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