TSTP Solution File: SYN477-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN477-1 : 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 : art06.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 258.8s
% Output : Assurance 258.8s
% 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/SYN477-1+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(188,40,1,376,0,1,168160,4,2321,228116,5,3003,228116,1,3003,228116,50,3005,228116,40,3005,228304,0,3005,228512,50,3005,228700,0,3006,228908,50,3006,229096,0,3012,229304,50,3013,229492,0,3013,229700,50,3013,229888,0,3016,230096,50,3017,230284,0,3017,230492,50,3017,230680,0,3021,230888,50,3021,231076,0,3021,231284,50,3022,231472,0,3025,231680,50,3026,231868,0,3026,232076,50,3026,232264,0,3030,232472,50,3030,232660,0,3030,232868,50,3031,233056,0,3034,233264,50,3035,233452,0,3035,233660,50,3035,233848,0,3038,234056,50,3039,234244,0,3039,234452,50,3040,234640,0,3043,234848,50,3043,235036,0,3043,235244,50,3044,235432,0,3047,235640,50,3048,235828,0,3048,236036,50,3049,236224,0,3052,236432,50,3053,236432,40,3053,236620,0,3053,253167,3,3954,255772,4,4404,258618,1,4854,258618,50,4854,258618,40,4854,258806,0,4854,396482,3,9355,397472,4,11606,399201,5,13855,399202,1,13855,399202,50,13858,399202,40,13858,399390,0,13858,436613,3,15385,437469,4,16109,438870,5,16859,438871,1,16859,438871,50,16860,438871,40,16860,439059,0,16860,506549,3,19571,507332,4,20912,508078,5,22261,508079,1,22261,508079,50,22263,508079,40,22263,508267,0,22263,544026,3,23895,544796,4,24514,546204,5,25264,546205,1,25264,546205,50,25265,546205,40,25265,546393,0,25265,546601,50,25266,546601,40,25266,546789,0,25266)
%
%
% START OF PROOF
% 546603 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Z) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c2_1(Z) | c0_1(Y).
% 546604 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c3_1(X) | c1_1(Z) | c0_1(Z).
% 546606 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c0_1(Z) | -c0_1(X) | c2_1(Z) | c3_1(Z) | c1_1(Y) | c0_1(Y).
% 546607 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | -c0_1(Z) | -c0_1(X) | c2_1(Z) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Z).
% 546609 [] -ndr1_0(0) | -c1_1(X) | -c0_1(Z) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Z) | c3_1(Y) | c1_1(Z) | c0_1(X).
% 546610 [] -ndr1_0(0) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X) | c0_1(X) | c0_1(Z).
% 546611 [] -ndr1_0(0) | hskp1(0) | -c2_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(X).
% 546612 [] -ndr1_0(0) | -c2_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(X) | c1_1(Z) | c1_1(Y) | c0_1(Z) | c0_1(X).
% 546616 [] -ndr1_0(0) | hskp8(0) | -c2_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y).
% 546618 [] -ndr1_0(0) | hskp6(0) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(X).
% 546620 [?] ?
% 546621 [?] ?
% 546623 [?] ?
% 546625 [?] ?
% 546631 [?] ?
% 546632 [?] ?
% 546636 [?] ?
% 546637 [?] ?
% 546641 [?] ?
% 546642 [?] ?
% 546645 [?] ?
% 546646 [?] ?
% 546647 [?] ?
% 546651 [?] ?
% 546652 [?] ?
% 546653 [?] ?
% 546655 [?] ?
% 546658 [?] ?
% 546659 [?] ?
% 546660 [] -hskp0(0) | c2_1(a1205).
% 546661 [] -hskp1(0) | c2_1(a1206).
% 546662 [] -hskp1(0) | c0_1(a1206).
% 546663 [] -hskp3(0) | c1_1(a1210).
% 546664 [] -hskp3(0) | c0_1(a1210).
% 546665 [] -hskp4(0) | c1_1(a1211).
% 546666 [] -hskp5(0) | c2_1(a1212).
% 546667 [] -hskp6(0) | c2_1(a1215).
% 546668 [] -hskp6(0) | c1_1(a1215).
% 546672 [] -hskp11(0) | c3_1(a1224).
% 546673 [] -hskp11(0) | c1_1(a1224).
% 546678 [] -hskp14(0) | c3_1(a1232).
% 546679 [] -hskp15(0) | c1_1(a1233).
% 546680 [] -hskp15(0) | c0_1(a1233).
% 546681 [] -hskp16(0) | c0_1(a1236).
% 546686 [] -hskp19(0) | c1_1(a1247).
% 546687 [] -hskp20(0) | c3_1(a1250).
% 546688 [] -hskp20(0) | c2_1(a1250).
% 546689 [] -hskp21(0) | c3_1(a1257).
% 546690 [] -hskp22(0) | c0_1(a1259).
% 546691 [] -hskp24(0) | c0_1(a1267).
% 546692 [] -hskp25(0) | c3_1(a1204).
% 546693 [] -hskp25(0) | c2_1(a1204).
% 546694 [] -hskp25(0) | c0_1(a1204).
% 546695 [] -hskp26(0) | c2_1(a1208).
% 546696 [] -hskp26(0) | c1_1(a1208).
% 546697 [] -hskp26(0) | c0_1(a1208).
% 546698 [] -hskp27(0) | c3_1(a1213).
% 546699 [] -hskp27(0) | c2_1(a1213).
% 546700 [] -hskp27(0) | c1_1(a1213).
% 546701 [] -hskp28(0) | c3_1(a1214).
% 546702 [] -hskp28(0) | c1_1(a1214).
% 546703 [] -hskp28(0) | c0_1(a1214).
% 546707 [] hskp2(0) | hskp19(0) | hskp27(0).
% 546709 [] hskp6(0) | hskp8(0) | hskp22(0).
% 546711 [] hskp14(0) | hskp19(0) | hskp24(0).
% 546715 [] hskp1(0) | hskp26(0) | hskp25(0).
% 546716 [] hskp24(0) | hskp26(0) | hskp28(0).
% 546738 [] -hskp21(0) | ndr1_0(0).
% 546742 [] -hskp25(0) | ndr1_0(0).
% 546746 [] hskp21(0) | hskp25(0).
% 546747 [] -c1_1(a1267) | -hskp24(0).
% 546748 [] -c2_1(a1267) | -hskp24(0).
% 546752 [] -c2_1(a1259) | -hskp22(0).
% 546753 [] -c3_1(a1259) | -hskp22(0).
% 546754 [] -c0_1(a1257) | -hskp21(0).
% 546755 [] -c1_1(a1257) | -hskp21(0).
% 546756 [] -c0_1(a1250) | -hskp20(0).
% 546757 [] -c2_1(a1247) | -hskp19(0).
% 546758 [] -c3_1(a1247) | -hskp19(0).
% 546761 [] -c1_1(a1236) | -hskp16(0).
% 546762 [] -c3_1(a1236) | -hskp16(0).
% 546763 [] -c2_1(a1233) | -hskp15(0).
% 546764 [] -c0_1(a1232) | -hskp14(0).
% 546765 [] -c2_1(a1232) | -hskp14(0).
% 546768 [] -c2_1(a1224) | -hskp11(0).
% 546772 [] -c0_1(a1217) | -hskp8(0).
% 546773 [] -c1_1(a1217) | -hskp8(0).
% 546774 [] -c3_1(a1217) | -hskp8(0).
% 546775 [] -c1_1(a1216) | -hskp7(0).
% 546776 [] -c2_1(a1216) | -hskp7(0).
% 546777 [] -c3_1(a1216) | -hskp7(0).
% 546778 [] -c3_1(a1215) | -hskp6(0).
% 546779 [] -c0_1(a1212) | -hskp5(0).
% 546781 [] -c0_1(a1211) | -hskp4(0).
% 546782 [] -c2_1(a1211) | -hskp4(0).
% 546783 [] -c3_1(a1210) | -hskp3(0).
% 546784 [] -c0_1(a1207) | -hskp2(0).
% 546785 [] -c1_1(a1207) | -hskp2(0).
% 546786 [] -c2_1(a1207) | -hskp2(0).
% 546787 [] -c3_1(a1206) | -hskp1(0).
% 546788 [] -c0_1(a1205) | -hskp0(0).
% 546789 [] -c1_1(a1205) | -hskp0(0).
% 546934 [binary:546689,546746] c3_1(a1257) | hskp25(0).
% 546936 [binary:546738,546746,binarycut:546742] ndr1_0(0).
% 546938 [binary:546603,546936] -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(Z) | c0_1(Z).
% 546939 [binary:546604,546936] -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Z) | -c0_1(X) | -c0_1(Z) | c3_1(X) | c1_1(Y) | c0_1(Y).
% 546941 [binary:546606,546936] -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Z) | c2_1(Z) | c3_1(Z) | c1_1(Y) | c0_1(Y).
% 546945 [binary:546610,546936] -c2_1(X) | -c3_1(Y) | -c0_1(Y) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(X) | c0_1(Z).
% 546947 [binary:546612,546936] -c2_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(Z) | c0_1(Z) | c0_1(X).
% 546951 [binary:546616,546936] hskp8(0) | -c2_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y).
% 546953 [binary:546618,546936] hskp6(0) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(X).
% 546969 [binary:546667,546709] c2_1(a1215) | hskp8(0) | hskp22(0).
% 546970 [binary:546668,546709] c1_1(a1215) | hskp8(0) | hskp22(0).
% 546971 [input:546620,cut:546936] hskp3(0) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | c0_1(Y) | c0_1(X).
% 546980 [binary:546678,546711] c3_1(a1232) | hskp19(0) | hskp24(0).
% 546988 [input:546621,cut:546936] hskp1(0) | -c2_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 546989 [binary:546661,546988] c2_1(a1206) | -c2_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 546991 [binary:546662,546988] c0_1(a1206) | -c2_1(X) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c0_1(X).
% 546994 [binary:546661,546715] c2_1(a1206) | hskp26(0) | hskp25(0).
% 546995 [binary:546662,546715] c0_1(a1206) | hskp26(0) | hskp25(0).
% 546997 [binary:546691,546716] c0_1(a1267) | hskp26(0) | hskp28(0).
% 547006 [input:546623,cut:546936] hskp5(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 547007 [binary:546666,547006] c2_1(a1212) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 547018 [input:546625,cut:546936] -c2_1(X) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y).
% 547020 [binary:546969,547018] -c1_1(a1215) | -c0_1(a1215) | hskp8(0) | hskp22(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 547027 [input:546655,cut:546936] hskp11(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 547028 [binary:546672,547027] c3_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 547029 [binary:546672,547027,factor] -c2_1(a1224) | c3_1(a1224) | c0_1(a1224).
% 547030 [binary:546673,547027] c1_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 547039 [input:546659,cut:546936] hskp28(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 547040 [binary:546701,547039] c3_1(a1214) | c2_1(X) | c3_1(X) | c0_1(X).
% 547042 [binary:546702,547039] c1_1(a1214) | c2_1(X) | c3_1(X) | c0_1(X).
% 547043 [binary:546703,547039] c0_1(a1214) | c2_1(X) | c3_1(X) | c0_1(X).
% 547052 [input:546611,factor:cut:546936] hskp1(0) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 547053 [binary:546661,547052] c2_1(a1206) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 547054 [binary:546662,547052] c0_1(a1206) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 547064 [input:546620,factor:cut:546936] hskp3(0) | -c2_1(X) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 547065 [binary:546663,547064] c1_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 547066 [binary:546664,547064] c0_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 547070 [input:546632,factor:cut:546936] hskp3(0) | -c2_1(X) | -c3_1(X) | c1_1(X) | c0_1(X).
% 547071 [binary:546663,547070] c1_1(a1210) | -c2_1(X) | -c3_1(X) | c1_1(X) | c0_1(X).
% 547073 [binary:546664,547070] c0_1(a1210) | -c2_1(X) | -c3_1(X) | c1_1(X) | c0_1(X).
% 547087 [input:546631,cut:546936] -c2_1(X) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | c3_1(Y) | c0_1(Y).
% 547100 [input:546642,cut:546936] hskp2(0) | hskp7(0) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 547129 [input:546645,cut:546936] hskp0(0) | hskp21(0) | -c2_1(X) | -c1_1(X) | c3_1(X).
% 547130 [binary:546660,547129] c2_1(a1205) | hskp21(0) | -c2_1(X) | -c1_1(X) | c3_1(X).
% 547136 [input:546646,cut:546936] hskp8(0) | hskp11(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 547137 [input:546647,cut:546936] hskp19(0) | hskp20(0) | -c1_1(X) | c2_1(X) | c3_1(X).
% 547138 [binary:546686,547137] c1_1(a1247) | hskp20(0) | -c1_1(X) | c2_1(X) | c3_1(X).
% 547168 [input:546651,cut:546936] hskp1(0) | hskp16(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 547169 [binary:546661,547168] c2_1(a1206) | hskp16(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 547171 [binary:546662,547168] c0_1(a1206) | hskp16(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 547172 [input:546636,cut:546936] hskp25(0) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 547176 [binary:546693,547172,factor] -c1_1(a1204) | c2_1(a1204) | c0_1(a1204) | -c0_1(X) | c3_1(X) | c1_1(X).
% 547184 [input:546652,cut:546936] hskp4(0) | hskp15(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 547185 [binary:546665,547184] c1_1(a1211) | hskp15(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 547188 [input:546637,cut:546936] hskp8(0) | -c1_1(X) | -c1_1(Y) | c2_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 547190 [input:546653,cut:546936] hskp0(0) | hskp27(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 547191 [binary:546660,547190] c2_1(a1205) | hskp27(0) | -c1_1(X) | c3_1(X) | c0_1(X).
% 547239 [input:546641,cut:546936] hskp26(0) | -c3_1(X) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 547240 [binary:546695,547239] c2_1(a1208) | -c3_1(X) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 547242 [binary:546696,547239] c1_1(a1208) | -c3_1(X) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 547245 [binary:546697,547239] c0_1(a1208) | -c3_1(X) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 547251 [input:546658,cut:546936] hskp0(0) | hskp25(0) | c2_1(X) | c1_1(X) | c0_1(X).
% 547252 [binary:546660,547251] c2_1(a1205) | hskp25(0) | c2_1(X) | c1_1(X) | c0_1(X).
% 547253 [binary:546660,547251,factor] c2_1(a1205) | c1_1(a1205) | c0_1(a1205) | hskp25(0).
% 547283 [input:546603,factor:cut:546936] -c2_1(X) | -c3_1(Y) | -c1_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c0_1(Y).
% 547285 [binary:546969,547283] -c1_1(a1215) | -c0_1(a1215) | hskp8(0) | hskp22(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c0_1(X).
% 547309 [input:546607,factor:cut:546936] -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(X) | c1_1(Y).
% 547313 [binary:547065,547309] -c0_1(a1210) | c2_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 547314 [binary:547071,547309] -c0_1(a1210) | c2_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 547315 [binary:547138,547309] -c0_1(a1247) | c2_1(a1247) | c3_1(a1247) | hskp20(0) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 547324 [input:546609,factor:cut:546936] -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 547416 [binary:546994,546939] -c0_1(a1206) | c3_1(a1206) | hskp26(0) | hskp25(0) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 547418 [binary:547053,546939,factor:factor:factor] -c0_1(a1206) | c3_1(a1206) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 547436 [binary:547169,546939,factor] -c0_1(a1206) | c3_1(a1206) | hskp16(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c1_1(X) | c0_1(X).
% 547487 [binary:546667,546953] c2_1(a1215) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(X).
% 547489 [binary:546668,546953] c1_1(a1215) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c1_1(X).
% 547539 [binary:546939,546989] -c0_1(a1206) | c3_1(a1206) | -c2_1(X) | -c3_1(Y) | -c3_1(Z) | -c1_1(Z) | -c1_1(U) | -c1_1(X) | -c0_1(Z) | -c0_1(U) | c2_1(U) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 547747 [binary:547130,546945] c1_1(a1205) | c0_1(a1205) | hskp21(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(X) | c3_1(Z) | c0_1(Z).
% 547750 [binary:547191,546945,factor:factor] c1_1(a1205) | c0_1(a1205) | hskp27(0) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y).
% 547761 [binary:547007,546945] c1_1(a1212) | c0_1(a1212) | -c3_1(Z) | -c3_1(X) | -c3_1(Y) | -c1_1(Z) | -c0_1(Z) | -c0_1(Y) | c2_1(U) | c2_1(Y) | c3_1(U) | c1_1(X) | c0_1(X) | c0_1(U).
% 547843 [binary:547252,546947,factor:factor] c3_1(a1205) | c0_1(a1205) | hskp25(0) | -c0_1(X) | c2_1(Y) | c2_1(X) | c1_1(Y) | c1_1(X) | c0_1(Y).
% 547970 [binary:547018,547240] -c1_1(a1208) | -c0_1(a1208) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c3_1(Z) | c1_1(X) | c1_1(Z) | c0_1(Z).
% 547972 [binary:547283,547240] -c1_1(a1208) | -c0_1(a1208) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Z) | c1_1(Z) | c1_1(X) | c0_1(Y) | c0_1(Z).
% 547984 [binary:546970,547020] -c0_1(a1215) | hskp8(0) | hskp22(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 548216 [binary:546970,547285] -c0_1(a1215) | hskp8(0) | hskp22(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c0_1(X).
% 548314 [binary:547054,547418,factor] c3_1(a1206) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 548317 [binary:546787,548314] -hskp1(0) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 548328 [binary:547052,548317,factor] -c2_1(X) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549026 [binary:547066,547313,factor] c2_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 549034 [binary:547018,549026,factor:factor:factor:factor] -c1_1(a1210) | -c0_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 549042 [binary:547073,547314,factor] c2_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 549050 [binary:547018,549042,factor:factor:factor] -c1_1(a1210) | -c0_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 549139 [binary:547171,547436,factor] c3_1(a1206) | hskp16(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c1_1(X) | c0_1(X).
% 549147 [binary:546787,549139] -hskp1(0) | hskp16(0) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c1_1(Y) | c0_1(Y).
% 549163 [binary:547168,549147,factor:factor] hskp16(0) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c1_1(X) | c0_1(X).
% 549165 [binary:546681,549163] c0_1(a1236) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c1_1(X) | c0_1(X).
% 549430 [binary:546789,547750,binarycut:546788] -hskp0(0) | hskp27(0) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y).
% 549446 [binary:547190,549430,factor] hskp27(0) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y).
% 549452 [binary:546698,549446] c3_1(a1213) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y).
% 549454 [binary:546699,549446] c2_1(a1213) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y).
% 549457 [binary:546700,549446] c1_1(a1213) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y).
% 549473 [binary:547087,549454,factor:factor:factor] -c3_1(a1213) | -c1_1(a1213) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y).
% 549502 [binary:549452,549473,factor:factor:factor:factor] -c1_1(a1213) | -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y).
% 549506 [binary:549457,549502,factor:factor] -c3_1(X) | -c1_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y).
% 549513 [binary:547040,549506,factor:factor] -c0_1(a1214) | c2_1(a1214) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 549527 [binary:547043,549513,factor:factor] c2_1(a1214) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 549532 [binary:547087,549527,factor:factor] -c3_1(a1214) | -c1_1(a1214) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 549538 [binary:547040,549532,factor] -c1_1(a1214) | -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 549541 [binary:547042,549538,factor] -c1_1(X) | c2_1(X) | c3_1(X) | c0_1(X).
% 549547 [binary:547138,549541] c2_1(a1247) | c3_1(a1247) | c0_1(a1247) | hskp20(0) | -c1_1(X) | c2_1(X) | c3_1(X).
% 549596 [binary:546757,549547,binarycut:546758] -hskp19(0) | c0_1(a1247) | hskp20(0) | -c1_1(X) | c2_1(X) | c3_1(X).
% 549611 [binary:547137,549596,factor] c0_1(a1247) | hskp20(0) | -c1_1(X) | c2_1(X) | c3_1(X).
% 549615 [binary:547315,549611,factor:factor:factor] c2_1(a1247) | c3_1(a1247) | hskp20(0) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 549741 [binary:546757,549615,binarycut:546758] -hskp19(0) | hskp20(0) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 549750 [binary:547137,549741,factor] hskp20(0) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(X) | c1_1(Y).
% 549752 [binary:546687,549750] c3_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 549754 [binary:546688,549750] c2_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y).
% 549832 [binary:546995,547416] c3_1(a1206) | hskp26(0) | hskp25(0) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549834 [binary:546787,549832] -hskp1(0) | hskp26(0) | hskp25(0) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549844 [binary:546715,549834] hskp26(0) | hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 549846 [binary:546695,549844] c2_1(a1208) | hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549847 [binary:546696,549844] c1_1(a1208) | hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549849 [binary:546697,549844] c0_1(a1208) | hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549870 [binary:546939,549846,factor:factor:factor:factor] -c0_1(a1208) | c3_1(a1208) | hskp25(0) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 549879 [binary:548328,549846,factor:factor:factor] -c3_1(a1208) | -c1_1(a1208) | -c0_1(a1208) | hskp25(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 549896 [binary:549849,549870,factor:factor] c3_1(a1208) | hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 549905 [binary:549879,549896,factor:factor:factor:factor] -c1_1(a1208) | -c0_1(a1208) | hskp25(0) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 549914 [binary:549847,549905,factor:factor:factor] -c0_1(a1208) | hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 549920 [binary:549849,549914,factor:factor] hskp25(0) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c1_1(X) | c0_1(X).
% 549934 [binary:546692,549920] c3_1(a1204) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549935 [binary:546693,549920] c2_1(a1204) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549936 [binary:546694,549920] c0_1(a1204) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 549975 [binary:546941,549935,factor:factor:factor:factor] -c3_1(a1204) | -c0_1(a1204) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(Z) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(X).
% 550615 [binary:546991,547539,factor:factor:factor:factor] c3_1(a1206) | -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c1_1(Z) | c0_1(X) | c0_1(Z).
% 550742 [binary:546787,550615] -hskp1(0) | -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(Z) | -c1_1(X) | -c0_1(Z) | c2_1(Z) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 550819 [binary:546988,550742,factor:factor:factor] -c2_1(X) | -c3_1(Z) | -c3_1(Y) | -c1_1(X) | -c1_1(Z) | -c0_1(Z) | c2_1(Z) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 550840 [binary:547007,550819,factor:factor:factor:factor:factor:factor] -c1_1(a1212) | c0_1(a1212) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c1_1(X) | c0_1(X).
% 551683 [binary:547242,547970,factor:factor:factor] -c0_1(a1208) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c3_1(Z) | c1_1(Z) | c1_1(X) | c0_1(Z).
% 551687 [binary:547245,551683,factor:factor:factor] -c3_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c3_1(Z) | c1_1(X) | c1_1(Z) | c0_1(Z).
% 551691 [binary:546934,551687] c2_1(a1257) | c1_1(a1257) | hskp25(0) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c1_1(Y) | c0_1(Y).
% 552078 [binary:549934,549975,factor:factor:factor:factor:factor] -c0_1(a1204) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(Z) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(X).
% 552093 [binary:549936,552078,factor:factor:factor] -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Z) | -c0_1(Y) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(X).
% 552095 [binary:546934,552093] c1_1(a1257) | c0_1(a1257) | hskp25(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y).
% 552227 [binary:546755,552095,binarycut:546746] c0_1(a1257) | hskp25(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y).
% 552231 [binary:546754,552227,binarycut:546746] hskp25(0) | -c3_1(X) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y).
% 552235 [binary:546693,552231] c2_1(a1204) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c3_1(Y).
% 552245 [binary:547018,552235,factor:factor:factor:factor:factor:factor] -c3_1(a1204) | -c1_1(a1204) | -c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X).
% 552555 [binary:547065,549034,factor] -c0_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 552568 [binary:547066,552555,factor] c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 552570 [binary:546783,552568] -hskp3(0) | -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 552574 [binary:546971,552570,factor:factor] -c2_1(X) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c0_1(X).
% 552592 [binary:549754,552574,factor:factor] -c3_1(a1250) | -c1_1(a1250) | c0_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 552624 [binary:549752,552592,factor:factor:factor:factor] -c1_1(a1250) | c0_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c1_1(Y).
% 552630 [binary:547071,549050,factor] -c0_1(a1210) | c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 552633 [binary:547073,552630,factor] c3_1(a1210) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 552640 [binary:546783,552633] -hskp3(0) | -c2_1(X) | -c3_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 552645 [binary:547070,552640,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).
% 552656 [binary:547253,552645] -c3_1(a1205) | c1_1(a1205) | c0_1(a1205) | hskp25(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 552670 [binary:549754,552645,factor:factor] -c3_1(a1250) | c1_1(a1250) | c0_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 552686 [binary:551691,552645,binarycut:546934,factor:factor:factor] c1_1(a1257) | c0_1(a1257) | hskp25(0) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 552698 [binary:547843,552656,factor:factor:factor] c1_1(a1205) | c0_1(a1205) | hskp25(0) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 552759 [binary:549752,552670,factor:factor:factor:factor] c1_1(a1250) | c0_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c1_1(Y).
% 552771 [binary:552624,552759,factor:factor] c0_1(a1250) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 552788 [binary:546756,552771] -hskp20(0) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 552792 [binary:549750,552788,factor:factor] -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 552850 [binary:546755,552686,binarycut:546746] c0_1(a1257) | hskp25(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(Y).
% 552853 [binary:546754,552850,binarycut:546746] hskp25(0) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 552856 [binary:546789,547747,binarycut:546788] -hskp0(0) | hskp21(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c3_1(X) | c0_1(Z).
% 552891 [binary:546692,552853,factor] c3_1(a1204) | c1_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 552957 [binary:546789,552698,binarycut:546788] -hskp0(0) | hskp25(0) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(Y).
% 552965 [binary:547251,552957,factor] hskp25(0) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(Y).
% 553004 [binary:546692,552965] c3_1(a1204) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(Y).
% 553006 [binary:546693,552965] c2_1(a1204) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(Y).
% 553008 [binary:546693,552965,factor:factor] c2_1(a1204) | c1_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553014 [binary:552645,553008,factor:factor] -c3_1(a1204) | c1_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553017 [binary:552891,553014,factor:factor] c1_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553020 [binary:547324,553017,factor:factor] c3_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553022 [binary:547176,553017,factor:factor] c2_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553026 [binary:552574,553022,factor] -c3_1(a1204) | -c1_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553030 [binary:553020,553026,factor] -c1_1(a1204) | c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553034 [binary:553017,553030,factor] c0_1(a1204) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 553046 [binary:550840,547761,factor:factor:factor:factor:factor:factor:factor:factor:factor:factor:factor:factor:factor] c0_1(a1212) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X) | c0_1(X) | c0_1(Z).
% 553096 [binary:546941,553006,factor:factor:factor] -c3_1(a1204) | -c0_1(a1204) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 553103 [binary:547129,552856,factor] hskp21(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c3_1(X) | c0_1(Z).
% 553158 [binary:546689,553103] c3_1(a1257) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(X) | c3_1(Z) | c0_1(Z).
% 553326 [binary:553004,553096,factor:factor:factor:factor:factor] -c0_1(a1204) | -c3_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 553337 [binary:553034,553326,factor] -c3_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y) | c1_1(X) | c0_1(X).
% 553516 [binary:546779,553046] -hskp5(0) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | -c0_1(Y) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(Z) | c0_1(X).
% 553527 [binary:547006,553516,factor:factor:factor] -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Z) | c2_1(X) | c3_1(Z) | c1_1(Y) | c0_1(Z) | c0_1(Y).
% 553534 [binary:547040,553527,factor:factor] -c1_1(a1214) | -c0_1(a1214) | c2_1(a1214) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553565 [binary:547042,553534,factor:factor] -c0_1(a1214) | c2_1(a1214) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553574 [binary:547043,553565,factor:factor] c2_1(a1214) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553586 [binary:548328,553574,factor:factor] -c3_1(a1214) | -c1_1(a1214) | -c0_1(a1214) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553591 [binary:547040,553586,factor] -c1_1(a1214) | -c0_1(a1214) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553594 [binary:547042,553591,factor] -c0_1(a1214) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553597 [binary:547043,553594,factor] -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y) | c0_1(X).
% 553619 [binary:546934,553597] c1_1(a1257) | c0_1(a1257) | hskp25(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 553621 [binary:546980,553597] c1_1(a1232) | c0_1(a1232) | hskp19(0) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 553679 [binary:553158,553597,factor:factor:factor] c1_1(a1257) | c0_1(a1257) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c3_1(X) | c0_1(Z).
% 553684 [binary:546755,553619,binarycut:546746] c0_1(a1257) | hskp25(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 553687 [binary:546754,553684,binarycut:546746] hskp25(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 553689 [binary:546692,553687] c3_1(a1204) | c2_1(X) | c3_1(X) | c0_1(X).
% 553691 [binary:546693,553687] c2_1(a1204) | c2_1(X) | c3_1(X) | c0_1(X).
% 553693 [binary:546694,553687] c0_1(a1204) | c2_1(X) | c3_1(X) | c0_1(X).
% 553703 [binary:552245,553689] -c1_1(a1204) | -c0_1(a1204) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 553710 [binary:546938,553691] -c1_1(a1204) | -c0_1(a1204) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | c2_1(Y) | c2_1(X) | c2_1(Z) | c3_1(Z) | c0_1(Y) | c0_1(Z).
% 554755 [binary:546755,553679,binarycut:546754] -hskp21(0) | -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(X) | c3_1(Z) | c0_1(Z).
% 554760 [binary:553103,554755,factor:factor:factor:factor] -c2_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(Z) | c3_1(X) | c3_1(Z) | c0_1(Z).
% 554771 [binary:547169,554760,factor] -c1_1(a1206) | c3_1(a1206) | hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 554801 [binary:547487,554760,factor] -c1_1(a1215) | c3_1(a1215) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(Z).
% 555158 [binary:547242,547972,factor:factor:factor] -c0_1(a1208) | -c3_1(Y) | -c3_1(X) | -c1_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Z) | c1_1(X) | c1_1(Z) | c0_1(Y) | c0_1(Z).
% 555238 [binary:547245,555158,factor:factor:factor:factor] -c3_1(X) | -c3_1(Y) | -c1_1(X) | c2_1(X) | c2_1(Y) | c3_1(Z) | c1_1(Y) | c1_1(Z) | c0_1(X) | c0_1(Z).
% 555244 [binary:547028,555238,factor:factor] -c1_1(a1224) | c2_1(a1224) | c0_1(a1224) | -c2_1(X) | -c3_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(X).
% 555345 [binary:547030,555244,factor:factor] c2_1(a1224) | c0_1(a1224) | -c2_1(X) | -c3_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X) | c0_1(X).
% 555347 [binary:546768,555345] -hskp11(0) | c0_1(a1224) | -c2_1(X) | -c3_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y) | c0_1(X).
% 555358 [binary:547027,555347,factor:factor] c0_1(a1224) | -c2_1(X) | -c3_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y) | c0_1(X).
% 556089 [binary:547489,554801,factor:factor] c3_1(a1215) | -c2_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c1_1(X) | c0_1(Z).
% 556091 [binary:546778,556089] -hskp6(0) | -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X) | c0_1(Z).
% 556097 [binary:546953,556091,factor:factor] -c2_1(X) | -c3_1(Y) | -c0_1(X) | -c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X) | c0_1(Z).
% 556109 [binary:547169,556097,factor:factor] -c0_1(a1206) | c1_1(a1206) | hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556175 [binary:553691,556097,factor] -c0_1(a1204) | c1_1(a1204) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y).
% 556195 [binary:553693,556175,factor] c1_1(a1204) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y).
% 556218 [binary:553703,556195,factor:factor:factor:factor] -c0_1(a1204) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c2_1(Z) | c3_1(Z) | c3_1(Y) | c0_1(Z).
% 556229 [binary:553710,556195,factor:factor:factor:factor:factor:factor] -c0_1(a1204) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c2_1(X) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c0_1(Y) | c0_1(Z).
% 556244 [binary:553693,556218,factor:factor] -c3_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c2_1(Z) | c3_1(Z) | c3_1(Y) | c0_1(Z).
% 556250 [binary:547040,556244,factor:factor:factor] -c0_1(a1214) | c2_1(a1214) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 556311 [binary:547043,556250,factor:factor] c2_1(a1214) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 556316 [binary:547018,556311,factor:factor] -c1_1(a1214) | -c0_1(a1214) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 556319 [binary:547042,556316,factor] -c0_1(a1214) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 556324 [binary:547043,556319,factor] -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 556729 [binary:547171,556109,factor:factor] c1_1(a1206) | hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556754 [binary:554771,556729,factor:factor:factor:factor:factor] c3_1(a1206) | hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556765 [binary:546787,556754] -hskp1(0) | hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556770 [binary:547168,556765,factor] hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556772 [binary:546681,556770] c0_1(a1236) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556777 [binary:556324,556772,factor:factor:factor:factor:factor] c2_1(a1236) | c3_1(a1236) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556801 [binary:556097,556777,factor:factor:factor:factor:factor:factor:factor:factor] -c0_1(a1236) | c3_1(a1236) | c1_1(a1236) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556953 [binary:556772,556801,factor:factor:factor:factor:factor:factor] c3_1(a1236) | c1_1(a1236) | -c3_1(X) | -c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556957 [binary:546762,556953,binarycut:546761] -hskp16(0) | -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 556962 [binary:556770,556957,factor:factor:factor] -c3_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 557352 [binary:553693,556229,factor:factor:factor] -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c2_1(X) | c2_1(Z) | c3_1(Z) | c0_1(Z) | c0_1(Y).
% 557358 [binary:547040,557352,factor:factor] -c1_1(a1214) | -c0_1(a1214) | c2_1(a1214) | -c3_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 557401 [binary:547042,557358,factor:factor] -c0_1(a1214) | c2_1(a1214) | -c3_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 557405 [binary:547043,557401,factor:factor] c2_1(a1214) | -c3_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 557409 [binary:547283,557405,factor] -c1_1(a1214) | -c0_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 557416 [binary:547042,557409,factor:factor] -c0_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 557419 [binary:547043,557416,factor] -c3_1(X) | -c1_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 557422 [binary:546980,557419] -c1_1(a1232) | c2_1(a1232) | c0_1(a1232) | hskp19(0) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557520 [binary:553621,557422,factor:factor:factor] c2_1(a1232) | c0_1(a1232) | hskp19(0) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557524 [binary:546765,557520,binarycut:546764] -hskp14(0) | hskp19(0) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557529 [binary:546711,557524] hskp19(0) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557531 [binary:546686,557529] c1_1(a1247) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557536 [binary:549541,557531,factor] c2_1(a1247) | c3_1(a1247) | c0_1(a1247) | hskp24(0).
% 557551 [binary:546757,557536,binarycut:546758] -hskp19(0) | c0_1(a1247) | hskp24(0).
% 557560 [binary:557529,557551] c0_1(a1247) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557565 [binary:556324,557560,factor:factor:factor] c2_1(a1247) | c3_1(a1247) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557569 [binary:546757,557565,binarycut:546758] -hskp19(0) | hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557582 [binary:557529,557569,factor] hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557584 [binary:546691,557582] c0_1(a1267) | c2_1(X) | c3_1(X) | c0_1(X).
% 557598 [binary:556324,557584,factor:factor:factor] c2_1(a1267) | c3_1(a1267) | c2_1(X) | c3_1(X) | c0_1(X).
% 557601 [binary:546748,557598] -hskp24(0) | c3_1(a1267) | c2_1(X) | c3_1(X) | c0_1(X).
% 557621 [binary:557582,557601,factor:factor] c3_1(a1267) | c2_1(X) | c3_1(X) | c0_1(X).
% 557624 [binary:556962,557621,factor:factor] -c0_1(a1267) | c2_1(a1267) | c1_1(a1267) | c2_1(X) | c3_1(X) | c0_1(X).
% 557638 [binary:557584,557624,factor:factor] c2_1(a1267) | c1_1(a1267) | c2_1(X) | c3_1(X) | c0_1(X).
% 557653 [binary:546748,557638,binarycut:546747] -hskp24(0) | c2_1(X) | c3_1(X) | c0_1(X).
% 557658 [binary:557582,557653,factor] c2_1(X) | c3_1(X) | c0_1(X).
% 557663 [binary:546757,557658,binarycut:546758] -hskp19(0) | c0_1(a1247).
% 557665 [binary:546776,557658,binarycut:546777] -hskp7(0) | c0_1(a1216).
% 557669 [binary:546786,557658,binarycut:546784] -hskp2(0) | c3_1(a1207).
% 557670 [binary:547029,557658] c3_1(a1224) | c0_1(a1224).
% 557710 [binary:546707,557669] c3_1(a1207) | hskp19(0) | hskp27(0).
% 557711 [binary:547100,557669] c3_1(a1207) | hskp7(0) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 557742 [binary:553337,557710] c2_1(a1207) | c1_1(a1207) | c0_1(a1207) | hskp19(0) | hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558518 [binary:546786,557742,binarycut:546785,binarycut:546784] -hskp2(0) | hskp19(0) | hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558522 [binary:546707,558518] hskp19(0) | hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558524 [binary:546686,558522] c1_1(a1247) | hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558539 [binary:552792,558524,factor:factor:factor] c2_1(a1247) | c3_1(a1247) | hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558544 [binary:546757,558539,binarycut:546758] -hskp19(0) | hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558553 [binary:558522,558544,factor] hskp27(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558555 [binary:546698,558553] c3_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558557 [binary:546699,558553] c2_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558559 [binary:546700,558553] c1_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558565 [binary:547018,558557,factor:factor] -c1_1(a1213) | -c0_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558571 [binary:552574,558557,factor] -c3_1(a1213) | -c1_1(a1213) | c0_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558577 [binary:558559,558565,factor:factor] -c0_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558582 [binary:558555,558571,factor] -c1_1(a1213) | c0_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558585 [binary:558559,558582,factor] c0_1(a1213) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558588 [binary:558577,558585,factor] -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 558591 [binary:546997,558588] c2_1(a1267) | c3_1(a1267) | c1_1(a1267) | hskp26(0) | hskp28(0).
% 558592 [binary:549165,558588] c2_1(a1236) | c3_1(a1236) | c1_1(a1236) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c1_1(Y) | c0_1(Y).
% 558609 [binary:546748,558591,binarycut:546747] -hskp24(0) | c3_1(a1267) | hskp26(0) | hskp28(0).
% 558613 [binary:546716,558609] c3_1(a1267) | hskp26(0) | hskp28(0).
% 558911 [binary:546939,558592,factor:factor:factor:factor:factor:factor:factor] -c0_1(a1236) | c3_1(a1236) | c1_1(a1236) | -c3_1(X) | -c3_1(Y) | -c1_1(Y) | -c0_1(Y) | c2_1(X) | c1_1(X) | c0_1(X).
% 558986 [binary:549165,558911,factor:factor:factor] c3_1(a1236) | c1_1(a1236) | -c3_1(X) | -c3_1(Y) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c1_1(Y) | c0_1(Y).
% 558989 [binary:546762,558986,binarycut:546761] -hskp16(0) | -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c1_1(Y) | c0_1(Y).
% 558994 [binary:549163,558989,factor:factor:factor:factor] -c3_1(Y) | -c3_1(X) | -c1_1(X) | -c0_1(X) | c2_1(Y) | c1_1(Y) | c0_1(Y).
% 559013 [binary:557711,558994,factor] c2_1(a1207) | c1_1(a1207) | c0_1(a1207) | hskp7(0) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559053 [binary:546786,559013,binarycut:546785,binarycut:546784] -hskp2(0) | hskp7(0) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559058 [binary:547100,559053,factor] hskp7(0) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559060 [binary:557665,559058] c0_1(a1216) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559063 [binary:558588,559060] c2_1(a1216) | c3_1(a1216) | c1_1(a1216) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559066 [binary:546776,559063,binarycut:546777,binarycut:546775] -hskp7(0) | -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559074 [binary:559058,559066,factor] -c3_1(X) | -c1_1(X) | -c0_1(X).
% 559079 [binary:547028,559074] -c1_1(a1224) | -c0_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 559122 [binary:547030,559079,factor] -c0_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 559130 [binary:555358,559122,factor] -c2_1(X) | -c3_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y) | c0_1(X).
% 559191 [binary:557658,559130] -c3_1(X) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y) | c0_1(Y).
% 559203 [binary:558613,559191] c2_1(a1267) | c1_1(a1267) | hskp26(0) | hskp28(0) | c3_1(X) | c1_1(X) | c0_1(X).
% 559207 [binary:546748,559203,binarycut:546747] -hskp24(0) | hskp26(0) | hskp28(0) | c3_1(X) | c1_1(X) | c0_1(X).
% 559210 [binary:546716,559207] hskp26(0) | hskp28(0) | c3_1(X) | c1_1(X) | c0_1(X).
% 559212 [binary:546695,559210] c2_1(a1208) | hskp28(0) | c3_1(X) | c1_1(X) | c0_1(X).
% 559213 [binary:546696,559210] c1_1(a1208) | hskp28(0) | c3_1(X) | c1_1(X) | c0_1(X).
% 559215 [binary:546697,559210] c0_1(a1208) | hskp28(0) | c3_1(X) | c1_1(X) | c0_1(X).
% 559221 [binary:547283,559212] -c1_1(a1208) | -c0_1(a1208) | hskp28(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X) | c0_1(Y).
% 559602 [binary:559213,559221,factor] -c0_1(a1208) | hskp28(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 559608 [binary:559215,559602,factor] hskp28(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X) | c0_1(Y).
% 559610 [binary:546701,559608] c3_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 559612 [binary:546702,559608] c1_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 559614 [binary:546703,559608] c0_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(Y) | c0_1(X).
% 559620 [binary:559074,559610] -c1_1(a1214) | -c0_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X) | c0_1(Y).
% 559626 [binary:559612,559620,factor:factor] -c0_1(a1214) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X) | c0_1(Y).
% 559630 [binary:559614,559626,factor:factor] -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c0_1(X) | c0_1(Y).
% 559647 [binary:557670,559630] -c1_1(a1224) | c2_1(a1224) | c0_1(a1224) | c3_1(X) | c1_1(X) | c0_1(X).
% 559650 [binary:547030,559647,factor:factor] c2_1(a1224) | c0_1(a1224) | -c2_1(X) | c3_1(X) | c1_1(X) | c0_1(X).
% 559655 [binary:546768,559650] -hskp11(0) | c0_1(a1224) | -c2_1(X) | c3_1(X) | c1_1(X) | c0_1(X).
% 559662 [binary:547027,559655,factor:factor] c0_1(a1224) | -c2_1(X) | c3_1(X) | c1_1(X) | c0_1(X).
% 559665 [binary:559122,559662,factor] -c2_1(X) | c3_1(X) | c1_1(X) | c0_1(X).
% 559684 [binary:557658,559665] c3_1(X) | c1_1(X) | c0_1(X).
% 559689 [binary:546774,559684,binarycut:546773,binarycut:546772] -hskp8(0).
% 559698 [binary:547136,559689] hskp11(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 559699 [binary:547188,559689] -c1_1(Y) | -c1_1(X) | c2_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 559700 [binary:546951,559689] -c2_1(X) | -c1_1(X) | -c1_1(Y) | -c0_1(Y) | -c0_1(X) | c2_1(Y).
% 559723 [binary:546672,559698] c3_1(a1224) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 559724 [binary:546673,559698] c1_1(a1224) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 559726 [binary:559074,559723] -c1_1(a1224) | -c0_1(a1224) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 559766 [binary:559724,559726,factor:factor] -c0_1(a1224) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 559770 [binary:546970,559699,cut:559689] c3_1(a1215) | c0_1(a1215) | hskp22(0) | -c1_1(X) | c2_1(X) | c0_1(X).
% 559837 [binary:546778,559770] -hskp6(0) | c0_1(a1215) | hskp22(0) | -c1_1(X) | c2_1(X) | c0_1(X).
% 559848 [binary:546709,559837,cut:559689] c0_1(a1215) | hskp22(0) | -c1_1(X) | c2_1(X) | c0_1(X).
% 559851 [binary:547984,559848,cut:559689] hskp22(0) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c0_1(X).
% 559855 [binary:548216,559848,cut:559689,factor] hskp22(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c0_1(X).
% 559868 [binary:546690,559855] c0_1(a1259) | -c3_1(X) | -c1_1(X) | c2_1(X) | c0_1(X).
% 559894 [binary:546690,559851] c0_1(a1259) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 559928 [binary:558588,559894] c2_1(a1259) | c3_1(a1259) | c1_1(a1259) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 560315 [binary:546752,559928,binarycut:546753] -hskp22(0) | c1_1(a1259) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 560319 [binary:559851,560315,factor:factor] c1_1(a1259) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c0_1(X).
% 560322 [binary:547309,560319,factor] -c0_1(a1259) | c2_1(a1259) | c3_1(a1259) | -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 560515 [binary:559868,560322,factor:factor] c2_1(a1259) | c3_1(a1259) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c1_1(Y) | c0_1(X).
% 560529 [binary:546752,560515,binarycut:546753] -hskp22(0) | -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c1_1(Y) | c0_1(X).
% 560537 [binary:559855,560529,factor] -c3_1(X) | -c1_1(X) | -c0_1(Y) | c2_1(Y) | c2_1(X) | c1_1(Y) | c0_1(X).
% 560557 [binary:557670,560537] -c1_1(a1224) | c2_1(a1224) | c0_1(a1224) | -c0_1(X) | c2_1(X) | c1_1(X).
% 560573 [binary:547030,560557] c2_1(a1224) | c0_1(a1224) | -c2_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 560577 [binary:559724,560557] c2_1(a1224) | c0_1(a1224) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y).
% 560583 [binary:546768,560577] -hskp11(0) | c0_1(a1224) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y).
% 560590 [binary:546768,560573] -hskp11(0) | c0_1(a1224) | -c2_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 560602 [binary:559698,560583,factor] c0_1(a1224) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y).
% 560607 [binary:559766,560602,factor] -c1_1(X) | -c0_1(Y) | -c0_1(X) | c2_1(X) | c2_1(Y) | c1_1(Y).
% 560657 [binary:547027,560590,factor:factor] c0_1(a1224) | -c2_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 560660 [binary:559122,560657,factor] -c2_1(X) | -c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c0_1(X).
% 560685 [binary:557658,560660] -c0_1(X) | c2_1(X) | c3_1(Y) | c1_1(X) | c0_1(Y).
% 560688 [binary:546997,560685] c2_1(a1267) | c1_1(a1267) | hskp26(0) | hskp28(0) | c3_1(X) | c0_1(X).
% 560714 [binary:546748,560688,binarycut:546747] -hskp24(0) | hskp26(0) | hskp28(0) | c3_1(X) | c0_1(X).
% 560717 [binary:546716,560714] hskp26(0) | hskp28(0) | c3_1(X) | c0_1(X).
% 560719 [binary:546695,560717] c2_1(a1208) | hskp28(0) | c3_1(X) | c0_1(X).
% 560720 [binary:546696,560717] c1_1(a1208) | hskp28(0) | c3_1(X) | c0_1(X).
% 560721 [binary:546697,560717] c0_1(a1208) | hskp28(0) | c3_1(X) | c0_1(X).
% 560724 [binary:547018,560719] -c1_1(a1208) | -c0_1(a1208) | hskp28(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 560786 [binary:560720,560724,factor] -c0_1(a1208) | hskp28(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 560789 [binary:560721,560786,factor:factor] hskp28(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 560791 [binary:546701,560789] c3_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 560794 [binary:546702,560789] c1_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 560795 [binary:546703,560789] c0_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 560802 [binary:559074,560791] -c1_1(a1214) | -c0_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 560811 [binary:560794,560802,factor:factor:factor:factor:factor] -c0_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 560816 [binary:560795,560811,factor:factor:factor] -c0_1(X) | c2_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 560841 [binary:559868,560816] c2_1(a1259) | c3_1(a1259) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 561198 [binary:546752,560841,binarycut:546753] -hskp22(0) | -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 561203 [binary:559855,561198,factor] -c3_1(X) | -c1_1(X) | c2_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 561222 [binary:557670,561203] -c1_1(a1224) | c2_1(a1224) | c0_1(a1224) | c3_1(X) | c0_1(X).
% 561229 [binary:547030,561222,factor:factor] c2_1(a1224) | c0_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 561235 [binary:546768,561229] -hskp11(0) | c0_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 561246 [binary:547027,561235,factor:factor] c0_1(a1224) | -c2_1(X) | c3_1(X) | c0_1(X).
% 561249 [binary:559122,561246,factor] -c2_1(X) | c3_1(X) | c0_1(X).
% 561259 [binary:557658,561249] c3_1(X) | c0_1(X).
% 561267 [binary:560537,561259] -c1_1(X) | -c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(Y) | c0_1(X).
% 561283 [binary:547185,561267,factor:factor] c2_1(a1211) | c0_1(a1211) | hskp15(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561297 [binary:546782,561283,binarycut:546781] -hskp4(0) | hskp15(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561304 [binary:547184,561297,factor] hskp15(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561306 [binary:546679,561304] c1_1(a1233) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561308 [binary:546680,561304] c0_1(a1233) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561315 [binary:560607,561306,factor:factor:factor] -c0_1(a1233) | c2_1(a1233) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561325 [binary:561308,561315,factor:factor] c2_1(a1233) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561327 [binary:546763,561325] -hskp15(0) | -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561338 [binary:561304,561327,factor] -c3_1(X) | -c0_1(X) | c2_1(X) | c1_1(X).
% 561358 [binary:558613,561338] -c0_1(a1267) | c2_1(a1267) | c1_1(a1267) | hskp26(0) | hskp28(0).
% 561370 [binary:546997,561358] c2_1(a1267) | c1_1(a1267) | hskp26(0) | hskp28(0).
% 561373 [binary:546748,561370,binarycut:546747] -hskp24(0) | hskp26(0) | hskp28(0).
% 561377 [binary:546716,561373] hskp26(0) | hskp28(0).
% 561379 [binary:546695,561377] c2_1(a1208) | hskp28(0).
% 561380 [binary:546696,561377] c1_1(a1208) | hskp28(0).
% 561381 [binary:546697,561377] c0_1(a1208) | hskp28(0).
% 561384 [binary:547018,561379,binarycut:561380,binarycut:561381] hskp28(0) | -c0_1(X) | c2_1(X) | c3_1(X).
% 561386 [binary:547283,561379,binarycut:561380,binarycut:561381,binarycut:561259] hskp28(0) | -c1_1(X) | c2_1(X) | c0_1(X).
% 561390 [binary:559700,561379,binarycut:561380,binarycut:561381] hskp28(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 561394 [binary:546701,561384] c3_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(X).
% 561396 [binary:546702,561384] c1_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(X).
% 561397 [binary:546703,561384] c0_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(X).
% 561400 [binary:546701,561386] c3_1(a1214) | -c1_1(X) | c2_1(X) | c0_1(X).
% 561401 [binary:546702,561386] c1_1(a1214) | -c1_1(X) | c2_1(X) | c0_1(X).
% 561402 [binary:546703,561386] c0_1(a1214) | -c1_1(X) | c2_1(X) | c0_1(X).
% 561406 [binary:546701,561390] c3_1(a1214) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 561407 [binary:546702,561390] c1_1(a1214) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 561408 [binary:546703,561390] c0_1(a1214) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 561410 [binary:559074,561394] -c1_1(a1214) | -c0_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(X).
% 561418 [binary:559074,561400] -c1_1(a1214) | -c0_1(a1214) | -c1_1(X) | c2_1(X) | c0_1(X).
% 561422 [binary:559074,561406] -c1_1(a1214) | -c0_1(a1214) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 561435 [binary:561396,561410,factor:factor] -c0_1(a1214) | -c0_1(X) | c2_1(X) | c3_1(X).
% 561439 [binary:561397,561435,factor] -c0_1(X) | c2_1(X) | c3_1(X).
% 561480 [binary:561401,561418,factor] -c0_1(a1214) | -c1_1(X) | c2_1(X) | c0_1(X).
% 561483 [binary:561402,561480,factor] -c1_1(X) | c2_1(X) | c0_1(X).
% 561487 [binary:547185,561483] c2_1(a1211) | c0_1(a1211) | hskp15(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561546 [binary:561407,561422,factor:factor] -c0_1(a1214) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 561549 [binary:561408,561546,factor] -c1_1(X) | -c0_1(X) | c2_1(X).
% 561693 [binary:546782,561487,binarycut:546781] -hskp4(0) | hskp15(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561700 [binary:547184,561693,factor] hskp15(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561702 [binary:546679,561700] c1_1(a1233) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561704 [binary:546680,561700] c0_1(a1233) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561711 [binary:561549,561702] -c0_1(a1233) | c2_1(a1233) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561718 [binary:561704,561711,factor:factor] c2_1(a1233) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561720 [binary:546763,561718] -hskp15(0) | -c3_1(X) | c2_1(X) | c1_1(X).
% 561727 [binary:561700,561720,factor] -c3_1(X) | c2_1(X) | c1_1(X).
% 561745 [binary:561259,561727] c2_1(X) | c1_1(X) | c0_1(X).
% 561748 [binary:546765,561745,binarycut:546764] -hskp14(0) | c1_1(a1232).
% 561754 [binary:546711,561748] c1_1(a1232) | hskp19(0) | hskp24(0).
% 561784 [binary:561483,561754] c2_1(a1232) | c0_1(a1232) | hskp19(0) | hskp24(0).
% 561788 [binary:546765,561784,binarycut:546764] -hskp14(0) | hskp19(0) | hskp24(0).
% 561790 [binary:546711,561788] hskp19(0) | hskp24(0).
% 561792 [binary:546686,561790] c1_1(a1247) | hskp24(0).
% 561793 [binary:557663,561790] c0_1(a1247) | hskp24(0).
% 561797 [binary:561549,561792,binarycut:561793] c2_1(a1247) | hskp24(0).
% 561801 [binary:546757,561797,binarycut:561790] hskp24(0).
% 561802 [binary:546691,561801] c0_1(a1267).
% 561803 [binary:561439,561802] c2_1(a1267) | c3_1(a1267).
% 561805 [binary:546748,561803,cut:561801] c3_1(a1267).
% 561806 [binary:559074,561805,cut:561802] -c1_1(a1267).
% 561807 [binary:561727,561805,cut:561806] c2_1(a1267).
% 561808 [binary:546748,561807,cut:561801] 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: 24697
% derived clauses: 1209321
% kept clauses: 286700
% kept size sum: 729502
% kept mid-nuclei: 154473
% kept new demods: 0
% forw unit-subs: 23
% forw double-subs: 91114
% forw overdouble-subs: 490674
% backward subs: 6429
% fast unit cutoff: 10457
% full unit cutoff: 0
% dbl unit cutoff: 19082
% real runtime: 267.1
% process. runtime: 265.51
% specific non-discr-tree subsumption statistics:
% tried: 107366403
% length fails: 864369
% strength fails: 39243613
% predlist fails: 53315657
% aux str. fails: 858789
% by-lit fails: 9079299
% full subs tried: 1963071
% full subs fail: 1879147
%
% ; 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/SYN477-1+noeq.in")
%
%------------------------------------------------------------------------------