TSTP Solution File: GRP680-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n029.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 10:31:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 07:24:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  413: Facts:
% 0.12/0.34  413:  Id :   2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.12/0.34  413:  Id :   3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.12/0.34  413:  Id :   4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.12/0.34  413:  Id :   5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.12/0.34  413:  Id :   6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.12/0.34  413:  Id :   7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.12/0.34  413:  Id :   8, {_}:
% 0.12/0.34            mult ?18 (mult ?19 (mult ?18 ?20))
% 0.12/0.34            =?=
% 0.12/0.34            mult (mult ?18 (mult ?19 ?18)) ?20
% 0.12/0.34            [20, 19, 18] by c07 ?18 ?19 ?20
% 0.12/0.34  413:  Id :   9, {_}: mult (i ?22) (mult ?22 ?23) =>= ?23 [23, 22] by c08 ?22 ?23
% 0.12/0.34  413:  Id :  10, {_}: mult op_c ?25 =?= mult ?25 op_c [25] by c09 ?25
% 0.12/0.34  413: Goal:
% 0.12/0.34  413:  Id :   1, {_}: mult (i op_c) a =>= mult a (i op_c) [] by goals
% 0.19/0.50  Statistics :
% 0.19/0.50  Max weight : 22
% 0.19/0.50  Found proof, 0.160248s
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.50  % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.50  Id :  21, {_}: rd (mult ?54 ?55) ?55 =>= ?54 [55, 54] by c04 ?54 ?55
% 0.19/0.50  Id :  10, {_}: mult op_c ?25 =?= mult ?25 op_c [25] by c09 ?25
% 0.19/0.50  Id :   6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.19/0.50  Id :   8, {_}: mult ?18 (mult ?19 (mult ?18 ?20)) =?= mult (mult ?18 (mult ?19 ?18)) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.19/0.50  Id :   9, {_}: mult (i ?22) (mult ?22 ?23) =>= ?23 [23, 22] by c08 ?22 ?23
% 0.19/0.50  Id :   5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.19/0.50  Id :   4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.19/0.50  Id :   3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.19/0.50  Id :   2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.19/0.50  Id :  83, {_}: mult (i ?221) (mult ?221 ?222) =>= ?222 [222, 221] by c08 ?221 ?222
% 0.19/0.50  Id :  84, {_}: mult (i ?224) ?225 =>= ld ?224 ?225 [225, 224] by Super 83 with 2 at 2,2
% 0.19/0.50  Id :  17, {_}: ld (rd ?43 ?44) ?43 =>= ?44 [44, 43] by Super 3 with 4 at 2,2
% 0.19/0.50  Id : 1165, {_}: rd ?1558 (mult ?1559 ?1558) =>= i ?1559 [1559, 1558] by Super 5 with 9 at 1,2
% 0.19/0.50  Id : 1167, {_}: rd ?1564 ?1565 =<= i (rd ?1565 ?1564) [1565, 1564] by Super 1165 with 4 at 2,2
% 0.19/0.50  Id : 2169, {_}: rd (mult ?2658 (mult ?2659 (mult ?2658 ?2660))) ?2660 =>= mult ?2658 (mult ?2659 ?2658) [2660, 2659, 2658] by Super 5 with 8 at 1,2
% 0.19/0.50  Id :  26, {_}: ld ?67 ?67 =>= unit [67] by Super 3 with 6 at 2,2
% 0.19/0.50  Id :  79, {_}: ld (i ?207) ?208 =>= mult ?207 ?208 [208, 207] by Super 3 with 9 at 2,2
% 0.19/0.50  Id : 206, {_}: mult ?385 (i ?385) =>= unit [385] by Super 26 with 79 at 2
% 0.19/0.50  Id : 2177, {_}: rd (mult ?2689 (mult ?2690 unit)) (i ?2689) =>= mult ?2689 (mult ?2690 ?2689) [2690, 2689] by Super 2169 with 206 at 2,2,1,2
% 0.19/0.50  Id : 2893, {_}: rd (mult ?3390 ?3391) (i ?3390) =>= mult ?3390 (mult ?3391 ?3390) [3391, 3390] by Demod 2177 with 6 at 2,1,2
% 0.19/0.50  Id : 230, {_}: mult op_c (i ?424) =>= ld ?424 op_c [424] by Super 10 with 84 at 3
% 0.19/0.50  Id : 2906, {_}: rd (ld ?3426 op_c) (i op_c) =<= mult op_c (mult (i ?3426) op_c) [3426] by Super 2893 with 230 at 1,2
% 0.19/0.50  Id : 2949, {_}: rd (ld ?3426 op_c) (i op_c) =>= mult op_c (ld ?3426 op_c) [3426] by Demod 2906 with 84 at 2,3
% 0.19/0.50  Id : 1818, {_}: mult op_c (mult ?2417 (mult op_c ?2418)) =<= mult (mult op_c (mult op_c ?2417)) ?2418 [2418, 2417] by Super 8 with 10 at 2,1,3
% 0.19/0.50  Id : 1824, {_}: mult op_c (mult (i ?2434) (mult op_c ?2435)) =>= mult (mult op_c (ld ?2434 op_c)) ?2435 [2435, 2434] by Super 1818 with 230 at 2,1,3
% 0.19/0.50  Id : 1873, {_}: mult op_c (ld ?2434 (mult op_c ?2435)) =<= mult (mult op_c (ld ?2434 op_c)) ?2435 [2435, 2434] by Demod 1824 with 84 at 2,2
% 0.19/0.50  Id : 2249, {_}: mult op_c (mult op_c (ld ?2795 op_c)) =>= mult op_c (ld ?2795 (mult op_c op_c)) [2795] by Super 10 with 1873 at 3
% 0.19/0.50  Id : 2366, {_}: ld op_c (mult op_c (ld ?2980 (mult op_c op_c))) =>= mult op_c (ld ?2980 op_c) [2980] by Super 3 with 2249 at 2,2
% 0.19/0.50  Id : 2383, {_}: ld ?2980 (mult op_c op_c) =<= mult op_c (ld ?2980 op_c) [2980] by Demod 2366 with 3 at 2
% 0.19/0.50  Id : 2950, {_}: rd (ld ?3426 op_c) (i op_c) =>= ld ?3426 (mult op_c op_c) [3426] by Demod 2949 with 2383 at 3
% 0.19/0.50  Id : 3551, {_}: rd (i op_c) (ld ?3973 op_c) =<= i (ld ?3973 (mult op_c op_c)) [3973] by Super 1167 with 2950 at 1,3
% 0.19/0.50  Id : 3553, {_}: rd (i op_c) (ld (rd (mult op_c op_c) ?3976) op_c) =>= i ?3976 [3976] by Super 3551 with 17 at 1,3
% 0.19/0.50  Id :  22, {_}: rd ?57 (ld ?58 ?57) =>= ?58 [58, 57] by Super 21 with 2 at 1,2
% 0.19/0.50  Id : 106, {_}: rd (mult op_c ?274) op_c =>= ?274 [274] by Super 5 with 10 at 1,2
% 0.19/0.50  Id : 2473, {_}: rd (ld ?3070 (mult op_c op_c)) op_c =>= ld ?3070 op_c [3070] by Super 106 with 2383 at 1,2
% 0.19/0.50  Id : 2475, {_}: rd ?3073 op_c =<= ld (rd (mult op_c op_c) ?3073) op_c [3073] by Super 2473 with 17 at 1,2
% 0.19/0.50  Id : 2549, {_}: rd op_c (rd ?3113 op_c) =<= rd (mult op_c op_c) ?3113 [3113] by Super 22 with 2475 at 2,2
% 0.19/0.50  Id : 3577, {_}: rd (i op_c) (ld (rd op_c (rd ?3976 op_c)) op_c) =>= i ?3976 [3976] by Demod 3553 with 2549 at 1,2,2
% 0.19/0.50  Id : 3578, {_}: rd (i op_c) (rd ?3976 op_c) =>= i ?3976 [3976] by Demod 3577 with 17 at 2,2
% 0.19/0.50  Id : 3788, {_}: ld (i ?4179) (i op_c) =>= rd ?4179 op_c [4179] by Super 17 with 3578 at 1,2
% 0.19/0.50  Id : 3816, {_}: mult ?4179 (i op_c) =>= rd ?4179 op_c [4179] by Demod 3788 with 79 at 2
% 0.19/0.50  Id : 102, {_}: mult op_c (rd ?266 op_c) =>= ?266 [266] by Super 4 with 10 at 2
% 0.19/0.50  Id : 427, {_}: ld op_c ?692 =>= rd ?692 op_c [692] by Super 3 with 102 at 2,2
% 0.19/0.50  Id : 3988, {_}: rd a op_c === rd a op_c [] by Demod 3987 with 427 at 2
% 0.19/0.50  Id : 3987, {_}: ld op_c a =>= rd a op_c [] by Demod 3986 with 3816 at 3
% 0.19/0.50  Id : 3986, {_}: ld op_c a =<= mult a (i op_c) [] by Demod 1 with 84 at 2
% 0.19/0.50  Id :   1, {_}: mult (i op_c) a =>= mult a (i op_c) [] by goals
% 0.19/0.50  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50  413: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.163256 using nrkbo
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