TSTP Solution File: SYN498-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN498-1 : 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 : art03.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 258.7s
% Output : Assurance 258.7s
% 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/SYN498-1+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(204,40,0,408,0,1,296563,5,3002,296564,1,3002,296564,50,3002,296564,40,3002,296768,0,3002,297002,50,3003,297206,0,3003,297440,50,3003,297644,0,3004,297878,50,3004,298082,0,3004,298316,50,3005,298520,0,3005,298754,50,3006,298958,0,3006,299192,50,3007,299396,0,3007,299630,50,3008,299834,0,3008,300068,50,3009,300272,0,3009,300506,50,3010,300710,0,3010,300944,50,3011,301148,0,3011,301382,50,3012,301586,0,3012,301820,50,3013,302024,0,3013,302258,50,3014,302462,0,3014,302696,50,3015,302900,0,3015,303134,50,3016,303338,0,3016,303572,50,3017,303776,0,3017,304010,50,3018,304214,0,3019,304448,50,3020,304652,0,3020,304886,50,3021,305090,0,3021,305324,50,3022,305528,0,3022,305762,50,3023,305762,40,3023,305966,0,3023,321826,3,3924,325498,4,4374,327776,1,4824,327776,50,4824,327776,40,4824,327980,0,4824,444428,3,9326,445171,4,11576,449094,5,13826,449095,1,13826,449095,50,13829,449095,40,13829,449299,0,13829,492725,3,15342,493520,4,16080,494904,1,16830,494904,50,16831,494904,40,16831,495108,0,16831,560728,3,19533,561578,4,20882,562505,5,22232,562506,1,22232,562506,50,22234,562506,40,22234,562710,0,22234,605098,3,23739,605885,4,24485,607296,5,25235,607297,1,25235,607297,50,25236,607297,40,25236,607501,0,25237,607735,50,25237,607735,40,25237,607939,0,25242)
%
%
% START OF PROOF
% 607736 [] -ndr1_0(0) | -c1_1(X) | -c3_1(Z) | -c3_1(Y) | -c3_1(X) | -c2_1(Z) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c0_1(Z).
% 607737 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | -c3_1(Z) | -c0_1(Y) | -c0_1(Z) | -c0_1(X) | c3_1(X) | c2_1(Z) | c2_1(Y).
% 607738 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | -c3_1(Y) | -c3_1(Z) | -c3_1(X) | -c0_1(X) | c1_1(Z) | c2_1(Z) | c2_1(Y).
% 607739 [] -ndr1_0(0) | -c1_1(X) | -c3_1(Z) | -c3_1(Y) | -c2_1(X) | -c0_1(Y) | c1_1(Z) | c3_1(X) | c2_1(Z) | c2_1(Y).
% 607740 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | -c3_1(Z) | -c2_1(X) | c3_1(Y) | c3_1(X) | c2_1(Z) | c2_1(Y) | c0_1(Z).
% 607742 [] -ndr1_0(0) | -c1_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Z) | c3_1(X) | c2_1(Z) | c0_1(Z).
% 607743 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | -c3_1(X) | -c0_1(Y) | c1_1(Z) | c3_1(Z) | c2_1(X) | c2_1(Y) | c0_1(Z).
% 607744 [] -ndr1_0(0) | -c3_1(Y) | -c3_1(X) | -c0_1(Z) | c1_1(Y) | c1_1(Z) | c2_1(X) | c2_1(Z) | c0_1(Y) | c0_1(X).
% 607747 [] -ndr1_0(0) | -c2_1(X) | -c0_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(X) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c0_1(X).
% 607748 [] -ndr1_0(0) | -c3_1(X) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c2_1(Y) | c0_1(Z).
% 607749 [] -ndr1_0(0) | -c1_1(X) | -c2_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Z) | c2_1(X) | c0_1(Z).
% 607752 [] -ndr1_0(0) | hskp6(0) | -c1_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c3_1(Y) | c3_1(X).
% 607756 [?] ?
% 607759 [?] ?
% 607760 [?] ?
% 607764 [?] ?
% 607766 [?] ?
% 607768 [?] ?
% 607769 [?] ?
% 607770 [?] ?
% 607771 [?] ?
% 607777 [?] ?
% 607779 [?] ?
% 607780 [?] ?
% 607791 [?] ?
% 607798 [?] ?
% 607799 [?] ?
% 607803 [?] ?
% 607806 [?] ?
% 607807 [?] ?
% 607808 [] -hskp0(0) | c2_1(a1).
% 607809 [] -hskp0(0) | c1_1(a1).
% 607810 [] -hskp2(0) | c3_1(a3).
% 607811 [] -hskp2(0) | c1_1(a3).
% 607812 [] -hskp3(0) | c3_1(a7).
% 607813 [] -hskp3(0) | c0_1(a7).
% 607815 [] -hskp5(0) | c0_1(a11).
% 607817 [] -hskp9(0) | c1_1(a16).
% 607818 [] -hskp9(0) | c0_1(a16).
% 607819 [] -hskp10(0) | c3_1(a18).
% 607821 [] -hskp12(0) | c2_1(a20).
% 607822 [] -hskp13(0) | c2_1(a21).
% 607823 [] -hskp13(0) | c0_1(a21).
% 607824 [] -hskp14(0) | c3_1(a22).
% 607825 [] -hskp14(0) | c2_1(a22).
% 607826 [] -hskp16(0) | c3_1(a27).
% 607827 [] -hskp16(0) | c0_1(a27).
% 607828 [] -hskp17(0) | c3_1(a28).
% 607829 [] -hskp18(0) | c1_1(a31).
% 607834 [] -hskp21(0) | c1_1(a38).
% 607835 [] -hskp21(0) | c0_1(a38).
% 607836 [] -hskp22(0) | c2_1(a42).
% 607837 [] -hskp22(0) | c0_1(a42).
% 607839 [] -hskp24(0) | c2_1(a58).
% 607840 [] -hskp25(0) | c0_1(a70).
% 607841 [] -hskp26(0) | c2_1(a99).
% 607842 [] -hskp26(0) | c1_1(a99).
% 607843 [] -hskp27(0) | c3_1(a12).
% 607844 [] -hskp27(0) | c1_1(a12).
% 607845 [] -hskp27(0) | c0_1(a12).
% 607846 [] -hskp28(0) | c3_1(a25).
% 607847 [] -hskp28(0) | c2_1(a25).
% 607848 [] -hskp28(0) | c1_1(a25).
% 607849 [] -hskp29(0) | c2_1(a35).
% 607850 [] -hskp29(0) | c1_1(a35).
% 607851 [] -hskp29(0) | c0_1(a35).
% 607855 [] hskp1(0) | hskp20(0) | hskp28(0).
% 607857 [] hskp5(0) | hskp25(0) | hskp28(0).
% 607859 [] hskp2(0) | hskp9(0) | hskp17(0).
% 607860 [] hskp13(0) | hskp21(0) | hskp24(0).
% 607861 [] hskp8(0) | hskp13(0) | hskp27(0).
% 607862 [] hskp14(0) | hskp26(0) | hskp29(0).
% 607864 [] -hskp1(0) | ndr1_0(0).
% 607883 [] -hskp20(0) | ndr1_0(0).
% 607891 [] -hskp28(0) | ndr1_0(0).
% 607895 [] -c1_1(a70) | -hskp25(0).
% 607896 [] -c3_1(a70) | -hskp25(0).
% 607897 [] -c0_1(a58) | -hskp24(0).
% 607898 [] -c1_1(a58) | -hskp24(0).
% 607901 [] -c1_1(a42) | -hskp22(0).
% 607902 [] -c2_1(a38) | -hskp21(0).
% 607905 [] -c0_1(a31) | -hskp18(0).
% 607906 [] -c3_1(a31) | -hskp18(0).
% 607907 [] -c0_1(a28) | -hskp17(0).
% 607908 [] -c2_1(a28) | -hskp17(0).
% 607909 [] -c1_1(a27) | -hskp16(0).
% 607913 [] -c0_1(a22) | -hskp14(0).
% 607914 [] -c3_1(a21) | -hskp13(0).
% 607915 [] -c1_1(a20) | -hskp12(0).
% 607916 [] -c3_1(a20) | -hskp12(0).
% 607919 [] -c0_1(a18) | -hskp10(0).
% 607920 [] -c1_1(a18) | -hskp10(0).
% 607921 [] -c3_1(a16) | -hskp9(0).
% 607922 [] -c1_1(a15) | -hskp8(0).
% 607923 [] -c2_1(a15) | -hskp8(0).
% 607924 [] -c3_1(a15) | -hskp8(0).
% 607927 [] -c0_1(a13) | -hskp6(0).
% 607928 [] -c1_1(a13) | -hskp6(0).
% 607929 [] -c3_1(a13) | -hskp6(0).
% 607930 [] -c1_1(a11) | -hskp5(0).
% 607931 [] -c2_1(a11) | -hskp5(0).
% 607934 [] -c2_1(a7) | -hskp3(0).
% 607935 [] -c2_1(a3) | -hskp2(0).
% 607936 [] -c0_1(a2) | -hskp1(0).
% 607937 [] -c2_1(a2) | -hskp1(0).
% 607938 [] -c3_1(a2) | -hskp1(0).
% 607939 [] -c3_1(a1) | -hskp0(0).
% 608099 [binary:607864,607855,binarycut:607883,binarycut:607891] ndr1_0(0).
% 608106 [binary:607737,608099] -c1_1(X) | -c1_1(Y) | -c3_1(Z) | -c0_1(Z) | -c0_1(Y) | -c0_1(X) | c3_1(Y) | c2_1(Z) | c2_1(X).
% 608107 [binary:607738,608099] -c1_1(X) | -c1_1(Y) | -c3_1(Y) | -c3_1(X) | -c3_1(Z) | -c0_1(Y) | c1_1(Z) | c2_1(Z) | c2_1(X).
% 608109 [binary:607740,608099] -c1_1(X) | -c1_1(Y) | -c3_1(Z) | -c2_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Z) | c0_1(Z).
% 608111 [binary:607742,608099] -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Z) | c2_1(Z) | c0_1(Z).
% 608117 [binary:607748,608099] -c3_1(X) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Y) | c2_1(Z) | c0_1(Z).
% 608118 [binary:607749,608099] -c1_1(X) | -c2_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Z) | c0_1(Z).
% 608126 [binary:607815,607857] c0_1(a11) | hskp25(0) | hskp28(0).
% 608131 [binary:607810,607859] c3_1(a3) | hskp9(0) | hskp17(0).
% 608132 [binary:607811,607859] c1_1(a3) | hskp9(0) | hskp17(0).
% 608138 [binary:607822,607860] c2_1(a21) | hskp21(0) | hskp24(0).
% 608139 [binary:607823,607860] c0_1(a21) | hskp21(0) | hskp24(0).
% 608142 [binary:607824,607862] c3_1(a22) | hskp26(0) | hskp29(0).
% 608143 [binary:607825,607862] c2_1(a22) | hskp26(0) | hskp29(0).
% 608146 [input:607756,cut:608099] hskp6(0) | -c1_1(X) | -c1_1(Y) | -c2_1(Y) | -c0_1(Y) | c2_1(X) | c0_1(X).
% 608164 [input:607759,cut:608099] hskp18(0) | -c2_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c1_1(X) | c3_1(Y).
% 608174 [input:607752,factor:cut:608099] hskp6(0) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 608175 [input:607760,cut:608099] hskp6(0) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 608176 [input:607759,factor:cut:608099] hskp18(0) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 608177 [binary:607829,608176] c1_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 608180 [input:607760,factor:cut:608099] hskp6(0) | -c1_1(X) | -c2_1(X) | c3_1(X) | c0_1(X).
% 608181 [input:607771,cut:608099] hskp3(0) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 608182 [binary:607812,608181] c3_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 608183 [binary:607813,608181] c0_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 608216 [input:607777,cut:608099] hskp10(0) | hskp21(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 608217 [binary:607819,608216] c3_1(a18) | hskp21(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 608219 [input:607764,cut:608099] hskp1(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 608232 [input:607766,cut:608099] hskp6(0) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 608235 [input:607779,cut:608099] hskp9(0) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 608236 [binary:607817,608235] c1_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 608237 [binary:607818,608235] c0_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 608246 [input:607780,cut:608099] hskp6(0) | hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 608254 [input:607768,cut:608099] hskp0(0) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 608255 [binary:607808,608254] c2_1(a1) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 608257 [binary:607809,608254] c1_1(a1) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 608267 [input:607769,cut:608099] hskp2(0) | -c3_1(X) | -c2_1(Y) | c1_1(Y) | c1_1(X) | c2_1(X) | c0_1(Y).
% 608268 [binary:607810,608267] c3_1(a3) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 608269 [binary:607811,608267] c1_1(a3) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 608270 [binary:607811,608267,factor] -c3_1(a3) | c1_1(a3) | c2_1(a3) | -c2_1(X) | c1_1(X) | c0_1(X).
% 608280 [input:607770,cut:608099] hskp5(0) | -c2_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 608281 [binary:607815,608280] c0_1(a11) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 608307 [input:607791,cut:608099] hskp12(0) | hskp22(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 608308 [binary:607821,608307] c2_1(a20) | hskp22(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 608340 [input:607798,cut:608099] hskp3(0) | hskp18(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 608341 [binary:607812,608340] c3_1(a7) | hskp18(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 608343 [binary:607813,608340] c0_1(a7) | hskp18(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 608348 [input:607799,cut:608099] hskp16(0) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 608349 [binary:607826,608348] c3_1(a27) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 608351 [binary:607827,608348] c0_1(a27) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 608369 [input:607803,cut:608099] hskp0(0) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 608370 [binary:607808,608369] c2_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 608371 [binary:607809,608369] c1_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 608390 [input:607806,cut:608099] hskp1(0) | hskp2(0) | c1_1(X) | c3_1(X) | c0_1(X).
% 608391 [input:607807,cut:608099] hskp0(0) | hskp1(0) | c1_1(X) | c3_1(X) | c0_1(X).
% 608392 [binary:607808,608391] c2_1(a1) | hskp1(0) | c1_1(X) | c3_1(X) | c0_1(X).
% 608393 [binary:607809,608391] c1_1(a1) | hskp1(0) | c1_1(X) | c3_1(X) | c0_1(X).
% 608396 [input:607736,factor:factor:factor:cut:608099] -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(X) | c0_1(Y).
% 608462 [input:607737,factor:cut:608099] -c1_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c3_1(X) | c2_1(Y) | c2_1(X).
% 608466 [binary:608236,608462,factor:factor:factor] -c0_1(a16) | c3_1(a16) | c2_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 608500 [input:607739,factor:cut:608099] -c1_1(X) | -c3_1(Y) | -c2_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 608507 [binary:608236,608500,factor] -c2_1(a16) | c3_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 608538 [input:607743,factor:cut:608099] -c1_1(X) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 608563 [input:607744,factor:cut:608099] -c3_1(X) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c2_1(X) | c2_1(Y) | c0_1(X).
% 608564 [binary:608217,608563] c1_1(a18) | c2_1(a18) | c0_1(a18) | hskp21(0) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 608602 [input:607747,factor:cut:608099] -c2_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X).
% 608608 [binary:608308,608602,factor:factor] c3_1(a20) | c0_1(a20) | hskp22(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 608634 [input:607748,factor:factor:cut:608099] -c3_1(X) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 608834 [binary:608132,608107] -c3_1(a3) | c2_1(a3) | hskp9(0) | hskp17(0) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 608876 [binary:608269,608107,factor:factor:factor] -c3_1(a3) | c2_1(a3) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c2_1(Z) | -c0_1(X) | c1_1(Y) | c1_1(Z) | c2_1(Y) | c0_1(Z).
% 608923 [binary:607916,608608] -hskp12(0) | c0_1(a20) | hskp22(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 608931 [binary:608307,608923,factor] c0_1(a20) | hskp22(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 608963 [binary:608237,608466,factor:factor] c3_1(a16) | c2_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 608965 [binary:607921,608963] -hskp9(0) | c2_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 608973 [binary:608235,608965,factor:factor] c2_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 609008 [binary:608507,608973,factor] c3_1(a16) | hskp29(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609010 [binary:607921,609008] -hskp9(0) | hskp29(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609015 [binary:608235,609010,factor] hskp29(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609017 [binary:607849,609015] c2_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609019 [binary:607850,609015] c1_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609021 [binary:607851,609015] c0_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609027 [binary:608177,608111,factor:factor:factor] -c2_1(a31) | c3_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609068 [binary:608396,609019] -c3_1(a35) | -c2_1(a35) | -c0_1(a35) | -c3_1(X) | -c3_1(Y) | -c2_1(X) | -c0_1(Y) | c1_1(Y) | c2_1(Y) | c0_1(X).
% 609070 [binary:608500,609019,factor] -c2_1(a35) | c3_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609075 [binary:609017,609070,factor] c3_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 609182 [binary:608349,608117,factor:factor] -c2_1(a27) | c1_1(a27) | hskp17(0) | -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(X).
% 609189 [binary:608177,608118,factor:factor] c3_1(a31) | c2_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609296 [binary:607906,609189] -hskp18(0) | c2_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609333 [binary:608164,609296,factor:factor] c2_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609349 [binary:609027,609333,factor:factor:factor:factor:factor] c3_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609353 [binary:607906,609349] -hskp18(0) | -c2_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609362 [binary:608164,609353,factor:factor] -c2_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 609369 [binary:608308,609362] -c0_1(a20) | c1_1(a20) | c3_1(a20) | hskp22(0) | -c0_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 610138 [binary:607920,608564,binarycut:607919] -hskp10(0) | c2_1(a18) | hskp21(0) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610149 [binary:608216,610138,factor] c2_1(a18) | hskp21(0) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610280 [binary:609075,609068,factor:factor] -c2_1(a35) | -c0_1(a35) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | -c0_1(X) | c1_1(X) | c2_1(X) | c0_1(Y).
% 610285 [binary:609017,610280,factor:factor] -c0_1(a35) | -c3_1(Y) | -c3_1(X) | -c2_1(Y) | -c0_1(X) | c1_1(X) | c2_1(X) | c0_1(Y).
% 610288 [binary:609021,610285,factor:factor] -c3_1(Y) | -c3_1(X) | -c2_1(Y) | -c0_1(X) | c1_1(X) | c2_1(X) | c0_1(Y).
% 610293 [binary:608217,610288] -c2_1(a18) | c0_1(a18) | hskp21(0) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610423 [binary:610149,610293,factor:factor] c0_1(a18) | hskp21(0) | -c1_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610426 [binary:607919,610423] -hskp10(0) | hskp21(0) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610430 [binary:608216,610426,factor] hskp21(0) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610432 [binary:607834,610430] c1_1(a38) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610434 [binary:607835,610430] c0_1(a38) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610455 [binary:608106,610432,factor:factor:factor:factor:factor:factor:factor:factor] -c0_1(a38) | c2_1(a38) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610477 [binary:610434,610455,factor:factor:factor:factor] c2_1(a38) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610493 [binary:607902,610477] -hskp21(0) | -c1_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610504 [binary:610430,610493,factor:factor] -c1_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y).
% 610693 [binary:608131,608834] c2_1(a3) | hskp9(0) | hskp17(0) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610700 [binary:607935,610693] -hskp2(0) | hskp9(0) | hskp17(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610710 [binary:607859,610700] hskp9(0) | hskp17(0) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610712 [binary:607817,610710] c1_1(a16) | hskp17(0) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610714 [binary:607818,610710] c0_1(a16) | hskp17(0) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610771 [binary:610504,610712,factor:factor:factor] -c0_1(a16) | c3_1(a16) | hskp17(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c2_1(Y).
% 610802 [binary:610714,610771,factor:factor] c3_1(a16) | hskp17(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610804 [binary:607921,610802] -hskp9(0) | hskp17(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610835 [binary:610710,610804,factor:factor:factor] hskp17(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c2_1(Y).
% 610837 [binary:607828,610835] c3_1(a28) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610840 [binary:608563,610837,factor:factor:factor:factor] c1_1(a28) | c2_1(a28) | c0_1(a28) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c2_1(Y).
% 610852 [binary:608107,610840,factor:factor:factor:factor:factor:factor:factor:factor] -c3_1(a28) | c2_1(a28) | c0_1(a28) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610861 [binary:610837,610852,factor:factor:factor:factor] c2_1(a28) | c0_1(a28) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610864 [binary:607908,610861,binarycut:607907] -hskp17(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 610880 [binary:610835,610864,factor:factor] -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c2_1(Y).
% 610915 [binary:609019,610880,factor:factor:factor] -c3_1(a35) | -c0_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 610926 [binary:609075,610915,factor:factor] -c0_1(a35) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 610929 [binary:609021,610926,factor] -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 610931 [binary:608182,610929] -c0_1(a7) | c1_1(a7) | c2_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 610936 [binary:608341,610929] -c0_1(a7) | c1_1(a7) | c2_1(a7) | hskp18(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 610937 [binary:608349,610929] -c0_1(a27) | c1_1(a27) | c2_1(a27) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 610945 [binary:608183,610931,factor] c1_1(a7) | c2_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 610949 [binary:608538,610945] -c3_1(a7) | -c0_1(a7) | c2_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c0_1(Y).
% 611012 [binary:608343,610936,factor] c1_1(a7) | c2_1(a7) | hskp18(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 611017 [binary:608538,611012] -c3_1(a7) | -c0_1(a7) | c2_1(a7) | hskp18(0) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c0_1(Y) | c0_1(X).
% 611025 [binary:608351,610937,factor] c1_1(a27) | c2_1(a27) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 611027 [binary:607909,611025] -hskp16(0) | c2_1(a27) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 611036 [binary:608348,611027,factor] c2_1(a27) | hskp17(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 611041 [binary:609182,611036,factor] c1_1(a27) | hskp17(0) | -c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(X).
% 611120 [binary:607909,611041] -hskp16(0) | hskp17(0) | -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(X).
% 611234 [binary:608348,611120,factor] hskp17(0) | -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(X).
% 611242 [binary:607828,611234,factor] -c1_1(a28) | c3_1(a28) | c2_1(a28) | c0_1(a28) | c1_1(X) | c3_1(X) | c2_1(X).
% 611767 [binary:608182,610949,factor] -c0_1(a7) | c2_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c0_1(Y).
% 611770 [binary:608183,611767,factor] c2_1(a7) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c0_1(Y).
% 611772 [binary:607934,611770] -hskp3(0) | hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c0_1(Y).
% 611781 [binary:608181,611772,factor] hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c0_1(Y).
% 611783 [binary:607839,611781] c2_1(a58) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c0_1(Y).
% 612080 [binary:608341,611017,factor] -c0_1(a7) | c2_1(a7) | hskp18(0) | -c2_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 612083 [binary:608343,612080,factor] c2_1(a7) | hskp18(0) | -c2_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 612085 [binary:607934,612083] -hskp3(0) | hskp18(0) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c0_1(X) | c0_1(Y).
% 612098 [binary:608340,612085,factor] hskp18(0) | -c2_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 612101 [binary:607829,612098,factor] c1_1(a31) | c3_1(a31) | c0_1(a31) | -c2_1(X) | c3_1(X) | c0_1(X).
% 612328 [binary:608268,608876,factor:factor:factor:factor] c2_1(a3) | -c1_1(X) | -c3_1(Y) | -c3_1(X) | -c2_1(Z) | -c0_1(X) | c1_1(Y) | c1_1(Z) | c2_1(Y) | c0_1(Z).
% 612342 [binary:607935,612328] -hskp2(0) | -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c2_1(Z) | -c0_1(X) | c1_1(Y) | c1_1(Z) | c2_1(Y) | c0_1(Z).
% 612357 [binary:608267,612342,factor:factor:factor:factor] -c1_1(X) | -c3_1(X) | -c3_1(Y) | -c2_1(Z) | -c0_1(X) | c1_1(Z) | c1_1(Y) | c2_1(Y) | c0_1(Z).
% 612399 [binary:608269,612357,factor:factor:factor:factor] -c3_1(a3) | -c0_1(a3) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 612434 [binary:608268,612399,factor:factor] -c0_1(a3) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 614552 [binary:608931,609369,factor:factor:factor] c1_1(a20) | c3_1(a20) | hskp22(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 614556 [binary:607915,614552,binarycut:607916] -hskp12(0) | hskp22(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614564 [binary:608307,614556,factor] hskp22(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614574 [binary:607836,614564] c2_1(a42) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 614577 [binary:607837,614564] c0_1(a42) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 614587 [binary:609362,614574,factor:factor:factor:factor:factor:factor:factor] -c0_1(a42) | c1_1(a42) | c3_1(a42) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614620 [binary:614577,614587,factor:factor:factor:factor:factor:factor:factor:factor:factor] c1_1(a42) | c3_1(a42) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614623 [binary:607901,614620] -hskp22(0) | c3_1(a42) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 614637 [binary:614564,614623,factor:factor:factor:factor:factor:factor] c3_1(a42) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614641 [binary:608634,614637,factor:factor:factor:factor] -c2_1(a42) | c1_1(a42) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 614658 [binary:614574,614641,factor:factor:factor:factor:factor:factor] c1_1(a42) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614660 [binary:607901,614658] -hskp22(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 614671 [binary:614564,614660,factor:factor] -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 614674 [binary:608126,614671] c1_1(a11) | c3_1(a11) | c2_1(a11) | hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614685 [binary:608281,614671,factor:factor:factor:factor:factor:factor:factor] c1_1(a11) | c3_1(a11) | c2_1(a11) | -c2_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 614717 [binary:607930,614674,binarycut:607931] -hskp5(0) | c3_1(a11) | hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614730 [binary:607857,614717] c3_1(a11) | hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614734 [binary:610929,614730] -c0_1(a11) | c1_1(a11) | c2_1(a11) | hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614738 [binary:608126,614734] c1_1(a11) | c2_1(a11) | hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614741 [binary:607930,614738,binarycut:607931] -hskp5(0) | hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614753 [binary:607857,614741] hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614755 [binary:607840,614753] c0_1(a70) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614768 [binary:614671,614755,factor:factor:factor:factor] c1_1(a70) | c3_1(a70) | c2_1(a70) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614772 [binary:607895,614768,binarycut:607896] -hskp25(0) | c2_1(a70) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614789 [binary:614753,614772,factor:factor] c2_1(a70) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614792 [binary:609362,614789,factor:factor:factor] -c0_1(a70) | c1_1(a70) | c3_1(a70) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614801 [binary:614755,614792,factor:factor:factor] c1_1(a70) | c3_1(a70) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614805 [binary:607895,614801,binarycut:607896] -hskp25(0) | hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614813 [binary:614753,614805,factor] hskp28(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614815 [binary:607846,614813] c3_1(a25) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614817 [binary:607847,614813] c2_1(a25) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614819 [binary:607848,614813] c1_1(a25) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 614888 [binary:607930,614685,binarycut:607931] -hskp5(0) | c3_1(a11) | -c2_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 614908 [binary:608280,614888,factor:factor:factor:factor:factor] c3_1(a11) | -c2_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 614914 [binary:610929,614908] -c0_1(a11) | c1_1(a11) | c2_1(a11) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 614996 [binary:608281,614914,factor:factor:factor:factor:factor:factor] c1_1(a11) | c2_1(a11) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 615001 [binary:607930,614996,binarycut:607931] -hskp5(0) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 615019 [binary:608280,615001,factor:factor] -c2_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 615040 [binary:611783,615019,factor:factor:factor] c1_1(a58) | c3_1(a58) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615045 [binary:607898,615040] -hskp24(0) | c3_1(a58) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615060 [binary:611781,615045,factor:factor:factor:factor] c3_1(a58) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615063 [binary:608634,615060,factor:factor:factor] -c2_1(a58) | c1_1(a58) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615087 [binary:611783,615063,factor:factor:factor:factor] c1_1(a58) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615089 [binary:607898,615087] -hskp24(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615101 [binary:611781,615089,factor:factor] -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 615180 [binary:614819,615101,factor] -c3_1(a25) | -c2_1(a25) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 615195 [binary:614815,615180,factor] -c2_1(a25) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 615200 [binary:614817,615195,factor] c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 615205 [binary:607922,615200,binarycut:607924,binarycut:607923] -hskp8(0) | c0_1(a15).
% 615207 [binary:607928,615200,binarycut:607929,binarycut:607927] -hskp6(0) | c2_1(a13).
% 615210 [binary:608109,615200] -c1_1(X) | -c3_1(Y) | -c2_1(X) | c3_1(Z) | c3_1(X) | c2_1(Y) | c2_1(Z) | c0_1(Y) | c0_1(Z).
% 615214 [binary:611242,615200] c3_1(a28) | c2_1(a28) | c0_1(a28) | c1_1(X) | c3_1(X) | c2_1(X).
% 615223 [binary:607861,615205] c0_1(a15) | hskp13(0) | hskp27(0).
% 615226 [binary:608146,615207] c2_1(a13) | -c1_1(X) | -c1_1(Y) | -c2_1(Y) | -c0_1(Y) | c2_1(X) | c0_1(X).
% 615227 [binary:608146,615207,factor] -c1_1(a13) | c2_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(X).
% 615228 [binary:608174,615207] c2_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 615230 [binary:608180,615207] c2_1(a13) | -c1_1(X) | -c2_1(X) | c3_1(X) | c0_1(X).
% 615231 [binary:608232,615207] c2_1(a13) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 615260 [binary:615200,615227] c3_1(a13) | c2_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(X).
% 615266 [binary:608563,615260] c1_1(a13) | c2_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c2_1(Y).
% 615387 [binary:608257,615210,factor:factor:factor:factor] -c2_1(a1) | c3_1(a1) | -c3_1(Y) | -c3_1(X) | -c2_1(X) | c3_1(Z) | c2_1(Z) | c2_1(Y) | c0_1(Z) | c0_1(Y) | c0_1(X).
% 615715 [binary:615227,615266,factor:factor] c2_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c2_1(Y).
% 615719 [binary:608602,615715,factor:factor] c3_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y).
% 615728 [binary:607929,615719,binarycut:607927] -hskp6(0) | -c1_1(X) | -c2_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c2_1(Y).
% 615736 [binary:608146,615728,factor:factor] -c1_1(X) | -c1_1(Y) | -c2_1(Y) | -c0_1(Z) | -c0_1(Y) | c1_1(Z) | c3_1(Z) | c2_1(Z) | c2_1(X) | c0_1(X).
% 615813 [binary:615200,615736] -c1_1(X) | -c2_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c2_1(Y) | c0_1(Z).
% 617174 [binary:608255,615387,factor:factor:factor:factor:factor] c3_1(a1) | -c3_1(Y) | -c3_1(X) | -c2_1(X) | c3_1(Z) | c2_1(Y) | c2_1(Z) | c0_1(Z) | c0_1(Y) | c0_1(X).
% 617177 [binary:607939,617174] -hskp0(0) | -c3_1(Y) | -c3_1(X) | -c2_1(X) | c3_1(Z) | c2_1(Z) | c2_1(Y) | c0_1(X) | c0_1(Y) | c0_1(Z).
% 617243 [binary:608254,617177,factor:factor:factor] -c3_1(X) | -c3_1(Y) | -c2_1(Y) | c3_1(Z) | c2_1(X) | c2_1(Z) | c0_1(X) | c0_1(Z) | c0_1(Y).
% 617275 [binary:615214,617243] c2_1(a28) | c0_1(a28) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(Z) | c2_1(Y) | c2_1(Z) | c0_1(X) | c0_1(Z).
% 618292 [binary:607908,617275,binarycut:607907] -hskp17(0) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Y) | c2_1(Z) | c0_1(Z) | c0_1(X).
% 618324 [binary:611234,618292,factor:factor] -c1_1(X) | -c3_1(Y) | -c2_1(Y) | c1_1(Z) | c3_1(Z) | c3_1(X) | c2_1(X) | c2_1(Z) | c0_1(Y) | c0_1(X).
% 618353 [binary:615200,618324] -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c2_1(Y) | c0_1(Z) | c0_1(X).
% 618358 [binary:608142,618353] -c2_1(a22) | c0_1(a22) | hskp26(0) | hskp29(0) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618456 [binary:608143,618358] c0_1(a22) | hskp26(0) | hskp29(0) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618458 [binary:607913,618456] -hskp14(0) | hskp26(0) | hskp29(0) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618460 [binary:607862,618458] hskp26(0) | hskp29(0) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618462 [binary:607841,618460] c2_1(a99) | hskp29(0) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618466 [binary:607842,618460] c1_1(a99) | hskp29(0) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618480 [binary:608602,618462,factor:factor:factor:factor] c3_1(a99) | c0_1(a99) | hskp29(0) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618499 [binary:615813,618466,factor:factor] -c2_1(a99) | -c0_1(a99) | hskp29(0) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618528 [binary:618353,618480,factor:factor:factor:factor] -c2_1(a99) | c0_1(a99) | hskp29(0) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618532 [binary:618462,618499,factor:factor:factor] -c0_1(a99) | hskp29(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618545 [binary:618462,618528,factor:factor:factor:factor:factor] c0_1(a99) | hskp29(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618550 [binary:618532,618545,factor:factor:factor] hskp29(0) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618552 [binary:607849,618550] c2_1(a35) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618555 [binary:607850,618550] c1_1(a35) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618557 [binary:607851,618550] c0_1(a35) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618596 [binary:615813,618555,factor:factor:factor:factor] -c2_1(a35) | -c0_1(a35) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618618 [binary:618552,618596,factor:factor:factor:factor] -c0_1(a35) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 618631 [binary:618557,618618,factor:factor] -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618645 [binary:608281,618631,factor:factor:factor:factor:factor] c1_1(a11) | c3_1(a11) | c2_1(a11) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618649 [binary:615223,618631] c1_1(a15) | c3_1(a15) | c2_1(a15) | hskp13(0) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 618660 [binary:607922,618649,binarycut:607924,binarycut:607923] -hskp8(0) | hskp13(0) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 618665 [binary:607861,618660] hskp13(0) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 618667 [binary:607822,618665] c2_1(a21) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 618669 [binary:607823,618665] c0_1(a21) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 618774 [binary:607930,618645,binarycut:607931] -hskp5(0) | c3_1(a11) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618787 [binary:608280,618774,factor:factor:factor:factor:factor:factor] c3_1(a11) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618797 [binary:610929,618787] -c0_1(a11) | c1_1(a11) | c2_1(a11) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618902 [binary:608281,618797,factor:factor:factor:factor:factor:factor] c1_1(a11) | c2_1(a11) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618906 [binary:607930,618902,binarycut:607931] -hskp5(0) | -c2_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 618922 [binary:608280,618906,factor:factor] -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618949 [binary:615228,618922] c1_1(a13) | c3_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618953 [binary:615226,618922,factor] c1_1(a13) | c3_1(a13) | -c1_1(X) | -c1_1(Y) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 618958 [binary:615231,618922,factor:factor] c1_1(a13) | c3_1(a13) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 618990 [binary:618667,618922,factor:factor] c1_1(a21) | c3_1(a21) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 619057 [binary:607928,618958,binarycut:607929] -hskp6(0) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 619075 [binary:608232,619057,factor:factor] -c1_1(X) | -c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 619246 [binary:607928,618949,binarycut:607929] -hskp6(0) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 619254 [binary:608174,619246,factor] -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 619291 [binary:618990,619254,factor:factor] -c2_1(a21) | -c0_1(a21) | c3_1(a21) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 619303 [binary:618667,619291,factor:factor] -c0_1(a21) | c3_1(a21) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 619311 [binary:618669,619303,factor:factor] c3_1(a21) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 619314 [binary:607914,619311] -hskp13(0) | hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 619328 [binary:618665,619314,factor] hskp27(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 619330 [binary:607843,619328] c3_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619332 [binary:607844,619328] c1_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619333 [binary:607845,619328] c0_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619366 [binary:619075,619332,factor:factor] -c3_1(a12) | c2_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619371 [binary:619330,619366,factor:factor] c2_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619587 [binary:607928,618953,binarycut:607929] -hskp6(0) | -c1_1(Y) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 619607 [binary:608146,619587,factor:factor:factor:factor] -c1_1(Y) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 619626 [binary:615200,619607] -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 619698 [binary:619332,619626,factor] -c2_1(a12) | -c0_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619713 [binary:619371,619698,factor] -c0_1(a12) | c3_1(X) | c2_1(X) | c0_1(X).
% 619716 [binary:619333,619713,factor] c3_1(X) | c2_1(X) | c0_1(X).
% 619719 [binary:607906,619716,binarycut:607905] -hskp18(0) | c2_1(a31).
% 619721 [binary:607938,619716,binarycut:607937,binarycut:607936] -hskp1(0).
% 619730 [binary:608270,619716] c1_1(a3) | c2_1(a3) | c0_1(a3) | -c2_1(X) | c1_1(X) | c0_1(X).
% 619752 [binary:608219,619721] -c1_1(X) | -c3_1(X) | -c2_1(Y) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 619754 [binary:608390,619721] hskp2(0) | c1_1(X) | c3_1(X) | c0_1(X).
% 619758 [binary:608176,619719] c2_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 619806 [binary:607810,619754] c3_1(a3) | c1_1(X) | c3_1(X) | c0_1(X).
% 619808 [binary:607811,619754] c1_1(a3) | c1_1(X) | c3_1(X) | c0_1(X).
% 619995 [binary:619808,619752,factor] -c3_1(a3) | c2_1(a3) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 620034 [binary:619806,619995,factor] c2_1(a3) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 620039 [binary:607935,620034] -hskp2(0) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 620061 [binary:619754,620039,factor] -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 620069 [binary:608392,620061,cut:619721,factor] c1_1(a1) | c3_1(a1) | c0_1(a1).
% 620080 [binary:615228,620061] c1_1(a13) | c3_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 620081 [binary:615230,620061] c1_1(a13) | c3_1(a13) | c0_1(a13) | -c1_1(X) | -c2_1(X) | c3_1(X) | c0_1(X).
% 620118 [binary:619752,619730,factor:factor] -c3_1(a3) | c2_1(a3) | c0_1(a3) | -c2_1(X) | c1_1(X) | c0_1(X).
% 620216 [binary:619716,620118] c2_1(a3) | c0_1(a3) | -c2_1(X) | c1_1(X) | c0_1(X).
% 620218 [binary:607935,620216] -hskp2(0) | c0_1(a3) | -c2_1(X) | c1_1(X) | c0_1(X).
% 620239 [binary:608267,620218,factor:factor] c0_1(a3) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c2_1(X) | c0_1(Y).
% 620324 [binary:612434,620239,factor:factor] -c3_1(X) | -c2_1(Y) | c1_1(Y) | c1_1(X) | c2_1(X) | c0_1(Y).
% 620555 [binary:607928,620080,binarycut:607929,binarycut:607927] -hskp6(0) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 620560 [binary:608174,620555,factor] -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 620572 [binary:608371,620560] -c2_1(a1) | -c0_1(a1) | c3_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 620573 [binary:608393,620560,cut:619721] -c2_1(a1) | -c0_1(a1) | c3_1(a1) | c1_1(X) | c3_1(X) | c0_1(X).
% 620598 [binary:608392,620573,cut:619721,factor:factor] -c0_1(a1) | c3_1(a1) | c1_1(X) | c3_1(X) | c0_1(X).
% 620639 [binary:607928,620081,binarycut:607929,binarycut:607927] -hskp6(0) | -c1_1(X) | -c2_1(X) | c3_1(X) | c0_1(X).
% 620644 [binary:608175,620639,factor:factor] -c1_1(X) | -c2_1(X) | c3_1(X) | c0_1(X).
% 620664 [binary:612101,620644,factor] -c2_1(a31) | c3_1(a31) | c0_1(a31).
% 620667 [binary:620069,620644] -c2_1(a1) | c3_1(a1) | c0_1(a1).
% 620674 [binary:619758,620664] c3_1(a31) | c0_1(a31) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 620686 [binary:607906,620674,binarycut:607905] -hskp18(0) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 620695 [binary:608370,620667] c3_1(a1) | c0_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 620697 [binary:608392,620667,cut:619721] c3_1(a1) | c0_1(a1) | c1_1(X) | c3_1(X) | c0_1(X).
% 620713 [binary:608164,620686,factor:factor] -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 620715 [binary:608138,620713] -c0_1(a21) | c1_1(a21) | c3_1(a21) | hskp21(0) | hskp24(0).
% 620753 [binary:607939,620697] -hskp0(0) | c0_1(a1) | c1_1(X) | c3_1(X) | c0_1(X).
% 620793 [binary:608391,620753,cut:619721,factor:factor] c0_1(a1) | c1_1(X) | c3_1(X) | c0_1(X).
% 620800 [binary:620598,620793,factor:factor] c3_1(a1) | c1_1(X) | c3_1(X) | c0_1(X).
% 620803 [binary:607939,620800] -hskp0(0) | c1_1(X) | c3_1(X) | c0_1(X).
% 620823 [binary:608391,620803,cut:619721,factor] c1_1(X) | c3_1(X) | c0_1(X).
% 620830 [binary:607928,620823,binarycut:607929,binarycut:607927] -hskp6(0).
% 620837 [binary:608246,620830] hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 620863 [binary:607839,620837] c2_1(a58) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 620888 [binary:608139,620715] c1_1(a21) | c3_1(a21) | hskp21(0) | hskp24(0).
% 620891 [binary:620560,620888] -c2_1(a21) | -c0_1(a21) | c3_1(a21) | hskp21(0) | hskp24(0).
% 620893 [binary:608138,620891] -c0_1(a21) | c3_1(a21) | hskp21(0) | hskp24(0).
% 620895 [binary:608139,620893] c3_1(a21) | hskp21(0) | hskp24(0).
% 620897 [binary:607914,620895] -hskp13(0) | hskp21(0) | hskp24(0).
% 620902 [binary:607860,620897] hskp21(0) | hskp24(0).
% 620904 [binary:607834,620902] c1_1(a38) | hskp24(0).
% 620905 [binary:607835,620902] c0_1(a38) | hskp24(0).
% 621104 [binary:607939,620695] -hskp0(0) | c0_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621153 [binary:608369,621104,factor:factor] c0_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621637 [binary:608370,620572,factor] -c0_1(a1) | c3_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621640 [binary:621153,621637,factor] c3_1(a1) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621642 [binary:607939,621640] -hskp0(0) | hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621658 [binary:608369,621642,factor] hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621660 [binary:607812,621658] c3_1(a7) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621671 [binary:620324,621660,factor:factor] c1_1(a7) | c2_1(a7) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621678 [binary:619752,621671,factor] -c3_1(a7) | c2_1(a7) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621683 [binary:621660,621678,factor] c2_1(a7) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621685 [binary:607934,621683] -hskp3(0) | -c2_1(X) | c1_1(X) | c0_1(X).
% 621692 [binary:621658,621685,factor] -c2_1(X) | c1_1(X) | c0_1(X).
% 621736 [binary:620863,621692] c1_1(a58) | c0_1(a58) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 621746 [binary:607898,621736,binarycut:607897] -hskp24(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 621753 [binary:620837,621746,factor] -c1_1(X) | -c0_1(X) | c2_1(X).
% 621788 [binary:620904,621753,binarycut:620905] c2_1(a38) | hskp24(0).
% 621792 [binary:607902,621788,binarycut:620902] hskp24(0).
% 621793 [binary:607839,621792] c2_1(a58).
% 621795 [binary:621692,621793] c1_1(a58) | c0_1(a58).
% 621800 [binary:607898,621795,cut:621792] c0_1(a58).
% 621801 [binary:607897,621800,cut:621792] 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: 23560
% derived clauses: 1346535
% kept clauses: 228570
% kept size sum: 840614
% kept mid-nuclei: 300178
% kept new demods: 0
% forw unit-subs: 15
% forw double-subs: 52154
% forw overdouble-subs: 472666
% backward subs: 6064
% fast unit cutoff: 4554
% full unit cutoff: 0
% dbl unit cutoff: 9106
% real runtime: 264.50
% process. runtime: 262.87
% specific non-discr-tree subsumption statistics:
% tried: 113809549
% length fails: 638139
% strength fails: 45247602
% predlist fails: 54516049
% aux str. fails: 1405843
% by-lit fails: 8648791
% full subs tried: 1763459
% full subs fail: 1691052
%
% ; 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/SYN498-1+noeq.in")
%
%------------------------------------------------------------------------------