TSTP Solution File: GRP441-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP441-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.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 244.95s 87.52s
% Output : CNFRefutation 244.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of formulae : 106 ( 101 unt; 5 typ; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 349 (; 349 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
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_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_63843,plain,
! [B_396,B_2,D_4,B_395] : ( inverse(multiply(inverse(B_396),multiply(B_2,multiply(multiply(inverse(B_2),B_396),inverse(multiply(D_4,multiply(inverse(B_395),B_395))))))) = D_4 ),
inference(superposition,[status(thm),theory(equality)],[c_61731,c_2]) ).
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_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_55435,plain,
! [A_384,B_385,C_386,B_387] : ( inverse(multiply(A_384,multiply(B_385,multiply(multiply(inverse(B_385),C_386),inverse(multiply(inverse(B_387),B_387)))))) = inverse(multiply(A_384,C_386)) ),
inference(superposition,[status(thm),theory(equality)],[c_48700,c_2]) ).
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_41537,plain,
! [B_350,D_351,A_352] : ( multiply(B_350,multiply(inverse(B_350),D_351)) = multiply(A_352,multiply(inverse(A_352),D_351)) ),
inference(superposition,[status(thm),theory(equality)],[c_40552,c_34290]) ).
tff(c_43587,plain,
! [B_350,A_352,B_103,B_339] : ( multiply(B_350,inverse(B_350)) = multiply(A_352,multiply(inverse(A_352),multiply(B_103,multiply(B_339,inverse(multiply(inverse(inverse(B_103)),B_339)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_36666,c_41537]) ).
tff(c_44108,plain,
! [B_353,A_354] : ( multiply(B_353,inverse(B_353)) = multiply(A_354,inverse(A_354)) ),
inference(demodulation,[status(thm),theory(equality)],[c_36666,c_43587]) ).
tff(c_45120,plain,
! [B_353,B_2,D_4,A_354] : ( inverse(multiply(B_353,multiply(B_2,multiply(multiply(inverse(B_2),inverse(B_353)),inverse(multiply(D_4,multiply(A_354,inverse(A_354)))))))) = D_4 ),
inference(superposition,[status(thm),theory(equality)],[c_44108,c_2]) ).
tff(c_55471,plain,
! [A_384,A_354] : ( inverse(multiply(A_384,inverse(A_384))) = inverse(multiply(A_354,inverse(A_354))) ),
inference(superposition,[status(thm),theory(equality)],[c_55435,c_45120]) ).
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_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_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_39909,plain,
! [D_343,A_344,B_125] : ( multiply(inverse(multiply(D_343,multiply(A_344,multiply(inverse(A_344),inverse(B_125))))),D_343) = B_125 ),
inference(superposition,[status(thm),theory(equality)],[c_39503,c_4660]) ).
tff(c_89851,plain,
! [D_470,B_471,B_472] : ( multiply(inverse(multiply(D_470,multiply(inverse(B_471),multiply(inverse(B_472),B_472)))),D_470) = B_471 ),
inference(superposition,[status(thm),theory(equality)],[c_59594,c_39909]) ).
tff(c_91195,plain,
! [D_470,B_471,B_334,B_395] : ( multiply(inverse(multiply(D_470,multiply(inverse(B_471),multiply(B_334,multiply(inverse(B_334),inverse(multiply(inverse(B_395),B_395))))))),D_470) = B_471 ),
inference(superposition,[status(thm),theory(equality)],[c_61931,c_89851]) ).
tff(c_93496,plain,
! [D_477,B_478] : ( multiply(inverse(multiply(D_477,inverse(B_478))),D_477) = B_478 ),
inference(demodulation,[status(thm),theory(equality)],[c_47189,c_91195]) ).
tff(c_95039,plain,
! [A_479,A_480] : ( multiply(inverse(multiply(A_479,inverse(A_479))),A_480) = A_480 ),
inference(superposition,[status(thm),theory(equality)],[c_55471,c_93496]) ).
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_101532,plain,
! [B_491,A_492] : ( multiply(inverse(B_491),B_491) = multiply(A_492,inverse(A_492)) ),
inference(superposition,[status(thm),theory(equality)],[c_95039,c_59600]) ).
tff(c_75150,plain,
! [B_439,B_437,B_438] : ( multiply(B_439,multiply(inverse(B_439),B_437)) = multiply(B_437,multiply(inverse(B_438),B_438)) ),
inference(superposition,[status(thm),theory(equality)],[c_61731,c_40581]) ).
tff(c_77521,plain,
! [B_438,B_2,B_439,B_437] : ( inverse(multiply(inverse(B_438),multiply(B_2,multiply(multiply(inverse(B_2),B_438),inverse(multiply(B_439,multiply(inverse(B_439),B_437))))))) = B_437 ),
inference(superposition,[status(thm),theory(equality)],[c_75150,c_2]) ).
tff(c_101689,plain,
! [B_438,B_2,B_439,B_491] : ( inverse(multiply(inverse(B_438),multiply(B_2,multiply(multiply(inverse(B_2),B_438),inverse(multiply(B_439,multiply(inverse(B_491),B_491))))))) = inverse(inverse(B_439)) ),
inference(superposition,[status(thm),theory(equality)],[c_101532,c_77521]) ).
tff(c_103955,plain,
! [B_439] : ( inverse(inverse(B_439)) = B_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_63843,c_101689]) ).
tff(c_91676,plain,
! [D_470,B_471] : ( multiply(inverse(multiply(D_470,inverse(B_471))),D_470) = B_471 ),
inference(demodulation,[status(thm),theory(equality)],[c_47189,c_91195]) ).
tff(c_94840,plain,
! [A_384,A_354] : ( multiply(inverse(multiply(A_384,inverse(A_384))),A_354) = A_354 ),
inference(superposition,[status(thm),theory(equality)],[c_55471,c_93496]) ).
tff(c_102160,plain,
! [B_491,B_332,A_492] : ( multiply(B_491,multiply(B_332,inverse(multiply(inverse(multiply(A_492,inverse(A_492))),B_332)))) = B_491 ),
inference(superposition,[status(thm),theory(equality)],[c_101532,c_34290]) ).
tff(c_106257,plain,
! [B_498,B_499] : ( multiply(B_498,multiply(B_499,inverse(B_499))) = B_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_94840,c_102160]) ).
tff(c_106642,plain,
! [A_348,B_498] : ( multiply(A_348,multiply(inverse(A_348),inverse(inverse(B_498)))) = B_498 ),
inference(superposition,[status(thm),theory(equality)],[c_106257,c_40581]) ).
tff(c_107779,plain,
! [A_348,B_498] : ( multiply(A_348,multiply(inverse(A_348),B_498)) = B_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_103955,c_106642]) ).
tff(c_5429,plain,
! [B_129,B_2,C_3,D_4,B_131] : ( multiply(inverse(B_129),multiply(B_129,multiply(multiply(B_2,multiply(multiply(inverse(B_2),C_3),inverse(multiply(D_4,multiply(inverse(B_131),C_3))))),D_4))) = B_131 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4942]) ).
tff(c_10621,plain,
! [B_129,D_183,B_2,D_4,B_131,B_182,B_181] : ( multiply(inverse(B_129),multiply(B_129,multiply(multiply(B_2,multiply(inverse(B_2),inverse(multiply(D_4,multiply(inverse(B_131),multiply(B_181,multiply(multiply(inverse(B_181),multiply(B_182,inverse(multiply(D_183,B_182)))),D_183))))))),D_4))) = B_131 ),
inference(superposition,[status(thm),theory(equality)],[c_10607,c_5429]) ).
tff(c_11265,plain,
! [B_129,B_2,D_4,B_131] : ( multiply(inverse(B_129),multiply(B_129,multiply(multiply(B_2,multiply(inverse(B_2),inverse(multiply(D_4,inverse(B_131))))),D_4))) = B_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_8313,c_10621]) ).
tff(c_109628,plain,
! [B_129,D_4,B_131] : ( multiply(inverse(B_129),multiply(B_129,multiply(inverse(multiply(D_4,inverse(B_131))),D_4))) = B_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_107779,c_11265]) ).
tff(c_113371,plain,
! [B_514,B_515] : ( multiply(inverse(B_514),multiply(B_514,B_515)) = B_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_91676,c_109628]) ).
tff(c_114717,plain,
! [D_470,B_471] : ( multiply(inverse(inverse(multiply(D_470,inverse(B_471)))),B_471) = D_470 ),
inference(superposition,[status(thm),theory(equality)],[c_91676,c_113371]) ).
tff(c_118459,plain,
! [D_521,B_522] : ( multiply(multiply(D_521,inverse(B_522)),B_522) = D_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_103955,c_114717]) ).
tff(c_119190,plain,
! [D_521,B_439] : ( multiply(multiply(D_521,B_439),inverse(B_439)) = D_521 ),
inference(superposition,[status(thm),theory(equality)],[c_103955,c_118459]) ).
tff(c_106432,plain,
! [B_498,B_395] : ( multiply(inverse(inverse(B_498)),multiply(inverse(B_395),B_395)) = B_498 ),
inference(superposition,[status(thm),theory(equality)],[c_106257,c_61931]) ).
tff(c_107749,plain,
! [B_498,B_395] : ( multiply(B_498,multiply(inverse(B_395),B_395)) = B_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_103955,c_106432]) ).
tff(c_14979,plain,
! [B_212,B_209,B_210,B_2,D_211] : ( multiply(B_209,multiply(B_210,inverse(multiply(D_211,B_210)))) = inverse(multiply(B_212,multiply(B_2,multiply(multiply(inverse(B_2),multiply(inverse(B_212),D_211)),inverse(B_209))))) ),
inference(superposition,[status(thm),theory(equality)],[c_14716,c_2]) ).
tff(c_133917,plain,
! [B_566,A_567] : ( multiply(inverse(multiply(inverse(B_566),B_566)),A_567) = A_567 ),
inference(superposition,[status(thm),theory(equality)],[c_101532,c_94840]) ).
tff(c_135967,plain,
! [B_212,B_210,B_2,D_211,B_566] : ( multiply(B_210,inverse(multiply(D_211,B_210))) = inverse(multiply(B_212,multiply(B_2,multiply(multiply(inverse(B_2),multiply(inverse(B_212),D_211)),inverse(inverse(multiply(inverse(B_566),B_566))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_14979,c_133917]) ).
tff(c_139362,plain,
! [B_572,D_573] : ( multiply(B_572,inverse(multiply(D_573,B_572))) = inverse(D_573) ),
inference(demodulation,[status(thm),theory(equality)],[c_107779,c_107779,c_107749,c_103955,c_135967]) ).
tff(c_139502,plain,
! [D_573,A_348] : ( inverse(multiply(D_573,inverse(A_348))) = multiply(A_348,inverse(D_573)) ),
inference(superposition,[status(thm),theory(equality)],[c_139362,c_107779]) ).
tff(c_109638,plain,
! [B_129,B_131] : ( multiply(inverse(B_129),multiply(B_129,B_131)) = B_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_91676,c_109628]) ).
tff(c_11290,plain,
! [A_88,B_90,B_10] : ( multiply(A_88,multiply(B_90,multiply(inverse(B_90),inverse(multiply(inverse(B_10),A_88))))) = B_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_8313,c_10800]) ).
tff(c_142368,plain,
! [A_576,B_577] : ( multiply(A_576,inverse(multiply(inverse(B_577),A_576))) = B_577 ),
inference(demodulation,[status(thm),theory(equality)],[c_107779,c_11290]) ).
tff(c_142493,plain,
! [B_577,A_576] : ( inverse(multiply(inverse(B_577),A_576)) = multiply(inverse(A_576),B_577) ),
inference(superposition,[status(thm),theory(equality)],[c_142368,c_109638]) ).
tff(c_136505,plain,
! [B_210,D_211] : ( multiply(B_210,inverse(multiply(D_211,B_210))) = inverse(D_211) ),
inference(demodulation,[status(thm),theory(equality)],[c_107779,c_107779,c_107749,c_103955,c_135967]) ).
tff(c_39831,plain,
! [D_343,A_344,D_345] : ( inverse(multiply(inverse(multiply(D_343,multiply(A_344,multiply(inverse(A_344),D_345)))),D_343)) = D_345 ),
inference(superposition,[status(thm),theory(equality)],[c_39503,c_11336]) ).
tff(c_136518,plain,
! [D_568,D_569] : ( inverse(multiply(inverse(multiply(D_568,D_569)),D_568)) = D_569 ),
inference(demodulation,[status(thm),theory(equality)],[c_107779,c_39831]) ).
tff(c_137654,plain,
! [B_2,C_3,D_4,A_1] : ( multiply(B_2,multiply(multiply(inverse(B_2),C_3),inverse(multiply(D_4,multiply(A_1,C_3))))) = inverse(multiply(D_4,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_136518]) ).
tff(c_362,plain,
! [B_38,A_36,C_34,B_39,D_37,A_41,D_35,C_40] : ( inverse(multiply(B_39,multiply(multiply(A_36,multiply(B_38,multiply(multiply(inverse(B_38),C_34),inverse(multiply(D_35,multiply(A_36,C_34)))))),multiply(multiply(D_35,multiply(multiply(inverse(B_39),C_40),inverse(multiply(D_37,multiply(A_41,C_40))))),D_37)))) = A_41 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_141]) ).
tff(c_500,plain,
! [B_38,A_36,C_34,B_2,D_37,C_3,A_1,D_4,A_41,D_35,C_40] : ( inverse(multiply(multiply(A_1,multiply(B_2,multiply(multiply(inverse(B_2),C_3),inverse(multiply(D_4,multiply(A_1,C_3)))))),multiply(multiply(A_36,multiply(B_38,multiply(multiply(inverse(B_38),C_34),inverse(multiply(D_35,multiply(A_36,C_34)))))),multiply(multiply(D_35,multiply(multiply(D_4,C_40),inverse(multiply(D_37,multiply(A_41,C_40))))),D_37)))) = A_41 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_362]) ).
tff(c_211224,plain,
! [D_783,D_785,D_782,C_784,A_781] : ( multiply(multiply(inverse(multiply(multiply(D_785,multiply(multiply(D_783,C_784),inverse(multiply(D_782,multiply(A_781,C_784))))),D_782)),D_785),D_783) = A_781 ),
inference(demodulation,[status(thm),theory(equality)],[c_142493,c_142493,c_136505,c_137654,c_136505,c_137654,c_500]) ).
tff(c_212694,plain,
! [D_785,D_783,B_131,B_129] : ( multiply(multiply(inverse(multiply(multiply(D_785,multiply(multiply(D_783,B_131),inverse(B_131))),inverse(B_129))),D_785),D_783) = B_129 ),
inference(superposition,[status(thm),theory(equality)],[c_109638,c_211224]) ).
tff(c_233784,plain,
! [B_849,D_850,D_851] : ( multiply(multiply(multiply(B_849,inverse(multiply(D_850,D_851))),D_850),D_851) = B_849 ),
inference(demodulation,[status(thm),theory(equality)],[c_139502,c_119190,c_212694]) ).
tff(c_234895,plain,
! [D_521,D_850,D_851] : ( multiply(multiply(D_521,D_850),D_851) = multiply(D_521,multiply(D_850,D_851)) ),
inference(superposition,[status(thm),theory(equality)],[c_119190,c_233784]) ).
tff(c_4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_235307,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234895,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP441-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 22:07:54 EDT 2023
% 0.22/0.36 % CPUTime :
% 244.95/87.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 244.95/87.53
% 244.95/87.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 244.95/87.59
% 244.95/87.59 Inference rules
% 244.95/87.59 ----------------------
% 244.95/87.59 #Ref : 0
% 244.95/87.59 #Sup : 67729
% 244.95/87.59 #Fact : 0
% 244.95/87.59 #Define : 0
% 244.95/87.59 #Split : 0
% 244.95/87.59 #Chain : 0
% 244.95/87.59 #Close : 0
% 244.95/87.59
% 244.95/87.59 Ordering : KBO
% 244.95/87.59
% 244.95/87.59 Simplification rules
% 244.95/87.59 ----------------------
% 244.95/87.59 #Subsume : 1518
% 244.95/87.59 #Demod : 30243
% 244.95/87.59 #Tautology : 3751
% 244.95/87.59 #SimpNegUnit : 0
% 244.95/87.59 #BackRed : 135
% 244.95/87.59
% 244.95/87.59 #Partial instantiations: 0
% 244.95/87.59 #Strategies tried : 1
% 244.95/87.59
% 244.95/87.59 Timing (in seconds)
% 244.95/87.59 ----------------------
% 244.95/87.60 Preprocessing : 0.39
% 244.95/87.60 Parsing : 0.21
% 244.95/87.60 CNF conversion : 0.02
% 244.95/87.60 Main loop : 86.02
% 244.95/87.60 Inferencing : 16.95
% 244.95/87.60 Reduction : 54.06
% 244.95/87.60 Demodulation : 50.61
% 244.95/87.60 BG Simplification : 3.35
% 244.95/87.60 Subsumption : 5.90
% 244.95/87.60 Abstraction : 6.18
% 244.95/87.60 MUC search : 0.00
% 244.95/87.60 Cooper : 0.00
% 244.95/87.60 Total : 86.50
% 244.95/87.60 Index Insertion : 0.00
% 244.95/87.60 Index Deletion : 0.00
% 244.95/87.60 Index Matching : 0.00
% 244.95/87.60 BG Taut test : 0.00
%------------------------------------------------------------------------------