00
% 189.16/118.61 BG Taut test : 0.00
%------------------------------------------------------------------------------