TSTP Solution File: SYN759-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN759-1 : 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 : art06.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 149.1s
% Output : Assurance 149.1s
% 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/SYN759-1+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 19)
% (binary-unit 10 #f 2 19)
% (binary-double 16 #f 2 19)
% (binary 54 #t 2 19)
% (binary-order 27 #f 2 19)
% (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(51,40,0,105,0,0,849,50,6,903,0,6,152738,4,2006,163769,5,2608,163770,1,2608,163770,50,2609,163770,40,2609,163824,0,2609,173295,3,3110,174290,50,3273,174290,40,3273,174344,0,3273,186357,3,4076,188054,4,4474,189317,5,4874,189318,5,4874,189318,1,4874,189318,50,4874,189318,40,4874,189372,0,4874,190403,5,10314,190404,1,10315,190404,50,10315,190404,40,10315,190458,0,10315,194096,5,14200,194121,1,14326,194121,50,14326,194121,40,14326,194175,0,14326)
%
%
% START OF PROOF
% 194125 [] -ss^rr(V,W) | -ss^rr(V,Z) | -ss^rr(W,X1) | -ss^rr(Z,U) | -ss^rr(V,X) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(U) | ss^pv1(X1) | ss^pv1(V).
% 194127 [] -ss^rr(Z,W) | -ss^rr(Z,U) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv2(V) | -ss^pv1(W) | ss^pv4(Z).
% 194128 [] -ss^rr(Z,U) | -ss^rr(Z,W) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv3(W) | -ss^pv3(Y) | -ss^pv2(Z) | ss^pv2(V).
% 194129 [] -ss^rr(Z,W) | -ss^rr(Z,U) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv1(Z) | -ss^pv1(V) | ss^pv3(W).
% 194130 [] -ss^rr(Z,U) | -ss^rr(Z,W) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv4(W) | -ss^pv4(Y) | ss^pv3(V) | ss^pv1(Z).
% 194132 [] -ss^rr(Z,W) | -ss^rr(Z,U) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(V) | ss^pv4(W) | ss^pv2(Z).
% 194134 [] -ss^rr(Z,U) | -ss^rr(Z,W) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv1(W) | ss^pv4(V) | ss^pv4(Z).
% 194136 [] -ss^rr(Z,W) | -ss^rr(Z,U) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(V) | ss^pv4(Z) | ss^pv1(W).
% 194137 [] -ss^rr(Z,W) | -ss^rr(Z,U) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(V) | ss^pv4(W) | ss^pv2(Z).
% 194138 [] -ss^rr(Z,U) | -ss^rr(Z,W) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(Z) | ss^pv2(V) | ss^pv1(W).
% 194139 [] -ss^rr(X,V) | -ss^rr(Z,W) | -ss^rr(X,Z) | -ss^rr(Y,U) | -ss^rr(X,Y) | -ss^pv2(V) | ss^pv4(X) | ss^pv2(U) | ss^pv1(W).
% 194140 [] -ss^rr(Z,U) | -ss^rr(Z,W) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(V) | ss^pv3(W) | ss^pv1(Z).
% 194141 [] -ss^rr(Z,U) | -ss^rr(Z,W) | -ss^rr(Z,X) | -ss^rr(U,V) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(V) | ss^pv2(W) | ss^pv2(Z).
% 194143 [] -ss^rr(X,V) | -ss^rr(Z,W) | -ss^rr(X,Z) | -ss^rr(Y,U) | -ss^rr(X,Y) | ss^pv4(X) | ss^pv3(U) | ss^pv2(W) | ss^pv1(V).
% 194144 [] -ss^rr(X,V) | -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv4(Y) | -ss^pv4(U) | -ss^pv3(V) | ss^pv2(X).
% 194146 [] -ss^rr(X,V) | -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv4(Y) | -ss^pv3(V) | -ss^pv1(U) | ss^pv2(X).
% 194147 [] -ss^rr(V,X) | -ss^rr(V,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv2(U) | -ss^pv1(V) | ss^pv4(V) | ss^pv3(Y).
% 194148 [] -ss^rr(V,X) | -ss^rr(V,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv3(U) | -ss^pv2(Y) | ss^pv3(V) | ss^pv1(V).
% 194149 [] -ss^rr(V,X) | -ss^rr(V,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv2(V) | -ss^pv2(U) | ss^pv3(Y) | ss^pv1(V).
% 194150 [] -ss^rr(U,V) | -ss^rr(Z,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv4(Z) | -ss^pv1(Z) | ss^pv3(Y) | ss^pv2(V).
% 194152 [] -ss^rr(X,V) | -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv3(Y) | -ss^pv3(U) | ss^pv1(V) | ss^pv1(X).
% 194155 [] -ss^rr(Z,U) | -ss^rr(Z,V) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv4(Z) | -ss^pv2(V) | ss^pv3(Y) | ss^pv3(U).
% 194156 [] -ss^rr(V,X) | -ss^rr(V,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv4(U) | ss^pv3(Y) | ss^pv2(V) | ss^pv1(V).
% 194157 [] -ss^rr(Z,U) | -ss^rr(Z,V) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv3(V) | ss^pv4(Z) | ss^pv2(U) | ss^pv2(Y).
% 194158 [] -ss^rr(Z,U) | -ss^rr(Z,V) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv2(V) | ss^pv4(Z) | ss^pv4(Y) | ss^pv3(U).
% 194159 [] -ss^rr(X,V) | -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv1(U) | ss^pv3(Y) | ss^pv2(V) | ss^pv1(X).
% 194160 [] -ss^rr(U,V) | -ss^rr(Z,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv3(Z) | ss^pv4(Z) | ss^pv4(Y) | ss^pv1(V).
% 194161 [] -ss^rr(U,V) | -ss^rr(Z,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv1(Z) | ss^pv3(Z) | ss^pv3(Y) | ss^pv2(V).
% 194162 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(Y,Z) | -ss^pv4(Z) | -ss^pv3(X) | -ss^pv2(U) | ss^pv1(X).
% 194163 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(Y,Z) | -ss^pv4(X) | -ss^pv2(Z) | -ss^pv1(U) | ss^pv3(X).
% 194164 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv4(X) | -ss^pv3(Y) | ss^pv4(U) | ss^pv1(X).
% 194165 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv4(Y) | -ss^pv1(X) | ss^pv3(U) | ss^pv2(X).
% 194166 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv3(X) | ss^pv4(X) | ss^pv3(Y) | ss^pv3(U).
% 194167 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(X) | ss^pv2(U).
% 194169 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv1(Y) | ss^pv4(X) | ss^pv3(X) | ss^pv1(U).
% 194170 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | ss^pv3(X) | ss^pv2(X) | ss^pv2(Y) | ss^pv1(U).
% 194171 [] ss^rr(X,skf1(X)).
% 194172 [] -ss^rr(X,V) | -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^rr(Z,U) | -ss^pv4(Y) | -ss^pv3(V) | -ss^pv3(U) | -ss^pv1(X).
% 194173 [] $spltprd1($spltcnst11,X) | -ss^rr(Y,U) | -ss^rr(Y,X) | -ss^rr(Y,Z) | -ss^pv4(Z) | -ss^pv3(U) | -ss^pv1(Y).
% 194174 [] $spltprd1($spltcnst12,X) | -ss^rr(X,Y) | -ss^pv3(Y).
% 194175 [] -$spltprd1($spltcnst12,X) | -$spltprd1($spltcnst11,X).
% 194181 [input:194173,factor:factor:factor] $spltprd1($spltcnst11,X) | -ss^rr(Y,X) | -ss^pv4(X) | -ss^pv3(X) | -ss^pv1(Y).
% 194401 [input:194150,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv4(Z) | -ss^pv1(Z) | ss^pv3(Y) | ss^pv2(Y).
% 194428 [input:194160,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Z) | ss^pv4(Y) | ss^pv4(Z) | ss^pv1(Y).
% 194431 [input:194161,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv1(Z) | ss^pv3(Y) | ss^pv3(Z) | ss^pv2(Y).
% 194433 [input:194162,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Z) | -ss^pv3(X) | -ss^pv2(Y) | ss^pv1(X).
% 194435 [input:194163,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv2(Z) | -ss^pv1(Y) | ss^pv3(X).
% 194437 [input:194164,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv3(Y) | ss^pv4(Z) | ss^pv1(X).
% 194438 [input:194165,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv1(X) | ss^pv3(Z) | ss^pv2(X).
% 194440 [input:194166,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv3(X) | ss^pv4(X) | ss^pv3(Y) | ss^pv3(Z).
% 194441 [input:194167,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(X) | ss^pv2(Z).
% 194446 [input:194169,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(X) | ss^pv3(X) | ss^pv1(Z).
% 194448 [input:194170,factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | ss^pv3(X) | ss^pv2(Y) | ss^pv2(X) | ss^pv1(Z).
% 194540 [input:194125,factor:factor:factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv3(Z) | -ss^pv2(Z) | ss^pv1(Z) | ss^pv1(X).
% 194606 [input:194127,factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv2(Y) | -ss^pv1(X) | ss^pv4(Z).
% 194614 [input:194128,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv3(X) | -ss^pv2(Z) | ss^pv2(Y).
% 194621 [input:194129,factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv1(Z) | -ss^pv1(Y) | ss^pv3(X).
% 194632 [input:194130,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv4(X) | ss^pv3(Y) | ss^pv1(Z).
% 194648 [input:194132,factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(Z).
% 194666 [input:194134,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv1(X) | ss^pv4(Y) | ss^pv4(Z).
% 194688 [input:194136,factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(Y) | ss^pv4(Z) | ss^pv1(X).
% 194699 [input:194137,factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(Y) | ss^pv4(X) | ss^pv2(Z).
% 194715 [input:194138,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(Z) | ss^pv2(Y) | ss^pv1(X).
% 194728 [input:194139,factor:factor:factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv2(X) | ss^pv4(Z) | ss^pv2(Y) | ss^pv1(Y).
% 194737 [input:194140,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(Y) | ss^pv3(X) | ss^pv1(Z).
% 194751 [input:194141,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(Y) | ss^pv2(X) | ss^pv2(Z).
% 194778 [input:194143,factor:factor:factor:factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | ss^pv4(Z) | ss^pv3(Y) | ss^pv2(Y) | ss^pv1(X).
% 194787 [input:194144,factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Z) | -ss^pv4(Y) | -ss^pv3(Y) | ss^pv2(X).
% 194797 [input:194146,factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(Y) | -ss^pv1(Z) | ss^pv2(X).
% 194804 [input:194147,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(Z) | ss^pv4(Z) | ss^pv3(Y).
% 194806 [input:194148,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv3(Y) | -ss^pv2(Y) | ss^pv3(Z) | ss^pv1(Z).
% 194811 [input:194149,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv2(Z) | ss^pv3(Y) | ss^pv1(Z).
% 194817 [input:194152,factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv3(Z) | -ss^pv3(Y) | ss^pv1(Y) | ss^pv1(X).
% 194826 [input:194155,factor:factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv2(Y) | ss^pv3(Z) | ss^pv3(Y).
% 194836 [input:194156,factor:factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv3(Y) | ss^pv2(Z) | ss^pv1(Z).
% 194839 [input:194157,factor:factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(Y) | ss^pv2(Z).
% 194846 [input:194158,factor:factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv4(X) | ss^pv4(Z) | ss^pv3(Y).
% 194852 [input:194159,factor:factor:factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv1(Z) | ss^pv3(Y) | ss^pv2(Y) | ss^pv1(X).
% 195061 [binary:194171,194174.2] -ss^pv3(skf1(X)) | $spltprd1($spltcnst12,X).
% 195064 [binary:194171,194172] -ss^pv3(skf1(X)) | -ss^rr(X,Z) | -ss^rr(Y,U) | -ss^rr(X,Y) | -ss^pv4(Z) | -ss^pv3(U) | -ss^pv1(X).
% 195161 [binary:194171,194181.2] $spltprd1($spltcnst11,skf1(X)) | -ss^pv4(skf1(X)) | -ss^pv3(skf1(X)) | -ss^pv1(X).
% 195183 [binary:194171,194401] -ss^rr(skf1(X),Y) | -ss^pv4(X) | -ss^pv1(X) | ss^pv3(Y) | ss^pv2(Y).
% 195185 [binary:194171,195183] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | -ss^pv4(X) | -ss^pv1(X).
% 195197 [binary:194171,194428] -ss^rr(skf1(X),Y) | -ss^pv3(X) | ss^pv4(X) | ss^pv4(Y) | ss^pv1(Y).
% 195199 [binary:194171,195197] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | -ss^pv3(X) | ss^pv4(X).
% 195204 [binary:194171,194431] -ss^rr(skf1(X),Y) | -ss^pv1(X) | ss^pv3(X) | ss^pv3(Y) | ss^pv2(Y).
% 195206 [binary:194171,195204] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | -ss^pv1(X) | ss^pv3(X).
% 195215 [binary:194171,194433] -ss^pv4(skf1(X)) | -ss^rr(Y,X) | -ss^pv3(Y) | -ss^pv2(X) | ss^pv1(Y).
% 195219 [binary:194171,194435] -ss^pv2(skf1(X)) | -ss^rr(Y,X) | -ss^pv4(Y) | -ss^pv1(X) | ss^pv3(Y).
% 195224 [binary:194171,194437] ss^pv4(skf1(X)) | -ss^rr(Y,X) | -ss^pv4(Y) | -ss^pv3(X) | ss^pv1(Y).
% 195226 [binary:194171,195224.2] ss^pv4(skf1(skf1(X))) | -ss^pv3(skf1(X)) | -ss^pv4(X) | ss^pv1(X).
% 195231 [binary:194171,194438] ss^pv3(skf1(X)) | -ss^rr(Y,X) | -ss^pv4(X) | -ss^pv1(Y) | ss^pv2(Y).
% 195234 [binary:194171,195231.2] ss^pv3(skf1(skf1(X))) | -ss^pv4(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 195242 [binary:194171,194440] ss^pv3(skf1(X)) | -ss^rr(Y,X) | -ss^pv3(Y) | ss^pv4(Y) | ss^pv3(X).
% 195245 [binary:194171,195242.2] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv3(X) | ss^pv4(X).
% 195255 [binary:194171,194441] ss^pv2(skf1(X)) | -ss^rr(Y,X) | -ss^pv3(X) | ss^pv4(Y) | ss^pv2(Y).
% 195257 [binary:194171,195255.2] ss^pv2(skf1(skf1(X))) | -ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 195267 [binary:194171,194446] ss^pv1(skf1(X)) | -ss^rr(Y,X) | -ss^pv1(X) | ss^pv4(Y) | ss^pv3(Y).
% 195269 [binary:194171,195267.2] ss^pv1(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv3(X).
% 195274 [binary:194171,194448] ss^pv1(skf1(X)) | -ss^rr(Y,X) | ss^pv3(Y) | ss^pv2(Y) | ss^pv2(X).
% 195278 [binary:194171,195274.2] ss^pv1(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv2(X).
% 195296 [binary:195199.3,195278.3] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 195332 [binary:194171,194540] -ss^pv3(skf1(X)) | -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | -ss^rr(Y,X) | ss^pv1(Y).
% 195337 [binary:194171,194606] -ss^rr(skf1(X),Y) | -ss^pv1(skf1(X)) | -ss^pv4(Y) | -ss^pv2(Y) | ss^pv4(X).
% 195339 [binary:194171,195337] -ss^pv4(skf1(skf1(X))) | -ss^pv2(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv4(X).
% 195342 [binary:194171,194614] -ss^rr(skf1(X),Y) | -ss^pv3(skf1(X)) | -ss^pv3(Y) | -ss^pv2(X) | ss^pv2(Y).
% 195347 [binary:194171,195342] -ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | -ss^pv3(skf1(X)) | -ss^pv2(X).
% 195352 [binary:194171,194621] -ss^rr(skf1(X),Y) | ss^pv3(skf1(X)) | -ss^pv3(Y) | -ss^pv1(Y) | -ss^pv1(X).
% 195355 [binary:194171,195352] -ss^pv3(skf1(skf1(X))) | -ss^pv1(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv1(X).
% 195368 [binary:194171,194632] -ss^rr(skf1(X),Y) | -ss^pv4(skf1(X)) | -ss^pv4(Y) | ss^pv3(Y) | ss^pv1(X).
% 195372 [binary:194171,195368] -ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | -ss^pv4(skf1(X)) | ss^pv1(X).
% 195378 [binary:194171,194648] -ss^rr(skf1(X),Y) | ss^pv4(skf1(X)) | -ss^pv4(Y) | -ss^pv3(Y) | ss^pv2(X).
% 195383 [binary:194171,195378] -ss^pv4(skf1(skf1(X))) | -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 195387 [binary:194171,194666] -ss^rr(skf1(X),Y) | -ss^pv1(skf1(X)) | -ss^pv3(Y) | ss^pv4(Y) | ss^pv4(X).
% 195389 [binary:194171,195387] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv4(X).
% 195399 [binary:194171,194688] -ss^rr(skf1(X),Y) | ss^pv1(skf1(X)) | -ss^pv3(Y) | -ss^pv2(Y) | ss^pv4(X).
% 195404 [binary:194171,195399] -ss^pv3(skf1(skf1(X))) | -ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 195409 [binary:194171,194699] -ss^rr(skf1(X),Y) | ss^pv4(skf1(X)) | -ss^pv2(Y) | -ss^pv1(Y) | ss^pv2(X).
% 195411 [binary:194171,195409] -ss^pv2(skf1(skf1(X))) | -ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 195419 [binary:194171,194715] -ss^rr(skf1(X),Y) | ss^pv1(skf1(X)) | -ss^pv3(Y) | ss^pv4(X) | ss^pv2(Y).
% 195421 [binary:194171,195419] -ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 195425 [binary:194171,194728] -ss^rr(skf1(X),Y) | -ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv2(Y) | ss^pv1(Y).
% 195434 [binary:194171,195425] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | -ss^pv2(skf1(X)) | ss^pv4(X).
% 195442 [binary:194171,194737] -ss^rr(skf1(X),Y) | ss^pv3(skf1(X)) | -ss^pv1(Y) | ss^pv4(Y) | ss^pv1(X).
% 195447 [binary:194171,195442] -ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(X).
% 195489 [binary:194171,194751] -ss^rr(skf1(X),Y) | ss^pv2(skf1(X)) | -ss^pv3(Y) | ss^pv4(Y) | ss^pv2(X).
% 195491 [binary:194171,195489] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv2(X).
% 195514 [binary:194171,194778] -ss^rr(skf1(X),Y) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv3(Y) | ss^pv2(Y).
% 195516 [binary:194171,195514] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 195566 [binary:195421,195516] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 195585 [binary:195269.2,195566.2] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X).
% 195614 [binary:195199.3,195585.4] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X).
% 195680 [binary:194171,194787] -ss^pv4(skf1(X)) | -ss^rr(Y,X) | -ss^pv4(X) | -ss^pv3(X) | ss^pv2(Y).
% 195701 [binary:194171,194797] -ss^pv1(skf1(X)) | -ss^rr(Y,X) | -ss^pv4(X) | -ss^pv3(X) | ss^pv2(Y).
% 195705 [binary:195278,195701,factor:factor:cut:194171] -ss^pv4(skf1(X)) | -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv2(X).
% 195734 [binary:194171,194804] -ss^rr(skf1(X),Y) | -ss^pv2(Y) | -ss^pv1(X) | ss^pv4(X) | ss^pv3(Y).
% 195738 [binary:194171,195734] -ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | -ss^pv1(X) | ss^pv4(X).
% 195747 [binary:195566,195738] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | -ss^pv1(X) | ss^pv4(X).
% 195781 [binary:194171,194806] -ss^rr(skf1(X),Y) | -ss^pv3(Y) | -ss^pv2(Y) | ss^pv3(X) | ss^pv1(X).
% 195783 [binary:194171,195781] -ss^pv3(skf1(skf1(X))) | -ss^pv2(skf1(skf1(X))) | ss^pv3(X) | ss^pv1(X).
% 195789 [binary:194171,194811] -ss^rr(skf1(X),Y) | -ss^pv2(X) | -ss^pv2(Y) | ss^pv3(Y) | ss^pv1(X).
% 195791 [binary:194171,195789] -ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | -ss^pv2(X) | ss^pv1(X).
% 195799 [binary:195566,195791] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv1(X).
% 195837 [binary:194171,194817] -ss^pv3(skf1(X)) | -ss^rr(Y,X) | -ss^pv3(X) | ss^pv1(X) | ss^pv1(Y).
% 195878 [binary:194171,194826] ss^pv3(skf1(X)) | -ss^rr(Y,X) | -ss^pv4(Y) | -ss^pv2(X) | ss^pv3(X).
% 195881 [binary:194171,195878.2] ss^pv3(skf1(skf1(X))) | -ss^pv2(skf1(X)) | ss^pv3(skf1(X)) | -ss^pv4(X).
% 195911 [binary:194171,194836] -ss^rr(skf1(X),Y) | -ss^pv4(Y) | ss^pv3(Y) | ss^pv2(X) | ss^pv1(X).
% 195913 [binary:194171,195911] -ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | ss^pv2(X) | ss^pv1(X).
% 195930 [binary:194171,194839] ss^pv2(skf1(X)) | -ss^rr(Y,X) | -ss^pv3(X) | ss^pv4(Y) | ss^pv2(X).
% 195932 [binary:194171,195930.2] ss^pv2(skf1(skf1(X))) | -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X).
% 195934 [binary:195278.3,195932.2] ss^pv1(skf1(skf1(skf1(X)))) | ss^pv2(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X).
% 195936 [binary:194171,194846] ss^pv4(skf1(X)) | -ss^rr(Y,X) | -ss^pv2(X) | ss^pv4(Y) | ss^pv3(X).
% 195938 [binary:194171,195936.2] ss^pv4(skf1(skf1(X))) | -ss^pv2(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X).
% 195979 [binary:194171,194852] -ss^pv1(skf1(X)) | -ss^rr(Y,X) | ss^pv3(X) | ss^pv2(X) | ss^pv1(Y).
% 196250 [binary:195447,195614.3] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv1(X).
% 196671 [binary:195938.2,195296.3] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 196996 [binary:195257.2,196250.3] ss^pv4(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(X) | ss^pv2(X) | ss^pv1(X).
% 197141 [binary:195913,196996] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(X) | ss^pv2(X) | ss^pv1(X).
% 197190 [binary:195206.3,197141.5] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 197411 [binary:195738,197190.2] ss^pv3(skf1(skf1(X))) | -ss^pv1(X) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 197737 [binary:195447,196671.2] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X) | ss^pv1(X).
% 197907 [binary:195913,197737] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X) | ss^pv1(X).
% 198104 [binary:195799.3,197907.4] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv1(X).
% 198200 [binary:197411.2,197907.5] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv3(X) | ss^pv2(X).
% 198277 [binary:195245.3,198200.4] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 198444 [binary:195257.2,198277.2] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(X) | ss^pv2(X).
% 198452 [binary:195355,198277] -ss^pv1(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv1(X) | ss^pv4(X) | ss^pv2(X).
% 198697 [binary:195185.3,198444.3] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | -ss^pv1(X) | ss^pv2(X).
% 198853 [binary:196671.2,198452] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv1(X) | ss^pv4(X) | ss^pv2(X).
% 198872 [binary:197737.5,198853.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 198923 [binary:195383,198872] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 199763 [binary:195747.3,198104.5] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 199819 [binary:195404,199763] -ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 199857 [binary:195566,199819] ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 199906 [binary:195332,199857] -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | -ss^rr(Y,X) | ss^pv4(X) | ss^pv1(Y).
% 200398 [binary:198277,198923] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 200425 [binary:195257.2,200398.2] ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 200440 [binary:195491,200398.2] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 200535 [binary:195411,200425] -ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 200572 [binary:199857.2,200535] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 200612 [binary:195389,200572] ss^pv4(skf1(skf1(X))) | -ss^pv1(skf1(X)) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 200613 [binary:195404,200572] -ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 200635 [binary:195799.3,200572.4] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv1(X).
% 200712 [binary:195383,200440] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 201812 [binary:195566,200613] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 201852 [binary:200612.2,201812.2] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 201867 [binary:195383,201852] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 201896 [binary:200572,201867] ss^pv4(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 202094 [binary:195747.3,200635.5] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 202147 [binary:195404,202094] -ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 202174 [binary:195566,202147] ss^pv4(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X).
% 202189 [binary:195383,202174] -ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 202191 [binary:195447,202174.2] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv1(X).
% 202281 [binary:195215,202191,factor:cut:194171] -ss^pv2(skf1(X)) | ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 202286 [binary:195226.2,202191.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^pv4(X) | ss^pv1(X).
% 202365 [binary:201896.2,202286.3] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 202385 [binary:195383,202365] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 202394 [binary:195913,202365] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 202506 [binary:198697.3,202394.4] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 202521 [binary:202385,202394] ss^pv4(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 202532 [binary:195680,202521] -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(Y) | ss^pv2(X) | ss^pv2(Y) | ss^pv1(Y).
% 202667 [binary:199857,202189] ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 202851 [binary:195411,202506.2] -ss^pv1(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 202928 [binary:200712,202506] ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 202947 [binary:195411,202928] -ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 203009 [binary:202667,202947] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 203030 [binary:195705,203009] -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv2(X).
% 203068 [binary:198277,203030] ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 203115 [binary:194171,202532] -ss^pv4(skf1(X)) | -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv2(X).
% 203223 [binary:199857.2,202851] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 203250 [binary:195234.2,203223.2] ss^pv3(skf1(skf1(X))) | -ss^pv1(X) | ss^pv2(X).
% 204480 [binary:195257.2,203068.2] ss^pv2(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 204550 [binary:195434.3,204480.2] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X) | ss^pv2(X).
% 205133 [binary:203009,203115] -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv2(X).
% 205136 [binary:199857,205133] ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 205154 [binary:199906,205136] ss^pv1(skf1(X)) | -ss^rr(Y,X) | ss^pv4(X) | ss^pv2(X) | ss^pv1(Y).
% 205158 [binary:194171,205154.2] ss^pv1(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(X).
% 205275 [binary:195979,205158,factor:cut:194171] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(X).
% 205348 [binary:202281,205275.3] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 205364 [binary:199857,205348.3] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 205540 [binary:195404,205364.2] -ss^pv2(skf1(skf1(X))) | ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 205549 [binary:195913,205364] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv2(X) | ss^pv1(X).
% 205576 [binary:195566,205540] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 205587 [binary:195269.2,205576.2] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X) | ss^pv3(X).
% 205613 [binary:195199.3,205587.4] ss^pv4(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X).
% 205737 [binary:195799.3,205549.4] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X) | ss^pv1(X).
% 205878 [binary:195747.3,205737.4] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 205928 [binary:195404,205878] -ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv4(X).
% 205962 [binary:195566,205928] ss^pv1(skf1(X)) | ss^pv4(X).
% 205971 [binary:195339,205962.2,binarycut:205962] ss^pv1(skf1(skf1(skf1(X)))) | -ss^pv2(skf1(skf1(X))) | ss^pv4(X).
% 206185 [binary:195934.2,205971.2] ss^pv1(skf1(skf1(skf1(X)))) | ss^pv2(skf1(X)) | ss^pv4(X).
% 206237 [binary:198452,206185,binarycut:205962] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X).
% 206811 [binary:195339,205613,binarycut:205962] -ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X).
% 206817 [binary:204550,206811] ss^pv1(skf1(skf1(X))) | ss^pv4(X) | ss^pv2(X).
% 206830 [binary:195701,206817,factor:cut:194171] -ss^pv4(skf1(X)) | -ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 206860 [binary:201896,206830] -ss^pv3(skf1(X)) | ss^pv4(X) | ss^pv2(X).
% 206862 [binary:198277.2,206860] ss^pv3(skf1(skf1(X))) | ss^pv4(X) | ss^pv2(X).
% 206867 [binary:206237,206860] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv4(X).
% 207002 [binary:195411,206867.2,binarycut:205962] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 207059 [binary:195383,207002] -ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv2(X).
% 207099 [binary:203223,207059] ss^pv4(skf1(X)) | ss^pv2(X).
% 207111 [binary:195339,207099,binarycut:205962] -ss^pv2(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X).
% 207115 [binary:195680,207099] -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(Y) | ss^pv2(X) | ss^pv2(Y).
% 207127 [binary:195913,207099] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 207128 [binary:195938.2,207099.2] ss^pv4(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X).
% 207212 [binary:195339,207128,binarycut:205962] -ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X).
% 207453 [binary:194171,207115,binarycut:207099] -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 207520 [binary:203250.2,207127.4] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv2(X).
% 207564 [binary:195881.2,207520.2] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv4(X) | ss^pv2(X).
% 207784 [binary:206862.2,207564.3] ss^pv3(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv2(X).
% 207821 [binary:195355,207784] -ss^pv1(skf1(skf1(X))) | ss^pv3(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 208099 [binary:206185,207821,binarycut:205962] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X).
% 208147 [binary:207453,208099] ss^pv2(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv4(X).
% 208160 [binary:195434.3,208147.2] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(skf1(X))) | ss^pv4(X).
% 208180 [binary:207111,208147] ss^pv2(skf1(X)) | ss^pv4(X).
% 208192 [binary:195219,208180] -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv1(Y) | ss^pv4(Y) | ss^pv3(X).
% 208201 [binary:195791,208180] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 208212 [binary:207212,208180] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv4(X).
% 208248 [binary:195389,208212.2,binarycut:205962] ss^pv4(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv4(X).
% 208410 [binary:195339,208248,binarycut:208180,binarycut:205962] ss^pv4(skf1(X)) | ss^pv4(X).
% 208423 [binary:195215,208410] -ss^rr(X,Y) | -ss^pv3(X) | -ss^pv2(Y) | ss^pv4(Y) | ss^pv1(X).
% 208482 [binary:206811,208160] ss^pv1(skf1(skf1(X))) | ss^pv4(X).
% 208512 [binary:194171,208192] -ss^pv1(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv4(X) | ss^pv3(X).
% 208532 [binary:207099.2,208201.3] ss^pv3(skf1(skf1(X))) | ss^pv4(skf1(X)) | ss^pv1(X).
% 208554 [binary:195783,208532,binarycut:208180] ss^pv4(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 208571 [binary:206860,208532] ss^pv4(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(X).
% 208607 [binary:205348.3,208554.2] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | ss^pv1(X).
% 208638 [binary:195913,208607] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv2(X) | ss^pv1(X).
% 208756 [binary:194171,208423] -ss^pv2(skf1(X)) | ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 208762 [binary:208571.2,208756] ss^pv4(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 208768 [binary:208554.2,208762.2] ss^pv4(skf1(X)) | ss^pv1(X).
% 208793 [binary:195215,208768] -ss^rr(X,Y) | -ss^pv3(X) | -ss^pv2(Y) | ss^pv1(X) | ss^pv1(Y).
% 208795 [binary:195680,208768] -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(Y) | ss^pv2(X) | ss^pv1(Y).
% 208878 [binary:203250.2,208638.4] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv2(X).
% 209172 [binary:194171,208793] -ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 209196 [binary:194171,208795,binarycut:207099] -ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv2(X).
% 209198 [binary:207520,209196] ss^pv1(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv2(X).
% 209223 [binary:207821,209198] ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv1(X) | ss^pv2(X).
% 209261 [binary:195372,207099,binarycut:208768] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv1(X).
% 209286 [binary:195837,209261,factor:cut:194171] -ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 209308 [binary:209196,209261] ss^pv1(skf1(skf1(X))) | ss^pv2(skf1(X)) | ss^pv1(X).
% 209336 [binary:195979,209308,factor:cut:194171] ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv1(X).
% 209354 [binary:195791,209336.2] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | -ss^pv2(X) | ss^pv1(X).
% 209373 [binary:209223.3,209336.3] ss^pv3(skf1(X)) | ss^pv2(skf1(X)) | ss^pv2(X).
% 209438 [binary:207453,209373] ss^pv2(skf1(X)) | ss^pv2(X).
% 209443 [binary:195219,209438] -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv1(Y) | ss^pv3(X) | ss^pv2(Y).
% 209537 [binary:195783,209261,binarycut:209438] ss^pv2(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 209587 [binary:209336,209286] ss^pv2(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 209596 [binary:209172,209587] ss^pv1(skf1(X)) | -ss^pv3(X) | ss^pv1(X).
% 209843 [binary:208878.3,209354.3] ss^pv3(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 209855 [binary:195837,209843,factor:cut:194171] -ss^pv3(skf1(X)) | ss^pv1(skf1(X)) | ss^pv1(X).
% 209873 [binary:209537.2,209855] ss^pv2(skf1(skf1(X))) | ss^pv1(skf1(X)) | ss^pv1(X).
% 210002 [binary:194171,209443] -ss^pv1(skf1(X)) | ss^pv2(skf1(X)) | -ss^pv4(X) | ss^pv3(X).
% 210007 [binary:208482,210002,binarycut:208410] ss^pv2(skf1(skf1(X))) | ss^pv3(skf1(X)) | ss^pv4(X).
% 210079 [binary:207212,210007] ss^pv3(skf1(X)) | ss^pv4(X).
% 210122 [binary:195355,210079,binarycut:205962] ss^pv4(skf1(X)) | ss^pv3(skf1(X)) | -ss^pv1(X).
% 210143 [binary:206860,210079] ss^pv4(X) | ss^pv2(X).
% 210205 [binary:208768.2,210122.3] ss^pv4(skf1(X)) | ss^pv3(skf1(X)).
% 210219 [binary:195372,210205,binarycut:208768] ss^pv3(skf1(skf1(X))) | ss^pv1(X).
% 210222 [binary:195389,210205.2,binarycut:205962] ss^pv4(skf1(skf1(X))) | ss^pv4(X).
% 210239 [binary:195206.3,210219.2] ss^pv3(skf1(skf1(X))) | ss^pv2(skf1(skf1(X))) | ss^pv3(X).
% 210252 [binary:195783,210219] -ss^pv2(skf1(skf1(X))) | ss^pv3(X) | ss^pv1(X).
% 210261 [binary:203250.2,210219.2] ss^pv3(skf1(skf1(X))) | ss^pv2(X).
% 210262 [binary:203250.2,210219.2,binarydemod:195061] $spltprd1($spltcnst12,skf1(X)) | ss^pv2(X).
% 210280 [binary:195339,210222,binarycut:205962] -ss^pv2(skf1(skf1(X))) | ss^pv4(X).
% 210327 [binary:194175,210262] -$spltprd1($spltcnst11,skf1(X)) | ss^pv2(X).
% 210340 [binary:209873,210252] ss^pv1(skf1(X)) | ss^pv3(X) | ss^pv1(X).
% 210364 [binary:209596.2,210340.2] ss^pv1(skf1(X)) | ss^pv1(X).
% 210630 [binary:195347,210239,binarydemod:210079,210280] -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 210657 [binary:210143.2,210630] ss^pv4(X) | ss^pv3(X).
% 210663 [binary:195347,210219,binarydemod:210079,binarycut:210280] -ss^pv2(X) | ss^pv4(X) | ss^pv1(X).
% 210664 [binary:210143.2,210663] ss^pv4(X) | ss^pv1(X).
% 210718 [binary:208512,210664.2,binarycut:210657] ss^pv4(skf1(X)) | ss^pv3(X).
% 210731 [binary:195226.2,210718.2,binarycut:210664] ss^pv4(skf1(skf1(X))) | ss^pv1(X).
% 210747 [binary:195161.2,210731,binarycut:210219,binarycut:210364,binarydemod:210327] ss^pv2(skf1(X)) | ss^pv1(X).
% 210752 [binary:195215,210731,binarycut:210747,factor:cut:194171] -ss^pv3(X) | ss^pv1(X).
% 210766 [binary:210219,210752] ss^pv1(skf1(skf1(X))) | ss^pv1(X).
% 210767 [binary:210261,210752] ss^pv1(skf1(skf1(X))) | ss^pv2(X).
% 210798 [binary:195701,210767,binarycut:207099,factor:cut:194171] -ss^pv3(skf1(X)) | ss^pv2(X).
% 210807 [binary:207821,210767,binarycut:210798] -ss^pv1(X) | ss^pv2(X).
% 210812 [binary:208482,210807,binarycut:210280] ss^pv4(X).
% 210813 [binary:210766,210807] ss^pv2(skf1(skf1(X))) | ss^pv1(X).
% 210831 [binary:210252,210813,binarycut:210752] ss^pv1(X).
% 210833 [binary:210807,210831] ss^pv2(X).
% 210837 [binary:195219,210833,cut:210812,cut:210831,slowcut:194171] ss^pv3(X).
% 210842 [binary:195064,210837,cut:210812,cut:210837,cut:210831,slowcut:194171,slowcut:194171,slowcut:194171] 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
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 11206
% derived clauses: 473647
% kept clauses: 30853
% kept size sum: 602245
% kept mid-nuclei: 156300
% kept new demods: 0
% forw unit-subs: 9
% forw double-subs: 3383
% forw overdouble-subs: 84347
% backward subs: 2344
% fast unit cutoff: 266
% full unit cutoff: 61
% dbl unit cutoff: 516
% real runtime: 151.56
% process. runtime: 150.46
% specific non-discr-tree subsumption statistics:
% tried: 46042678
% length fails: 601032
% strength fails: 9503719
% predlist fails: 29361878
% aux str. fails: 738475
% by-lit fails: 476217
% full subs tried: 5316473
% full subs fail: 5221760
%
% ; 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/SYN759-1+noeq.in")
%
%------------------------------------------------------------------------------