TSTP Solution File: MGT060+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n022.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 17:51:14 EDT 2022

% Result   : Theorem 1.49s 0.54s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  133 (  29 unt;   0 def)
%            Number of atoms       :  382 (  66 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  409 ( 160   ~; 169   |;  48   &)
%                                         (  11 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   81 (  72   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f968,plain,
    $false,
    inference(avatar_sat_refutation,[],[f337,f375,f628,f674,f709,f740,f818,f893,f921,f954,f963]) ).

fof(f963,plain,
    ( ~ spl5_8
    | ~ spl5_30 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f962,plain,
    ( $false
    | ~ spl5_8
    | ~ spl5_30 ),
    inference(subsumption_resolution,[],[f957,f154]) ).

fof(f154,plain,
    ( smaller(very_low,mod1)
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl5_8
  <=> smaller(very_low,mod1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f957,plain,
    ( ~ smaller(very_low,mod1)
    | ~ spl5_30 ),
    inference(backward_demodulation,[],[f742,f910]) ).

fof(f910,plain,
    ( mod1 = sF3
    | ~ spl5_30 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl5_30
  <=> mod1 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).

fof(f742,plain,
    ~ smaller(very_low,sF3),
    inference(forward_demodulation,[],[f56,f727]) ).

fof(f727,plain,
    very_low = sF4,
    inference(subsumption_resolution,[],[f726,f44]) ).

fof(f44,plain,
    organization(sK2),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ~ greater(hazard_of_mortality(sK2,sK1),hazard_of_mortality(sK2,sK0))
    & organization(sK2)
    & has_immunity(sK2,sK0)
    & ~ has_immunity(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f29,f30]) ).

fof(f30,plain,
    ( ? [X0,X1,X2] :
        ( ~ greater(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0))
        & organization(X2)
        & has_immunity(X2,X0)
        & ~ has_immunity(X2,X1) )
   => ( ~ greater(hazard_of_mortality(sK2,sK1),hazard_of_mortality(sK2,sK0))
      & organization(sK2)
      & has_immunity(sK2,sK0)
      & ~ has_immunity(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ? [X0,X1,X2] :
      ( ~ greater(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0))
      & organization(X2)
      & has_immunity(X2,X0)
      & ~ has_immunity(X2,X1) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ? [X2,X0,X1] :
      ( ~ greater(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0))
      & organization(X2)
      & has_immunity(X2,X0)
      & ~ has_immunity(X2,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ~ ! [X2,X0,X1] :
        ( ( organization(X2)
          & has_immunity(X2,X0)
          & ~ has_immunity(X2,X1) )
       => greater(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0)) ),
    inference(rectify,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X4,X3,X0] :
        ( ( has_immunity(X0,X4)
          & ~ has_immunity(X0,X3)
          & organization(X0) )
       => greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X4,X3,X0] :
      ( ( has_immunity(X0,X4)
        & ~ has_immunity(X0,X3)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).

fof(f726,plain,
    ( ~ organization(sK2)
    | very_low = sF4 ),
    inference(subsumption_resolution,[],[f725,f43]) ).

fof(f43,plain,
    has_immunity(sK2,sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f725,plain,
    ( ~ has_immunity(sK2,sK0)
    | ~ organization(sK2)
    | very_low = sF4 ),
    inference(superposition,[],[f39,f54]) ).

fof(f54,plain,
    hazard_of_mortality(sK2,sK0) = sF4,
    introduced(function_definition,[]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( very_low = hazard_of_mortality(X1,X0)
      | ~ organization(X1)
      | ~ has_immunity(X1,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ organization(X1)
      | ( ( ~ has_immunity(X1,X0)
          | very_low = hazard_of_mortality(X1,X0) )
        & ( ( ( positional_advantage(X1,X0)
              | high = hazard_of_mortality(X1,X0)
              | is_aligned(X1,X0) )
            & ( ~ positional_advantage(X1,X0)
              | low = hazard_of_mortality(X1,X0)
              | ~ is_aligned(X1,X0) )
            & ( mod2 = hazard_of_mortality(X1,X0)
              | ~ is_aligned(X1,X0)
              | positional_advantage(X1,X0) )
            & ( mod1 = hazard_of_mortality(X1,X0)
              | ~ positional_advantage(X1,X0)
              | is_aligned(X1,X0) ) )
          | has_immunity(X1,X0) ) ) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( ( ~ has_immunity(X1,X0)
          | very_low = hazard_of_mortality(X1,X0) )
        & ( ( ( high = hazard_of_mortality(X1,X0)
              | is_aligned(X1,X0)
              | positional_advantage(X1,X0) )
            & ( mod1 = hazard_of_mortality(X1,X0)
              | ~ positional_advantage(X1,X0)
              | is_aligned(X1,X0) )
            & ( mod2 = hazard_of_mortality(X1,X0)
              | positional_advantage(X1,X0)
              | ~ is_aligned(X1,X0) )
            & ( low = hazard_of_mortality(X1,X0)
              | ~ positional_advantage(X1,X0)
              | ~ is_aligned(X1,X0) ) )
          | has_immunity(X1,X0) ) )
      | ~ organization(X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( organization(X1)
     => ( ( has_immunity(X1,X0)
         => very_low = hazard_of_mortality(X1,X0) )
        & ( ~ has_immunity(X1,X0)
         => ( ( ( ~ is_aligned(X1,X0)
                & ~ positional_advantage(X1,X0) )
             => high = hazard_of_mortality(X1,X0) )
            & ( ( positional_advantage(X1,X0)
                & ~ is_aligned(X1,X0) )
             => mod1 = hazard_of_mortality(X1,X0) )
            & ( ( ~ positional_advantage(X1,X0)
                & is_aligned(X1,X0) )
             => mod2 = hazard_of_mortality(X1,X0) )
            & ( ( positional_advantage(X1,X0)
                & is_aligned(X1,X0) )
             => low = hazard_of_mortality(X1,X0) ) ) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3,X0] :
      ( organization(X0)
     => ( ( ~ has_immunity(X0,X3)
         => ( ( ( is_aligned(X0,X3)
                & positional_advantage(X0,X3) )
             => hazard_of_mortality(X0,X3) = low )
            & ( ( ~ positional_advantage(X0,X3)
                & is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = mod2 )
            & ( ( ~ is_aligned(X0,X3)
                & ~ positional_advantage(X0,X3) )
             => hazard_of_mortality(X0,X3) = high )
            & ( ( positional_advantage(X0,X3)
                & ~ is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = mod1 ) ) )
        & ( has_immunity(X0,X3)
         => hazard_of_mortality(X0,X3) = very_low ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).

fof(f56,plain,
    ~ smaller(sF4,sF3),
    inference(resolution,[],[f48,f55]) ).

fof(f55,plain,
    ~ greater(sF3,sF4),
    inference(definition_folding,[],[f45,f54,f53]) ).

fof(f53,plain,
    hazard_of_mortality(sK2,sK1) = sF3,
    introduced(function_definition,[]) ).

fof(f45,plain,
    ~ greater(hazard_of_mortality(sK2,sK1),hazard_of_mortality(sK2,sK0)),
    inference(cnf_transformation,[],[f31]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ! [X1,X0] :
      ( greater(X0,X1)
      | ~ smaller(X1,X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( smaller(X1,X0)
     => greater(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( smaller(X1,X0)
    <=> greater(X0,X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( greater(X1,X0)
    <=> smaller(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).

fof(f954,plain,
    ( spl5_30
    | ~ spl5_19
    | spl5_20 ),
    inference(avatar_split_clause,[],[f953,f365,f361,f908]) ).

fof(f361,plain,
    ( spl5_19
  <=> positional_advantage(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f365,plain,
    ( spl5_20
  <=> is_aligned(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).

fof(f953,plain,
    ( mod1 = sF3
    | ~ spl5_19
    | spl5_20 ),
    inference(subsumption_resolution,[],[f952,f42]) ).

fof(f42,plain,
    ~ has_immunity(sK2,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f952,plain,
    ( mod1 = sF3
    | has_immunity(sK2,sK1)
    | ~ spl5_19
    | spl5_20 ),
    inference(subsumption_resolution,[],[f951,f44]) ).

fof(f951,plain,
    ( ~ organization(sK2)
    | mod1 = sF3
    | has_immunity(sK2,sK1)
    | ~ spl5_19
    | spl5_20 ),
    inference(subsumption_resolution,[],[f950,f366]) ).

fof(f366,plain,
    ( ~ is_aligned(sK2,sK1)
    | spl5_20 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f950,plain,
    ( is_aligned(sK2,sK1)
    | mod1 = sF3
    | ~ organization(sK2)
    | has_immunity(sK2,sK1)
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f943,f362]) ).

fof(f362,plain,
    ( positional_advantage(sK2,sK1)
    | ~ spl5_19 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f943,plain,
    ( ~ positional_advantage(sK2,sK1)
    | has_immunity(sK2,sK1)
    | ~ organization(sK2)
    | mod1 = sF3
    | is_aligned(sK2,sK1) ),
    inference(superposition,[],[f35,f53]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( mod1 = hazard_of_mortality(X1,X0)
      | has_immunity(X1,X0)
      | is_aligned(X1,X0)
      | ~ positional_advantage(X1,X0)
      | ~ organization(X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f921,plain,
    ( spl5_28
    | spl5_19
    | spl5_20 ),
    inference(avatar_split_clause,[],[f920,f365,f361,f829]) ).

fof(f829,plain,
    ( spl5_28
  <=> high = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).

fof(f920,plain,
    ( positional_advantage(sK2,sK1)
    | high = sF3
    | spl5_20 ),
    inference(subsumption_resolution,[],[f838,f366]) ).

fof(f838,plain,
    ( positional_advantage(sK2,sK1)
    | is_aligned(sK2,sK1)
    | high = sF3 ),
    inference(subsumption_resolution,[],[f837,f44]) ).

fof(f837,plain,
    ( high = sF3
    | is_aligned(sK2,sK1)
    | ~ organization(sK2)
    | positional_advantage(sK2,sK1) ),
    inference(subsumption_resolution,[],[f767,f42]) ).

fof(f767,plain,
    ( has_immunity(sK2,sK1)
    | high = sF3
    | positional_advantage(sK2,sK1)
    | ~ organization(sK2)
    | is_aligned(sK2,sK1) ),
    inference(superposition,[],[f53,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( high = hazard_of_mortality(X1,X0)
      | has_immunity(X1,X0)
      | is_aligned(X1,X0)
      | ~ organization(X1)
      | positional_advantage(X1,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f893,plain,
    ( spl5_7
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f892]) ).

fof(f892,plain,
    ( $false
    | spl5_7
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f891,f149]) ).

fof(f149,plain,
    ( very_low != mod1
    | spl5_7 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl5_7
  <=> very_low = mod1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f891,plain,
    ( very_low = mod1
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f888,f92]) ).

fof(f92,plain,
    ~ smaller(mod1,very_low),
    inference(resolution,[],[f88,f48]) ).

fof(f88,plain,
    ~ greater(very_low,mod1),
    inference(resolution,[],[f70,f47]) ).

fof(f47,plain,
    greater(low,very_low),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    greater(low,very_low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).

fof(f70,plain,
    ! [X4] :
      ( ~ greater(low,X4)
      | ~ greater(X4,mod1) ),
    inference(resolution,[],[f50,f59]) ).

fof(f59,plain,
    ~ greater(low,mod1),
    inference(resolution,[],[f51,f46]) ).

fof(f46,plain,
    greater(mod1,low),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ~ ( greater(X0,X1)
        & greater(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( greater(X2,X0)
      | ~ greater(X2,X1)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X2,X1)
      | ~ greater(X1,X0)
      | greater(X2,X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0,X2] :
      ( ~ greater(X2,X0)
      | ~ greater(X0,X1)
      | greater(X2,X1) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ! [X0,X2,X1] :
      ( greater(X2,X1)
      | ~ greater(X2,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X2,X1] :
      ( ( greater(X2,X0)
        & greater(X0,X1) )
     => greater(X2,X1) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X2,X0] :
      ( ( greater(X0,X1)
        & greater(X1,X2) )
     => greater(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).

fof(f888,plain,
    ( smaller(mod1,very_low)
    | very_low = mod1
    | ~ spl5_28 ),
    inference(resolution,[],[f883,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | smaller(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( smaller(X1,X0)
      | greater(X1,X0)
      | X0 = X1 ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0] :
      ( smaller(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).

fof(f883,plain,
    ( ~ greater(mod1,very_low)
    | ~ spl5_28 ),
    inference(resolution,[],[f861,f41]) ).

fof(f41,plain,
    greater(high,mod1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    greater(high,mod1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ greater(high,X0)
        | ~ greater(X0,very_low) )
    | ~ spl5_28 ),
    inference(resolution,[],[f858,f50]) ).

fof(f858,plain,
    ( ~ greater(high,very_low)
    | ~ spl5_28 ),
    inference(backward_demodulation,[],[f744,f831]) ).

fof(f831,plain,
    ( high = sF3
    | ~ spl5_28 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f744,plain,
    ~ greater(sF3,very_low),
    inference(forward_demodulation,[],[f55,f727]) ).

fof(f818,plain,
    ( ~ spl5_3
    | spl5_19
    | ~ spl5_20 ),
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f817,plain,
    ( $false
    | ~ spl5_3
    | spl5_19
    | ~ spl5_20 ),
    inference(subsumption_resolution,[],[f810,f132]) ).

fof(f132,plain,
    ( smaller(very_low,mod2)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl5_3
  <=> smaller(very_low,mod2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f810,plain,
    ( ~ smaller(very_low,mod2)
    | spl5_19
    | ~ spl5_20 ),
    inference(backward_demodulation,[],[f742,f803]) ).

fof(f803,plain,
    ( mod2 = sF3
    | spl5_19
    | ~ spl5_20 ),
    inference(subsumption_resolution,[],[f802,f44]) ).

fof(f802,plain,
    ( mod2 = sF3
    | ~ organization(sK2)
    | spl5_19
    | ~ spl5_20 ),
    inference(subsumption_resolution,[],[f801,f367]) ).

fof(f367,plain,
    ( is_aligned(sK2,sK1)
    | ~ spl5_20 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f801,plain,
    ( ~ is_aligned(sK2,sK1)
    | mod2 = sF3
    | ~ organization(sK2)
    | spl5_19 ),
    inference(subsumption_resolution,[],[f800,f42]) ).

fof(f800,plain,
    ( has_immunity(sK2,sK1)
    | ~ is_aligned(sK2,sK1)
    | mod2 = sF3
    | ~ organization(sK2)
    | spl5_19 ),
    inference(subsumption_resolution,[],[f785,f363]) ).

fof(f363,plain,
    ( ~ positional_advantage(sK2,sK1)
    | spl5_19 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f785,plain,
    ( ~ organization(sK2)
    | positional_advantage(sK2,sK1)
    | mod2 = sF3
    | has_immunity(sK2,sK1)
    | ~ is_aligned(sK2,sK1) ),
    inference(superposition,[],[f36,f53]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( mod2 = hazard_of_mortality(X1,X0)
      | has_immunity(X1,X0)
      | positional_advantage(X1,X0)
      | ~ is_aligned(X1,X0)
      | ~ organization(X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f740,plain,
    ~ spl5_22,
    inference(avatar_contradiction_clause,[],[f739]) ).

fof(f739,plain,
    ( $false
    | ~ spl5_22 ),
    inference(subsumption_resolution,[],[f734,f47]) ).

fof(f734,plain,
    ( ~ greater(low,very_low)
    | ~ spl5_22 ),
    inference(backward_demodulation,[],[f680,f727]) ).

fof(f680,plain,
    ( ~ greater(low,sF4)
    | ~ spl5_22 ),
    inference(backward_demodulation,[],[f55,f669]) ).

fof(f669,plain,
    ( low = sF3
    | ~ spl5_22 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl5_22
  <=> low = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).

fof(f709,plain,
    ( spl5_4
    | spl5_3 ),
    inference(avatar_split_clause,[],[f706,f130,f134]) ).

fof(f134,plain,
    ( spl5_4
  <=> very_low = mod2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f706,plain,
    ( smaller(very_low,mod2)
    | very_low = mod2 ),
    inference(resolution,[],[f93,f52]) ).

fof(f93,plain,
    ~ greater(very_low,mod2),
    inference(resolution,[],[f71,f47]) ).

fof(f71,plain,
    ! [X5] :
      ( ~ greater(low,X5)
      | ~ greater(X5,mod2) ),
    inference(resolution,[],[f50,f60]) ).

fof(f60,plain,
    ~ greater(low,mod2),
    inference(resolution,[],[f51,f49]) ).

fof(f49,plain,
    greater(mod2,low),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).

fof(f674,plain,
    ( spl5_22
    | ~ spl5_19
    | ~ spl5_20 ),
    inference(avatar_split_clause,[],[f673,f365,f361,f667]) ).

fof(f673,plain,
    ( ~ positional_advantage(sK2,sK1)
    | low = sF3
    | ~ spl5_20 ),
    inference(subsumption_resolution,[],[f672,f367]) ).

fof(f672,plain,
    ( ~ is_aligned(sK2,sK1)
    | low = sF3
    | ~ positional_advantage(sK2,sK1) ),
    inference(subsumption_resolution,[],[f671,f42]) ).

fof(f671,plain,
    ( has_immunity(sK2,sK1)
    | low = sF3
    | ~ positional_advantage(sK2,sK1)
    | ~ is_aligned(sK2,sK1) ),
    inference(subsumption_resolution,[],[f656,f44]) ).

fof(f656,plain,
    ( ~ organization(sK2)
    | has_immunity(sK2,sK1)
    | low = sF3
    | ~ is_aligned(sK2,sK1)
    | ~ positional_advantage(sK2,sK1) ),
    inference(superposition,[],[f53,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( low = hazard_of_mortality(X1,X0)
      | ~ is_aligned(X1,X0)
      | ~ positional_advantage(X1,X0)
      | has_immunity(X1,X0)
      | ~ organization(X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f628,plain,
    ~ spl5_4,
    inference(avatar_contradiction_clause,[],[f627]) ).

fof(f627,plain,
    ( $false
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f607,f58]) ).

fof(f58,plain,
    ~ greater(very_low,low),
    inference(resolution,[],[f51,f47]) ).

fof(f607,plain,
    ( greater(very_low,low)
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f49,f136]) ).

fof(f136,plain,
    ( very_low = mod2
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f375,plain,
    ( spl5_8
    | spl5_7 ),
    inference(avatar_split_clause,[],[f372,f148,f152]) ).

fof(f372,plain,
    ( very_low = mod1
    | smaller(very_low,mod1) ),
    inference(resolution,[],[f88,f52]) ).

fof(f337,plain,
    ~ spl5_7,
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f321,f58]) ).

fof(f321,plain,
    ( greater(very_low,low)
    | ~ spl5_7 ),
    inference(backward_demodulation,[],[f46,f150]) ).

fof(f150,plain,
    ( very_low = mod1
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 03:24:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (12565)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (12564)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.51  % (12548)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.30/0.51  % (12552)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.52  % (12552)Refutation not found, incomplete strategy% (12552)------------------------------
% 1.30/0.52  % (12552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (12552)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.52  
% 1.30/0.52  % (12552)Memory used [KB]: 5884
% 1.30/0.52  % (12552)Time elapsed: 0.127 s
% 1.30/0.52  % (12552)Instructions burned: 1 (million)
% 1.30/0.52  % (12552)------------------------------
% 1.30/0.52  % (12552)------------------------------
% 1.30/0.52  % (12551)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52  % (12551)Refutation not found, incomplete strategy% (12551)------------------------------
% 1.30/0.52  % (12551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12576)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.30/0.52  % (12554)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.52  % (12568)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.30/0.52  % (12554)Refutation not found, incomplete strategy% (12554)------------------------------
% 1.30/0.52  % (12554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (12554)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.52  
% 1.30/0.52  % (12554)Memory used [KB]: 5884
% 1.30/0.52  % (12554)Time elapsed: 0.087 s
% 1.30/0.52  % (12554)Instructions burned: 1 (million)
% 1.30/0.52  % (12554)------------------------------
% 1.30/0.52  % (12554)------------------------------
% 1.30/0.52  % (12570)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.30/0.52  % (12559)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.52  % (12553)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.30/0.52  % (12575)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.30/0.52  % (12553)Refutation not found, incomplete strategy% (12553)------------------------------
% 1.30/0.52  % (12553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (12553)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.52  
% 1.30/0.52  % (12553)Memory used [KB]: 1407
% 1.30/0.52  % (12553)Time elapsed: 0.124 s
% 1.30/0.52  % (12553)Instructions burned: 1 (million)
% 1.30/0.52  % (12553)------------------------------
% 1.30/0.52  % (12553)------------------------------
% 1.30/0.52  % (12568)Refutation not found, incomplete strategy% (12568)------------------------------
% 1.30/0.52  % (12568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12550)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.52  % (12549)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.52  % (12571)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.30/0.52  % (12550)Instruction limit reached!
% 1.30/0.52  % (12550)------------------------------
% 1.30/0.52  % (12550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (12550)Termination reason: Unknown
% 1.30/0.52  % (12550)Termination phase: Saturation
% 1.30/0.52  
% 1.30/0.52  % (12550)Memory used [KB]: 5884
% 1.30/0.52  % (12550)Time elapsed: 0.126 s
% 1.30/0.52  % (12550)Instructions burned: 3 (million)
% 1.30/0.52  % (12550)------------------------------
% 1.30/0.52  % (12550)------------------------------
% 1.30/0.52  TRYING [1]
% 1.30/0.52  % (12565)Instruction limit reached!
% 1.30/0.52  % (12565)------------------------------
% 1.30/0.52  % (12565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (12565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (12565)Termination reason: Unknown
% 1.30/0.52  % (12565)Termination phase: Finite model building SAT solving
% 1.30/0.52  
% 1.30/0.52  % (12565)Memory used [KB]: 5884
% 1.30/0.52  % (12565)Time elapsed: 0.127 s
% 1.30/0.52  % (12565)Instructions burned: 3 (million)
% 1.30/0.52  % (12565)------------------------------
% 1.30/0.52  % (12565)------------------------------
% 1.30/0.53  % (12549)Refutation not found, incomplete strategy% (12549)------------------------------
% 1.30/0.53  % (12549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (12549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (12549)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (12549)Memory used [KB]: 5884
% 1.30/0.53  % (12549)Time elapsed: 0.125 s
% 1.30/0.53  % (12549)Instructions burned: 2 (million)
% 1.30/0.53  % (12549)------------------------------
% 1.30/0.53  % (12549)------------------------------
% 1.30/0.53  % (12560)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.30/0.53  % (12576)Instruction limit reached!
% 1.30/0.53  % (12576)------------------------------
% 1.30/0.53  % (12576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (12576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (12576)Termination reason: Unknown
% 1.30/0.53  % (12576)Termination phase: Saturation
% 1.30/0.53  
% 1.30/0.53  % (12576)Memory used [KB]: 6012
% 1.30/0.53  % (12576)Time elapsed: 0.135 s
% 1.30/0.53  % (12576)Instructions burned: 10 (million)
% 1.30/0.53  % (12576)------------------------------
% 1.30/0.53  % (12576)------------------------------
% 1.30/0.53  % (12572)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.53  % (12568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (12568)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (12568)Memory used [KB]: 5884
% 1.30/0.53  % (12568)Time elapsed: 0.135 s
% 1.30/0.53  % (12568)Instructions burned: 4 (million)
% 1.30/0.53  % (12568)------------------------------
% 1.30/0.53  % (12568)------------------------------
% 1.30/0.53  % (12560)Refutation not found, incomplete strategy% (12560)------------------------------
% 1.30/0.53  % (12560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (12560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (12560)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (12560)Memory used [KB]: 1407
% 1.30/0.53  % (12560)Time elapsed: 0.139 s
% 1.30/0.53  % (12560)Instructions burned: 2 (million)
% 1.30/0.53  % (12560)------------------------------
% 1.30/0.53  % (12560)------------------------------
% 1.30/0.53  % (12562)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.53  % (12567)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.30/0.53  % (12559)Refutation not found, incomplete strategy% (12559)------------------------------
% 1.30/0.53  % (12559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (12559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (12559)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (12559)Memory used [KB]: 6012
% 1.30/0.53  % (12559)Time elapsed: 0.137 s
% 1.30/0.53  % (12559)Instructions burned: 4 (million)
% 1.30/0.53  % (12559)------------------------------
% 1.30/0.53  % (12559)------------------------------
% 1.30/0.53  % (12563)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.53  % (12555)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.53  % (12562)Instruction limit reached!
% 1.30/0.53  % (12562)------------------------------
% 1.30/0.53  % (12562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (12562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (12562)Termination reason: Unknown
% 1.30/0.53  % (12562)Termination phase: Saturation
% 1.30/0.53  
% 1.30/0.53  % (12562)Memory used [KB]: 5884
% 1.30/0.53  % (12562)Time elapsed: 0.093 s
% 1.30/0.53  % (12562)Instructions burned: 3 (million)
% 1.30/0.53  % (12562)------------------------------
% 1.30/0.53  % (12562)------------------------------
% 1.49/0.53  % (12569)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.53  % (12558)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.49/0.53  % (12566)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.53  % (12577)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.49/0.53  % (12566)Instruction limit reached!
% 1.49/0.53  % (12566)------------------------------
% 1.49/0.53  % (12566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.53  % (12566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.53  % (12566)Termination reason: Unknown
% 1.49/0.53  % (12566)Termination phase: Saturation
% 1.49/0.53  
% 1.49/0.53  % (12566)Memory used [KB]: 5884
% 1.49/0.53  % (12566)Time elapsed: 0.002 s
% 1.49/0.53  % (12566)Instructions burned: 2 (million)
% 1.49/0.53  % (12566)------------------------------
% 1.49/0.53  % (12566)------------------------------
% 1.49/0.53  % (12573)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.49/0.53  % (12548)First to succeed.
% 1.49/0.53  % (12551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.53  % (12551)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.53  
% 1.49/0.53  % (12557)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.49/0.53  % (12551)Memory used [KB]: 5884
% 1.49/0.53  % (12551)Time elapsed: 0.125 s
% 1.49/0.53  % (12551)Instructions burned: 2 (million)
% 1.49/0.53  % (12551)------------------------------
% 1.49/0.53  % (12551)------------------------------
% 1.49/0.54  % (12548)Refutation found. Thanks to Tanya!
% 1.49/0.54  % SZS status Theorem for theBenchmark
% 1.49/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.54  % (12548)------------------------------
% 1.49/0.54  % (12548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54  % (12548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (12548)Termination reason: Refutation
% 1.49/0.54  
% 1.49/0.54  % (12548)Memory used [KB]: 6268
% 1.49/0.54  % (12548)Time elapsed: 0.128 s
% 1.49/0.54  % (12548)Instructions burned: 26 (million)
% 1.49/0.54  % (12548)------------------------------
% 1.49/0.54  % (12548)------------------------------
% 1.49/0.54  % (12547)Success in time 0.187 s
%------------------------------------------------------------------------------