TSTP Solution File: MGT055+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT055+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 : Tue May 21 00:42:28 EDT 2024

% Result   : Theorem 0.67s 0.84s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  109 (  25 unt;   0 def)
%            Number of atoms       :  345 (  34 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  356 ( 120   ~; 113   |;  83   &)
%                                         (  16 <=>;  23  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  173 ( 163   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f816,plain,
    $false,
    inference(avatar_sat_refutation,[],[f92,f169,f187,f810]) ).

fof(f810,plain,
    spl5_3,
    inference(avatar_contradiction_clause,[],[f809]) ).

fof(f809,plain,
    ( $false
    | spl5_3 ),
    inference(subsumption_resolution,[],[f808,f672]) ).

fof(f672,plain,
    ( dissimilar(sK0,sK1,sK3)
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f47,f121,f655,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X1,X2)
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X4,X3] :
      ( dissimilar(X0,X4,X3)
    <=> ( ~ ( is_aligned(X0,X4)
          <=> is_aligned(X0,X3) )
        & organization(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).

fof(f655,plain,
    ( ~ is_aligned(sK0,sK3)
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f47,f234,f310,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( greater(capability(X0,X1),capability(X0,X2))
      | ~ is_aligned(X0,X1)
      | is_aligned(X0,X2)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( greater(capability(X0,X1),capability(X0,X2))
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( greater(capability(X0,X1),capability(X0,X2))
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ~ is_aligned(X0,X2)
        & is_aligned(X0,X1)
        & organization(X0) )
     => greater(capability(X0,X1),capability(X0,X2)) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X4,X3] :
      ( ( ~ is_aligned(X0,X3)
        & is_aligned(X0,X4)
        & organization(X0) )
     => greater(capability(X0,X4),capability(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14) ).

fof(f310,plain,
    ( ~ greater(capability(sK0,sK3),capability(sK0,sK4))
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f47,f173,f91,f300,f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X1)
      | has_immunity(X0,X2)
      | ~ organization(X0)
      | greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( greater(capability(X0,X2),capability(X0,X1))
        & ~ has_immunity(X0,X2)
        & ~ has_immunity(X0,X1)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X4,X3] :
      ( ( greater(capability(X0,X3),capability(X0,X4))
        & ~ has_immunity(X0,X3)
        & ~ has_immunity(X0,X4)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16) ).

fof(f300,plain,
    ~ has_immunity(sK0,sK4),
    inference(unit_resulting_resolution,[],[f48,f194,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ greater(age(X0,X1),eta)
      | ~ has_endowment(X0)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ has_immunity(X0,X1)
            | ~ greater(age(X0,X1),eta) )
          & ( has_immunity(X0,X1)
            | ~ smaller_or_equal(age(X0,X1),eta) )
          & organization(X0) )
      | ~ has_endowment(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( has_endowment(X0)
     => ! [X1] :
          ( ( greater(age(X0,X1),eta)
           => ~ has_immunity(X0,X1) )
          & ( smaller_or_equal(age(X0,X1),eta)
           => has_immunity(X0,X1) )
          & organization(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( has_endowment(X0)
    <=> ! [X1] :
          ( ( greater(age(X0,X1),eta)
           => ~ has_immunity(X0,X1) )
          & ( smaller_or_equal(age(X0,X1),eta)
           => has_immunity(X0,X1) )
          & organization(X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( has_endowment(X0)
    <=> ! [X3] :
          ( ( greater(age(X0,X3),eta)
           => ~ has_immunity(X0,X3) )
          & ( smaller_or_equal(age(X0,X3),eta)
           => has_immunity(X0,X3) )
          & organization(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).

fof(f194,plain,
    greater(age(sK0,sK4),eta),
    inference(unit_resulting_resolution,[],[f54,f53,f67]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f53,plain,
    greater(age(sK0,sK4),sigma),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        | ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
        | ~ greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) )
      & greater(eta,zero)
      & greater(sigma,eta)
      & greater(age(X0,X4),sigma)
      & smaller_or_equal(age(X0,X3),sigma)
      & greater(age(X0,X3),eta)
      & smaller_or_equal(age(X0,X2),eta)
      & zero = age(X0,X1)
      & has_endowment(X0)
      & organization(X0) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        | ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
        | ~ greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) )
      & greater(eta,zero)
      & greater(sigma,eta)
      & greater(age(X0,X4),sigma)
      & smaller_or_equal(age(X0,X3),sigma)
      & greater(age(X0,X3),eta)
      & smaller_or_equal(age(X0,X2),eta)
      & zero = age(X0,X1)
      & has_endowment(X0)
      & organization(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( greater(eta,zero)
          & greater(sigma,eta)
          & greater(age(X0,X4),sigma)
          & smaller_or_equal(age(X0,X3),sigma)
          & greater(age(X0,X3),eta)
          & smaller_or_equal(age(X0,X2),eta)
          & zero = age(X0,X1)
          & has_endowment(X0)
          & organization(X0) )
       => ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
          & greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
          & greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0,X4,X5,X6,X7] :
        ( ( greater(eta,zero)
          & greater(sigma,eta)
          & greater(age(X0,X7),sigma)
          & smaller_or_equal(age(X0,X6),sigma)
          & greater(age(X0,X6),eta)
          & smaller_or_equal(age(X0,X5),eta)
          & zero = age(X0,X4)
          & has_endowment(X0)
          & organization(X0) )
       => ( hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5)
          & greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
          & greater(hazard_of_mortality(X0,X7),hazard_of_mortality(X0,X6)) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0,X4,X5,X6,X7] :
      ( ( greater(eta,zero)
        & greater(sigma,eta)
        & greater(age(X0,X7),sigma)
        & smaller_or_equal(age(X0,X6),sigma)
        & greater(age(X0,X6),eta)
        & smaller_or_equal(age(X0,X5),eta)
        & zero = age(X0,X4)
        & has_endowment(X0)
        & organization(X0) )
     => ( hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5)
        & greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
        & greater(hazard_of_mortality(X0,X7),hazard_of_mortality(X0,X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8) ).

fof(f54,plain,
    greater(sigma,eta),
    inference(cnf_transformation,[],[f28]) ).

fof(f48,plain,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f28]) ).

fof(f91,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
    | spl5_3 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl5_3
  <=> greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f173,plain,
    ~ has_immunity(sK0,sK3),
    inference(unit_resulting_resolution,[],[f48,f51,f57]) ).

fof(f51,plain,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f28]) ).

fof(f234,plain,
    ~ is_aligned(sK0,sK4),
    inference(unit_resulting_resolution,[],[f121,f190,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f190,plain,
    dissimilar(sK0,sK1,sK4),
    inference(unit_resulting_resolution,[],[f47,f49,f53,f66]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ greater(age(X0,X2),sigma)
      | zero != age(X0,X1)
      | dissimilar(X0,X1,X2)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) )
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) )
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( zero = age(X0,X1)
        & organization(X0) )
     => ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X4,X3] :
      ( ( zero = age(X0,X4)
        & organization(X0) )
     => ( greater(age(X0,X3),sigma)
      <=> dissimilar(X0,X4,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).

fof(f49,plain,
    zero = age(sK0,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f121,plain,
    is_aligned(sK0,sK1),
    inference(unit_resulting_resolution,[],[f47,f49,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( is_aligned(X0,X1)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( is_aligned(X0,X1)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( is_aligned(X0,X1)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( zero = age(X0,X1)
        & organization(X0) )
     => is_aligned(X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X3] :
      ( ( age(X0,X3) = zero
        & organization(X0) )
     => is_aligned(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).

fof(f47,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f28]) ).

fof(f808,plain,
    ( ~ dissimilar(sK0,sK1,sK3)
    | spl5_3 ),
    inference(subsumption_resolution,[],[f798,f795]) ).

fof(f795,plain,
    ( ~ greater(sigma,sigma)
    | spl5_3 ),
    inference(superposition,[],[f738,f775]) ).

fof(f775,plain,
    ( sigma = age(sK0,sK3)
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f52,f766,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( smaller(X0,X1)
      | X0 = X1
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( X0 = X1
        | smaller(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).

fof(f766,plain,
    ( ~ smaller(age(sK0,sK3),sigma)
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f738,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f52,plain,
    smaller_or_equal(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f28]) ).

fof(f738,plain,
    ( ~ greater(sigma,age(sK0,sK3))
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f695,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f695,plain,
    ( greater(age(sK0,sK3),sigma)
    | spl5_3 ),
    inference(unit_resulting_resolution,[],[f47,f49,f672,f65]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( zero != age(X0,X1)
      | ~ organization(X0)
      | ~ dissimilar(X0,X1,X2)
      | greater(age(X0,X2),sigma) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f798,plain,
    ( greater(sigma,sigma)
    | ~ dissimilar(sK0,sK1,sK3)
    | spl5_3 ),
    inference(superposition,[],[f127,f775]) ).

fof(f127,plain,
    ! [X0] :
      ( greater(age(sK0,X0),sigma)
      | ~ dissimilar(sK0,sK1,X0) ),
    inference(subsumption_resolution,[],[f126,f47]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ organization(sK0)
      | ~ dissimilar(sK0,sK1,X0)
      | greater(age(sK0,X0),sigma) ),
    inference(trivial_inequality_removal,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( zero != zero
      | ~ organization(sK0)
      | ~ dissimilar(sK0,sK1,X0)
      | greater(age(sK0,X0),sigma) ),
    inference(superposition,[],[f65,f49]) ).

fof(f187,plain,
    spl5_2,
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | spl5_2 ),
    inference(subsumption_resolution,[],[f184,f87]) ).

fof(f87,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl5_2
  <=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f184,plain,
    greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
    inference(unit_resulting_resolution,[],[f47,f155,f173,f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ has_immunity(X0,X1)
      | has_immunity(X0,X2)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ~ has_immunity(X0,X2)
        & has_immunity(X0,X1)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X4,X3] :
      ( ( ~ has_immunity(X0,X3)
        & has_immunity(X0,X4)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).

fof(f155,plain,
    has_immunity(sK0,sK2),
    inference(unit_resulting_resolution,[],[f48,f50,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ smaller_or_equal(age(X0,X1),eta)
      | ~ has_endowment(X0)
      | has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f28]) ).

fof(f169,plain,
    spl5_1,
    inference(avatar_split_clause,[],[f159,f81]) ).

fof(f81,plain,
    ( spl5_1
  <=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f159,plain,
    hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1),
    inference(unit_resulting_resolution,[],[f129,f47,f155,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
      | ~ has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
      | ~ has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( has_immunity(X0,X2)
        & has_immunity(X0,X1)
        & organization(X0) )
     => hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X4,X3] :
      ( ( has_immunity(X0,X3)
        & has_immunity(X0,X4)
        & organization(X0) )
     => hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).

fof(f129,plain,
    has_immunity(sK0,sK1),
    inference(subsumption_resolution,[],[f128,f48]) ).

fof(f128,plain,
    ( ~ has_endowment(sK0)
    | has_immunity(sK0,sK1) ),
    inference(subsumption_resolution,[],[f125,f115]) ).

fof(f115,plain,
    smaller_or_equal(zero,eta),
    inference(unit_resulting_resolution,[],[f100,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f100,plain,
    smaller(zero,eta),
    inference(unit_resulting_resolution,[],[f55,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f55,plain,
    greater(eta,zero),
    inference(cnf_transformation,[],[f28]) ).

fof(f125,plain,
    ( ~ smaller_or_equal(zero,eta)
    | ~ has_endowment(sK0)
    | has_immunity(sK0,sK1) ),
    inference(superposition,[],[f58,f49]) ).

fof(f92,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f46,f89,f85,f81]) ).

fof(f46,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
    inference(cnf_transformation,[],[f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : MGT055+1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.17/0.38  % Computer : n011.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Sun May 19 00:03:23 EDT 2024
% 0.17/0.38  % CPUTime    : 
% 0.17/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.39  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.82  % (9089)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.65/0.82  % (9088)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 theBenchmark for (2995ds/83Mi)
% 0.65/0.82  % (9082)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 theBenchmark for (2995ds/34Mi)
% 0.65/0.82  % (9084)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.65/0.82  % (9085)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.65/0.82  % (9083)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 theBenchmark for (2995ds/51Mi)
% 0.65/0.82  % (9086)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 theBenchmark for (2995ds/34Mi)
% 0.65/0.83  % (9087)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.67/0.83  % (9088)First to succeed.
% 0.67/0.84  % (9088)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9081"
% 0.67/0.84  % (9088)Refutation found. Thanks to Tanya!
% 0.67/0.84  % SZS status Theorem for theBenchmark
% 0.67/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.84  % (9088)------------------------------
% 0.67/0.84  % (9088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (9088)Termination reason: Refutation
% 0.67/0.84  
% 0.67/0.84  % (9088)Memory used [KB]: 1222
% 0.67/0.84  % (9088)Time elapsed: 0.018 s
% 0.67/0.84  % (9088)Instructions burned: 26 (million)
% 0.67/0.84  % (9081)Success in time 0.448 s
% 0.67/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------