TSTP Solution File: SYN836-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SYN836-1 : 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 129.4s
% Output   : Assurance 129.4s
% 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/SYN836-1+noeq.in
% 
% Some predicates or functions were curried and renamed.
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: nne
% detected subclass: big
% 
% strategies selected: 
% (hyper 30 #f 1 47)
% (binary-unit 30 #f 1 47)
% (binary-double 18 #f 1 47)
% (binary 90 #t 1 47)
% (binary-order 30 #f 1 47)
% (binary-posweight-order 54 #f)
% (binary-order-sos 30 #t)
% (binary-unit-uniteq 30 #f)
% (binary-weightorder 30 #f)
% (binary-weightorder-sos 30 #f)
% (binary-order 30 #f)
% (hyper-order 30 #f)
% (binary 168 #t)
% 
% 
% SOS clause 
% -$ganappred18($ganc270,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred18($ganc236,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred18($ganc235,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred18($ganc229,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred17($ganc207,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) | -$ganappred16($ganc186,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | -$ganappred15($ganc168,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred14($ganc147,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8) | -$ganappred13($ganc129,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred12($ganc110,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -$ganappred11($ganc91,X,Y,Z,U,V,W,X1,X2,X3,X4,X5) | -$ganappred10($ganc74,X,Y,Z,U,V,W,X1,X2,X3,X4) | -$ganappred9($ganc54,X,Y,Z,U,V,W,X1,X2,X3) | -$ganappred8($ganc39,X,Y,Z,U,V,W,X1,X2) | -$ganappred7($ganc25,X,Y,Z,U,V,W,X1) | -$ganappred6($ganc10,X,Y,Z,U,V,W) | -ss^nder1_5r1r1r1r1r1(X,Y,Z,U,V) | -ss^nder1_4r1r1r1r1(X,Y,Z,U) | -ss^nder1_3r1r1r1(X,Y,Z) | -ss^nder1_2r1r1(X,Y) | -ss^nder1_1r1(X) | -ss^nder1_0(0).
% was split for some strategies as: 
% -$ganappred18($ganc270,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred18($ganc236,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred18($ganc235,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred18($ganc229,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) | -$ganappred17($ganc207,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) | -$ganappred16($ganc186,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | -$ganappred15($ganc168,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred14($ganc147,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8) | -$ganappred13($ganc129,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred12($ganc110,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -$ganappred11($ganc91,X,Y,Z,U,V,W,X1,X2,X3,X4,X5) | -$ganappred10($ganc74,X,Y,Z,U,V,W,X1,X2,X3,X4) | -$ganappred9($ganc54,X,Y,Z,U,V,W,X1,X2,X3) | -$ganappred8($ganc39,X,Y,Z,U,V,W,X1,X2) | -$ganappred7($ganc25,X,Y,Z,U,V,W,X1) | -$ganappred6($ganc10,X,Y,Z,U,V,W) | -ss^nder1_5r1r1r1r1r1(X,Y,Z,U,V) | -ss^nder1_4r1r1r1r1(X,Y,Z,U) | -ss^nder1_3r1r1r1(X,Y,Z) | -ss^nder1_2r1r1(X,Y) | -ss^nder1_1r1(X).
% -ss^nder1_0(0).
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(536,40,29,1072,0,35,26982,4,1167,43468,5,1536,43468,1,1536,43468,50,1537,43468,40,1537,44004,0,1540,47491,50,1615,48027,0,1618,50712,50,1659,51248,0,1662,53743,50,1703,54279,0,1711,56774,50,1751,57310,0,1754,59805,50,1795,60341,0,1798,62836,50,1842,63372,0,1845,65867,50,1894,66403,0,1897,68898,50,1941,69434,0,1944,71929,50,1990,72465,0,1993,74960,50,2047,75496,0,2050,77991,50,2098,78527,0,2101,81022,50,2150,81558,0,2153,84053,50,2204,84589,0,2212,87084,50,2262,87620,0,2266,90115,50,2316,90115,40,2316,90651,0,2320,101307,3,2771,102757,4,2996,104184,1,3221,104184,50,3221,104184,40,3221,104720,0,3225,117624,3,5476,120099,4,6601,124683,50,7598,124683,40,7598,125219,0,7610,130647,3,8361,134626,4,8736,138169,1,9111,138169,50,9111,138169,40,9111,138705,0,9114,152104,3,10465,155165,4,11140,157656,50,11563,157656,40,11563,158192,0,11574,171186,3,12325,172096,4,12700,173306,1,13075,173306,50,13075,173306,40,13075,173842,0,13083,177329,50,13146,177329,40,13146,177865,0,13149)
% 
% 
% START OF PROOF
% 173845 [?] ?
% 173867 [?] ?
% 173892 [?] ?
% 173936 [?] ?
% 174020 [?] ?
% 174107 [?] ?
% 174245 [?] ?
% 174387 [?] ?
% 174482 [?] ?
% 174720 [?] ?
% 174933 [?] ?
% 175232 [?] ?
% 175808 [?] ?
% 176301 [?] ?
% 177432 [?] ?
% 177474 [?] ?
% 177519 [?] ?
% 177527 [?] ?
% 177533 [?] ?
% 177545 [?] ?
% 177553 [?] ?
% 177556 [?] ?
% 177564 [?] ?
% 177571 [?] ?
% 177577 [?] ?
% 177616 [?] ?
% 177622 [?] ?
% 177625 [?] ?
% 177641 [?] ?
% 177642 [?] ?
% 177714 [?] ?
% 177717 [?] ?
% 177754 [?] ?
% 177755 [?] ?
% 177760 [?] ?
% 177761 [?] ?
% 177769 [?] ?
% 177770 [?] ?
% 177789 [?] ?
% 177804 [?] ?
% 177818 [?] ?
% 177852 [?] ?
% 177853 [] ss^nder1_0(0).
% 177856 [?] ?
% 177858 [?] ?
% 177861 [?] ?
% 177863 [?] ?
% 177866 [input:177852,cut:177853] ss^nder1_1r1(X).
% 177876 [input:177856,cut:177853,cut:173892,cut:173867,cut:173845] -$ganappred6($ganc3,X,Y,Z,U,V,skc29) | -ss^nder1_1r1(X).
% 177886 [input:177858,cut:177853,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,skc25) | -ss^nder1_1r1(X).
% 177897 [input:177861,cut:177853,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,skc23) | -ss^nder1_1r1(X).
% 177904 [input:177863,cut:177853,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred15($ganc148,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,skc19) | -ss^nder1_1r1(X).
% 177915 [input:177818,cut:177853,cut:173892,cut:173867,cut:173845] $ganappred6($ganc3,X,Y,Z,U,V,skc28) | -ss^nder1_1r1(X).
% 177927 [input:177804,cut:177853,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred7($ganc16,X,Y,Z,U,V,W,skc26) | -ss^nder1_1r1(X).
% 177949 [input:177789,cut:177853,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred8($ganc26,X,Y,Z,U,V,W,X1,skc24) | -ss^nder1_1r1(X).
% 177980 [input:177769,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred8($ganc40,X,Y,Z,U,V,W,X1,X2) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 177981 [input:177770,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred8($ganc40,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X) | ss^pv20_1r1(X).
% 177985 [input:177760,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred8($ganc49,X,Y,Z,U,V,W,X1,X2) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 177986 [input:177761,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred8($ganc49,X,Y,Z,U,V,W,X1,X2) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178010 [input:177754,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred8($ganc52,X,Y,Z,U,V,W,X1,X2) | -$ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^nder1_1r1(X).
% 178012 [input:177755,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred8($ganc52,X,Y,Z,U,V,W,X1,X2) | $ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^nder1_1r1(X).
% 178110 [input:177714,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred8($ganc40,X,Y,Z,U,V,W,X1,X2) | -$ganappred8($ganc49,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc52,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X).
% 178111 [binary:177980,178110] -$ganappred8($ganc49,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc52,X,Y,Z,U,V,W,X1,X2) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178113 [binary:177986,178111] $ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc52,X,Y,Z,U,V,W,X1,X2) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178116 [binary:177886,178113] $ganappred8($ganc52,X,Y,Z,U,V,W,X1,skc25) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178120 [binary:178012,178116] $ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178122 [binary:177876,178120] -ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178128 [input:177717,cut:177853,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred8($ganc52,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc40,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc49,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X).
% 178129 [binary:178010,178128] $ganappred8($ganc49,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc40,X,Y,Z,U,V,W,X1,X2) | -$ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^nder1_1r1(X).
% 178132 [binary:177985,178129] $ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | $ganappred8($ganc40,X,Y,Z,U,V,W,X1,X2) | -$ganappred6($ganc3,X,Y,Z,U,V,W) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178135 [binary:177886,178132] $ganappred8($ganc40,X,Y,Z,U,V,W,X1,skc25) | -$ganappred6($ganc3,X,Y,Z,U,V,W) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178139 [binary:177981,178135] -$ganappred6($ganc3,X,Y,Z,U,V,W) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X) | ss^pv20_1r1(X).
% 178143 [binary:177915,178139] ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X) | ss^pv20_1r1(X).
% 178199 [input:177641,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -ss^nder1_1r1(X) | ss^pv20_1r1(X).
% 178200 [input:177642,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178255 [input:177616,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred13($ganc146,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -ss^nder1_1r1(X).
% 178262 [input:177622,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred13($ganc142,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -ss^nder1_1r1(X).
% 178266 [input:177625,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred13($ganc141,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X).
% 178289 [input:177571,cut:177853,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred15($ganc172,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178402 [input:177533,cut:177853,cut:176301,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred16($ganc189,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178416 [input:177545,cut:177853,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred15($ganc183,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -ss^nder1_1r1(X).
% 178490 [input:177553,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred13($ganc141,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc146,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -ss^nder1_1r1(X).
% 178491 [binary:178266,178490] -$ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc146,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X).
% 178493 [binary:178200,178491] $ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc146,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178495 [binary:177897,178493] $ganappred13($ganc146,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,skc23) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178500 [binary:178255,178495] $ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178547 [input:177556,cut:177853,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred13($ganc142,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred13($ganc141,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -ss^nder1_1r1(X).
% 178548 [binary:178262,178547] -$ganappred13($ganc141,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -ss^nder1_1r1(X).
% 178550 [binary:178266,178548] $ganappred13($ganc111,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | $ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7) | -$ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X).
% 178553 [binary:177897,178550] $ganappred13($ganc131,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,skc23) | -$ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X).
% 178557 [binary:178199,178553] -$ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -ss^nder1_1r1(X) | ss^pv20_1r1(X).
% 178600 [input:177432,cut:177853,cut:176301,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred16($ganc169,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | -$ganappred16($ganc189,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | $ganappred16($ganc192,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | $ganappred16($ganc198,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | -ss^nder1_1r1(X).
% 178710 [input:177564,cut:177853,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred15($ganc176,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred7($ganc16,X,Y,Z,U,V,W,X1) | -ss^nder1_1r1(X).
% 178716 [input:177577,cut:177853,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] $ganappred16($ganc169,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | -ss^nder1_1r1(X).
% 178717 [binary:178600,178716] -$ganappred16($ganc189,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | $ganappred16($ganc198,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | $ganappred16($ganc192,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | -ss^nder1_1r1(X).
% 178720 [binary:178402,178717] $ganappred16($ganc198,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | $ganappred16($ganc192,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178894 [input:177519,cut:177853,cut:176301,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred16($ganc198,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | $ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -ss^nder1_1r1(X).
% 178895 [binary:178720,178894] $ganappred16($ganc192,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) | $ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178948 [input:177474,cut:177853,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred15($ganc183,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred15($ganc176,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | $ganappred15($ganc172,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | $ganappred15($ganc148,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -ss^nder1_1r1(X).
% 178949 [binary:178416,178948] -$ganappred15($ganc176,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | $ganappred15($ganc148,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | $ganappred15($ganc172,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -ss^nder1_1r1(X).
% 178951 [binary:178710,178949] $ganappred15($ganc148,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | $ganappred15($ganc172,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9) | -$ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -$ganappred7($ganc16,X,Y,Z,U,V,W,X1) | -ss^nder1_1r1(X).
% 178953 [binary:177904,178951] $ganappred15($ganc172,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,skc19) | -$ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -$ganappred7($ganc16,X,Y,Z,U,V,W,X1) | -ss^nder1_1r1(X).
% 178956 [binary:178289,178953] -$ganappred12($ganc145,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6) | -$ganappred7($ganc16,X,Y,Z,U,V,W,X1) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 178959 [binary:178500,178956] -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | -$ganappred7($ganc16,X,Y,Z,U,V,W,X1) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178966 [binary:177949,178959] -$ganappred7($ganc16,X,Y,Z,U,V,W,X1) | ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178968 [binary:177927,178966] ss^pv18_3r1r1r1(X,Y,Z) | -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 178971 [binary:178122,178968] -ss^pv20_1r1(X) | -ss^nder1_1r1(X).
% 179154 [input:177527,cut:177853,cut:176301,cut:175808,cut:175232,cut:174933,cut:174720,cut:174482,cut:174387,cut:174245,cut:174107,cut:174020,cut:173936,cut:173892,cut:173867,cut:173845] -$ganappred16($ganc192,X,Y,Z,U,V,W,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) | $ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^nder1_1r1(X).
% 179155 [binary:178895,179154] $ganappred9($ganc89,X,Y,Z,U,V,W,X1,X2,X3) | $ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 179160 [binary:178557,179155,binarycut:178971] -$ganappred8($ganc26,X,Y,Z,U,V,W,X1,X2) | $ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 179162 [binary:177949,179160] $ganappred6($ganc3,X,Y,Z,U,V,W) | -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 179164 [binary:177876,179162] -ss^pv18_3r1r1r1(X,Y,Z) | -ss^nder1_1r1(X).
% 179167 [binary:178143,179164,binarycut:178971] -ss^nder1_1r1(X).
% 179168 [binary:177866,179167] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using weight-order strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 15
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    57404
%  derived clauses:   613079
%  kept clauses:      97004
%  kept size sum:     113529
%  kept mid-nuclei:   15052
%  kept new demods:   0
%  forw unit-subs:    12367
%  forw double-subs: 80386
%  forw overdouble-subs: 285329
%  backward subs:     46953
%  fast unit cutoff:  45882
%  full unit cutoff:  141
%  dbl  unit cutoff:  218
%  real runtime:  132.23
%  process. runtime:  131.66
% specific non-discr-tree subsumption statistics: 
%  tried:           20688029
%  length fails:    207561
%  strength fails:  1704073
%  predlist fails:  1232656
%  aux str. fails:  314100
%  by-lit fails:    15216525
%  full subs tried: 617445
%  full subs fail:  331740
% 
% ; 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/SYN836-1+noeq.in")
% 
%------------------------------------------------------------------------------