TSTP Solution File: SYO633-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.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 Aug 31 19:48:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  100 (  16 unt;   0 def)
%            Number of atoms       :  282 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  413 ( 231   ~; 164   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :   20 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :  149 ( 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f114,plain,
    $false,
    inference(unit_resulting_resolution,[],[f94,f113,f70]) ).

fof(f70,plain,
    ! [X2] :
      ( sP28
      | ~ 'E'(f(X2),s(s(s('0')))) ),
    inference(cnf_transformation,[],[f70_D]) ).

fof(f70_D,plain,
    ( ! [X2] : ~ 'E'(f(X2),s(s(s('0'))))
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f113,plain,
    ~ sP28,
    inference(resolution,[],[f112,f91]) ).

fof(f91,plain,
    ( ~ sP29
    | ~ sP28 ),
    inference(subsumption_resolution,[],[f90,f5]) ).

fof(f5,axiom,
    ! [X7] : 'E'(f(X7),s(s(s(s(s('0')))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_05) ).

fof(f90,plain,
    ! [X1] :
      ( ~ sP29
      | ~ sP28
      | ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
    inference(subsumption_resolution,[],[f75,f80]) ).

fof(f80,plain,
    sP30,
    inference(subsumption_resolution,[],[f74,f4]) ).

fof(f4,axiom,
    ! [X1] : 'E'(f(X1),s(s(s(s('0'))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).

fof(f74,plain,
    ! [X0] :
      ( ~ 'E'(f(X0),s(s(s(s('0')))))
      | sP30 ),
    inference(cnf_transformation,[],[f74_D]) ).

fof(f74_D,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f75,plain,
    ! [X1] :
      ( ~ sP30
      | ~ sP28
      | ~ sP29
      | ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
    inference(general_splitting,[],[f73,f74_D]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ sP28
      | ~ sP29 ),
    inference(general_splitting,[],[f71,f72_D]) ).

fof(f72,plain,
    ! [X3] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
      | sP29 ),
    inference(cnf_transformation,[],[f72_D]) ).

fof(f72_D,plain,
    ( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f71,plain,
    ! [X3,X0,X1] :
      ( ~ 'E'(f(X0),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ sP28 ),
    inference(general_splitting,[],[f12,f70_D]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ 'E'(f(X0),s(s(s(s('0')))))
      | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s('0')))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_12) ).

fof(f112,plain,
    sP29,
    inference(resolution,[],[f111,f72]) ).

fof(f111,plain,
    ! [X0] : ~ 'E'(f(X0),s(s('0'))),
    inference(resolution,[],[f110,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s('0'))
      | ~ 'E'(f(X1),s(s('0'))) ),
    inference(subsumption_resolution,[],[f95,f94]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s('0'))
      | ~ 'E'(f(X1),s(s('0')))
      | ~ 'E'(f(X2),s(s(s('0')))) ),
    inference(resolution,[],[f92,f40]) ).

fof(f40,plain,
    ! [X2] :
      ( sP13
      | ~ 'E'(f(X2),s(s(s('0')))) ),
    inference(cnf_transformation,[],[f40_D]) ).

fof(f40_D,plain,
    ( ! [X2] : ~ 'E'(f(X2),s(s(s('0'))))
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ sP13
      | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s('0'))
      | ~ 'E'(f(X1),s(s('0'))) ),
    inference(resolution,[],[f42,f86]) ).

fof(f86,plain,
    ! [X4] :
      ( ~ sP14
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP13 ),
    inference(subsumption_resolution,[],[f85,f77]) ).

fof(f77,plain,
    sP15,
    inference(subsumption_resolution,[],[f44,f4]) ).

fof(f44,plain,
    ! [X0] :
      ( sP15
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    inference(cnf_transformation,[],[f44_D]) ).

fof(f44_D,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f85,plain,
    ! [X4] :
      ( ~ sP15
      | ~ sP14
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP13 ),
    inference(subsumption_resolution,[],[f47,f84]) ).

fof(f84,plain,
    sP16,
    inference(subsumption_resolution,[],[f46,f5]) ).

fof(f46,plain,
    ! [X1] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | sP16 ),
    inference(cnf_transformation,[],[f46_D]) ).

fof(f46_D,plain,
    ( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0'))))))
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f47,plain,
    ! [X4] :
      ( ~ sP13
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP14
      | ~ sP16
      | ~ sP15 ),
    inference(general_splitting,[],[f45,f46_D]) ).

fof(f45,plain,
    ! [X1,X4] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP13
      | ~ sP14
      | ~ sP15 ),
    inference(general_splitting,[],[f43,f44_D]) ).

fof(f43,plain,
    ! [X0,X1,X4] :
      ( ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP13
      | ~ sP14 ),
    inference(general_splitting,[],[f41,f42_D]) ).

fof(f41,plain,
    ! [X3,X0,X1,X4] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP13 ),
    inference(general_splitting,[],[f9,f40_D]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_09) ).

fof(f42,plain,
    ! [X3] :
      ( sP14
      | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
    inference(cnf_transformation,[],[f42_D]) ).

fof(f42_D,plain,
    ( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f110,plain,
    ! [X0] : ~ 'E'(f(X0),s('0')),
    inference(subsumption_resolution,[],[f109,f94]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),s(s(s('0'))))
      | ~ 'E'(f(X0),s('0')) ),
    inference(resolution,[],[f108,f70]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ sP28
      | ~ 'E'(f(X0),s('0')) ),
    inference(resolution,[],[f107,f91]) ).

fof(f107,plain,
    ! [X0] :
      ( sP29
      | ~ 'E'(f(X0),s('0')) ),
    inference(resolution,[],[f106,f72]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),s(s('0')))
      | ~ 'E'(f(X0),s('0')) ),
    inference(subsumption_resolution,[],[f105,f94]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X0),s('0'))
      | ~ 'E'(f(X1),s(s('0'))) ),
    inference(resolution,[],[f104,f14]) ).

fof(f14,plain,
    ! [X2] :
      ( sP0
      | ~ 'E'(f(X2),s(s(s('0')))) ),
    inference(cnf_transformation,[],[f14_D]) ).

fof(f14_D,plain,
    ( ! [X2] : ~ 'E'(f(X2),s(s(s('0'))))
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ sP0
      | ~ 'E'(f(X1),s('0'))
      | ~ 'E'(f(X0),s(s('0'))) ),
    inference(subsumption_resolution,[],[f103,f22]) ).

fof(f22,plain,
    ! [X4] :
      ( sP4
      | ~ 'E'(f(X4),s(s('0'))) ),
    inference(cnf_transformation,[],[f22_D]) ).

fof(f22_D,plain,
    ( ! [X4] : ~ 'E'(f(X4),s(s('0')))
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X0),s(s('0')))
      | ~ sP0
      | ~ sP4
      | ~ 'E'(f(X1),s('0')) ),
    inference(resolution,[],[f102,f83]) ).

fof(f83,plain,
    ! [X5] :
      ( ~ sP1
      | ~ 'E'(f(X5),s('0'))
      | ~ sP4
      | ~ sP0 ),
    inference(subsumption_resolution,[],[f82,f76]) ).

fof(f76,plain,
    sP2,
    inference(subsumption_resolution,[],[f18,f4]) ).

fof(f18,plain,
    ! [X0] :
      ( sP2
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    inference(cnf_transformation,[],[f18_D]) ).

fof(f18_D,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f82,plain,
    ! [X5] :
      ( ~ sP2
      | ~ sP1
      | ~ sP4
      | ~ sP0
      | ~ 'E'(f(X5),s('0')) ),
    inference(subsumption_resolution,[],[f23,f81]) ).

fof(f81,plain,
    sP3,
    inference(subsumption_resolution,[],[f20,f5]) ).

fof(f20,plain,
    ! [X1] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | sP3 ),
    inference(cnf_transformation,[],[f20_D]) ).

fof(f20_D,plain,
    ( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0'))))))
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f23,plain,
    ! [X5] :
      ( ~ 'E'(f(X5),s('0'))
      | ~ sP4
      | ~ sP3
      | ~ sP1
      | ~ sP0
      | ~ sP2 ),
    inference(general_splitting,[],[f21,f22_D]) ).

fof(f21,plain,
    ! [X4,X5] :
      ( ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP0
      | ~ sP1
      | ~ sP2
      | ~ sP3 ),
    inference(general_splitting,[],[f19,f20_D]) ).

fof(f19,plain,
    ! [X1,X4,X5] :
      ( ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ sP0
      | ~ sP1
      | ~ sP2 ),
    inference(general_splitting,[],[f17,f18_D]) ).

fof(f17,plain,
    ! [X0,X1,X4,X5] :
      ( ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f15,f16_D]) ).

fof(f16,plain,
    ! [X3] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
      | sP1 ),
    inference(cnf_transformation,[],[f16_D]) ).

fof(f16_D,plain,
    ( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f15,plain,
    ! [X3,X0,X1,X4,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ sP0 ),
    inference(general_splitting,[],[f7,f14_D]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X2),s(s(s('0'))))
      | 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_07) ).

fof(f102,plain,
    ! [X0] :
      ( sP1
      | ~ 'E'(f(X0),s(s('0'))) ),
    inference(resolution,[],[f101,f16]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),'0')
      | ~ 'E'(f(X0),s(s('0'))) ),
    inference(subsumption_resolution,[],[f100,f94]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(f(X1),'0')
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s('0'))) ),
    inference(resolution,[],[f99,f60]) ).

fof(f60,plain,
    ! [X2] :
      ( sP23
      | ~ 'E'(f(X2),s(s(s('0')))) ),
    inference(cnf_transformation,[],[f60_D]) ).

fof(f60_D,plain,
    ( ! [X2] : ~ 'E'(f(X2),s(s(s('0'))))
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ sP23
      | ~ 'E'(f(X0),s(s('0')))
      | ~ 'E'(f(X1),'0') ),
    inference(resolution,[],[f98,f66]) ).

fof(f66,plain,
    ! [X6] :
      ( sP26
      | ~ 'E'(f(X6),'0') ),
    inference(cnf_transformation,[],[f66_D]) ).

fof(f66_D,plain,
    ( ! [X6] : ~ 'E'(f(X6),'0')
  <=> ~ sP26 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ sP26
      | ~ 'E'(f(X0),s(s('0')))
      | ~ sP23 ),
    inference(subsumption_resolution,[],[f97,f68]) ).

fof(f68,plain,
    ! [X4] :
      ( sP27
      | ~ 'E'(f(X4),s(s('0'))) ),
    inference(cnf_transformation,[],[f68_D]) ).

fof(f68_D,plain,
    ( ! [X4] : ~ 'E'(f(X4),s(s('0')))
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ sP27
      | ~ 'E'(f(X0),s(s('0')))
      | ~ sP26
      | ~ sP23 ),
    inference(resolution,[],[f96,f89]) ).

fof(f89,plain,
    ! [X5] :
      ( ~ 'E'(f(X5),s('0'))
      | ~ sP23
      | ~ sP26
      | ~ sP27 ),
    inference(subsumption_resolution,[],[f88,f79]) ).

fof(f79,plain,
    sP24,
    inference(subsumption_resolution,[],[f62,f4]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ 'E'(f(X0),s(s(s(s('0')))))
      | sP24 ),
    inference(cnf_transformation,[],[f62_D]) ).

fof(f62_D,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f88,plain,
    ! [X5] :
      ( ~ sP27
      | ~ sP24
      | ~ 'E'(f(X5),s('0'))
      | ~ sP23
      | ~ sP26 ),
    inference(subsumption_resolution,[],[f69,f87]) ).

fof(f87,plain,
    sP25,
    inference(subsumption_resolution,[],[f64,f5]) ).

fof(f64,plain,
    ! [X1] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | sP25 ),
    inference(cnf_transformation,[],[f64_D]) ).

fof(f64_D,plain,
    ( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0'))))))
  <=> ~ sP25 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f69,plain,
    ! [X5] :
      ( ~ 'E'(f(X5),s('0'))
      | ~ sP27
      | ~ sP23
      | ~ sP25
      | ~ sP26
      | ~ sP24 ),
    inference(general_splitting,[],[f67,f68_D]) ).

fof(f67,plain,
    ! [X4,X5] :
      ( ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X5),s('0'))
      | ~ sP23
      | ~ sP24
      | ~ sP25
      | ~ sP26 ),
    inference(general_splitting,[],[f65,f66_D]) ).

fof(f65,plain,
    ! [X6,X4,X5] :
      ( ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X6),'0')
      | ~ sP23
      | ~ sP24
      | ~ sP25 ),
    inference(general_splitting,[],[f63,f64_D]) ).

fof(f63,plain,
    ! [X1,X6,X4,X5] :
      ( ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X6),'0')
      | ~ sP23
      | ~ sP24 ),
    inference(general_splitting,[],[f61,f62_D]) ).

fof(f61,plain,
    ! [X0,X1,X6,X4,X5] :
      ( ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X6),'0')
      | ~ sP23 ),
    inference(general_splitting,[],[f3,f60_D]) ).

fof(f3,axiom,
    ! [X2,X0,X1,X6,X4,X5] :
      ( ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X6),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_03) ).

fof(f94,plain,
    ! [X1] : 'E'(f(X1),s(s(s('0')))),
    inference(subsumption_resolution,[],[f93,f5]) ).

fof(f93,plain,
    ! [X1] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | 'E'(f(X1),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f49,f78]) ).

fof(f78,plain,
    sP17,
    inference(subsumption_resolution,[],[f48,f4]) ).

fof(f48,plain,
    ! [X0] :
      ( sP17
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    inference(cnf_transformation,[],[f48_D]) ).

fof(f48_D,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
  <=> ~ sP17 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f49,plain,
    ! [X1] :
      ( ~ sP17
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | 'E'(f(X1),s(s(s('0')))) ),
    inference(general_splitting,[],[f10,f48_D]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | 'E'(f(X1),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 23:29:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (23113)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (23129)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (23121)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (23113)Refutation not found, incomplete strategy% (23113)------------------------------
% 0.20/0.51  % (23113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23113)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (23113)Memory used [KB]: 5756
% 0.20/0.51  % (23113)Time elapsed: 0.004 s
% 0.20/0.51  % (23113)Instructions burned: 2 (million)
% 0.20/0.51  % (23113)------------------------------
% 0.20/0.51  % (23113)------------------------------
% 0.20/0.51  % (23128)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (23129)Refutation not found, incomplete strategy% (23129)------------------------------
% 0.20/0.51  % (23129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23129)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (23129)Memory used [KB]: 5756
% 0.20/0.51  % (23129)Time elapsed: 0.003 s
% 0.20/0.51  % (23129)Instructions burned: 1 (million)
% 0.20/0.51  % (23129)------------------------------
% 0.20/0.51  % (23129)------------------------------
% 0.20/0.51  % (23120)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51  % (23120)First to succeed.
% 0.20/0.51  % (23121)Instruction limit reached!
% 0.20/0.51  % (23121)------------------------------
% 0.20/0.51  % (23121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23121)Termination reason: Unknown
% 0.20/0.51  % (23121)Termination phase: Finite model building preprocessing
% 0.20/0.51  
% 0.20/0.51  % (23121)Memory used [KB]: 1407
% 0.20/0.51  % (23121)Time elapsed: 0.005 s
% 0.20/0.51  % (23121)Instructions burned: 6 (million)
% 0.20/0.51  % (23121)------------------------------
% 0.20/0.51  % (23121)------------------------------
% 0.20/0.51  % (23120)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (23120)------------------------------
% 0.20/0.52  % (23120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23120)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (23120)Memory used [KB]: 1407
% 0.20/0.52  % (23120)Time elapsed: 0.066 s
% 0.20/0.52  % (23120)Instructions burned: 4 (million)
% 0.20/0.52  % (23120)------------------------------
% 0.20/0.52  % (23120)------------------------------
% 0.20/0.52  % (23105)Success in time 0.163 s
%------------------------------------------------------------------------------