TSTP Solution File: SYO671-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO671-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:24:11 EDT 2024

% Result   : Unsatisfiable 0.62s 0.84s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  232 (   3 unt;   0 def)
%            Number of atoms       :  792 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  944 ( 384   ~; 538   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   26 (  25 usr;  23 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   86 (  86   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f816,plain,
    $false,
    inference(avatar_sat_refutation,[],[f116,f195,f214,f219,f225,f238,f250,f281,f287,f306,f315,f327,f331,f335,f338,f480,f509,f565,f569,f577,f588,f590,f594,f611,f616,f637,f638,f692,f699,f704,f706,f709,f764,f794,f798,f799,f800,f804,f809,f811,f813,f815]) ).

fof(f815,plain,
    ( spl0_20
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f814,f216,f156,f284]) ).

fof(f284,plain,
    ( spl0_20
  <=> 'LE'(f(suc(suc(z))),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f156,plain,
    ( spl0_4
  <=> 'E'(s('0'),f(suc(suc(z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f216,plain,
    ( spl0_13
  <=> 'E'(s(s('0')),f(suc(suc(z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f814,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | spl0_4
    | spl0_13 ),
    inference(subsumption_resolution,[],[f769,f157]) ).

fof(f157,plain,
    ( ~ 'E'(s('0'),f(suc(suc(z))))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f769,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | 'E'(s('0'),f(suc(suc(z))))
    | spl0_13 ),
    inference(resolution,[],[f218,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( 'E'(s(s('0')),f(X0))
      | 'LE'(f(X0),s('0'))
      | 'E'(s('0'),f(X0)) ),
    inference(resolution,[],[f10,f49]) ).

fof(f49,plain,
    ! [X6] :
      ( 'LE'(f(X6),s(s('0')))
      | 'E'(s(s('0')),f(X6)) ),
    inference(subsumption_resolution,[],[f27,f11]) ).

fof(f11,axiom,
    ! [X11] : 'LE'(f(X11),s(s(s('0')))),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_421) ).

fof(f27,axiom,
    ! [X6] :
      ( 'LE'(f(X6),s(s('0')))
      | 'E'(s(s('0')),f(X6))
      | ~ 'LE'(f(X6),s(s(s('0')))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_261) ).

fof(f10,axiom,
    ! [X10] :
      ( ~ 'LE'(f(X10),s(s('0')))
      | 'E'(s('0'),f(X10))
      | 'LE'(f(X10),s('0')) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_326) ).

fof(f218,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(z))))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f813,plain,
    ( spl0_11
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f812,f216,f156,f192]) ).

fof(f192,plain,
    ( spl0_11
  <=> 'LE'(f(suc(z)),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f812,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | spl0_4
    | spl0_13 ),
    inference(subsumption_resolution,[],[f768,f157]) ).

fof(f768,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | 'E'(s('0'),f(suc(suc(z))))
    | spl0_13 ),
    inference(resolution,[],[f218,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( 'E'(s(s('0')),f(suc(X0)))
      | 'LE'(f(X0),s('0'))
      | 'E'(s('0'),f(suc(X0))) ),
    inference(resolution,[],[f36,f49]) ).

fof(f36,axiom,
    ! [X10] :
      ( ~ 'LE'(f(suc(X10)),s(s('0')))
      | 'E'(s('0'),f(suc(X10)))
      | 'LE'(f(X10),s('0')) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_138) ).

fof(f811,plain,
    ( spl0_4
    | spl0_19
    | spl0_13 ),
    inference(avatar_split_clause,[],[f766,f216,f278,f156]) ).

fof(f278,plain,
    ( spl0_19
  <=> 'LE'(f(z),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f766,plain,
    ( 'LE'(f(z),s('0'))
    | 'E'(s('0'),f(suc(suc(z))))
    | spl0_13 ),
    inference(resolution,[],[f218,f58]) ).

fof(f58,plain,
    ! [X0] :
      ( 'E'(s(s('0')),f(suc(suc(X0))))
      | 'LE'(f(X0),s('0'))
      | 'E'(s('0'),f(suc(suc(X0)))) ),
    inference(resolution,[],[f41,f49]) ).

fof(f41,axiom,
    ! [X10] :
      ( ~ 'LE'(f(suc(suc(X10))),s(s('0')))
      | 'E'(s('0'),f(suc(suc(X10))))
      | 'LE'(f(X10),s('0')) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_18) ).

fof(f809,plain,
    ( spl0_5
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f808,f247,f182,f160]) ).

fof(f160,plain,
    ( spl0_5
  <=> 'E'('0',f(suc(z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f182,plain,
    ( spl0_9
  <=> 'E'(f(suc(suc(suc(z)))),f(suc(suc(suc(suc(z)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f247,plain,
    ( spl0_15
  <=> 'E'(s('0'),f(suc(suc(suc(z))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f808,plain,
    ( ~ 'E'(f(suc(suc(suc(z)))),f(suc(suc(suc(suc(z))))))
    | 'E'('0',f(suc(z)))
    | spl0_15 ),
    inference(subsumption_resolution,[],[f243,f248]) ).

fof(f248,plain,
    ( ~ 'E'(s('0'),f(suc(suc(suc(z)))))
    | spl0_15 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f243,plain,
    ( ~ 'E'(f(suc(suc(suc(z)))),f(suc(suc(suc(suc(z))))))
    | 'E'('0',f(suc(z)))
    | 'E'(s('0'),f(suc(suc(suc(z))))) ),
    inference(resolution,[],[f101,f34]) ).

fof(f34,axiom,
    ~ 'LE'(f(z),'0'),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_211) ).

fof(f101,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'(f(suc(suc(suc(X0)))),f(suc(suc(suc(suc(X0))))))
      | 'E'('0',f(suc(X0)))
      | 'E'(s('0'),f(suc(suc(suc(X0))))) ),
    inference(resolution,[],[f75,f30]) ).

fof(f30,axiom,
    ! [X12] :
      ( ~ 'LE'(f(suc(X12)),s('0'))
      | 'E'('0',f(suc(X12)))
      | 'LE'(f(X12),'0') ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_353) ).

fof(f75,plain,
    ! [X0] :
      ( 'LE'(f(X0),s('0'))
      | 'E'(s('0'),f(suc(suc(X0))))
      | ~ 'E'(f(suc(suc(X0))),f(suc(suc(suc(X0))))) ),
    inference(resolution,[],[f72,f41]) ).

fof(f72,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(f(X0),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f71,f49]) ).

fof(f71,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(subsumption_resolution,[],[f70,f61]) ).

fof(f61,plain,
    ! [X0] :
      ( 'E'(s(s('0')),f(suc(X0)))
      | 'LE'(f(X0),s(s('0'))) ),
    inference(resolution,[],[f4,f11]) ).

fof(f4,axiom,
    ! [X6] :
      ( ~ 'LE'(f(suc(X6)),s(s(s('0'))))
      | 'E'(s(s('0')),f(suc(X6)))
      | 'LE'(f(X6),s(s('0'))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_183) ).

fof(f70,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(resolution,[],[f68,f48]) ).

fof(f48,plain,
    ! [X3] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X3))))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    inference(subsumption_resolution,[],[f24,f43]) ).

fof(f43,plain,
    ! [X3,X4,X5] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X4))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X3))))
      | ~ iLEQ(suc(X3),suc(X4))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(X4))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    inference(subsumption_resolution,[],[f8,f42]) ).

fof(f42,plain,
    ! [X3,X4,X5] :
      ( 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X4))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X3))))
      | ~ iLEQ(suc(X3),suc(X4))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X4))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    inference(subsumption_resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5] :
      ( 'E'(f(X5),f(suc(X5)))
      | 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(suc(X4))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ iLEQ(suc(X3),suc(X4))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X4))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_123) ).

fof(f7,axiom,
    ! [X3,X4,X5] :
      ( 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X4))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X3))))
      | ~ iLEQ(suc(X3),suc(X4))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X4))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_350) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X4))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X3))))
      | ~ iLEQ(suc(X3),suc(X4))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(X4))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_20) ).

fof(f24,axiom,
    ! [X3] :
      ( iLEQ(suc(X3),suc(X3))
      | ~ 'E'(s(s('0')),f(X3))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(suc(X3)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_91) ).

fof(f68,plain,
    ! [X0] :
      ( 'E'(s(s('0')),f(suc(suc(X0))))
      | 'LE'(f(X0),s(s('0'))) ),
    inference(resolution,[],[f6,f11]) ).

fof(f6,axiom,
    ! [X6] :
      ( ~ 'LE'(f(suc(suc(X6))),s(s(s('0'))))
      | 'E'(s(s('0')),f(suc(suc(X6))))
      | 'LE'(f(X6),s(s('0'))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_217) ).

fof(f804,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f239,f265,f160,f156]) ).

fof(f265,plain,
    ( spl0_17
  <=> 'E'(f(suc(suc(z))),f(suc(suc(suc(z))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f239,plain,
    ( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
    | 'E'('0',f(suc(z)))
    | 'E'(s('0'),f(suc(suc(z)))) ),
    inference(resolution,[],[f89,f34]) ).

fof(f89,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'(f(suc(suc(X0))),f(suc(suc(suc(X0)))))
      | 'E'('0',f(suc(X0)))
      | 'E'(s('0'),f(suc(suc(X0)))) ),
    inference(resolution,[],[f74,f30]) ).

fof(f74,plain,
    ! [X0] :
      ( 'LE'(f(X0),s('0'))
      | 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(f(suc(X0)),f(suc(suc(X0)))) ),
    inference(resolution,[],[f72,f36]) ).

fof(f800,plain,
    ( spl0_4
    | spl0_2
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f152,f265,f109,f156]) ).

fof(f109,plain,
    ( spl0_2
  <=> 'E'('0',f(z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f152,plain,
    ( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
    | 'E'('0',f(z))
    | 'E'(s('0'),f(suc(suc(z)))) ),
    inference(resolution,[],[f100,f34]) ).

fof(f100,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'(f(suc(suc(X0))),f(suc(suc(suc(X0)))))
      | 'E'('0',f(X0))
      | 'E'(s('0'),f(suc(suc(X0)))) ),
    inference(resolution,[],[f75,f40]) ).

fof(f40,axiom,
    ! [X12] :
      ( ~ 'LE'(f(X12),s('0'))
      | 'E'('0',f(X12))
      | 'LE'(f(X12),'0') ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_307) ).

fof(f799,plain,
    ( spl0_20
    | spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f791,f406,f247,f284]) ).

fof(f406,plain,
    ( spl0_27
  <=> 'E'(s(s('0')),f(suc(suc(suc(suc(z)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f791,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | spl0_15
    | spl0_27 ),
    inference(subsumption_resolution,[],[f789,f248]) ).

fof(f789,plain,
    ( 'E'(s('0'),f(suc(suc(suc(z)))))
    | 'LE'(f(suc(suc(z))),s('0'))
    | spl0_27 ),
    inference(resolution,[],[f782,f36]) ).

fof(f782,plain,
    ( 'LE'(f(suc(suc(suc(z)))),s(s('0')))
    | spl0_27 ),
    inference(resolution,[],[f408,f61]) ).

fof(f408,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(suc(z))))))
    | spl0_27 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f798,plain,
    ( spl0_11
    | spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f797,f406,f247,f192]) ).

fof(f797,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | spl0_15
    | spl0_27 ),
    inference(subsumption_resolution,[],[f788,f248]) ).

fof(f788,plain,
    ( 'E'(s('0'),f(suc(suc(suc(z)))))
    | 'LE'(f(suc(z)),s('0'))
    | spl0_27 ),
    inference(resolution,[],[f782,f41]) ).

fof(f794,plain,
    ( spl0_11
    | spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f771,f216,f105,f192]) ).

fof(f105,plain,
    ( spl0_1
  <=> 'E'(s('0'),f(suc(z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f771,plain,
    ( 'E'(s('0'),f(suc(z)))
    | 'LE'(f(suc(z)),s('0'))
    | spl0_13 ),
    inference(resolution,[],[f767,f10]) ).

fof(f767,plain,
    ( 'LE'(f(suc(z)),s(s('0')))
    | spl0_13 ),
    inference(resolution,[],[f218,f61]) ).

fof(f764,plain,
    ( ~ spl0_27
    | spl0_9
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f763,f303,f182,f406]) ).

fof(f303,plain,
    ( spl0_21
  <=> 'E'(s(s('0')),f(suc(suc(suc(z))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f763,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(suc(z))))))
    | spl0_9
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f762,f304]) ).

fof(f304,plain,
    ( 'E'(s(s('0')),f(suc(suc(suc(z)))))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f762,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(suc(z))))))
    | ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
    | spl0_9 ),
    inference(resolution,[],[f184,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(subsumption_resolution,[],[f126,f5]) ).

fof(f5,axiom,
    ! [X3] :
      ( iLEQ(suc(X3),suc(X3))
      | 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_26) ).

fof(f126,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(duplicate_literal_removal,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(factoring,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(X1)) ),
    inference(subsumption_resolution,[],[f94,f5]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(X1)) ),
    inference(duplicate_literal_removal,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X1)) ),
    inference(factoring,[],[f13]) ).

fof(f13,axiom,
    ! [X3,X4,X5] :
      ( 'E'(f(X5),f(suc(X5)))
      | 'E'(f(X4),f(suc(X4)))
      | 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ iLEQ(suc(X3),suc(X4))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X3)))
      | ~ 'E'(s(s('0')),f(X4))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | ~ 'E'(s(s('0')),f(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_311) ).

fof(f184,plain,
    ( ~ 'E'(f(suc(suc(suc(z)))),f(suc(suc(suc(suc(z))))))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f709,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_40 ),
    inference(avatar_split_clause,[],[f669,f613,f168,f164]) ).

fof(f164,plain,
    ( spl0_6
  <=> 'E'(s(s('0')),f(z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f168,plain,
    ( spl0_7
  <=> 'E'(s(s('0')),f(suc(z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f613,plain,
    ( spl0_40
  <=> 'E'(f(z),f(suc(z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f669,plain,
    ( ~ 'E'(s(s('0')),f(suc(z)))
    | ~ 'E'(s(s('0')),f(z))
    | spl0_40 ),
    inference(resolution,[],[f615,f127]) ).

fof(f615,plain,
    ( ~ 'E'(f(z),f(suc(z)))
    | spl0_40 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f706,plain,
    ( spl0_19
    | spl0_4
    | spl0_21 ),
    inference(avatar_split_clause,[],[f705,f303,f156,f278]) ).

fof(f705,plain,
    ( 'LE'(f(z),s('0'))
    | spl0_4
    | spl0_21 ),
    inference(subsumption_resolution,[],[f317,f157]) ).

fof(f317,plain,
    ( 'E'(s('0'),f(suc(suc(z))))
    | 'LE'(f(z),s('0'))
    | spl0_21 ),
    inference(resolution,[],[f309,f41]) ).

fof(f309,plain,
    ( 'LE'(f(suc(suc(z))),s(s('0')))
    | spl0_21 ),
    inference(resolution,[],[f305,f61]) ).

fof(f305,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f704,plain,
    ( spl0_11
    | spl0_4
    | spl0_21 ),
    inference(avatar_split_clause,[],[f703,f303,f156,f192]) ).

fof(f703,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | spl0_4
    | spl0_21 ),
    inference(subsumption_resolution,[],[f318,f157]) ).

fof(f318,plain,
    ( 'E'(s('0'),f(suc(suc(z))))
    | 'LE'(f(suc(z)),s('0'))
    | spl0_21 ),
    inference(resolution,[],[f309,f36]) ).

fof(f699,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f650,f211,f160,f109]) ).

fof(f211,plain,
    ( spl0_12
  <=> 'E'('0',f(suc(suc(z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f650,plain,
    ( ~ 'E'('0',f(suc(z)))
    | ~ 'E'('0',f(z))
    | ~ spl0_12 ),
    inference(resolution,[],[f212,f51]) ).

fof(f51,plain,
    ! [X8] :
      ( ~ 'E'('0',f(suc(suc(X8))))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(X8)) ),
    inference(subsumption_resolution,[],[f50,f45]) ).

fof(f45,plain,
    ! [X8] :
      ( 'E'(f(X8),f(suc(X8)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(X8)) ),
    inference(subsumption_resolution,[],[f16,f9]) ).

fof(f9,axiom,
    ! [X8,X9,X7] :
      ( 'E'(f(X9),f(suc(X9)))
      | 'E'(f(X7),f(suc(X7)))
      | 'E'(f(X8),f(suc(X8)))
      | ~ iLEQ(suc(X7),suc(X9))
      | ~ iLEQ(suc(X8),suc(X7))
      | ~ 'E'('0',f(X9))
      | ~ 'E'('0',f(suc(X9)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(X8))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(X7)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_16) ).

fof(f16,axiom,
    ! [X8] :
      ( iLEQ(suc(X8),suc(X8))
      | 'E'(f(X8),f(suc(X8)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(X8)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_86) ).

fof(f50,plain,
    ! [X8] :
      ( ~ 'E'('0',f(X8))
      | ~ 'E'(f(X8),f(suc(X8)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(suc(suc(X8)))) ),
    inference(subsumption_resolution,[],[f28,f14]) ).

fof(f14,axiom,
    ! [X8,X9,X7] :
      ( ~ 'E'('0',f(suc(suc(X8))))
      | ~ iLEQ(suc(X8),suc(X7))
      | ~ 'E'(f(X9),f(suc(X9)))
      | ~ 'E'('0',f(X9))
      | ~ 'E'('0',f(suc(X9)))
      | ~ 'E'(f(X8),f(suc(X8)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'(f(X7),f(suc(X7)))
      | ~ iLEQ(suc(X7),suc(X9))
      | ~ 'E'('0',f(X8))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(suc(suc(X9))))
      | ~ 'E'('0',f(suc(suc(X7))))
      | ~ 'E'('0',f(X7)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_83) ).

fof(f28,axiom,
    ! [X8] :
      ( iLEQ(suc(X8),suc(X8))
      | ~ 'E'('0',f(X8))
      | ~ 'E'(f(X8),f(suc(X8)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(suc(suc(X8)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_116) ).

fof(f212,plain,
    ( 'E'('0',f(suc(suc(z))))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f692,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | spl0_40 ),
    inference(avatar_split_clause,[],[f691,f613,f105,f177]) ).

fof(f177,plain,
    ( spl0_8
  <=> 'E'(s('0'),f(z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f691,plain,
    ( ~ 'E'(s('0'),f(z))
    | ~ spl0_1
    | spl0_40 ),
    inference(subsumption_resolution,[],[f668,f107]) ).

fof(f107,plain,
    ( 'E'(s('0'),f(suc(z)))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f668,plain,
    ( ~ 'E'(s('0'),f(z))
    | ~ 'E'(s('0'),f(suc(z)))
    | spl0_40 ),
    inference(resolution,[],[f615,f124]) ).

fof(f124,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f123,f21]) ).

fof(f21,axiom,
    ! [X1] :
      ( iLEQ(suc(X1),suc(X1))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_60) ).

fof(f123,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ iLEQ(suc(X0),suc(X0)) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s('0'),f(suc(X0))) ),
    inference(factoring,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s('0'),f(suc(X1))) ),
    inference(subsumption_resolution,[],[f83,f21]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s('0'),f(suc(X1))) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0)) ),
    inference(factoring,[],[f29]) ).

fof(f29,axiom,
    ! [X2,X0,X1] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'(s('0'),f(X2))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_340) ).

fof(f638,plain,
    ( spl0_15
    | spl0_11
    | spl0_21 ),
    inference(avatar_split_clause,[],[f308,f303,f192,f247]) ).

fof(f308,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | 'E'(s('0'),f(suc(suc(suc(z)))))
    | spl0_21 ),
    inference(resolution,[],[f305,f58]) ).

fof(f637,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f636,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f635,f158]) ).

fof(f158,plain,
    ( 'E'(s('0'),f(suc(suc(z))))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f635,plain,
    ( ~ 'E'(s('0'),f(suc(suc(z))))
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f633,f107]) ).

fof(f633,plain,
    ( ~ 'E'(s('0'),f(suc(z)))
    | ~ 'E'(s('0'),f(suc(suc(z))))
    | spl0_3 ),
    inference(resolution,[],[f115,f124]) ).

fof(f115,plain,
    ( ~ 'E'(f(suc(z)),f(suc(suc(z))))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl0_3
  <=> 'E'(f(suc(z)),f(suc(suc(z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f616,plain,
    ( spl0_19
    | ~ spl0_40
    | spl0_8 ),
    inference(avatar_split_clause,[],[f595,f177,f613,f278]) ).

fof(f595,plain,
    ( ~ 'E'(f(z),f(suc(z)))
    | 'LE'(f(z),s('0'))
    | spl0_8 ),
    inference(resolution,[],[f179,f73]) ).

fof(f73,plain,
    ! [X0] :
      ( 'E'(s('0'),f(X0))
      | ~ 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X0),s('0')) ),
    inference(resolution,[],[f72,f10]) ).

fof(f179,plain,
    ( ~ 'E'(s('0'),f(z))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f611,plain,
    ( spl0_19
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f608,f177,f168,f278]) ).

fof(f608,plain,
    ( 'LE'(f(z),s('0'))
    | spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f607,f179]) ).

fof(f607,plain,
    ( 'E'(s('0'),f(z))
    | 'LE'(f(z),s('0'))
    | spl0_7 ),
    inference(resolution,[],[f603,f10]) ).

fof(f603,plain,
    ( 'LE'(f(z),s(s('0')))
    | spl0_7 ),
    inference(resolution,[],[f170,f61]) ).

fof(f170,plain,
    ( ~ 'E'(s(s('0')),f(suc(z)))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f594,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f593,f247,f156,f105,f113]) ).

fof(f593,plain,
    ( ~ 'E'(f(suc(z)),f(suc(suc(z))))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f592,f107]) ).

fof(f592,plain,
    ( ~ 'E'(f(suc(z)),f(suc(suc(z))))
    | ~ 'E'(s('0'),f(suc(z)))
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f351,f158]) ).

fof(f351,plain,
    ( ~ 'E'(f(suc(z)),f(suc(suc(z))))
    | ~ 'E'(s('0'),f(suc(suc(z))))
    | ~ 'E'(s('0'),f(suc(z)))
    | ~ spl0_15 ),
    inference(resolution,[],[f249,f44]) ).

fof(f44,plain,
    ! [X1] :
      ( ~ 'E'(s('0'),f(suc(suc(X1))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1)) ),
    inference(subsumption_resolution,[],[f15,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ 'E'(s('0'),f(suc(suc(X0))))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(suc(X1))))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ 'E'(s('0'),f(suc(suc(X2))))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'(s('0'),f(X2))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_219) ).

fof(f15,axiom,
    ! [X1] :
      ( iLEQ(suc(X1),suc(X1))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(suc(X1)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_37) ).

fof(f249,plain,
    ( 'E'(s('0'),f(suc(suc(suc(z)))))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f590,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f589,f278,f109]) ).

fof(f589,plain,
    ( 'E'('0',f(z))
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f316,f34]) ).

fof(f316,plain,
    ( 'E'('0',f(z))
    | 'LE'(f(z),'0')
    | ~ spl0_19 ),
    inference(resolution,[],[f280,f40]) ).

fof(f280,plain,
    ( 'LE'(f(z),s('0'))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f588,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f587,f156,f105,f177]) ).

fof(f587,plain,
    ( ~ 'E'(s('0'),f(suc(z)))
    | ~ 'E'(s('0'),f(z))
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f340,f124]) ).

fof(f340,plain,
    ( ~ 'E'(f(z),f(suc(z)))
    | ~ 'E'(s('0'),f(suc(z)))
    | ~ 'E'(s('0'),f(z))
    | ~ spl0_4 ),
    inference(resolution,[],[f158,f44]) ).

fof(f577,plain,
    ( spl0_20
    | spl0_26
    | spl0_27 ),
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | spl0_20
    | spl0_26
    | spl0_27 ),
    inference(subsumption_resolution,[],[f575,f403]) ).

fof(f403,plain,
    ( ~ 'E'(s('0'),f(suc(suc(suc(suc(z))))))
    | spl0_26 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl0_26
  <=> 'E'(s('0'),f(suc(suc(suc(suc(z)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f575,plain,
    ( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
    | spl0_20
    | spl0_27 ),
    inference(subsumption_resolution,[],[f571,f285]) ).

fof(f285,plain,
    ( ~ 'LE'(f(suc(suc(z))),s('0'))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f571,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | 'E'(s('0'),f(suc(suc(suc(suc(z))))))
    | spl0_27 ),
    inference(resolution,[],[f408,f58]) ).

fof(f569,plain,
    ( ~ spl0_27
    | ~ spl0_28
    | spl0_16 ),
    inference(avatar_split_clause,[],[f559,f261,f410,f406]) ).

fof(f410,plain,
    ( spl0_28
  <=> 'E'(s(s('0')),f(suc(suc(suc(suc(suc(z))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f261,plain,
    ( spl0_16
  <=> 'E'(f(suc(suc(suc(suc(z))))),f(suc(suc(suc(suc(suc(z))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f559,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(suc(suc(z)))))))
    | ~ 'E'(s(s('0')),f(suc(suc(suc(suc(z))))))
    | spl0_16 ),
    inference(resolution,[],[f263,f127]) ).

fof(f263,plain,
    ( ~ 'E'(f(suc(suc(suc(suc(z))))),f(suc(suc(suc(suc(suc(z)))))))
    | spl0_16 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f565,plain,
    ( spl0_20
    | spl0_26
    | spl0_28 ),
    inference(avatar_contradiction_clause,[],[f564]) ).

fof(f564,plain,
    ( $false
    | spl0_20
    | spl0_26
    | spl0_28 ),
    inference(subsumption_resolution,[],[f563,f285]) ).

fof(f563,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | spl0_26
    | spl0_28 ),
    inference(subsumption_resolution,[],[f560,f403]) ).

fof(f560,plain,
    ( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
    | 'LE'(f(suc(suc(z))),s('0'))
    | spl0_28 ),
    inference(resolution,[],[f426,f41]) ).

fof(f426,plain,
    ( 'LE'(f(suc(suc(suc(suc(z))))),s(s('0')))
    | spl0_28 ),
    inference(resolution,[],[f412,f61]) ).

fof(f412,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(suc(suc(z)))))))
    | spl0_28 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f509,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f508]) ).

fof(f508,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f507,f158]) ).

fof(f507,plain,
    ( ~ 'E'(s('0'),f(suc(suc(z))))
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f506,f249]) ).

fof(f506,plain,
    ( ~ 'E'(s('0'),f(suc(suc(suc(z)))))
    | ~ 'E'(s('0'),f(suc(suc(z))))
    | ~ spl0_17
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f504,f266]) ).

fof(f266,plain,
    ( 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f504,plain,
    ( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
    | ~ 'E'(s('0'),f(suc(suc(suc(z)))))
    | ~ 'E'(s('0'),f(suc(suc(z))))
    | ~ spl0_26 ),
    inference(resolution,[],[f402,f44]) ).

fof(f402,plain,
    ( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f480,plain,
    ( ~ spl0_16
    | spl0_26
    | spl0_20 ),
    inference(avatar_split_clause,[],[f348,f284,f401,f261]) ).

fof(f348,plain,
    ( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
    | ~ 'E'(f(suc(suc(suc(suc(z))))),f(suc(suc(suc(suc(suc(z)))))))
    | spl0_20 ),
    inference(resolution,[],[f285,f75]) ).

fof(f338,plain,
    ( spl0_15
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f337,f303,f284,f247]) ).

fof(f337,plain,
    ( 'E'(s('0'),f(suc(suc(suc(z)))))
    | spl0_20
    | spl0_21 ),
    inference(subsumption_resolution,[],[f310,f285]) ).

fof(f310,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | 'E'(s('0'),f(suc(suc(suc(z)))))
    | spl0_21 ),
    inference(resolution,[],[f305,f55]) ).

fof(f335,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | spl0_17 ),
    inference(avatar_split_clause,[],[f334,f265,f156,f247]) ).

fof(f334,plain,
    ( ~ 'E'(s('0'),f(suc(suc(suc(z)))))
    | ~ spl0_4
    | spl0_17 ),
    inference(subsumption_resolution,[],[f300,f158]) ).

fof(f300,plain,
    ( ~ 'E'(s('0'),f(suc(suc(z))))
    | ~ 'E'(s('0'),f(suc(suc(suc(z)))))
    | spl0_17 ),
    inference(resolution,[],[f267,f124]) ).

fof(f267,plain,
    ( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f331,plain,
    ( spl0_20
    | spl0_4
    | spl0_21 ),
    inference(avatar_split_clause,[],[f319,f303,f156,f284]) ).

fof(f319,plain,
    ( 'E'(s('0'),f(suc(suc(z))))
    | 'LE'(f(suc(suc(z))),s('0'))
    | spl0_21 ),
    inference(resolution,[],[f309,f10]) ).

fof(f327,plain,
    ( spl0_12
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f326]) ).

fof(f326,plain,
    ( $false
    | spl0_12
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f325,f34]) ).

fof(f325,plain,
    ( 'LE'(f(z),'0')
    | spl0_12
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f322,f213]) ).

fof(f213,plain,
    ( ~ 'E'('0',f(suc(suc(z))))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f322,plain,
    ( 'E'('0',f(suc(suc(z))))
    | 'LE'(f(z),'0')
    | ~ spl0_20 ),
    inference(resolution,[],[f286,f23]) ).

fof(f23,axiom,
    ! [X12] :
      ( ~ 'LE'(f(suc(suc(X12))),s('0'))
      | 'E'('0',f(suc(suc(X12))))
      | 'LE'(f(X12),'0') ),
    file('/export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943',clause_72) ).

fof(f286,plain,
    ( 'LE'(f(suc(suc(z))),s('0'))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f315,plain,
    ( spl0_19
    | spl0_1
    | spl0_21 ),
    inference(avatar_split_clause,[],[f314,f303,f105,f278]) ).

fof(f314,plain,
    ( 'LE'(f(z),s('0'))
    | spl0_1
    | spl0_21 ),
    inference(subsumption_resolution,[],[f312,f106]) ).

fof(f106,plain,
    ( ~ 'E'(s('0'),f(suc(z)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f312,plain,
    ( 'E'(s('0'),f(suc(z)))
    | 'LE'(f(z),s('0'))
    | spl0_21 ),
    inference(resolution,[],[f307,f36]) ).

fof(f307,plain,
    ( 'LE'(f(suc(z)),s(s('0')))
    | spl0_21 ),
    inference(resolution,[],[f305,f68]) ).

fof(f306,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | spl0_17 ),
    inference(avatar_split_clause,[],[f301,f265,f303,f216]) ).

fof(f301,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
    | ~ 'E'(s(s('0')),f(suc(suc(z))))
    | spl0_17 ),
    inference(resolution,[],[f267,f127]) ).

fof(f287,plain,
    ( spl0_20
    | ~ spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f282,f156,f265,f284]) ).

fof(f282,plain,
    ( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
    | 'LE'(f(suc(suc(z))),s('0'))
    | spl0_4 ),
    inference(resolution,[],[f157,f73]) ).

fof(f281,plain,
    ( spl0_8
    | spl0_19
    | spl0_6 ),
    inference(avatar_split_clause,[],[f276,f164,f278,f177]) ).

fof(f276,plain,
    ( 'LE'(f(z),s('0'))
    | 'E'(s('0'),f(z))
    | spl0_6 ),
    inference(resolution,[],[f166,f52]) ).

fof(f166,plain,
    ( ~ 'E'(s(s('0')),f(z))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f250,plain,
    ( spl0_15
    | spl0_12
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f245,f182,f211,f247]) ).

fof(f245,plain,
    ( ~ 'E'(f(suc(suc(suc(z)))),f(suc(suc(suc(suc(z))))))
    | 'E'('0',f(suc(suc(z))))
    | 'E'(s('0'),f(suc(suc(suc(z))))) ),
    inference(resolution,[],[f90,f34]) ).

fof(f90,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'(f(suc(suc(suc(X0)))),f(suc(suc(suc(suc(X0))))))
      | 'E'('0',f(suc(suc(X0))))
      | 'E'(s('0'),f(suc(suc(suc(X0))))) ),
    inference(resolution,[],[f74,f23]) ).

fof(f238,plain,
    ( spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f237,f192,f160]) ).

fof(f237,plain,
    ( 'E'('0',f(suc(z)))
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f226,f34]) ).

fof(f226,plain,
    ( 'E'('0',f(suc(z)))
    | 'LE'(f(z),'0')
    | ~ spl0_11 ),
    inference(resolution,[],[f194,f30]) ).

fof(f194,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f225,plain,
    ( spl0_11
    | spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f224,f168,f105,f192]) ).

fof(f224,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f222,f106]) ).

fof(f222,plain,
    ( 'LE'(f(suc(z)),s('0'))
    | 'E'(s('0'),f(suc(z)))
    | spl0_7 ),
    inference(resolution,[],[f170,f52]) ).

fof(f219,plain,
    ( ~ spl0_7
    | ~ spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f209,f113,f216,f168]) ).

fof(f209,plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(z))))
    | ~ 'E'(s(s('0')),f(suc(z)))
    | spl0_3 ),
    inference(resolution,[],[f115,f127]) ).

fof(f214,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f113,f211,f160]) ).

fof(f203,plain,
    ( ~ 'E'('0',f(suc(suc(z))))
    | ~ 'E'('0',f(suc(z)))
    | spl0_3 ),
    inference(resolution,[],[f115,f45]) ).

fof(f195,plain,
    ( spl0_11
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f190,f105,f113,f192]) ).

fof(f190,plain,
    ( ~ 'E'(f(suc(z)),f(suc(suc(z))))
    | 'LE'(f(suc(z)),s('0'))
    | spl0_1 ),
    inference(resolution,[],[f106,f73]) ).

fof(f116,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f103,f113,f109,f105]) ).

fof(f103,plain,
    ( ~ 'E'(f(suc(z)),f(suc(suc(z))))
    | 'E'('0',f(z))
    | 'E'(s('0'),f(suc(z))) ),
    inference(resolution,[],[f88,f34]) ).

fof(f88,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'(f(suc(X0)),f(suc(suc(X0))))
      | 'E'('0',f(X0))
      | 'E'(s('0'),f(suc(X0))) ),
    inference(resolution,[],[f74,f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYO671-1 : TPTP v8.1.2. Released v7.3.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 16:08:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.zWTDLLX0U1/Vampire---4.8_25943
% 0.62/0.80  % (26055)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80  % (26056)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80  % (26054)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80  % (26051)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80  % (26053)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (26053)Refutation not found, incomplete strategy% (26053)------------------------------
% 0.62/0.80  % (26053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26051)Refutation not found, incomplete strategy% (26051)------------------------------
% 0.62/0.80  % (26051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26051)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26051)Memory used [KB]: 1004
% 0.62/0.80  % (26051)Time elapsed: 0.002 s
% 0.62/0.80  % (26051)Instructions burned: 2 (million)
% 0.62/0.80  % (26053)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26053)Memory used [KB]: 956
% 0.62/0.80  % (26053)Time elapsed: 0.002 s
% 0.62/0.80  % (26053)Instructions burned: 2 (million)
% 0.62/0.80  % (26057)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.80  % (26054)Refutation not found, incomplete strategy% (26054)------------------------------
% 0.62/0.80  % (26054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26054)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26054)Memory used [KB]: 1004
% 0.62/0.80  % (26054)Time elapsed: 0.002 s
% 0.62/0.80  % (26054)Instructions burned: 2 (million)
% 0.62/0.80  % (26058)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.80  % (26051)------------------------------
% 0.62/0.80  % (26051)------------------------------
% 0.62/0.80  % (26053)------------------------------
% 0.62/0.80  % (26053)------------------------------
% 0.62/0.80  % (26054)------------------------------
% 0.62/0.80  % (26054)------------------------------
% 0.62/0.80  % (26052)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.80  % (26058)Refutation not found, incomplete strategy% (26058)------------------------------
% 0.62/0.80  % (26058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26058)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26058)Memory used [KB]: 956
% 0.62/0.80  % (26057)Refutation not found, incomplete strategy% (26057)------------------------------
% 0.62/0.80  % (26057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26058)Time elapsed: 0.002 s
% 0.62/0.80  % (26058)Instructions burned: 2 (million)
% 0.62/0.80  % (26057)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26056)Refutation not found, incomplete strategy% (26056)------------------------------
% 0.62/0.80  % (26056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26056)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26056)Memory used [KB]: 956
% 0.62/0.80  % (26056)Time elapsed: 0.003 s
% 0.62/0.80  % (26056)Instructions burned: 2 (million)
% 0.62/0.80  % (26057)Memory used [KB]: 1004
% 0.62/0.80  % (26057)Time elapsed: 0.002 s
% 0.62/0.80  % (26057)Instructions burned: 3 (million)
% 0.62/0.80  % (26058)------------------------------
% 0.62/0.80  % (26058)------------------------------
% 0.62/0.80  % (26056)------------------------------
% 0.62/0.80  % (26056)------------------------------
% 0.62/0.80  % (26057)------------------------------
% 0.62/0.80  % (26057)------------------------------
% 0.62/0.80  % (26055)Refutation not found, incomplete strategy% (26055)------------------------------
% 0.62/0.80  % (26055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26055)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26055)Memory used [KB]: 1070
% 0.62/0.80  % (26055)Time elapsed: 0.004 s
% 0.62/0.80  % (26055)Instructions burned: 6 (million)
% 0.62/0.80  % (26055)------------------------------
% 0.62/0.80  % (26055)------------------------------
% 0.62/0.80  % (26059)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.80  % (26060)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.80  % (26061)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80  % (26062)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.80  % (26063)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.80  % (26061)Refutation not found, incomplete strategy% (26061)------------------------------
% 0.62/0.80  % (26061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26061)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26061)Memory used [KB]: 956
% 0.62/0.80  % (26061)Time elapsed: 0.002 s
% 0.62/0.80  % (26061)Instructions burned: 2 (million)
% 0.62/0.80  % (26064)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.80  % (26061)------------------------------
% 0.62/0.80  % (26061)------------------------------
% 0.62/0.80  % (26062)Refutation not found, incomplete strategy% (26062)------------------------------
% 0.62/0.80  % (26062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26062)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26062)Memory used [KB]: 956
% 0.62/0.80  % (26062)Time elapsed: 0.002 s
% 0.62/0.80  % (26062)Instructions burned: 2 (million)
% 0.62/0.80  % (26063)Refutation not found, incomplete strategy% (26063)------------------------------
% 0.62/0.80  % (26063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (26063)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (26063)Memory used [KB]: 1004
% 0.62/0.80  % (26063)Time elapsed: 0.002 s
% 0.62/0.80  % (26063)Instructions burned: 2 (million)
% 0.62/0.81  % (26062)------------------------------
% 0.62/0.81  % (26062)------------------------------
% 0.62/0.81  % (26065)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.81  % (26063)------------------------------
% 0.62/0.81  % (26063)------------------------------
% 0.62/0.81  % (26064)Refutation not found, incomplete strategy% (26064)------------------------------
% 0.62/0.81  % (26064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (26064)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26064)Memory used [KB]: 1011
% 0.62/0.81  % (26064)Time elapsed: 0.002 s
% 0.62/0.81  % (26064)Instructions burned: 3 (million)
% 0.62/0.81  % (26065)Refutation not found, incomplete strategy% (26065)------------------------------
% 0.62/0.81  % (26065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (26065)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26065)Memory used [KB]: 1005
% 0.62/0.81  % (26065)Time elapsed: 0.002 s
% 0.62/0.81  % (26065)Instructions burned: 2 (million)
% 0.62/0.81  % (26064)------------------------------
% 0.62/0.81  % (26064)------------------------------
% 0.62/0.81  % (26065)------------------------------
% 0.62/0.81  % (26065)------------------------------
% 0.62/0.81  % (26059)Refutation not found, incomplete strategy% (26059)------------------------------
% 0.62/0.81  % (26059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (26059)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26059)Memory used [KB]: 1123
% 0.62/0.81  % (26059)Time elapsed: 0.005 s
% 0.62/0.81  % (26059)Instructions burned: 10 (million)
% 0.62/0.81  % (26066)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.81  % (26059)------------------------------
% 0.62/0.81  % (26059)------------------------------
% 0.62/0.81  % (26067)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.62/0.81  % (26068)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.62/0.81  % (26069)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.62/0.81  % (26070)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.62/0.81  % (26069)Refutation not found, incomplete strategy% (26069)------------------------------
% 0.62/0.81  % (26069)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (26069)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26069)Memory used [KB]: 1070
% 0.62/0.81  % (26069)Time elapsed: 0.003 s
% 0.62/0.81  % (26069)Instructions burned: 4 (million)
% 0.62/0.81  % (26069)------------------------------
% 0.62/0.81  % (26069)------------------------------
% 0.62/0.81  % (26060)Refutation not found, incomplete strategy% (26060)------------------------------
% 0.62/0.81  % (26060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (26060)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26060)Memory used [KB]: 1107
% 0.62/0.81  % (26060)Time elapsed: 0.008 s
% 0.62/0.81  % (26060)Instructions burned: 18 (million)
% 0.62/0.81  % (26060)------------------------------
% 0.62/0.81  % (26060)------------------------------
% 0.62/0.81  % (26071)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.62/0.81  % (26071)Refutation not found, incomplete strategy% (26071)------------------------------
% 0.62/0.81  % (26071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (26071)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26071)Memory used [KB]: 956
% 0.62/0.81  % (26071)Time elapsed: 0.002 s
% 0.62/0.81  % (26071)Instructions burned: 3 (million)
% 0.62/0.81  % (26071)------------------------------
% 0.62/0.81  % (26071)------------------------------
% 0.62/0.81  % (26072)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.81  % (26073)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.62/0.82  % (26073)Refutation not found, incomplete strategy% (26073)------------------------------
% 0.62/0.82  % (26073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (26073)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (26073)Memory used [KB]: 1004
% 0.62/0.82  % (26073)Time elapsed: 0.002 s
% 0.62/0.82  % (26073)Instructions burned: 2 (million)
% 0.62/0.82  % (26073)------------------------------
% 0.62/0.82  % (26073)------------------------------
% 0.62/0.82  % (26074)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.62/0.82  % (26072)Refutation not found, incomplete strategy% (26072)------------------------------
% 0.62/0.82  % (26072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (26072)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (26072)Memory used [KB]: 1077
% 0.62/0.82  % (26072)Time elapsed: 0.004 s
% 0.62/0.82  % (26072)Instructions burned: 6 (million)
% 0.62/0.82  % (26072)------------------------------
% 0.62/0.82  % (26072)------------------------------
% 0.62/0.82  % (26075)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.62/0.82  % (26052)Instruction limit reached!
% 0.62/0.82  % (26052)------------------------------
% 0.62/0.82  % (26052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (26052)Termination reason: Unknown
% 0.62/0.82  % (26075)Refutation not found, incomplete strategy% (26075)------------------------------
% 0.62/0.82  % (26075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (26052)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (26052)Memory used [KB]: 1253
% 0.62/0.82  % (26052)Time elapsed: 0.020 s
% 0.62/0.82  % (26052)Instructions burned: 51 (million)
% 0.62/0.82  % (26052)------------------------------
% 0.62/0.82  % (26052)------------------------------
% 0.62/0.82  % (26075)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (26075)Memory used [KB]: 956
% 0.62/0.82  % (26075)Time elapsed: 0.002 s
% 0.62/0.82  % (26075)Instructions burned: 2 (million)
% 0.62/0.82  % (26075)------------------------------
% 0.62/0.82  % (26075)------------------------------
% 0.62/0.82  % (26076)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.62/0.82  % (26076)Refutation not found, incomplete strategy% (26076)------------------------------
% 0.62/0.82  % (26076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (26076)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (26076)Memory used [KB]: 1005
% 0.62/0.82  % (26076)Time elapsed: 0.002 s
% 0.62/0.82  % (26076)Instructions burned: 3 (million)
% 0.62/0.82  % (26076)------------------------------
% 0.62/0.82  % (26076)------------------------------
% 0.62/0.82  % (26077)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.62/0.82  % (26078)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.62/0.82  % (26070)Instruction limit reached!
% 0.62/0.82  % (26070)------------------------------
% 0.62/0.82  % (26070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (26070)Termination reason: Unknown
% 0.62/0.82  % (26070)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (26070)Memory used [KB]: 1307
% 0.62/0.82  % (26070)Time elapsed: 0.016 s
% 0.62/0.82  % (26070)Instructions burned: 32 (million)
% 0.62/0.82  % (26070)------------------------------
% 0.62/0.82  % (26070)------------------------------
% 0.62/0.82  % (26079)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.62/0.83  % (26079)Refutation not found, incomplete strategy% (26079)------------------------------
% 0.62/0.83  % (26079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (26079)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (26079)Memory used [KB]: 1006
% 0.62/0.83  % (26079)Time elapsed: 0.003 s
% 0.62/0.83  % (26079)Instructions burned: 5 (million)
% 0.62/0.83  % (26079)------------------------------
% 0.62/0.83  % (26079)------------------------------
% 0.62/0.83  % (26080)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.62/0.83  % (26081)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.62/0.83  % (26068)First to succeed.
% 0.62/0.83  % (26068)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26050"
% 0.62/0.83  % (26074)Instruction limit reached!
% 0.62/0.83  % (26074)------------------------------
% 0.62/0.83  % (26074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (26074)Termination reason: Unknown
% 0.62/0.83  % (26074)Termination phase: Saturation
% 0.62/0.83  
% 0.62/0.83  % (26074)Memory used [KB]: 1426
% 0.62/0.83  % (26074)Time elapsed: 0.021 s
% 0.62/0.83  % (26074)Instructions burned: 48 (million)
% 0.62/0.83  % (26074)------------------------------
% 0.62/0.83  % (26074)------------------------------
% 0.62/0.84  % (26068)Refutation found. Thanks to Tanya!
% 0.62/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.84  % (26068)------------------------------
% 0.62/0.84  % (26068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84  % (26068)Termination reason: Refutation
% 0.62/0.84  
% 0.62/0.84  % (26068)Memory used [KB]: 1300
% 0.62/0.84  % (26068)Time elapsed: 0.027 s
% 0.62/0.84  % (26068)Instructions burned: 57 (million)
% 0.62/0.84  % (26050)Success in time 0.497 s
% 0.62/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------