TSTP Solution File: PUZ016-2.005 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : Mon Jul 18 18:27:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 : Sat May 28 23:09:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 611 clauses, backtracked 1390 clauses, performed 32 splits and kept 1875 clauses.
% 0.19/0.44 SPASS allocated 63384 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.44 0:00:00.03 for the input.
% 0.19/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.04 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 3, length 624 :
% 0.19/0.44 % SZS output start Refutation
% 0.19/0.44 3[0:Inp] || vertical_1_2* -> .
% 0.19/0.44 4[0:Inp] || vertical_1_3* -> .
% 0.19/0.44 5[0:Inp] || horizontal_1_1* -> .
% 0.19/0.44 7[0:Inp] || -> horizontal_1_1* vertical_1_1.
% 0.19/0.44 9[0:Inp] || -> horizontal_1_4* vertical_1_5.
% 0.19/0.44 11[0:Inp] || -> horizontal_2_2 vertical_2_2 horizontal_2_1 vertical_1_2*.
% 0.19/0.44 12[0:Inp] || -> horizontal_2_3 vertical_2_3 horizontal_2_2 vertical_1_3*.
% 0.19/0.44 13[0:Inp] || -> vertical_1_4* horizontal_2_3 vertical_2_4 horizontal_2_4.
% 0.19/0.44 14[0:Inp] || -> vertical_1_5* horizontal_2_4 vertical_2_5.
% 0.19/0.44 15[0:Inp] || -> horizontal_3_1 vertical_3_1 vertical_2_1*.
% 0.19/0.44 16[0:Inp] || -> vertical_2_2* horizontal_3_1 vertical_3_2 horizontal_3_2.
% 0.19/0.44 17[0:Inp] || -> vertical_2_3* horizontal_3_2 vertical_3_3 horizontal_3_3.
% 0.19/0.44 18[0:Inp] || -> vertical_2_4* horizontal_3_3 vertical_3_4 horizontal_3_4.
% 0.19/0.44 19[0:Inp] || -> vertical_2_5* horizontal_3_4 vertical_3_5.
% 0.19/0.44 21[0:Inp] || -> vertical_3_2* horizontal_4_1 vertical_4_2 horizontal_4_2.
% 0.19/0.44 22[0:Inp] || -> vertical_3_3* horizontal_4_2 vertical_4_3 horizontal_4_3.
% 0.19/0.44 23[0:Inp] || -> vertical_3_4* horizontal_4_3 vertical_4_4 horizontal_4_4.
% 0.19/0.44 24[0:Inp] || -> vertical_3_5* horizontal_4_4 vertical_4_5.
% 0.19/0.44 25[0:Inp] || -> vertical_4_1* horizontal_5_1.
% 0.19/0.44 27[0:Inp] || -> vertical_4_3* horizontal_5_2 horizontal_5_3.
% 0.19/0.44 28[0:Inp] || -> vertical_4_4* horizontal_5_3 horizontal_5_4.
% 0.19/0.44 29[0:Inp] || -> vertical_4_5* horizontal_5_4.
% 0.19/0.44 31[0:Inp] || vertical_1_4 horizontal_1_4* -> .
% 0.19/0.44 36[0:Inp] || horizontal_2_1 vertical_1_1* -> .
% 0.19/0.44 37[0:Inp] || vertical_2_1 vertical_1_1* -> .
% 0.19/0.44 44[0:Inp] || vertical_2_3 horizontal_2_3* -> .
% 0.19/0.44 45[0:Inp] || horizontal_2_2* horizontal_2_3 -> .
% 0.19/0.44 47[0:Inp] || horizontal_2_2* vertical_2_3 -> .
% 0.19/0.44 56[0:Inp] || horizontal_2_4* vertical_2_5 -> .
% 0.19/0.44 57[0:Inp] || vertical_1_5* vertical_2_5 -> .
% 0.19/0.44 62[0:Inp] || vertical_3_2 horizontal_3_2* -> .
% 0.19/0.44 63[0:Inp] || horizontal_3_1* horizontal_3_2 -> .
% 0.19/0.44 64[0:Inp] || vertical_2_2* horizontal_3_2 -> .
% 0.19/0.44 65[0:Inp] || horizontal_3_1* vertical_3_2 -> .
% 0.19/0.44 66[0:Inp] || vertical_2_2* vertical_3_2 -> .
% 0.19/0.44 67[0:Inp] || vertical_2_2* horizontal_3_1 -> .
% 0.19/0.44 74[0:Inp] || vertical_3_4 horizontal_3_4* -> .
% 0.19/0.44 75[0:Inp] || horizontal_3_3* horizontal_3_4 -> .
% 0.19/0.44 77[0:Inp] || horizontal_3_3* vertical_3_4 -> .
% 0.19/0.44 78[0:Inp] || vertical_2_4* vertical_3_4 -> .
% 0.19/0.44 79[0:Inp] || vertical_2_4* horizontal_3_3 -> .
% 0.19/0.44 83[0:Inp] || vertical_4_1 horizontal_4_1* -> .
% 0.19/0.44 84[0:Inp] || vertical_3_1* horizontal_4_1 -> .
% 0.19/0.44 85[0:Inp] || vertical_3_1* vertical_4_1 -> .
% 0.19/0.44 92[0:Inp] || vertical_4_3 horizontal_4_3* -> .
% 0.19/0.44 93[0:Inp] || horizontal_4_2* horizontal_4_3 -> .
% 0.19/0.44 94[0:Inp] || vertical_3_3* horizontal_4_3 -> .
% 0.19/0.44 95[0:Inp] || horizontal_4_2* vertical_4_3 -> .
% 0.19/0.44 96[0:Inp] || vertical_3_3* vertical_4_3 -> .
% 0.19/0.44 97[0:Inp] || vertical_3_3* horizontal_4_2 -> .
% 0.19/0.44 104[0:Inp] || horizontal_4_4* vertical_4_5 -> .
% 0.19/0.44 105[0:Inp] || vertical_3_5* vertical_4_5 -> .
% 0.19/0.44 106[0:Inp] || vertical_3_5* horizontal_4_4 -> .
% 0.19/0.44 108[0:Inp] || horizontal_5_1* horizontal_5_2 -> .
% 0.19/0.44 109[0:Inp] || vertical_4_2* horizontal_5_2 -> .
% 0.19/0.44 110[0:Inp] || vertical_4_2* horizontal_5_1 -> .
% 0.19/0.44 114[0:Inp] || horizontal_5_3* horizontal_5_4 -> .
% 0.19/0.44 115[0:Inp] || vertical_4_4* horizontal_5_4 -> .
% 0.19/0.44 116[0:Inp] || vertical_4_4* horizontal_5_3 -> .
% 0.19/0.44 118[0:MRR:7.0,5.0] || -> vertical_1_1*.
% 0.19/0.44 120[0:MRR:37.1,118.0] || vertical_2_1* -> .
% 0.19/0.44 121[0:MRR:15.2,120.0] || -> vertical_3_1 horizontal_3_1*.
% 0.19/0.44 122[0:MRR:36.1,118.0] || horizontal_2_1* -> .
% 0.19/0.44 123[0:MRR:12.3,4.0] || -> horizontal_2_2* vertical_2_3 horizontal_2_3.
% 0.19/0.44 124[0:MRR:11.2,11.3,122.0,3.0] || -> vertical_2_2 horizontal_2_2*.
% 0.19/0.44 125[1:Spt:18.0] || -> vertical_2_4*.
% 0.19/0.44 126[1:MRR:79.0,125.0] || horizontal_3_3* -> .
% 0.19/0.44 127[1:MRR:78.0,125.0] || vertical_3_4* -> .
% 0.19/0.44 132[1:MRR:17.3,126.0] || -> vertical_2_3* horizontal_3_2 vertical_3_3.
% 0.19/0.44 133[1:MRR:23.0,127.0] || -> horizontal_4_3* vertical_4_4 horizontal_4_4.
% 0.19/0.44 142[2:Spt:22.1] || -> horizontal_4_2*.
% 0.19/0.44 143[2:MRR:97.1,142.0] || vertical_3_3* -> .
% 0.19/0.44 144[2:MRR:95.0,142.0] || vertical_4_3* -> .
% 0.19/0.44 145[2:MRR:93.0,142.0] || horizontal_4_3* -> .
% 0.19/0.44 149[2:MRR:132.2,143.0] || -> vertical_2_3* horizontal_3_2.
% 0.19/0.44 150[2:MRR:27.0,144.0] || -> horizontal_5_2* horizontal_5_3.
% 0.19/0.44 151[2:MRR:133.0,145.0] || -> vertical_4_4 horizontal_4_4*.
% 0.19/0.44 155[3:Spt:28.0] || -> vertical_4_4*.
% 0.19/0.44 156[3:MRR:116.0,155.0] || horizontal_5_3* -> .
% 0.19/0.44 159[3:MRR:150.1,156.0] || -> horizontal_5_2*.
% 0.19/0.44 160[3:MRR:108.1,159.0] || horizontal_5_1* -> .
% 0.19/0.44 163[3:MRR:25.1,160.0] || -> vertical_4_1*.
% 0.19/0.44 164[3:MRR:85.1,163.0] || vertical_3_1* -> .
% 0.19/0.44 165[3:MRR:121.0,164.0] || -> horizontal_3_1*.
% 0.19/0.44 166[3:MRR:67.1,165.0] || vertical_2_2* -> .
% 0.19/0.44 167[3:MRR:63.0,165.0] || horizontal_3_2* -> .
% 0.19/0.44 168[3:MRR:124.0,166.0] || -> horizontal_2_2*.
% 0.19/0.44 169[3:MRR:47.0,168.0] || vertical_2_3* -> .
% 0.19/0.44 170[3:MRR:149.1,167.0] || -> vertical_2_3*.
% 0.19/0.44 171[3:MRR:169.0,170.0] || -> .
% 0.19/0.44 172[3:Spt:171.0,28.0,155.0] || vertical_4_4* -> .
% 0.19/0.44 173[3:Spt:171.0,28.1,28.2] || -> horizontal_5_3* horizontal_5_4.
% 0.19/0.44 174[3:MRR:151.0,172.0] || -> horizontal_4_4*.
% 0.19/0.44 175[3:MRR:104.0,174.0] || vertical_4_5* -> .
% 0.19/0.44 176[3:MRR:29.0,175.0] || -> horizontal_5_4*.
% 0.19/0.44 177[3:MRR:114.1,176.0] || horizontal_5_3* -> .
% 0.19/0.44 178[3:MRR:150.1,177.0] || -> horizontal_5_2*.
% 0.19/0.44 179[3:MRR:108.1,178.0] || horizontal_5_1* -> .
% 0.19/0.44 180[3:MRR:25.1,179.0] || -> vertical_4_1*.
% 0.19/0.44 181[3:MRR:85.1,180.0] || vertical_3_1* -> .
% 0.19/0.44 182[3:MRR:121.0,181.0] || -> horizontal_3_1*.
% 0.19/0.44 183[3:MRR:63.0,182.0] || horizontal_3_2* -> .
% 0.19/0.44 184[3:MRR:149.1,183.0] || -> vertical_2_3*.
% 0.19/0.44 185[3:MRR:67.1,182.0] || vertical_2_2* -> .
% 0.19/0.44 186[3:MRR:124.0,185.0] || -> horizontal_2_2*.
% 0.19/0.44 187[3:MRR:47.0,47.1,186.0,184.0] || -> .
% 0.19/0.44 188[2:Spt:187.0,22.1,142.0] || horizontal_4_2* -> .
% 0.19/0.44 189[2:Spt:187.0,22.0,22.2,22.3] || -> vertical_3_3* vertical_4_3 horizontal_4_3.
% 0.19/0.44 190[2:MRR:21.3,188.0] || -> vertical_3_2* horizontal_4_1 vertical_4_2.
% 0.19/0.44 191[3:Spt:189.0] || -> vertical_3_3*.
% 0.19/0.44 192[3:MRR:96.0,191.0] || vertical_4_3* -> .
% 0.19/0.44 193[3:MRR:94.0,191.0] || horizontal_4_3* -> .
% 0.19/0.44 196[3:MRR:27.0,192.0] || -> horizontal_5_2* horizontal_5_3.
% 0.19/0.44 197[3:MRR:133.0,193.0] || -> vertical_4_4 horizontal_4_4*.
% 0.19/0.44 202[4:Spt:28.0] || -> vertical_4_4*.
% 0.19/0.44 205[4:MRR:116.0,202.0] || horizontal_5_3* -> .
% 0.19/0.44 208[4:MRR:196.1,205.0] || -> horizontal_5_2*.
% 0.19/0.44 209[4:MRR:108.1,208.0] || horizontal_5_1* -> .
% 0.19/0.44 210[4:MRR:109.1,208.0] || vertical_4_2* -> .
% 0.19/0.44 211[4:MRR:25.1,209.0] || -> vertical_4_1*.
% 0.19/0.44 212[4:MRR:85.1,211.0] || vertical_3_1* -> .
% 0.19/0.44 213[4:MRR:83.0,211.0] || horizontal_4_1* -> .
% 0.19/0.44 214[4:MRR:190.2,210.0] || -> vertical_3_2* horizontal_4_1.
% 0.19/0.44 215[4:MRR:121.0,212.0] || -> horizontal_3_1*.
% 0.19/0.44 216[4:MRR:65.0,215.0] || vertical_3_2* -> .
% 0.19/0.44 217[4:MRR:214.1,213.0] || -> vertical_3_2*.
% 0.19/0.44 218[4:MRR:216.0,217.0] || -> .
% 0.19/0.44 219[4:Spt:218.0,28.0,202.0] || vertical_4_4* -> .
% 0.19/0.44 220[4:Spt:218.0,28.1,28.2] || -> horizontal_5_3* horizontal_5_4.
% 0.19/0.44 221[4:MRR:197.0,219.0] || -> horizontal_4_4*.
% 0.19/0.44 222[4:MRR:104.0,221.0] || vertical_4_5* -> .
% 0.19/0.44 223[4:MRR:29.0,222.0] || -> horizontal_5_4*.
% 0.19/0.44 224[4:MRR:114.1,223.0] || horizontal_5_3* -> .
% 0.19/0.44 225[4:MRR:196.1,224.0] || -> horizontal_5_2*.
% 0.19/0.44 226[4:MRR:109.1,225.0] || vertical_4_2* -> .
% 0.19/0.44 227[4:MRR:190.2,226.0] || -> vertical_3_2* horizontal_4_1.
% 0.19/0.44 228[4:MRR:108.1,225.0] || horizontal_5_1* -> .
% 0.19/0.44 229[4:MRR:25.1,228.0] || -> vertical_4_1*.
% 0.19/0.44 230[4:MRR:83.0,229.0] || horizontal_4_1* -> .
% 0.19/0.44 231[4:MRR:227.1,230.0] || -> vertical_3_2*.
% 0.19/0.44 232[4:MRR:85.1,229.0] || vertical_3_1* -> .
% 0.19/0.44 233[4:MRR:121.0,232.0] || -> horizontal_3_1*.
% 0.19/0.44 234[4:MRR:65.0,65.1,233.0,231.0] || -> .
% 0.19/0.44 235[3:Spt:234.0,189.0,191.0] || vertical_3_3* -> .
% 0.19/0.44 236[3:Spt:234.0,189.1,189.2] || -> vertical_4_3 horizontal_4_3*.
% 0.19/0.44 237[3:MRR:132.2,235.0] || -> vertical_2_3* horizontal_3_2.
% 0.19/0.44 245[4:Spt:16.2] || -> vertical_3_2*.
% 0.19/0.44 249[4:MRR:62.0,245.0] || horizontal_3_2* -> .
% 0.19/0.44 250[4:MRR:66.1,245.0] || vertical_2_2* -> .
% 0.19/0.44 256[4:MRR:237.1,249.0] || -> vertical_2_3*.
% 0.19/0.44 257[4:MRR:47.1,256.0] || horizontal_2_2* -> .
% 0.19/0.44 258[4:MRR:124.0,250.0] || -> horizontal_2_2*.
% 0.19/0.44 259[4:MRR:257.0,258.0] || -> .
% 0.19/0.44 260[4:Spt:259.0,16.2,245.0] || vertical_3_2* -> .
% 0.19/0.44 261[4:Spt:259.0,16.0,16.1,16.3] || -> vertical_2_2* horizontal_3_1 horizontal_3_2.
% 0.19/0.44 262[4:MRR:190.0,260.0] || -> horizontal_4_1* vertical_4_2.
% 0.19/0.44 263[5:Spt:261.0] || -> vertical_2_2*.
% 0.19/0.44 264[5:MRR:67.0,263.0] || horizontal_3_1* -> .
% 0.19/0.44 267[5:MRR:121.1,264.0] || -> vertical_3_1*.
% 0.19/0.44 268[5:MRR:84.0,267.0] || horizontal_4_1* -> .
% 0.19/0.44 269[5:MRR:85.0,267.0] || vertical_4_1* -> .
% 0.19/0.44 272[5:MRR:262.0,268.0] || -> vertical_4_2*.
% 0.19/0.44 273[5:MRR:110.0,272.0] || horizontal_5_1* -> .
% 0.19/0.44 274[5:MRR:25.0,269.0] || -> horizontal_5_1*.
% 0.19/0.44 275[5:MRR:273.0,274.0] || -> .
% 0.19/0.44 276[5:Spt:275.0,261.0,263.0] || vertical_2_2* -> .
% 0.19/0.44 277[5:Spt:275.0,261.1,261.2] || -> horizontal_3_1* horizontal_3_2.
% 0.19/0.44 278[5:MRR:124.0,276.0] || -> horizontal_2_2*.
% 0.19/0.44 279[5:MRR:47.0,278.0] || vertical_2_3* -> .
% 0.19/0.44 280[5:MRR:237.0,279.0] || -> horizontal_3_2*.
% 0.19/0.44 281[5:MRR:63.1,280.0] || horizontal_3_1* -> .
% 0.19/0.44 282[5:MRR:121.1,281.0] || -> vertical_3_1*.
% 0.19/0.44 283[5:MRR:85.0,282.0] || vertical_4_1* -> .
% 0.19/0.44 284[5:MRR:84.0,282.0] || horizontal_4_1* -> .
% 0.19/0.44 285[5:MRR:25.0,283.0] || -> horizontal_5_1*.
% 0.19/0.44 286[5:MRR:262.0,284.0] || -> vertical_4_2*.
% 0.19/0.44 287[5:MRR:110.0,110.1,286.0,285.0] || -> .
% 0.19/0.44 288[1:Spt:287.0,18.0,125.0] || vertical_2_4* -> .
% 0.19/0.44 289[1:Spt:287.0,18.1,18.2,18.3] || -> horizontal_3_3* vertical_3_4 horizontal_3_4.
% 0.19/0.44 290[1:MRR:13.2,288.0] || -> vertical_1_4* horizontal_2_3 horizontal_2_4.
% 0.19/0.44 291[2:Spt:289.0] || -> horizontal_3_3*.
% 0.19/0.44 292[2:MRR:77.0,291.0] || vertical_3_4* -> .
% 0.19/0.44 293[2:MRR:75.0,291.0] || horizontal_3_4* -> .
% 0.19/0.44 297[2:MRR:23.0,292.0] || -> horizontal_4_3* vertical_4_4 horizontal_4_4.
% 0.19/0.44 298[2:MRR:19.1,293.0] || -> vertical_2_5* vertical_3_5.
% 0.19/0.44 302[3:Spt:21.0] || -> vertical_3_2*.
% 0.19/0.44 303[3:MRR:66.1,302.0] || vertical_2_2* -> .
% 0.19/0.44 305[3:MRR:65.1,302.0] || horizontal_3_1* -> .
% 0.19/0.44 308[3:MRR:124.0,303.0] || -> horizontal_2_2*.
% 0.19/0.44 309[3:MRR:45.0,308.0] || horizontal_2_3* -> .
% 0.19/0.44 311[3:MRR:121.1,305.0] || -> vertical_3_1*.
% 0.19/0.44 312[3:MRR:85.0,311.0] || vertical_4_1* -> .
% 0.19/0.44 315[3:MRR:290.1,309.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.44 316[3:MRR:25.0,312.0] || -> horizontal_5_1*.
% 0.19/0.44 317[3:MRR:108.0,316.0] || horizontal_5_2* -> .
% 0.19/0.44 318[3:MRR:27.1,317.0] || -> vertical_4_3* horizontal_5_3.
% 0.19/0.44 319[4:Spt:28.0] || -> vertical_4_4*.
% 0.19/0.44 320[4:MRR:115.0,319.0] || horizontal_5_4* -> .
% 0.19/0.44 324[4:MRR:29.1,320.0] || -> vertical_4_5*.
% 0.19/0.44 326[4:MRR:105.1,324.0] || vertical_3_5* -> .
% 0.19/0.44 329[4:MRR:298.1,326.0] || -> vertical_2_5*.
% 0.19/0.44 330[4:MRR:56.1,329.0] || horizontal_2_4* -> .
% 0.19/0.44 331[4:MRR:57.1,329.0] || vertical_1_5* -> .
% 0.19/0.44 332[4:MRR:315.1,330.0] || -> vertical_1_4*.
% 0.19/0.44 333[4:MRR:31.0,332.0] || horizontal_1_4* -> .
% 0.19/0.44 334[4:MRR:9.1,331.0] || -> horizontal_1_4*.
% 0.19/0.44 335[4:MRR:333.0,334.0] || -> .
% 0.19/0.44 336[4:Spt:335.0,28.0,319.0] || vertical_4_4* -> .
% 0.19/0.44 337[4:Spt:335.0,28.1,28.2] || -> horizontal_5_3* horizontal_5_4.
% 0.19/0.44 338[4:MRR:297.1,336.0] || -> horizontal_4_3* horizontal_4_4.
% 0.19/0.44 339[5:Spt:337.0] || -> horizontal_5_3*.
% 0.19/0.44 340[5:MRR:114.0,339.0] || horizontal_5_4* -> .
% 0.19/0.44 342[5:MRR:29.1,340.0] || -> vertical_4_5*.
% 0.19/0.44 343[5:MRR:105.1,342.0] || vertical_3_5* -> .
% 0.19/0.44 347[5:MRR:298.1,343.0] || -> vertical_2_5*.
% 0.19/0.44 348[5:MRR:57.1,347.0] || vertical_1_5* -> .
% 0.19/0.44 349[5:MRR:56.1,347.0] || horizontal_2_4* -> .
% 0.19/0.44 350[5:MRR:9.1,348.0] || -> horizontal_1_4*.
% 0.19/0.44 351[5:MRR:31.1,350.0] || vertical_1_4* -> .
% 0.19/0.44 352[5:MRR:315.1,349.0] || -> vertical_1_4*.
% 0.19/0.44 353[5:MRR:351.0,352.0] || -> .
% 0.19/0.44 354[5:Spt:353.0,337.0,339.0] || horizontal_5_3* -> .
% 0.19/0.44 355[5:Spt:353.0,337.1] || -> horizontal_5_4*.
% 0.19/0.44 356[5:MRR:318.1,354.0] || -> vertical_4_3*.
% 0.19/0.44 359[5:MRR:92.0,356.0] || horizontal_4_3* -> .
% 0.19/0.44 360[5:MRR:338.0,359.0] || -> horizontal_4_4*.
% 0.19/0.44 361[5:MRR:106.1,360.0] || vertical_3_5* -> .
% 0.19/0.44 362[5:MRR:298.1,361.0] || -> vertical_2_5*.
% 0.19/0.44 363[5:MRR:56.1,362.0] || horizontal_2_4* -> .
% 0.19/0.44 364[5:MRR:315.1,363.0] || -> vertical_1_4*.
% 0.19/0.44 365[5:MRR:57.1,362.0] || vertical_1_5* -> .
% 0.19/0.44 366[5:MRR:9.1,365.0] || -> horizontal_1_4*.
% 0.19/0.44 367[5:MRR:31.0,31.1,364.0,366.0] || -> .
% 0.19/0.44 368[3:Spt:367.0,21.0,302.0] || vertical_3_2* -> .
% 0.19/0.44 369[3:Spt:367.0,21.1,21.2,21.3] || -> horizontal_4_1* vertical_4_2 horizontal_4_2.
% 0.19/0.44 371[4:Spt:369.0] || -> horizontal_4_1*.
% 0.19/0.44 372[4:MRR:84.1,371.0] || vertical_3_1* -> .
% 0.19/0.44 374[4:MRR:83.1,371.0] || vertical_4_1* -> .
% 0.19/0.44 376[4:MRR:121.0,372.0] || -> horizontal_3_1*.
% 0.19/0.44 377[4:MRR:67.1,376.0] || vertical_2_2* -> .
% 0.19/0.44 379[4:MRR:25.0,374.0] || -> horizontal_5_1*.
% 0.19/0.44 380[4:MRR:108.0,379.0] || horizontal_5_2* -> .
% 0.19/0.44 382[4:MRR:124.0,377.0] || -> horizontal_2_2*.
% 0.19/0.44 383[4:MRR:45.0,382.0] || horizontal_2_3* -> .
% 0.19/0.44 384[4:MRR:27.1,380.0] || -> vertical_4_3* horizontal_5_3.
% 0.19/0.44 385[4:MRR:290.1,383.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.44 386[5:Spt:24.1] || -> horizontal_4_4*.
% 0.19/0.44 389[5:MRR:106.1,386.0] || vertical_3_5* -> .
% 0.19/0.44 396[5:MRR:298.1,389.0] || -> vertical_2_5*.
% 0.19/0.44 397[5:MRR:56.1,396.0] || horizontal_2_4* -> .
% 0.19/0.44 398[5:MRR:57.1,396.0] || vertical_1_5* -> .
% 0.19/0.44 399[5:MRR:385.1,397.0] || -> vertical_1_4*.
% 0.19/0.44 400[5:MRR:31.0,399.0] || horizontal_1_4* -> .
% 0.19/0.44 401[5:MRR:9.1,398.0] || -> horizontal_1_4*.
% 0.19/0.44 402[5:MRR:400.0,401.0] || -> .
% 0.19/0.44 403[5:Spt:402.0,24.1,386.0] || horizontal_4_4* -> .
% 0.19/0.44 404[5:Spt:402.0,24.0,24.2] || -> vertical_3_5* vertical_4_5.
% 0.19/0.44 405[5:MRR:297.2,403.0] || -> horizontal_4_3* vertical_4_4.
% 0.19/0.44 406[6:Spt:404.0] || -> vertical_3_5*.
% 0.19/0.44 407[6:MRR:105.0,406.0] || vertical_4_5* -> .
% 0.19/0.44 409[6:MRR:29.0,407.0] || -> horizontal_5_4*.
% 0.19/0.44 410[6:MRR:115.1,409.0] || vertical_4_4* -> .
% 0.19/0.44 411[6:MRR:114.1,409.0] || horizontal_5_3* -> .
% 0.19/0.44 413[6:MRR:405.1,410.0] || -> horizontal_4_3*.
% 0.19/0.44 414[6:MRR:92.1,413.0] || vertical_4_3* -> .
% 0.19/0.44 415[6:MRR:384.1,411.0] || -> vertical_4_3*.
% 0.19/0.44 416[6:MRR:414.0,415.0] || -> .
% 0.19/0.44 417[6:Spt:416.0,404.0,406.0] || vertical_3_5* -> .
% 0.19/0.44 418[6:Spt:416.0,404.1] || -> vertical_4_5*.
% 0.19/0.44 419[6:MRR:298.1,417.0] || -> vertical_2_5*.
% 0.19/0.44 422[6:MRR:57.1,419.0] || vertical_1_5* -> .
% 0.19/0.44 423[6:MRR:9.1,422.0] || -> horizontal_1_4*.
% 0.19/0.44 424[6:MRR:31.1,423.0] || vertical_1_4* -> .
% 0.19/0.44 425[6:MRR:385.0,424.0] || -> horizontal_2_4*.
% 0.19/0.44 426[6:MRR:56.0,56.1,425.0,419.0] || -> .
% 0.19/0.44 427[4:Spt:426.0,369.0,371.0] || horizontal_4_1* -> .
% 0.19/0.44 428[4:Spt:426.0,369.1,369.2] || -> vertical_4_2 horizontal_4_2*.
% 0.19/0.44 430[5:Spt:428.0] || -> vertical_4_2*.
% 0.19/0.44 431[5:MRR:110.0,430.0] || horizontal_5_1* -> .
% 0.19/0.44 432[5:MRR:109.0,430.0] || horizontal_5_2* -> .
% 0.19/0.44 434[5:MRR:25.1,431.0] || -> vertical_4_1*.
% 0.19/0.44 435[5:MRR:85.1,434.0] || vertical_3_1* -> .
% 0.19/0.44 436[5:MRR:27.1,432.0] || -> vertical_4_3* horizontal_5_3.
% 0.19/0.44 438[5:MRR:121.0,435.0] || -> horizontal_3_1*.
% 0.19/0.44 439[5:MRR:67.1,438.0] || vertical_2_2* -> .
% 0.19/0.44 440[5:MRR:124.0,439.0] || -> horizontal_2_2*.
% 0.19/0.44 441[5:MRR:45.0,440.0] || horizontal_2_3* -> .
% 0.19/0.44 442[5:MRR:290.1,441.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.44 443[6:Spt:14.0] || -> vertical_1_5*.
% 0.19/0.44 444[6:MRR:57.0,443.0] || vertical_2_5* -> .
% 0.19/0.44 447[6:MRR:298.0,444.0] || -> vertical_3_5*.
% 0.19/0.44 448[6:MRR:105.0,447.0] || vertical_4_5* -> .
% 0.19/0.44 449[6:MRR:106.0,447.0] || horizontal_4_4* -> .
% 0.19/0.44 452[6:MRR:29.0,448.0] || -> horizontal_5_4*.
% 0.19/0.44 453[6:MRR:114.1,452.0] || horizontal_5_3* -> .
% 0.19/0.44 454[6:MRR:115.1,452.0] || vertical_4_4* -> .
% 0.19/0.44 455[6:MRR:297.2,449.0] || -> horizontal_4_3* vertical_4_4.
% 0.19/0.44 456[6:MRR:436.1,453.0] || -> vertical_4_3*.
% 0.19/0.44 457[6:MRR:92.0,456.0] || horizontal_4_3* -> .
% 0.19/0.44 458[6:MRR:455.1,454.0] || -> horizontal_4_3*.
% 0.19/0.44 459[6:MRR:457.0,458.0] || -> .
% 0.19/0.44 460[6:Spt:459.0,14.0,443.0] || vertical_1_5* -> .
% 0.19/0.44 461[6:Spt:459.0,14.1,14.2] || -> horizontal_2_4* vertical_2_5.
% 0.19/0.44 462[6:MRR:9.1,460.0] || -> horizontal_1_4*.
% 0.19/0.44 463[6:MRR:31.1,462.0] || vertical_1_4* -> .
% 0.19/0.44 464[6:MRR:442.0,463.0] || -> horizontal_2_4*.
% 0.19/0.44 465[6:MRR:56.0,464.0] || vertical_2_5* -> .
% 0.19/0.44 466[6:MRR:298.0,465.0] || -> vertical_3_5*.
% 0.19/0.44 467[6:MRR:106.0,466.0] || horizontal_4_4* -> .
% 0.19/0.44 468[6:MRR:105.0,466.0] || vertical_4_5* -> .
% 0.19/0.44 469[6:MRR:297.2,467.0] || -> horizontal_4_3* vertical_4_4.
% 0.19/0.44 470[6:MRR:29.0,468.0] || -> horizontal_5_4*.
% 0.19/0.44 471[6:MRR:115.1,470.0] || vertical_4_4* -> .
% 0.19/0.44 472[6:MRR:469.1,471.0] || -> horizontal_4_3*.
% 0.19/0.44 473[6:MRR:114.1,470.0] || horizontal_5_3* -> .
% 0.19/0.44 474[6:MRR:436.1,473.0] || -> vertical_4_3*.
% 0.19/0.44 475[6:MRR:92.0,92.1,474.0,472.0] || -> .
% 0.19/0.44 476[5:Spt:475.0,428.0,430.0] || vertical_4_2* -> .
% 0.19/0.44 477[5:Spt:475.0,428.1] || -> horizontal_4_2*.
% 0.19/0.44 479[5:MRR:93.0,477.0] || horizontal_4_3* -> .
% 0.19/0.44 480[5:MRR:297.0,479.0] || -> vertical_4_4 horizontal_4_4*.
% 0.19/0.44 481[5:MRR:95.0,477.0] || vertical_4_3* -> .
% 0.19/0.44 482[5:MRR:27.0,481.0] || -> horizontal_5_2* horizontal_5_3.
% 0.19/0.44 483[6:Spt:24.0] || -> vertical_3_5*.
% 0.19/0.44 485[6:MRR:105.0,483.0] || vertical_4_5* -> .
% 0.19/0.44 486[6:MRR:106.0,483.0] || horizontal_4_4* -> .
% 0.19/0.44 488[6:MRR:29.0,485.0] || -> horizontal_5_4*.
% 0.19/0.44 489[6:MRR:115.1,488.0] || vertical_4_4* -> .
% 0.19/0.44 491[6:MRR:480.1,486.0] || -> vertical_4_4*.
% 0.19/0.44 493[6:MRR:489.0,491.0] || -> .
% 0.19/0.44 503[6:Spt:493.0,24.0,483.0] || vertical_3_5* -> .
% 0.19/0.44 504[6:Spt:493.0,24.1,24.2] || -> horizontal_4_4* vertical_4_5.
% 0.19/0.44 505[6:MRR:298.1,503.0] || -> vertical_2_5*.
% 0.19/0.44 506[6:MRR:57.1,505.0] || vertical_1_5* -> .
% 0.19/0.44 507[6:MRR:9.1,506.0] || -> horizontal_1_4*.
% 0.19/0.44 508[6:MRR:31.1,507.0] || vertical_1_4* -> .
% 0.19/0.44 509[6:MRR:290.0,508.0] || -> horizontal_2_3* horizontal_2_4.
% 0.19/0.44 510[6:MRR:56.1,505.0] || horizontal_2_4* -> .
% 0.19/0.44 511[6:MRR:509.1,510.0] || -> horizontal_2_3*.
% 0.19/0.44 512[6:MRR:45.1,511.0] || horizontal_2_2* -> .
% 0.19/0.44 513[6:MRR:124.1,512.0] || -> vertical_2_2*.
% 0.19/0.44 514[6:MRR:67.0,513.0] || horizontal_3_1* -> .
% 0.19/0.44 515[6:MRR:121.1,514.0] || -> vertical_3_1*.
% 0.19/0.44 516[6:MRR:85.0,515.0] || vertical_4_1* -> .
% 0.19/0.44 517[6:MRR:25.0,516.0] || -> horizontal_5_1*.
% 0.19/0.44 518[6:MRR:108.0,517.0] || horizontal_5_2* -> .
% 0.19/0.44 519[6:MRR:482.0,518.0] || -> horizontal_5_3*.
% 0.19/0.44 520[6:MRR:114.0,519.0] || horizontal_5_4* -> .
% 0.19/0.44 521[6:MRR:116.1,519.0] || vertical_4_4* -> .
% 0.19/0.44 522[6:MRR:29.1,520.0] || -> vertical_4_5*.
% 0.19/0.44 523[6:MRR:104.1,522.0] || horizontal_4_4* -> .
% 0.19/0.44 524[6:MRR:480.0,521.0] || -> horizontal_4_4*.
% 0.19/0.44 525[6:MRR:523.0,524.0] || -> .
% 0.19/0.44 526[2:Spt:525.0,289.0,291.0] || horizontal_3_3* -> .
% 0.19/0.44 527[2:Spt:525.0,289.1,289.2] || -> vertical_3_4 horizontal_3_4*.
% 0.19/0.44 528[2:MRR:17.3,526.0] || -> vertical_2_3* horizontal_3_2 vertical_3_3.
% 0.19/0.44 529[3:Spt:527.0] || -> vertical_3_4*.
% 0.19/0.44 533[3:MRR:74.0,529.0] || horizontal_3_4* -> .
% 0.19/0.44 537[3:MRR:19.1,533.0] || -> vertical_2_5* vertical_3_5.
% 0.19/0.44 538[4:Spt:21.0] || -> vertical_3_2*.
% 0.19/0.44 541[4:MRR:65.1,538.0] || horizontal_3_1* -> .
% 0.19/0.44 543[4:MRR:66.1,538.0] || vertical_2_2* -> .
% 0.19/0.44 544[4:MRR:62.0,538.0] || horizontal_3_2* -> .
% 0.19/0.44 547[4:MRR:121.1,541.0] || -> vertical_3_1*.
% 0.19/0.44 548[4:MRR:85.0,547.0] || vertical_4_1* -> .
% 0.19/0.44 550[4:MRR:124.0,543.0] || -> horizontal_2_2*.
% 0.19/0.44 551[4:MRR:45.0,550.0] || horizontal_2_3* -> .
% 0.19/0.44 552[4:MRR:47.0,550.0] || vertical_2_3* -> .
% 0.19/0.44 553[4:MRR:528.1,544.0] || -> vertical_2_3* vertical_3_3.
% 0.19/0.44 554[4:MRR:25.0,548.0] || -> horizontal_5_1*.
% 0.19/0.44 555[4:MRR:108.0,554.0] || horizontal_5_2* -> .
% 0.19/0.44 556[4:MRR:290.1,551.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.44 557[4:MRR:553.0,552.0] || -> vertical_3_3*.
% 0.19/0.44 558[4:MRR:96.0,557.0] || vertical_4_3* -> .
% 0.19/0.44 559[4:MRR:27.1,555.0] || -> vertical_4_3* horizontal_5_3.
% 0.19/0.44 560[4:MRR:559.0,558.0] || -> horizontal_5_3*.
% 0.19/0.44 561[4:MRR:114.0,560.0] || horizontal_5_4* -> .
% 0.19/0.44 562[4:MRR:29.1,561.0] || -> vertical_4_5*.
% 0.19/0.44 563[4:MRR:105.1,562.0] || vertical_3_5* -> .
% 0.19/0.44 564[4:MRR:537.1,563.0] || -> vertical_2_5*.
% 0.19/0.44 565[4:MRR:57.1,564.0] || vertical_1_5* -> .
% 0.19/0.44 566[4:MRR:56.1,564.0] || horizontal_2_4* -> .
% 0.19/0.44 567[4:MRR:9.1,565.0] || -> horizontal_1_4*.
% 0.19/0.44 568[4:MRR:31.1,567.0] || vertical_1_4* -> .
% 0.19/0.44 569[4:MRR:556.1,566.0] || -> vertical_1_4*.
% 0.19/0.44 570[4:MRR:568.0,569.0] || -> .
% 0.19/0.44 571[4:Spt:570.0,21.0,538.0] || vertical_3_2* -> .
% 0.19/0.44 572[4:Spt:570.0,21.1,21.2,21.3] || -> horizontal_4_1* vertical_4_2 horizontal_4_2.
% 0.19/0.44 574[5:Spt:572.0] || -> horizontal_4_1*.
% 0.19/0.44 577[5:MRR:84.1,574.0] || vertical_3_1* -> .
% 0.19/0.44 578[5:MRR:83.1,574.0] || vertical_4_1* -> .
% 0.19/0.44 581[5:MRR:121.0,577.0] || -> horizontal_3_1*.
% 0.19/0.44 582[5:MRR:67.1,581.0] || vertical_2_2* -> .
% 0.19/0.44 583[5:MRR:63.0,581.0] || horizontal_3_2* -> .
% 0.19/0.44 584[5:MRR:25.0,578.0] || -> horizontal_5_1*.
% 0.19/0.44 585[5:MRR:108.0,584.0] || horizontal_5_2* -> .
% 0.19/0.44 586[5:MRR:124.0,582.0] || -> horizontal_2_2*.
% 0.19/0.44 587[5:MRR:47.0,586.0] || vertical_2_3* -> .
% 0.19/0.44 588[5:MRR:45.0,586.0] || horizontal_2_3* -> .
% 0.19/0.44 589[5:MRR:528.1,583.0] || -> vertical_2_3* vertical_3_3.
% 0.19/0.44 590[5:MRR:27.1,585.0] || -> vertical_4_3* horizontal_5_3.
% 0.19/0.44 591[5:MRR:290.1,588.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.44 592[5:MRR:589.0,587.0] || -> vertical_3_3*.
% 0.19/0.44 593[5:MRR:96.0,592.0] || vertical_4_3* -> .
% 0.19/0.44 594[5:MRR:590.0,593.0] || -> horizontal_5_3*.
% 0.19/0.44 595[5:MRR:114.0,594.0] || horizontal_5_4* -> .
% 0.19/0.44 596[5:MRR:29.1,595.0] || -> vertical_4_5*.
% 0.19/0.44 597[5:MRR:105.1,596.0] || vertical_3_5* -> .
% 0.19/0.44 598[5:MRR:537.1,597.0] || -> vertical_2_5*.
% 0.19/0.44 599[5:MRR:56.1,598.0] || horizontal_2_4* -> .
% 0.19/0.44 600[5:MRR:57.1,598.0] || vertical_1_5* -> .
% 0.19/0.44 601[5:MRR:591.1,599.0] || -> vertical_1_4*.
% 0.19/0.44 602[5:MRR:31.0,601.0] || horizontal_1_4* -> .
% 0.19/0.44 603[5:MRR:9.1,600.0] || -> horizontal_1_4*.
% 0.19/0.44 604[5:MRR:602.0,603.0] || -> .
% 0.19/0.44 605[5:Spt:604.0,572.0,574.0] || horizontal_4_1* -> .
% 0.19/0.44 606[5:Spt:604.0,572.1,572.2] || -> vertical_4_2 horizontal_4_2*.
% 0.19/0.44 608[6:Spt:606.0] || -> vertical_4_2*.
% 0.19/0.44 610[6:MRR:109.0,608.0] || horizontal_5_2* -> .
% 0.19/0.44 611[6:MRR:110.0,608.0] || horizontal_5_1* -> .
% 0.19/0.44 613[6:MRR:27.1,610.0] || -> vertical_4_3* horizontal_5_3.
% 0.19/0.44 614[6:MRR:25.1,611.0] || -> vertical_4_1*.
% 0.19/0.44 615[6:MRR:85.1,614.0] || vertical_3_1* -> .
% 0.19/0.44 616[6:MRR:121.0,615.0] || -> horizontal_3_1*.
% 0.19/0.44 617[6:MRR:63.0,616.0] || horizontal_3_2* -> .
% 0.19/0.44 618[6:MRR:67.1,616.0] || vertical_2_2* -> .
% 0.19/0.44 619[6:MRR:528.1,617.0] || -> vertical_2_3* vertical_3_3.
% 0.19/0.44 620[6:MRR:124.0,618.0] || -> horizontal_2_2*.
% 0.19/0.44 621[6:MRR:45.0,620.0] || horizontal_2_3* -> .
% 0.19/0.44 622[6:MRR:47.0,620.0] || vertical_2_3* -> .
% 0.19/0.44 623[6:MRR:290.1,621.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.44 624[6:MRR:619.0,622.0] || -> vertical_3_3*.
% 0.19/0.44 625[6:MRR:96.0,624.0] || vertical_4_3* -> .
% 0.19/0.44 626[6:MRR:613.0,625.0] || -> horizontal_5_3*.
% 0.19/0.45 627[6:MRR:114.0,626.0] || horizontal_5_4* -> .
% 0.19/0.45 628[6:MRR:29.1,627.0] || -> vertical_4_5*.
% 0.19/0.45 629[6:MRR:105.1,628.0] || vertical_3_5* -> .
% 0.19/0.45 630[6:MRR:537.1,629.0] || -> vertical_2_5*.
% 0.19/0.45 631[6:MRR:57.1,630.0] || vertical_1_5* -> .
% 0.19/0.45 632[6:MRR:56.1,630.0] || horizontal_2_4* -> .
% 0.19/0.45 633[6:MRR:9.1,631.0] || -> horizontal_1_4*.
% 0.19/0.45 634[6:MRR:31.1,633.0] || vertical_1_4* -> .
% 0.19/0.45 635[6:MRR:623.1,632.0] || -> vertical_1_4*.
% 0.19/0.45 636[6:MRR:634.0,635.0] || -> .
% 0.19/0.45 637[6:Spt:636.0,606.0,608.0] || vertical_4_2* -> .
% 0.19/0.45 638[6:Spt:636.0,606.1] || -> horizontal_4_2*.
% 0.19/0.45 640[6:MRR:95.0,638.0] || vertical_4_3* -> .
% 0.19/0.45 641[6:MRR:27.0,640.0] || -> horizontal_5_2* horizontal_5_3.
% 0.19/0.45 642[6:MRR:97.1,638.0] || vertical_3_3* -> .
% 0.19/0.45 643[6:MRR:528.2,642.0] || -> vertical_2_3* horizontal_3_2.
% 0.19/0.45 644[7:Spt:123.2] || -> horizontal_2_3*.
% 0.19/0.45 645[7:MRR:45.1,644.0] || horizontal_2_2* -> .
% 0.19/0.45 646[7:MRR:44.1,644.0] || vertical_2_3* -> .
% 0.19/0.45 649[7:MRR:124.1,645.0] || -> vertical_2_2*.
% 0.19/0.45 651[7:MRR:64.0,649.0] || horizontal_3_2* -> .
% 0.19/0.45 652[7:MRR:643.0,646.0] || -> horizontal_3_2*.
% 0.19/0.45 659[7:MRR:651.0,652.0] || -> .
% 0.19/0.45 668[7:Spt:659.0,123.2,644.0] || horizontal_2_3* -> .
% 0.19/0.45 669[7:Spt:659.0,123.0,123.1] || -> horizontal_2_2* vertical_2_3.
% 0.19/0.45 670[7:MRR:290.1,668.0] || -> vertical_1_4* horizontal_2_4.
% 0.19/0.45 671[8:Spt:669.0] || -> horizontal_2_2*.
% 0.19/0.45 673[8:MRR:47.0,671.0] || vertical_2_3* -> .
% 0.19/0.45 675[8:MRR:643.0,673.0] || -> horizontal_3_2*.
% 0.19/0.45 676[8:MRR:63.1,675.0] || horizontal_3_1* -> .
% 0.19/0.45 677[8:MRR:121.1,676.0] || -> vertical_3_1*.
% 0.19/0.45 678[8:MRR:85.0,677.0] || vertical_4_1* -> .
% 0.19/0.45 679[8:MRR:25.0,678.0] || -> horizontal_5_1*.
% 0.19/0.45 680[8:MRR:108.0,679.0] || horizontal_5_2* -> .
% 0.19/0.45 681[8:MRR:641.0,680.0] || -> horizontal_5_3*.
% 0.19/0.45 682[8:MRR:114.0,681.0] || horizontal_5_4* -> .
% 0.19/0.45 683[8:MRR:29.1,682.0] || -> vertical_4_5*.
% 0.19/0.45 684[8:MRR:105.1,683.0] || vertical_3_5* -> .
% 0.19/0.45 685[8:MRR:537.1,684.0] || -> vertical_2_5*.
% 0.19/0.45 686[8:MRR:56.1,685.0] || horizontal_2_4* -> .
% 0.19/0.45 687[8:MRR:57.1,685.0] || vertical_1_5* -> .
% 0.19/0.45 688[8:MRR:670.1,686.0] || -> vertical_1_4*.
% 0.19/0.45 689[8:MRR:31.0,688.0] || horizontal_1_4* -> .
% 0.19/0.45 690[8:MRR:9.1,687.0] || -> horizontal_1_4*.
% 0.19/0.45 691[8:MRR:689.0,690.0] || -> .
% 0.19/0.45 692[8:Spt:691.0,669.0,671.0] || horizontal_2_2* -> .
% 0.19/0.45 693[8:Spt:691.0,669.1] || -> vertical_2_3*.
% 0.19/0.45 694[8:MRR:124.1,692.0] || -> vertical_2_2*.
% 0.19/0.45 696[8:MRR:67.0,694.0] || horizontal_3_1* -> .
% 0.19/0.45 697[8:MRR:121.1,696.0] || -> vertical_3_1*.
% 0.19/0.45 698[8:MRR:85.0,697.0] || vertical_4_1* -> .
% 0.19/0.45 699[8:MRR:25.0,698.0] || -> horizontal_5_1*.
% 0.19/0.45 700[8:MRR:108.0,699.0] || horizontal_5_2* -> .
% 0.19/0.45 701[8:MRR:641.0,700.0] || -> horizontal_5_3*.
% 0.19/0.45 702[8:MRR:114.0,701.0] || horizontal_5_4* -> .
% 0.19/0.45 703[8:MRR:29.1,702.0] || -> vertical_4_5*.
% 0.19/0.45 704[8:MRR:105.1,703.0] || vertical_3_5* -> .
% 0.19/0.45 705[8:MRR:537.1,704.0] || -> vertical_2_5*.
% 0.19/0.45 706[8:MRR:57.1,705.0] || vertical_1_5* -> .
% 0.19/0.45 707[8:MRR:9.1,706.0] || -> horizontal_1_4*.
% 0.19/0.45 708[8:MRR:56.1,705.0] || horizontal_2_4* -> .
% 0.19/0.45 709[8:MRR:670.1,708.0] || -> vertical_1_4*.
% 0.19/0.45 710[8:MRR:31.0,31.1,709.0,707.0] || -> .
% 0.19/0.45 711[3:Spt:710.0,527.0,529.0] || vertical_3_4* -> .
% 0.19/0.45 712[3:Spt:710.0,527.1] || -> horizontal_3_4*.
% 0.19/0.45 713[3:MRR:23.0,711.0] || -> horizontal_4_3* vertical_4_4 horizontal_4_4.
% 0.19/0.45 718[4:Spt:22.1] || -> horizontal_4_2*.
% 0.19/0.45 720[4:MRR:95.0,718.0] || vertical_4_3* -> .
% 0.19/0.45 721[4:MRR:97.1,718.0] || vertical_3_3* -> .
% 0.19/0.45 724[4:MRR:93.0,718.0] || horizontal_4_3* -> .
% 0.19/0.45 726[4:MRR:27.0,720.0] || -> horizontal_5_2* horizontal_5_3.
% 0.19/0.45 727[4:MRR:528.2,721.0] || -> vertical_2_3* horizontal_3_2.
% 0.19/0.45 730[4:MRR:713.0,724.0] || -> vertical_4_4 horizontal_4_4*.
% 0.19/0.45 731[5:Spt:123.2] || -> horizontal_2_3*.
% 0.19/0.45 734[5:MRR:44.1,731.0] || vertical_2_3* -> .
% 0.19/0.45 739[5:MRR:727.0,734.0] || -> horizontal_3_2*.
% 0.19/0.45 741[5:MRR:63.1,739.0] || horizontal_3_1* -> .
% 0.19/0.45 746[5:MRR:121.1,741.0] || -> vertical_3_1*.
% 0.19/0.45 747[5:MRR:85.0,746.0] || vertical_4_1* -> .
% 0.19/0.45 748[5:MRR:25.0,747.0] || -> horizontal_5_1*.
% 0.19/0.45 749[5:MRR:108.0,748.0] || horizontal_5_2* -> .
% 0.19/0.45 750[5:MRR:726.0,749.0] || -> horizontal_5_3*.
% 0.19/0.45 751[5:MRR:114.0,750.0] || horizontal_5_4* -> .
% 0.19/0.45 752[5:MRR:116.1,750.0] || vertical_4_4* -> .
% 0.19/0.45 753[5:MRR:29.1,751.0] || -> vertical_4_5*.
% 0.19/0.45 754[5:MRR:104.1,753.0] || horizontal_4_4* -> .
% 0.19/0.45 755[5:MRR:730.0,752.0] || -> horizontal_4_4*.
% 0.19/0.45 756[5:MRR:754.0,755.0] || -> .
% 0.19/0.45 757[5:Spt:756.0,123.2,731.0] || horizontal_2_3* -> .
% 0.19/0.45 758[5:Spt:756.0,123.0,123.1] || -> horizontal_2_2* vertical_2_3.
% 0.19/0.45 760[6:Spt:758.0] || -> horizontal_2_2*.
% 0.19/0.45 761[6:MRR:47.0,760.0] || vertical_2_3* -> .
% 0.19/0.45 763[6:MRR:727.0,761.0] || -> horizontal_3_2*.
% 0.19/0.45 764[6:MRR:63.1,763.0] || horizontal_3_1* -> .
% 0.19/0.45 766[6:MRR:121.1,764.0] || -> vertical_3_1*.
% 0.19/0.45 767[6:MRR:85.0,766.0] || vertical_4_1* -> .
% 0.19/0.45 768[6:MRR:25.0,767.0] || -> horizontal_5_1*.
% 0.19/0.45 769[6:MRR:108.0,768.0] || horizontal_5_2* -> .
% 0.19/0.45 770[6:MRR:726.0,769.0] || -> horizontal_5_3*.
% 0.19/0.45 771[6:MRR:116.1,770.0] || vertical_4_4* -> .
% 0.19/0.45 772[6:MRR:114.0,770.0] || horizontal_5_4* -> .
% 0.19/0.45 773[6:MRR:730.0,771.0] || -> horizontal_4_4*.
% 0.19/0.45 774[6:MRR:104.0,773.0] || vertical_4_5* -> .
% 0.19/0.45 775[6:MRR:29.1,772.0] || -> vertical_4_5*.
% 0.19/0.45 776[6:MRR:774.0,775.0] || -> .
% 0.19/0.45 777[6:Spt:776.0,758.0,760.0] || horizontal_2_2* -> .
% 0.19/0.45 778[6:Spt:776.0,758.1] || -> vertical_2_3*.
% 0.19/0.45 779[6:MRR:124.1,777.0] || -> vertical_2_2*.
% 0.19/0.45 781[6:MRR:67.0,779.0] || horizontal_3_1* -> .
% 0.19/0.45 782[6:MRR:121.1,781.0] || -> vertical_3_1*.
% 0.19/0.45 783[6:MRR:85.0,782.0] || vertical_4_1* -> .
% 0.19/0.45 784[6:MRR:25.0,783.0] || -> horizontal_5_1*.
% 0.19/0.45 785[6:MRR:108.0,784.0] || horizontal_5_2* -> .
% 0.19/0.45 786[6:MRR:726.0,785.0] || -> horizontal_5_3*.
% 0.19/0.45 787[6:MRR:114.0,786.0] || horizontal_5_4* -> .
% 0.19/0.45 788[6:MRR:29.1,787.0] || -> vertical_4_5*.
% 0.19/0.45 789[6:MRR:116.1,786.0] || vertical_4_4* -> .
% 0.19/0.45 790[6:MRR:730.0,789.0] || -> horizontal_4_4*.
% 0.19/0.45 791[6:MRR:104.0,104.1,790.0,788.0] || -> .
% 0.19/0.45 792[4:Spt:791.0,22.1,718.0] || horizontal_4_2* -> .
% 0.19/0.45 793[4:Spt:791.0,22.0,22.2,22.3] || -> vertical_3_3* vertical_4_3 horizontal_4_3.
% 0.19/0.45 794[4:MRR:21.3,792.0] || -> vertical_3_2* horizontal_4_1 vertical_4_2.
% 0.19/0.45 795[5:Spt:793.0] || -> vertical_3_3*.
% 0.19/0.45 796[5:MRR:96.0,795.0] || vertical_4_3* -> .
% 0.19/0.45 799[5:MRR:94.0,795.0] || horizontal_4_3* -> .
% 0.19/0.45 800[5:MRR:27.0,796.0] || -> horizontal_5_2* horizontal_5_3.
% 0.19/0.45 803[5:MRR:713.0,799.0] || -> vertical_4_4 horizontal_4_4*.
% 0.19/0.45 804[6:Spt:28.0] || -> vertical_4_4*.
% 0.19/0.45 805[6:MRR:116.0,804.0] || horizontal_5_3* -> .
% 0.19/0.45 808[6:MRR:800.1,805.0] || -> horizontal_5_2*.
% 0.19/0.45 809[6:MRR:108.1,808.0] || horizontal_5_1* -> .
% 0.19/0.45 810[6:MRR:109.1,808.0] || vertical_4_2* -> .
% 0.19/0.45 813[6:MRR:25.1,809.0] || -> vertical_4_1*.
% 0.19/0.45 814[6:MRR:85.1,813.0] || vertical_3_1* -> .
% 0.19/0.45 815[6:MRR:83.0,813.0] || horizontal_4_1* -> .
% 0.19/0.45 816[6:MRR:794.2,810.0] || -> vertical_3_2* horizontal_4_1.
% 0.19/0.45 817[6:MRR:121.0,814.0] || -> horizontal_3_1*.
% 0.19/0.45 819[6:MRR:65.0,817.0] || vertical_3_2* -> .
% 0.19/0.45 820[6:MRR:816.1,815.0] || -> vertical_3_2*.
% 0.19/0.45 824[6:MRR:819.0,820.0] || -> .
% 0.19/0.45 826[6:Spt:824.0,28.0,804.0] || vertical_4_4* -> .
% 0.19/0.45 827[6:Spt:824.0,28.1,28.2] || -> horizontal_5_3* horizontal_5_4.
% 0.19/0.45 828[6:MRR:803.0,826.0] || -> horizontal_4_4*.
% 0.19/0.45 829[6:MRR:104.0,828.0] || vertical_4_5* -> .
% 0.19/0.45 830[6:MRR:29.0,829.0] || -> horizontal_5_4*.
% 0.19/0.45 831[6:MRR:114.1,830.0] || horizontal_5_3* -> .
% 0.19/0.45 832[6:MRR:800.1,831.0] || -> horizontal_5_2*.
% 0.19/0.45 833[6:MRR:109.1,832.0] || vertical_4_2* -> .
% 0.19/0.45 834[6:MRR:108.1,832.0] || horizontal_5_1* -> .
% 0.19/0.45 835[6:MRR:794.2,833.0] || -> vertical_3_2* horizontal_4_1.
% 0.19/0.45 836[6:MRR:25.1,834.0] || -> vertical_4_1*.
% 0.19/0.45 837[6:MRR:83.0,836.0] || horizontal_4_1* -> .
% 0.19/0.45 838[6:MRR:835.1,837.0] || -> vertical_3_2*.
% 0.19/0.45 839[6:MRR:85.1,836.0] || vertical_3_1* -> .
% 0.19/0.45 840[6:MRR:121.0,839.0] || -> horizontal_3_1*.
% 0.19/0.45 841[6:MRR:65.0,65.1,840.0,838.0] || -> .
% 0.19/0.45 846[5:Spt:841.0,793.0,795.0] || vertical_3_3* -> .
% 0.19/0.45 847[5:Spt:841.0,793.1,793.2] || -> vertical_4_3 horizontal_4_3*.
% 0.19/0.45 848[5:MRR:528.2,846.0] || -> vertical_2_3* horizontal_3_2.
% 0.19/0.45 856[6:Spt:16.2] || -> vertical_3_2*.
% 0.19/0.45 860[6:MRR:66.1,856.0] || vertical_2_2* -> .
% 0.19/0.45 861[6:MRR:62.0,856.0] || horizontal_3_2* -> .
% 0.19/0.45 867[6:MRR:124.0,860.0] || -> horizontal_2_2*.
% 0.19/0.45 869[6:MRR:47.0,867.0] || vertical_2_3* -> .
% 0.19/0.45 870[6:MRR:848.1,861.0] || -> vertical_2_3*.
% 0.19/0.45 873[6:MRR:869.0,870.0] || -> .
% 0.19/0.45 874[6:Spt:873.0,16.2,856.0] || vertical_3_2* -> .
% 0.19/0.45 875[6:Spt:873.0,16.0,16.1,16.3] || -> vertical_2_2* horizontal_3_1 horizontal_3_2.
% 0.19/0.45 876[6:MRR:794.0,874.0] || -> horizontal_4_1* vertical_4_2.
% 0.19/0.45 877[7:Spt:875.0] || -> vertical_2_2*.
% 0.19/0.45 878[7:MRR:67.0,877.0] || horizontal_3_1* -> .
% 0.19/0.45 881[7:MRR:121.1,878.0] || -> vertical_3_1*.
% 0.19/0.45 882[7:MRR:84.0,881.0] || horizontal_4_1* -> .
% 0.19/0.45 883[7:MRR:85.0,881.0] || vertical_4_1* -> .
% 0.19/0.45 887[7:MRR:876.0,882.0] || -> vertical_4_2*.
% 0.19/0.45 888[7:MRR:110.0,887.0] || horizontal_5_1* -> .
% 0.19/0.45 889[7:MRR:25.0,883.0] || -> horizontal_5_1*.
% 0.19/0.45 891[7:MRR:888.0,889.0] || -> .
% 0.19/0.45 892[7:Spt:891.0,875.0,877.0] || vertical_2_2* -> .
% 0.19/0.45 893[7:Spt:891.0,875.1,875.2] || -> horizontal_3_1* horizontal_3_2.
% 0.19/0.45 894[7:MRR:124.0,892.0] || -> horizontal_2_2*.
% 0.19/0.45 895[7:MRR:47.0,894.0] || vertical_2_3* -> .
% 0.19/0.45 896[7:MRR:848.0,895.0] || -> horizontal_3_2*.
% 0.19/0.45 897[7:MRR:63.1,896.0] || horizontal_3_1* -> .
% 0.19/0.45 898[7:MRR:121.1,897.0] || -> vertical_3_1*.
% 0.19/0.45 899[7:MRR:85.0,898.0] || vertical_4_1* -> .
% 0.19/0.45 900[7:MRR:84.0,898.0] || horizontal_4_1* -> .
% 0.19/0.45 901[7:MRR:25.0,899.0] || -> horizontal_5_1*.
% 0.19/0.45 902[7:MRR:876.0,900.0] || -> vertical_4_2*.
% 0.19/0.45 905[7:MRR:110.0,110.1,902.0,901.0] || -> .
% 0.19/0.45 % SZS output end Refutation
% 0.19/0.45 Formulae used in the proof : uncovered2_1_2 uncovered2_1_3 uncovered3_1_2 covered_1_1 covered_1_5 covered_2_2 covered_2_3 covered_2_4 covered_2_5 covered_3_1 covered_3_2 covered_3_3 covered_3_4 covered_3_5 covered_4_2 covered_4_3 covered_4_4 covered_4_5 covered_5_1 covered_5_3 covered_5_4 covered_5_5 unique_cover1_1_4 unique_cover3_2_1 unique_cover5_2_1 unique_cover1_2_3 unique_cover2_2_3 unique_cover4_2_3 unique_cover4_2_5 unique_cover5_2_5 unique_cover1_3_2 unique_cover2_3_2 unique_cover3_3_2 unique_cover4_3_2 unique_cover5_3_2 unique_cover6_3_2 unique_cover1_3_4 unique_cover2_3_4 unique_cover4_3_4 unique_cover5_3_4 unique_cover6_3_4 unique_cover1_4_1 unique_cover3_4_1 unique_cover5_4_1 unique_cover1_4_3 unique_cover2_4_3 unique_cover3_4_3 unique_cover4_4_3 unique_cover5_4_3 unique_cover6_4_3 unique_cover4_4_5 unique_cover5_4_5 unique_cover6_4_5 unique_cover2_5_2 unique_cover3_5_2 unique_cover6_5_2 unique_cover2_5_4 unique_cover3_5_4 unique_cover6_5_4
% 0.19/0.45
%------------------------------------------------------------------------------