TSTP Solution File: SYN501-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN501-1 : 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 : art05.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 248.5s
% Output : Assurance 248.5s
% 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/SYN501-1+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(199,40,1,398,0,1,158362,4,2292,207301,5,3002,207302,1,3002,207302,50,3004,207302,40,3004,207501,0,3004,207715,50,3004,207914,0,3010,208128,50,3010,208327,0,3010,208541,50,3011,208740,0,3015,208954,50,3015,209153,0,3016,209367,50,3016,209566,0,3020,209780,50,3021,209979,0,3021,210193,50,3022,210392,0,3026,210606,50,3026,210805,0,3031,211019,50,3031,211218,0,3031,211432,50,3032,211631,0,3036,211845,50,3037,212044,0,3037,212258,50,3038,212457,0,3042,212671,50,3042,212870,0,3043,213084,50,3043,213283,0,3048,213497,50,3048,213696,0,3052,213910,50,3053,214109,0,3053,214323,50,3054,214522,0,3058,214736,50,3059,214935,0,3059,215149,50,3059,215348,0,3064,215562,50,3064,215761,0,3064,215975,50,3065,215975,40,3065,216174,0,3070,237610,3,3971,239607,4,4421,240604,5,4871,240605,1,4871,240605,50,4871,240605,40,4871,240804,0,4872,407990,3,9376,409470,4,11623,410940,5,13874,410941,1,13874,410941,50,13875,410941,40,13875,411140,0,13876,456594,3,15391,457306,4,16127,458643,1,16877,458643,50,16878,458643,40,16878,458842,0,16878,519134,3,19580,519686,4,20929,520402,5,22279,520403,1,22279,520403,50,22281,520403,40,22281,520602,0,22281,565155,3,23782,565830,4,24532,567165,5,25282,567166,1,25282,567166,50,25283,567166,40,25283,567365,0,25283,567592,50,25284,567592,40,25284,567791,0,25288)
%
%
% START OF PROOF
% 567593 [] -ndr1_0(0) | -c3_1(Y) | -c3_1(X) | -c2_1(Z) | -c2_1(Y) | -c2_1(X) | -c0_1(Z) | -c0_1(X) | c1_1(Y) | c1_1(Z).
% 567595 [] -ndr1_0(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c2_1(Z) | -c2_1(X) | -c0_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Z).
% 567596 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | -c0_1(Z) | -c0_1(Y) | -c0_1(X) | c1_1(Z) | c1_1(Y) | c3_1(X) | c2_1(Z).
% 567599 [] -ndr1_0(0) | -c1_1(X) | -c3_1(X) | -c0_1(Y) | -c0_1(Z) | c1_1(Z) | c3_1(Z) | c3_1(Y) | c2_1(X) | c2_1(Y).
% 567601 [] -ndr1_0(0) | -c1_1(X) | -c3_1(Y) | -c2_1(Y) | -c0_1(X) | c3_1(Z) | c2_1(Z) | c2_1(X) | c0_1(Z) | c0_1(Y).
% 567602 [] -ndr1_0(0) | -c1_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Z) | c1_1(Y) | c3_1(Z) | c3_1(X) | c0_1(Z).
% 567603 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | -c2_1(X) | c1_1(Z) | c3_1(Z) | c3_1(Y) | c3_1(X) | c2_1(Z) | c2_1(Y).
% 567606 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | c1_1(Z) | c1_1(Y) | c3_1(X) | c2_1(Z) | c0_1(Z) | c0_1(Y) | c0_1(X).
% 567609 [] -ndr1_0(0) | hskp11(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c2_1(X).
% 567611 [?] ?
% 567614 [?] ?
% 567617 [?] ?
% 567629 [?] ?
% 567631 [?] ?
% 567634 [?] ?
% 567636 [?] ?
% 567637 [?] ?
% 567638 [?] ?
% 567643 [?] ?
% 567650 [?] ?
% 567654 [?] ?
% 567657 [?] ?
% 567658 [?] ?
% 567659 [?] ?
% 567660 [] -hskp0(0) | c0_1(a97).
% 567661 [] -hskp1(0) | c0_1(a98).
% 567662 [] -hskp2(0) | c2_1(a99).
% 567665 [] -hskp4(0) | c2_1(a103).
% 567666 [] -hskp4(0) | c0_1(a103).
% 567667 [] -hskp5(0) | c2_1(a104).
% 567668 [] -hskp6(0) | c2_1(a105).
% 567669 [] -hskp6(0) | c1_1(a105).
% 567670 [] -hskp7(0) | c3_1(a106).
% 567671 [] -hskp7(0) | c2_1(a106).
% 567672 [] -hskp8(0) | c3_1(a107).
% 567673 [] -hskp9(0) | c2_1(a108).
% 567674 [] -hskp9(0) | c1_1(a108).
% 567675 [] -hskp10(0) | c1_1(a110).
% 567676 [] -hskp11(0) | c3_1(a112).
% 567677 [] -hskp12(0) | c1_1(a113).
% 567678 [] -hskp12(0) | c0_1(a113).
% 567679 [] -hskp13(0) | c1_1(a116).
% 567680 [] -hskp13(0) | c0_1(a116).
% 567681 [] -hskp16(0) | c0_1(a122).
% 567682 [] -hskp17(0) | c2_1(a124).
% 567683 [] -hskp18(0) | c2_1(a129).
% 567684 [] -hskp18(0) | c0_1(a129).
% 567685 [] -hskp19(0) | c3_1(a130).
% 567686 [] -hskp19(0) | c1_1(a130).
% 567687 [] -hskp21(0) | c3_1(a136).
% 567692 [] -hskp25(0) | c1_1(a173).
% 567695 [] -hskp27(0) | c3_1(a101).
% 567696 [] -hskp27(0) | c1_1(a101).
% 567705 [] hskp8(0) | hskp10(0) | hskp16(0).
% 567710 [] hskp17(0) | hskp18(0) | hskp19(0).
% 567711 [] hskp4(0) | hskp18(0) | hskp20(0).
% 567727 [] -hskp12(0) | ndr1_0(0).
% 567728 [] -hskp13(0) | ndr1_0(0).
% 567745 [] hskp13(0) | hskp12(0).
% 567747 [] -c0_1(a173) | -hskp25(0).
% 567748 [] -c3_1(a173) | -hskp25(0).
% 567754 [] -c1_1(a136) | -hskp21(0).
% 567755 [] -c2_1(a136) | -hskp21(0).
% 567756 [] -c1_1(a132) | -hskp20(0).
% 567757 [] -c2_1(a132) | -hskp20(0).
% 567758 [] -c3_1(a132) | -hskp20(0).
% 567759 [] -c2_1(a130) | -hskp19(0).
% 567760 [] -c1_1(a129) | -hskp18(0).
% 567761 [] -c1_1(a124) | -hskp17(0).
% 567762 [] -c3_1(a124) | -hskp17(0).
% 567763 [] -c1_1(a122) | -hskp16(0).
% 567764 [] -c2_1(a122) | -hskp16(0).
% 567771 [] -c3_1(a116) | -hskp13(0).
% 567772 [] -c2_1(a113) | -hskp12(0).
% 567773 [] -c0_1(a112) | -hskp11(0).
% 567774 [] -c1_1(a112) | -hskp11(0).
% 567775 [] -c2_1(a110) | -hskp10(0).
% 567776 [] -c3_1(a110) | -hskp10(0).
% 567777 [] -c0_1(a108) | -hskp9(0).
% 567778 [] -c0_1(a107) | -hskp8(0).
% 567779 [] -c2_1(a107) | -hskp8(0).
% 567780 [] -c0_1(a106) | -hskp7(0).
% 567781 [] -c3_1(a105) | -hskp6(0).
% 567782 [] -c0_1(a104) | -hskp5(0).
% 567783 [] -c3_1(a104) | -hskp5(0).
% 567784 [] -c3_1(a103) | -hskp4(0).
% 567786 [] -c0_1(a99) | -hskp2(0).
% 567787 [] -c1_1(a99) | -hskp2(0).
% 567788 [] -c1_1(a98) | -hskp1(0).
% 567789 [] -c3_1(a98) | -hskp1(0).
% 567790 [] -c2_1(a97) | -hskp0(0).
% 567791 [] -c3_1(a97) | -hskp0(0).
% 567947 [binary:567679,567745] c1_1(a116) | hskp12(0).
% 567948 [binary:567680,567745] c0_1(a116) | hskp12(0).
% 567950 [binary:567728,567745,binarycut:567727] ndr1_0(0).
% 567957 [binary:567599,567950] -c1_1(X) | -c3_1(X) | -c0_1(Y) | -c0_1(Z) | c1_1(Z) | c3_1(Y) | c3_1(Z) | c2_1(X) | c2_1(Y).
% 567959 [binary:567601,567950] -c1_1(X) | -c3_1(Y) | -c2_1(Y) | -c0_1(X) | c3_1(Z) | c2_1(X) | c2_1(Z) | c0_1(Z) | c0_1(Y).
% 567960 [binary:567602,567950] -c1_1(X) | -c3_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Z) | c1_1(Y) | c3_1(X) | c3_1(Z) | c0_1(Z).
% 567961 [binary:567603,567950] -c1_1(X) | -c1_1(Y) | -c2_1(Y) | c1_1(Z) | c3_1(Y) | c3_1(Z) | c3_1(X) | c2_1(Z) | c2_1(X).
% 567967 [binary:567609,567950] hskp11(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c2_1(X).
% 567973 [input:567611,cut:567950] hskp1(0) | -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X).
% 567974 [binary:567661,567973] c0_1(a98) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X).
% 567976 [binary:567672,567705] c3_1(a107) | hskp10(0) | hskp16(0).
% 567988 [binary:567682,567710] c2_1(a124) | hskp18(0) | hskp19(0).
% 567990 [binary:567665,567711] c2_1(a103) | hskp18(0) | hskp20(0).
% 567991 [binary:567666,567711] c0_1(a103) | hskp18(0) | hskp20(0).
% 568004 [input:567614,cut:567950] hskp16(0) | -c1_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 568005 [binary:567681,568004] c0_1(a122) | -c1_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 568027 [input:567617,cut:567950] hskp20(0) | -c3_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c1_1(X) | c2_1(Y).
% 568028 [input:567593,factor:factor:factor:factor:cut:567950] -c3_1(X) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 568038 [input:567643,cut:567950] hskp0(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 568039 [binary:567660,568038] c0_1(a97) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 568053 [input:567617,factor:cut:567950] hskp20(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 568058 [input:567629,factor:cut:567950] hskp1(0) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 568059 [binary:567661,568058] c0_1(a98) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 568091 [input:567634,cut:567950] hskp16(0) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 568092 [binary:567681,568091] c0_1(a122) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 568104 [input:567636,cut:567950] hskp19(0) | hskp27(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 568105 [binary:567685,568104] c3_1(a130) | hskp27(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 568107 [binary:567686,568104] c1_1(a130) | hskp27(0) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 568112 [input:567637,cut:567950] hskp4(0) | hskp7(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 568113 [binary:567665,568112] c2_1(a103) | hskp7(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 568115 [binary:567666,568112] c0_1(a103) | hskp7(0) | -c3_1(X) | -c0_1(X) | c2_1(X).
% 568122 [input:567638,cut:567950] hskp7(0) | hskp20(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 568123 [binary:567670,568122] c3_1(a106) | hskp20(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 568124 [binary:567671,568122] c2_1(a106) | hskp20(0) | -c1_1(X) | -c0_1(X) | c2_1(X).
% 568171 [input:567631,cut:567950] hskp0(0) | -c3_1(X) | c1_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y) | c0_1(X).
% 568172 [binary:567660,568171] c0_1(a97) | -c3_1(X) | c1_1(Y) | c2_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 568198 [input:567650,cut:567950] hskp2(0) | hskp21(0) | -c0_1(X) | c1_1(X) | c2_1(X).
% 568199 [binary:567662,568198] c2_1(a99) | hskp21(0) | -c0_1(X) | c1_1(X) | c2_1(X).
% 568220 [input:567654,cut:567950] hskp6(0) | hskp9(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 568221 [binary:567668,568220] c2_1(a105) | hskp9(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 568222 [binary:567669,568220] c1_1(a105) | hskp9(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 568241 [input:567657,cut:567950] hskp18(0) | hskp19(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 568242 [binary:567683,568241] c2_1(a129) | hskp19(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 568244 [binary:567684,568241] c0_1(a129) | hskp19(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 568250 [input:567658,cut:567950] hskp5(0) | hskp11(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 568251 [binary:567667,568250] c2_1(a104) | hskp11(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 568257 [input:567659,cut:567950] hskp1(0) | hskp2(0) | c1_1(X) | c2_1(X) | c0_1(X).
% 568258 [binary:567661,568257] c0_1(a98) | hskp2(0) | c1_1(X) | c2_1(X) | c0_1(X).
% 568266 [input:567595,factor:cut:567950] -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y).
% 568272 [binary:568107,568266] -c3_1(a130) | -c2_1(a130) | hskp27(0) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y).
% 568286 [input:567596,factor:cut:567950] -c2_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(X) | c2_1(Y).
% 568293 [binary:568113,568286,factor:factor] -c0_1(a103) | c1_1(a103) | c3_1(a103) | hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 568310 [binary:568242,568286,factor:factor:factor] -c0_1(a129) | c1_1(a129) | c3_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 568318 [input:567599,factor:cut:567950] -c1_1(X) | -c3_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y).
% 568362 [binary:567676,567967] c3_1(a112) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c2_1(X).
% 568364 [input:567606,factor:cut:567950] -c2_1(X) | c1_1(Y) | c1_1(X) | c3_1(X) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 568371 [binary:568199,568364] c1_1(a99) | c3_1(a99) | c0_1(a99) | hskp21(0) | -c0_1(X) | c1_1(X) | c1_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 568378 [binary:568251,568364,factor:factor:factor] c1_1(a104) | c3_1(a104) | c0_1(a104) | hskp11(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 568643 [binary:568107,567957,factor] -c3_1(a130) | c2_1(a130) | hskp27(0) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 568736 [binary:567947,567959,binarycut:567948] c2_1(a116) | hskp12(0) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 568973 [binary:568115,568293,factor] c1_1(a103) | c3_1(a103) | hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 568981 [binary:567960,568973,factor:factor] -c0_1(a103) | c3_1(a103) | hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 568987 [binary:568244,568310,factor:factor:factor] c1_1(a129) | c3_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 568990 [binary:567760,568987] -hskp18(0) | c3_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569000 [binary:568241,568990,factor:factor] c3_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569002 [binary:568028,569000] -c2_1(a129) | -c0_1(a129) | c1_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569028 [binary:568242,569002,factor:factor] -c0_1(a129) | c1_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569033 [binary:568244,569028,factor:factor] c1_1(a129) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569037 [binary:568105,568272,factor] -c2_1(a130) | hskp27(0) | -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X).
% 569039 [binary:567760,569033] -hskp18(0) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569047 [binary:568241,569039,factor] hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569049 [binary:567685,569047] c3_1(a130) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569051 [binary:567686,569047] c1_1(a130) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569060 [binary:568318,569051,factor:factor] -c3_1(a130) | c2_1(a130) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569074 [binary:569049,569060,factor:factor] c2_1(a130) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569076 [binary:567759,569074] -hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569081 [binary:569047,569076,factor] -c0_1(X) | c1_1(X) | c3_1(X) | c2_1(X).
% 569084 [binary:568039,569081] c1_1(a97) | c3_1(a97) | c2_1(a97) | -c1_1(X) | -c0_1(X) | c3_1(X).
% 569085 [binary:568059,569081] c1_1(a98) | c3_1(a98) | c2_1(a98) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 569088 [binary:568092,569081] c1_1(a122) | c3_1(a122) | c2_1(a122) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 569094 [binary:568005,569081] c1_1(a122) | c3_1(a122) | c2_1(a122) | -c1_1(X) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 569111 [binary:567961,569084,factor:factor] c3_1(a97) | c2_1(a97) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y).
% 569115 [binary:567788,569085,binarycut:567789] -hskp1(0) | c2_1(a98) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 569124 [binary:568058,569115,factor] c2_1(a98) | -c2_1(X) | c1_1(X) | c3_1(X) | c0_1(X).
% 569151 [binary:567763,569088,binarycut:567764] -hskp16(0) | c3_1(a122) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 569162 [binary:568091,569151,factor:factor] c3_1(a122) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 569352 [binary:567791,569111,binarycut:567790] -hskp0(0) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y).
% 569356 [binary:568038,569352,factor] -c1_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y).
% 569359 [binary:567947,569356,binarycut:567948] -c2_1(a116) | c3_1(a116) | hskp12(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 569386 [binary:568736,569359,factor:factor] c3_1(a116) | hskp12(0) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 569405 [binary:567771,569386,binarycut:567745] hskp12(0) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 569407 [binary:567677,569405] c1_1(a113) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 569409 [binary:567678,569405] c0_1(a113) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 569434 [binary:567959,569407,factor:factor:factor:factor] -c0_1(a113) | c2_1(a113) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 569453 [binary:569409,569434,factor:factor:factor:factor] c2_1(a113) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 569455 [binary:567772,569453] -hskp12(0) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 569463 [binary:569405,569455,factor:factor] -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 569736 [binary:567787,568371,binarycut:567786] -hskp2(0) | c3_1(a99) | hskp21(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 569867 [binary:567763,569094,binarycut:567764] -hskp16(0) | c3_1(a122) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 569879 [binary:568004,569867,factor:factor:factor:factor] c3_1(a122) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 569958 [binary:568198,569736,factor] c3_1(a99) | hskp21(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 569967 [binary:569463,569958,factor:factor:factor] -c2_1(a99) | c0_1(a99) | hskp21(0) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 570291 [binary:568105,568643,factor] c2_1(a130) | hskp27(0) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570293 [binary:567759,570291] -hskp19(0) | hskp27(0) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 570296 [binary:569037,570291,factor:factor] hskp27(0) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570310 [binary:567696,570296] c1_1(a101) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 570318 [binary:568266,570310,factor:factor] -c3_1(a101) | -c2_1(a101) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570328 [binary:568104,570293,factor] hskp27(0) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 570330 [binary:567695,570328] c3_1(a101) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 570333 [binary:567696,570328] c1_1(a101) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 570354 [binary:567957,570333,factor:factor:factor:factor] -c3_1(a101) | c2_1(a101) | -c1_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570364 [binary:570330,570354,factor:factor:factor:factor] c2_1(a101) | -c1_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570437 [binary:570330,570318,factor:factor] -c2_1(a101) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570441 [binary:570364,570437,factor:factor] -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X).
% 570451 [binary:569084,570441] -c0_1(a97) | c3_1(a97) | c2_1(a97) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y).
% 570753 [binary:568115,568981,factor] c3_1(a103) | hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 570755 [binary:567784,570753] -hskp4(0) | hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 570766 [binary:568112,570755,factor] hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 570768 [binary:567670,570766] c3_1(a106) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 570770 [binary:567671,570766] c2_1(a106) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 570795 [binary:569463,570768,factor:factor:factor] -c2_1(a106) | c0_1(a106) | -c3_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 570827 [binary:570770,570795,factor:factor:factor:factor] c0_1(a106) | -c3_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 570829 [binary:567780,570827] -hskp7(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 570837 [binary:570766,570829,factor:factor] -c3_1(X) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 571431 [binary:568199,569967,factor] c0_1(a99) | hskp21(0) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 571433 [binary:567786,571431] -hskp2(0) | hskp21(0) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 571442 [binary:568198,571433,factor] hskp21(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 571444 [binary:567687,571442] c3_1(a136) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 571463 [binary:569463,571444,factor:factor:factor] -c2_1(a136) | c0_1(a136) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 571466 [binary:570837,571444,factor:factor:factor:factor] -c0_1(a136) | c1_1(a136) | c2_1(a136) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 571518 [binary:568039,570451,factor:factor] c3_1(a97) | c2_1(a97) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y).
% 571521 [binary:567791,571518,binarycut:567790] -hskp0(0) | -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X).
% 571525 [binary:568038,571521,factor] -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X).
% 571528 [binary:567947,571525,binarycut:567948] c3_1(a116) | hskp12(0) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571572 [binary:567771,571528,binarycut:567745] hskp12(0) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571574 [binary:567677,571572] c1_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571576 [binary:567678,571572] c0_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571580 [binary:568266,571574,factor:factor] -c3_1(a113) | -c2_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571582 [binary:567957,571574,factor] -c3_1(a113) | c2_1(a113) | -c2_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y).
% 571586 [binary:571525,571574,factor:factor:factor] -c0_1(a113) | c3_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571597 [binary:571576,571586,factor:factor] c3_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571605 [binary:571580,571597,factor:factor] -c2_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 571646 [binary:571597,571582,factor] c2_1(a113) | -c2_1(X) | -c0_1(X) | -c0_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y).
% 571655 [binary:571605,571646,factor] -c2_1(X) | -c0_1(Y) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y).
% 571668 [binary:567988,571655] -c0_1(a124) | c1_1(a124) | c3_1(a124) | hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 571693 [binary:569124,571655] -c0_1(a98) | c1_1(a98) | c3_1(a98) | -c2_1(X) | -c0_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X).
% 572005 [binary:568059,571693,factor:factor:factor] c1_1(a98) | c3_1(a98) | -c2_1(X) | -c0_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X).
% 572008 [binary:567788,572005,binarycut:567789] -hskp1(0) | -c2_1(X) | -c0_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X).
% 572021 [binary:568058,572008,factor] -c2_1(X) | -c0_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X).
% 572024 [binary:567988,572021] c1_1(a124) | c3_1(a124) | c0_1(a124) | hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572073 [binary:567761,572024,binarycut:567762] -hskp17(0) | c0_1(a124) | hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572079 [binary:567710,572073] c0_1(a124) | hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572089 [binary:571668,572079,factor:factor] c1_1(a124) | c3_1(a124) | hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572093 [binary:567761,572089,binarycut:567762] -hskp17(0) | hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572101 [binary:567710,572093] hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572103 [binary:567683,572101] c2_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572105 [binary:567684,572101] c0_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572110 [binary:571655,572103,factor:factor:factor] -c0_1(a129) | c1_1(a129) | c3_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572123 [binary:572105,572110,factor:factor] c1_1(a129) | c3_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572125 [binary:567760,572123] -hskp18(0) | c3_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572141 [binary:572101,572125,factor:factor] c3_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572143 [binary:568028,572141] -c2_1(a129) | -c0_1(a129) | c1_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572154 [binary:572103,572143,factor:factor] -c0_1(a129) | c1_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572164 [binary:572105,572154,factor] c1_1(a129) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572166 [binary:567760,572164] -hskp18(0) | hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572176 [binary:572101,572166,factor] hskp19(0) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572188 [binary:567685,572176] c3_1(a130) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572190 [binary:567686,572176] c1_1(a130) | -c0_1(X) | c3_1(X) | c2_1(X).
% 572204 [binary:567957,572190,factor:factor:factor] -c3_1(a130) | c2_1(a130) | -c0_1(X) | -c0_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y).
% 572239 [binary:572188,572204,factor:factor] c2_1(a130) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 572242 [binary:567759,572239] -hskp19(0) | -c0_1(X) | -c0_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y).
% 572264 [binary:572176,572242,factor:factor] -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X).
% 572279 [binary:568258,572264] c1_1(a98) | c3_1(a98) | hskp2(0) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 572283 [binary:567974,572264,factor:factor:factor:factor] c1_1(a98) | c3_1(a98) | -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(X).
% 572435 [binary:567788,572283,binarycut:567789] -hskp1(0) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X) | c2_1(X).
% 572445 [binary:567973,572435,factor:factor] -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(X).
% 572456 [binary:569084,572445] -c0_1(a97) | c3_1(a97) | c2_1(a97) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X).
% 572751 [binary:567788,572279,binarycut:567789] -hskp1(0) | hskp2(0) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572766 [binary:568257,572751,factor] hskp2(0) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 572768 [binary:567662,572766] c2_1(a99) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 572799 [binary:568364,572768,factor:factor:factor:factor] c1_1(a99) | c3_1(a99) | c0_1(a99) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 572814 [binary:568039,572456,factor:factor] c3_1(a97) | c2_1(a97) | -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X).
% 572817 [binary:567791,572814,binarycut:567790] -hskp0(0) | -c1_1(X) | -c2_1(Y) | -c0_1(X) | -c0_1(Y) | c1_1(Y) | c3_1(X).
% 572821 [binary:568038,572817,factor] -c1_1(X) | -c2_1(Y) | -c0_1(Y) | -c0_1(X) | c1_1(Y) | c3_1(X).
% 572824 [binary:567947,572821,binarycut:567948] c3_1(a116) | hskp12(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 572830 [binary:568222,572821] -c0_1(a105) | c3_1(a105) | hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c0_1(X).
% 572887 [binary:567771,572824,binarycut:567745] hskp12(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 572889 [binary:567677,572887] c1_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 572891 [binary:567678,572887] c0_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 572904 [binary:572821,572889,factor:factor] -c0_1(a113) | c3_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 572913 [binary:572891,572904,factor] c3_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 572947 [binary:567787,572799,binarycut:567786] -hskp2(0) | c3_1(a99) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572964 [binary:572766,572947,factor:factor:factor] c3_1(a99) | -c0_1(X) | c1_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572969 [binary:569463,572964,factor:factor] -c2_1(a99) | c0_1(a99) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572976 [binary:572768,572969,factor:factor:factor:factor] c0_1(a99) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572978 [binary:567786,572976] -hskp2(0) | -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572986 [binary:572766,572978,factor:factor] -c0_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 572999 [binary:568172,572986,factor:factor:factor] c3_1(a97) | c2_1(a97) | -c3_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(X) | c0_1(Y).
% 573133 [binary:567791,572999,binarycut:567790] -hskp0(0) | -c3_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y) | c0_1(X).
% 573144 [binary:568171,573133,factor:factor] -c3_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 573147 [binary:567976,573144] c2_1(a107) | c0_1(a107) | hskp10(0) | hskp16(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 573164 [binary:571444,573144,factor:factor:factor:factor:factor] c2_1(a136) | c0_1(a136) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 573259 [binary:567779,573147,binarycut:567778] -hskp8(0) | hskp10(0) | hskp16(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 573269 [binary:567705,573259] hskp10(0) | hskp16(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 573271 [binary:567675,573269] c1_1(a110) | hskp16(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 573290 [binary:567961,573271,factor:factor:factor] c3_1(a110) | c2_1(a110) | hskp16(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 573395 [binary:571463,573164,factor:factor:factor:factor:factor] c0_1(a136) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 573401 [binary:571466,573395,factor:factor:factor:factor:factor:factor] c1_1(a136) | c2_1(a136) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 573428 [binary:567754,573401,binarycut:567755] -hskp21(0) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 573433 [binary:571442,573428,factor:factor] -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 574109 [binary:567776,573290,binarycut:567775] -hskp10(0) | hskp16(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 574133 [binary:573269,574109,factor] hskp16(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 574136 [binary:567681,574133] c0_1(a122) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 574153 [binary:573433,574136,factor:factor:factor] c1_1(a122) | c2_1(a122) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 574164 [binary:567763,574153,binarycut:567764] -hskp16(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 574173 [binary:574133,574164,factor:factor] -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 574185 [binary:568378,574173,factor:factor:factor] -c2_1(a104) | c3_1(a104) | c0_1(a104) | hskp11(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574254 [binary:568251,574185,factor:factor:factor] c3_1(a104) | c0_1(a104) | hskp11(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574258 [binary:567783,574254,binarycut:567782] -hskp5(0) | hskp11(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574269 [binary:568250,574258,factor] hskp11(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574271 [binary:567676,574269] c3_1(a112) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574286 [binary:569463,574271,factor:factor] -c2_1(a112) | c0_1(a112) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574289 [binary:573144,574271,factor:factor:factor] c2_1(a112) | c0_1(a112) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574299 [binary:574286,574289,factor:factor] c0_1(a112) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574308 [binary:567773,574299] -hskp11(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574316 [binary:574269,574308,factor] c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 574321 [binary:567756,574316,binarycut:567758,binarycut:567757] -hskp20(0) | c0_1(a132).
% 574333 [binary:568053,574321] c0_1(a132) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 574339 [binary:569081,574333] c1_1(a132) | c3_1(a132) | c2_1(a132) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 574434 [binary:567756,574339,binarycut:567758,binarycut:567757] -hskp20(0) | -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 574446 [binary:568027,574434,factor:factor] -c3_1(X) | -c0_1(X) | c1_1(X) | c2_1(X).
% 574460 [binary:569162,574446] -c0_1(a122) | c1_1(a122) | c2_1(a122) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 574461 [binary:569879,574446] -c0_1(a122) | c1_1(a122) | c2_1(a122) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 574499 [binary:568092,574460,factor] c1_1(a122) | c2_1(a122) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 574502 [binary:567763,574499,binarycut:567764] -hskp16(0) | hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 574508 [binary:568091,574502,factor] hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 574510 [binary:567692,574508] c1_1(a173) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 574890 [binary:568005,574461,factor:factor] c1_1(a122) | c2_1(a122) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 574893 [binary:567763,574890,binarycut:567764] -hskp16(0) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 574899 [binary:568004,574893,factor:factor:factor] -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(Y) | c0_1(X).
% 574910 [binary:568222,574899] -c2_1(a105) | c0_1(a105) | hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X).
% 574934 [binary:574510,574899,factor:factor] -c2_1(a173) | c0_1(a173) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 575196 [binary:568221,574910,factor:factor] c0_1(a105) | hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X).
% 575202 [binary:572830,575196,factor:factor:factor:factor] c3_1(a105) | hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X).
% 575205 [binary:567781,575202] -hskp6(0) | hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X).
% 575214 [binary:568220,575205,factor] hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X).
% 575216 [binary:567673,575214] c2_1(a108) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y) | c0_1(X).
% 575217 [binary:567674,575214] c1_1(a108) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y) | c0_1(X).
% 575288 [binary:574899,575217,factor:factor:factor] -c2_1(a108) | c0_1(a108) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y) | c0_1(X).
% 575296 [binary:575216,575288,factor:factor:factor] c0_1(a108) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y) | c0_1(X).
% 575298 [binary:567777,575296] -hskp9(0) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X).
% 575320 [binary:575214,575298,factor:factor] -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y) | c0_1(X).
% 575329 [binary:568362,575320,factor] c1_1(a112) | c0_1(a112) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c2_1(X).
% 575366 [binary:567774,575329,binarycut:567773] -hskp11(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c2_1(X).
% 575383 [binary:567967,575366,factor:factor] -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c0_1(Y) | c1_1(Y) | c3_1(Y) | c2_1(X).
% 575396 [binary:572889,575383,factor] -c3_1(a113) | c2_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 575417 [binary:572913,575396,factor] c2_1(a113) | -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 575421 [binary:571605,575417,factor] -c2_1(X) | -c0_1(X) | c1_1(X) | c3_1(X).
% 575425 [binary:567990,575421] -c0_1(a103) | c1_1(a103) | c3_1(a103) | hskp18(0) | hskp20(0).
% 575493 [binary:567991,575425] c1_1(a103) | c3_1(a103) | hskp18(0) | hskp20(0).
% 575496 [binary:569356,575493] -c2_1(a103) | -c0_1(a103) | c3_1(a103) | hskp18(0) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 575497 [binary:572821,575493] -c0_1(a103) | c3_1(a103) | hskp18(0) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576386 [binary:567991,575497] c3_1(a103) | hskp18(0) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576388 [binary:567784,576386] -hskp4(0) | hskp18(0) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576390 [binary:568028,576386,factor] -c2_1(a103) | -c0_1(a103) | c1_1(a103) | hskp18(0) | hskp20(0).
% 576400 [binary:567990,576390] -c0_1(a103) | c1_1(a103) | hskp18(0) | hskp20(0).
% 576435 [binary:567991,576400] c1_1(a103) | hskp18(0) | hskp20(0).
% 576437 [binary:567711,576388] hskp18(0) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576443 [binary:567683,576437] c2_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576444 [binary:567684,576437] c0_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576446 [binary:575421,576443] -c0_1(a129) | c1_1(a129) | c3_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576599 [binary:576444,576446,factor:factor] c1_1(a129) | c3_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576601 [binary:567760,576599] -hskp18(0) | c3_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576622 [binary:576437,576601,factor] c3_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576625 [binary:568028,576622,factor] -c2_1(a129) | -c0_1(a129) | c1_1(a129) | hskp20(0).
% 576639 [binary:576443,576625] -c0_1(a129) | c1_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576650 [binary:576444,576639,factor:factor] c1_1(a129) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576652 [binary:567760,576650] -hskp18(0) | hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576670 [binary:576437,576652,factor] hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576672 [binary:574321,576670] c0_1(a132) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576674 [binary:569081,576672] c1_1(a132) | c3_1(a132) | c2_1(a132) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576679 [binary:567756,576674,binarycut:567758,binarycut:567757] -hskp20(0) | -c2_1(X) | -c0_1(X) | c1_1(X).
% 576688 [binary:576670,576679,factor] -c2_1(X) | -c0_1(X) | c1_1(X).
% 577618 [binary:567990,575496] -c0_1(a103) | c3_1(a103) | hskp18(0) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577620 [binary:567991,577618] c3_1(a103) | hskp18(0) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577622 [binary:567784,577620] -hskp4(0) | hskp18(0) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577628 [binary:567711,577622] hskp18(0) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577630 [binary:567683,577628] c2_1(a129) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577632 [binary:567684,577628] c0_1(a129) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577637 [binary:576688,577630] -c0_1(a129) | c1_1(a129) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577651 [binary:577632,577637,factor:factor] c1_1(a129) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577654 [binary:567760,577651] -hskp18(0) | hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577674 [binary:577628,577654,factor] hskp20(0) | c1_1(X) | c3_1(X) | c2_1(X).
% 577676 [binary:574321,577674] c0_1(a132) | c1_1(X) | c3_1(X) | c2_1(X).
% 577679 [binary:569081,577676,factor] c1_1(a132) | c3_1(a132) | c2_1(a132).
% 577685 [binary:567756,577679,binarycut:567758,binarycut:567757] -hskp20(0).
% 577689 [binary:577674,577685] c1_1(X) | c3_1(X) | c2_1(X).
% 577699 [binary:567959,577689] -c3_1(X) | -c2_1(X) | -c0_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c2_1(Y) | c0_1(Z) | c0_1(X).
% 577783 [binary:568123,577699,cut:577685,factor] -c2_1(a106) | c0_1(a106) | -c1_1(X) | -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 578397 [binary:568124,577783,cut:577685,factor] c0_1(a106) | -c1_1(X) | -c0_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 578399 [binary:567780,578397] -hskp7(0) | -c1_1(X) | -c0_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 578407 [binary:568122,578399,cut:577685,factor] -c1_1(X) | -c0_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y).
% 578428 [binary:577689,578407] -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 578432 [binary:568039,578428] c3_1(a97) | c2_1(a97) | -c1_1(X) | -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 578544 [binary:567791,578432,binarycut:567790] -hskp0(0) | -c1_1(X) | -c0_1(X) | c3_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 578548 [binary:568038,578544,factor] -c1_1(X) | -c0_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 578578 [binary:576435,578548,cut:577685] -c0_1(a103) | c3_1(a103) | hskp18(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 578628 [binary:567991,578578,cut:577685] c3_1(a103) | hskp18(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 578630 [binary:567784,578628] -hskp4(0) | hskp18(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 578640 [binary:567711,578630,cut:577685] hskp18(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 578642 [binary:567683,578640] c2_1(a129) | c3_1(X) | c2_1(X) | c0_1(X).
% 578644 [binary:567684,578640] c0_1(a129) | c3_1(X) | c2_1(X) | c0_1(X).
% 578650 [binary:576688,578642] -c0_1(a129) | c1_1(a129) | c3_1(X) | c2_1(X) | c0_1(X).
% 578658 [binary:578644,578650,factor] c1_1(a129) | c3_1(X) | c2_1(X) | c0_1(X).
% 578660 [binary:567760,578658] -hskp18(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 578672 [binary:578640,578660,factor] c3_1(X) | c2_1(X) | c0_1(X).
% 578675 [binary:567748,578672,binarycut:567747] -hskp25(0) | c2_1(a173).
% 578715 [binary:574508,578675] c2_1(a173) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 578729 [binary:574934,578715,factor] c0_1(a173) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 578738 [binary:567747,578729] -hskp25(0) | -c2_1(X) | -c0_1(X) | c3_1(X).
% 578741 [binary:574508,578738,factor] -c2_1(X) | -c0_1(X) | c3_1(X).
% 578745 [binary:567990,578741,cut:577685] -c0_1(a103) | c3_1(a103) | hskp18(0).
% 578769 [binary:567991,578745,cut:577685] c3_1(a103) | hskp18(0).
% 578771 [binary:567784,578769] -hskp4(0) | hskp18(0).
% 578778 [binary:567711,578771,cut:577685] hskp18(0).
% 578779 [binary:567683,578778] c2_1(a129).
% 578780 [binary:567684,578778] c0_1(a129).
% 578781 [binary:576688,578779,cut:578780] c1_1(a129).
% 578783 [binary:567760,578781,cut:578778] 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: 23445
% derived clauses: 1404678
% kept clauses: 244589
% kept size sum: 779602
% kept mid-nuclei: 137865
% kept new demods: 0
% forw unit-subs: 64
% forw double-subs: 201714
% forw overdouble-subs: 501568
% backward subs: 6231
% fast unit cutoff: 16264
% full unit cutoff: 0
% dbl unit cutoff: 42565
% real runtime: 259.64
% process. runtime: 257.81
% specific non-discr-tree subsumption statistics:
% tried: 131900737
% length fails: 612651
% strength fails: 53138758
% predlist fails: 64139884
% aux str. fails: 1483436
% by-lit fails: 8757200
% full subs tried: 1847370
% full subs fail: 1754675
%
% ; 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/SYN501-1+noeq.in")
%
%------------------------------------------------------------------------------