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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.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 : Thu Sep 24 01:25:29 PM UTC 2026

% Result   : Theorem 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  101 (  13 unt;  12 def)
%            Number of atoms       :  311 (  33 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  334 ( 124   ~; 123   |;  63   &)
%                                         (  17 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  13 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  102 (  95   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( smaller_or_equal(X,Y)
    <=> ( X = Y
        | smaller(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( greater_or_equal(X,Y)
    <=> ( X = Y
        | greater(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f5,axiom,
    ! [X,Y,Z] :
      ( ( greater(Y,Z)
        & greater(X,Y) )
     => greater(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] :
      ( has_endowment(X)
    <=> ! [T] :
          ( ( greater(age(X,T),eta)
           => ~ has_immunity(X,T) )
          & ( smaller_or_equal(age(X,T),eta)
           => has_immunity(X,T) )
          & organization(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,T0,T] :
      ( ( has_immunity(X,T)
        & has_immunity(X,T0)
        & organization(X) )
     => hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,T0,T] :
      ( ( ~ has_immunity(X,T)
        & has_immunity(X,T0)
        & organization(X) )
     => greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,conjecture,
    ! [X,T0,T1,T2] :
      ( ( greater(sigma,zero)
        & greater_or_equal(eta,sigma)
        & greater(age(X,T2),eta)
        & smaller_or_equal(age(X,T1),eta)
        & age(X,T0) = zero
        & has_endowment(X)
        & organization(X) )
     => ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
        & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ~ ! [X,T0,T1,T2] :
        ( ( greater(sigma,zero)
          & greater_or_equal(eta,sigma)
          & greater(age(X,T2),eta)
          & smaller_or_equal(age(X,T1),eta)
          & age(X,T0) = zero
          & has_endowment(X)
          & organization(X) )
       => ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
          & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ) ),
    inference(negated_conjecture,[status(cth)],[f10]) ).

fof(f12,plain,
    ! [X,Y] :
      ( ( ( X != Y
          & ~ smaller(X,Y) )
        | smaller_or_equal(X,Y) )
      & ( X = Y
        | smaller(X,Y)
        | ~ smaller_or_equal(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f13,plain,
    ( ! [X,Y] :
        ( ( X != Y
          & ~ smaller(X,Y) )
        | smaller_or_equal(X,Y) )
    & ! [X,Y] :
        ( X = Y
        | smaller(X,Y)
        | ~ smaller_or_equal(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( X0 = X1
      | smaller(X0,X1)
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f17,plain,
    ! [X,Y] :
      ( ( ( X != Y
          & ~ greater(X,Y) )
        | greater_or_equal(X,Y) )
      & ( X = Y
        | greater(X,Y)
        | ~ greater_or_equal(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f2]) ).

fof(f18,plain,
    ( ! [X,Y] :
        ( ( X != Y
          & ~ greater(X,Y) )
        | greater_or_equal(X,Y) )
    & ! [X,Y] :
        ( X = Y
        | greater(X,Y)
        | ~ greater_or_equal(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X0,X1)
      | ~ greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f22,plain,
    ! [X,Y] :
      ( ( ~ greater(Y,X)
        | smaller(X,Y) )
      & ( greater(Y,X)
        | ~ smaller(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f3]) ).

fof(f23,plain,
    ( ! [X,Y] :
        ( ~ greater(Y,X)
        | smaller(X,Y) )
    & ! [X,Y] :
        ( greater(Y,X)
        | ~ smaller(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f22]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | smaller(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f26,plain,
    ! [X,Y] :
      ( ~ greater(Y,X)
      | ~ greater(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f28,plain,
    ! [X,Y,Z] :
      ( greater(X,Z)
      | ~ greater(Y,Z)
      | ~ greater(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f29,plain,
    ! [X,Z] :
      ( greater(X,Z)
      | ! [Y] :
          ( ~ greater(Y,Z)
          | ~ greater(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f28]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f32,plain,
    ! [X] :
      ( has_endowment(X)
    <=> ! [T] :
          ( ( ~ has_immunity(X,T)
            | ~ greater(age(X,T),eta) )
          & ( has_immunity(X,T)
            | ~ smaller_or_equal(age(X,T),eta) )
          & organization(X) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f33,plain,
    ! [X] :
      ( ( ? [T] :
            ( ( has_immunity(X,T)
              & greater(age(X,T),eta) )
            | ( ~ has_immunity(X,T)
              & smaller_or_equal(age(X,T),eta) )
            | ~ organization(X) )
        | has_endowment(X) )
      & ( ! [T] :
            ( ( ~ has_immunity(X,T)
              | ~ greater(age(X,T),eta) )
            & ( has_immunity(X,T)
              | ~ smaller_or_equal(age(X,T),eta) )
            & organization(X) )
        | ~ has_endowment(X) ) ),
    inference(NNF_transformation,[status(thm)],[f32]) ).

fof(f34,plain,
    ( ! [X] :
        ( ? [T] :
            ( has_immunity(X,T)
            & greater(age(X,T),eta) )
        | ? [T] :
            ( ~ has_immunity(X,T)
            & smaller_or_equal(age(X,T),eta) )
        | ~ organization(X)
        | has_endowment(X) )
    & ! [X] :
        ( ( ! [T] :
              ( ~ has_immunity(X,T)
              | ~ greater(age(X,T),eta) )
          & ! [T] :
              ( has_immunity(X,T)
              | ~ smaller_or_equal(age(X,T),eta) )
          & organization(X) )
        | ~ has_endowment(X) ) ),
    inference(miniscoping,[status(thm)],[f33]) ).

fof(f35,plain,
    ( ! [X] :
        ( ( has_immunity(X,sK1_skl(X))
          & greater(age(X,sK1_skl(X)),eta) )
        | ( ~ has_immunity(X,sK0_skl(X))
          & smaller_or_equal(age(X,sK0_skl(X)),eta) )
        | ~ organization(X)
        | has_endowment(X) )
    & ! [X] :
        ( ( ! [T] :
              ( ~ has_immunity(X,T)
              | ~ greater(age(X,T),eta) )
          & ! [T] :
              ( has_immunity(X,T)
              | ~ smaller_or_equal(age(X,T),eta) )
          & organization(X) )
        | ~ has_endowment(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(X)),skolemize(T,sK1_skl(X))],[f34]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( has_immunity(X0,X1)
      | ~ smaller_or_equal(age(X0,X1),eta)
      | ~ has_endowment(X0) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta)
      | ~ has_endowment(X0) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f43,plain,
    ! [X,T0,T] :
      ( hazard_of_mortality(X,T0) = hazard_of_mortality(X,T)
      | ~ has_immunity(X,T)
      | ~ has_immunity(X,T0)
      | ~ organization(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f44,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(cnf_transformation,[status(thm)],[f43]) ).

fof(f45,plain,
    ! [X,T0,T] :
      ( greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
      | has_immunity(X,T)
      | ~ has_immunity(X,T0)
      | ~ organization(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f46,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(cnf_transformation,[status(thm)],[f45]) ).

fof(f47,plain,
    ? [X,T0,T1,T2] :
      ( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
        | ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) )
      & greater(sigma,zero)
      & greater_or_equal(eta,sigma)
      & greater(age(X,T2),eta)
      & smaller_or_equal(age(X,T1),eta)
      & age(X,T0) = zero
      & has_endowment(X)
      & organization(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f48,plain,
    ( ( hazard_of_mortality(sK2_skl,sK4_skl) != hazard_of_mortality(sK2_skl,sK3_skl)
      | ~ greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)) )
    & greater(sigma,zero)
    & greater_or_equal(eta,sigma)
    & greater(age(sK2_skl,sK5_skl),eta)
    & smaller_or_equal(age(sK2_skl,sK4_skl),eta)
    & age(sK2_skl,sK3_skl) = zero
    & has_endowment(sK2_skl)
    & organization(sK2_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK2_skl),skolemize(T0,sK3_skl),skolemize(T1,sK4_skl),skolemize(T2,sK5_skl)],[f47]) ).

fof(f49,plain,
    organization(sK2_skl),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f50,plain,
    has_endowment(sK2_skl),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f51,plain,
    age(sK2_skl,sK3_skl) = zero,
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f52,plain,
    smaller_or_equal(age(sK2_skl,sK4_skl),eta),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f53,plain,
    greater(age(sK2_skl,sK5_skl),eta),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f54,plain,
    greater_or_equal(eta,sigma),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f55,plain,
    greater(sigma,zero),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f56,plain,
    ( hazard_of_mortality(sK2_skl,sK4_skl) != hazard_of_mortality(sK2_skl,sK3_skl)
    | ~ greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f57,definition,
    ( sQ0_spl
  <=> greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f59,plain,
    ( sQ0_spl
    | ~ greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)) ),
    inference(component_clause,[status(thm)],[f57]) ).

fof(f60,definition,
    ( sQ1_spl
  <=> hazard_of_mortality(sK2_skl,sK4_skl) = hazard_of_mortality(sK2_skl,sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f62,plain,
    ( sQ1_spl
    | hazard_of_mortality(sK2_skl,sK4_skl) != hazard_of_mortality(sK2_skl,sK3_skl) ),
    inference(component_clause,[status(thm)],[f60]) ).

fof(f63,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f56,f57,f60]) ).

fof(f70,plain,
    ( eta = sigma
    | greater(eta,sigma) ),
    inference(resolution,[status(thm)],[f19,f54]) ).

fof(f75,definition,
    ( sQ3_spl
  <=> sigma = zero ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f76,plain,
    ( ~ sQ3_spl
    | sigma = zero ),
    inference(component_clause,[status(thm)],[f75]) ).

fof(f79,definition,
    ( sQ4_spl
  <=> greater(eta,sigma) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f80,plain,
    ( ~ sQ4_spl
    | greater(eta,sigma) ),
    inference(component_clause,[status(thm)],[f79]) ).

fof(f82,definition,
    ( sQ5_spl
  <=> eta = sigma ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f83,plain,
    ( ~ sQ5_spl
    | eta = sigma ),
    inference(component_clause,[status(thm)],[f82]) ).

fof(f85,plain,
    ( sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f70,f79,f82]) ).

fof(f89,plain,
    ! [X0] :
      ( greater(X0,zero)
      | ~ greater(X0,sigma) ),
    inference(resolution,[status(thm)],[f30,f55]) ).

fof(f90,plain,
    ( has_immunity(sK2_skl,sK4_skl)
    | ~ has_endowment(sK2_skl) ),
    inference(resolution,[status(thm)],[f37,f52]) ).

fof(f91,plain,
    ( has_immunity(sK2_skl,sK3_skl)
    | ~ smaller_or_equal(zero,eta)
    | ~ has_endowment(sK2_skl) ),
    inference(paramodulation,[status(thm)],[f51,f37]) ).

fof(f92,definition,
    ( sQ6_spl
  <=> has_endowment(sK2_skl) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f94,plain,
    ( sQ6_spl
    | ~ has_endowment(sK2_skl) ),
    inference(component_clause,[status(thm)],[f92]) ).

fof(f95,definition,
    ( sQ7_spl
  <=> has_immunity(sK2_skl,sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f98,plain,
    ( sQ7_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f90,f92,f95]) ).

fof(f99,definition,
    ( sQ8_spl
  <=> smaller_or_equal(zero,eta) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f101,plain,
    ( sQ8_spl
    | ~ smaller_or_equal(zero,eta) ),
    inference(component_clause,[status(thm)],[f99]) ).

fof(f102,definition,
    ( sQ9_spl
  <=> has_immunity(sK2_skl,sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f105,plain,
    ( sQ9_spl
    | ~ sQ8_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f91,f92,f99,f102]) ).

fof(f106,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f94,f50]) ).

fof(f107,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f106]) ).

fof(f109,plain,
    smaller(zero,sigma),
    inference(resolution,[status(thm)],[f25,f55]) ).

fof(f113,plain,
    smaller_or_equal(zero,sigma),
    inference(resolution,[status(thm)],[f109,f15]) ).

fof(f114,plain,
    ( zero = sigma
    | smaller(zero,sigma) ),
    inference(resolution,[status(thm)],[f14,f113]) ).

fof(f118,definition,
    ( sQ10_spl
  <=> smaller(zero,sigma) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f119,plain,
    ( ~ sQ10_spl
    | smaller(zero,sigma) ),
    inference(component_clause,[status(thm)],[f118]) ).

fof(f121,plain,
    ( sQ3_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f114,f118,f75]) ).

fof(f155,plain,
    ( ~ sQ10_spl
    | smaller_or_equal(zero,sigma) ),
    inference(resolution,[status(thm)],[f119,f15]) ).

fof(f164,definition,
    ( sQ14_spl
  <=> has_immunity(sK2_skl,sK5_skl) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f172,plain,
    ( ~ sQ3_spl
    | greater(sigma,sigma) ),
    inference(forward_demodulation,[status(thm)],[f76,f55]) ).

fof(f175,plain,
    ( ~ sQ3_spl
    | ~ greater(sigma,sigma) ),
    inference(resolution,[status(thm)],[f172,f27]) ).

fof(f177,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f172]) ).

fof(f178,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f177]) ).

fof(f208,plain,
    ( ~ sQ4_spl
    | greater(eta,zero) ),
    inference(resolution,[status(thm)],[f89,f80]) ).

fof(f209,plain,
    ( ~ sQ4_spl
    | smaller(zero,eta) ),
    inference(resolution,[status(thm)],[f208,f25]) ).

fof(f214,plain,
    ( ~ sQ4_spl
    | smaller_or_equal(zero,eta) ),
    inference(resolution,[status(thm)],[f209,f15]) ).

fof(f215,plain,
    ( sQ0_spl
    | has_immunity(sK2_skl,sK5_skl)
    | ~ has_immunity(sK2_skl,sK4_skl)
    | ~ organization(sK2_skl) ),
    inference(resolution,[status(thm)],[f59,f46]) ).

fof(f216,definition,
    ( sQ15_spl
  <=> organization(sK2_skl) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f218,plain,
    ( sQ15_spl
    | ~ organization(sK2_skl) ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f219,plain,
    ( sQ0_spl
    | sQ14_spl
    | ~ sQ7_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f215,f216,f95,f164,f57]) ).

fof(f220,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f218,f49]) ).

fof(f221,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f220]) ).

fof(f269,plain,
    ( sQ8_spl
    | ~ sQ5_spl
    | ~ smaller_or_equal(zero,sigma) ),
    inference(forward_demodulation,[status(thm)],[f83,f101]) ).

fof(f270,plain,
    ( sQ8_spl
    | ~ sQ5_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f269,f155]) ).

fof(f271,plain,
    ( sQ8_spl
    | ~ sQ5_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f270]) ).

fof(f316,plain,
    ( ~ sQ4_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f214,f99,f79]) ).

fof(f333,plain,
    ( sQ1_spl
    | ~ has_immunity(sK2_skl,sK3_skl)
    | ~ has_immunity(sK2_skl,sK4_skl)
    | ~ organization(sK2_skl) ),
    inference(resolution,[status(thm)],[f62,f44]) ).

fof(f335,plain,
    ( sQ1_spl
    | ~ sQ9_spl
    | ~ sQ7_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f333,f216,f95,f102,f60]) ).

fof(f368,plain,
    ( ~ has_immunity(sK2_skl,sK5_skl)
    | ~ has_endowment(sK2_skl) ),
    inference(resolution,[status(thm)],[f53,f38]) ).

fof(f373,plain,
    ( ~ sQ14_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f368,f92,f164]) ).

fof(f374,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f63,f85,f98,f105,f107,f121,f178,f219,f221,f271,f316,f335,f373]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 01:23:37 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.14/0.38  % Drodi V4.1.1
% 0.14/0.41  % Refutation found
% 0.14/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43  % Elapsed time: 0.057932 seconds
% 0.14/0.43  % CPU time: 0.196690 seconds
% 0.14/0.43  % Total memory used: 103.207 MB
% 0.14/0.43  % Net memory used: 102.855 MB
%------------------------------------------------------------------------------