TSTP Solution File: PUZ008-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 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 : n007.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 : Wed May  1 03:38:10 EDT 2024

% Result   : Unsatisfiable 0.63s 0.79s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  110 (  17 unt;   0 def)
%            Number of atoms       :  257 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  265 ( 118   ~; 126   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   25 (  24 usr;  22 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f279,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f38,f69,f75,f78,f80,f110,f118,f120,f122,f149,f152,f179,f197,f207,f216,f223,f233,f254,f263,f273,f278]) ).

fof(f278,plain,
    spl0_34,
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f277,plain,
    ( $false
    | spl0_34 ),
    inference(resolution,[],[f276,f3]) ).

fof(f3,axiom,
    ! [X0] : greater_or_equal(X0,n0),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',great_eq_base) ).

fof(f276,plain,
    ( ~ greater_or_equal(n0,n0)
    | spl0_34 ),
    inference(resolution,[],[f275,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( greater_or_equal(s(X0),s(X1))
      | ~ greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',great_eq_recursive) ).

fof(f275,plain,
    ( ~ greater_or_equal(s(n0),s(n0))
    | spl0_34 ),
    inference(resolution,[],[f274,f4]) ).

fof(f274,plain,
    ( ~ greater_or_equal(s(s(n0)),s(s(n0)))
    | spl0_34 ),
    inference(resolution,[],[f253,f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( safe(s(X0),s(X1))
      | ~ greater_or_equal(X0,X1) ),
    inference(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | safe(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',same_or_more_missionaries_is_safe) ).

fof(f253,plain,
    ( ~ safe(s(s(s(n0))),s(s(s(n0))))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_34
  <=> safe(s(s(s(n0))),s(s(s(n0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f273,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f249,f1]) ).

fof(f1,axiom,
    ! [X0] : safe(n0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',no_missionaries_is_safe) ).

fof(f249,plain,
    ( ~ safe(n0,n0)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_33
  <=> safe(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f263,plain,
    ~ spl0_32,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | ~ spl0_32 ),
    inference(resolution,[],[f245,f16]) ).

fof(f16,axiom,
    ! [X0] : ~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',prove_can_get_to_east_bank) ).

fof(f245,plain,
    ( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_32
  <=> achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f254,plain,
    ( spl0_32
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f239,f230,f251,f247,f243]) ).

fof(f230,plain,
    ( spl0_30
  <=> achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f239,plain,
    ( ~ safe(s(s(s(n0))),s(s(s(n0))))
    | ~ safe(n0,n0)
    | achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
    | ~ spl0_30 ),
    inference(resolution,[],[f232,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3)))
      | ~ safe(s(X2),s(X3))
      | ~ safe(X0,X1)
      | achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',missionary_and_cannibal_west_to_east) ).

fof(f232,plain,
    ( achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,plain,
    ( spl0_30
    | ~ spl0_13
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f226,f220,f90,f94,f230]) ).

fof(f94,plain,
    ( spl0_13
  <=> safe(s(n0),s(n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f90,plain,
    ( spl0_12
  <=> safe(s(s(n0)),s(s(n0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f220,plain,
    ( spl0_29
  <=> achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f226,plain,
    ( ~ safe(s(s(n0)),s(s(n0)))
    | ~ safe(s(n0),s(n0))
    | achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
    | ~ spl0_29 ),
    inference(resolution,[],[f222,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3)))
      | ~ safe(X2,X3)
      | ~ safe(s(X0),X1)
      | achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',missionary_east_to_west) ).

fof(f222,plain,
    ( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,plain,
    ( spl0_29
    | ~ spl0_3
    | ~ spl0_2
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f217,f213,f25,f29,f220]) ).

fof(f29,plain,
    ( spl0_3
  <=> safe(n0,s(n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f25,plain,
    ( spl0_2
  <=> safe(s(s(s(n0))),s(s(n0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f213,plain,
    ( spl0_28
  <=> achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f217,plain,
    ( ~ safe(s(s(s(n0))),s(s(n0)))
    | ~ safe(n0,s(n0))
    | achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
    | ~ spl0_28 ),
    inference(resolution,[],[f215,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ achievable(west(m(X0),c(s(s(X1)))),boatonwest,east(m(X2),c(X3)))
      | ~ safe(X2,s(s(X3)))
      | ~ safe(X0,X1)
      | achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(s(X3))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',two_cannibals_west_to_east) ).

fof(f215,plain,
    ( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,plain,
    ( spl0_28
    | ~ spl0_16
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f211,f204,f103,f107,f213]) ).

fof(f107,plain,
    ( spl0_16
  <=> safe(n0,s(s(s(n0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f103,plain,
    ( spl0_15
  <=> safe(s(s(s(n0))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f204,plain,
    ( spl0_27
  <=> achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f211,plain,
    ( ~ safe(s(s(s(n0))),n0)
    | ~ safe(n0,s(s(s(n0))))
    | achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
    | ~ spl0_27 ),
    inference(resolution,[],[f206,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3))))
      | ~ safe(X2,X3)
      | ~ safe(X0,s(X1))
      | achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',cannibal_east_to_west) ).

fof(f206,plain,
    ( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f207,plain,
    ( spl0_27
    | ~ spl0_9
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f199,f142,f62,f66,f204]) ).

fof(f66,plain,
    ( spl0_9
  <=> safe(n0,s(s(n0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f62,plain,
    ( spl0_8
  <=> safe(s(s(s(n0))),s(n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f142,plain,
    ( spl0_21
  <=> achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f199,plain,
    ( ~ safe(s(s(s(n0))),s(n0))
    | ~ safe(n0,s(s(n0)))
    | achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
    | ~ spl0_21 ),
    inference(resolution,[],[f144,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ achievable(west(m(s(s(X0))),c(X1)),boatonwest,east(m(X2),c(X3)))
      | ~ safe(s(s(X2)),X3)
      | ~ safe(X0,X1)
      | achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(X2))),c(X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',two_missionaries_west_to_east) ).

fof(f144,plain,
    ( achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f197,plain,
    ( spl0_21
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f196,f176,f94,f90,f142]) ).

fof(f176,plain,
    ( spl0_25
  <=> achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f196,plain,
    ( ~ safe(s(n0),s(n0))
    | ~ safe(s(s(n0)),s(s(n0)))
    | achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))
    | ~ spl0_25 ),
    inference(resolution,[],[f14,f178]) ).

fof(f178,plain,
    ( achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
      | ~ safe(X2,X3)
      | ~ safe(s(X0),s(X1))
      | achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',missionary_and_cannibal_east_to_west) ).

fof(f179,plain,
    ( spl0_25
    | ~ spl0_13
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f161,f115,f90,f94,f176]) ).

fof(f115,plain,
    ( spl0_17
  <=> achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f161,plain,
    ( ~ safe(s(s(n0)),s(s(n0)))
    | ~ safe(s(n0),s(n0))
    | achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))
    | ~ spl0_17 ),
    inference(resolution,[],[f11,f117]) ).

fof(f117,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f152,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f151]) ).

fof(f151,plain,
    ( $false
    | spl0_13 ),
    inference(resolution,[],[f150,f3]) ).

fof(f150,plain,
    ( ~ greater_or_equal(n0,n0)
    | spl0_13 ),
    inference(resolution,[],[f96,f18]) ).

fof(f96,plain,
    ( ~ safe(s(n0),s(n0))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f149,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f148]) ).

fof(f148,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f147,f3]) ).

fof(f147,plain,
    ( ~ greater_or_equal(n0,n0)
    | spl0_12 ),
    inference(resolution,[],[f146,f4]) ).

fof(f146,plain,
    ( ~ greater_or_equal(s(n0),s(n0))
    | spl0_12 ),
    inference(resolution,[],[f92,f18]) ).

fof(f92,plain,
    ( ~ safe(s(s(n0)),s(s(n0)))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f122,plain,
    spl0_16,
    inference(avatar_contradiction_clause,[],[f121]) ).

fof(f121,plain,
    ( $false
    | spl0_16 ),
    inference(resolution,[],[f109,f1]) ).

fof(f109,plain,
    ( ~ safe(n0,s(s(s(n0))))
    | spl0_16 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f120,plain,
    spl0_15,
    inference(avatar_contradiction_clause,[],[f119]) ).

fof(f119,plain,
    ( $false
    | spl0_15 ),
    inference(resolution,[],[f105,f17]) ).

fof(f17,plain,
    ! [X0] : safe(X0,n0),
    inference(resolution,[],[f2,f3]) ).

fof(f105,plain,
    ( ~ safe(s(s(s(n0))),n0)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f118,plain,
    ( spl0_17
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f113,f99,f66,f62,f115]) ).

fof(f99,plain,
    ( spl0_14
  <=> achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f113,plain,
    ( ~ safe(n0,s(s(n0)))
    | ~ safe(s(s(s(n0))),s(n0))
    | achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
    | ~ spl0_14 ),
    inference(resolution,[],[f101,f6]) ).

fof(f101,plain,
    ( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f110,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f83,f72,f107,f103,f99]) ).

fof(f72,plain,
    ( spl0_10
  <=> achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f83,plain,
    ( ~ safe(n0,s(s(s(n0))))
    | ~ safe(s(s(s(n0))),n0)
    | achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
    | ~ spl0_10 ),
    inference(resolution,[],[f74,f7]) ).

fof(f74,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f80,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f79]) ).

fof(f79,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f68,f1]) ).

fof(f68,plain,
    ( ~ safe(n0,s(s(n0)))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f78,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f77,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f76,f3]) ).

fof(f76,plain,
    ( ~ greater_or_equal(s(s(n0)),n0)
    | spl0_8 ),
    inference(resolution,[],[f64,f18]) ).

fof(f64,plain,
    ( ~ safe(s(s(s(n0))),s(n0))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f75,plain,
    ( spl0_10
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f70,f58,f29,f25,f72]) ).

fof(f58,plain,
    ( spl0_7
  <=> achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f70,plain,
    ( ~ safe(n0,s(n0))
    | ~ safe(s(s(s(n0))),s(s(n0)))
    | achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
    | ~ spl0_7 ),
    inference(resolution,[],[f60,f6]) ).

fof(f60,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f69,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f56,f66,f62,f58]) ).

fof(f56,plain,
    ( ~ safe(n0,s(s(n0)))
    | ~ safe(s(s(s(n0))),s(n0))
    | achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0))))) ),
    inference(resolution,[],[f7,f15]) ).

fof(f15,axiom,
    achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))),
    file('/export/starexec/sandbox2/tmp/tmp.lb3Dcz0P6Q/Vampire---4.8_20240',start_on_west_bank) ).

fof(f38,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f31,f1]) ).

fof(f31,plain,
    ( ~ safe(n0,s(n0))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f36,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f34,f3]) ).

fof(f34,plain,
    ( ~ greater_or_equal(s(n0),n0)
    | spl0_2 ),
    inference(resolution,[],[f33,f4]) ).

fof(f33,plain,
    ( ~ greater_or_equal(s(s(n0)),s(n0))
    | spl0_2 ),
    inference(resolution,[],[f27,f18]) ).

fof(f27,plain,
    ( ~ safe(s(s(s(n0))),s(s(n0)))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n007.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:20:18 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.16/0.36  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.lb3Dcz0P6Q/Vampire---4.8_20240
% 0.55/0.78  % (20476)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)
% 0.55/0.78  % (20478)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)
% 0.55/0.78  % (20478)Refutation not found, incomplete strategy% (20478)------------------------------
% 0.55/0.78  % (20478)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78  % (20476)Refutation not found, incomplete strategy% (20476)------------------------------
% 0.55/0.78  % (20476)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78  % (20476)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (20476)Memory used [KB]: 951
% 0.55/0.78  % (20476)Time elapsed: 0.001 s
% 0.55/0.78  % (20476)Instructions burned: 2 (million)
% 0.55/0.78  % (20476)------------------------------
% 0.55/0.78  % (20476)------------------------------
% 0.55/0.78  % (20478)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (20478)Memory used [KB]: 951
% 0.55/0.78  % (20478)Time elapsed: 0.001 s
% 0.55/0.78  % (20478)Instructions burned: 2 (million)
% 0.55/0.78  % (20478)------------------------------
% 0.55/0.78  % (20478)------------------------------
% 0.55/0.78  % (20471)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)
% 0.55/0.78  % (20472)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)
% 0.55/0.78  % (20474)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)
% 0.55/0.78  % (20473)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.78  % (20475)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)
% 0.55/0.78  % (20477)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)
% 0.55/0.78  % (20473)Refutation not found, incomplete strategy% (20473)------------------------------
% 0.55/0.78  % (20473)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78  % (20473)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (20473)Memory used [KB]: 951
% 0.55/0.78  % (20474)Refutation not found, incomplete strategy% (20474)------------------------------
% 0.55/0.78  % (20474)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78  % (20473)Time elapsed: 0.002 s
% 0.55/0.78  % (20474)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (20473)Instructions burned: 2 (million)
% 0.55/0.78  % (20473)------------------------------
% 0.55/0.78  % (20473)------------------------------
% 0.55/0.78  % (20474)Memory used [KB]: 952
% 0.55/0.78  % (20474)Time elapsed: 0.002 s
% 0.55/0.78  % (20474)Instructions burned: 2 (million)
% 0.55/0.78  % (20474)------------------------------
% 0.55/0.78  % (20474)------------------------------
% 0.63/0.78  % (20471)Refutation not found, incomplete strategy% (20471)------------------------------
% 0.63/0.78  % (20471)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (20471)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (20475)Refutation not found, incomplete strategy% (20475)------------------------------
% 0.63/0.78  % (20475)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (20471)Memory used [KB]: 973
% 0.63/0.78  % (20471)Time elapsed: 0.003 s
% 0.63/0.78  % (20471)Instructions burned: 3 (million)
% 0.63/0.78  % (20471)------------------------------
% 0.63/0.78  % (20471)------------------------------
% 0.63/0.78  % (20475)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (20475)Memory used [KB]: 964
% 0.63/0.78  % (20475)Time elapsed: 0.003 s
% 0.63/0.78  % (20475)Instructions burned: 3 (million)
% 0.63/0.78  % (20475)------------------------------
% 0.63/0.78  % (20475)------------------------------
% 0.63/0.78  % (20482)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)
% 0.63/0.78  % (20486)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)
% 0.63/0.78  % (20472)First to succeed.
% 0.63/0.78  % (20483)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)
% 0.63/0.78  % (20485)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)
% 0.63/0.79  % (20482)Also succeeded, but the first one will report.
% 0.63/0.79  % (20487)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)
% 0.63/0.79  % (20477)Also succeeded, but the first one will report.
% 0.63/0.79  % (20472)Refutation found. Thanks to Tanya!
% 0.63/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.79  % (20472)------------------------------
% 0.63/0.79  % (20472)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (20472)Termination reason: Refutation
% 0.63/0.79  
% 0.63/0.79  % (20472)Memory used [KB]: 1103
% 0.63/0.79  % (20472)Time elapsed: 0.007 s
% 0.63/0.79  % (20472)Instructions burned: 10 (million)
% 0.63/0.79  % (20472)------------------------------
% 0.63/0.79  % (20472)------------------------------
% 0.63/0.79  % (20408)Success in time 0.407 s
% 0.63/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------