TSTP Solution File: SYN755-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN755-1 : TPTP v3.4.2. Released v2.5.0.
% 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 159.1s
% Output : Assurance 159.1s
% 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/SYN755-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 2 13)
% (binary-unit 10 #f 2 13)
% (binary-double 16 #f 2 13)
% (binary 54 #t 2 13)
% (binary-order 27 #f 2 13)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(51,40,0,107,0,0,72698,50,1591,72698,40,1591,72754,0,1591,73730,50,1596,73786,0,1596,74762,50,1601,74818,0,1601,75794,50,1606,75850,0,1606,76826,50,1611,76882,0,1611,77858,50,1616,77914,0,1616,78890,50,1621,78946,0,1621,79922,50,1626,79978,0,1626,80954,50,1631,81010,0,1631,81986,50,1636,82042,0,1636,83018,50,1641,83074,0,1642,84050,50,1647,84106,0,1647,85082,50,1652,85138,0,1652,86114,50,1657,86170,0,1657,87146,50,1663,87202,0,1663,88178,50,1668,88234,0,1668,89210,50,1673,89266,0,1674,90242,50,1679,90298,0,1679,91274,50,1684,91330,0,1684,92306,50,1690,92362,0,1690,93338,50,1695,93338,40,1695,93394,0,1695,96081,50,1727,96137,0,1727,99457,50,1777,99513,0,1777,102833,50,1827,102889,0,1827,106209,50,1879,106265,0,1879,109585,50,1930,109641,0,1930,112961,50,1981,113017,0,1981,116337,50,2033,116393,0,2033,119713,50,2086,119769,0,2086,123089,50,2137,123145,0,2138,126465,50,2190,126521,0,2190,129841,50,2243,129897,0,2243,133217,50,2296,133273,0,2296,136593,50,2350,136649,0,2350,139969,50,2404,140025,0,2405,143345,50,2458,143401,0,2458,146721,50,2514,146721,40,2514,146777,0,2514,166260,3,5277,170045,4,6565,174490,5,7915,174491,1,7915,174491,50,7915,174491,40,7915,174547,0,7915,189061,3,9342,191708,4,9941,193186,62,10616,193187,5,10616,193188,1,10616,193188,50,10616,193188,40,10616,193244,0,10616)
%
%
% START OF PROOF
% 193189 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv3(X) | -ss^pv3(Z) | -ss^pv1(Y) | ss^pv4(U).
% 193191 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv4(Z) | -ss^pv2(Y) | -ss^pv1(X) | ss^pv3(U).
% 193192 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv3(Z) | -ss^pv2(Y) | -ss^pv1(X) | ss^pv4(U).
% 193194 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv4(Z) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(U).
% 193197 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv4(X) | -ss^pv4(Z) | ss^pv3(Y) | ss^pv2(U).
% 193202 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv2(Z) | ss^pv4(X) | ss^pv3(Y) | ss^pv1(U).
% 193203 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(X) | -ss^pv3(Z) | ss^pv1(X).
% 193205 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv4(Y) | -ss^pv1(Z) | ss^pv3(X).
% 193206 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv4(Y) | -ss^pv3(Z) | ss^pv3(X).
% 193208 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv2(X) | -ss^pv2(Y) | ss^pv1(Z).
% 193210 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv2(Z) | ss^pv3(X) | ss^pv1(X).
% 193211 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(X) | ss^pv4(Z) | ss^pv1(X).
% 193212 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv3(X) | -ss^pv3(Y) | ss^pv4(Z) | ss^pv1(X).
% 193215 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(Z) | ss^pv4(X) | ss^pv2(X).
% 193217 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv1(X) | ss^pv2(Z) | ss^pv2(X).
% 193218 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X) | ss^pv4(Z) | ss^pv2(X).
% 193220 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(X) | -ss^pv1(Y) | ss^pv3(X) | ss^pv2(Z).
% 193222 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv2(X) | ss^pv4(X) | ss^pv2(Z).
% 193223 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv3(Z) | ss^pv2(X) | ss^pv1(X).
% 193224 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv3(Z) | ss^pv2(X) | ss^pv1(X).
% 193226 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv4(X) | ss^pv2(X) | ss^pv1(Z).
% 193227 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X) | ss^pv4(Z) | ss^pv2(X).
% 193228 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(X) | ss^pv3(X) | ss^pv3(Z).
% 193229 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(X) | ss^pv3(X) | ss^pv3(Y) | ss^pv2(Z).
% 193230 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv1(X) | ss^pv4(X) | ss^pv4(Y) | ss^pv1(Z).
% 193231 [] -ss^rr(X,Z) | -ss^rr(X,Y) | ss^pv4(Y) | ss^pv3(X) | ss^pv2(X) | ss^pv1(Z).
% 193232 [] -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv2(X) | -ss^pv1(X) | ss^pv3(Y).
% 193233 [] -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv2(X) | ss^pv3(X) | ss^pv1(X).
% 193235 [] -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 193236 [] -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 193237 [] ss^rr(X,skf1(X)).
% 193239 [] -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv3(X) | -ss^pv2(X) | -ss^pv1(Y).
% 193240 [] $spltprd1($spltcnst21,X) | -ss^rr(X,Y) | -ss^pv1(Y).
% 193241 [] $spltprd1($spltcnst22,X) | -ss^rr(X,Y) | -ss^pv2(Y).
% 193242 [] $spltprd1($spltcnst23,X) | -ss^rr(X,Y) | -ss^pv4(Y).
% 193243 [] $spltprd1($spltcnst24,X) | -ss^pv3(X).
% 193244 [] -$spltprd1($spltcnst22,X) | -$spltprd1($spltcnst21,X) | -$spltprd1($spltcnst24,X) | -$spltprd1($spltcnst23,X).
% 193295 [binary:193237,193240.2] -ss^pv1(skf1(X)) | $spltprd1($spltcnst21,X).
% 193298 [binary:193237,193241.2] -ss^pv2(skf1(X)) | $spltprd1($spltcnst22,X).
% 193303 [binary:193237,193242.2] -ss^pv4(skf1(X)) | $spltprd1($spltcnst23,X).
% 193306 [binary:193237,193239] -ss^pv1(skf1(X)) | -ss^pv4(X) | -ss^pv3(X) | -ss^pv2(X).
% 193310 [binary:193237,193232] ss^pv3(skf1(X)) | -ss^pv4(X) | -ss^pv2(X) | -ss^pv1(X).
% 193313 [binary:193237,193233] -ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv3(X) | ss^pv1(X).
% 193318 [binary:193237,193189] ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv3(Y) | -ss^pv3(X) | -ss^pv1(Z).
% 193322 [binary:193237,193235] -ss^pv3(skf1(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 193326 [binary:193237,193236] -ss^pv1(skf1(X)) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 193331 [binary:193237,193203] -ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(X) | ss^pv1(X).
% 193337 [binary:193237,193191] ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv4(Y) | -ss^pv2(Z) | -ss^pv1(X).
% 193339 [binary:193237,193205] -ss^pv1(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv4(X) | ss^pv3(X).
% 193342 [binary:193237,193206] -ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv4(X) | ss^pv3(X).
% 193347 [binary:193237,193192] ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv3(Y) | -ss^pv2(Z) | -ss^pv1(X).
% 193351 [binary:193237,193208] ss^pv1(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv2(Y) | -ss^pv2(X).
% 193354 [binary:193237,193351.2] -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv4(X) | -ss^pv2(X).
% 193360 [binary:193237,193194] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv4(Y) | -ss^pv3(Z) | ss^pv4(X).
% 193368 [binary:193237,193210] -ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv3(X) | ss^pv1(X).
% 193373 [binary:193237,193211] ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(X) | ss^pv1(X).
% 193376 [binary:193237,193373.2] -ss^pv3(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 193377 [binary:193237,193373.2,binarydemod:193303] -ss^pv3(skf1(X)) | $spltprd1($spltcnst23,X) | -ss^pv2(X) | ss^pv1(X).
% 193384 [binary:193237,193212] ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv3(X) | ss^pv1(X).
% 193387 [binary:193237,193384.2] -ss^pv3(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 193392 [binary:193237,193197] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv4(Y) | -ss^pv4(X) | ss^pv3(Z).
% 193404 [binary:193237,193215] -ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv4(X) | ss^pv2(X).
% 193410 [binary:193237,193217] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv1(X) | ss^pv2(X).
% 193416 [binary:193237,193410.2] -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 193422 [binary:193237,193218] ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X) | ss^pv2(X).
% 193428 [binary:193237,193422.2] -ss^pv2(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 193437 [binary:193237,193202] ss^pv1(skf1(X)) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv2(Y) | ss^pv4(X) | ss^pv3(Z).
% 193443 [binary:193237,193220] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(X) | -ss^pv1(Y) | ss^pv3(X).
% 193446 [binary:193237,193443.2] -ss^pv1(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv3(X).
% 193455 [binary:193237,193222] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv2(X) | ss^pv4(X).
% 193458 [binary:193237,193455.2] -ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv4(X).
% 193461 [binary:193237,193223] ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv2(X) | ss^pv1(X).
% 193465 [binary:193237,193461.2] -ss^pv1(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 193469 [binary:193237,193224] ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv2(X) | ss^pv1(X).
% 193471 [binary:193237,193469.2] -ss^pv2(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 193477 [binary:193237,193226] ss^pv1(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv4(X) | ss^pv2(X).
% 193480 [binary:193237,193227] ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(X).
% 193483 [binary:193237,193477.2] -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 193488 [binary:193237,193480.2] -ss^pv3(skf1(X)) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 193492 [binary:193237,193228] ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(X) | ss^pv3(X).
% 193495 [binary:193237,193492.2] -ss^pv1(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 193499 [binary:193237,193229] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(X) | ss^pv3(Y) | ss^pv3(X).
% 193502 [binary:193237,193230] ss^pv1(skf1(X)) | -ss^rr(X,Y) | -ss^pv1(X) | ss^pv4(Y) | ss^pv4(X).
% 193505 [binary:193237,193499.2] ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv3(X).
% 193510 [binary:193237,193502.2] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv1(X) | ss^pv4(X).
% 193514 [binary:193237,193231] ss^pv1(skf1(X)) | -ss^rr(X,Y) | ss^pv4(Y) | ss^pv3(X) | ss^pv2(X).
% 193518 [binary:193237,193514.2] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X) | ss^pv2(X).
% 193529 [binary:193326,193518.2] ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 193564 [binary:193495,193518.2] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 193566 [binary:193505.3,193518.4] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X).
% 193616 [binary:193354,193529.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv4(X) | -ss^pv2(X).
% 193633 [binary:193465,193529.4] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 193644 [binary:193505.3,193529.3] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 193648 [binary:193237,193318.2] -ss^pv3(skf1(X)) | ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(X) | -ss^pv1(Y).
% 193815 [binary:193488,193564.2] ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 193819 [binary:193505.3,193564.5] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 193842 [binary:193416,193815.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 193889 [binary:193237,193337.2] -ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X).
% 193918 [binary:193237,193347.2] -ss^pv3(skf1(X)) | ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X).
% 193950 [binary:193376,193644.2] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv3(X) | ss^pv1(X).
% 193976 [binary:193529.3,193950.3] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 194100 [binary:193237,193360.2] -ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X).
% 194192 [binary:193322,193819.2] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 194218 [binary:193815.4,194192.3] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 194336 [binary:193237,193392.2] -ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(X) | ss^pv3(Y).
% 194444 [binary:194218,194100] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X) | ss^pv3(X).
% 194449 [binary:193237,194444.2] -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 194542 [binary:193815.2,194336,factor:cut:193237] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv4(X).
% 194553 [binary:193976,194336] ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(X) | ss^pv3(X) | ss^pv3(Y) | ss^pv1(X).
% 194724 [binary:193237,193437.2] -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | -ss^rr(X,Y) | ss^pv4(X) | ss^pv3(Y).
% 194735 [binary:193529.3,194724,factor:cut:193237] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 194770 [binary:193313,194735] -ss^pv2(skf1(X)) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 194795 [binary:193465,194735.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X) | ss^pv1(X).
% 194800 [binary:193495,194735.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 194840 [binary:194218.2,194770] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 194858 [binary:193322,194800.2] ss^pv4(skf1(skf1(X))) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 194868 [binary:193404,194800.2] ss^pv4(skf1(skf1(X))) | -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 194893 [binary:194449,194800.2] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 194918 [binary:194542.4,194800.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv3(X).
% 194987 [binary:193483,194893.2] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 195506 [binary:193471,194918.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 195986 [binary:193495,194840.3] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 196013 [binary:193322,195986.2] ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 196075 [binary:193815.4,196013.2] ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 196082 [binary:193310.2,196075] ss^pv3(skf1(skf1(X))) | -ss^pv2(skf1(X)) | -ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 196083 [binary:193313,196075] -ss^pv2(X) | ss^pv4(X) | ss^pv3(X) | ss^pv1(X).
% 196088 [binary:193376,196075.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 196090 [binary:193387,196075.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 196092 [binary:193648,196075.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(X) | -ss^pv1(Y).
% 196095 [binary:193889,196075.2] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X).
% 196165 [binary:193529.3,196088.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 196203 [binary:193313,196165.2] ss^pv4(skf1(skf1(X))) | -ss^pv2(X) | ss^pv3(X) | ss^pv1(X).
% 196233 [binary:196090.3,196165.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(X).
% 196239 [binary:193303,196233.2] ss^pv4(skf1(skf1(X))) | $spltprd1($spltcnst23,X) | ss^pv1(X).
% 196244 [binary:193310.2,196233.2] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | -ss^pv2(skf1(X)) | -ss^pv1(skf1(X)) | ss^pv1(X).
% 196257 [binary:193458,196233] ss^pv2(skf1(skf1(X))) | -ss^pv2(skf1(X)) | ss^pv4(skf1(X)) | ss^pv1(X).
% 196259 [binary:193458,196233.2] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv1(X).
% 196263 [binary:193510.3,196233.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 196270 [binary:194100,196233] ss^pv2(skf1(skf1(X))) | -ss^rr(skf1(X),Y) | ss^pv4(skf1(X)) | -ss^pv3(Y) | ss^pv1(X).
% 196341 [binary:193976.2,196257.2] ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 196386 [binary:194770,196341] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 196762 [binary:193326,194987.2] ss^pv4(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 197035 [binary:194858.2,196762.4] ss^pv4(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X) | ss^pv1(X).
% 197281 [binary:196203.2,195506.4] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 197513 [binary:196083,193566.3] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X).
% 197743 [binary:194795.4,196259.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv1(X).
% 198847 [binary:194735.4,193616.4] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv2(X).
% 198897 [binary:193471,193633.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 198941 [binary:193331,198897.2] ss^pv4(skf1(skf1(X))) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 198974 [binary:198847.4,198897.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 199017 [binary:193331,198974.2] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(X)) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(X) | ss^pv1(X).
% 199195 [binary:196233.3,193842.4] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 199207 [binary:193428,199195.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 199251 [binary:196233.3,199207.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 199269 [binary:194100,199251] ss^pv2(skf1(skf1(X))) | -ss^rr(skf1(X),Y) | ss^pv4(skf1(X)) | -ss^pv3(Y) | ss^pv2(X).
% 199388 [binary:193237,194553.2] ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv4(X) | ss^pv3(X) | ss^pv1(X).
% 199461 [binary:197513,199388.3] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X).
% 199540 [binary:193237,196092.3] ss^pv4(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv3(X).
% 199546 [binary:196263.3,199540.2] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv4(X).
% 199554 [binary:196075.3,199546.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X).
% 199575 [binary:194100,199554.2] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X).
% 199678 [binary:193237,196095.3] ss^pv4(skf1(skf1(X))) | -ss^pv2(skf1(X)) | ss^pv3(skf1(X)) | -ss^pv1(X).
% 199706 [binary:194918.3,199678.2] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv1(X) | ss^pv3(X).
% 199716 [binary:199251.3,199678.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv1(X).
% 199720 [binary:197281.4,199706.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv3(X).
% 199734 [binary:193342,199720.2] ss^pv4(skf1(skf1(X))) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv4(Y) | ss^pv3(X).
% 200036 [binary:193237,199734.2] ss^pv4(skf1(skf1(X))) | -ss^pv4(skf1(X)) | -ss^pv4(X) | ss^pv3(X).
% 200055 [binary:196233.2,200036.2] ss^pv4(skf1(skf1(X))) | -ss^pv4(X) | ss^pv3(X) | ss^pv1(X).
% 200066 [binary:199251.2,200036.2] ss^pv4(skf1(skf1(X))) | -ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 200073 [binary:199720,200036.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv3(X).
% 200125 [binary:197035.2,200055.2] ss^pv4(skf1(skf1(X))) | ss^pv3(X) | ss^pv1(X).
% 200128 [binary:193243.2,200125.2] ss^pv4(skf1(skf1(X))) | $spltprd1($spltcnst24,X) | ss^pv1(X).
% 200158 [binary:193465,200125.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 200161 [binary:193495,200125.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 200689 [binary:193387,200158.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 200785 [binary:193322,200161.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 202227 [binary:194542.4,197743.4] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(X).
% 202433 [binary:193237,199575.3] ss^pv4(skf1(skf1(X))) | -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X).
% 202444 [binary:202227.2,202433.2] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv1(X).
% 203057 [binary:198897.4,199716.4] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(X).
% 203073 [binary:193529.2,200689.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 204190 [binary:200036.2,203057.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(X).
% 206058 [binary:193237,194868.2] ss^pv4(skf1(skf1(X))) | -ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 206061 [binary:196075,206058.2] ss^pv4(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 206117 [binary:194858.2,206061.4] ss^pv4(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X).
% 206131 [binary:200066.2,206061.2] ss^pv4(skf1(skf1(X))) | ss^pv3(X) | ss^pv2(X).
% 206151 [binary:193303,206117.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | $spltprd1($spltcnst23,X).
% 206158 [binary:193376,206117.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 206167 [binary:193648,206117.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv3(X) | -ss^pv1(Y).
% 206170 [binary:193889,206117.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X).
% 206172 [binary:193918,206117.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X).
% 206205 [binary:200073.2,206117.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | ss^pv3(X).
% 206212 [binary:204190.2,206117.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | ss^pv2(X).
% 206240 [binary:193416,206131.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 206388 [binary:193342,206205.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv4(Y) | ss^pv3(X).
% 206453 [binary:193404,206212.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv4(X) | ss^pv2(X).
% 206513 [binary:193377,206151.2] ss^pv4(skf1(skf1(skf1(X)))) | $spltprd1($spltcnst23,X) | -ss^pv2(X) | ss^pv1(X).
% 206836 [binary:203073.3,206513.3,binarycut:193303] ss^pv4(skf1(skf1(skf1(X)))) | $spltprd1($spltcnst23,X) | ss^pv1(X).
% 206917 [binary:203073.3,206158.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv1(X).
% 206933 [binary:193510.3,206917.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 207108 [binary:206917.3,206240.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 207524 [binary:193428,207108.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 207595 [binary:206917.3,207524.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 208012 [binary:193237,206388.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(skf1(X)) | -ss^pv4(X) | ss^pv3(X).
% 208088 [binary:207595.2,208012.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 209737 [binary:193237,206453.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 209795 [binary:207595.2,209737.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(X) | ss^pv2(X).
% 209878 [binary:200785.2,209795.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(X) | ss^pv3(X).
% 209898 [binary:208088.2,209795.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(X) | ss^pv2(X).
% 213023 [binary:193237,196270.2] -ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(X).
% 213065 [binary:193495,196386.2] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 213078 [binary:193322,213065] -ss^pv2(skf1(X)) | ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 213084 [binary:193976.2,213078] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 213092 [binary:193376,213084.2] ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv3(X) | ss^pv1(X).
% 213101 [binary:193529.3,213092.2] ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 213107 [binary:193313,213101] -ss^pv2(X) | ss^pv3(X) | ss^pv1(X).
% 213177 [binary:193237,198941.2] ss^pv4(skf1(skf1(X))) | -ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 213180 [binary:196233.2,213177.2] ss^pv4(skf1(skf1(X))) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 213183 [binary:200125.2,213180.2] ss^pv4(skf1(skf1(X))) | ss^pv2(X) | ss^pv1(X).
% 213189 [binary:193306,213183.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | -ss^pv4(X) | -ss^pv3(X) | -ss^pv2(X).
% 213194 [binary:193354,213183.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv1(skf1(X)) | -ss^pv4(X) | -ss^pv2(X).
% 213196 [binary:193446,213183.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv3(X).
% 213529 [binary:206933.4,213194.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv2(X).
% 213644 [binary:209898.3,213196.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | ss^pv3(X).
% 214574 [binary:207595.3,213529.4] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)).
% 216204 [binary:193237,199269.2] -ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 216265 [binary:193237,206167.3] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv1(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv3(X).
% 216289 [binary:214574.3,216265.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv3(X).
% 216292 [binary:196075.3,216289.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv4(X).
% 216300 [binary:213644.3,216289.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)).
% 216321 [binary:193458,216292.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv4(X).
% 216833 [binary:209795.3,216321.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | ss^pv4(X).
% 216888 [binary:213189.3,216833.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | -ss^pv3(X) | -ss^pv2(X).
% 216938 [binary:213644.3,216888.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | -ss^pv2(X).
% 217825 [binary:193237,206170.3] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv2(skf1(X)) | ss^pv3(skf1(X)) | -ss^pv1(X).
% 217975 [binary:206131.3,217825.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | -ss^pv1(X).
% 218087 [binary:193237,206172.3] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv2(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv1(X).
% 218100 [binary:216300.3,218087.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv1(X).
% 218106 [binary:206836.3,218100.3,binarycut:193303] ss^pv4(skf1(skf1(skf1(X)))) | $spltprd1($spltcnst23,X).
% 218108 [binary:206917.3,218100.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)).
% 218137 [binary:208012.2,218108.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(X) | ss^pv3(X).
% 218243 [binary:209878.2,218137.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(X).
% 218246 [binary:193243.2,218243.2] ss^pv4(skf1(skf1(skf1(X)))) | $spltprd1($spltcnst24,X).
% 226406 [binary:193237,199017.3] ss^pv4(skf1(skf1(X))) | -ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 226409 [binary:196233.2,226406.2] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 226412 [binary:200125.2,226409.3] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 226415 [binary:193295,226412.2] ss^pv4(skf1(skf1(X))) | $spltprd1($spltcnst21,X) | ss^pv1(X).
% 226419 [binary:193306,226412.2] ss^pv4(skf1(skf1(X))) | -ss^pv4(X) | -ss^pv3(X) | -ss^pv2(X) | ss^pv1(X).
% 226489 [binary:202444.3,226419.2] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | -ss^pv3(X) | -ss^pv2(X) | ss^pv1(X).
% 226515 [binary:218108.2,226419.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv3(skf1(X)) | -ss^pv2(skf1(X)) | ss^pv1(skf1(X)).
% 226617 [binary:200125.2,226489.3] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 226620 [binary:213183.2,226617.3] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv1(X).
% 226625 [binary:193298,226620.2] ss^pv4(skf1(skf1(X))) | $spltprd1($spltcnst22,X) | ss^pv1(X).
% 226664 [binary:196244.3,226620.2] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv1(X).
% 226669 [binary:193244,226625.2] ss^pv4(skf1(skf1(X))) | -$spltprd1($spltcnst24,X) | -$spltprd1($spltcnst23,X) | -$spltprd1($spltcnst21,X) | ss^pv1(X).
% 226745 [binary:226412.2,226664.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | ss^pv1(X).
% 226763 [binary:193889,226745] ss^pv3(skf1(skf1(X))) | -ss^rr(skf1(X),Y) | -ss^pv1(skf1(X)) | -ss^pv2(Y) | ss^pv1(X).
% 226769 [binary:194336,226745,factor:cut:193237] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | -ss^pv4(skf1(X)) | ss^pv1(X).
% 226903 [binary:213101,226769.3] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv3(X) | ss^pv1(X).
% 227069 [binary:226412,226769.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv2(skf1(skf1(skf1(X)))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 227102 [binary:193471,226903.2] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 227710 [binary:200125.2,226515.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv2(skf1(X)) | ss^pv1(skf1(X)).
% 227713 [binary:213183.2,227710.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv1(skf1(X)).
% 227716 [binary:193295,227713.2] ss^pv4(skf1(skf1(skf1(X)))) | $spltprd1($spltcnst21,X).
% 228050 [binary:193326,227102.3] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 228232 [binary:213107,228050.4] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 228269 [binary:193368,228232.2] ss^pv3(skf1(skf1(X))) | -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv3(X) | ss^pv1(X).
% 228792 [binary:193237,228269.2] ss^pv3(skf1(skf1(X))) | -ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 228825 [binary:213101,228792.2] ss^pv3(skf1(skf1(X))) | ss^pv3(X) | ss^pv1(X).
% 228854 [binary:193465,228825.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 229021 [binary:193387,228854.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 230311 [binary:213101.2,229021.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 231191 [binary:193237,226763.2] -ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv1(X).
% 231273 [binary:231191,227069.2] ss^pv3(skf1(skf1(skf1(X)))) | -ss^pv1(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 232279 [binary:200128.2,226669.2] ss^pv4(skf1(skf1(X))) | -$spltprd1($spltcnst23,X) | -$spltprd1($spltcnst21,X) | ss^pv1(X).
% 232284 [binary:196239.2,232279.2] ss^pv4(skf1(skf1(X))) | -$spltprd1($spltcnst21,X) | ss^pv1(X).
% 232297 [binary:226415.2,232284.2] ss^pv4(skf1(skf1(X))) | ss^pv1(X).
% 232308 [binary:217975.3,232297.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)).
% 232404 [binary:200036.2,232308.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(skf1(X)) | ss^pv3(skf1(X)).
% 232446 [binary:206117.2,232404.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv3(skf1(X)).
% 232452 [binary:193331,232446.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(X) | ss^pv1(X).
% 232558 [binary:193237,232452.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 232587 [binary:218108.2,232558.2] ss^pv4(skf1(skf1(skf1(X)))) | -ss^pv3(X) | ss^pv1(X).
% 232590 [binary:218243.2,232587.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv1(X).
% 232603 [binary:194336,232590,binarycut:232297] ss^pv2(skf1(skf1(skf1(X)))) | -ss^rr(skf1(skf1(X)),Y) | ss^pv3(Y) | ss^pv1(X).
% 232619 [binary:206240.3,232590.2] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | ss^pv2(X).
% 232699 [binary:216938.3,232619.3] ss^pv4(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)).
% 232719 [binary:193298,232699.2] ss^pv4(skf1(skf1(skf1(X)))) | $spltprd1($spltcnst22,X).
% 232761 [binary:193244,232719.2] ss^pv4(skf1(skf1(skf1(X)))) | -$spltprd1($spltcnst24,X) | -$spltprd1($spltcnst23,X) | -$spltprd1($spltcnst21,X).
% 233022 [binary:193237,232603.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv2(skf1(skf1(skf1(X)))) | ss^pv1(X).
% 233058 [binary:193471,233022.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv1(X).
% 233073 [binary:213107,233022.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv1(skf1(skf1(skf1(X)))) | ss^pv1(X).
% 233092 [binary:193306,233073.2,binarycut:232297] ss^pv3(skf1(skf1(skf1(X)))) | -ss^pv3(skf1(skf1(X))) | -ss^pv2(skf1(skf1(X))) | ss^pv1(X).
% 233285 [binary:218246.2,232761.2] ss^pv4(skf1(skf1(skf1(X)))) | -$spltprd1($spltcnst21,X) | -$spltprd1($spltcnst23,X).
% 233293 [binary:227716.2,233285.2] ss^pv4(skf1(skf1(skf1(X)))) | -$spltprd1($spltcnst23,X).
% 233302 [binary:218106.2,233293.2] ss^pv4(skf1(skf1(skf1(X)))).
% 233448 [binary:213107,233058.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv1(X).
% 233453 [binary:231273.2,233058.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 234799 [binary:231273.2,233448.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 234807 [binary:233092.2,233448.2] ss^pv3(skf1(skf1(skf1(X)))) | -ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv1(X).
% 234842 [binary:233092.2,234799.2] ss^pv3(skf1(skf1(skf1(X)))) | -ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 234851 [binary:233453.2,234842.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 236014 [binary:233058.2,234807.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv1(skf1(skf1(X))) | ss^pv1(X).
% 236555 [binary:193471,199461.2] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X).
% 236667 [binary:213107,236555.3] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X).
% 236711 [binary:193495,236667.3] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 236835 [binary:194449,236711.2] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 236935 [binary:196082.2,236835.2] ss^pv3(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 236949 [binary:236014.2,236935.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv1(X).
% 237239 [binary:193376,236949.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 237262 [binary:230311.3,237239.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv4(skf1(X)) | ss^pv1(X).
% 237291 [binary:226769.3,237262.2] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv1(X).
% 238548 [binary:231191,237291.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv3(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv1(X).
% 238572 [binary:234851.2,238548.3] ss^pv3(skf1(skf1(skf1(X)))) | ss^pv3(skf1(skf1(X))) | ss^pv1(X).
% 238582 [binary:193342,238572,binarycut:232297] -ss^rr(skf1(skf1(X)),Y) | ss^pv3(skf1(skf1(X))) | -ss^pv4(Y) | ss^pv1(X).
% 238631 [binary:193237,238582,cut:233302] ss^pv3(skf1(skf1(X))) | ss^pv1(X).
% 238639 [binary:193331,238631] -ss^rr(skf1(X),Y) | -ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv4(Y) | ss^pv1(X).
% 238669 [binary:213023,238631] ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(X).
% 239904 [binary:193237,238639,binarycut:232297] -ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 239995 [binary:238631,239904] ss^pv1(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 240074 [binary:193326,239995] ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 240076 [binary:193326,239995.2] ss^pv1(skf1(skf1(X))) | ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 240232 [binary:213107,240076.3] ss^pv1(skf1(skf1(X))) | ss^pv3(X) | ss^pv1(X).
% 240310 [binary:239904,240232.2] ss^pv1(skf1(skf1(skf1(X)))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 240396 [binary:193306,240310,binarycut:232297,binarycut:238631] -ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 240462 [binary:238669,240396] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 240486 [binary:193465,240462.2] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 240488 [binary:193510.3,240462.3] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 240585 [binary:193387,240486.2] ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 240624 [binary:213101.2,240585.2] ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 240960 [binary:213107,240074.2] ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 240998 [binary:193465,240960.2] ss^pv3(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 241004 [binary:239904,240960] ss^pv1(skf1(X)) | ss^pv1(X).
% 241005 [binary:239904,240960,binarydemod:193295] $spltprd1($spltcnst21,X) | ss^pv1(X).
% 241015 [binary:193326,241004] ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 241089 [binary:213107,241015.2] ss^pv3(X) | ss^pv1(X).
% 241101 [binary:193243.2,241089] $spltprd1($spltcnst24,X) | ss^pv1(X).
% 241114 [binary:193495,241089.2] ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 241167 [binary:193331,240998,binarycut:241089] -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv2(X) | ss^pv1(X).
% 241234 [binary:194449,241114] ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 241320 [binary:193306,241004,binarycut:241089] -ss^pv4(X) | -ss^pv2(X) | ss^pv1(X).
% 241375 [binary:240488,241320] -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 241605 [binary:193237,241167] -ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 241624 [binary:240624,241605] ss^pv2(X) | ss^pv1(X).
% 241635 [binary:193354,241624] ss^pv1(skf1(X)) | -ss^pv4(X) | -ss^pv2(X).
% 241664 [binary:241375,241624] ss^pv1(skf1(X)) | ss^pv4(X).
% 241763 [binary:241664.2,241635.2] ss^pv1(skf1(X)) | -ss^pv2(X).
% 241766 [binary:193518.4,241763.2] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv3(X).
% 241871 [binary:241320,241766,binarycut:241624] ss^pv1(skf1(X)) | ss^pv3(X).
% 241877 [binary:193339,241871] -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv4(Y) | ss^pv3(X).
% 242046 [binary:193237,241877] -ss^pv4(skf1(X)) | -ss^pv4(X) | ss^pv3(X).
% 242051 [binary:233302,242046] -ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))).
% 242089 [binary:199251,242051] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 242097 [binary:233302,242051] ss^pv3(skf1(skf1(skf1(X)))).
% 242226 [binary:216204,242089] ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 242230 [binary:241320,242089.2,binarycut:241624] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv2(X).
% 242302 [binary:241320,242226.2,binarycut:241624] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv2(X).
% 242327 [binary:241763.2,242230.3] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)).
% 242341 [binary:193377,242327,binarycut:241624] $spltprd1($spltcnst23,skf1(X)) | ss^pv1(skf1(X)).
% 242419 [binary:241763.2,242302.3] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)).
% 242423 [binary:193298,242419] $spltprd1($spltcnst22,skf1(X)) | ss^pv1(skf1(X)).
% 242431 [binary:193244,242423,binarycut:241101,binarycut:242341,binarycut:241005] ss^pv1(skf1(X)).
% 242433 [binary:193306,242431] -ss^pv4(X) | -ss^pv3(X) | -ss^pv2(X).
% 242459 [binary:233302,242433,cut:242097] -ss^pv2(skf1(skf1(skf1(X)))).
% 242467 [binary:241234,242459,binarycut:242051] ss^pv3(skf1(skf1(X))).
% 242468 [binary:242226,242459] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)).
% 242476 [binary:193416,242467,cut:242431] ss^pv2(skf1(skf1(X))) | ss^pv2(skf1(X)).
% 242513 [binary:242433,242468,cut:242467,binarycut:242476,slowcut:242459] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred 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: 125
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 43147
% derived clauses: 915909
% kept clauses: 100621
% kept size sum: 0
% kept mid-nuclei: 76378
% kept new demods: 0
% forw unit-subs: 12788
% forw double-subs: 54400
% forw overdouble-subs: 330416
% backward subs: 7085
% fast unit cutoff: 562
% full unit cutoff: 2383
% dbl unit cutoff: 355
% real runtime: 167.78
% process. runtime: 166.65
% specific non-discr-tree subsumption statistics:
% tried: 131857844
% length fails: 2539573
% strength fails: 27792793
% predlist fails: 90155304
% aux str. fails: 3251259
% by-lit fails: 822377
% full subs tried: 7110051
% full subs fail: 6762585
%
% ; 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/SYN755-1+noeq.in")
%
%------------------------------------------------------------------------------