TSTP Solution File: GRP660-14 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %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  : 600s
% DateTime : Sat Jul 16 10:31:26 EDT 2022

% Result   : Unsatisfiable 4.01s 1.36s
% Output   : CNFRefutation 4.01s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 22:48:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  23310: Facts:
% 0.12/0.34  23310:  Id :   2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by f01 ?2 ?3
% 0.12/0.34  23310:  Id :   3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by f02 ?5 ?6
% 0.12/0.34  23310:  Id :   4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by f03 ?8 ?9
% 0.12/0.34  23310:  Id :   5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by f04 ?11 ?12
% 0.12/0.34  23310:  Id :   6, {_}:
% 0.12/0.34            mult (mult (mult ?14 ?15) ?16) ?14
% 0.12/0.34            =?=
% 0.12/0.34            mult ?14 (mult ?15 (mult ?16 ?14))
% 0.12/0.34            [16, 15, 14] by f05 ?14 ?15 ?16
% 0.12/0.34  23310: Goal:
% 0.12/0.34  23310:  Id :   1, {_}: mult (ld x1 x1) x0 =>= x0 [] by goal
% 4.01/1.36  Statistics :
% 4.01/1.36  Max weight : 26
% 4.01/1.36  Found proof, 1.020766s
% 4.01/1.36  % SZS status Unsatisfiable for theBenchmark.p
% 4.01/1.36  % SZS output start CNFRefutation for theBenchmark.p
% 4.01/1.36  Id :  23, {_}: mult (mult (mult ?64 ?65) ?66) ?64 =>= mult ?64 (mult ?65 (mult ?66 ?64)) [66, 65, 64] by f05 ?64 ?65 ?66
% 4.01/1.36  Id :  17, {_}: rd (mult ?45 ?46) ?46 =>= ?45 [46, 45] by f04 ?45 ?46
% 4.01/1.36  Id :   2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by f01 ?2 ?3
% 4.01/1.36  Id :   6, {_}: mult (mult (mult ?14 ?15) ?16) ?14 =>= mult ?14 (mult ?15 (mult ?16 ?14)) [16, 15, 14] by f05 ?14 ?15 ?16
% 4.01/1.36  Id :   5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by f04 ?11 ?12
% 4.01/1.36  Id :   4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by f03 ?8 ?9
% 4.01/1.36  Id :   3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by f02 ?5 ?6
% 4.01/1.36  Id :  13, {_}: ld (rd ?34 ?35) ?34 =>= ?35 [35, 34] by Super 3 with 4 at 2,2
% 4.01/1.36  Id :  46, {_}: rd (mult ?129 (mult ?130 (mult ?131 ?129))) ?129 =>= mult (mult ?129 ?130) ?131 [131, 130, 129] by Super 5 with 6 at 1,2
% 4.01/1.36  Id :  78, {_}: rd (mult ?252 (mult ?253 ?254)) ?252 =<= mult (mult ?252 ?253) (rd ?254 ?252) [254, 253, 252] by Super 46 with 4 at 2,2,1,2
% 4.01/1.36  Id :  82, {_}: rd (mult ?269 (mult (ld ?269 ?270) ?271)) ?269 =>= mult ?270 (rd ?271 ?269) [271, 270, 269] by Super 78 with 2 at 1,3
% 4.01/1.36  Id :  50, {_}: rd (mult ?146 ?147) ?146 =<= mult (mult ?146 (rd ?147 (mult ?148 ?146))) ?148 [148, 147, 146] by Super 46 with 4 at 2,1,2
% 4.01/1.36  Id : 237, {_}: rd (rd (mult ?737 ?738) ?737) ?739 =<= mult ?737 (rd ?738 (mult ?739 ?737)) [739, 738, 737] by Super 5 with 50 at 1,2
% 4.01/1.36  Id : 558, {_}: ld ?1646 (rd (rd (mult ?1646 ?1647) ?1646) ?1648) =>= rd ?1647 (mult ?1648 ?1646) [1648, 1647, 1646] by Super 3 with 237 at 2,2
% 4.01/1.36  Id : 585, {_}: ld ?1747 (rd ?1747 ?1748) =>= rd ?1747 (mult ?1748 ?1747) [1748, 1747] by Super 558 with 5 at 1,2,2
% 4.01/1.36  Id :  18, {_}: rd ?48 (ld ?49 ?48) =>= ?49 [49, 48] by Super 17 with 2 at 1,2
% 4.01/1.36  Id : 587, {_}: ld ?1753 ?1754 =<= rd ?1753 (mult (ld ?1754 ?1753) ?1753) [1754, 1753] by Super 585 with 18 at 2,2
% 4.01/1.36  Id : 700, {_}: ld (ld ?2060 ?2061) ?2060 =<= mult (ld ?2061 ?2060) ?2060 [2061, 2060] by Super 13 with 587 at 1,2
% 4.01/1.36  Id : 748, {_}: rd (mult ?2182 (ld (ld ?2183 ?2182) ?2183)) ?2182 =>= mult ?2183 (rd ?2183 ?2182) [2183, 2182] by Super 82 with 700 at 2,1,2
% 4.01/1.36  Id : 775, {_}: rd (ld (ld ?2251 ?2252) ?2251) ?2251 =>= ld ?2252 ?2251 [2252, 2251] by Super 5 with 700 at 1,2
% 4.01/1.36  Id : 776, {_}: rd (ld ?2254 ?2255) ?2255 =<= ld (mult ?2255 ?2254) ?2255 [2255, 2254] by Super 775 with 3 at 1,1,2
% 4.01/1.36  Id : 838, {_}: rd ?2398 (rd (ld ?2399 ?2398) ?2398) =>= mult ?2398 ?2399 [2399, 2398] by Super 18 with 776 at 2,2
% 4.01/1.36  Id : 840, {_}: rd ?2404 (rd ?2405 ?2404) =<= mult ?2404 (rd ?2404 ?2405) [2405, 2404] by Super 838 with 13 at 1,2,2
% 4.01/1.36  Id : 2993, {_}: rd (mult ?8043 (ld (ld ?8044 ?8043) ?8044)) ?8043 =>= rd ?8044 (rd ?8043 ?8044) [8044, 8043] by Demod 748 with 840 at 3
% 4.01/1.36  Id : 8514, {_}: rd (mult ?21488 (ld ?21489 (rd ?21488 ?21489))) ?21488 =>= rd (rd ?21488 ?21489) (rd ?21488 (rd ?21488 ?21489)) [21489, 21488] by Super 2993 with 13 at 1,2,1,2
% 4.01/1.36  Id : 8547, {_}: rd (rd ?21600 ?21600) ?21600 =<= rd (rd ?21600 ?21600) (rd ?21600 (rd ?21600 ?21600)) [21600] by Super 8514 with 2 at 1,2
% 4.01/1.36  Id : 11386, {_}: ld (rd (rd ?30066 ?30066) ?30066) (rd ?30066 ?30066) =>= rd ?30066 (rd ?30066 ?30066) [30066] by Super 13 with 8547 at 1,2
% 4.01/1.36  Id : 11475, {_}: ?30066 =<= rd ?30066 (rd ?30066 ?30066) [30066] by Demod 11386 with 13 at 2
% 4.01/1.36  Id : 11551, {_}: ld ?30269 ?30269 =>= rd ?30269 ?30269 [30269] by Super 13 with 11475 at 1,2
% 4.01/1.36  Id : 105, {_}: mult (mult ?350 ?351) ?352 =<= mult ?352 (mult (ld ?352 ?350) (mult ?351 ?352)) [352, 351, 350] by Super 23 with 2 at 1,1,2
% 4.01/1.36  Id : 107, {_}: mult (mult ?358 (rd ?359 ?360)) ?360 =>= mult ?360 (mult (ld ?360 ?358) ?359) [360, 359, 358] by Super 105 with 4 at 2,2,3
% 4.01/1.36  Id : 283, {_}: rd (rd (mult ?888 ?889) ?888) ?890 =<= mult ?888 (rd ?889 (mult ?890 ?888)) [890, 889, 888] by Super 5 with 50 at 1,2
% 4.01/1.36  Id : 1087, {_}: rd (rd (mult ?3021 ?3022) ?3021) (rd ?3023 ?3021) =>= mult ?3021 (rd ?3022 ?3023) [3023, 3022, 3021] by Super 283 with 4 at 2,2,3
% 4.01/1.36  Id : 1095, {_}: rd (rd ?3056 ?3057) (rd ?3058 ?3057) =<= mult ?3057 (rd (ld ?3057 ?3056) ?3058) [3058, 3057, 3056] by Super 1087 with 2 at 1,1,2
% 4.01/1.36  Id : 1137, {_}: mult (rd (rd ?3195 ?3196) (rd ?3197 ?3196)) ?3197 =>= mult ?3197 (mult (ld ?3197 ?3196) (ld ?3196 ?3195)) [3197, 3196, 3195] by Super 107 with 1095 at 1,2
% 4.01/1.36  Id : 559, {_}: ld ?1650 (rd (rd ?1651 ?1650) ?1652) =>= rd (ld ?1650 ?1651) (mult ?1652 ?1650) [1652, 1651, 1650] by Super 558 with 2 at 1,1,2,2
% 4.01/1.36  Id : 11555, {_}: ld (rd ?30279 ?30279) (rd ?30279 ?30280) =<= rd (ld (rd ?30279 ?30279) ?30279) (mult ?30280 (rd ?30279 ?30279)) [30280, 30279] by Super 559 with 11475 at 1,2,2
% 4.01/1.36  Id : 11609, {_}: ld (rd ?30279 ?30279) (rd ?30279 ?30280) =>= rd ?30279 (mult ?30280 (rd ?30279 ?30279)) [30280, 30279] by Demod 11555 with 13 at 1,3
% 4.01/1.36  Id : 12205, {_}: rd ?31262 (mult ?31262 (rd ?31262 ?31262)) =<= rd (rd ?31262 ?31262) (rd ?31262 ?31262) [31262] by Super 11551 with 11609 at 2
% 4.01/1.36  Id : 12244, {_}: rd ?31262 (rd ?31262 (rd ?31262 ?31262)) =<= rd (rd ?31262 ?31262) (rd ?31262 ?31262) [31262] by Demod 12205 with 840 at 2,2
% 4.01/1.36  Id : 12245, {_}: rd ?31262 ?31262 =<= rd (rd ?31262 ?31262) (rd ?31262 ?31262) [31262] by Demod 12244 with 11475 at 2,2
% 4.01/1.36  Id : 14070, {_}: mult (rd (rd ?34967 (rd ?34968 ?34968)) (rd ?34968 ?34968)) (rd ?34968 ?34968) =<= mult (rd ?34968 ?34968) (mult (ld (rd ?34968 ?34968) (rd ?34968 ?34968)) (ld (rd ?34968 ?34968) ?34967)) [34968, 34967] by Super 1137 with 12245 at 2,1,2
% 4.01/1.36  Id : 14168, {_}: rd ?34967 (rd ?34968 ?34968) =<= mult (rd ?34968 ?34968) (mult (ld (rd ?34968 ?34968) (rd ?34968 ?34968)) (ld (rd ?34968 ?34968) ?34967)) [34968, 34967] by Demod 14070 with 4 at 2
% 4.01/1.36  Id : 14169, {_}: rd ?34967 (rd ?34968 ?34968) =<= mult (rd ?34968 ?34968) (mult (rd (rd ?34968 ?34968) (rd ?34968 ?34968)) (ld (rd ?34968 ?34968) ?34967)) [34968, 34967] by Demod 14168 with 11551 at 1,2,3
% 4.01/1.36  Id : 14170, {_}: rd ?34967 (rd ?34968 ?34968) =<= mult (rd ?34968 ?34968) (mult (rd ?34968 ?34968) (ld (rd ?34968 ?34968) ?34967)) [34968, 34967] by Demod 14169 with 12245 at 1,2,3
% 4.01/1.36  Id : 14171, {_}: rd ?34967 (rd ?34968 ?34968) =<= mult (rd ?34968 ?34968) ?34967 [34968, 34967] by Demod 14170 with 2 at 2,3
% 4.01/1.36  Id :  24, {_}: mult (mult ?68 ?69) ?70 =<= mult ?70 (mult (ld ?70 ?68) (mult ?69 ?70)) [70, 69, 68] by Super 23 with 2 at 1,1,2
% 4.01/1.36  Id :  99, {_}: ld ?324 (mult (mult ?325 ?326) ?324) =<= mult (ld ?324 ?325) (mult ?326 ?324) [326, 325, 324] by Super 3 with 24 at 2,2
% 4.01/1.36  Id : 11696, {_}: ld ?30439 (mult (mult ?30439 ?30440) ?30439) =<= mult (rd ?30439 ?30439) (mult ?30440 ?30439) [30440, 30439] by Super 99 with 11551 at 1,3
% 4.01/1.36  Id : 14303, {_}: ld ?30439 (mult (mult ?30439 ?30440) ?30439) =>= rd (mult ?30440 ?30439) (rd ?30439 ?30439) [30440, 30439] by Demod 11696 with 14171 at 3
% 4.01/1.36  Id : 14308, {_}: ld (rd ?35052 ?35052) (mult (rd ?35053 (rd ?35052 ?35052)) (rd ?35052 ?35052)) =>= rd (mult ?35053 (rd ?35052 ?35052)) (rd (rd ?35052 ?35052) (rd ?35052 ?35052)) [35053, 35052] by Super 14303 with 14171 at 1,2,2
% 4.01/1.36  Id : 14621, {_}: ld (rd ?35052 ?35052) ?35053 =<= rd (mult ?35053 (rd ?35052 ?35052)) (rd (rd ?35052 ?35052) (rd ?35052 ?35052)) [35053, 35052] by Demod 14308 with 4 at 2,2
% 4.01/1.36  Id : 14622, {_}: ld (rd ?35052 ?35052) ?35053 =<= rd (mult ?35053 (rd ?35052 ?35052)) (rd ?35052 ?35052) [35053, 35052] by Demod 14621 with 12245 at 2,3
% 4.01/1.37  Id : 14623, {_}: ld (rd ?35052 ?35052) ?35053 =>= ?35053 [35053, 35052] by Demod 14622 with 5 at 3
% 4.01/1.37  Id : 14910, {_}: mult (rd ?35891 ?35891) ?35892 =>= ?35892 [35892, 35891] by Super 3 with 14623 at 2
% 4.01/1.37  Id : 15006, {_}: rd ?35892 (rd ?35891 ?35891) =>= ?35892 [35891, 35892] by Demod 14910 with 14171 at 2
% 4.01/1.37  Id : 15529, {_}: ?34967 =<= mult (rd ?34968 ?34968) ?34967 [34968, 34967] by Demod 14171 with 15006 at 2
% 4.01/1.37  Id : 15942, {_}: x0 =?= x0 [] by Demod 15941 with 15529 at 2
% 4.01/1.37  Id : 15941, {_}: mult (rd x1 x1) x0 =>= x0 [] by Demod 1 with 11551 at 1,2
% 4.01/1.37  Id :   1, {_}: mult (ld x1 x1) x0 =>= x0 [] by goal
% 4.01/1.37  % SZS output end CNFRefutation for theBenchmark.p
% 4.01/1.37  23311: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.022913 using kbo
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