TSTP Solution File: SYN504-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN504-1 : 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 : art08.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 249.1s
% Output : Assurance 249.1s
% 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/SYN504-1+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(208,40,1,416,0,2,123817,4,2426,148764,5,3003,148765,1,3003,148765,50,3004,148765,40,3004,148973,0,3004,149213,50,3004,149421,0,3006,149661,50,3007,149869,0,3007,150109,50,3008,150317,0,3009,150557,50,3010,150765,0,3011,151005,50,3012,151213,0,3012,151453,50,3013,151661,0,3014,151901,50,3015,152109,0,3017,152349,50,3017,152557,0,3017,152797,50,3018,153005,0,3020,153245,50,3020,153453,0,3022,153693,50,3022,153901,0,3023,154141,50,3023,154349,0,3025,154589,50,3025,154797,0,3027,155037,50,3028,155245,0,3028,155485,50,3029,155693,0,3030,155933,50,3031,156141,0,3033,156381,50,3033,156589,0,3033,156829,50,3034,157037,0,3036,157277,50,3036,157485,0,3038,157725,50,3039,157933,0,3039,158173,50,3039,158173,40,3039,158381,0,3041,176668,3,3942,178173,4,4392,180190,1,4842,180190,50,4842,180190,40,4842,180398,0,4842,284962,3,9343,285714,4,11593,289361,5,13844,289362,1,13844,289362,50,13847,289362,40,13847,289570,0,13847,340107,3,15426,340679,4,16099,341921,5,16848,341922,1,16848,341922,50,16849,341922,40,16849,342130,0,16849,399318,3,19551,400153,4,20900,400939,5,22251,400940,1,22251,400940,50,22252,400940,40,22252,401148,0,22252,450697,3,23951,451190,4,24503,452402,5,25253,452403,1,25253,452403,50,25254,452403,40,25254,452611,0,25254,452835,50,25255,452835,40,25255,453043,0,25261)
%
%
% START OF PROOF
% 452838 [] -ndr1_0(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c2_1(Z) | -c2_1(X) | -c0_1(Y) | c3_1(Z) | c3_1(Y) | c0_1(Z).
% 452840 [] -ndr1_0(0) | -c1_1(X) | -c3_1(Y) | -c2_1(Z) | -c2_1(Y) | -c2_1(X) | c1_1(Z) | c1_1(Y) | c3_1(Z) | c3_1(X).
% 452842 [] -ndr1_0(0) | -c1_1(Z) | -c1_1(Y) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | c2_1(Z) | c2_1(X) | c0_1(Z) | c0_1(Y).
% 452843 [] -ndr1_0(0) | -c1_1(X) | -c0_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Z) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Z).
% 452844 [] -ndr1_0(0) | -c1_1(X) | -c3_1(X) | c1_1(Y) | c1_1(Z) | c3_1(Y) | c3_1(Z) | c2_1(Z) | c2_1(X) | c0_1(Y).
% 452845 [] -ndr1_0(0) | -c3_1(X) | -c0_1(X) | c1_1(Y) | c3_1(Z) | c2_1(Y) | c2_1(Z) | c2_1(X) | c0_1(Y) | c0_1(Z).
% 452849 [] -ndr1_0(0) | hskp17(0) | -c1_1(X) | -c1_1(Y) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | c0_1(X).
% 452850 [] -ndr1_0(0) | -c2_1(X) | c1_1(Z) | c1_1(Y) | c1_1(X) | c3_1(Y) | c2_1(Z) | c0_1(Z) | c0_1(Y) | c0_1(X).
% 452854 [?] ?
% 452856 [?] ?
% 452861 [?] ?
% 452863 [?] ?
% 452865 [?] ?
% 452869 [?] ?
% 452872 [?] ?
% 452873 [?] ?
% 452874 [?] ?
% 452875 [?] ?
% 452884 [?] ?
% 452888 [?] ?
% 452891 [?] ?
% 452894 [?] ?
% 452898 [?] ?
% 452899 [?] ?
% 452903 [?] ?
% 452905 [?] ?
% 452907 [?] ?
% 452908 [] -hskp0(0) | c1_1(a353).
% 452914 [] -hskp3(0) | c3_1(a357).
% 452915 [] -hskp3(0) | c1_1(a357).
% 452916 [] -hskp4(0) | c2_1(a358).
% 452918 [] -hskp8(0) | c2_1(a363).
% 452919 [] -hskp8(0) | c1_1(a363).
% 452921 [] -hskp11(0) | c3_1(a368).
% 452922 [] -hskp11(0) | c2_1(a368).
% 452923 [] -hskp12(0) | c3_1(a369).
% 452924 [] -hskp12(0) | c0_1(a369).
% 452925 [] -hskp13(0) | c2_1(a370).
% 452926 [] -hskp13(0) | c0_1(a370).
% 452930 [] -hskp17(0) | c1_1(a380).
% 452931 [] -hskp17(0) | c0_1(a380).
% 452933 [] -hskp20(0) | c1_1(a388).
% 452939 [] -hskp24(0) | c1_1(a399).
% 452944 [] -hskp28(0) | c3_1(a365).
% 452945 [] -hskp28(0) | c2_1(a365).
% 452946 [] -hskp28(0) | c1_1(a365).
% 452956 [] hskp11(0) | hskp24(0) | hskp4(0).
% 452957 [] hskp18(0) | hskp21(0) | hskp6(0).
% 452967 [] -hskp4(0) | ndr1_0(0).
% 452969 [] -hskp6(0) | ndr1_0(0).
% 452995 [] hskp6(0) | hskp4(0).
% 453001 [] -c0_1(a399) | -hskp24(0).
% 453002 [] -c3_1(a399) | -hskp24(0).
% 453005 [] -c0_1(a395) | -hskp21(0).
% 453006 [] -c2_1(a395) | -hskp21(0).
% 453007 [] -c2_1(a388) | -hskp20(0).
% 453008 [] -c3_1(a388) | -hskp20(0).
% 453009 [] -c0_1(a387) | -hskp19(0).
% 453010 [] -c1_1(a387) | -hskp19(0).
% 453011 [] -c2_1(a387) | -hskp19(0).
% 453012 [] -c0_1(a382) | -hskp18(0).
% 453013 [] -c2_1(a382) | -hskp18(0).
% 453014 [] -c3_1(a380) | -hskp17(0).
% 453021 [] -c3_1(a370) | -hskp13(0).
% 453022 [] -c2_1(a369) | -hskp12(0).
% 453023 [] -c1_1(a368) | -hskp11(0).
% 453024 [] -c0_1(a366) | -hskp10(0).
% 453025 [] -c2_1(a366) | -hskp10(0).
% 453026 [] -c3_1(a366) | -hskp10(0).
% 453027 [] -c0_1(a364) | -hskp9(0).
% 453028 [] -c1_1(a364) | -hskp9(0).
% 453029 [] -c3_1(a363) | -hskp8(0).
% 453032 [] -c1_1(a360) | -hskp6(0).
% 453033 [] -c2_1(a360) | -hskp6(0).
% 453034 [] -c3_1(a360) | -hskp6(0).
% 453035 [] -c0_1(a359) | -hskp5(0).
% 453036 [] -c1_1(a359) | -hskp5(0).
% 453037 [] -c3_1(a359) | -hskp5(0).
% 453038 [] -c0_1(a358) | -hskp4(0).
% 453039 [] -c3_1(a358) | -hskp4(0).
% 453040 [] -c0_1(a357) | -hskp3(0).
% 453043 [] -c2_1(a353) | -hskp0(0).
% 453208 [binary:452969,452995,binarycut:452967] ndr1_0(0).
% 453211 [binary:452838,453208] -c1_1(X) | -c3_1(X) | -c2_1(X) | -c2_1(Z) | -c2_1(Y) | -c0_1(Z) | c3_1(Z) | c3_1(Y) | c0_1(Y).
% 453213 [binary:452840,453208] -c1_1(X) | -c3_1(Y) | -c2_1(X) | -c2_1(Z) | -c2_1(Y) | c1_1(Y) | c1_1(Z) | c3_1(Z) | c3_1(X).
% 453215 [binary:452842,453208] -c1_1(Y) | -c1_1(Z) | -c1_1(X) | -c3_1(Y) | -c2_1(X) | c2_1(Y) | c2_1(Z) | c0_1(Z) | c0_1(X).
% 453216 [binary:452843,453208] -c1_1(X) | -c0_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Z) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Z).
% 453217 [binary:452844,453208] -c1_1(X) | -c3_1(X) | c1_1(Y) | c1_1(Z) | c3_1(Y) | c3_1(Z) | c2_1(X) | c2_1(Z) | c0_1(Y).
% 453218 [binary:452845,453208] -c3_1(X) | -c0_1(X) | c1_1(Y) | c3_1(Z) | c2_1(X) | c2_1(Y) | c2_1(Z) | c0_1(Y) | c0_1(Z).
% 453222 [binary:452849,453208] hskp17(0) | -c1_1(X) | -c1_1(Y) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | c0_1(X).
% 453223 [binary:452850,453208] -c2_1(X) | c1_1(Z) | c1_1(X) | c1_1(Y) | c3_1(Z) | c2_1(Y) | c0_1(Z) | c0_1(X) | c0_1(Y).
% 453228 [binary:452921,452956] c3_1(a368) | hskp24(0) | hskp4(0).
% 453229 [binary:452922,452956] c2_1(a368) | hskp24(0) | hskp4(0).
% 453230 [input:452854,cut:453208] hskp4(0) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | -c0_1(Y) | c2_1(X) | c0_1(X).
% 453232 [binary:452916,453230,factor] -c3_1(a358) | c2_1(a358) | c0_1(a358) | -c3_1(X) | -c2_1(X) | -c0_1(X).
% 453256 [input:452856,cut:453208] hskp9(0) | -c1_1(X) | -c2_1(X) | -c2_1(Y) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 453285 [input:452884,cut:453208] hskp11(0) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 453286 [binary:452921,453285] c3_1(a368) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 453287 [binary:452922,453285] c2_1(a368) | -c1_1(X) | -c3_1(X) | -c2_1(X).
% 453290 [input:452898,cut:453208] hskp0(0) | -c3_1(X) | -c2_1(X) | c0_1(X).
% 453291 [binary:452908,453290] c1_1(a353) | -c3_1(X) | -c2_1(X) | c0_1(X).
% 453307 [input:452861,cut:453208] hskp10(0) | -c1_1(X) | -c3_1(Y) | -c2_1(Y) | c3_1(X) | c2_1(X) | c0_1(Y).
% 453308 [input:452905,cut:453208] hskp17(0) | -c3_1(X) | c2_1(X) | c0_1(X).
% 453309 [binary:452930,453308] c1_1(a380) | -c3_1(X) | c2_1(X) | c0_1(X).
% 453330 [input:452863,cut:453208] hskp5(0) | -c1_1(X) | -c3_1(Y) | -c2_1(X) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 453341 [input:452865,cut:453208] hskp13(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 453342 [binary:452925,453341] c2_1(a370) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 453344 [binary:452926,453341] c0_1(a370) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y).
% 453366 [input:452888,cut:453208] hskp19(0) | hskp24(0) | -c3_1(X) | -c2_1(X) | c1_1(X).
% 453387 [input:452891,cut:453208] hskp21(0) | hskp4(0) | -c3_1(X) | -c2_1(X) | c0_1(X).
% 453390 [input:452869,cut:453208] hskp20(0) | -c1_1(X) | -c3_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X).
% 453392 [binary:452933,453390,factor] c1_1(a388) | c3_1(a388) | c2_1(a388) | -c1_1(X) | -c3_1(X) | c0_1(X).
% 453418 [input:452894,cut:453208] hskp3(0) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X).
% 453419 [binary:452914,453418] c3_1(a357) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X).
% 453421 [binary:452915,453418] c1_1(a357) | hskp19(0) | -c0_1(X) | c1_1(X) | c3_1(X).
% 453423 [input:452872,cut:453208] hskp4(0) | -c1_1(X) | -c1_1(Y) | c3_1(Y) | c2_1(X) | c0_1(X) | c0_1(Y).
% 453424 [binary:452916,453423] c2_1(a358) | -c1_1(X) | -c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 453425 [binary:452916,453423,factor] -c1_1(a358) | c2_1(a358) | c0_1(a358) | -c1_1(X) | c3_1(X) | c0_1(X).
% 453434 [input:452873,cut:453208] hskp10(0) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 453442 [input:452874,cut:453208] hskp0(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 453443 [binary:452908,453442] c1_1(a353) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 453453 [input:452899,cut:453208] hskp19(0) | hskp28(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 453459 [input:452875,cut:453208] hskp12(0) | -c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 453460 [binary:452923,453459] c3_1(a369) | -c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 453464 [binary:452924,453459] c0_1(a369) | -c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 453495 [input:452903,cut:453208] hskp8(0) | hskp11(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 453496 [binary:452918,453495] c2_1(a363) | hskp11(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 453497 [binary:452919,453495] c1_1(a363) | hskp11(0) | -c3_1(X) | c1_1(X) | c0_1(X).
% 453512 [input:452907,cut:453208] hskp3(0) | hskp4(0) | c1_1(X) | c2_1(X) | c0_1(X).
% 453513 [binary:452914,453512] c3_1(a357) | hskp4(0) | c1_1(X) | c2_1(X) | c0_1(X).
% 453514 [binary:452915,453512] c1_1(a357) | hskp4(0) | c1_1(X) | c2_1(X) | c0_1(X).
% 453732 [binary:453392,453216] c3_1(a388) | c2_1(a388) | -c1_1(X) | -c3_1(X) | -c0_1(Y) | c1_1(Y) | c1_1(Z) | c3_1(Z) | c2_1(Y) | c0_1(X) | c0_1(Z).
% 453780 [binary:453514,453217,factor:factor:factor:factor] -c3_1(a357) | c2_1(a357) | hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 453793 [binary:452930,453222] c1_1(a380) | -c1_1(X) | -c1_1(Y) | -c3_1(X) | -c3_1(Y) | -c2_1(X) | c0_1(Y).
% 453794 [binary:452931,453222] c0_1(a380) | -c1_1(X) | -c1_1(Y) | -c3_1(X) | -c3_1(Y) | -c2_1(X) | c0_1(Y).
% 454012 [binary:453217,453443,factor:factor:factor:factor:factor] -c3_1(a353) | c2_1(a353) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454020 [binary:453218,453460,factor:factor:factor:factor:factor:factor:factor] -c0_1(a369) | c2_1(a369) | -c1_1(X) | c1_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454021 [binary:453218,453460,factor:factor:factor:factor:factor:factor:factor:factor] -c0_1(a369) | c2_1(a369) | -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 454132 [binary:453513,453780,factor:factor] c2_1(a357) | hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454188 [binary:453464,454021,factor:factor:factor:factor:factor] c2_1(a369) | -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 454191 [binary:453022,454188] -hskp12(0) | -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 454197 [binary:453459,454191,factor:factor] -c1_1(X) | c1_1(Y) | c3_1(X) | c3_1(Y) | c2_1(X) | c2_1(Y) | c0_1(Y).
% 454199 [binary:453291,454197] c3_1(a353) | c2_1(a353) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454208 [binary:453443,454197,factor:factor] c3_1(a353) | c2_1(a353) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454221 [binary:453464,454020,factor:factor:factor:factor:factor] c2_1(a369) | -c1_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y) | c0_1(X).
% 454224 [binary:453022,454221] -hskp12(0) | -c1_1(X) | c1_1(Y) | c3_1(X) | c2_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454234 [binary:453459,454224,factor:factor] -c1_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c2_1(X) | c0_1(Y) | c0_1(X).
% 454296 [binary:454012,454199,factor:factor:factor:factor:factor] c2_1(a353) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454306 [binary:453043,454296] -hskp0(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454318 [binary:453290,454306,factor] -c1_1(X) | -c3_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454334 [binary:453514,454318,factor:factor] -c3_1(a357) | -c2_1(a357) | c0_1(a357) | hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454354 [binary:453513,454334,factor:factor] -c2_1(a357) | c0_1(a357) | hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454358 [binary:454132,454354,factor:factor] c0_1(a357) | hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454363 [binary:453040,454358] -hskp3(0) | hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454369 [binary:453512,454363,factor] hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454371 [binary:452916,454369] c2_1(a358) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454372 [binary:452916,454369,factor] c1_1(a358) | c3_1(a358) | c2_1(a358) | c0_1(a358).
% 454375 [binary:453425,454372,factor] -c1_1(a358) | c3_1(a358) | c2_1(a358) | c0_1(a358).
% 454380 [binary:454372,454375] c3_1(a358) | c2_1(a358) | c0_1(a358).
% 454382 [binary:453232,454380] c2_1(a358) | c0_1(a358) | -c3_1(X) | -c2_1(X) | -c0_1(X).
% 454389 [binary:453223,454371,factor:factor:factor:factor:factor] c1_1(a358) | c0_1(a358) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454477 [binary:454012,454208,factor:factor:factor:factor] c2_1(a353) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454480 [binary:453043,454477] -hskp0(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454487 [binary:453442,454480,factor:factor] -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454513 [binary:454389,454487,factor:factor] -c2_1(a358) | c0_1(a358) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454528 [binary:454371,454513,factor:factor] c0_1(a358) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454530 [binary:453038,454528] -hskp4(0) | c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454535 [binary:454369,454530,factor] c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 454538 [binary:453010,454535,binarycut:453011,binarycut:453009] -hskp19(0) | c3_1(a387).
% 454540 [binary:453032,454535,binarycut:453034,binarycut:453033] -hskp6(0) | c0_1(a360).
% 454542 [binary:453036,454535,binarycut:453037,binarycut:453035] -hskp5(0) | c2_1(a359).
% 454552 [binary:454234,454535] c1_1(X) | c3_1(Y) | c2_1(Y) | c2_1(X) | c0_1(X) | c0_1(Y).
% 454555 [binary:453453,454538] c3_1(a387) | hskp28(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 454566 [binary:453330,454542,factor] -c3_1(a359) | c2_1(a359) | c0_1(a359) | -c1_1(X) | -c2_1(X) | c3_1(X).
% 454597 [binary:453010,454552,binarycut:453011,binarycut:453009] -hskp19(0) | c3_1(X) | c2_1(X) | c0_1(X).
% 454626 [binary:453453,454597] hskp28(0) | -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 454666 [binary:452944,454626] c3_1(a365) | -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454669 [binary:452945,454626] c2_1(a365) | -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454671 [binary:452946,454626] c1_1(a365) | -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 454704 [binary:453211,454671,factor:factor:factor] -c3_1(a365) | -c2_1(a365) | -c2_1(Y) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c3_1(Z) | c3_1(X) | c2_1(Z) | c0_1(Y) | c0_1(Z).
% 456100 [binary:453008,453732,binarycut:453007] -hskp20(0) | -c1_1(X) | -c3_1(X) | -c0_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Z) | c2_1(Y) | c0_1(Z) | c0_1(X).
% 456156 [binary:453390,456100,factor:factor:factor] -c1_1(X) | -c3_1(X) | -c0_1(Y) | c1_1(Z) | c1_1(Y) | c3_1(Z) | c3_1(Y) | c2_1(Y) | c0_1(Z) | c0_1(X).
% 456167 [binary:453421,456156,factor] -c3_1(a357) | c0_1(a357) | hskp19(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(X) | c3_1(Y) | c2_1(X) | c0_1(Y).
% 456208 [binary:453419,456167,factor] c0_1(a357) | hskp19(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c0_1(Y).
% 456234 [binary:453040,456208] -hskp3(0) | hskp19(0) | -c0_1(X) | c1_1(Y) | c1_1(X) | c3_1(Y) | c3_1(X) | c2_1(X) | c0_1(Y).
% 456239 [binary:453418,456234,factor] hskp19(0) | -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c0_1(Y).
% 456588 [binary:454666,454704,factor:factor:factor:factor:factor:factor] -c2_1(a365) | -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c3_1(X) | c3_1(Y) | c3_1(Z) | c2_1(Z) | c0_1(X) | c0_1(Z).
% 456601 [binary:454669,456588,factor:factor:factor:factor] -c2_1(X) | -c2_1(Y) | -c0_1(X) | c3_1(Z) | c3_1(Y) | c3_1(X) | c2_1(Z) | c0_1(Y) | c0_1(Z).
% 456633 [binary:453342,456601,factor:factor:factor:factor] -c0_1(a370) | c3_1(a370) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c2_1(X) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c0_1(Z) | c0_1(Y).
% 458359 [binary:453344,456633,factor:factor:factor:factor] c3_1(a370) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c2_1(X) | c3_1(Z) | c3_1(Y) | c2_1(Z) | c0_1(Y) | c0_1(Z).
% 458362 [binary:453021,458359] -hskp13(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c3_1(Y) | c3_1(Z) | c2_1(Z) | c0_1(Z) | c0_1(Y).
% 458366 [binary:453341,458362,factor:factor:factor] -c1_1(X) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c3_1(Y) | c3_1(Z) | c2_1(Z) | c0_1(Y) | c0_1(Z).
% 458422 [binary:454671,458366,factor:factor:factor:factor] -c3_1(a365) | -c2_1(a365) | -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 458455 [binary:454666,458422,factor:factor:factor:factor] -c2_1(a365) | -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 458471 [binary:454669,458455,factor:factor:factor] -c2_1(X) | c3_1(X) | c3_1(Y) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 458495 [binary:453424,458471,factor:factor:factor:factor:factor:factor:factor:factor] c3_1(a358) | c0_1(a358) | -c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 458551 [binary:453039,458495,binarycut:453038] -hskp4(0) | -c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 458558 [binary:453423,458551,factor:factor] -c1_1(X) | c3_1(X) | c2_1(X) | c0_1(X).
% 458570 [binary:454535,458558] c3_1(X) | c2_1(X) | c0_1(X).
% 458574 [binary:453002,458570,binarycut:453001] -hskp24(0) | c2_1(a399).
% 458578 [binary:453026,458570,binarycut:453025,binarycut:453024] -hskp10(0).
% 458593 [binary:454566,458570] c2_1(a359) | c0_1(a359) | -c1_1(X) | -c2_1(X) | c3_1(X).
% 458648 [binary:453307,458578] -c1_1(X) | -c3_1(Y) | -c2_1(Y) | c3_1(X) | c2_1(X) | c0_1(Y).
% 458651 [binary:453434,458578] -c3_1(X) | -c2_1(Y) | c1_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 458762 [binary:453309,458648] c3_1(a380) | c2_1(a380) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | c2_1(X) | c0_1(X) | c0_1(Y).
% 458771 [binary:453793,458648,factor:factor:factor] c3_1(a380) | c2_1(a380) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c0_1(X).
% 458800 [binary:454555,458651,factor:factor] c1_1(a387) | c0_1(a387) | hskp28(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 458831 [binary:458570,458651] -c2_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 458858 [binary:454382,458831] c3_1(a358) | c0_1(a358) | -c3_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y) | c0_1(Y).
% 458894 [binary:458593,458831] c3_1(a359) | c0_1(a359) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 458917 [binary:453014,458771] -hskp17(0) | c2_1(a380) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c0_1(X).
% 458928 [binary:453222,458917,factor:factor] c2_1(a380) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c0_1(X).
% 458986 [binary:453010,458800,binarycut:453009] -hskp19(0) | hskp28(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 459004 [binary:453453,458986,factor] hskp28(0) | -c2_1(X) | c3_1(X) | c0_1(X).
% 459007 [binary:452944,459004] c3_1(a365) | -c2_1(X) | c3_1(X) | c0_1(X).
% 459008 [binary:452944,459004,factor] -c2_1(a365) | c3_1(a365) | c0_1(a365).
% 459009 [binary:452945,459004] c2_1(a365) | -c2_1(X) | c3_1(X) | c0_1(X).
% 459010 [binary:452946,459004] c1_1(a365) | -c2_1(X) | c3_1(X) | c0_1(X).
% 459031 [binary:453211,459010,factor:factor] -c3_1(a365) | -c2_1(a365) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 459311 [binary:453014,458762] -hskp17(0) | c2_1(a380) | -c3_1(X) | -c3_1(Y) | -c2_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 459409 [binary:453039,458858,binarycut:453038] -hskp4(0) | -c3_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y) | c0_1(Y).
% 459415 [binary:453230,459409,factor:factor] -c3_1(Y) | -c3_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y) | c0_1(Y).
% 459434 [binary:458570,459415] -c3_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c2_1(Y) | c0_1(Y).
% 459712 [binary:453037,458894,binarycut:453035] -hskp5(0) | -c1_1(X) | -c2_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 459719 [binary:453330,459712,factor:factor] -c1_1(X) | -c3_1(Y) | -c2_1(X) | c1_1(Y) | c3_1(X) | c2_1(Y) | c0_1(Y).
% 459724 [binary:453309,459719,factor] -c2_1(a380) | c3_1(a380) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459735 [binary:453497,459719,factor] -c2_1(a363) | c3_1(a363) | hskp11(0) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459792 [binary:453496,459735,factor] c3_1(a363) | hskp11(0) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459794 [binary:453029,459792] -hskp8(0) | hskp11(0) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459806 [binary:453495,459794,factor] hskp11(0) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459808 [binary:452921,459806] c3_1(a368) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459809 [binary:452922,459806] c2_1(a368) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459825 [binary:459434,459808,factor] -c2_1(a368) | -c0_1(a368) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459846 [binary:459809,459825,factor] -c0_1(a368) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 459864 [binary:459007,459031,factor:factor:factor] -c2_1(a365) | -c2_1(X) | -c2_1(Y) | -c0_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 459873 [binary:459009,459864,factor] -c2_1(Y) | -c2_1(X) | -c0_1(Y) | c3_1(X) | c3_1(Y) | c0_1(X).
% 459942 [binary:453308,459311,factor:factor] c2_1(a380) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | c2_1(X) | c0_1(Y) | c0_1(X).
% 459951 [binary:459724,459942,factor] c3_1(a380) | -c3_1(Y) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c2_1(X) | c0_1(X) | c0_1(Y).
% 460019 [binary:453014,459951] -hskp17(0) | -c3_1(Y) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c2_1(X) | c0_1(Y) | c0_1(X).
% 460031 [binary:453308,460019,factor:factor] -c3_1(Y) | -c3_1(X) | -c2_1(Y) | c1_1(X) | c2_1(X) | c0_1(Y) | c0_1(X).
% 460078 [binary:459808,460031,factor:factor] -c2_1(a368) | c0_1(a368) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 460093 [binary:459809,460078,factor:factor] c0_1(a368) | -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 460126 [binary:459846,460093,factor] -c3_1(X) | c1_1(X) | c2_1(X) | c0_1(X).
% 460144 [binary:458570,460126] c1_1(X) | c2_1(X) | c0_1(X).
% 460147 [binary:453010,460144,binarycut:453011,binarycut:453009] -hskp19(0).
% 460161 [binary:453215,460144,factor] -c1_1(Y) | -c1_1(X) | -c3_1(Y) | -c2_1(X) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 460166 [binary:453366,460147] hskp24(0) | -c3_1(X) | -c2_1(X) | c1_1(X).
% 460168 [binary:456239,460147] -c0_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y) | c3_1(X) | c2_1(X) | c0_1(Y).
% 460182 [binary:452939,460166] c1_1(a399) | -c3_1(X) | -c2_1(X) | c1_1(X).
% 460184 [binary:458574,460166] c2_1(a399) | -c3_1(X) | -c2_1(X) | c1_1(X).
% 460193 [binary:453213,460182,factor:factor] -c2_1(a399) | c3_1(a399) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y).
% 460261 [binary:460144,460161] -c1_1(X) | -c3_1(Y) | -c2_1(X) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 460314 [binary:460182,460261] -c2_1(a399) | c0_1(a399) | -c3_1(X) | -c3_1(Y) | -c2_1(X) | c1_1(X) | c2_1(Y) | c0_1(Y).
% 460443 [binary:460184,460193,factor] c3_1(a399) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y).
% 460445 [binary:453002,460443] -hskp24(0) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c1_1(X) | c1_1(Y) | c3_1(Y).
% 460461 [binary:460166,460445,factor] -c3_1(X) | -c2_1(Y) | -c2_1(X) | c1_1(X) | c1_1(Y) | c3_1(Y).
% 460470 [binary:453286,460461] -c2_1(a368) | c1_1(a368) | -c1_1(X) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c1_1(Y) | c3_1(Y).
% 460589 [binary:460184,460314,factor:factor] c0_1(a399) | -c3_1(X) | -c3_1(Y) | -c2_1(X) | c1_1(X) | c2_1(Y) | c0_1(Y).
% 460591 [binary:453001,460589] -hskp24(0) | -c3_1(X) | -c3_1(Y) | -c2_1(Y) | c1_1(Y) | c2_1(X) | c0_1(X).
% 460599 [binary:460166,460591,factor:factor] -c3_1(Y) | -c3_1(X) | -c2_1(X) | c1_1(X) | c2_1(Y) | c0_1(Y).
% 460614 [binary:458570,460599] -c3_1(X) | -c2_1(X) | c1_1(X) | c2_1(Y) | c0_1(Y).
% 460616 [binary:453228,460614] -c2_1(a368) | c1_1(a368) | hskp24(0) | hskp4(0) | c2_1(X) | c0_1(X).
% 460620 [binary:453286,460614] -c2_1(a368) | c1_1(a368) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c2_1(Y) | c0_1(Y).
% 460644 [binary:453229,460616] c1_1(a368) | hskp24(0) | hskp4(0) | c2_1(X) | c0_1(X).
% 460646 [binary:453023,460644] -hskp11(0) | hskp24(0) | hskp4(0) | c2_1(X) | c0_1(X).
% 460664 [binary:452956,460646] hskp24(0) | hskp4(0) | c2_1(X) | c0_1(X).
% 460666 [binary:452939,460664] c1_1(a399) | hskp4(0) | c2_1(X) | c0_1(X).
% 460668 [binary:458574,460664,factor] c2_1(a399) | c0_1(a399) | hskp4(0).
% 460685 [binary:460261,460666,factor:factor] -c2_1(a399) | c0_1(a399) | hskp4(0) | -c3_1(X) | c2_1(X) | c0_1(X).
% 460691 [binary:460668,460685] c0_1(a399) | hskp4(0) | -c3_1(X) | c2_1(X) | c0_1(X).
% 460694 [binary:453001,460691] -hskp24(0) | hskp4(0) | -c3_1(X) | c2_1(X) | c0_1(X).
% 460697 [binary:460664,460694,factor] hskp4(0) | -c3_1(X) | c2_1(X) | c0_1(X).
% 460700 [binary:452916,460697,factor] -c3_1(a358) | c2_1(a358) | c0_1(a358).
% 460702 [binary:458570,460700] c2_1(a358) | c0_1(a358).
% 460766 [binary:453287,460620,factor] c1_1(a368) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c2_1(Y) | c0_1(Y).
% 460768 [binary:453023,460766] -hskp11(0) | -c1_1(X) | -c3_1(X) | -c2_1(X) | c2_1(Y) | c0_1(Y).
% 460789 [binary:453285,460768,factor] -c1_1(X) | -c3_1(X) | -c2_1(X) | c2_1(Y) | c0_1(Y).
% 460834 [binary:459010,460789] -c3_1(a365) | -c2_1(a365) | -c2_1(X) | c3_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 460888 [binary:459007,460834,factor:factor] -c2_1(a365) | -c2_1(X) | c3_1(X) | c2_1(Y) | c0_1(X) | c0_1(Y).
% 460897 [binary:459009,460888,factor] -c2_1(X) | c3_1(X) | c2_1(Y) | c0_1(Y) | c0_1(X).
% 460992 [binary:460702,460897] c3_1(a358) | c0_1(a358) | c2_1(X) | c0_1(X).
% 461010 [binary:453039,460992,binarycut:453038] -hskp4(0) | c2_1(X) | c0_1(X).
% 461024 [binary:460697,461010,factor] -c3_1(X) | c2_1(X) | c0_1(X).
% 461031 [binary:458570,461024] c2_1(X) | c0_1(X).
% 461035 [binary:453006,461031,binarycut:453005] -hskp21(0).
% 461037 [binary:453013,461031,binarycut:453012] -hskp18(0).
% 461042 [binary:459008,461031] c3_1(a365) | c0_1(a365).
% 461047 [binary:453387,461035,binarycut:461031] hskp4(0) | -c3_1(X) | c0_1(X).
% 461048 [binary:452957,461037,cut:461035] hskp6(0).
% 461050 [binary:454540,461048] c0_1(a360).
% 461051 [binary:460168,461050] c1_1(a360) | c3_1(a360) | c2_1(a360) | c1_1(X) | c3_1(X) | c0_1(X).
% 461115 [binary:453032,461051,cut:461048] c3_1(a360) | c2_1(a360) | c1_1(X) | c3_1(X) | c0_1(X).
% 461117 [binary:453034,461115,cut:461048] c2_1(a360) | c1_1(X) | c3_1(X) | c0_1(X).
% 461119 [binary:453033,461117,cut:461048] c1_1(X) | c3_1(X) | c0_1(X).
% 461124 [binary:453028,461119,binarycut:453027] -hskp9(0) | c3_1(a364).
% 461138 [binary:453256,461124,binarycut:461031] c3_1(a364) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c0_1(Y).
% 461175 [binary:458651,461138,binarycut:461031,factor] c1_1(a364) | c0_1(a364) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c0_1(Y).
% 461268 [binary:453028,461175,binarycut:453027] -hskp9(0) | -c1_1(X) | -c2_1(X) | -c0_1(X) | c3_1(Y) | c0_1(Y).
% 461275 [binary:453256,461268,binarycut:461031,factor] -c1_1(X) | -c2_1(X) | -c0_1(X) | c1_1(Y) | c3_1(Z) | c0_1(Y) | c0_1(Z).
% 461333 [binary:459010,461275,binarycut:461031,factor] -c2_1(a365) | -c0_1(a365) | c1_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 461351 [binary:459009,461333,binarycut:461031,factor] -c0_1(a365) | c1_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 461486 [binary:453287,460470,factor] c1_1(a368) | -c1_1(X) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c1_1(Y) | c3_1(Y).
% 461488 [binary:453023,461486] -hskp11(0) | -c1_1(X) | -c3_1(X) | -c2_1(Y) | -c2_1(X) | c1_1(Y) | c3_1(Y).
% 461512 [binary:453285,461488,factor] -c1_1(X) | -c3_1(X) | -c2_1(X) | -c2_1(Y) | c1_1(Y) | c3_1(Y).
% 461552 [binary:459010,461512,binarycut:461031] -c3_1(a365) | -c2_1(a365) | -c2_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 461691 [binary:459007,461552,binarycut:461031,factor:factor] -c2_1(a365) | -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 461703 [binary:459009,461691,binarycut:461031,factor:factor] -c2_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 461720 [binary:458928,461703,binarycut:461031] c1_1(a380) | c3_1(a380) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 461766 [binary:458648,461720,binarycut:461031,factor:factor] c3_1(a380) | c2_1(a380) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 461777 [binary:453014,461766] -hskp17(0) | c2_1(a380) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 461789 [binary:453222,461777,factor:binarycut:461031,factor] c2_1(a380) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 461793 [binary:459873,461789,binarycut:461031,factor:factor] -c0_1(a380) | c3_1(a380) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 461798 [binary:453794,461793,factor:factor:binarycut:461031] c3_1(a380) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 461800 [binary:453014,461798] -hskp17(0) | -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 461810 [binary:453222,461800,factor:binarycut:461031,factor] -c1_1(X) | -c3_1(X) | c3_1(Y) | c0_1(Y) | c0_1(X).
% 461844 [binary:459010,461810,binarycut:461042,binarycut:461031,factor:factor] c0_1(a365) | c3_1(X) | c0_1(X).
% 461858 [binary:461351,461844,factor] c1_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 461874 [binary:461810,461858,factor] -c3_1(X) | c3_1(Y) | c0_1(X) | c0_1(Y).
% 461881 [binary:453419,461874,cut:460147] c0_1(a357) | -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 461914 [binary:453040,461881] -hskp3(0) | -c0_1(X) | c1_1(X) | c3_1(Y) | c3_1(X) | c0_1(Y).
% 461925 [binary:453418,461914,cut:460147,factor] -c0_1(X) | c1_1(X) | c3_1(X) | c3_1(Y) | c0_1(Y).
% 461929 [binary:461050,461925] c1_1(a360) | c3_1(a360) | c3_1(X) | c0_1(X).
% 461949 [binary:453032,461929,cut:461048] c3_1(a360) | c3_1(X) | c0_1(X).
% 461951 [binary:453034,461949,cut:461048] c3_1(X) | c0_1(X).
% 461957 [binary:453039,461951,binarycut:453038] -hskp4(0).
% 461983 [binary:461047,461957,binarycut:461951] c0_1(X).
% 461988 [binary:453040,461983] -hskp3(0).
% 461997 [binary:453418,461988,cut:460147,cut:461983] c1_1(X) | c3_1(X).
% 462004 [binary:453032,461997,cut:461048] c3_1(a360).
% 462011 [binary:453034,462004,cut:461048] 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: 22776
% derived clauses: 1370635
% kept clauses: 249631
% kept size sum: 845486
% kept mid-nuclei: 125166
% kept new demods: 0
% forw unit-subs: 5
% forw double-subs: 106009
% forw overdouble-subs: 695976
% backward subs: 6147
% fast unit cutoff: 17685
% full unit cutoff: 0
% dbl unit cutoff: 14732
% real runtime: 257.95
% process. runtime: 256.51
% specific non-discr-tree subsumption statistics:
% tried: 113861381
% length fails: 656572
% strength fails: 45024615
% predlist fails: 55350746
% aux str. fails: 1552043
% by-lit fails: 7751690
% full subs tried: 1384835
% full subs fail: 1306318
%
% ; 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/SYN504-1+noeq.in")
%
%------------------------------------------------------------------------------