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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT017-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:02:30 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.44s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  114 (  41 unt;  13 def)
%            Number of atoms       :  372 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  442 ( 184   ~; 245   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  14 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  121 (   0 sgn 121   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ organization(X0,X1)
      | inertia(X0,sk1(X1,X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X3)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X3)
      | ~ size(X0,X5,X1)
      | ~ size(X2,X6,X3)
      | ~ inertia(X0,X7,X1)
      | ~ inertia(X2,X8,X3)
      | ~ greater(X6,X5)
      | greater(X8,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_2) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ organization(X2,X3)
      | ~ class(X0,X4,X1)
      | ~ class(X2,X4,X1)
      | ~ reorganization(X0,X1,X5)
      | ~ reorganization(X2,X1,X3)
      | ~ reorganization_type(X0,X6,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ inertia(X0,X7,X1)
      | ~ inertia(X2,X8,X1)
      | ~ greater(X8,X7)
      | greater(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_FOL_3) ).

fof(f4,negated_conjecture,
    organization(sk2,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_4) ).

fof(f5,negated_conjecture,
    organization(sk3,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_5) ).

fof(f6,negated_conjecture,
    organization(sk3,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_6) ).

fof(f7,negated_conjecture,
    class(sk2,sk5,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_7) ).

fof(f8,negated_conjecture,
    class(sk3,sk5,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_8) ).

fof(f9,negated_conjecture,
    reorganization(sk2,sk8,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_9) ).

fof(f10,negated_conjecture,
    reorganization(sk3,sk8,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_10) ).

fof(f11,negated_conjecture,
    reorganization_type(sk2,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_11) ).

fof(f12,negated_conjecture,
    reorganization_type(sk3,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_12) ).

fof(f13,negated_conjecture,
    size(sk2,sk6,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_13) ).

fof(f14,negated_conjecture,
    size(sk3,sk7,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_14) ).

fof(f15,negated_conjecture,
    greater(sk7,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_15) ).

fof(f16,negated_conjecture,
    ~ greater(sk10,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL_16) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( greater(X6,X5)
      | ~ organization(X2,X3)
      | class(X0,X4,X1)
      | class(X2,X4,X3)
      | ~ size(X0,X5,X1)
      | ~ size(X2,X6,X3)
      | inertia(X0,X7,X1)
      | inertia(X2,X8,X3)
      | ~ organization(X0,X1)
      | ~ greater(X8,X7) ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( greater(X8,X7)
      | ~ organization(X2,X1)
      | ~ organization(X2,X3)
      | class(X0,X4,X1)
      | class(X2,X4,X1)
      | reorganization(X0,X1,X5)
      | reorganization(X2,X1,X3)
      | reorganization_type(X0,X6,X1)
      | reorganization_type(X2,X6,X1)
      | inertia(X0,X7,X1)
      | inertia(X2,X8,X1)
      | ~ organization(X0,X1)
      | ~ greater(X3,X5) ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f20,plain,
    ~ class(sk2,sk5,sk8),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f21,plain,
    ~ class(sk3,sk5,sk8),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f22,plain,
    ~ reorganization(sk2,sk8,sk9),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f23,plain,
    ~ reorganization(sk3,sk8,sk10),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f24,plain,
    ~ reorganization_type(sk2,sk4,sk8),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f25,plain,
    ~ reorganization_type(sk3,sk4,sk8),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f26,plain,
    ~ greater(sk7,sk6),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f27,plain,
    greater(sk10,sk9),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ size(X2,sk6,X4)
      | ~ size(X0,sk7,X1)
      | class(X0,X3,X1)
      | class(X2,X3,X4)
      | ~ organization(X0,X1)
      | inertia(X2,X5,X4)
      | inertia(X0,X6,X1)
      | ~ organization(X2,X4)
      | ~ greater(X6,X5) ),
    inference(resolution,[],[f18,f26]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ size(X0,sk6,X1)
      | class(sk3,X2,sk8)
      | class(X0,X2,X1)
      | ~ organization(sk3,sk8)
      | inertia(X0,X3,X1)
      | inertia(sk3,X4,sk8)
      | ~ organization(X0,X1)
      | ~ greater(X4,X3) ),
    inference(resolution,[],[f28,f14]) ).

fof(f32,definition,
    ( spl0_1
  <=> organization(sk3,sk8) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f34,plain,
    ( ~ organization(sk3,sk8)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f36,definition,
    ( spl0_2
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ size(X0,sk6,X1)
        | ~ organization(X0,X1)
        | inertia(sk3,X4,sk8)
        | ~ greater(X4,X3)
        | inertia(X0,X3,X1)
        | class(X0,X2,X1)
        | class(sk3,X2,sk8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f37,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( class(sk3,X2,sk8)
        | ~ organization(X0,X1)
        | inertia(sk3,X4,sk8)
        | ~ greater(X4,X3)
        | inertia(X0,X3,X1)
        | class(X0,X2,X1)
        | ~ size(X0,sk6,X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f38,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f30,f36,f32]) ).

fof(f40,definition,
    ( spl0_3
  <=> organization(sk2,sk8) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f42,plain,
    ( ~ organization(sk2,sk8)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f47,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f34,f5]) ).

fof(f48,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f47]) ).

fof(f49,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f42,f4]) ).

fof(f50,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f52,plain,
    ( ! [X2,X3,X0,X1] :
        ( inertia(sk3,X2,sk8)
        | ~ organization(X0,X1)
        | ~ greater(X2,X3)
        | inertia(X0,X3,X1)
        | class(X0,sk5,X1)
        | ~ size(X0,sk6,X1) )
    | ~ spl0_2 ),
    inference(resolution,[],[f37,f21]) ).

fof(f53,plain,
    ( ! [X2,X0,X1] :
        ( ~ organization(X0,X1)
        | ~ greater(sk1(sk8,sk3),X2)
        | inertia(X0,X2,X1)
        | class(X0,sk5,X1)
        | ~ size(X0,sk6,X1)
        | ~ organization(sk3,sk8) )
    | ~ spl0_2 ),
    inference(resolution,[],[f52,f17]) ).

fof(f55,definition,
    ( spl0_5
  <=> ! [X2,X0,X1] :
        ( ~ organization(X0,X1)
        | ~ size(X0,sk6,X1)
        | class(X0,sk5,X1)
        | inertia(X0,X2,X1)
        | ~ greater(sk1(sk8,sk3),X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f56,plain,
    ( ! [X2,X0,X1] :
        ( ~ size(X0,sk6,X1)
        | ~ organization(X0,X1)
        | class(X0,sk5,X1)
        | inertia(X0,X2,X1)
        | ~ greater(sk1(sk8,sk3),X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f57,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f53,f36,f55,f32]) ).

fof(f58,plain,
    ( ! [X0] :
        ( ~ organization(sk2,sk8)
        | class(sk2,sk5,sk8)
        | inertia(sk2,X0,sk8)
        | ~ greater(sk1(sk8,sk3),X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f56,f13]) ).

fof(f60,definition,
    ( spl0_6
  <=> ! [X0] :
        ( inertia(sk2,X0,sk8)
        | ~ greater(sk1(sk8,sk3),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f61,plain,
    ( ! [X0] :
        ( inertia(sk2,X0,sk8)
        | ~ greater(sk1(sk8,sk3),X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f63,definition,
    ( spl0_7
  <=> class(sk2,sk5,sk8) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f65,plain,
    ( class(sk2,sk5,sk8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f66,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f58,f55,f40,f63,f60]) ).

fof(f67,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f65,f20]) ).

fof(f68,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f69,plain,
    ( ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
    | ~ organization(sk2,sk8)
    | ~ spl0_6 ),
    inference(resolution,[],[f61,f17]) ).

fof(f71,definition,
    ( spl0_8
  <=> greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f73,plain,
    ( ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f74,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f69,f60,f71,f40]) ).

fof(f75,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( inertia(X3,sk1(sk8,sk2),X1)
        | ~ organization(X0,X2)
        | class(X3,X4,X1)
        | class(X0,X4,X1)
        | reorganization(X3,X1,X5)
        | reorganization(X0,X1,X2)
        | reorganization_type(X3,X6,X1)
        | reorganization_type(X0,X6,X1)
        | ~ organization(X0,X1)
        | inertia(X0,sk1(sk8,sk3),X1)
        | ~ organization(X3,X1)
        | ~ greater(X2,X5) )
    | spl0_8 ),
    inference(resolution,[],[f73,f19]) ).

fof(f95,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ organization(X0,X1)
        | class(sk2,X2,sk8)
        | class(X0,X2,sk8)
        | reorganization(sk2,sk8,X3)
        | reorganization(X0,sk8,X1)
        | reorganization_type(sk2,X4,sk8)
        | reorganization_type(X0,X4,sk8)
        | ~ organization(X0,sk8)
        | inertia(X0,sk1(sk8,sk3),sk8)
        | ~ organization(sk2,sk8)
        | ~ greater(X1,X3)
        | ~ organization(sk2,sk8) )
    | spl0_8 ),
    inference(resolution,[],[f75,f17]) ).

fof(f96,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ organization(X0,X1)
        | class(sk2,X2,sk8)
        | class(X0,X2,sk8)
        | reorganization(sk2,sk8,X3)
        | reorganization(X0,sk8,X1)
        | reorganization_type(sk2,X4,sk8)
        | reorganization_type(X0,X4,sk8)
        | ~ organization(X0,sk8)
        | inertia(X0,sk1(sk8,sk3),sk8)
        | ~ organization(sk2,sk8)
        | ~ greater(X1,X3) )
    | spl0_8 ),
    inference(duplicate_literal_removal,[],[f95]) ).

fof(f98,definition,
    ( spl0_12
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ organization(X0,X1)
        | ~ greater(X1,X3)
        | inertia(X0,sk1(sk8,sk3),sk8)
        | ~ organization(X0,sk8)
        | reorganization_type(X0,X4,sk8)
        | reorganization_type(sk2,X4,sk8)
        | reorganization(X0,sk8,X1)
        | reorganization(sk2,sk8,X3)
        | class(X0,X2,sk8)
        | class(sk2,X2,sk8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f99,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( reorganization_type(sk2,X4,sk8)
        | ~ greater(X1,X3)
        | inertia(X0,sk1(sk8,sk3),sk8)
        | ~ organization(X0,sk8)
        | reorganization_type(X0,X4,sk8)
        | ~ organization(X0,X1)
        | reorganization(X0,sk8,X1)
        | reorganization(sk2,sk8,X3)
        | class(X0,X2,sk8)
        | class(sk2,X2,sk8) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f100,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f96,f71,f98,f40]) ).

fof(f101,plain,
    ( ! [X2,X3,X0,X1] :
        ( reorganization_type(X2,sk4,sk8)
        | inertia(X2,sk1(sk8,sk3),sk8)
        | ~ organization(X2,sk8)
        | ~ greater(X0,X1)
        | ~ organization(X2,X0)
        | reorganization(X2,sk8,X0)
        | reorganization(sk2,sk8,X1)
        | class(X2,X3,sk8)
        | class(sk2,X3,sk8) )
    | ~ spl0_12 ),
    inference(resolution,[],[f99,f24]) ).

fof(f103,plain,
    ( ! [X2,X0,X1] :
        ( inertia(sk3,sk1(sk8,sk3),sk8)
        | ~ organization(sk3,sk8)
        | ~ greater(X0,X1)
        | ~ organization(sk3,X0)
        | reorganization(sk3,sk8,X0)
        | reorganization(sk2,sk8,X1)
        | class(sk3,X2,sk8)
        | class(sk2,X2,sk8) )
    | ~ spl0_12 ),
    inference(resolution,[],[f101,f25]) ).

fof(f106,definition,
    ( spl0_13
  <=> ! [X2] :
        ( class(sk3,X2,sk8)
        | class(sk2,X2,sk8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f107,plain,
    ( ! [X2] :
        ( class(sk3,X2,sk8)
        | class(sk2,X2,sk8) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f109,definition,
    ( spl0_14
  <=> ! [X0,X1] :
        ( ~ greater(X0,X1)
        | reorganization(sk2,sk8,X1)
        | reorganization(sk3,sk8,X0)
        | ~ organization(sk3,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f110,plain,
    ( ! [X0,X1] :
        ( reorganization(sk3,sk8,X0)
        | reorganization(sk2,sk8,X1)
        | ~ greater(X0,X1)
        | ~ organization(sk3,X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f112,definition,
    ( spl0_15
  <=> inertia(sk3,sk1(sk8,sk3),sk8) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f114,plain,
    ( inertia(sk3,sk1(sk8,sk3),sk8)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f115,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_1
    | spl0_15
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f103,f98,f112,f32,f109,f106]) ).

fof(f135,plain,
    ( ! [X0] :
        ( reorganization(sk2,sk8,X0)
        | ~ greater(sk10,X0)
        | ~ organization(sk3,sk10) )
    | ~ spl0_14 ),
    inference(resolution,[],[f110,f23]) ).

fof(f137,definition,
    ( spl0_19
  <=> organization(sk3,sk10) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f139,plain,
    ( ~ organization(sk3,sk10)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f141,definition,
    ( spl0_20
  <=> ! [X0] :
        ( reorganization(sk2,sk8,X0)
        | ~ greater(sk10,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f142,plain,
    ( ! [X0] :
        ( reorganization(sk2,sk8,X0)
        | ~ greater(sk10,X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f144,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f139,f6]) ).

fof(f145,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f144]) ).

fof(f146,plain,
    ( ~ organization(sk3,sk8)
    | ~ spl0_15 ),
    inference(resolution,[],[f114,f17]) ).

fof(f147,plain,
    ( ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f146,f112,f32]) ).

fof(f148,plain,
    ( ~ spl0_19
    | spl0_20
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f135,f109,f141,f137]) ).

fof(f151,plain,
    ( ~ greater(sk10,sk9)
    | ~ spl0_20 ),
    inference(resolution,[],[f142,f22]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_20 ),
    inference(resolution,[],[f151,f27]) ).

fof(f155,plain,
    ~ spl0_20,
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f156,plain,
    ( class(sk2,sk5,sk8)
    | ~ spl0_13 ),
    inference(resolution,[],[f107,f21]) ).

fof(f157,plain,
    ( spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f156,f106,f63]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f38]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f48]) ).

cnf(s4,plain,
    spl0_3,
    inference(sat_conversion,[],[f50]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f57]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f66]) ).

cnf(s7,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f68]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f74]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f100]) ).

cnf(s13,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f115]) ).

cnf(s17,plain,
    spl0_19,
    inference(sat_conversion,[],[f145]) ).

cnf(s18,plain,
    ( ~ spl0_1
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f147]) ).

cnf(s19,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s20,plain,
    ~ spl0_20,
    inference(sat_conversion,[],[f155]) ).

cnf(s21,plain,
    ( spl0_7
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f157]) ).

cnf(s22,plain,
    ( ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s19,s20]) ).

cnf(s23,plain,
    ~ spl0_14,
    inference(rat,[],[s22,s17]) ).

cnf(s25,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | spl0_13
    | spl0_15 ),
    inference(rat,[],[s13,s23]) ).

cnf(s27,plain,
    ~ spl0_13,
    inference(rat,[],[s21,s7]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | spl0_6 ),
    inference(rat,[],[s6,s7]) ).

cnf(s29,plain,
    ~ spl0_15,
    inference(rat,[],[s18,s3]) ).

cnf(s30,plain,
    ~ spl0_12,
    inference(rat,[],[s25,s29,s27,s3]) ).

cnf(s31,plain,
    spl0_8,
    inference(rat,[],[s12,s4,s30]) ).

cnf(s32,plain,
    ~ spl0_6,
    inference(rat,[],[s8,s4,s31]) ).

cnf(s33,plain,
    ~ spl0_5,
    inference(rat,[],[s28,s4,s32]) ).

cnf(s34,plain,
    ~ spl0_2,
    inference(rat,[],[s5,s3,s33]) ).

cnf(s38,plain,
    $false,
    inference(rat,[],[s1,s34,s3]) ).

fof(f158,plain,
    $false,
    inference(avatar_sat_refutation,[],[s38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT017-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 17:16:47 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41  Running first-order model finding
% 0.14/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.44  % (37582)Will run a generic schedule for satisfiability detection.
% 0.14/0.44  % (37598)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2825993869:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.44  % (37598) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-37582-37598"...
% 0.14/0.44  % (37593)% WARNING: option uhcvi not known.
% 0.14/0.44  % (37598)...printing done.
% 0.14/0.44  % (37598)Refutation found. Thanks to Tanya!
% 0.14/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44  % (37598)------------------------------
% 0.14/0.44  % (37598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44  % (37598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44  % (37598)CaDiCaL version: 2.1.3
% 0.14/0.44  % (37598)Termination reason: Refutation
% 0.14/0.44  % (37598)Time elapsed: 0.003 s
% 0.14/0.44  % (37598)Peak memory usage: 12 MB
% 0.14/0.44  % (37598)Instructions burned: 7 (million)
% 0.14/0.44  % (37582)Success in time 0.029 s
% 0.14/0.44  % Vampire exiting
%------------------------------------------------------------------------------