TSTP Solution File: SYN447-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SYN447-1 : 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 : art02.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 119.5s
% Output   : Assurance 119.5s
% 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/SYN447-1+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)
% 
% 
% SOS clause 
% -c0_1(X) | -c0_1(Y) | -c1_1(X) | -c3_1(Y) | -c2_1(Y) | -ndr1_0(0) | -c2_1(X).
% was split for some strategies as: 
% -c0_1(Y) | -c3_1(Y) | -c2_1(Y).
% -c0_1(X) | -c1_1(X) | -c2_1(X).
% -ndr1_0(0).
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(316,40,1,635,0,1,56933,4,1475,60559,5,1502,60560,1,1502,60560,50,1502,60560,40,1502,60879,0,1502,61220,50,1503,61539,0,1503,61880,50,1504,62199,0,1504,62540,50,1505,62859,0,1506,63200,50,1507,63519,0,1508,63860,50,1509,64179,0,1509,64520,50,1510,64839,0,1510,65180,50,1511,65499,0,1512,65840,50,1513,66159,0,1513,66500,50,1514,66819,0,1515,67160,50,1516,67479,0,1517,67820,50,1518,68139,0,1518,68480,50,1519,68799,0,1520,69140,50,1521,69459,0,1521,69800,50,1522,70119,0,1523,70460,50,1524,70779,0,1524,71120,50,1525,71439,0,1526,71780,50,1527,72099,0,1528,72440,50,1529,72759,0,1530,73100,50,1531,73419,0,1531,73760,50,1533,74079,0,1533,74420,50,1534,74420,40,1534,74739,0,1535,88238,3,1986,90361,4,2211,91561,5,2436,91562,5,2436,91562,1,2436,91562,50,2436,91562,40,2436,91881,0,2436,138332,3,4693,139683,4,5812,140931,5,6937,140932,1,6937,140932,50,6938,140932,40,6938,141251,0,6939,172353,3,7695,172844,4,8065,174925,5,8440,174926,1,8440,174926,50,8441,174926,40,8441,175245,0,8441,216225,3,9792,217013,4,10467,217720,5,11142,217721,1,11143,217721,50,11144,217721,40,11144,218040,0,11144,253879,3,11912,254296,4,12270,256166,5,12645,256167,1,12645,256167,50,12646,256167,40,12646,256486,0,12646,256827,50,12647,256827,40,12647,257146,0,12651)
% 
% 
% START OF PROOF
% 256829 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | c0_1(Y) | c0_1(Z) | c2_1(Z) | c3_1(X) | c1_1(X) | c1_1(Z).
% 256830 [] -ndr1_0(0) | -c1_1(Y) | -c1_1(X) | c0_1(Y) | c0_1(Z) | c2_1(Y) | c2_1(X) | c3_1(Z) | c3_1(X) | c1_1(Z).
% 256831 [] -ndr1_0(0) | -c0_1(X) | -c2_1(Y) | c0_1(Y) | c2_1(Z) | c3_1(X) | c3_1(Z) | c1_1(Y) | c1_1(X) | c1_1(Z).
% 256832 [] -ndr1_0(0) | -c2_1(Y) | -c2_1(X) | c0_1(Z) | c0_1(Y) | c3_1(Z) | c3_1(X) | c1_1(Z) | c1_1(Y) | c1_1(X).
% 256834 [] -ndr1_0(0) | hskp53(0) | -c0_1(X) | -c2_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | c1_1(Y).
% 256838 [] -ndr1_0(0) | hskp25(0) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c0_1(Y) | c2_1(Y).
% 256839 [] -ndr1_0(0) | hskp57(0) | -c0_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c1_1(Y).
% 256840 [] -ndr1_0(0) | hskp47(0) | -c0_1(X) | -c0_1(Y) | -c2_1(X) | -c2_1(Y) | c3_1(Y) | c1_1(X).
% 256842 [] -ndr1_0(0) | hskp38(0) | -c0_1(X) | -c0_1(Y) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c1_1(Y).
% 256845 [] -ndr1_0(0) | hskp35(0) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y).
% 256852 [] -ndr1_0(0) | hskp24(0) | -c3_1(X) | -c1_1(X) | c0_1(X) | c0_1(Y) | c3_1(Y) | c1_1(Y).
% 256854 [] -ndr1_0(0) | hskp34(0) | -c0_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(X).
% 256855 [] -ndr1_0(0) | hskp1(0) | -c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 256856 [] -ndr1_0(0) | hskp9(0) | -c3_1(X) | c0_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 256857 [] -ndr1_0(0) | hskp35(0) | -c3_1(X) | c0_1(Y) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 256862 [] -ndr1_0(0) | hskp22(0) | hskp56(0) | -c3_1(X) | -c1_1(X) | c2_1(X).
% 256869 [?] ?
% 256874 [?] ?
% 256877 [?] ?
% 256880 [?] ?
% 256881 [?] ?
% 256882 [] -hskp0(0) | c0_1(a1020).
% 256883 [] -hskp1(0) | c2_1(a1023).
% 256892 [] -hskp9(0) | c2_1(a1038).
% 256893 [] -hskp10(0) | c1_1(a1039).
% 256898 [] -hskp15(0) | c2_1(a1059).
% 256899 [] -hskp15(0) | c3_1(a1059).
% 256902 [] -hskp17(0) | c3_1(a1077).
% 256903 [] -hskp18(0) | c0_1(a1078).
% 256904 [] -hskp18(0) | c2_1(a1078).
% 256905 [] -hskp19(0) | c1_1(a1079).
% 256907 [] -hskp22(0) | c2_1(a1083).
% 256910 [] -hskp24(0) | c0_1(a1089).
% 256916 [] -hskp30(0) | c1_1(a1022).
% 256917 [] -hskp30(0) | c3_1(a1022).
% 256922 [] -hskp33(0) | c2_1(a1031).
% 256923 [] -hskp33(0) | c3_1(a1031).
% 256924 [] -hskp34(0) | c3_1(a1032).
% 256925 [] -hskp35(0) | c3_1(a1033).
% 256927 [] -hskp35(0) | c0_1(a1033).
% 256931 [] -hskp37(0) | c0_1(a1037).
% 256932 [] -hskp38(0) | c2_1(a1040).
% 256933 [] -hskp38(0) | c3_1(a1040).
% 256934 [] -hskp38(0) | c1_1(a1040).
% 256935 [] -hskp39(0) | c2_1(a1042).
% 256936 [] -hskp39(0) | c0_1(a1042).
% 256945 [] -hskp44(0) | c0_1(a1051).
% 256946 [] -hskp44(0) | c1_1(a1051).
% 256947 [] -hskp45(0) | c2_1(a1052).
% 256948 [] -hskp45(0) | c3_1(a1052).
% 256949 [] -hskp45(0) | c0_1(a1052).
% 256951 [] -hskp47(0) | c3_1(a1056).
% 256952 [] -hskp47(0) | c1_1(a1056).
% 256953 [] -hskp47(0) | c2_1(a1056).
% 256965 [] -hskp53(0) | c0_1(a1073).
% 256966 [] -hskp53(0) | c2_1(a1073).
% 256967 [] -hskp53(0) | c1_1(a1073).
% 256974 [] -hskp57(0) | c3_1(a1085).
% 256975 [] -hskp57(0) | c0_1(a1085).
% 256976 [] -hskp57(0) | c2_1(a1085).
% 256988 [] hskp56(0) | hskp62(0) | hskp63(0).
% 256990 [] hskp17(0) | hskp18(0) | hskp39(0).
% 256992 [] hskp0(0) | hskp29(0) | hskp30(0).
% 257049 [] -hskp56(0) | ndr1_0(0).
% 257055 [] -hskp62(0) | ndr1_0(0).
% 257056 [] -hskp63(0) | ndr1_0(0).
% 257057 [] -ndr1_0(0) | -c0_1(X) | -c0_1(Y) | -c2_1(Y) | -c2_1(X) | -c3_1(X) | -c1_1(Y).
% 257058 [] -c2_1(a1020) | -hskp0(0).
% 257059 [] -c1_1(a1020) | -hskp0(0).
% 257060 [] -c0_1(a1023) | -hskp1(0).
% 257061 [] -c1_1(a1023) | -hskp1(0).
% 257073 [] -c1_1(a1036) | -hskp8(0).
% 257074 [] -c3_1(a1036) | -hskp8(0).
% 257075 [] -c0_1(a1038) | -hskp9(0).
% 257076 [] -c1_1(a1038) | -hskp9(0).
% 257077 [] -c0_1(a1039) | -hskp10(0).
% 257078 [] -c2_1(a1039) | -hskp10(0).
% 257087 [] -c1_1(a1059) | -hskp15(0).
% 257089 [] -c2_1(a1077) | -hskp17(0).
% 257090 [] -c0_1(a1077) | -hskp17(0).
% 257091 [] -c1_1(a1078) | -hskp18(0).
% 257092 [] -c2_1(a1079) | -hskp19(0).
% 257093 [] -c0_1(a1079) | -hskp19(0).
% 257094 [] -c1_1(a1080) | -hskp20(0).
% 257095 [] -c2_1(a1080) | -hskp20(0).
% 257096 [] -c0_1(a1080) | -hskp20(0).
% 257100 [] -c1_1(a1083) | -hskp22(0).
% 257102 [] -c1_1(a1089) | -hskp24(0).
% 257103 [] -c2_1(a1089) | -hskp24(0).
% 257104 [] -c2_1(a1091) | -hskp25(0).
% 257105 [] -c0_1(a1091) | -hskp25(0).
% 257106 [] -c3_1(a1091) | -hskp25(0).
% 257112 [] -c3_1(a1021) | -hskp29(0).
% 257113 [] -c1_1(a1021) | -hskp29(0).
% 257114 [] -c2_1(a1022) | -hskp30(0).
% 257117 [] -c1_1(a1031) | -hskp33(0).
% 257118 [] -c1_1(a1032) | -hskp34(0).
% 257119 [] -c2_1(a1032) | -hskp34(0).
% 257121 [] -c1_1(a1037) | -hskp37(0).
% 257122 [] -c1_1(a1042) | -hskp39(0).
% 257127 [] -c2_1(a1051) | -hskp44(0).
% 257135 [] -c1_1(a1084) | -hskp56(0).
% 257136 [] -c3_1(a1084) | -hskp56(0).
% 257464 [binary:257049,256988,binarycut:257055,binarycut:257056] ndr1_0(0).
% 257465 [binary:257057,257464] -c0_1(Y) | -c0_1(X) | -c2_1(X) | -c2_1(Y) | -c3_1(X) | -c1_1(Y).
% 257468 [binary:256829,257464] -c2_1(X) | -c2_1(Y) | -c3_1(X) | c0_1(Z) | c0_1(X) | c2_1(Z) | c3_1(Y) | c1_1(Y) | c1_1(Z).
% 257469 [binary:256830,257464] -c1_1(X) | -c1_1(Y) | c0_1(X) | c0_1(Z) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(Z) | c1_1(Z).
% 257473 [binary:256834,257464] hskp53(0) | -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c1_1(Y).
% 257477 [binary:256838,257464] hskp25(0) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | -c1_1(X) | c0_1(Y) | c2_1(Y).
% 257478 [binary:256839,257464] hskp57(0) | -c0_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c1_1(Y).
% 257484 [binary:256845,257464] hskp35(0) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y).
% 257491 [binary:256852,257464] hskp24(0) | -c3_1(X) | -c1_1(X) | c0_1(X) | c0_1(Y) | c3_1(Y) | c1_1(Y).
% 257493 [binary:256854,257464] hskp34(0) | -c0_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y) | c1_1(X).
% 257494 [binary:256855,257464] hskp1(0) | -c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 257495 [binary:256856,257464] hskp9(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 257496 [binary:256857,257464] hskp35(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 257501 [binary:256862,257464] hskp22(0) | hskp56(0) | -c3_1(X) | -c1_1(X) | c2_1(X).
% 257511 [binary:256902,256990] c3_1(a1077) | hskp18(0) | hskp39(0).
% 257518 [binary:256882,256992] c0_1(a1020) | hskp29(0) | hskp30(0).
% 257531 [input:256869,cut:257464] hskp8(0) | hskp37(0) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 257536 [input:257057,factor:cut:257464] -c0_1(X) | -c2_1(X) | -c3_1(X) | -c1_1(X).
% 257539 [input:256832,factor:factor:factor:factor:cut:257464] -c2_1(X) | c0_1(X) | c3_1(X) | c1_1(X).
% 257540 [input:256881,cut:257464] hskp10(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 257541 [binary:256893,257540] c1_1(a1039) | c0_1(X) | c2_1(X) | c3_1(X).
% 257557 [binary:256907,257501] c2_1(a1083) | hskp56(0) | -c3_1(X) | -c1_1(X) | c2_1(X).
% 257585 [input:256874,cut:257464] hskp19(0) | hskp20(0) | -c0_1(X) | c3_1(X) | c1_1(X).
% 257586 [binary:256905,257585] c1_1(a1079) | hskp20(0) | -c0_1(X) | c3_1(X) | c1_1(X).
% 257618 [input:256877,cut:257464] hskp15(0) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 257619 [binary:256898,257618] c2_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 257621 [binary:256899,257618] c3_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 257647 [input:256880,cut:257464] hskp44(0) | hskp45(0) | c2_1(X) | c3_1(X) | c1_1(X).
% 257648 [binary:256945,257647] c0_1(a1051) | hskp45(0) | c2_1(X) | c3_1(X) | c1_1(X).
% 257649 [binary:256946,257647] c1_1(a1051) | hskp45(0) | c2_1(X) | c3_1(X) | c1_1(X).
% 257657 [input:256830,factor:cut:257464] -c1_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 257659 [binary:257541,257657,factor] c0_1(a1039) | c2_1(a1039) | c3_1(a1039) | c0_1(X) | c3_1(X) | c1_1(X).
% 257673 [input:256831,factor:cut:257464] -c0_1(X) | -c2_1(Y) | c0_1(Y) | c2_1(X) | c3_1(X) | c1_1(Y) | c1_1(X).
% 257685 [input:256834,factor:cut:257464] hskp53(0) | -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257686 [binary:256965,257685] c0_1(a1073) | -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257687 [binary:256966,257685] c2_1(a1073) | -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257688 [binary:256967,257685] c1_1(a1073) | -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257699 [binary:257465,257686,factor:factor] -c2_1(a1073) | -c1_1(a1073) | -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257700 [input:256840,factor:cut:257464] hskp47(0) | -c0_1(X) | -c2_1(X) | c3_1(X) | c1_1(X).
% 257701 [binary:256951,257700] c3_1(a1056) | -c0_1(X) | -c2_1(X) | c3_1(X) | c1_1(X).
% 257703 [binary:256952,257700] c1_1(a1056) | -c0_1(X) | -c2_1(X) | c3_1(X) | c1_1(X).
% 257705 [binary:256953,257700] c2_1(a1056) | -c0_1(X) | -c2_1(X) | c3_1(X) | c1_1(X).
% 257711 [input:256842,factor:cut:257464] hskp38(0) | -c0_1(X) | -c3_1(X) | c2_1(X) | c1_1(X).
% 257712 [binary:256932,257711] c2_1(a1040) | -c0_1(X) | -c3_1(X) | c2_1(X) | c1_1(X).
% 257714 [binary:256933,257711] c3_1(a1040) | -c0_1(X) | -c3_1(X) | c2_1(X) | c1_1(X).
% 257715 [binary:256934,257711] c1_1(a1040) | -c0_1(X) | -c3_1(X) | c2_1(X) | c1_1(X).
% 257728 [binary:257687,257699,factor] -c1_1(a1073) | -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257731 [binary:257688,257728,factor] -c0_1(X) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 257757 [binary:257077,257659,binarycut:257078] -hskp10(0) | c3_1(a1039) | c0_1(X) | c3_1(X) | c1_1(X).
% 257766 [binary:257540,257757,factor:factor] c3_1(a1039) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 257778 [binary:257705,257468,factor] -c3_1(a1056) | c0_1(a1056) | -c0_1(X) | -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X).
% 257785 [binary:256965,257473] c0_1(a1073) | -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c1_1(Y).
% 257786 [binary:256966,257473] c2_1(a1073) | -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c1_1(Y).
% 257787 [binary:256967,257473] c1_1(a1073) | -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c1_1(Y).
% 257798 [binary:257541,257469,factor:factor:factor] c0_1(a1039) | c2_1(a1039) | -c1_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(X) | c3_1(Y) | c1_1(Y).
% 257835 [binary:256974,257478] c3_1(a1085) | -c0_1(X) | -c2_1(Y) | -c3_1(Y) | -c3_1(X) | c2_1(X) | c1_1(Y).
% 257836 [binary:256975,257478] c0_1(a1085) | -c0_1(X) | -c2_1(Y) | -c3_1(Y) | -c3_1(X) | c2_1(X) | c1_1(Y).
% 257837 [binary:256976,257478] c2_1(a1085) | -c0_1(X) | -c2_1(Y) | -c3_1(Y) | -c3_1(X) | c2_1(X) | c1_1(Y).
% 257870 [binary:256925,257484] c3_1(a1033) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y).
% 257873 [binary:256927,257484] c0_1(a1033) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y).
% 257910 [binary:256910,257491] c0_1(a1089) | -c3_1(X) | -c1_1(X) | c0_1(Y) | c0_1(X) | c3_1(Y) | c1_1(Y).
% 257923 [binary:256924,257493] c3_1(a1032) | -c0_1(X) | -c1_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y) | c1_1(X).
% 257933 [binary:256883,257494] c2_1(a1023) | -c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 257943 [binary:256892,257495] c2_1(a1038) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 257950 [binary:256925,257496] c3_1(a1033) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 257953 [binary:256927,257496] c0_1(a1033) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 257968 [binary:257465,257785,factor:factor:factor] -c2_1(a1073) | -c1_1(a1073) | -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | c1_1(Y).
% 258133 [binary:257539,257933] c0_1(a1023) | c3_1(a1023) | c1_1(a1023) | -c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258144 [binary:257539,257943] c0_1(a1038) | c3_1(a1038) | c1_1(a1038) | -c3_1(X) | c0_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258226 [binary:257786,257968,factor:factor:factor] -c1_1(a1073) | -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(X) | -c3_1(Y) | c1_1(Y).
% 258234 [binary:257787,258226,factor:factor] -c0_1(X) | -c2_1(Y) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c1_1(Y).
% 258257 [binary:257836,258234,factor:factor:factor:factor] -c2_1(a1085) | -c3_1(a1085) | -c0_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c1_1(Y).
% 258264 [binary:257873,258234,factor:factor:factor] -c2_1(a1033) | -c3_1(a1033) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258273 [binary:257953,258234] -c2_1(a1033) | -c3_1(a1033) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c0_1(Y) | c0_1(Z) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X).
% 258318 [binary:257837,258257,factor:factor:factor:factor:factor] -c3_1(a1085) | -c0_1(X) | -c2_1(Y) | -c3_1(X) | -c3_1(Y) | c2_1(X) | c1_1(Y).
% 258323 [binary:257835,258318,factor:factor] -c0_1(X) | -c2_1(Y) | -c3_1(Y) | -c3_1(X) | c2_1(X) | c1_1(Y).
% 258326 [binary:257518,258323] -c3_1(a1020) | c2_1(a1020) | hskp29(0) | hskp30(0) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 258336 [binary:257648,258323] -c3_1(a1051) | c2_1(a1051) | hskp45(0) | -c2_1(X) | -c3_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 258342 [binary:257873,258323,factor:factor:factor] -c3_1(a1033) | c2_1(a1033) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258351 [binary:257953,258323] -c3_1(a1033) | c2_1(a1033) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c0_1(Y) | c0_1(Z) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X).
% 258429 [binary:257701,257778,factor] c0_1(a1056) | -c0_1(X) | -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y).
% 258432 [binary:257536,258429] -c2_1(a1056) | -c3_1(a1056) | -c1_1(a1056) | -c0_1(X) | -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y).
% 258456 [binary:257077,257798,binarycut:257078] -hskp10(0) | -c1_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 258460 [binary:257540,258456,factor] -c1_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(Y).
% 258468 [binary:257649,258460,factor:factor:factor] c2_1(a1051) | c3_1(a1051) | hskp45(0) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 258477 [binary:257127,258468] -hskp44(0) | c3_1(a1051) | hskp45(0) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 258483 [binary:257647,258477,factor:factor] c3_1(a1051) | hskp45(0) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 258528 [binary:257870,258342,factor:factor:factor:factor] c2_1(a1033) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258537 [binary:258264,258528,factor:factor:factor:factor] -c3_1(a1033) | -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258542 [binary:257870,258537,factor:factor] -c2_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258559 [binary:257943,258542,factor:factor] -c3_1(a1038) | c0_1(a1038) | c1_1(a1038) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 258717 [binary:257060,258133,binarycut:257061] -hskp1(0) | c3_1(a1023) | -c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258734 [binary:257494,258717,factor:factor:factor:factor] c3_1(a1023) | -c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258747 [binary:257075,258144,binarycut:257076] -hskp9(0) | c3_1(a1038) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258764 [binary:257495,258747,factor:factor:factor:factor] c3_1(a1038) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258770 [binary:258559,258764,factor:factor:factor:factor:factor] c0_1(a1038) | c1_1(a1038) | -c3_1(X) | -c1_1(Y) | c0_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258774 [binary:257075,258770,binarycut:257076] -hskp9(0) | -c3_1(X) | -c1_1(Y) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258780 [binary:257495,258774,factor:factor] -c3_1(X) | -c1_1(Y) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258792 [binary:257923,258780,factor:factor] c0_1(a1032) | c1_1(a1032) | -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(X).
% 258799 [binary:258734,258780,factor:factor:factor] c0_1(a1023) | c1_1(a1023) | -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 258817 [binary:257060,258799,binarycut:257061] -hskp1(0) | -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X).
% 258824 [binary:257494,258817,factor:factor] -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X).
% 258848 [binary:258792,258824,factor:factor] c2_1(a1032) | c1_1(a1032) | -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(X).
% 258903 [binary:257119,258848,binarycut:257118] -hskp34(0) | -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(X) | c3_1(Y) | c1_1(X).
% 258908 [binary:257493,258903,factor:factor] -c0_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c3_1(X) | c1_1(X).
% 259172 [binary:258483,258336,factor:factor] c2_1(a1051) | hskp45(0) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259176 [binary:257127,259172] -hskp44(0) | hskp45(0) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 259187 [binary:257647,259176,factor] hskp45(0) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259189 [binary:256947,259187] c2_1(a1052) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 259191 [binary:256948,259187] c3_1(a1052) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 259193 [binary:256949,259187] c0_1(a1052) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 259219 [binary:258234,259193,factor:factor:factor] -c2_1(a1052) | -c3_1(a1052) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259232 [binary:259189,259219,factor:factor:factor] -c3_1(a1052) | -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259236 [binary:259191,259232,factor:factor] -c2_1(X) | -c3_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259252 [binary:257933,259236,factor:factor] -c3_1(a1023) | c1_1(a1023) | -c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259274 [binary:258734,259252,factor:factor:factor] c1_1(a1023) | -c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 259283 [binary:257061,259274] -hskp1(0) | -c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259289 [binary:257494,259283,factor:factor] -c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 259306 [binary:257910,259289,factor:factor:factor] c2_1(a1089) | c1_1(a1089) | -c3_1(X) | -c1_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 259404 [binary:257103,259306,binarycut:257102] -hskp24(0) | -c3_1(X) | -c1_1(X) | c0_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 259411 [binary:257491,259404,factor:factor:factor] -c3_1(X) | -c1_1(X) | c0_1(Y) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 259428 [binary:257766,259411,factor:factor] -c1_1(a1039) | c0_1(a1039) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 259450 [binary:257541,259428,factor:factor] c0_1(a1039) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 259453 [binary:257077,259450] -hskp10(0) | c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 259458 [binary:257540,259453,factor] c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 259467 [binary:257096,259458,binarycut:257095,binarycut:257094] -hskp20(0) | c3_1(a1080).
% 259474 [binary:257673,259458] -c2_1(X) | c0_1(X) | c2_1(Y) | c3_1(Y) | c1_1(X) | c1_1(Y).
% 259536 [binary:257619,259474] c0_1(a1059) | c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 260335 [binary:257731,259536] -c2_1(a1059) | -c3_1(a1059) | c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 260829 [binary:257950,258351,factor:factor:factor:factor:factor:factor] c2_1(a1033) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c0_1(Y) | c0_1(Z) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X).
% 260970 [binary:258273,260829,factor:factor:factor:factor:factor:factor:factor:factor:factor] -c3_1(a1033) | -c2_1(X) | -c3_1(Y) | -c3_1(X) | c0_1(Y) | c0_1(Z) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X).
% 261057 [binary:257950,260970,factor:factor:factor:factor] -c2_1(X) | -c3_1(X) | -c3_1(Y) | c0_1(Z) | c0_1(Y) | c2_1(Z) | c2_1(Y) | c3_1(Z) | c1_1(X).
% 261075 [binary:257619,261057,factor:factor] -c3_1(a1059) | c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 261463 [binary:257705,258432,factor] -c3_1(a1056) | -c1_1(a1056) | -c0_1(X) | -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y).
% 261557 [binary:257701,261463,factor] -c1_1(a1056) | -c0_1(X) | -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(Y) | c1_1(X).
% 261561 [binary:257703,261557,factor] -c0_1(X) | -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y).
% 261621 [binary:257621,261075,factor] c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 261623 [binary:257087,261621] -hskp15(0) | hskp33(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 261626 [binary:257618,261623,factor] hskp33(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 261628 [binary:256922,261626] c2_1(a1031) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 261631 [binary:256923,261626] c3_1(a1031) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 261652 [binary:261057,261628,factor:factor:factor] -c3_1(a1031) | c1_1(a1031) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 261665 [binary:261631,261652,factor:factor] c1_1(a1031) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 261667 [binary:257117,261665] -hskp33(0) | -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(Y) | c2_1(X) | c3_1(Y).
% 261674 [binary:261626,261667,factor:factor:factor] -c3_1(X) | c0_1(X) | c0_1(Y) | c2_1(X) | c2_1(Y) | c3_1(Y).
% 261677 [binary:257511,261674] c0_1(a1077) | c2_1(a1077) | hskp18(0) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261724 [binary:257090,261677,binarycut:257089] -hskp17(0) | hskp18(0) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261735 [binary:256990,261724] hskp18(0) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261737 [binary:256903,261735] c0_1(a1078) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261739 [binary:256904,261735] c2_1(a1078) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261744 [binary:257731,261737] -c2_1(a1078) | -c3_1(a1078) | c1_1(a1078) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261750 [binary:258908,261737,factor:factor] c3_1(a1078) | c1_1(a1078) | hskp39(0) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261771 [binary:261739,261744,factor] -c3_1(a1078) | c1_1(a1078) | hskp39(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261774 [binary:261750,261771,factor] c1_1(a1078) | hskp39(0) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261776 [binary:257091,261774] -hskp18(0) | hskp39(0) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261779 [binary:261735,261776,factor] hskp39(0) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261781 [binary:256935,261779] c2_1(a1042) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261783 [binary:256936,261779] c0_1(a1042) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261792 [binary:257731,261783] -c2_1(a1042) | -c3_1(a1042) | c1_1(a1042) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261796 [binary:258908,261783,factor:factor] c3_1(a1042) | c1_1(a1042) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261806 [binary:261781,261792,factor] -c3_1(a1042) | c1_1(a1042) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261809 [binary:261796,261806,factor] c1_1(a1042) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261811 [binary:257122,261809] -hskp39(0) | -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261814 [binary:261779,261811,factor] -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(X).
% 261817 [binary:257541,261814,factor] c0_1(a1039) | c2_1(a1039) | c3_1(a1039).
% 261829 [binary:257077,261817,binarycut:257078] -hskp10(0) | c3_1(a1039).
% 261832 [binary:257540,261829] c3_1(a1039) | c0_1(X) | c2_1(X) | c3_1(X).
% 261838 [binary:261674,261832,factor:factor:factor] c0_1(a1039) | c2_1(a1039) | c0_1(X) | c2_1(X) | c3_1(X).
% 261843 [binary:257077,261838,binarycut:257078] -hskp10(0) | c0_1(X) | c2_1(X) | c3_1(X).
% 261850 [binary:257540,261843,factor] c0_1(X) | c2_1(X) | c3_1(X).
% 261857 [binary:257093,261850,binarycut:257092] -hskp19(0) | c3_1(a1079).
% 261861 [binary:257105,261850,binarycut:257104,binarycut:257106] -hskp25(0).
% 261884 [binary:257477,261861] -c2_1(X) | -c3_1(X) | -c1_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y).
% 261886 [binary:257585,261857] c3_1(a1079) | hskp20(0) | -c0_1(X) | c3_1(X) | c1_1(X).
% 261927 [binary:257705,261884] -c3_1(a1056) | -c1_1(a1056) | -c0_1(X) | -c2_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X).
% 261928 [binary:257712,261884] -c3_1(a1040) | -c1_1(a1040) | -c0_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X).
% 262001 [binary:257701,261927,factor] -c1_1(a1056) | -c0_1(X) | -c2_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X).
% 262004 [binary:257703,262001,factor] -c0_1(X) | -c2_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X).
% 262056 [binary:257714,261928,factor] -c1_1(a1040) | -c0_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X).
% 262071 [binary:257715,262056,factor] -c0_1(X) | -c3_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(X) | c2_1(Y) | c1_1(X).
% 262576 [binary:257619,260335,factor:factor] -c3_1(a1059) | c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262580 [binary:257621,262576,factor] c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262582 [binary:257087,262580] -hskp15(0) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 262599 [binary:257618,262582,factor] hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262601 [binary:256922,262599] c2_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 262604 [binary:256923,262599] c3_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 262633 [binary:259474,262601,factor:factor:factor] c0_1(a1031) | c1_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262659 [binary:257731,262633] -c2_1(a1031) | -c3_1(a1031) | c1_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262683 [binary:262601,262659,factor:factor:factor:factor:factor:factor] -c3_1(a1031) | c1_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262694 [binary:262604,262683,factor:factor:factor:factor] c1_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262696 [binary:257117,262694] -hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X) | c2_1(Y) | c3_1(Y) | c1_1(Y).
% 262726 [binary:262599,262696,factor:factor:factor] -c3_1(X) | c0_1(X) | c2_1(Y) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 262784 [binary:261886,262726,factor] c0_1(a1079) | c2_1(a1079) | hskp20(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262881 [binary:257093,262784,binarycut:257092] -hskp19(0) | hskp20(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262887 [binary:257585,262881,factor] hskp20(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262889 [binary:259467,262887] c3_1(a1080) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262906 [binary:262726,262889,factor:factor] c0_1(a1080) | c2_1(a1080) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262909 [binary:257096,262906,binarycut:257095] -hskp20(0) | -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262919 [binary:262887,262909,factor] -c0_1(X) | c2_1(X) | c3_1(X) | c1_1(X).
% 262930 [binary:261850,262919] c2_1(X) | c3_1(X) | c1_1(X).
% 262933 [binary:257058,262930,binarycut:257059] -hskp0(0) | c3_1(a1020).
% 262940 [binary:257539,262930] c0_1(X) | c3_1(X) | c1_1(X).
% 262963 [binary:256992,262933] c3_1(a1020) | hskp29(0) | hskp30(0).
% 262982 [binary:261561,262940] -c2_1(X) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X) | c1_1(Y).
% 262983 [binary:262004,262940] -c2_1(X) | -c1_1(Y) | c0_1(Y) | c2_1(Y) | c3_1(X) | c1_1(X).
% 262989 [binary:258326,262963] c2_1(a1020) | hskp29(0) | hskp30(0) | -c2_1(X) | -c3_1(X) | c1_1(X).
% 263015 [binary:262930,262982] c0_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y) | c1_1(X).
% 263023 [binary:257096,263015,binarycut:257095,binarycut:257094] -hskp20(0) | c3_1(X) | c1_1(X).
% 263072 [binary:262930,262983] -c1_1(X) | c0_1(X) | c2_1(X) | c3_1(Y) | c1_1(Y).
% 263080 [binary:257586,263072,factor] c0_1(a1079) | c2_1(a1079) | hskp20(0) | -c0_1(X) | c3_1(X) | c1_1(X).
% 263101 [binary:257093,263080,binarycut:257092] -hskp19(0) | hskp20(0) | -c0_1(X) | c3_1(X) | c1_1(X).
% 263107 [binary:257585,263101,factor] hskp20(0) | -c0_1(X) | c3_1(X) | c1_1(X).
% 263112 [binary:263023,263107,factor] -c0_1(X) | c3_1(X) | c1_1(X).
% 263120 [binary:262940,263112] c3_1(X) | c1_1(X).
% 263123 [binary:257074,263120,binarycut:257073] -hskp8(0).
% 263128 [binary:257112,263120,binarycut:257113] -hskp29(0).
% 263130 [binary:257136,263120,binarycut:257135] -hskp56(0).
% 263150 [binary:257531,263123] hskp37(0) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 263167 [binary:256931,263150] c0_1(a1037) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 263185 [binary:257731,263167,binarycut:263120] -c2_1(a1037) | c1_1(a1037) | -c3_1(X) | -c1_1(X) | c0_1(X).
% 263194 [binary:262071,263167,binarycut:263120,factor] c2_1(a1037) | c1_1(a1037) | -c3_1(X) | -c1_1(X) | c0_1(X) | c2_1(X).
% 263261 [binary:263185,263194,factor] c1_1(a1037) | -c3_1(X) | -c1_1(X) | c0_1(X) | c2_1(X).
% 263263 [binary:257121,263261] -hskp37(0) | -c3_1(X) | -c1_1(X) | c0_1(X) | c2_1(X).
% 263266 [binary:263150,263263,factor] -c3_1(X) | -c1_1(X) | c0_1(X) | c2_1(X).
% 263319 [binary:257058,262989,cut:263128,binarycut:263120] -hskp0(0) | hskp30(0) | -c2_1(X) | c1_1(X).
% 263320 [binary:256992,263319,cut:263128] hskp30(0) | -c2_1(X) | c1_1(X).
% 263322 [binary:256916,263320] c1_1(a1022) | -c2_1(X) | c1_1(X).
% 263324 [binary:256917,263320] c3_1(a1022) | -c2_1(X) | c1_1(X).
% 263328 [binary:263266,263324] -c1_1(a1022) | c0_1(a1022) | c2_1(a1022) | -c2_1(X) | c1_1(X).
% 263331 [binary:263322,263328,factor] c0_1(a1022) | c2_1(a1022) | -c2_1(X) | c1_1(X).
% 263335 [binary:258323,263331,binarycut:263120,factor] -c3_1(a1022) | c2_1(a1022) | -c2_1(X) | c1_1(X).
% 263338 [binary:263324,263335,factor] c2_1(a1022) | -c2_1(X) | c1_1(X).
% 263340 [binary:257114,263338] -hskp30(0) | -c2_1(X) | c1_1(X).
% 263344 [binary:263320,263340,factor] -c2_1(X) | c1_1(X).
% 263346 [binary:257557,263344,cut:263130] c1_1(a1083) | -c3_1(X) | -c1_1(X) | c2_1(X).
% 263347 [binary:257619,263344] c1_1(a1059) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 263355 [binary:257100,263346] -hskp22(0) | -c3_1(X) | -c1_1(X) | c2_1(X).
% 263362 [binary:257501,263355,cut:263130,factor] -c3_1(X) | -c1_1(X) | c2_1(X).
% 263364 [binary:257511,263362] -c1_1(a1077) | c2_1(a1077) | hskp18(0) | hskp39(0).
% 263403 [binary:257087,263347] -hskp15(0) | hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 263434 [binary:257618,263403,factor] hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 263436 [binary:256922,263434] c2_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(X).
% 263447 [binary:263344,263436] c1_1(a1031) | -c3_1(X) | c0_1(X) | c2_1(X).
% 263453 [binary:257117,263447] -hskp33(0) | -c3_1(X) | c0_1(X) | c2_1(X).
% 263458 [binary:263434,263453,factor] -c3_1(X) | c0_1(X) | c2_1(X).
% 263473 [binary:263120,263458,binarycut:263344] c0_1(X) | c1_1(X).
% 263481 [binary:257090,263473] -hskp17(0) | c1_1(a1077).
% 263500 [binary:256990,263481] c1_1(a1077) | hskp18(0) | hskp39(0).
% 263523 [binary:263364,263500] c2_1(a1077) | hskp18(0) | hskp39(0).
% 263527 [binary:257089,263523] -hskp17(0) | hskp18(0) | hskp39(0).
% 263529 [binary:256990,263527] hskp18(0) | hskp39(0).
% 263532 [binary:256904,263529] c2_1(a1078) | hskp39(0).
% 263541 [binary:263344,263532] c1_1(a1078) | hskp39(0).
% 263544 [binary:257091,263541,binarycut:263529] hskp39(0).
% 263545 [binary:256935,263544] c2_1(a1042).
% 263547 [binary:263344,263545] c1_1(a1042).
% 263550 [binary:257122,263547,cut:263544] 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: 15
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    21497
%  derived clauses:   688036
%  kept clauses:      146844
%  kept size sum:     64596
%  kept mid-nuclei:   57591
%  kept new demods:   0
%  forw unit-subs:    5
%  forw double-subs: 45593
%  forw overdouble-subs: 340618
%  backward subs:     4395
%  fast unit cutoff:  5529
%  full unit cutoff:  0
%  dbl  unit cutoff:  9557
%  real runtime:  129.32
%  process. runtime:  128.71
% specific non-discr-tree subsumption statistics: 
%  tried:           40517088
%  length fails:    80882
%  strength fails:  15929666
%  predlist fails:  15682656
%  aux str. fails:  1250558
%  by-lit fails:    5334998
%  full subs tried: 1202538
%  full subs fail:  1151112
% 
% ; 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/SYN447-1+noeq.in")
% 
%------------------------------------------------------------------------------