TSTP Solution File: PUZ030-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 18:27:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 19:55:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42
% 0.18/0.42 SPASS V 3.9
% 0.18/0.42 SPASS beiseite: Proof found.
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 SPASS derived 535 clauses, backtracked 391 clauses, performed 22 splits and kept 641 clauses.
% 0.18/0.42 SPASS allocated 75866 KBytes.
% 0.18/0.42 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.42 0:00:00.04 for the input.
% 0.18/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.42 0:00:00.00 for inferences.
% 0.18/0.42 0:00:00.00 for the backtracking.
% 0.18/0.42 0:00:00.02 for the reduction.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Here is a proof with depth 3, length 212 :
% 0.18/0.42 % SZS output start Refutation
% 0.18/0.42 1[0:Inp] both(u) || -> salt(u)*.
% 0.18/0.42 2[0:Inp] both(u) || -> mustard(u)*.
% 0.18/0.42 3[0:Inp] mustard(u) salt(u) || -> both(u)*.
% 0.18/0.42 4[0:Inp] oneof(u) || -> mustard(u)* salt(u).
% 0.18/0.42 5[0:Inp] both(u) oneof(u) || -> .
% 0.18/0.42 6[0:Inp] neither(u) oneof(u) || -> .
% 0.18/0.42 7[0:Inp] || -> oneof(u) neither(u)* both(u).
% 0.18/0.42 10[0:Inp] salt(u) neither(u) || -> .
% 0.18/0.42 11[0:Inp] mustard(u) neither(u) || -> .
% 0.18/0.42 12[0:Inp] || -> neither(u)* mustard(u) salt(u).
% 0.18/0.42 13[0:Inp] || salt(barry)+ -> oneof(lang) oneof(cole)*.
% 0.18/0.42 14[0:Inp] || oneof(cole)*+ -> salt(barry).
% 0.18/0.42 15[0:Inp] || oneof(lang)*+ -> salt(barry).
% 0.18/0.42 16[0:Inp] || mustard(barry)+ -> both(mill) neither(dix)*.
% 0.18/0.42 17[0:Inp] || neither(dix)*+ -> mustard(barry).
% 0.18/0.42 18[0:Inp] || both(mill)+ -> mustard(barry)*.
% 0.18/0.42 19[0:Inp] || salt(cole)+ -> neither(mill)* oneof(barry).
% 0.18/0.42 20[0:Inp] || oneof(barry)* -> salt(cole).
% 0.18/0.42 22[0:Inp] || mustard(cole)*+ -> both(lang) both(dix).
% 0.18/0.42 23[0:Inp] || both(dix)+ -> mustard(cole)*.
% 0.18/0.42 24[0:Inp] || both(lang) -> mustard(cole)*.
% 0.18/0.42 25[0:Inp] || salt(dix) -> both(cole) neither(barry)*.
% 0.18/0.42 26[0:Inp] || neither(barry)*+ -> salt(dix).
% 0.18/0.42 28[0:Inp] || mustard(dix) -> neither(mill) neither(lang)*.
% 0.18/0.42 30[0:Inp] || neither(mill)* -> mustard(dix).
% 0.18/0.42 31[0:Inp] || salt(lang)+ -> oneof(dix) oneof(barry)*.
% 0.18/0.42 32[0:Inp] || oneof(barry)*+ -> salt(lang).
% 0.18/0.42 33[0:Inp] || oneof(dix)* -> salt(lang).
% 0.18/0.42 34[0:Inp] || mustard(lang) -> neither(mill) neither(cole)*.
% 0.18/0.42 35[0:Inp] || neither(cole)*+ -> mustard(lang).
% 0.18/0.42 36[0:Inp] || neither(mill)* -> mustard(lang).
% 0.18/0.42 37[0:Inp] || salt(mill)*+ -> both(lang) both(barry).
% 0.18/0.42 38[0:Inp] || both(barry)+ -> salt(mill)*.
% 0.18/0.42 39[0:Inp] || both(lang) -> mustard(mill)*.
% 0.18/0.42 40[0:Inp] || mustard(mill)+ -> oneof(dix) oneof(cole)*.
% 0.18/0.42 41[0:Inp] || oneof(cole)* -> mustard(mill).
% 0.18/0.42 42[0:Inp] || oneof(dix)* -> mustard(mill).
% 0.18/0.42 43[0:Inp] || neither(cole)* neither(dix) both(barry) oneof(lang) salt(mill) mustard(lang) oneof(mill) -> .
% 0.18/0.42 44[0:MRR:43.4,43.5,38.1,35.1] || oneof(mill)+ oneof(lang) both(barry) neither(dix) neither(cole)* -> .
% 0.18/0.42 96[1:Spt:19.1] || -> neither(mill)*.
% 0.18/0.42 97[1:MRR:36.0,96.0] || -> mustard(lang)*.
% 0.18/0.42 98[1:MRR:30.0,96.0] || -> mustard(dix)*.
% 0.18/0.42 100[2:Spt:31.1] || -> oneof(dix)*.
% 0.18/0.42 101[2:MRR:42.0,100.0] || -> mustard(mill)*.
% 0.18/0.42 125[1:EmS:10.0,10.1,1.1,96.0] both(mill) || -> .
% 0.18/0.42 128[2:EmS:11.0,11.1,101.0,96.0] || -> .
% 0.18/0.42 129[2:Spt:128.0,31.1,100.0] || oneof(dix)*+ -> .
% 0.18/0.42 130[2:Spt:128.0,31.0,31.2] || salt(lang)+ -> oneof(barry)*.
% 0.18/0.42 131[1:MRR:16.1,125.0] || mustard(barry)+ -> neither(dix)*.
% 0.18/0.42 133[2:MRR:40.1,129.0] || mustard(mill) -> oneof(cole)*.
% 0.18/0.42 135[3:Spt:13.2] || -> oneof(cole)*.
% 0.18/0.42 137[3:MRR:41.0,135.0] || -> mustard(mill)*.
% 0.18/0.42 142[3:EmS:11.0,11.1,137.0,96.0] || -> .
% 0.18/0.42 143[3:Spt:142.0,13.2,135.0] || oneof(cole)*+ -> .
% 0.18/0.42 144[3:Spt:142.0,13.0,13.1] || salt(barry)+ -> oneof(lang)*.
% 0.18/0.42 145[3:MRR:133.1,143.0] || mustard(mill)*+ -> .
% 0.18/0.42 146[3:MRR:39.1,145.0] || both(lang)*+ -> .
% 0.18/0.42 153[1:EmS:11.0,11.1,98.0,131.1] || mustard(barry)*+ -> .
% 0.18/0.42 156[1:Res:2.1,131.0] both(barry) || -> neither(dix)*.
% 0.18/0.42 158[1:MRR:17.1,153.0] || neither(dix)*+ -> .
% 0.18/0.42 159[1:MRR:156.1,158.0] both(barry) || -> .
% 0.18/0.42 163[0:EmS:11.0,11.1,23.1,7.1] || both(dix) -> both(cole) oneof(cole)*.
% 0.18/0.42 166[1:EmS:11.0,11.1,97.0,7.1] || -> both(lang) oneof(lang)*.
% 0.18/0.42 176[3:MRR:166.0,146.0] || -> oneof(lang)*.
% 0.18/0.42 177[3:MRR:15.0,176.0] || -> salt(barry)*.
% 0.18/0.42 183[3:EmS:10.0,10.1,177.0,7.1] || -> both(barry) oneof(barry)*.
% 0.18/0.42 184[3:MRR:183.0,159.0] || -> oneof(barry)*.
% 0.18/0.42 185[3:MRR:32.0,184.0] || -> salt(lang)*.
% 0.18/0.42 220[3:Res:3.2,146.0] mustard(lang) salt(lang) || -> .
% 0.18/0.42 223[3:SSi:220.1,220.0,97.0,176.0,185.0,97.0,176.0,185.0] || -> .
% 0.18/0.42 224[1:Spt:223.0,19.1,96.0] || neither(mill)*+ -> .
% 0.18/0.42 225[1:Spt:223.0,19.0,19.2] || salt(cole)+ -> oneof(barry)*.
% 0.18/0.42 226[1:MRR:34.1,224.0] || mustard(lang)+ -> neither(cole)*.
% 0.18/0.42 227[1:MRR:28.1,224.0] || mustard(dix) -> neither(lang)*.
% 0.18/0.42 230[1:EmS:5.0,5.1,3.2,225.1] mustard(barry) salt(barry) || salt(cole)* -> .
% 0.18/0.42 231[1:Res:1.1,225.0] both(cole) || -> oneof(barry)*.
% 0.18/0.42 232[2:Spt:40.1] || -> oneof(dix)*.
% 0.18/0.42 233[2:MRR:33.0,232.0] || -> salt(lang)*.
% 0.18/0.42 236[2:EmS:6.0,6.1,12.0,232.0] || -> mustard(dix)* salt(dix).
% 0.18/0.42 238[3:Spt:13.1] || -> oneof(lang)*.
% 0.18/0.42 239[3:MRR:15.0,238.0] || -> salt(barry)*.
% 0.18/0.42 241[3:MRR:230.1,239.0] mustard(barry) || salt(cole)* -> .
% 0.18/0.42 244[3:EmS:5.0,5.1,3.2,238.0] mustard(lang) salt(lang) || -> .
% 0.18/0.42 245[3:MRR:244.1,233.0] mustard(lang) || -> .
% 0.18/0.42 246[3:MRR:35.1,245.0] || neither(cole)*+ -> .
% 0.18/0.42 248[2:EmS:10.0,10.1,233.0,7.1] || -> both(lang) oneof(lang)*.
% 0.18/0.42 250[4:Spt:37.1] || -> both(lang)*.
% 0.18/0.42 252[4:EmS:5.0,5.1,250.0,238.0] || -> .
% 0.18/0.42 255[4:Spt:252.0,37.1,250.0] || both(lang)*+ -> .
% 0.18/0.42 256[4:Spt:252.0,37.0,37.2] || salt(mill)*+ -> both(barry).
% 0.18/0.42 257[4:MRR:22.1,255.0] || mustard(cole)* -> both(dix).
% 0.18/0.42 261[5:Spt:16.1] || -> both(mill)*.
% 0.18/0.42 262[5:MRR:18.0,261.0] || -> mustard(barry)*.
% 0.18/0.42 264[5:MRR:241.0,262.0] || salt(cole)* -> .
% 0.18/0.42 280[1:Res:12.0,224.0] || -> mustard(mill)* salt(mill).
% 0.18/0.42 281[1:Res:7.1,224.0] || -> oneof(mill)* both(mill).
% 0.18/0.42 282[3:Res:12.0,246.0] || -> mustard(cole)* salt(cole).
% 0.18/0.42 284[5:MRR:282.1,264.0] || -> mustard(cole)*.
% 0.18/0.42 285[5:MRR:257.0,284.0] || -> both(dix)*.
% 0.18/0.42 289[5:EmS:5.0,5.1,285.0,232.0] || -> .
% 0.18/0.42 292[5:Spt:289.0,16.1,261.0] || both(mill)*+ -> .
% 0.18/0.42 293[5:Spt:289.0,16.0,16.2] || mustard(barry)+ -> neither(dix)*.
% 0.18/0.42 337[6:Spt:236.0] || -> mustard(dix)*.
% 0.18/0.42 338[6:MRR:227.0,337.0] || -> neither(lang)*.
% 0.18/0.42 349[6:EmS:10.0,10.1,233.0,338.0] || -> .
% 0.18/0.42 353[6:Spt:349.0,236.0,337.0] || mustard(dix)*+ -> .
% 0.18/0.42 354[6:Spt:349.0,236.1] || -> salt(dix)*.
% 0.18/0.42 357[6:MRR:25.0,354.0] || -> both(cole) neither(barry)*.
% 0.18/0.42 361[6:Res:2.1,353.0] both(dix) || -> .
% 0.18/0.42 362[6:MRR:257.1,361.0] || mustard(cole)*+ -> .
% 0.18/0.42 370[6:Res:2.1,362.0] both(cole) || -> .
% 0.18/0.42 372[6:MRR:357.0,370.0] || -> neither(barry)*.
% 0.18/0.42 379[6:EmS:10.0,10.1,239.0,372.0] || -> .
% 0.18/0.42 383[3:Spt:379.0,13.1,238.0] || oneof(lang)*+ -> .
% 0.18/0.42 384[3:Spt:379.0,13.0,13.2] || salt(barry)+ -> oneof(cole)*.
% 0.18/0.42 385[3:MRR:248.1,383.0] || -> both(lang)*.
% 0.18/0.42 386[3:MRR:24.0,385.0] || -> mustard(cole)*.
% 0.18/0.42 461[0:Res:7.1,35.0] || -> oneof(cole)* both(cole) mustard(lang).
% 0.18/0.42 462[3:EmS:11.0,11.1,386.0,226.1] || mustard(lang)* -> .
% 0.18/0.42 464[1:EmS:11.0,11.1,4.1,226.1] oneof(cole) || mustard(lang)* -> salt(cole).
% 0.18/0.42 470[1:Res:2.1,226.0] both(lang) || -> neither(cole)*.
% 0.18/0.42 471[3:MRR:35.1,462.0] || neither(cole)* -> .
% 0.18/0.42 472[3:SSi:470.0,233.0,385.0] || -> neither(cole)*.
% 0.18/0.42 473[3:MRR:472.0,471.0] || -> .
% 0.18/0.42 474[2:Spt:473.0,40.1,232.0] || oneof(dix)*+ -> .
% 0.18/0.42 475[2:Spt:473.0,40.0,40.2] || mustard(mill)+ -> oneof(cole)*.
% 0.18/0.42 479[2:EmS:6.0,6.1,12.0,475.1] || mustard(mill) -> mustard(cole)* salt(cole).
% 0.18/0.42 480[2:EmS:5.0,5.1,3.2,475.1] mustard(cole) salt(cole) || mustard(mill)* -> .
% 0.18/0.42 482[2:Res:2.1,475.0] both(mill) || -> oneof(cole)*.
% 0.18/0.42 483[3:Spt:37.1] || -> both(lang)*.
% 0.18/0.42 484[3:MRR:24.0,483.0] || -> mustard(cole)*.
% 0.18/0.42 485[3:MRR:470.0,483.0] || -> neither(cole)*.
% 0.18/0.42 486[3:MRR:39.0,483.0] || -> mustard(mill)*.
% 0.18/0.42 488[3:MRR:480.0,484.0] salt(cole) || mustard(mill)* -> .
% 0.18/0.42 489[3:MRR:35.0,485.0] || -> mustard(lang)*.
% 0.18/0.42 491[3:MRR:475.0,486.0] || -> oneof(cole)*.
% 0.18/0.42 493[3:MRR:464.1,489.0] oneof(cole) || -> salt(cole)*.
% 0.18/0.42 497[3:MRR:493.0,491.0] || -> salt(cole)*.
% 0.18/0.42 501[3:MRR:488.0,488.1,497.0,486.0] || -> .
% 0.18/0.42 508[3:Spt:501.0,37.1,483.0] || both(lang)*+ -> .
% 0.18/0.42 509[3:Spt:501.0,37.0,37.2] || salt(mill)*+ -> both(barry).
% 0.18/0.42 510[3:MRR:22.1,508.0] || mustard(cole)* -> both(dix).
% 0.18/0.42 512[4:Spt:13.2] || -> oneof(cole)*.
% 0.18/0.42 513[4:MRR:41.0,512.0] || -> mustard(mill)*.
% 0.18/0.42 514[4:MRR:14.0,512.0] || -> salt(barry)*.
% 0.18/0.42 516[4:MRR:479.0,513.0] || -> mustard(cole)* salt(cole).
% 0.18/0.42 517[4:MRR:480.2,513.0] mustard(cole) salt(cole) || -> .
% 0.18/0.42 518[4:MRR:230.1,514.0] mustard(barry) || salt(cole)* -> .
% 0.18/0.42 525[5:Spt:44.2] || both(barry)*+ -> .
% 0.18/0.42 531[5:Res:3.2,525.0] mustard(barry) salt(barry) || -> .
% 0.18/0.42 532[5:MRR:531.1,514.0] mustard(barry) || -> .
% 0.18/0.42 533[5:MRR:17.1,532.0] || neither(dix)*+ -> .
% 0.18/0.42 536[4:EmS:10.0,10.1,514.0,7.1] || -> both(barry) oneof(barry)*.
% 0.18/0.42 538[5:MRR:536.0,525.0] || -> oneof(barry)*.
% 0.18/0.43 539[5:MRR:20.0,538.0] || -> salt(cole)*.
% 0.18/0.43 541[5:MRR:517.1,539.0] mustard(cole) || -> .
% 0.18/0.43 542[5:MRR:23.1,541.0] || both(dix)* -> .
% 0.18/0.43 571[5:Res:7.1,533.0] || -> oneof(dix)* both(dix).
% 0.18/0.43 572[5:MRR:571.0,474.0] || -> both(dix)*.
% 0.18/0.43 573[5:MRR:572.0,542.0] || -> .
% 0.18/0.43 574[5:Spt:573.0,44.2,525.0] || -> both(barry)*.
% 0.18/0.43 575[5:Spt:573.0,44.0,44.1,44.3,44.4] || oneof(mill)+ oneof(lang) neither(dix) neither(cole)* -> .
% 0.18/0.43 577[6:Spt:16.1] || -> both(mill)*.
% 0.18/0.43 578[6:MRR:18.0,577.0] || -> mustard(barry)*.
% 0.18/0.43 579[6:MRR:518.0,578.0] || salt(cole)*+ -> .
% 0.18/0.43 580[6:MRR:516.1,579.0] || -> mustard(cole)*.
% 0.18/0.43 581[6:MRR:20.1,579.0] || oneof(barry)*+ -> .
% 0.18/0.43 583[6:MRR:510.0,580.0] || -> both(dix)*.
% 0.18/0.43 586[6:MRR:231.1,581.0] both(cole) || -> .
% 0.18/0.43 589[6:MRR:25.1,586.0] || salt(dix)+ -> neither(barry)*.
% 0.18/0.43 627[6:EmS:11.0,11.1,578.0,589.1] || salt(dix)* -> .
% 0.18/0.43 634[6:Res:1.1,589.0] both(dix) || -> neither(barry)*.
% 0.18/0.43 635[6:MRR:26.1,627.0] || neither(barry)* -> .
% 0.18/0.43 643[6:SSi:634.0,583.0] || -> neither(barry)*.
% 0.18/0.43 644[6:MRR:643.0,635.0] || -> .
% 0.18/0.43 645[6:Spt:644.0,16.1,577.0] || both(mill)* -> .
% 0.18/0.43 646[6:Spt:644.0,16.0,16.2] || mustard(barry)+ -> neither(dix)*.
% 0.18/0.43 648[5:SSi:518.0,2.0,514.0,574.1] || salt(cole)* -> .
% 0.18/0.43 649[5:MRR:516.1,648.0] || -> mustard(cole)*.
% 0.18/0.43 652[5:MRR:510.0,649.0] || -> both(dix)*.
% 0.18/0.43 662[6:EmS:10.0,10.1,1.1,646.1] both(dix) || mustard(barry)* -> .
% 0.18/0.43 665[6:Res:2.1,646.0] both(barry) || -> neither(dix)*.
% 0.18/0.43 666[6:SSi:665.0,514.0,574.0] || -> neither(dix)*.
% 0.18/0.43 667[6:MRR:17.0,666.0] || -> mustard(barry)*.
% 0.18/0.43 669[6:MRR:662.0,662.1,652.0,667.0] || -> .
% 0.18/0.43 672[4:Spt:669.0,13.2,512.0] || oneof(cole)*+ -> .
% 0.18/0.43 673[4:Spt:669.0,13.0,13.1] || salt(barry)+ -> oneof(lang)*.
% 0.18/0.43 674[4:MRR:475.1,672.0] || mustard(mill)*+ -> .
% 0.18/0.43 675[4:MRR:280.0,674.0] || -> salt(mill)*.
% 0.18/0.43 676[4:MRR:509.0,675.0] || -> both(barry)*.
% 0.18/0.43 677[4:MRR:482.1,672.0] both(mill) || -> .
% 0.18/0.43 678[4:MRR:281.1,677.0] || -> oneof(mill)*.
% 0.18/0.43 679[4:MRR:461.0,672.0] || -> both(cole) mustard(lang)*.
% 0.18/0.43 681[4:MRR:163.2,672.0] || both(dix) -> both(cole)*.
% 0.18/0.43 682[4:MRR:44.0,44.2,678.0,676.0] || oneof(lang) neither(dix) neither(cole)* -> .
% 0.18/0.43 686[4:Res:1.1,673.0] both(barry) || -> oneof(lang)*.
% 0.18/0.43 687[4:MRR:686.0,676.0] || -> oneof(lang)*.
% 0.18/0.43 688[4:MRR:15.0,687.0] || -> salt(barry)*.
% 0.18/0.43 690[4:MRR:682.0,687.0] || neither(dix) neither(cole)* -> .
% 0.18/0.43 691[4:MRR:230.1,688.0] mustard(barry) || salt(cole)* -> .
% 0.18/0.43 713[5:Spt:679.0] || -> both(cole)*.
% 0.18/0.43 716[5:MRR:231.0,713.0] || -> oneof(barry)*.
% 0.18/0.43 719[5:MRR:20.0,716.0] || -> salt(cole)*.
% 0.18/0.43 722[5:MRR:691.1,719.0] mustard(barry) || -> .
% 0.18/0.43 725[5:SSi:722.0,2.0,688.0,676.1] || -> .
% 0.18/0.43 727[5:Spt:725.0,679.0,713.0] || both(cole)*+ -> .
% 0.18/0.43 728[5:Spt:725.0,679.1] || -> mustard(lang)*.
% 0.18/0.43 729[5:MRR:681.1,727.0] || both(dix)*+ -> .
% 0.18/0.43 731[5:MRR:226.0,728.0] || -> neither(cole)*.
% 0.18/0.43 737[5:MRR:690.1,731.0] || neither(dix)*+ -> .
% 0.18/0.43 758[5:Res:7.1,737.0] || -> oneof(dix)* both(dix).
% 0.18/0.43 759[5:MRR:758.0,758.1,474.0,729.0] || -> .
% 0.18/0.43 % SZS output end Refutation
% 0.18/0.43 Formulae used in the proof : both1 both2 both3 oneof1 oneof2 oneof3 one_condition_holds1 neither2 neither3 neither4 rule1_1 rule1_2 rule1_3 rule2_1 rule2_2 rule2_3 rule3_1 rule3_2 rule4_1 rule4_2 rule4_3 rule5_1 rule5_2 rule6_1 rule6_3 rule7_1 rule7_2 rule7_3 rule8_1 rule8_2 rule8_3 rule9_1 rule9_2 rule9_3 rule10_1 rule10_2 rule10_3 prove_who_takes_what
% 0.18/0.43
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