TSTP Solution File: GRP440-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP440-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:41:15 EDT 2023

% Result   : Unsatisfiable 78.00s 29.30s
% Output   : CNFRefutation 78.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   74 (  70 unt;   4 typ;   0 def)
%            Number of atoms       :   70 (  69 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :   14 (   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  238 (; 238   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > b2 > a2

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(b2,type,
    b2: $i ).

tff(inverse,type,
    inverse: $i > $i ).

tff(multiply,type,
    multiply: ( $i * $i ) > $i ).

tff(a2,type,
    a2: $i ).

tff(f_23,axiom,
    ! [A,B,C,D] : ( inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file(unknown,unknown) ).

tff(c_5,plain,
    ! [A_5,B_6,C_7,D_8] : ( inverse(multiply(A_5,multiply(B_6,multiply(multiply(inverse(B_6),C_7),inverse(multiply(D_8,multiply(A_5,C_7))))))) = D_8 ),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_2,plain,
    ! [A_1,B_2,C_3,D_4] : ( inverse(multiply(A_1,multiply(B_2,multiply(multiply(inverse(B_2),C_3),inverse(multiply(D_4,multiply(A_1,C_3))))))) = D_4 ),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_141,plain,
    ! [A_24,C_23,B_21,D_20,A_26,D_22,C_25] : ( inverse(multiply(A_26,multiply(multiply(A_24,multiply(B_21,multiply(multiply(inverse(B_21),C_23),inverse(multiply(D_20,multiply(A_24,C_23)))))),multiply(multiply(D_20,C_25),inverse(multiply(D_22,multiply(A_26,C_25))))))) = D_22 ),
    inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).

tff(c_11,plain,
    ! [B_6,C_7,D_8,B_2,A_5] : ( inverse(multiply(B_6,multiply(B_2,multiply(multiply(inverse(B_2),multiply(multiply(inverse(B_6),C_7),inverse(multiply(D_8,multiply(A_5,C_7))))),D_8)))) = A_5 ),
    inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).

tff(c_1736,plain,
    ! [A_85,D_92,A_88,C_84,C_86,B_89,B_91,D_87,B_90] : ( multiply(A_88,multiply(B_90,multiply(multiply(inverse(B_90),C_86),inverse(multiply(D_87,multiply(A_88,C_86)))))) = inverse(multiply(B_89,multiply(B_91,multiply(multiply(inverse(B_91),multiply(multiply(inverse(B_89),multiply(multiply(D_87,C_84),inverse(multiply(D_92,multiply(A_85,C_84))))),D_92)),A_85)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_141,c_11]) ).

tff(c_26,plain,
    ! [D_9,C_11,B_10,A_12,B_13] : ( inverse(multiply(B_10,multiply(B_13,multiply(multiply(inverse(B_13),multiply(multiply(inverse(B_10),C_11),inverse(multiply(D_9,multiply(A_12,C_11))))),D_9)))) = A_12 ),
    inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).

tff(c_44,plain,
    ! [D_9,C_11,B_2,B_10,A_12,B_13] : ( inverse(multiply(B_13,multiply(B_2,multiply(multiply(inverse(B_2),multiply(multiply(inverse(B_13),multiply(multiply(inverse(B_10),C_11),inverse(multiply(D_9,multiply(A_12,C_11))))),D_9)),A_12)))) = B_10 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_2]) ).

tff(c_2048,plain,
    ! [A_88,B_90,C_86,B_10] : ( multiply(A_88,multiply(B_90,multiply(multiply(inverse(B_90),C_86),inverse(multiply(inverse(B_10),multiply(A_88,C_86)))))) = B_10 ),
    inference(superposition,[status(thm),theory(equality)],[c_1736,c_44]) ).

tff(c_2694,plain,
    ! [A_102,B_103,C_104,B_105] : ( multiply(A_102,multiply(B_103,multiply(multiply(inverse(B_103),C_104),inverse(multiply(inverse(B_105),multiply(A_102,C_104)))))) = B_105 ),
    inference(superposition,[status(thm),theory(equality)],[c_1736,c_44]) ).

tff(c_4320,plain,
    ! [B_126,B_125,A_128,B_124,C_123,B_127] : ( multiply(A_128,multiply(B_127,multiply(multiply(inverse(B_127),multiply(B_124,multiply(multiply(inverse(B_124),C_123),inverse(multiply(inverse(B_126),multiply(A_128,C_123)))))),inverse(multiply(inverse(B_125),B_126))))) = B_125 ),
    inference(superposition,[status(thm),theory(equality)],[c_2048,c_2694]) ).

tff(c_4660,plain,
    ! [B_127,B_10,B_125] : ( multiply(inverse(B_127),multiply(B_127,multiply(B_10,inverse(multiply(inverse(B_125),B_10))))) = B_125 ),
    inference(superposition,[status(thm),theory(equality)],[c_2048,c_4320]) ).

tff(c_4942,plain,
    ! [B_129,B_130,B_131] : ( multiply(inverse(B_129),multiply(B_129,multiply(B_130,inverse(multiply(inverse(B_131),B_130))))) = B_131 ),
    inference(superposition,[status(thm),theory(equality)],[c_2048,c_4320]) ).

tff(c_7706,plain,
    ! [B_155,D_156,B_153,A_157,B_154] : ( inverse(multiply(A_157,multiply(B_155,multiply(B_154,inverse(multiply(D_156,multiply(A_157,multiply(B_155,multiply(B_153,inverse(multiply(inverse(B_154),B_153))))))))))) = D_156 ),
    inference(superposition,[status(thm),theory(equality)],[c_4942,c_2]) ).

tff(c_8026,plain,
    ! [B_127,B_125,D_156] : ( inverse(multiply(inverse(B_127),multiply(B_127,multiply(B_125,inverse(multiply(D_156,B_125)))))) = D_156 ),
    inference(superposition,[status(thm),theory(equality)],[c_4660,c_7706]) ).

tff(c_8195,plain,
    ! [B_158,B_159,D_160] : ( inverse(multiply(inverse(B_158),multiply(B_158,multiply(B_159,inverse(multiply(D_160,B_159)))))) = D_160 ),
    inference(superposition,[status(thm),theory(equality)],[c_4660,c_7706]) ).

tff(c_8313,plain,
    ! [B_158,B_90,B_159,D_160] : ( multiply(B_158,multiply(B_90,multiply(multiply(inverse(B_90),multiply(B_159,inverse(multiply(D_160,B_159)))),D_160))) = B_158 ),
    inference(superposition,[status(thm),theory(equality)],[c_8195,c_2048]) ).

tff(c_10607,plain,
    ! [B_180,B_181,B_182,D_183] : ( multiply(B_180,multiply(B_181,multiply(multiply(inverse(B_181),multiply(B_182,inverse(multiply(D_183,B_182)))),D_183))) = B_180 ),
    inference(superposition,[status(thm),theory(equality)],[c_8195,c_2048]) ).

tff(c_10800,plain,
    ! [D_183,A_88,B_10,B_182,B_90,B_181] : ( multiply(A_88,multiply(B_90,multiply(inverse(B_90),inverse(multiply(inverse(B_10),multiply(A_88,multiply(B_181,multiply(multiply(inverse(B_181),multiply(B_182,inverse(multiply(D_183,B_182)))),D_183)))))))) = B_10 ),
    inference(superposition,[status(thm),theory(equality)],[c_10607,c_2048]) ).

tff(c_11343,plain,
    ! [A_184,B_185,B_186] : ( multiply(A_184,multiply(B_185,multiply(inverse(B_185),inverse(multiply(inverse(B_186),A_184))))) = B_186 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_10800]) ).

tff(c_14716,plain,
    ! [B_209,B_210,D_211,B_212] : ( multiply(multiply(B_209,multiply(B_210,inverse(multiply(D_211,B_210)))),multiply(B_212,multiply(inverse(B_212),D_211))) = B_209 ),
    inference(superposition,[status(thm),theory(equality)],[c_8026,c_11343]) ).

tff(c_34091,plain,
    ! [B_334,B_333,B_332,D_336,B_335] : ( multiply(B_334,multiply(B_332,inverse(multiply(D_336,B_332)))) = inverse(multiply(B_335,multiply(B_333,multiply(multiply(inverse(B_333),multiply(inverse(B_335),D_336)),inverse(B_334))))) ),
    inference(superposition,[status(thm),theory(equality)],[c_14716,c_2]) ).

tff(c_15213,plain,
    ! [C_215,A_216,B_214,B_217,D_213] : ( inverse(multiply(inverse(B_217),multiply(B_217,multiply(multiply(B_214,multiply(multiply(inverse(B_214),C_215),inverse(multiply(D_213,multiply(A_216,C_215))))),D_213)))) = A_216 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_8195]) ).

tff(c_15639,plain,
    ! [B_159,D_160,B_214,B_217,B_90,D_213,B_158] : ( inverse(multiply(inverse(B_217),multiply(B_217,multiply(multiply(B_214,multiply(multiply(inverse(B_214),multiply(B_90,multiply(multiply(inverse(B_90),multiply(B_159,inverse(multiply(D_160,B_159)))),D_160))),inverse(multiply(D_213,B_158)))),D_213)))) = B_158 ),
    inference(superposition,[status(thm),theory(equality)],[c_8313,c_15213]) ).

tff(c_15919,plain,
    ! [B_217,B_214,D_213,B_158] : ( inverse(multiply(inverse(B_217),multiply(B_217,multiply(multiply(B_214,multiply(inverse(B_214),inverse(multiply(D_213,B_158)))),D_213)))) = B_158 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_15639]) ).

tff(c_36500,plain,
    ! [B_337,B_338,B_339] : ( multiply(B_337,multiply(B_338,inverse(multiply(inverse(multiply(inverse(B_337),B_339)),B_338)))) = B_339 ),
    inference(superposition,[status(thm),theory(equality)],[c_34091,c_15919]) ).

tff(c_3086,plain,
    ! [B_103,B_2,C_3,D_4,B_105] : ( multiply(B_2,multiply(B_103,multiply(multiply(inverse(B_103),multiply(multiply(inverse(B_2),C_3),inverse(multiply(D_4,multiply(inverse(B_105),C_3))))),D_4))) = B_105 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_2694]) ).

tff(c_10784,plain,
    ! [D_183,B_103,B_2,D_4,B_105,B_182,B_181] : ( multiply(B_2,multiply(B_103,multiply(multiply(inverse(B_103),multiply(multiply(inverse(B_2),multiply(B_181,multiply(multiply(inverse(B_181),multiply(B_182,inverse(multiply(D_183,B_182)))),D_183))),inverse(multiply(D_4,inverse(B_105))))),D_4))) = B_105 ),
    inference(superposition,[status(thm),theory(equality)],[c_10607,c_3086]) ).

tff(c_11288,plain,
    ! [B_2,B_103,D_4,B_105] : ( multiply(B_2,multiply(B_103,multiply(multiply(inverse(B_103),multiply(inverse(B_2),inverse(multiply(D_4,inverse(B_105))))),D_4))) = B_105 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_10784]) ).

tff(c_36666,plain,
    ! [B_2,B_103,B_339] : ( multiply(B_2,multiply(B_103,multiply(B_339,inverse(multiply(inverse(inverse(B_103)),B_339))))) = B_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_36500,c_11288]) ).

tff(c_39503,plain,
    ! [D_343,A_344,D_345,B_346] : ( multiply(multiply(D_343,multiply(A_344,multiply(inverse(A_344),D_345))),multiply(B_346,inverse(multiply(D_345,B_346)))) = D_343 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_34091]) ).

tff(c_11106,plain,
    ! [D_183,B_2,A_1,D_4,B_182,B_181] : ( inverse(multiply(A_1,multiply(B_2,multiply(inverse(B_2),inverse(multiply(D_4,multiply(A_1,multiply(B_181,multiply(multiply(inverse(B_181),multiply(B_182,inverse(multiply(D_183,B_182)))),D_183))))))))) = D_4 ),
    inference(superposition,[status(thm),theory(equality)],[c_10607,c_2]) ).

tff(c_11336,plain,
    ! [A_1,B_2,D_4] : ( inverse(multiply(A_1,multiply(B_2,multiply(inverse(B_2),inverse(multiply(D_4,A_1)))))) = D_4 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_11106]) ).

tff(c_40552,plain,
    ! [D_347,A_348,D_349] : ( inverse(multiply(inverse(multiply(D_347,multiply(A_348,multiply(inverse(A_348),D_349)))),D_347)) = D_349 ),
    inference(superposition,[status(thm),theory(equality)],[c_39503,c_11336]) ).

tff(c_47078,plain,
    ! [B_364,B_365] : ( inverse(multiply(inverse(inverse(B_364)),inverse(B_364))) = inverse(multiply(inverse(B_365),B_365)) ),
    inference(superposition,[status(thm),theory(equality)],[c_36666,c_40552]) ).

tff(c_47189,plain,
    ! [B_2,B_364,B_365] : ( multiply(B_2,multiply(B_364,multiply(inverse(B_364),inverse(multiply(inverse(B_365),B_365))))) = B_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_47078,c_36666]) ).

tff(c_58126,plain,
    ! [D_390,A_391,B_392] : ( multiply(inverse(multiply(D_390,multiply(A_391,multiply(inverse(A_391),inverse(B_392))))),D_390) = B_392 ),
    inference(superposition,[status(thm),theory(equality)],[c_39503,c_4660]) ).

tff(c_59594,plain,
    ! [B_393,B_394] : ( multiply(inverse(inverse(B_393)),inverse(B_393)) = multiply(inverse(B_394),B_394) ),
    inference(superposition,[status(thm),theory(equality)],[c_36666,c_58126]) ).

tff(c_59289,plain,
    ! [B_103,B_2] : ( multiply(inverse(inverse(B_103)),inverse(B_103)) = multiply(inverse(B_2),B_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_36666,c_58126]) ).

tff(c_61731,plain,
    ! [B_396,B_395] : ( multiply(inverse(B_396),B_396) = multiply(inverse(B_395),B_395) ),
    inference(superposition,[status(thm),theory(equality)],[c_59594,c_59289]) ).

tff(c_34290,plain,
    ! [B_334,B_332,B_158] : ( multiply(B_334,multiply(B_332,inverse(multiply(inverse(multiply(inverse(B_334),B_158)),B_332)))) = B_158 ),
    inference(superposition,[status(thm),theory(equality)],[c_34091,c_15919]) ).

tff(c_40581,plain,
    ! [B_334,D_349,A_348] : ( multiply(B_334,multiply(inverse(B_334),D_349)) = multiply(A_348,multiply(inverse(A_348),D_349)) ),
    inference(superposition,[status(thm),theory(equality)],[c_40552,c_34290]) ).

tff(c_73732,plain,
    ! [B_436,B_434,B_435] : ( multiply(B_436,multiply(inverse(B_436),B_434)) = multiply(B_434,multiply(inverse(B_435),B_435)) ),
    inference(superposition,[status(thm),theory(equality)],[c_61731,c_40581]) ).

tff(c_88075,plain,
    ! [B_467,B_468,B_469,B_470] : ( inverse(multiply(inverse(B_467),multiply(B_468,multiply(multiply(inverse(B_468),B_469),inverse(multiply(B_469,multiply(inverse(B_470),B_470))))))) = B_467 ),
    inference(superposition,[status(thm),theory(equality)],[c_73732,c_2]) ).

tff(c_41245,plain,
    ! [B_103,B_2] : ( inverse(multiply(inverse(inverse(B_103)),inverse(B_103))) = inverse(multiply(inverse(B_2),B_2)) ),
    inference(superposition,[status(thm),theory(equality)],[c_36666,c_40552]) ).

tff(c_48700,plain,
    ! [B_367,B_366] : ( inverse(multiply(inverse(B_367),B_367)) = inverse(multiply(inverse(B_366),B_366)) ),
    inference(superposition,[status(thm),theory(equality)],[c_47078,c_41245]) ).

tff(c_50114,plain,
    ! [A_1,B_2,C_3,B_366] : ( inverse(multiply(A_1,multiply(B_2,multiply(multiply(inverse(B_2),C_3),inverse(multiply(inverse(B_366),B_366)))))) = inverse(multiply(A_1,C_3)) ),
    inference(superposition,[status(thm),theory(equality)],[c_48700,c_2]) ).

tff(c_89826,plain,
    ! [B_471,B_472] : ( inverse(multiply(inverse(B_471),inverse(multiply(inverse(B_472),B_472)))) = B_471 ),
    inference(superposition,[status(thm),theory(equality)],[c_88075,c_50114]) ).

tff(c_59600,plain,
    ! [B_394,B_2] : ( multiply(inverse(B_394),B_394) = multiply(inverse(B_2),B_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_59594,c_59289]) ).

tff(c_76171,plain,
    ! [B_394,B_435,B_2] : ( multiply(B_394,multiply(inverse(B_435),B_435)) = multiply(B_394,multiply(inverse(B_2),B_2)) ),
    inference(superposition,[status(thm),theory(equality)],[c_59600,c_73732]) ).

tff(c_89873,plain,
    ! [B_394,B_2,B_471,B_472] : ( multiply(B_394,multiply(inverse(B_2),B_2)) = multiply(B_394,multiply(B_471,multiply(inverse(B_471),inverse(multiply(inverse(B_472),B_472))))) ),
    inference(superposition,[status(thm),theory(equality)],[c_89826,c_76171]) ).

tff(c_90901,plain,
    ! [B_394,B_2] : ( multiply(B_394,multiply(inverse(B_2),B_2)) = B_394 ),
    inference(demodulation,[status(thm),theory(equality)],[c_47189,c_89873]) ).

tff(c_61931,plain,
    ! [B_396,B_395,B_334] : ( multiply(B_396,multiply(inverse(B_395),B_395)) = multiply(B_334,multiply(inverse(B_334),B_396)) ),
    inference(superposition,[status(thm),theory(equality)],[c_61731,c_40581]) ).

tff(c_89897,plain,
    ! [B_396,B_471,B_472,B_334] : ( multiply(B_396,multiply(B_471,multiply(inverse(B_471),inverse(multiply(inverse(B_472),B_472))))) = multiply(B_334,multiply(inverse(B_334),B_396)) ),
    inference(superposition,[status(thm),theory(equality)],[c_89826,c_61931]) ).

tff(c_92548,plain,
    ! [B_475,B_476] : ( multiply(B_475,multiply(inverse(B_475),B_476)) = B_476 ),
    inference(demodulation,[status(thm),theory(equality)],[c_47189,c_89897]) ).

tff(c_96858,plain,
    ! [B_487,B_488,B_489] : ( inverse(multiply(inverse(B_487),multiply(B_488,multiply(multiply(inverse(B_488),B_489),inverse(B_489))))) = B_487 ),
    inference(superposition,[status(thm),theory(equality)],[c_92548,c_2]) ).

tff(c_97026,plain,
    ! [B_487,B_366] : ( inverse(multiply(inverse(B_487),multiply(inverse(B_366),B_366))) = B_487 ),
    inference(superposition,[status(thm),theory(equality)],[c_96858,c_50114]) ).

tff(c_98123,plain,
    ! [B_487] : ( inverse(inverse(B_487)) = B_487 ),
    inference(demodulation,[status(thm),theory(equality)],[c_90901,c_97026]) ).

tff(c_90904,plain,
    ! [B_334,B_396] : ( multiply(B_334,multiply(inverse(B_334),B_396)) = B_396 ),
    inference(demodulation,[status(thm),theory(equality)],[c_47189,c_89897]) ).

tff(c_98142,plain,
    ! [B_490] : ( inverse(inverse(B_490)) = B_490 ),
    inference(demodulation,[status(thm),theory(equality)],[c_90901,c_97026]) ).

tff(c_100338,plain,
    ! [B_493,B_494] : ( multiply(B_493,multiply(B_494,inverse(B_494))) = B_493 ),
    inference(superposition,[status(thm),theory(equality)],[c_98142,c_90901]) ).

tff(c_12636,plain,
    ! [A_191,B_192,D_193] : ( inverse(multiply(A_191,multiply(B_192,multiply(inverse(B_192),inverse(multiply(D_193,A_191)))))) = D_193 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_11106]) ).

tff(c_12979,plain,
    ! [B_192,B_2,D_193,A_191] : ( inverse(multiply(B_192,multiply(B_2,multiply(multiply(inverse(B_2),multiply(inverse(B_192),inverse(multiply(D_193,A_191)))),D_193)))) = A_191 ),
    inference(superposition,[status(thm),theory(equality)],[c_12636,c_2]) ).

tff(c_100868,plain,
    ! [B_192,B_2,B_494,A_191] : ( inverse(multiply(B_192,multiply(B_2,multiply(inverse(B_2),multiply(inverse(B_192),inverse(multiply(multiply(B_494,inverse(B_494)),A_191))))))) = A_191 ),
    inference(superposition,[status(thm),theory(equality)],[c_100338,c_12979]) ).

tff(c_101588,plain,
    ! [B_494,A_191] : ( multiply(multiply(B_494,inverse(B_494)),A_191) = A_191 ),
    inference(demodulation,[status(thm),theory(equality)],[c_98123,c_90904,c_90904,c_100868]) ).

tff(c_4,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_63849,plain,
    ! [B_396] : ( multiply(multiply(inverse(B_396),B_396),a2) != a2 ),
    inference(superposition,[status(thm),theory(equality)],[c_61731,c_4]) ).

tff(c_98247,plain,
    ! [B_490] : ( multiply(multiply(B_490,inverse(B_490)),a2) != a2 ),
    inference(superposition,[status(thm),theory(equality)],[c_98142,c_63849]) ).

tff(c_101823,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_101588,c_98247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GRP440-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.10  % 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
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Thu Aug  3 21:59:52 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 78.00/29.30  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.00/29.31  
% 78.00/29.31  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 78.00/29.36  
% 78.00/29.36  Inference rules
% 78.00/29.36  ----------------------
% 78.00/29.36  #Ref     : 0
% 78.00/29.36  #Sup     : 30807
% 78.00/29.36  #Fact    : 0
% 78.00/29.36  #Define  : 0
% 78.00/29.36  #Split   : 0
% 78.00/29.36  #Chain   : 0
% 78.00/29.36  #Close   : 0
% 78.00/29.36  
% 78.00/29.36  Ordering : KBO
% 78.00/29.36  
% 78.00/29.36  Simplification rules
% 78.00/29.36  ----------------------
% 78.00/29.36  #Subsume      : 313
% 78.00/29.36  #Demod        : 2869
% 78.00/29.36  #Tautology    : 1189
% 78.00/29.36  #SimpNegUnit  : 0
% 78.00/29.36  #BackRed      : 27
% 78.00/29.36  
% 78.00/29.36  #Partial instantiations: 0
% 78.00/29.36  #Strategies tried      : 1
% 78.00/29.36  
% 78.00/29.36  Timing (in seconds)
% 78.00/29.36  ----------------------
% 78.27/29.36  Preprocessing        : 0.43
% 78.27/29.36  Parsing              : 0.22
% 78.27/29.36  CNF conversion       : 0.02
% 78.27/29.36  Main loop            : 27.69
% 78.27/29.36  Inferencing          : 8.61
% 78.27/29.36  Reduction            : 11.92
% 78.27/29.36  Demodulation         : 11.41
% 78.27/29.36  BG Simplification    : 1.60
% 78.27/29.36  Subsumption          : 4.73
% 78.27/29.36  Abstraction          : 3.75
% 78.27/29.36  MUC search           : 0.00
% 78.27/29.36  Cooper               : 0.00
% 78.27/29.36  Total                : 28.18
% 78.27/29.36  Index Insertion      : 0.00
% 78.27/29.36  Index Deletion       : 0.00
% 78.27/29.36  Index Matching       : 0.00
% 78.27/29.36  BG Taut test         : 0.00
%------------------------------------------------------------------------------