TSTP Solution File: SYO634-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 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 : Sun May  5 12:24:00 EDT 2024

% Result   : Unsatisfiable 0.71s 0.88s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   89 (   5 unt;   0 def)
%            Number of atoms       :  294 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  364 ( 159   ~; 185   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :   14 (   5 avg)
%            Number of predicates  :   22 (  21 usr;  21 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :  116 ( 116   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f120,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f40,f62,f66,f70,f74,f81,f85,f89,f93,f96,f99,f101,f103,f107,f109,f111,f113,f115,f117,f119]) ).

fof(f119,plain,
    ( ~ spl0_17
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(resolution,[],[f92,f80]) ).

fof(f80,plain,
    ( ! [X12] : ~ 'E'(f(X12),'0')
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_17
  <=> ! [X12] : ~ 'E'(f(X12),'0') ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f92,plain,
    ( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_20
  <=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f117,plain,
    ( ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(resolution,[],[f49,f65]) ).

fof(f65,plain,
    ( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_13
  <=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f49,plain,
    ( ! [X5] : ~ 'E'(f(X5),s(s(s(s('0')))))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_8
  <=> ! [X5] : ~ 'E'(f(X5),s(s(s(s('0'))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f115,plain,
    ( ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f114]) ).

fof(f114,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f61,f77]) ).

fof(f77,plain,
    ( ! [X4] : ~ 'E'(f(X4),s('0'))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl0_16
  <=> ! [X4] : ~ 'E'(f(X4),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f61,plain,
    ( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_12
  <=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f113,plain,
    ( ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(resolution,[],[f84,f52]) ).

fof(f52,plain,
    ( ! [X6] : ~ 'E'(f(X6),s(s('0')))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_9
  <=> ! [X6] : ~ 'E'(f(X6),s(s('0'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f84,plain,
    ( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl0_18
  <=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f111,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f26,f9]) ).

fof(f9,axiom,
    ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_17_09) ).

fof(f26,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_1
  <=> ! [X0] : ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f109,plain,
    ( ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f108]) ).

fof(f108,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(resolution,[],[f43,f104]) ).

fof(f104,plain,
    ( ! [X0] : 'E'(f(X0),s(s(s(s(s('0'))))))
    | ~ spl0_19 ),
    inference(resolution,[],[f88,f3]) ).

fof(f3,axiom,
    ! [X11] : 'E'(f(X11),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_11_03) ).

fof(f88,plain,
    ( ! [X1] :
        ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
        | 'E'(f(X1),s(s(s(s(s('0')))))) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_19
  <=> ! [X1] :
        ( 'E'(f(X1),s(s(s(s(s('0'))))))
        | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f43,plain,
    ( ! [X3] : ~ 'E'(f(X3),s(s(s(s(s('0'))))))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl0_6
  <=> ! [X3] : ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f107,plain,
    ( ~ spl0_4
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f106]) ).

fof(f106,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(resolution,[],[f105,f36]) ).

fof(f36,plain,
    ( ! [X7] : ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_4
  <=> ! [X7] : ~ 'E'(f(X7),s(s(s(s(s(s(s('0')))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f105,plain,
    ( ! [X0] : 'E'(f(X0),s(s(s(s(s(s(s('0'))))))))
    | ~ spl0_14 ),
    inference(resolution,[],[f69,f3]) ).

fof(f69,plain,
    ( ! [X1] :
        ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
        | 'E'(f(X1),s(s(s(s(s(s(s('0')))))))) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl0_14
  <=> ! [X1] :
        ( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
        | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f103,plain,
    ( ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f102]) ).

fof(f102,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(resolution,[],[f73,f55]) ).

fof(f55,plain,
    ( ! [X8] : ~ 'E'(f(X8),s(s(s('0'))))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_10
  <=> ! [X8] : ~ 'E'(f(X8),s(s(s('0')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f73,plain,
    ( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_15
  <=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f101,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f100]) ).

fof(f100,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f46,f3]) ).

fof(f46,plain,
    ( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_7
  <=> ! [X1] : ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f99,plain,
    ( ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f97,f58]) ).

fof(f58,plain,
    ( ! [X9] : ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_11
  <=> ! [X9] : ~ 'E'(f(X9),s(s(s(s(s(s('0'))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f97,plain,
    ( ! [X0] : 'E'(f(X0),s(s(s(s(s(s('0')))))))
    | ~ spl0_5 ),
    inference(resolution,[],[f39,f3]) ).

fof(f39,plain,
    ( ! [X1] :
        ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
        | 'E'(f(X1),s(s(s(s(s(s('0'))))))) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_5
  <=> ! [X1] :
        ( 'E'(f(X1),s(s(s(s(s(s('0')))))))
        | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f96,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f95]) ).

fof(f95,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f94,f33]) ).

fof(f33,plain,
    ( ! [X2] : ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_3
  <=> ! [X2] : ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f94,plain,
    ( ! [X0] : 'E'(f(X0),s(s(s(s(s(s(s(s('0')))))))))
    | ~ spl0_2 ),
    inference(resolution,[],[f29,f3]) ).

fof(f29,plain,
    ( ! [X1] :
        ( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
        | 'E'(f(X1),s(s(s(s(s(s(s(s('0'))))))))) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_2
  <=> ! [X1] :
        ( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
        | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f93,plain,
    ( spl0_3
    | spl0_6
    | spl0_16
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_4
    | spl0_10
    | spl0_1
    | spl0_11
    | spl0_20 ),
    inference(avatar_split_clause,[],[f22,f91,f57,f25,f54,f35,f51,f48,f45,f76,f42,f32]) ).

fof(f22,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_10_22) ).

fof(f89,plain,
    ( spl0_3
    | spl0_4
    | spl0_1
    | spl0_11
    | spl0_19 ),
    inference(avatar_split_clause,[],[f20,f87,f57,f25,f35,f32]) ).

fof(f20,axiom,
    ! [X2,X0,X1,X9,X7] :
      ( 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_15_20) ).

fof(f85,plain,
    ( spl0_3
    | spl0_6
    | spl0_7
    | spl0_8
    | spl0_4
    | spl0_10
    | spl0_1
    | spl0_11
    | spl0_18 ),
    inference(avatar_split_clause,[],[f19,f83,f57,f25,f54,f35,f48,f45,f42,f32]) ).

fof(f19,axiom,
    ! [X2,X3,X10,X0,X1,X8,X9,X7,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_0_19) ).

fof(f81,plain,
    ( spl0_3
    | spl0_6
    | spl0_16
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_4
    | spl0_10
    | spl0_1
    | spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f17,f79,f57,f25,f54,f35,f51,f48,f45,f76,f42,f32]) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ 'E'(f(X12),'0')
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X4),s('0'))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_3_17) ).

fof(f74,plain,
    ( spl0_3
    | spl0_6
    | spl0_7
    | spl0_8
    | spl0_4
    | spl0_1
    | spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f15,f72,f57,f25,f35,f48,f45,f42,f32]) ).

fof(f15,axiom,
    ! [X2,X3,X10,X0,X1,X9,X7,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_18_15) ).

fof(f70,plain,
    ( spl0_1
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f14,f68,f32,f25]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_12_14) ).

fof(f66,plain,
    ( spl0_3
    | spl0_6
    | spl0_7
    | spl0_4
    | spl0_1
    | spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f12,f64,f57,f25,f35,f45,f42,f32]) ).

fof(f12,axiom,
    ! [X2,X3,X10,X0,X1,X9,X7] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_9_12) ).

fof(f62,plain,
    ( spl0_3
    | spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_4
    | spl0_10
    | spl0_1
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f60,f57,f25,f54,f35,f51,f48,f45,f42,f32]) ).

fof(f11,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
      | ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
      | ~ 'E'(f(X8),s(s(s('0'))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X6),s(s('0')))
      | ~ 'E'(f(X5),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X3),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_8_11) ).

fof(f40,plain,
    ( spl0_1
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f6,f38,f35,f32,f25]) ).

fof(f6,axiom,
    ! [X2,X0,X1,X7] :
      ( 'E'(f(X1),s(s(s(s(s(s('0')))))))
      | ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
      | ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_1_06) ).

fof(f30,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f28,f25]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
      | ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
      | ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.PL6Q9lsVk9/Vampire---4.8_5554',clause_21_01) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 16:04:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  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.PL6Q9lsVk9/Vampire---4.8_5554
% 0.71/0.87  % (5961)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 (2994ds/34Mi)
% 0.71/0.87  % (5963)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.87  % (5964)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.87  % (5962)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 (2994ds/51Mi)
% 0.71/0.87  % (5965)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 (2994ds/34Mi)
% 0.71/0.87  % (5966)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.87  % (5967)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 (2994ds/83Mi)
% 0.71/0.87  % (5963)Refutation not found, incomplete strategy% (5963)------------------------------
% 0.71/0.87  % (5963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5963)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5963)Memory used [KB]: 948
% 0.71/0.87  % (5963)Time elapsed: 0.002 s
% 0.71/0.87  % (5961)Refutation not found, incomplete strategy% (5961)------------------------------
% 0.71/0.87  % (5961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5964)Refutation not found, incomplete strategy% (5964)------------------------------
% 0.71/0.87  % (5964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5961)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5964)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5961)Memory used [KB]: 948
% 0.71/0.87  % (5964)Memory used [KB]: 948
% 0.71/0.87  % (5961)Time elapsed: 0.002 s
% 0.71/0.87  % (5964)Time elapsed: 0.002 s
% 0.71/0.87  % (5961)Instructions burned: 2 (million)
% 0.71/0.87  % (5964)Instructions burned: 2 (million)
% 0.71/0.87  % (5963)Instructions burned: 2 (million)
% 0.71/0.87  % (5966)Refutation not found, incomplete strategy% (5966)------------------------------
% 0.71/0.87  % (5966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5966)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5966)Memory used [KB]: 948
% 0.71/0.87  % (5966)Time elapsed: 0.002 s
% 0.71/0.87  % (5966)Instructions burned: 2 (million)
% 0.71/0.87  % (5964)------------------------------
% 0.71/0.87  % (5964)------------------------------
% 0.71/0.87  % (5963)------------------------------
% 0.71/0.87  % (5963)------------------------------
% 0.71/0.87  % (5961)------------------------------
% 0.71/0.87  % (5961)------------------------------
% 0.71/0.87  % (5968)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 (2994ds/56Mi)
% 0.71/0.87  % (5967)Refutation not found, incomplete strategy% (5967)------------------------------
% 0.71/0.87  % (5967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5966)------------------------------
% 0.71/0.87  % (5966)------------------------------
% 0.71/0.87  % (5967)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5967)Memory used [KB]: 948
% 0.71/0.87  % (5967)Time elapsed: 0.002 s
% 0.71/0.87  % (5967)Instructions burned: 3 (million)
% 0.71/0.87  % (5965)Refutation not found, incomplete strategy% (5965)------------------------------
% 0.71/0.87  % (5965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5967)------------------------------
% 0.71/0.87  % (5967)------------------------------
% 0.71/0.87  % (5968)Refutation not found, incomplete strategy% (5968)------------------------------
% 0.71/0.87  % (5968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87  % (5968)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5968)Memory used [KB]: 948
% 0.71/0.87  % (5968)Time elapsed: 0.002 s
% 0.71/0.87  % (5968)Instructions burned: 2 (million)
% 0.71/0.87  % (5965)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87  
% 0.71/0.87  % (5965)Memory used [KB]: 952
% 0.71/0.87  % (5965)Time elapsed: 0.003 s
% 0.71/0.87  % (5965)Instructions burned: 3 (million)
% 0.71/0.87  % (5968)------------------------------
% 0.71/0.87  % (5968)------------------------------
% 0.71/0.87  % (5965)------------------------------
% 0.71/0.87  % (5965)------------------------------
% 0.71/0.87  % (5962)First to succeed.
% 0.71/0.88  % (5970)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 (2994ds/55Mi)
% 0.71/0.88  % (5962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5761"
% 0.71/0.88  % (5971)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 (2994ds/50Mi)
% 0.71/0.88  % (5972)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 (2994ds/208Mi)
% 0.71/0.88  % (5973)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 (2994ds/52Mi)
% 0.71/0.88  % (5974)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 (2994ds/518Mi)
% 0.71/0.88  % (5975)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 (2994ds/42Mi)
% 0.71/0.88  % (5972)Refutation not found, incomplete strategy% (5972)------------------------------
% 0.71/0.88  % (5972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88  % (5972)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88  % (5962)Refutation found. Thanks to Tanya!
% 0.71/0.88  % SZS status Unsatisfiable for Vampire---4
% 0.71/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.88  % (5962)------------------------------
% 0.71/0.88  % (5962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88  % (5962)Termination reason: Refutation
% 0.71/0.88  
% 0.71/0.88  % (5962)Memory used [KB]: 1005
% 0.71/0.88  % (5962)Time elapsed: 0.006 s
% 0.71/0.88  % (5962)Instructions burned: 9 (million)
% 0.71/0.88  % (5761)Success in time 0.509 s
% 0.71/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------