TSTP Solution File: SYN489-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN489-1 : TPTP v3.4.2. Released v2.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art07.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 258.6s
% Output : Assurance 258.6s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SYN/SYN489-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: big
%
% strategies selected:
% (hyper 30 #f 1 19)
% (binary-unit 30 #f 1 19)
% (binary-double 18 #f 1 19)
% (binary 90 #t 1 19)
% (binary-order 30 #f 1 19)
% (binary-posweight-order 54 #f)
% (binary-order-sos 30 #t)
% (binary-unit-uniteq 30 #f)
% (binary-weightorder 30 #f)
% (binary-weightorder-sos 30 #f)
% (binary-order 30 #f)
% (hyper-order 30 #f)
% (binary 168 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(204,40,2,408,0,2,112706,4,2429,143651,5,3003,143652,5,3003,143652,1,3003,143652,50,3004,143652,40,3004,143856,0,3005,144084,50,3005,144288,0,3007,144516,50,3007,144720,0,3007,144948,50,3008,145152,0,3010,145380,50,3010,145584,0,3012,145812,50,3012,146016,0,3012,146244,50,3013,146448,0,3014,146676,50,3015,146880,0,3017,147108,50,3017,147312,0,3017,147540,50,3018,147744,0,3019,147972,50,3020,148176,0,3022,148404,50,3022,148608,0,3022,148836,50,3023,149040,0,3024,149268,50,3025,149472,0,3027,149700,50,3027,149904,0,3027,150132,50,3028,150336,0,3030,150564,50,3030,150768,0,3032,150996,50,3033,151200,0,3033,151428,50,3033,151632,0,3035,151860,50,3035,152064,0,3037,152292,50,3038,152496,0,3038,152724,50,3039,152724,40,3039,152928,0,3040,174629,3,3941,176433,4,4391,177377,1,4841,177377,50,4841,177377,40,4841,177581,0,4841,299599,3,9343,300638,4,11593,302960,5,13842,302961,1,13842,302961,50,13845,302961,40,13845,303165,0,13845,344436,3,15602,344993,4,16096,346534,5,16846,346535,1,16846,346535,50,16847,346535,40,16847,346739,0,16847,414465,3,19559,415219,4,20898,416098,5,22248,416099,1,22248,416099,50,22251,416099,40,22251,416303,0,22251,449265,3,24023,449927,4,24502,451635,1,25252,451635,50,25252,451635,40,25252,451839,0,25252,452067,50,25253,452067,40,25253,452271,0,25257)
%
%
% START OF PROOF
% 452068 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c3_1(Z) | -c3_1(X) | -c1_1(Z) | -c0_1(Z) | -c0_1(X) | c0_1(Y).
% 452069 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c1_1(Z) | -c1_1(X) | -c0_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(Y).
% 452070 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Z) | c1_1(X) | c0_1(Z).
% 452071 [] -ndr1_0(0) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Z) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c1_1(Z) | c1_1(X).
% 452072 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | -c3_1(Z) | -c0_1(Z) | -c0_1(X) | c3_1(X) | c1_1(Y) | c1_1(Z) | c0_1(Y).
% 452073 [] -ndr1_0(0) | -c2_1(Z) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Z) | c0_1(Z) | c0_1(Y).
% 452074 [] -ndr1_0(0) | -c2_1(Z) | -c2_1(Y) | -c2_1(X) | -c1_1(Y) | -c0_1(X) | c1_1(Z) | c1_1(X) | c0_1(Z) | c0_1(Y).
% 452075 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(Y) | c1_1(Z) | c0_1(X).
% 452076 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | -c3_1(Z) | -c0_1(Z) | c3_1(X) | c3_1(Y) | c1_1(Z) | c1_1(Y) | c0_1(X).
% 452083 [] -ndr1_0(0) | hskp10(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y).
% 452084 [] -ndr1_0(0) | hskp4(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 452086 [?] ?
% 452087 [?] ?
% 452088 [?] ?
% 452090 [?] ?
% 452091 [?] ?
% 452102 [?] ?
% 452104 [?] ?
% 452105 [?] ?
% 452107 [?] ?
% 452108 [?] ?
% 452112 [?] ?
% 452114 [?] ?
% 452115 [?] ?
% 452116 [?] ?
% 452117 [?] ?
% 452119 [?] ?
% 452122 [?] ?
% 452124 [?] ?
% 452125 [?] ?
% 452126 [?] ?
% 452132 [?] ?
% 452134 [?] ?
% 452136 [] -hskp1(0) | c2_1(a2517).
% 452137 [] -hskp2(0) | c1_1(a2518).
% 452138 [] -hskp4(0) | c3_1(a2521).
% 452139 [] -hskp4(0) | c2_1(a2521).
% 452140 [] -hskp5(0) | c3_1(a2522).
% 452141 [] -hskp5(0) | c2_1(a2522).
% 452142 [] -hskp6(0) | c1_1(a2523).
% 452143 [] -hskp6(0) | c0_1(a2523).
% 452144 [] -hskp7(0) | c3_1(a2524).
% 452145 [] -hskp7(0) | c1_1(a2524).
% 452148 [] -hskp9(0) | c3_1(a2526).
% 452149 [] -hskp9(0) | c1_1(a2526).
% 452150 [] -hskp10(0) | c3_1(a2528).
% 452151 [] -hskp11(0) | c2_1(a2531).
% 452152 [] -hskp11(0) | c1_1(a2531).
% 452153 [] -hskp13(0) | c1_1(a2534).
% 452154 [] -hskp15(0) | c3_1(a2539).
% 452155 [] -hskp16(0) | c0_1(a2540).
% 452156 [] -hskp17(0) | c3_1(a2541).
% 452157 [] -hskp18(0) | c2_1(a2545).
% 452158 [] -hskp18(0) | c1_1(a2545).
% 452159 [] -hskp19(0) | c3_1(a2548).
% 452160 [] -hskp19(0) | c0_1(a2548).
% 452161 [] -hskp20(0) | c2_1(a2549).
% 452162 [] -hskp21(0) | c1_1(a2551).
% 452163 [] -hskp21(0) | c0_1(a2551).
% 452164 [] -hskp22(0) | c2_1(a2552).
% 452165 [] -hskp23(0) | c0_1(a2553).
% 452166 [] -hskp24(0) | c2_1(a2555).
% 452167 [] -hskp24(0) | c0_1(a2555).
% 452168 [] -hskp25(0) | c0_1(a2564).
% 452169 [] -hskp26(0) | c3_1(a2601).
% 452170 [] -hskp26(0) | c0_1(a2601).
% 452171 [] -hskp27(0) | c1_1(a2614).
% 452175 [] -hskp29(0) | c3_1(a2556).
% 452176 [] -hskp29(0) | c2_1(a2556).
% 452177 [] -hskp29(0) | c1_1(a2556).
% 452178 [] -hskp30(0) | c2_1(a2558).
% 452179 [] -hskp30(0) | c1_1(a2558).
% 452180 [] -hskp30(0) | c0_1(a2558).
% 452184 [] hskp2(0) | hskp3(0) | hskp27(0).
% 452189 [] hskp21(0) | hskp26(0) | hskp30(0).
% 452213 [] -hskp23(0) | ndr1_0(0).
% 452217 [] -hskp27(0) | ndr1_0(0).
% 452222 [] hskp27(0) | hskp23(0).
% 452224 [] -c2_1(a2614) | -hskp27(0).
% 452225 [] -c3_1(a2614) | -hskp27(0).
% 452226 [] -c2_1(a2601) | -hskp26(0).
% 452227 [] -c1_1(a2564) | -hskp25(0).
% 452228 [] -c2_1(a2564) | -hskp25(0).
% 452229 [] -c1_1(a2555) | -hskp24(0).
% 452230 [] -c1_1(a2553) | -hskp23(0).
% 452231 [] -c3_1(a2553) | -hskp23(0).
% 452232 [] -c1_1(a2552) | -hskp22(0).
% 452233 [] -c3_1(a2552) | -hskp22(0).
% 452234 [] -c2_1(a2551) | -hskp21(0).
% 452235 [] -c0_1(a2549) | -hskp20(0).
% 452236 [] -c1_1(a2549) | -hskp20(0).
% 452237 [] -c1_1(a2548) | -hskp19(0).
% 452238 [] -c0_1(a2545) | -hskp18(0).
% 452239 [] -c1_1(a2541) | -hskp17(0).
% 452240 [] -c2_1(a2541) | -hskp17(0).
% 452241 [] -c2_1(a2540) | -hskp16(0).
% 452242 [] -c3_1(a2540) | -hskp16(0).
% 452243 [] -c0_1(a2539) | -hskp15(0).
% 452244 [] -c2_1(a2539) | -hskp15(0).
% 452248 [] -c0_1(a2534) | -hskp13(0).
% 452249 [] -c2_1(a2534) | -hskp13(0).
% 452253 [] -c3_1(a2531) | -hskp11(0).
% 452254 [] -c0_1(a2528) | -hskp10(0).
% 452255 [] -c1_1(a2528) | -hskp10(0).
% 452256 [] -c0_1(a2526) | -hskp9(0).
% 452259 [] -c3_1(a2523) | -hskp6(0).
% 452260 [] -c0_1(a2522) | -hskp5(0).
% 452261 [] -c1_1(a2521) | -hskp4(0).
% 452262 [] -c0_1(a2519) | -hskp3(0).
% 452264 [] -c3_1(a2519) | -hskp3(0).
% 452265 [] -c0_1(a2518) | -hskp2(0).
% 452266 [] -c3_1(a2518) | -hskp2(0).
% 452267 [] -c0_1(a2517) | -hskp1(0).
% 452268 [] -c3_1(a2517) | -hskp1(0).
% 452431 [binary:452171,452222] c1_1(a2614) | hskp23(0).
% 452433 [binary:452217,452222,binarycut:452213] ndr1_0(0).
% 452435 [binary:452069,452433] -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c1_1(Z) | -c0_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(Y).
% 452436 [binary:452070,452433] -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Z) | -c0_1(X) | -c0_1(Z) | c2_1(Y) | c1_1(X) | c0_1(Y).
% 452437 [binary:452071,452433] -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(Z) | c2_1(Y) | c2_1(Z) | c1_1(Z) | c1_1(X).
% 452438 [binary:452072,452433] -c2_1(X) | -c2_1(Y) | -c3_1(Z) | -c0_1(Y) | -c0_1(Z) | c3_1(Y) | c1_1(Z) | c1_1(X) | c0_1(X).
% 452439 [binary:452073,452433] -c2_1(Y) | -c2_1(Z) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c3_1(Y) | c1_1(Z) | c0_1(Z) | c0_1(X).
% 452440 [binary:452074,452433] -c2_1(Y) | -c2_1(Z) | -c2_1(X) | -c1_1(X) | -c0_1(Y) | c1_1(Y) | c1_1(Z) | c0_1(Z) | c0_1(X).
% 452441 [binary:452075,452433] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(Z) | c1_1(Y) | c0_1(X).
% 452442 [binary:452076,452433] -c2_1(X) | -c2_1(Y) | -c3_1(Z) | -c0_1(Z) | c3_1(Y) | c3_1(X) | c1_1(X) | c1_1(Z) | c0_1(Y).
% 452449 [binary:452083,452433] hskp10(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y).
% 452450 [binary:452084,452433] hskp4(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 452453 [input:452086,cut:452433] hskp16(0) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 452454 [binary:452155,452453] c0_1(a2540) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 452458 [binary:452137,452184] c1_1(a2518) | hskp3(0) | hskp27(0).
% 452467 [input:452087,cut:452433] hskp5(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 452468 [binary:452140,452467] c3_1(a2522) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 452469 [binary:452141,452467] c2_1(a2522) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 452473 [binary:452162,452189] c1_1(a2551) | hskp26(0) | hskp30(0).
% 452474 [binary:452163,452189] c0_1(a2551) | hskp26(0) | hskp30(0).
% 452475 [input:452088,cut:452433] hskp21(0) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X).
% 452476 [binary:452162,452475] c1_1(a2551) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y).
% 452477 [binary:452163,452475] c0_1(a2551) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y).
% 452489 [input:452090,cut:452433] hskp29(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 452490 [binary:452175,452489] c3_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 452492 [binary:452176,452489] c2_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 452494 [binary:452177,452489] c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 452503 [input:452091,cut:452433] hskp17(0) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 452504 [binary:452156,452503] c3_1(a2541) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 452512 [input:452102,factor:cut:452433] hskp11(0) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 452513 [binary:452151,452512] c2_1(a2531) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 452515 [binary:452152,452512] c1_1(a2531) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 452529 [input:452107,factor:cut:452433] hskp1(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 452534 [input:452108,factor:cut:452433] hskp9(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 452535 [binary:452148,452534] c3_1(a2526) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 452537 [binary:452149,452534] c1_1(a2526) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 452555 [input:452112,cut:452433] hskp6(0) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X).
% 452556 [binary:452142,452555] c1_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X).
% 452557 [binary:452143,452555] c0_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X).
% 452566 [input:452114,cut:452433] hskp20(0) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 452567 [binary:452161,452566] c2_1(a2549) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 452569 [input:452115,cut:452433] hskp10(0) | hskp29(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 452570 [binary:452150,452569] c3_1(a2528) | hskp29(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 452579 [input:452116,cut:452433] hskp25(0) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 452580 [binary:452168,452579] c0_1(a2564) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 452582 [input:452117,cut:452433] hskp9(0) | hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 452583 [binary:452148,452582] c3_1(a2526) | hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 452584 [binary:452149,452582] c1_1(a2526) | hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 452599 [input:452119,cut:452433] hskp5(0) | hskp22(0) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 452600 [binary:452140,452599] c3_1(a2522) | hskp22(0) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 452601 [binary:452141,452599] c2_1(a2522) | hskp22(0) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 452611 [input:452102,cut:452433] hskp11(0) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 452612 [binary:452151,452611] c2_1(a2531) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X) | c0_1(Y).
% 452616 [binary:452152,452611] c1_1(a2531) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X) | c0_1(Y).
% 452620 [input:452122,cut:452433] hskp10(0) | hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 452621 [binary:452150,452620] c3_1(a2528) | hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 452626 [input:452104,cut:452433] hskp4(0) | -c3_1(X) | -c0_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 452627 [binary:452138,452626] c3_1(a2521) | -c3_1(X) | -c0_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 452629 [binary:452139,452626] c2_1(a2521) | -c3_1(X) | -c0_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 452633 [input:452124,cut:452433] hskp4(0) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 452634 [binary:452138,452633] c3_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 452635 [binary:452139,452633] c2_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 452638 [input:452105,cut:452433] hskp2(0) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 452641 [binary:452137,452638,factor:factor] c3_1(a2518) | c1_1(a2518) | c0_1(a2518) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 452642 [input:452125,cut:452433] hskp4(0) | hskp9(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 452643 [binary:452138,452642] c3_1(a2521) | hskp9(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 452645 [binary:452139,452642] c2_1(a2521) | hskp9(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 452650 [input:452126,cut:452433] hskp16(0) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 452651 [binary:452155,452650] c0_1(a2540) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 452660 [input:452107,cut:452433] hskp1(0) | -c1_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 452663 [binary:452136,452660,factor:factor] c2_1(a2517) | c3_1(a2517) | c0_1(a2517) | -c1_1(X) | c2_1(X) | c3_1(X).
% 452686 [input:452132,cut:452433] hskp4(0) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 452687 [binary:452138,452686] c3_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 452689 [binary:452139,452686] c2_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 452700 [input:452134,cut:452433] hskp6(0) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 452701 [binary:452142,452700] c1_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 452703 [binary:452143,452700] c0_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 452715 [input:452068,factor:factor:factor:factor:cut:452433] -c2_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c0_1(X).
% 452736 [input:452071,factor:factor:cut:452433] -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c1_1(X).
% 452744 [binary:452601,452736,factor:factor:factor] -c3_1(a2522) | c1_1(a2522) | hskp22(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 452746 [binary:452635,452736] -c3_1(a2521) | c1_1(a2521) | hskp15(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 452747 [binary:452645,452736] -c3_1(a2521) | c1_1(a2521) | hskp9(0) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 452758 [input:452073,factor:cut:452433] -c2_1(X) | -c2_1(Y) | -c3_1(X) | -c0_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 452778 [input:452076,factor:cut:452433] -c2_1(X) | -c3_1(Y) | -c0_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(X).
% 452897 [binary:452150,452449] c3_1(a2528) | -c3_1(X) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y).
% 452901 [binary:452138,452450] c3_1(a2521) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 452903 [binary:452139,452450] c2_1(a2521) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 452910 [binary:452567,452438,factor] c1_1(a2549) | c0_1(a2549) | hskp25(0) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 452946 [binary:452715,452469,factor:factor:factor] -c3_1(a2522) | c0_1(a2522) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 453029 [binary:452435,452492,factor:factor:factor] -c3_1(a2556) | -c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c1_1(Z) | -c0_1(Z) | c2_1(Y) | c3_1(X) | c3_1(Z) | c1_1(Y).
% 453030 [binary:452435,452492,factor:factor:factor:factor:factor] -c3_1(a2556) | -c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453037 [binary:452513,452441,factor:factor] -c1_1(a2531) | c0_1(a2531) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 453161 [binary:452437,452629] -c3_1(a2521) | c1_1(a2521) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(Z) | -c0_1(U) | c2_1(Y) | c2_1(Z) | c3_1(U) | c1_1(Z) | c1_1(U) | c1_1(X) | c0_1(X).
% 453356 [binary:452736,452903,factor:factor:factor] -c3_1(a2521) | c1_1(a2521) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453394 [binary:452600,452744,factor:factor] c1_1(a2522) | hskp22(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 453470 [binary:452468,452946,factor:factor:factor:factor:factor] c0_1(a2522) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 453472 [binary:452260,453470] -hskp5(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 453476 [binary:452467,453472,factor:factor:factor] -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 453533 [binary:452490,453030,factor:factor:factor] -c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453540 [binary:452494,453533,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453544 [binary:452513,453540,factor] -c1_1(a2531) | -c0_1(a2531) | c3_1(a2531) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 453572 [binary:452515,453544,factor] -c0_1(a2531) | c3_1(a2531) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 453586 [binary:452515,453037,factor:factor] c0_1(a2531) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 453591 [binary:453572,453586,factor:factor] c3_1(a2531) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 453594 [binary:452253,453591] -hskp11(0) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 453605 [binary:452512,453594,factor] -c3_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 453617 [binary:452897,453605,factor:factor] c2_1(a2528) | c1_1(a2528) | c0_1(a2528) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 453710 [binary:452901,453356,factor:factor:factor:factor] c1_1(a2521) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453712 [binary:452261,453710] -hskp4(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453722 [binary:452450,453712,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 453748 [binary:452612,453722,factor:factor] -c1_1(a2531) | c3_1(a2531) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c1_1(Y) | c0_1(X).
% 453772 [binary:452634,452746,factor] c1_1(a2521) | hskp15(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 453786 [binary:452643,452747,factor:factor] c1_1(a2521) | hskp9(0) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 453863 [binary:452616,453748,factor:factor:factor] c3_1(a2531) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c1_1(Y) | c0_1(X).
% 453865 [binary:452253,453863] -hskp11(0) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 453875 [binary:452611,453865,factor:factor:factor] -c3_1(Y) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X) | c0_1(Y).
% 453883 [binary:452583,453875] c2_1(a2526) | c0_1(a2526) | hskp30(0) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 453993 [binary:452261,453772] -hskp4(0) | hskp15(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 453995 [binary:452261,453786] -hskp4(0) | hskp9(0) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 453999 [binary:452633,453993,factor] hskp15(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 454001 [binary:452154,453999] c3_1(a2539) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 454004 [binary:453875,454001,factor:factor:factor] c2_1(a2539) | c0_1(a2539) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 454030 [binary:452642,453995,factor] hskp9(0) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 454032 [binary:452148,454030] c3_1(a2526) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454034 [binary:452149,454030] c1_1(a2526) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454040 [binary:453875,454032,factor:factor:factor] c2_1(a2526) | c0_1(a2526) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454047 [binary:452244,454004,binarycut:452243] -hskp15(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 454065 [binary:453999,454047,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 454076 [binary:452601,454065,factor] -c1_1(a2522) | c0_1(a2522) | hskp22(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454102 [binary:453394,454076,factor] c0_1(a2522) | hskp22(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454104 [binary:452260,454102] -hskp5(0) | hskp22(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454108 [binary:452599,454104,factor] hskp22(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454118 [binary:452164,454108] c2_1(a2552) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454127 [binary:452778,454118,factor:factor] c3_1(a2552) | c1_1(a2552) | c0_1(a2552) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454137 [binary:452442,454118,factor:factor] c3_1(a2552) | c1_1(a2552) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 454203 [binary:452233,454127,binarycut:452232] -hskp22(0) | c0_1(a2552) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454213 [binary:454108,454203,factor] c0_1(a2552) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 454243 [binary:454065,454040,factor] -c1_1(a2526) | c0_1(a2526) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454251 [binary:452233,454137,binarycut:452232] -hskp22(0) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 454261 [binary:454108,454251,factor] -c2_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 454267 [binary:452663,454261] c3_1(a2517) | c0_1(a2517) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454285 [binary:454034,454243,factor:factor] c0_1(a2526) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 454287 [binary:452256,454285] -hskp9(0) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454296 [binary:454030,454287,factor:factor] -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 454313 [binary:452504,454296,factor:factor] -c0_1(a2541) | c2_1(a2541) | c1_1(a2541) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 454343 [binary:452268,454267,binarycut:452267] -hskp1(0) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 454355 [binary:452529,454343,factor] -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 454368 [binary:452504,454355,factor:factor:factor] -c0_1(a2541) | c2_1(a2541) | c1_1(a2541) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 454476 [binary:452236,452910,binarycut:452235] -hskp20(0) | hskp25(0) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 454479 [binary:452566,454476,factor] hskp25(0) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 454481 [binary:452168,454479] c0_1(a2564) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 454888 [binary:454065,453883,factor:factor] -c1_1(a2526) | c0_1(a2526) | hskp30(0) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c1_1(X).
% 455125 [binary:452584,454888,factor] c0_1(a2526) | hskp30(0) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X).
% 455127 [binary:452256,455125] -hskp9(0) | hskp30(0) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 455130 [binary:452582,455127,factor] hskp30(0) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 455132 [binary:452178,455130] c2_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 455135 [binary:452179,455130] c1_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 455137 [binary:452180,455130] c0_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 455158 [binary:453722,455132,factor:factor] -c1_1(a2558) | c3_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X).
% 455165 [binary:455135,455158,factor:factor] c3_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 455430 [binary:452490,453029,factor:factor:factor] -c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(Z) | -c1_1(X) | -c0_1(Z) | c2_1(Y) | c3_1(X) | c3_1(Z) | c1_1(Y).
% 455434 [binary:452494,455430,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(Z) | -c1_1(X) | -c0_1(Z) | c2_1(Y) | c3_1(Z) | c3_1(X) | c1_1(Y).
% 455438 [binary:452513,455434,factor] -c1_1(a2531) | c3_1(a2531) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(X).
% 455484 [binary:452515,455438,factor] c3_1(a2531) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(X).
% 455486 [binary:452253,455484] -hskp11(0) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(X).
% 455499 [binary:452512,455486,factor] -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(X).
% 455503 [binary:452570,455499,factor] c2_1(a2528) | c1_1(a2528) | c0_1(a2528) | hskp29(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455508 [binary:452504,455499,factor:factor:factor] c2_1(a2541) | c1_1(a2541) | c0_1(a2541) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 455521 [binary:452758,455503] -c3_1(a2528) | c1_1(a2528) | c0_1(a2528) | hskp29(0) | -c2_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c3_1(Y).
% 455522 [binary:452758,455503,factor] -c3_1(a2528) | c1_1(a2528) | c0_1(a2528) | hskp29(0) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455530 [binary:452570,455522,factor] c1_1(a2528) | c0_1(a2528) | hskp29(0) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455533 [binary:452255,455530,binarycut:452254] -hskp10(0) | hskp29(0) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455537 [binary:452569,455533,factor] hskp29(0) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455539 [binary:452175,455537] c3_1(a2556) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455541 [binary:452176,455537] c2_1(a2556) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455542 [binary:452177,455537] c1_1(a2556) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 455548 [binary:453476,455541] -c3_1(a2556) | -c1_1(a2556) | -c0_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c3_1(X) | c1_1(Y) | c0_1(Y).
% 455615 [binary:452240,455508,binarycut:452239] -hskp17(0) | c0_1(a2541) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 455624 [binary:452503,455615,factor:factor:factor] c0_1(a2541) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 455629 [binary:454313,455624,factor:factor:factor:factor:factor] c2_1(a2541) | c1_1(a2541) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 455632 [binary:452240,455629,binarycut:452239] -hskp17(0) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 455641 [binary:452503,455632,factor:factor:factor] -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 455651 [binary:452583,455641,factor:factor] -c1_1(a2526) | c0_1(a2526) | hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455682 [binary:455539,455641] -c1_1(a2556) | c0_1(a2556) | -c2_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y).
% 455688 [binary:452584,455651,factor] c0_1(a2526) | hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455690 [binary:452256,455688] -hskp9(0) | hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455694 [binary:452582,455690,factor] hskp30(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455696 [binary:452178,455694] c2_1(a2558) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455698 [binary:452179,455694] c1_1(a2558) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455699 [binary:452180,455694] c0_1(a2558) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 455709 [binary:453476,455696] -c3_1(a2558) | -c1_1(a2558) | -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 455903 [binary:455542,455682,factor] c0_1(a2556) | -c2_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y).
% 455934 [binary:455539,455548,factor:factor:factor] -c1_1(a2556) | -c0_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c3_1(X) | c1_1(Y) | c0_1(Y).
% 455938 [binary:455542,455934,factor:factor] -c0_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c3_1(X) | c1_1(Y) | c0_1(Y).
% 455941 [binary:455903,455938,factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c1_1(Z) | -c0_1(X) | -c0_1(Z) | c2_1(Z) | c3_1(X) | c3_1(Z) | c1_1(Y) | c0_1(Y).
% 456047 [binary:452570,455521,factor] c1_1(a2528) | c0_1(a2528) | hskp29(0) | -c2_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(Y) | c3_1(X).
% 456053 [binary:452255,456047,binarycut:452254] -hskp10(0) | hskp29(0) | -c2_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c3_1(Y).
% 456061 [binary:452569,456053,factor] hskp29(0) | -c2_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(Y) | c3_1(X).
% 456063 [binary:452175,456061] c3_1(a2556) | -c2_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c3_1(Y).
% 456067 [binary:452176,456061] c2_1(a2556) | -c2_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c3_1(Y).
% 456068 [binary:452177,456061] c1_1(a2556) | -c2_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c3_1(Y).
% 456079 [binary:452435,456067,factor:factor] -c3_1(a2556) | -c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(Z) | -c0_1(Z) | -c0_1(X) | c2_1(Y) | c3_1(X) | c3_1(Z) | c1_1(Y).
% 456240 [binary:455696,455941,factor:factor:factor:factor] -c1_1(a2558) | -c0_1(a2558) | c3_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 456245 [binary:455698,456240,factor:factor:factor] -c0_1(a2558) | c3_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 456249 [binary:455699,456245,factor:factor] c3_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 456255 [binary:455709,456249,factor:factor:factor:factor:factor:factor] -c1_1(a2558) | -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 456260 [binary:455698,456255,factor:factor] -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 456263 [binary:455699,456260,factor] -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X).
% 456266 [binary:452570,456263,factor] c1_1(a2528) | c0_1(a2528) | hskp29(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456278 [binary:452897,456263,factor:factor] c1_1(a2528) | c0_1(a2528) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y).
% 456288 [binary:452255,456266,binarycut:452254] -hskp10(0) | hskp29(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456293 [binary:452569,456288,factor] hskp29(0) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456295 [binary:452175,456293] c3_1(a2556) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456299 [binary:452177,456293] c1_1(a2556) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456303 [binary:455641,456295,factor:factor] -c1_1(a2556) | c0_1(a2556) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456316 [binary:456299,456303,factor] c0_1(a2556) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456389 [binary:452255,456278,binarycut:452254] -hskp10(0) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y).
% 456397 [binary:452449,456389,factor:factor:factor] -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y).
% 456432 [binary:456295,456397,factor:factor:factor] -c1_1(a2556) | -c0_1(a2556) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456444 [binary:456299,456432,factor:factor] -c0_1(a2556) | -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456447 [binary:456316,456444,factor] -c1_1(X) | -c0_1(X) | c2_1(X) | c3_1(X).
% 456449 [binary:452431,456447] -c0_1(a2614) | c2_1(a2614) | c3_1(a2614) | hskp23(0).
% 456453 [binary:452473,456447] -c0_1(a2551) | c2_1(a2551) | c3_1(a2551) | hskp26(0) | hskp30(0).
% 456456 [binary:452556,456447] -c0_1(a2523) | c2_1(a2523) | c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X).
% 456461 [binary:452701,456447] -c0_1(a2523) | c2_1(a2523) | c3_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 456464 [binary:452476,456447,factor:factor] -c0_1(a2551) | c2_1(a2551) | c3_1(a2551) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 456488 [binary:452474,456453] c2_1(a2551) | c3_1(a2551) | hskp26(0) | hskp30(0).
% 456490 [binary:452234,456488] -hskp21(0) | c3_1(a2551) | hskp26(0) | hskp30(0).
% 456503 [binary:452189,456490] c3_1(a2551) | hskp26(0) | hskp30(0).
% 456511 [binary:452477,456464,factor:factor:factor:factor] c2_1(a2551) | c3_1(a2551) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X).
% 456525 [binary:452557,456456,factor] c2_1(a2523) | c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X).
% 456530 [binary:453722,456525] -c1_1(a2523) | c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(Y).
% 456558 [binary:452703,456461,factor] c2_1(a2523) | c3_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 456614 [binary:452234,456511] -hskp21(0) | c3_1(a2551) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y).
% 456671 [binary:452475,456614,factor:factor:factor:factor:factor] c3_1(a2551) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y).
% 456869 [binary:452627,453161,factor:factor:factor:factor:factor:factor:factor:factor:factor:factor:factor:factor] c1_1(a2521) | -c3_1(Y) | -c3_1(X) | -c0_1(Z) | -c0_1(X) | c2_1(X) | c2_1(Z) | c3_1(Z) | c1_1(Y) | c1_1(Z) | c0_1(Y).
% 456877 [binary:452556,456530,factor] c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y).
% 456879 [binary:452259,456877] -hskp6(0) | hskp20(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y).
% 456882 [binary:452555,456879,factor] hskp20(0) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y).
% 456884 [binary:452161,456882] c2_1(a2549) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(Y).
% 456893 [binary:452736,456884,factor:factor:factor:factor] -c3_1(a2549) | c1_1(a2549) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(Y).
% 456921 [binary:454261,456884,factor] c3_1(a2549) | c0_1(a2549) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(Y).
% 456932 [binary:456893,456921,factor:factor:factor:factor:factor] c1_1(a2549) | c0_1(a2549) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(Y).
% 456935 [binary:452236,456932,binarycut:452235] -hskp20(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(Y).
% 456942 [binary:456882,456935,factor:factor:factor] -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y).
% 456967 [binary:455132,456942,factor:factor:factor:factor] -c3_1(a2558) | -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c1_1(X).
% 457008 [binary:455165,456967,factor:factor:factor:factor:factor] -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(X).
% 457014 [binary:455137,457008,factor:factor] -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c1_1(X).
% 457431 [binary:452261,456869] -hskp4(0) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | -c0_1(Z) | c2_1(Z) | c2_1(X) | c3_1(Z) | c1_1(Z) | c1_1(Y) | c0_1(Y).
% 457538 [binary:452626,457431,factor:factor:factor] -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Z) | c2_1(Z) | c2_1(X) | c3_1(Z) | c1_1(Y) | c1_1(Z) | c0_1(Y).
% 457576 [binary:456503,457538] -c0_1(a2551) | c2_1(a2551) | hskp26(0) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458318 [binary:456063,456079,factor:factor:factor:factor] -c1_1(a2556) | -c2_1(X) | -c3_1(Y) | -c1_1(Z) | -c0_1(Z) | -c0_1(X) | c2_1(Y) | c3_1(Z) | c3_1(X) | c1_1(Y).
% 458323 [binary:456068,458318,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(Z) | -c0_1(Z) | -c0_1(X) | c2_1(Y) | c3_1(Z) | c3_1(X) | c1_1(Y).
% 458358 [binary:454118,458323,factor:factor] -c0_1(a2552) | c3_1(a2552) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 458380 [binary:454213,458358,factor] c3_1(a2552) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 458382 [binary:452233,458380] -hskp22(0) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 458403 [binary:454108,458382,factor] -c3_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 458532 [binary:452474,457576] c2_1(a2551) | hskp26(0) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458534 [binary:452234,458532] -hskp21(0) | hskp26(0) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458541 [binary:452189,458534] hskp26(0) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458543 [binary:452169,458541] c3_1(a2601) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458545 [binary:452170,458541] c0_1(a2601) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458567 [binary:457538,458543,factor:factor:factor:factor:factor:factor] -c0_1(a2601) | c2_1(a2601) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458575 [binary:458545,458567,factor:factor:factor:factor] c2_1(a2601) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458578 [binary:452226,458575] -hskp26(0) | hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458593 [binary:458541,458578,factor:factor] hskp30(0) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458595 [binary:452178,458593] c2_1(a2558) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458597 [binary:452179,458593] c1_1(a2558) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458600 [binary:452180,458593] c0_1(a2558) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458612 [binary:452439,458595,factor:factor:factor:factor:factor:factor:factor] -c0_1(a2558) | c3_1(a2558) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458616 [binary:453476,458595,factor:factor:factor] -c3_1(a2558) | -c1_1(a2558) | -c0_1(a2558) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458636 [binary:458600,458612,factor:factor:factor:factor] c3_1(a2558) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458652 [binary:458636,458616,factor:factor:factor:factor] -c1_1(a2558) | -c0_1(a2558) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458664 [binary:458597,458652,factor:factor:factor:factor] -c0_1(a2558) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 458670 [binary:458600,458664,factor:factor] -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 458693 [binary:453617,458670,factor:factor:factor:factor] -c3_1(a2528) | c1_1(a2528) | c0_1(a2528) | -c3_1(X) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 458821 [binary:452897,458693,factor:factor:factor] c1_1(a2528) | c0_1(a2528) | -c3_1(X) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 458825 [binary:452255,458821,binarycut:452254] -hskp10(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 458833 [binary:452449,458825,factor:factor:factor] -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 458880 [binary:456503,458833] -c1_1(a2551) | -c0_1(a2551) | hskp26(0) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458886 [binary:456671,458833,factor:factor:factor:factor:factor] -c1_1(a2551) | -c0_1(a2551) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 458912 [binary:452473,458880] -c0_1(a2551) | hskp26(0) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458936 [binary:452474,458912] hskp26(0) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458942 [binary:452169,458936] c3_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458944 [binary:452170,458936] c0_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458949 [binary:454296,458942,factor:factor:factor:factor] -c0_1(a2601) | c2_1(a2601) | c1_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458956 [binary:458833,458942,factor:factor] -c1_1(a2601) | -c0_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458981 [binary:458944,458949,factor:factor:factor] c2_1(a2601) | c1_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458983 [binary:452226,458981] -hskp26(0) | c1_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458991 [binary:458936,458983,factor:factor] c1_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458995 [binary:458956,458991,factor:factor] -c0_1(a2601) | hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 458998 [binary:458944,458995,factor] hskp30(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459008 [binary:452179,458998] c1_1(a2558) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459010 [binary:452180,458998] c0_1(a2558) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459048 [binary:452476,458886,factor:factor:factor:factor:factor:factor] -c0_1(a2551) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 459059 [binary:452477,459048,factor:factor] -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 459105 [binary:459008,459059,factor:factor:factor] -c0_1(a2558) | c3_1(a2558) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459117 [binary:459010,459105,factor:factor] c3_1(a2558) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459120 [binary:458833,459117,factor:factor] -c1_1(a2558) | -c0_1(a2558) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459130 [binary:459008,459120,factor:factor] -c0_1(a2558) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459137 [binary:459010,459130,factor] -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 459139 [binary:452580,459137] c2_1(a2564) | c3_1(a2564) | c1_1(a2564) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459140 [binary:452651,459137] c2_1(a2540) | c3_1(a2540) | c1_1(a2540) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459142 [binary:452454,459137] c2_1(a2540) | c3_1(a2540) | c1_1(a2540) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459145 [binary:454481,459137] c2_1(a2564) | c3_1(a2564) | c1_1(a2564) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 459182 [binary:452228,459139,binarycut:452227] -hskp25(0) | c3_1(a2564) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459192 [binary:452579,459182,factor] c3_1(a2564) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459202 [binary:457014,459192,factor:factor:factor] -c0_1(a2564) | c2_1(a2564) | c1_1(a2564) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459211 [binary:452241,459140,binarycut:452242] -hskp16(0) | c1_1(a2540) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459224 [binary:452650,459211,factor] c1_1(a2540) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459227 [binary:456447,459224,factor] -c0_1(a2540) | c2_1(a2540) | c3_1(a2540) | hskp19(0).
% 459236 [binary:452651,459227] c2_1(a2540) | c3_1(a2540) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459243 [binary:452241,459236,binarycut:452242] -hskp16(0) | hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459259 [binary:452650,459243,factor] hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459261 [binary:452159,459259] c3_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459263 [binary:452160,459259] c0_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459269 [binary:454296,459261,factor:factor:factor] -c0_1(a2548) | c2_1(a2548) | c1_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459321 [binary:459263,459269,factor:factor] c2_1(a2548) | c1_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 459331 [binary:452580,459202,factor:factor] c2_1(a2564) | c1_1(a2564) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459340 [binary:452228,459331,binarycut:452227] -hskp25(0) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459348 [binary:452579,459340,factor] hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459350 [binary:452166,459348] c2_1(a2555) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459352 [binary:452167,459348] c0_1(a2555) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 459591 [binary:452241,459142,binarycut:452242] -hskp16(0) | c1_1(a2540) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459605 [binary:452453,459591,factor:factor:factor] c1_1(a2540) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459608 [binary:456447,459605] -c0_1(a2540) | c2_1(a2540) | c3_1(a2540) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459611 [binary:452228,459145,binarycut:452227] -hskp25(0) | c3_1(a2564) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 459622 [binary:454479,459611,factor:factor:factor] c3_1(a2564) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 459649 [binary:458403,459622,factor:factor:factor:factor:factor] -c0_1(a2564) | c2_1(a2564) | c1_1(a2564) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 459720 [binary:452454,459608,factor:factor] c2_1(a2540) | c3_1(a2540) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459723 [binary:452241,459720,binarycut:452242] -hskp16(0) | -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459736 [binary:452453,459723,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | c1_1(X) | c0_1(Y).
% 459791 [binary:459321,459736] -c0_1(a2548) | c1_1(a2548) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 459793 [binary:459350,459736] -c0_1(a2555) | c1_1(a2555) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 459816 [binary:459263,459791,factor] c1_1(a2548) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 459818 [binary:452237,459816] -hskp19(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 459826 [binary:459259,459818,factor] -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 459831 [binary:452535,459826] -c1_1(a2526) | c0_1(a2526) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 459895 [binary:459352,459793,factor:factor] c1_1(a2555) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 459897 [binary:452229,459895] -hskp24(0) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 459904 [binary:459348,459897,factor] -c3_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 459909 [binary:452535,459904] -c1_1(a2526) | c0_1(a2526) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c0_1(X).
% 460064 [binary:452537,459831,factor:factor] c0_1(a2526) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 460066 [binary:452256,460064] -hskp9(0) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 460069 [binary:452534,460066,factor] -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 460071 [binary:452431,460069] c2_1(a2614) | c3_1(a2614) | c0_1(a2614) | hskp23(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460095 [binary:452224,460071,binarycut:452222] c3_1(a2614) | c0_1(a2614) | hskp23(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460098 [binary:452225,460095,binarycut:452222] c0_1(a2614) | hskp23(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460100 [binary:456449,460098] c2_1(a2614) | c3_1(a2614) | hskp23(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460104 [binary:452224,460100,binarycut:452222] c3_1(a2614) | hskp23(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460108 [binary:452225,460104,binarycut:452222] hskp23(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460110 [binary:452165,460108] c0_1(a2553) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460112 [binary:459137,460110] c2_1(a2553) | c3_1(a2553) | c1_1(a2553) | -c0_1(X) | c2_1(X) | c3_1(X).
% 460194 [binary:452537,459909,factor:factor] c0_1(a2526) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c0_1(X).
% 460196 [binary:452256,460194] -hskp9(0) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(X) | c0_1(X).
% 460200 [binary:452534,460196,factor:factor] -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(X) | c0_1(X).
% 460207 [binary:452473,460200] -c0_1(a2551) | c2_1(a2551) | hskp26(0) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460264 [binary:452474,460207] c2_1(a2551) | hskp26(0) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460266 [binary:452234,460264] -hskp21(0) | hskp26(0) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460272 [binary:452189,460266] hskp26(0) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460274 [binary:452169,460272] c3_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460276 [binary:452170,460272] c0_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460286 [binary:454355,460274,factor:factor] -c0_1(a2601) | c2_1(a2601) | c1_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460292 [binary:460276,460286,factor:factor] c2_1(a2601) | c1_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460294 [binary:452226,460292] -hskp26(0) | c1_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460301 [binary:460272,460294,factor] c1_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460304 [binary:460200,460301,factor:factor] -c0_1(a2601) | c2_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460308 [binary:460276,460304,factor:factor] c2_1(a2601) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460310 [binary:452226,460308] -hskp26(0) | hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460317 [binary:460272,460310,factor] hskp30(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460319 [binary:452178,460317] c2_1(a2558) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460321 [binary:452179,460317] c1_1(a2558) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460322 [binary:452180,460317] c0_1(a2558) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 460330 [binary:453476,460319] -c3_1(a2558) | -c1_1(a2558) | -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X) | c0_1(Y).
% 460331 [binary:453540,460319] -c1_1(a2558) | -c0_1(a2558) | c3_1(a2558) | -c3_1(X) | -c1_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 461472 [binary:454481,459649,factor:factor:factor:factor] c2_1(a2564) | c1_1(a2564) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 461475 [binary:452228,461472,binarycut:452227] -hskp25(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 461489 [binary:454479,461475,factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Y).
% 461512 [binary:456525,461489,factor:factor] -c1_1(a2523) | -c0_1(a2523) | c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 461541 [binary:452556,461512,factor:factor] -c0_1(a2523) | c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 461545 [binary:452557,461541,factor] c3_1(a2523) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 461547 [binary:452259,461545] -hskp6(0) | hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 461551 [binary:452555,461547,factor] hskp20(0) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 461553 [binary:452161,461551] c2_1(a2549) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 461562 [binary:452438,461553,factor:factor:factor] c1_1(a2549) | c0_1(a2549) | -c2_1(X) | -c2_1(Y) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 461607 [binary:452236,461562,binarycut:452235] -hskp20(0) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c1_1(Y).
% 461619 [binary:461551,461607,factor] -c2_1(Y) | -c2_1(X) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c3_1(Y) | c1_1(X).
% 461661 [binary:460112,461619] -c0_1(a2553) | c3_1(a2553) | c1_1(a2553) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 461680 [binary:460110,461661,factor:factor] c3_1(a2553) | c1_1(a2553) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 461921 [binary:452231,461680,binarycut:452230] -hskp23(0) | -c2_1(X) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 461931 [binary:460108,461921,factor] -c2_1(X) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 461968 [binary:459321,461931,factor:factor] -c3_1(a2548) | -c0_1(a2548) | c1_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 461979 [binary:459261,461968,factor:factor] -c0_1(a2548) | c1_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 461986 [binary:459263,461979,factor] c1_1(a2548) | -c0_1(X) | c2_1(X) | c3_1(X).
% 461988 [binary:452237,461986] -hskp19(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 461997 [binary:459259,461988,factor] -c0_1(X) | c2_1(X) | c3_1(X).
% 463579 [binary:460321,460331,factor:factor] -c0_1(a2558) | c3_1(a2558) | -c3_1(X) | -c1_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 463587 [binary:460322,463579,factor:factor] c3_1(a2558) | -c3_1(X) | -c1_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 463592 [binary:460330,463587,factor:factor:factor:factor] -c1_1(a2558) | -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X) | c0_1(Y).
% 463595 [binary:460321,463592,factor] -c0_1(a2558) | -c3_1(X) | -c1_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(X) | c0_1(Y).
% 463598 [binary:460322,463595,factor] -c3_1(X) | -c1_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 463605 [binary:452504,463598,factor:factor:factor:factor] c2_1(a2541) | c1_1(a2541) | c0_1(a2541) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 464156 [binary:452240,463605,binarycut:452239] -hskp17(0) | c0_1(a2541) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 464165 [binary:452503,464156,factor:factor:factor:factor] c0_1(a2541) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 464169 [binary:454368,464165,factor:factor:factor:factor] c2_1(a2541) | c1_1(a2541) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 464172 [binary:452240,464169,binarycut:452239] -hskp17(0) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 464183 [binary:452503,464172,factor:factor] -c3_1(X) | -c1_1(Y) | -c1_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 464192 [binary:452535,464183,factor:factor:factor] -c1_1(a2526) | c0_1(a2526) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 464227 [binary:452537,464192,factor:factor] c0_1(a2526) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 464229 [binary:452256,464227] -hskp9(0) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 464236 [binary:452534,464229,factor] -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 464238 [binary:452431,464236] c2_1(a2614) | c3_1(a2614) | c0_1(a2614) | hskp23(0).
% 464239 [binary:452458,464236] c2_1(a2518) | c3_1(a2518) | c0_1(a2518) | hskp3(0) | hskp27(0).
% 464261 [binary:452224,464238,binarycut:452222] c3_1(a2614) | c0_1(a2614) | hskp23(0).
% 464264 [binary:452225,464261,binarycut:452222] c0_1(a2614) | hskp23(0).
% 464266 [binary:461997,464264] c2_1(a2614) | c3_1(a2614) | hskp23(0).
% 464269 [binary:452224,464266,binarycut:452222] c3_1(a2614) | hskp23(0).
% 464272 [binary:452225,464269,binarycut:452222] hskp23(0).
% 464273 [binary:452165,464272] c0_1(a2553).
% 464274 [binary:461997,464273] c2_1(a2553) | c3_1(a2553).
% 464276 [binary:452436,464274,cut:464273] c3_1(a2553) | c1_1(a2553) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c0_1(X).
% 464277 [binary:452439,464274,cut:464273] c3_1(a2553) | -c2_1(X) | -c2_1(Y) | -c3_1(X) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 464278 [binary:452440,464274,cut:464273] c3_1(a2553) | c1_1(a2553) | -c2_1(X) | -c2_1(Y) | -c1_1(X) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 464283 [binary:459736,464274,cut:464273] c3_1(a2553) | c1_1(a2553) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 464285 [binary:461619,464274,cut:464273] c3_1(a2553) | -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 464288 [binary:452231,464285,cut:464272] -c2_1(X) | -c3_1(X) | -c0_1(X) | c1_1(X).
% 464294 [binary:452635,464288] -c3_1(a2521) | -c0_1(a2521) | c1_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464296 [binary:452689,464288] -c3_1(a2521) | -c0_1(a2521) | c1_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 464323 [binary:452231,464283,cut:464272] c1_1(a2553) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 464325 [binary:452230,464323,cut:464272] -c3_1(X) | -c1_1(X) | c0_1(X).
% 464333 [binary:452634,464325] -c1_1(a2521) | c0_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464352 [binary:455539,464325] -c1_1(a2556) | c0_1(a2556) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 464384 [binary:455542,464352,factor] c0_1(a2556) | -c2_1(X) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 464394 [binary:455938,464384,factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c3_1(X) | c1_1(Y) | c0_1(Y).
% 464469 [binary:456558,464394,factor] -c1_1(a2523) | -c0_1(a2523) | c3_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464474 [binary:452231,464277,cut:464272] -c2_1(Y) | -c2_1(X) | -c3_1(X) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 464575 [binary:452634,464294,factor] -c0_1(a2521) | c1_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464589 [binary:452687,464296,factor] -c0_1(a2521) | c1_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 464608 [binary:452701,464469,factor] -c0_1(a2523) | c3_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464613 [binary:452703,464608,factor] c3_1(a2523) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464618 [binary:452259,464613] -hskp6(0) | hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464623 [binary:452700,464618,factor] hskp7(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464625 [binary:452144,464623] c3_1(a2524) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464626 [binary:452145,464623] c1_1(a2524) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464630 [binary:464325,464625] -c1_1(a2524) | c0_1(a2524) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464636 [binary:464626,464630,factor:factor] c0_1(a2524) | -c3_1(X) | c1_1(X) | c0_1(X).
% 464673 [binary:452231,464276,cut:464272] c1_1(a2553) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c0_1(X).
% 464675 [binary:452230,464673,cut:464272] -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c0_1(X).
% 464723 [binary:464625,464675,factor] -c1_1(a2524) | -c0_1(a2524) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 464731 [binary:464626,464723,factor] -c0_1(a2524) | -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 464736 [binary:464636,464731,factor] -c3_1(X) | c2_1(X) | c1_1(X) | c0_1(X).
% 464738 [binary:452621,464736] c2_1(a2528) | c1_1(a2528) | c0_1(a2528) | hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464739 [binary:452641,464736] c2_1(a2518) | c1_1(a2518) | c0_1(a2518) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 464797 [binary:464474,464738,factor:factor] c1_1(a2528) | c0_1(a2528) | hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464802 [binary:452231,464278,cut:464272] c1_1(a2553) | -c2_1(X) | -c2_1(Y) | -c1_1(X) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 464805 [binary:452255,464797,binarycut:452254] -hskp10(0) | hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464817 [binary:452620,464805,factor] hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464819 [binary:452157,464817] c2_1(a2545) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464820 [binary:452158,464817] c1_1(a2545) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464842 [binary:452230,464802,cut:464272] -c2_1(Y) | -c2_1(X) | -c1_1(X) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 464850 [binary:452635,464842,factor:factor] c1_1(a2521) | c0_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464875 [binary:464333,464850,factor:factor] c0_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464879 [binary:464575,464875,factor] c1_1(a2521) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464881 [binary:452261,464879] -hskp4(0) | hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464895 [binary:452633,464881,factor] hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464897 [binary:452154,464895] c3_1(a2539) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464902 [binary:464325,464897] -c1_1(a2539) | c0_1(a2539) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464906 [binary:464736,464897] c2_1(a2539) | c1_1(a2539) | c0_1(a2539) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464911 [binary:452244,464906,binarycut:452243] -hskp15(0) | c1_1(a2539) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464922 [binary:464895,464911,factor] c1_1(a2539) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464926 [binary:464902,464922,factor:factor] c0_1(a2539) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464929 [binary:452243,464926] -hskp15(0) | -c2_1(X) | -c1_1(X) | c0_1(X).
% 464932 [binary:464895,464929,factor] -c2_1(X) | -c1_1(X) | c0_1(X).
% 464961 [binary:464239,464932] -c1_1(a2518) | c3_1(a2518) | c0_1(a2518) | hskp3(0) | hskp27(0).
% 464965 [binary:464819,464932] -c1_1(a2545) | c0_1(a2545) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464976 [binary:464820,464965,factor:factor] c0_1(a2545) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464978 [binary:452238,464976] -hskp18(0) | -c2_1(X) | -c3_1(X) | c0_1(X).
% 464987 [binary:464817,464978,factor] -c2_1(X) | -c3_1(X) | c0_1(X).
% 464995 [binary:452689,464987] -c3_1(a2521) | c0_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465020 [binary:464739,464987] -c3_1(a2518) | c1_1(a2518) | c0_1(a2518) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 465023 [binary:452458,464961] c3_1(a2518) | c0_1(a2518) | hskp3(0) | hskp27(0).
% 465026 [binary:452266,465023,binarycut:452265] -hskp2(0) | hskp3(0) | hskp27(0).
% 465030 [binary:452184,465026] hskp3(0) | hskp27(0).
% 465158 [binary:452687,464995,factor:factor] c0_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465161 [binary:464589,465158,factor] c1_1(a2521) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465163 [binary:452261,465161] -hskp4(0) | hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465172 [binary:452686,465163,factor] hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465174 [binary:452153,465172] c1_1(a2534) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465178 [binary:464236,465174] c2_1(a2534) | c3_1(a2534) | c0_1(a2534) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465182 [binary:452641,465020,factor:factor] c1_1(a2518) | c0_1(a2518) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 465223 [binary:452249,465178,binarycut:452248] -hskp13(0) | c3_1(a2534) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465240 [binary:465172,465223,factor:factor] c3_1(a2534) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465245 [binary:464325,465240] -c1_1(a2534) | c0_1(a2534) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465251 [binary:465174,465245,factor:factor] c0_1(a2534) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465253 [binary:452248,465251] -hskp13(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 465256 [binary:465172,465253,factor] -c1_1(X) | c3_1(X) | c0_1(X).
% 465263 [binary:465182,465256] c3_1(a2518) | c0_1(a2518) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 465266 [binary:452266,465263,binarycut:452265] -hskp2(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 465271 [binary:452638,465266,factor] -c2_1(X) | -c0_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 465341 [binary:464274,465271,cut:464273] c3_1(a2553) | c1_1(a2553) | c3_1(X) | c1_1(X) | c0_1(X).
% 465346 [binary:452231,465341,cut:464272] c1_1(a2553) | c3_1(X) | c1_1(X) | c0_1(X).
% 465348 [binary:452230,465346,cut:464272] c3_1(X) | c1_1(X) | c0_1(X).
% 465380 [binary:464736,465348] c2_1(X) | c1_1(X) | c0_1(X).
% 465432 [binary:464987,465380] -c3_1(X) | c1_1(X) | c0_1(X).
% 465451 [binary:465348,465432] c1_1(X) | c0_1(X).
% 465472 [binary:465256,465451] c3_1(X) | c0_1(X).
% 465487 [binary:452264,465472,binarycut:452262] -hskp3(0).
% 465496 [binary:464325,465472,binarycut:465451] c0_1(X).
% 465503 [binary:461997,465496] c2_1(X) | c3_1(X).
% 465506 [binary:465030,465487] hskp27(0).
% 465512 [binary:452224,465503,cut:465506] c3_1(a2614).
% 465525 [binary:452225,465512,cut:465506] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using weight-order strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 23397
% derived clauses: 1170662
% kept clauses: 251305
% kept size sum: 659580
% kept mid-nuclei: 106480
% kept new demods: 0
% forw unit-subs: 95
% forw double-subs: 96474
% forw overdouble-subs: 536326
% backward subs: 6454
% fast unit cutoff: 16854
% full unit cutoff: 0
% dbl unit cutoff: 20265
% real runtime: 263.78
% process. runtime: 262.13
% specific non-discr-tree subsumption statistics:
% tried: 106937336
% length fails: 678069
% strength fails: 35108255
% predlist fails: 57339336
% aux str. fails: 1112935
% by-lit fails: 9104651
% full subs tried: 1651200
% full subs fail: 1572961
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SYN/SYN489-1+noeq.in")
%
%------------------------------------------------------------------------------