TSTP Solution File: SYN796-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN796-1 : 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 : art08.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 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/SYN796-1+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(52,40,1,109,0,1,113974,4,2034,132891,5,2702,132895,1,2702,132895,50,2702,132895,40,2702,132952,0,2702,134693,50,2710,134750,0,2710,137177,50,2728,137234,0,2728,139661,50,2744,139718,0,2744,142145,50,2761,142202,0,2761,144629,50,2778,144686,0,2778,147113,50,2795,147170,0,2795,149597,50,2812,149654,0,2812,152081,50,2830,152138,0,2830,154565,50,2847,154622,0,2848,157049,50,2865,157106,0,2865,159533,50,2881,159590,0,2881,162017,50,2899,162074,0,2899,164501,50,2917,164558,0,2917,166985,50,2935,167042,0,2935,169469,50,2951,169526,0,2951,171953,50,2969,172010,0,2970,174437,50,2988,174494,0,2988,176921,50,3006,176978,0,3006,179405,50,3023,179462,0,3023,181889,50,3043,181889,40,3043,181946,0,3043,187188,50,3224,187245,0,3224,196391,50,3826,196448,0,3826,204790,3,4227,205923,4,4427,206506,50,4562,206506,40,4562,206563,0,4562,227044,3,7264,231282,4,8613,239337,1,9963,239337,50,9963,239337,40,9963,239394,0,9963,250738,3,11426,254599,4,11989,258055,5,12666,258057,1,12667,258057,50,12667,258057,40,12667,258114,0,12667)
%
%
% START OF PROOF
% 258058 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv1(U) | -ss^pv3(X) | -ss^pv3(Y) | ss^pv4(Z).
% 258059 [] -ss^rr(Y,U) | -ss^rr(X,Y) | -ss^rr(Z,Y) | -ss^pv4(Z) | -ss^pv3(U) | -ss^pv3(X) | ss^pv1(Y).
% 258062 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv1(X) | -ss^pv1(U) | -ss^pv3(Y) | ss^pv3(Z).
% 258063 [] -ss^rr(U,Y) | -ss^rr(X,Y) | -ss^rr(Z,Y) | -ss^pv4(Z) | -ss^pv1(U) | -ss^pv3(X) | ss^pv2(Y).
% 258064 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv2(X) | -ss^pv2(Z) | -ss^pv3(Y) | ss^pv1(U).
% 258065 [] -ss^rr(Y,U) | -ss^rr(X,Y) | -ss^rr(Z,Y) | -ss^pv2(Y) | -ss^pv2(Z) | -ss^pv1(U) | ss^pv3(X).
% 258066 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(X,Z) | -ss^pv2(Z) | -ss^pv1(Y) | -ss^pv3(X) | ss^pv1(U).
% 258067 [] -ss^rr(Y,U) | -ss^rr(X,Y) | -ss^rr(Z,Y) | -ss^pv4(U) | -ss^pv1(Z) | ss^pv2(Y) | ss^pv4(X).
% 258071 [] -ss^rr(X,U) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv1(Y) | ss^pv2(X) | ss^pv4(U) | ss^pv4(Z).
% 258074 [] -ss^rr(U,X) | -ss^rr(X,Y) | -ss^rr(Z,X) | -ss^pv1(X) | ss^pv2(U) | ss^pv4(Y) | ss^pv3(Z).
% 258076 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X) | -ss^pv3(X) | ss^pv1(Z).
% 258077 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | -ss^pv1(Z) | -ss^pv3(Y) | ss^pv3(X).
% 258078 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(X) | -ss^pv1(Y) | -ss^pv3(X) | ss^pv4(Z).
% 258079 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv4(Z) | -ss^pv3(Y) | ss^pv4(X).
% 258080 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Z) | -ss^pv4(Y) | ss^pv2(X) | ss^pv1(X).
% 258081 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv4(Z) | ss^pv1(X) | ss^pv1(Y).
% 258082 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(Z) | ss^pv2(X) | ss^pv3(X).
% 258083 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Z) | -ss^pv1(Y) | ss^pv2(X) | ss^pv2(Y).
% 258084 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv2(Z) | -ss^pv3(Y) | ss^pv2(X) | ss^pv2(Y).
% 258086 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv1(X) | -ss^pv3(Y) | ss^pv1(Z) | ss^pv3(X).
% 258087 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv4(Y) | -ss^pv3(X) | ss^pv2(Z) | ss^pv3(Y).
% 258088 [] -ss^rr(Z,Y) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(Y) | ss^pv2(Z) | ss^pv3(X).
% 258091 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv2(X) | ss^pv2(Z) | ss^pv1(Y) | ss^pv3(Y).
% 258092 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(X) | ss^pv4(Z) | ss^pv1(X).
% 258094 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv4(Z) | ss^pv1(Y) | ss^pv1(X).
% 258095 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv3(Y) | ss^pv2(Z) | ss^pv4(X) | ss^pv1(Y).
% 258096 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv2(X) | ss^pv2(Y) | ss^pv2(Z) | ss^pv3(Y).
% 258097 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv2(Z) | ss^pv4(X) | ss^pv3(X).
% 258098 [] -ss^rr(Z,Y) | -ss^rr(X,Y) | -ss^pv4(X) | ss^pv4(Y) | ss^pv3(Y) | ss^pv3(Z).
% 258100 [] -ss^rr(Y,Z) | -ss^rr(X,Y) | ss^pv2(Y) | ss^pv2(Z) | ss^pv4(X) | ss^pv1(Y).
% 258102 [] -ss^rr(X,Y) | -ss^pv4(Y) | ss^pv2(X) | ss^pv1(Y) | ss^pv3(Y).
% 258103 [] -ss^rr(X,Y) | -ss^pv2(Y) | ss^pv2(X) | ss^pv4(Y) | ss^pv1(Y).
% 258104 [] -ss^rr(X,Y) | -ss^pv4(X) | ss^pv2(X) | ss^pv1(Y) | ss^pv3(X).
% 258105 [] -ss^rr(X,Y) | ss^pv4(X) | ss^pv1(X) | ss^pv3(X) | ss^pv3(Y).
% 258106 [] ss^rr(X,skf2(X)).
% 258107 [] ss^rr(skf3(X),X).
% 258108 [] -ss^rr(Y,U) | -ss^rr(X,Y) | -ss^rr(Z,Y) | -ss^pv2(Z) | -ss^pv1(U) | -ss^pv1(Y) | -ss^pv1(X).
% 258109 [] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv4(X) | -ss^pv1(X) | -ss^pv1(Z).
% 258110 [] $spltprd1($spltcnst45,X) | -ss^rr(X,Y) | -ss^pv1(Y).
% 258111 [] $spltprd1($spltcnst46,X) | -ss^rr(Y,X) | -ss^pv1(Y).
% 258112 [] $spltprd1($spltcnst47,X) | -ss^rr(Y,X) | -ss^pv2(Y).
% 258113 [] $spltprd1($spltcnst48,X) | -ss^pv1(X).
% 258114 [] -$spltprd1($spltcnst46,X) | -$spltprd1($spltcnst45,X) | -$spltprd1($spltcnst48,X) | -$spltprd1($spltcnst47,X).
% 258119 [input:258109,factor] -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv4(X) | -ss^pv1(X) | -ss^pv1(Y).
% 258120 [input:258058,factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv1(Y) | -ss^pv3(Y) | -ss^pv3(X) | ss^pv4(Z).
% 258131 [input:258062,factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv1(Y) | -ss^pv1(X) | -ss^pv3(Y) | ss^pv3(Z).
% 258133 [input:258063,factor] -ss^rr(Z,Y) | -ss^rr(X,Y) | -ss^pv4(Z) | -ss^pv1(X) | -ss^pv3(X) | ss^pv2(Y).
% 258134 [input:258063,factor:factor] -ss^rr(Z,Y) | -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv1(X) | -ss^pv3(Z) | ss^pv2(Y).
% 258135 [input:258064,factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv2(Z) | -ss^pv2(X) | -ss^pv3(Y) | ss^pv1(Y).
% 258140 [input:258066,factor:factor] -ss^rr(X,Z) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(Z) | -ss^pv3(X) | ss^pv1(Y).
% 258145 [input:258071,factor] -ss^rr(Z,X) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv2(X) | ss^pv4(Y) | ss^pv4(Z).
% 258151 [input:258074,factor:factor] -ss^rr(Y,Z) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv2(X) | ss^pv4(Z) | ss^pv3(X).
% 258153 [input:258076,factor] -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(X) | -ss^pv3(X) | ss^pv1(Y).
% 258154 [input:258078,factor] -ss^rr(X,Y) | -ss^pv2(X) | -ss^pv1(Y) | -ss^pv3(X) | ss^pv4(Y).
% 258155 [input:258080,factor] -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv4(Y) | ss^pv2(X) | ss^pv1(X).
% 258157 [input:258082,factor] -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv1(Y) | ss^pv2(X) | ss^pv3(X).
% 258160 [input:258086,factor] -ss^rr(X,Y) | -ss^pv1(X) | -ss^pv3(Y) | ss^pv1(Y) | ss^pv3(X).
% 258163 [input:258092,factor] -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv4(Y) | ss^pv4(X) | ss^pv1(X).
% 258167 [input:258097,factor] -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv2(Y) | ss^pv4(X) | ss^pv3(X).
% 258168 [input:258098,factor] -ss^rr(X,Y) | -ss^pv4(X) | ss^pv4(Y) | ss^pv3(Y) | ss^pv3(X).
% 258189 [binary:258106,258110.2] -ss^pv1(skf2(X)) | $spltprd1($spltcnst45,X).
% 258192 [binary:258106,258108] -ss^pv1(skf2(X)) | -ss^rr(Y,X) | -ss^rr(Z,X) | -ss^pv2(Y) | -ss^pv1(X) | -ss^pv1(Z).
% 258197 [binary:258106,258111.2] $spltprd1($spltcnst46,skf2(X)) | -ss^pv1(X).
% 258205 [binary:258106,258112.2] $spltprd1($spltcnst47,skf2(X)) | -ss^pv2(X).
% 258228 [binary:258106,258059] -ss^pv3(skf2(X)) | -ss^rr(Y,X) | -ss^rr(Z,X) | -ss^pv4(Y) | -ss^pv3(Z) | ss^pv1(X).
% 258233 [binary:258106,258102] -ss^pv4(skf2(X)) | ss^pv1(skf2(X)) | ss^pv3(skf2(X)) | ss^pv2(X).
% 258235 [binary:258107,258102] ss^pv2(skf3(X)) | -ss^pv4(X) | ss^pv1(X) | ss^pv3(X).
% 258247 [binary:258106,258103] -ss^pv2(skf2(X)) | ss^pv4(skf2(X)) | ss^pv1(skf2(X)) | ss^pv2(X).
% 258249 [binary:258107,258103] ss^pv2(skf3(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv1(X).
% 258260 [binary:258106,258104] ss^pv1(skf2(X)) | -ss^pv4(X) | ss^pv2(X) | ss^pv3(X).
% 258262 [binary:258107,258104] -ss^pv4(skf3(X)) | ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 258268 [binary:258106,258105] ss^pv3(skf2(X)) | ss^pv4(X) | ss^pv1(X) | ss^pv3(X).
% 258278 [binary:258197.2,258268.3] $spltprd1($spltcnst46,skf2(X)) | ss^pv3(skf2(X)) | ss^pv4(X) | ss^pv3(X).
% 258282 [binary:258235.2,258268.2] ss^pv2(skf3(X)) | ss^pv3(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 258310 [binary:258106,258119] -ss^pv2(skf2(X)) | -ss^pv1(skf2(X)) | -ss^pv4(X) | -ss^pv1(X).
% 258329 [binary:258106,258065] -ss^pv1(skf2(X)) | -ss^rr(Y,X) | -ss^rr(Z,X) | -ss^pv2(Y) | -ss^pv2(X) | ss^pv3(Z).
% 258333 [binary:258106,258153] -ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | -ss^pv1(X) | -ss^pv3(X).
% 258335 [binary:258107,258153] -ss^pv1(skf3(X)) | -ss^pv3(skf3(X)) | -ss^pv2(X) | ss^pv1(X).
% 258340 [binary:258114,258278,binarydemod:258205] -$spltprd1($spltcnst45,skf2(X)) | -$spltprd1($spltcnst48,skf2(X)) | ss^pv3(skf2(X)) | -ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 258349 [binary:258107,258154] -ss^pv2(skf3(X)) | -ss^pv3(skf3(X)) | -ss^pv1(X) | ss^pv4(X).
% 258354 [binary:258106,258155] -ss^pv2(skf2(X)) | -ss^pv4(skf2(X)) | ss^pv2(X) | ss^pv1(X).
% 258358 [binary:258106,258067] -ss^pv4(skf2(X)) | -ss^rr(Y,X) | -ss^rr(Z,X) | -ss^pv1(Y) | ss^pv2(X) | ss^pv4(Z).
% 258375 [binary:258106,258157] -ss^pv2(skf2(X)) | -ss^pv1(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 258376 [binary:258107,258157] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv2(X) | -ss^pv1(X).
% 258393 [binary:258106,258160] -ss^pv3(skf2(X)) | ss^pv1(skf2(X)) | -ss^pv1(X) | ss^pv3(X).
% 258395 [binary:258107,258160] -ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 258435 [binary:258107,258163] ss^pv4(skf3(X)) | ss^pv1(skf3(X)) | -ss^pv1(X) | ss^pv4(X).
% 258505 [binary:258106,258167] -ss^pv1(skf2(X)) | ss^pv2(skf2(X)) | ss^pv4(X) | ss^pv3(X).
% 258506 [binary:258107,258167] ss^pv4(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv1(X) | ss^pv2(X).
% 258534 [binary:258106,258168] ss^pv4(skf2(X)) | ss^pv3(skf2(X)) | -ss^pv4(X) | ss^pv3(X).
% 258535 [binary:258107,258168] -ss^pv4(skf3(X)) | ss^pv3(skf3(X)) | ss^pv4(X) | ss^pv3(X).
% 258537 [binary:258268.2,258534.3] ss^pv4(skf2(X)) | ss^pv3(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 258679 [binary:258106,258077] -ss^pv1(skf2(X)) | -ss^rr(Y,X) | -ss^pv1(X) | -ss^pv3(X) | ss^pv3(Y).
% 258725 [binary:258106,258079] -ss^pv4(skf2(X)) | -ss^rr(Y,X) | -ss^pv4(X) | -ss^pv3(X) | ss^pv4(Y).
% 258816 [binary:258106,258081] -ss^pv4(skf2(X)) | -ss^rr(Y,X) | -ss^pv2(X) | ss^pv1(Y) | ss^pv1(X).
% 258992 [binary:258106,258083] -ss^pv4(skf2(X)) | -ss^rr(Y,X) | -ss^pv1(X) | ss^pv2(Y) | ss^pv2(X).
% 259013 [binary:258106,258084] -ss^pv2(skf2(X)) | -ss^rr(Y,X) | -ss^pv3(X) | ss^pv2(Y) | ss^pv2(X).
% 259146 [binary:258106,258087] ss^pv2(skf2(X)) | -ss^rr(Y,X) | -ss^pv4(X) | -ss^pv3(Y) | ss^pv3(X).
% 259150 [binary:258107,259146.2] -ss^pv3(skf3(X)) | ss^pv2(skf2(X)) | -ss^pv4(X) | ss^pv3(X).
% 259238 [binary:258107,258088] ss^pv2(skf3(X)) | -ss^rr(Y,X) | -ss^pv2(X) | -ss^pv1(X) | ss^pv3(Y).
% 259241 [binary:258106,259238.2] ss^pv2(skf3(skf2(X))) | -ss^pv2(skf2(X)) | -ss^pv1(skf2(X)) | ss^pv3(X).
% 259294 [binary:258106,258091] ss^pv2(skf2(X)) | -ss^rr(Y,X) | -ss^pv2(Y) | ss^pv1(X) | ss^pv3(X).
% 259312 [binary:258107,259294.2] -ss^pv2(skf3(X)) | ss^pv2(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 259314 [binary:258282,259312] ss^pv2(skf2(X)) | ss^pv3(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 259484 [binary:258106,258094] ss^pv4(skf2(X)) | -ss^rr(Y,X) | -ss^pv2(X) | ss^pv1(X) | ss^pv1(Y).
% 259537 [binary:258106,258095] ss^pv2(skf2(X)) | -ss^rr(Y,X) | -ss^pv3(X) | ss^pv4(Y) | ss^pv1(X).
% 259541 [binary:258106,259484.2] ss^pv4(skf2(skf2(X))) | -ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | ss^pv1(X).
% 259543 [binary:258107,259484.2] ss^pv4(skf2(X)) | ss^pv1(skf3(X)) | -ss^pv2(X) | ss^pv1(X).
% 259684 [binary:258106,258096] ss^pv2(skf2(X)) | -ss^rr(Y,X) | -ss^pv2(Y) | ss^pv2(X) | ss^pv3(X).
% 259690 [binary:258107,259537.2] ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 259834 [binary:258107,259684.2] -ss^pv2(skf3(X)) | ss^pv2(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 260010 [binary:258106,258100] ss^pv2(skf2(X)) | -ss^rr(Y,X) | ss^pv2(X) | ss^pv4(Y) | ss^pv1(X).
% 260014 [binary:258106,260010.2] ss^pv2(skf2(skf2(X))) | ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | ss^pv4(X).
% 260016 [binary:258107,260010.2] ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | ss^pv2(X) | ss^pv1(X).
% 260047 [binary:258354,260016] -ss^pv4(skf2(X)) | ss^pv4(skf3(X)) | ss^pv2(X) | ss^pv1(X).
% 260067 [binary:258247,260016] ss^pv4(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | ss^pv2(X) | ss^pv1(X).
% 260330 [binary:258505,260014.3] ss^pv2(skf2(skf2(X))) | ss^pv2(skf2(X)) | ss^pv4(X) | ss^pv3(X).
% 260500 [binary:258107,258120] ss^pv4(skf3(X)) | -ss^rr(X,Y) | -ss^pv1(Y) | -ss^pv3(X) | -ss^pv3(Y).
% 260897 [binary:258107,258131] ss^pv3(skf3(X)) | -ss^rr(X,Y) | -ss^pv1(X) | -ss^pv1(Y) | -ss^pv3(Y).
% 260951 [binary:258107,258134] -ss^pv3(skf3(X)) | -ss^rr(Y,X) | -ss^pv4(Y) | -ss^pv1(Y) | ss^pv2(X).
% 260978 [binary:258106,260500.2] -ss^pv1(skf2(X)) | -ss^pv3(skf2(X)) | ss^pv4(skf3(X)) | -ss^pv3(X).
% 261011 [binary:258107,258133] -ss^pv4(skf3(X)) | -ss^rr(Y,X) | -ss^pv1(Y) | -ss^pv3(Y) | ss^pv2(X).
% 261200 [binary:258107,258135] -ss^pv2(skf3(X)) | -ss^rr(X,Y) | -ss^pv2(X) | -ss^pv3(Y) | ss^pv1(Y).
% 261202 [binary:258106,260897.2] -ss^pv1(skf2(X)) | -ss^pv3(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv1(X).
% 261334 [binary:258106,258140] -ss^pv1(skf2(X)) | -ss^rr(X,Y) | -ss^pv2(Y) | -ss^pv3(X) | ss^pv1(Y).
% 261762 [binary:258107,258145] ss^pv4(skf3(X)) | -ss^rr(X,Y) | -ss^pv1(Y) | ss^pv2(X) | ss^pv4(Y).
% 261767 [binary:258106,261762.2] -ss^pv1(skf2(X)) | ss^pv4(skf2(X)) | ss^pv4(skf3(X)) | ss^pv2(X).
% 261885 [binary:258106,258151] ss^pv4(skf2(X)) | -ss^rr(Y,X) | -ss^pv1(X) | ss^pv2(Y) | ss^pv3(Y).
% 261952 [binary:258107,261885.2] ss^pv2(skf3(X)) | ss^pv4(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv1(X).
% 265233 [binary:261767,260067.3] ss^pv4(skf3(X)) | ss^pv4(skf2(X)) | ss^pv2(X) | ss^pv1(X).
% 265576 [binary:259543.3,265233.3] ss^pv4(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(skf3(X)) | ss^pv1(X).
% 265585 [binary:260047,265233.2] ss^pv4(skf3(X)) | ss^pv2(X) | ss^pv1(X).
% 265631 [binary:258249.2,265585.2] ss^pv2(skf3(X)) | ss^pv4(skf3(X)) | ss^pv4(X) | ss^pv1(X).
% 265653 [binary:258506.3,265585.3] ss^pv4(skf3(X)) | ss^pv3(skf3(X)) | ss^pv2(X).
% 265658 [binary:258262,265585] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv1(X).
% 265680 [binary:261011,265585] -ss^rr(X,Y) | -ss^pv1(X) | -ss^pv3(X) | ss^pv2(Y) | ss^pv1(Y).
% 265763 [binary:258535,265653] ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv4(X) | ss^pv3(X).
% 265789 [binary:258260.2,265763.3] ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv3(X).
% 265974 [binary:258235.2,265631.3] ss^pv2(skf3(X)) | ss^pv4(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 266255 [binary:261952.4,265658.4] ss^pv2(skf3(X)) | ss^pv4(skf2(X)) | ss^pv3(skf3(X)) | ss^pv2(X).
% 266425 [binary:258262,265974.2] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 266440 [binary:259312,265974] ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 266626 [binary:259312,266425] ss^pv2(skf2(X)) | ss^pv3(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 266700 [binary:259690.3,266440.4] ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(X).
% 266770 [binary:259541.2,266700] ss^pv4(skf2(skf2(X))) | ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | ss^pv1(X).
% 266843 [binary:259150,266626.2] ss^pv2(skf2(X)) | -ss^pv4(X) | ss^pv1(X) | ss^pv3(X).
% 267277 [binary:258816,265576,factor:cut:258107] ss^pv4(skf3(X)) | ss^pv1(skf3(X)) | -ss^pv2(X) | ss^pv1(X).
% 267416 [binary:265585.2,267277.3] ss^pv4(skf3(X)) | ss^pv1(skf3(X)) | ss^pv1(X).
% 267435 [binary:258235.2,267416] ss^pv2(skf3(skf3(X))) | ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 267453 [binary:258435.3,267416.3] ss^pv4(skf3(X)) | ss^pv1(skf3(X)) | ss^pv4(X).
% 267455 [binary:258262,267416] ss^pv2(skf3(X)) | ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 268067 [binary:258106,265680] ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | -ss^pv1(X) | -ss^pv3(X).
% 268092 [binary:266700.3,268067.3] ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | -ss^pv3(X).
% 268199 [binary:258992,266255.2,factor:cut:258107] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv1(X) | ss^pv2(X).
% 268341 [binary:265658.4,268199.3] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | ss^pv2(X).
% 268368 [binary:258376.3,268341.3] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv1(X).
% 268389 [binary:259834,268341] ss^pv2(skf2(X)) | ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv3(X).
% 268472 [binary:266425.3,268368.3] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | ss^pv3(X).
% 268610 [binary:258375,268389] -ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv3(X).
% 268615 [binary:259150,268389.2] ss^pv2(skf2(X)) | -ss^pv4(X) | ss^pv2(X) | ss^pv3(X).
% 268642 [binary:260330.3,268615.2] ss^pv2(skf2(skf2(X))) | ss^pv2(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 268723 [binary:265789,268610] ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv3(X).
% 269064 [binary:258395,267455.2] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 269213 [binary:268472.3,269064.3] ss^pv2(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 269295 [binary:268368.3,269213.3] ss^pv2(skf3(X)) | ss^pv3(skf3(X)).
% 269976 [binary:259013,268642,factor:cut:258106] -ss^pv3(skf2(X)) | ss^pv2(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 270062 [binary:259314.2,269976] ss^pv2(skf2(X)) | ss^pv2(X) | ss^pv1(X) | ss^pv3(X).
% 270092 [binary:258249.2,270062.2] ss^pv2(skf3(X)) | ss^pv2(skf2(X)) | ss^pv4(X) | ss^pv1(X) | ss^pv3(X).
% 270101 [binary:258375,270062] -ss^pv1(skf2(X)) | ss^pv2(X) | ss^pv1(X) | ss^pv3(X).
% 272511 [binary:258816,266770,factor:cut:258106] -ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | ss^pv1(X).
% 272614 [binary:266700,272511] ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | ss^pv1(X).
% 273982 [binary:261200,267435,binarycut:269295,factor:factor:cut:258107] ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 274121 [binary:266626.4,273982.3] ss^pv2(skf2(X)) | ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 274125 [binary:268723.3,273982.3] ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv1(X).
% 274333 [binary:258395,274125] ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv2(X) | ss^pv1(X).
% 274348 [binary:259543.3,274125.3] ss^pv4(skf2(X)) | ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 274474 [binary:268723.3,274333.2] ss^pv3(skf3(X)) | ss^pv2(X) | ss^pv1(X).
% 275196 [binary:258395,274121.2] ss^pv2(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 275305 [binary:266626.4,275196.3] ss^pv2(skf2(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 275353 [binary:268067.3,275305.3] ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv3(X).
% 275768 [binary:258395,274348.2] ss^pv4(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 275782 [binary:258816,274348,factor:cut:258107] ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | -ss^pv2(X) | ss^pv1(X).
% 275871 [binary:258537.4,275768.3] ss^pv4(skf2(X)) | ss^pv3(skf2(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 276010 [binary:274474.2,275782.3] ss^pv1(skf3(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 276030 [binary:258395,276010] ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv1(X).
% 284544 [binary:259312,270092] ss^pv2(skf2(X)) | ss^pv4(X) | ss^pv1(X) | ss^pv3(X).
% 284648 [binary:266843.2,284544.2] ss^pv2(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 284724 [binary:259241.2,284648] ss^pv2(skf3(skf2(X))) | -ss^pv1(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 284728 [binary:259541.2,284648] ss^pv4(skf2(skf2(X))) | ss^pv1(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 285485 [binary:258816,284728,factor:cut:258106] -ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 285620 [binary:284648,285485] ss^pv1(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 285642 [binary:258393,285620.3] ss^pv1(skf2(skf2(X))) | ss^pv1(skf2(X)) | -ss^pv1(X) | ss^pv3(X).
% 285706 [binary:270101,285620] ss^pv2(X) | ss^pv1(X) | ss^pv3(X).
% 285718 [binary:276030.2,285620.3] ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | ss^pv1(X).
% 285736 [binary:284724.2,285620] ss^pv2(skf3(skf2(X))) | ss^pv1(X) | ss^pv3(X).
% 285747 [binary:258333,285706] ss^pv1(skf2(X)) | ss^pv3(skf2(X)) | -ss^pv1(X) | -ss^pv3(X).
% 285750 [binary:258393,285706.3] ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | -ss^pv1(X) | ss^pv3(X).
% 285764 [binary:259543.3,285706] ss^pv4(skf2(X)) | ss^pv1(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 286033 [binary:276030.2,285736.3] ss^pv2(skf3(skf2(X))) | ss^pv3(skf3(X)) | ss^pv1(X).
% 287874 [binary:284648.2,285750.3] ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | ss^pv3(X).
% 287890 [binary:258505,287874.2] ss^pv2(skf2(X)) | ss^pv4(X) | ss^pv3(X).
% 287891 [binary:258247,287874] ss^pv4(skf2(X)) | ss^pv1(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 287921 [binary:268092.4,287874.3] ss^pv2(skf2(X)) | ss^pv4(skf3(X)) | ss^pv1(skf2(X)).
% 287929 [binary:275353.4,287874.3] ss^pv2(skf2(X)) | ss^pv1(skf2(X)) | ss^pv3(skf3(X)).
% 287971 [binary:268615.2,287890.2] ss^pv2(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 287995 [binary:258375,287971] -ss^pv1(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 288284 [binary:258333,287921] ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | -ss^pv1(X) | -ss^pv3(X).
% 288350 [binary:258333,287929] ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv1(X) | -ss^pv3(X).
% 288871 [binary:258816,285764,factor:cut:258107] ss^pv1(skf3(X)) | -ss^pv2(X) | ss^pv1(X) | ss^pv3(X).
% 288954 [binary:285706,288871.2] ss^pv1(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 288973 [binary:258335,288954] -ss^pv3(skf3(X)) | -ss^pv2(X) | ss^pv1(X) | ss^pv3(X).
% 289508 [binary:258233,287891] ss^pv1(skf2(X)) | ss^pv3(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 289934 [binary:272614.3,288284.3] ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | -ss^pv3(X).
% 290104 [binary:285718.3,288350.3] ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv3(X).
% 290179 [binary:268723.3,290104.3] ss^pv1(skf2(X)) | ss^pv3(skf3(X)) | ss^pv2(X).
% 290258 [binary:258679,290179,factor:cut:258107] ss^pv3(skf3(X)) | -ss^pv1(X) | -ss^pv3(X) | ss^pv2(X).
% 290332 [binary:274474.3,290258.2] ss^pv3(skf3(X)) | -ss^pv3(X) | ss^pv2(X).
% 290343 [binary:268723.3,290332.2] ss^pv3(skf3(X)) | ss^pv2(X).
% 290359 [binary:260951,290343] -ss^rr(X,Y) | -ss^pv4(X) | -ss^pv1(X) | ss^pv2(Y).
% 290420 [binary:258106,290359] ss^pv2(skf2(X)) | -ss^pv4(X) | -ss^pv1(X).
% 290421 [binary:258107,290359] -ss^pv4(skf3(X)) | -ss^pv1(skf3(X)) | ss^pv2(X).
% 290551 [binary:287890.2,290420.2] ss^pv2(skf2(X)) | -ss^pv1(X) | ss^pv3(X).
% 290586 [binary:284648.2,290551.2] ss^pv2(skf2(X)) | ss^pv3(X).
% 290590 [binary:258310,290586] -ss^pv1(skf2(X)) | -ss^pv4(X) | -ss^pv1(X) | ss^pv3(X).
% 290592 [binary:259241.2,290586] ss^pv2(skf3(skf2(X))) | -ss^pv1(skf2(X)) | ss^pv3(X).
% 291572 [binary:258393,289508.2] ss^pv1(skf2(X)) | -ss^pv1(X) | ss^pv2(X) | ss^pv3(X).
% 291625 [binary:285620.2,291572.2] ss^pv1(skf2(X)) | ss^pv2(X) | ss^pv3(X).
% 291662 [binary:287995,291625] ss^pv2(X) | ss^pv3(X).
% 291663 [binary:289934.3,291625.3] ss^pv4(skf3(X)) | ss^pv1(skf2(X)) | ss^pv2(X).
% 291717 [binary:261767,291663.2] ss^pv4(skf3(X)) | ss^pv4(skf2(X)) | ss^pv2(X).
% 291752 [binary:258725,291717.2,factor:cut:258107] ss^pv4(skf3(X)) | -ss^pv4(X) | -ss^pv3(X) | ss^pv2(X).
% 291766 [binary:258358,291717.2,factor:cut:258107] ss^pv4(skf3(X)) | -ss^rr(Y,X) | -ss^pv1(Y) | ss^pv2(X).
% 293875 [binary:258107,291766.2] -ss^pv1(skf3(X)) | ss^pv4(skf3(X)) | ss^pv2(X).
% 293878 [binary:267453.2,293875] ss^pv4(skf3(X)) | ss^pv2(X) | ss^pv4(X).
% 293959 [binary:291752.2,293878.3] ss^pv4(skf3(X)) | -ss^pv3(X) | ss^pv2(X).
% 293990 [binary:291662.2,293959.2] ss^pv4(skf3(X)) | ss^pv2(X).
% 294007 [binary:290421,293990] -ss^pv1(skf3(X)) | ss^pv2(X).
% 295946 [binary:285620.2,285642.3] ss^pv1(skf2(skf2(X))) | ss^pv1(skf2(X)) | ss^pv3(X).
% 296005 [binary:258329,295946,binarycut:290586,factor:cut:258106] -ss^rr(X,skf2(Y)) | ss^pv1(skf2(Y)) | -ss^pv2(X) | ss^pv3(Y).
% 296039 [binary:290592.2,295946.2] ss^pv2(skf3(skf2(X))) | ss^pv1(skf2(skf2(X))) | ss^pv3(X).
% 296389 [binary:261200,296039,binarycut:290586,factor:cut:258106] -ss^pv3(skf2(skf2(X))) | ss^pv1(skf2(skf2(X))) | ss^pv3(X).
% 300918 [binary:258106,296005,binarycut:291662] ss^pv1(skf2(X)) | ss^pv3(X).
% 300919 [binary:258106,296005,binarycut:291662,binarydemod:258189] $spltprd1($spltcnst45,X) | ss^pv3(X).
% 300921 [binary:258113.2,300918] $spltprd1($spltcnst48,skf2(X)) | ss^pv3(X).
% 300954 [binary:288973,300918.2,binarycut:291662] ss^pv1(skf2(skf3(X))) | ss^pv1(X) | ss^pv3(X).
% 300956 [binary:289934.3,300918.2] ss^pv4(skf3(X)) | ss^pv1(skf2(X)).
% 300958 [binary:290104.3,300918.2] ss^pv1(skf2(X)) | ss^pv3(skf3(X)).
% 300960 [binary:290590,300918] -ss^pv4(X) | -ss^pv1(X) | ss^pv3(X).
% 300967 [binary:258340,300919,binarycut:300921,binarycut:291662] ss^pv3(skf2(X)) | ss^pv4(X) | ss^pv3(X).
% 300983 [binary:260978,300956.2] -ss^pv3(skf2(X)) | ss^pv4(skf3(X)) | -ss^pv3(X).
% 301012 [binary:258679,300958,factor:cut:258107] ss^pv3(skf3(X)) | -ss^pv1(X) | -ss^pv3(X).
% 301013 [binary:261202,300958] -ss^pv3(skf2(X)) | ss^pv3(skf3(X)) | -ss^pv1(X).
% 301026 [binary:258537,300960,binarycut:300918] ss^pv3(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 301049 [binary:275871,300960,binarycut:300958] ss^pv3(skf3(X)) | ss^pv3(skf2(X)) | ss^pv1(X).
% 301196 [binary:300960,300967.2] ss^pv3(skf2(X)) | -ss^pv1(X) | ss^pv3(X).
% 301416 [binary:301026.2,301196.2] ss^pv3(skf2(X)) | ss^pv3(X).
% 301560 [binary:261334,300954,factor:cut:258107,binarycut:291662] -ss^pv3(skf3(X)) | ss^pv1(X) | ss^pv3(X).
% 301730 [binary:301012.2,301049.3] ss^pv3(skf3(X)) | ss^pv3(skf2(X)) | -ss^pv3(X).
% 302109 [binary:301416.2,301730.3] ss^pv3(skf3(X)) | ss^pv3(skf2(X)).
% 302117 [binary:301013,302109.2] ss^pv3(skf3(X)) | -ss^pv1(X).
% 302120 [binary:286033.3,302117.2] ss^pv2(skf3(skf2(X))) | ss^pv3(skf3(X)).
% 302126 [binary:300958,302117.2] ss^pv3(skf3(skf2(X))) | ss^pv3(skf3(X)).
% 302171 [binary:258349,302120,binarycut:302126,binarycut:300958] ss^pv4(skf2(X)) | ss^pv3(skf3(X)).
% 302204 [binary:301560,302171.2] ss^pv4(skf2(X)) | ss^pv1(X) | ss^pv3(X).
% 302282 [binary:258816,302204,binarycut:291662] -ss^rr(X,Y) | ss^pv1(X) | ss^pv1(Y) | ss^pv3(Y).
% 302879 [binary:258106,302282] ss^pv1(skf2(X)) | ss^pv3(skf2(X)) | ss^pv1(X).
% 302947 [binary:285747.3,302879.3] ss^pv1(skf2(X)) | ss^pv3(skf2(X)) | -ss^pv3(X).
% 302992 [binary:300918.2,302947.3] ss^pv1(skf2(X)) | ss^pv3(skf2(X)).
% 303017 [binary:296389,302992.2] ss^pv1(skf2(skf2(X))) | ss^pv3(X).
% 303032 [binary:258679,303017,binarycut:300918,binarycut:301416,factor:cut:258106] ss^pv3(X).
% 303052 [binary:258228,303032,cut:303032,slowcut:258107] -ss^rr(X,Y) | -ss^pv4(X) | ss^pv1(Y).
% 303058 [binary:300983,303032,cut:303032] ss^pv4(skf3(X)).
% 303069 [binary:258107,303052,cut:303058] ss^pv1(X).
% 303079 [binary:258192,303069,cut:303069,cut:303069,slowcut:258107,slowcut:258106] -ss^pv2(X).
% 303084 [binary:294007,303069,cut:303079] 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: 42615
% derived clauses: 1164289
% kept clauses: 107069
% kept size sum: 762279
% kept mid-nuclei: 130048
% kept new demods: 0
% forw unit-subs: 6868
% forw double-subs: 39103
% forw overdouble-subs: 271654
% backward subs: 3809
% fast unit cutoff: 414
% full unit cutoff: 960
% dbl unit cutoff: 970
% real runtime: 151.94
% process. runtime: 150.89
% specific non-discr-tree subsumption statistics:
% tried: 104721023
% length fails: 2212609
% strength fails: 24899517
% predlist fails: 68995547
% aux str. fails: 1580041
% by-lit fails: 570090
% full subs tried: 6392718
% full subs fail: 6098592
%
% ; 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/SYN796-1+noeq.in")
%
%------------------------------------------------------------------------------