TSTP Solution File: MGT057+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 : Thu Aug 31 09:14:51 EDT 2023

% Result   : Theorem 2.18s 1.15s
% Output   : CNFRefutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  110 (  24 unt;   0 def)
%            Number of atoms       :  328 (  74 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  348 ( 130   ~; 129   |;  70   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  167 (   0 sgn;  85   !;  12   ?)

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

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

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

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(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(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(f10,conjecture,
    ! [X0,X4,X5,X6] :
      ( ( greater(eta,zero)
        & greater(age(X0,X6),eta)
        & smaller_or_equal(age(X0,X5),eta)
        & age(X0,X4) = zero
        & 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)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_6) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X4,X5,X6] :
        ( ( greater(eta,zero)
          & greater(age(X0,X6),eta)
          & smaller_or_equal(age(X0,X5),eta)
          & age(X0,X4) = zero
          & 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)) ) ),
    inference(negated_conjecture,[],[f10]) ).

fof(f12,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(f13,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(f14,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(f15,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( greater(eta,zero)
          & 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)) ) ),
    inference(rectify,[],[f11]) ).

fof(f16,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,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f20,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,[],[f16]) ).

fof(f21,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,[],[f13]) ).

fof(f22,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,[],[f21]) ).

fof(f23,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,[],[f14]) ).

fof(f24,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,[],[f23]) ).

fof(f25,plain,
    ? [X0,X1,X2,X3] :
      ( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        | ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
      & greater(eta,zero)
      & greater(age(X0,X3),eta)
      & smaller_or_equal(age(X0,X2),eta)
      & zero = age(X0,X1)
      & has_endowment(X0)
      & organization(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f26,plain,
    ? [X0,X1,X2,X3] :
      ( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        | ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
      & greater(eta,zero)
      & greater(age(X0,X3),eta)
      & smaller_or_equal(age(X0,X2),eta)
      & zero = age(X0,X1)
      & has_endowment(X0)
      & organization(X0) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( smaller_or_equal(X0,X1)
        | ( X0 != X1
          & ~ smaller(X0,X1) ) )
      & ( X0 = X1
        | smaller(X0,X1)
        | ~ smaller_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( smaller_or_equal(X0,X1)
        | ( X0 != X1
          & ~ smaller(X0,X1) ) )
      & ( X0 = X1
        | smaller(X0,X1)
        | ~ smaller_or_equal(X0,X1) ) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( smaller(X0,X1)
        | ~ greater(X1,X0) )
      & ( greater(X1,X0)
        | ~ smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f30,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
          | ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
        & greater(eta,zero)
        & greater(age(X0,X3),eta)
        & smaller_or_equal(age(X0,X2),eta)
        & zero = age(X0,X1)
        & has_endowment(X0)
        & organization(X0) )
   => ( ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
        | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
      & greater(eta,zero)
      & greater(age(sK0,sK3),eta)
      & smaller_or_equal(age(sK0,sK2),eta)
      & zero = age(sK0,sK1)
      & has_endowment(sK0)
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ( ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
      | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
    & greater(eta,zero)
    & greater(age(sK0,sK3),eta)
    & smaller_or_equal(age(sK0,sK2),eta)
    & zero = age(sK0,sK1)
    & has_endowment(sK0)
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f26,f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( X0 = X1
      | smaller(X0,X1)
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( smaller(X0,X1)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( has_immunity(X0,X1)
      | ~ smaller_or_equal(age(X0,X1),eta)
      | ~ has_endowment(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta)
      | ~ has_endowment(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
      | ~ has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f45,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f46,plain,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f47,plain,
    zero = age(sK0,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f48,plain,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f31]) ).

fof(f49,plain,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    greater(eta,zero),
    inference(cnf_transformation,[],[f31]) ).

fof(f51,plain,
    ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f52,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f34]) ).

cnf(c_49,plain,
    smaller_or_equal(X0,X0),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_50,plain,
    ( ~ smaller(X0,X1)
    | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_51,plain,
    ( ~ smaller_or_equal(X0,X1)
    | X0 = X1
    | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_52,plain,
    ( ~ greater(X0,X1)
    | smaller(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_53,plain,
    ( ~ smaller(X0,X1)
    | greater(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_54,plain,
    ( ~ greater(X0,X1)
    | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_56,plain,
    ( X0 = X1
    | smaller(X0,X1)
    | greater(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_57,plain,
    ( ~ greater(age(X0,X1),eta)
    | ~ has_immunity(X0,X1)
    | ~ has_endowment(X0) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_58,plain,
    ( ~ smaller_or_equal(age(X0,X1),eta)
    | ~ has_endowment(X0)
    | has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_60,plain,
    ( ~ has_immunity(X0,X1)
    | ~ has_immunity(X0,X2)
    | ~ organization(X0)
    | hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_61,plain,
    ( ~ has_immunity(X0,X1)
    | ~ organization(X0)
    | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
    | has_immunity(X0,X2) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_62,negated_conjecture,
    ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_63,negated_conjecture,
    greater(eta,zero),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_64,negated_conjecture,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_65,negated_conjecture,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_66,negated_conjecture,
    age(sK0,sK1) = zero,
    inference(cnf_transformation,[],[f47]) ).

cnf(c_67,negated_conjecture,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_68,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_241,plain,
    ( X0 != sK0
    | ~ smaller_or_equal(age(X0,X1),eta)
    | has_immunity(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_67]) ).

cnf(c_242,plain,
    ( ~ smaller_or_equal(age(sK0,X0),eta)
    | has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_241]) ).

cnf(c_250,plain,
    ( X0 != sK0
    | ~ greater(age(X0,X1),eta)
    | ~ has_immunity(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_67]) ).

cnf(c_251,plain,
    ( ~ greater(age(sK0,X0),eta)
    | ~ has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_250]) ).

cnf(c_263,plain,
    ( X0 != sK0
    | ~ has_immunity(X0,X1)
    | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
    | has_immunity(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_68]) ).

cnf(c_264,plain,
    ( ~ has_immunity(sK0,X0)
    | greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
    | has_immunity(sK0,X1) ),
    inference(unflattening,[status(thm)],[c_263]) ).

cnf(c_274,plain,
    ( X0 != sK0
    | ~ has_immunity(X0,X1)
    | ~ has_immunity(X0,X2)
    | hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_68]) ).

cnf(c_275,plain,
    ( ~ has_immunity(sK0,X0)
    | ~ has_immunity(sK0,X1)
    | hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,X1) ),
    inference(unflattening,[status(thm)],[c_274]) ).

cnf(c_296,plain,
    ( age(sK0,X0) != X1
    | X1 != eta
    | has_immunity(sK0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_242]) ).

cnf(c_297,plain,
    ( age(sK0,X0) != eta
    | has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_296]) ).

cnf(c_305,plain,
    ( age(sK0,sK2) != X0
    | X1 != eta
    | X0 = X1
    | smaller(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_65]) ).

cnf(c_306,plain,
    ( age(sK0,sK2) = eta
    | smaller(age(sK0,sK2),eta) ),
    inference(unflattening,[status(thm)],[c_305]) ).

cnf(c_313,plain,
    ( age(sK0,X0) != X1
    | X2 != eta
    | ~ smaller(X1,X2)
    | has_immunity(sK0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_242]) ).

cnf(c_314,plain,
    ( ~ smaller(age(sK0,X0),eta)
    | has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_313]) ).

cnf(c_322,plain,
    ( age(sK0,X0) != age(sK0,sK2)
    | eta != eta
    | has_immunity(sK0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_242]) ).

cnf(c_356,plain,
    ( age(sK0,X1) != X2
    | X0 != eta
    | ~ greater(X0,X2)
    | has_immunity(sK0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_314]) ).

cnf(c_357,plain,
    ( ~ greater(eta,age(sK0,X0))
    | has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_356]) ).

cnf(c_365,plain,
    ( age(sK0,sK2) != X0
    | X1 != eta
    | age(sK0,sK2) = eta
    | greater(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_306]) ).

cnf(c_366,plain,
    ( age(sK0,sK2) = eta
    | greater(eta,age(sK0,sK2)) ),
    inference(unflattening,[status(thm)],[c_365]) ).

cnf(c_373,plain,
    ( age(sK0,X0) != X1
    | X2 != eta
    | X1 = X2
    | greater(X1,X2)
    | has_immunity(sK0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_314]) ).

cnf(c_374,plain,
    ( age(sK0,X0) = eta
    | greater(age(sK0,X0),eta)
    | has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_373]) ).

cnf(c_398,plain,
    ( age(sK0,X0) != age(sK0,sK2)
    | has_immunity(sK0,X0) ),
    inference(equality_resolution_simp,[status(thm)],[c_322]) ).

cnf(c_400,plain,
    ( ~ has_immunity(sK0,X0)
    | ~ greater(age(sK0,X0),eta) ),
    inference(prop_impl_just,[status(thm)],[c_251]) ).

cnf(c_401,plain,
    ( ~ greater(age(sK0,X0),eta)
    | ~ has_immunity(sK0,X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

cnf(c_402,plain,
    ( has_immunity(sK0,X0)
    | greater(age(sK0,X0),eta) ),
    inference(prop_impl_just,[status(thm)],[c_297,c_374]) ).

cnf(c_403,plain,
    ( greater(age(sK0,X0),eta)
    | has_immunity(sK0,X0) ),
    inference(renaming,[status(thm)],[c_402]) ).

cnf(c_414,plain,
    ( has_immunity(sK0,X0)
    | age(sK0,X0) != age(sK0,sK2) ),
    inference(prop_impl_just,[status(thm)],[c_398]) ).

cnf(c_415,plain,
    ( age(sK0,X0) != age(sK0,sK2)
    | has_immunity(sK0,X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_416,plain,
    ( has_immunity(sK0,X0)
    | ~ greater(eta,age(sK0,X0)) ),
    inference(prop_impl_just,[status(thm)],[c_357]) ).

cnf(c_417,plain,
    ( ~ greater(eta,age(sK0,X0))
    | has_immunity(sK0,X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_420,plain,
    ( age(sK0,sK2) = eta
    | greater(eta,age(sK0,sK2)) ),
    inference(prop_impl_just,[status(thm)],[c_366]) ).

cnf(c_578,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_934,plain,
    ~ greater(zero,eta),
    inference(superposition,[status(thm)],[c_63,c_54]) ).

cnf(c_1013,plain,
    ( greater(zero,eta)
    | has_immunity(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_66,c_403]) ).

cnf(c_1017,plain,
    has_immunity(sK0,sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_1013,c_934]) ).

cnf(c_1025,plain,
    ( ~ has_immunity(sK0,X0)
    | hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,sK1) ),
    inference(superposition,[status(thm)],[c_1017,c_275]) ).

cnf(c_1093,plain,
    age(sK0,sK2) = age(sK0,sK2),
    inference(instantiation,[status(thm)],[c_578]) ).

cnf(c_1094,plain,
    ( age(sK0,sK2) != age(sK0,sK2)
    | has_immunity(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_415]) ).

cnf(c_1264,plain,
    ( age(sK0,sK2) = eta
    | has_immunity(sK0,sK2) ),
    inference(superposition,[status(thm)],[c_420,c_417]) ).

cnf(c_1278,plain,
    has_immunity(sK0,sK2),
    inference(global_subsumption_just,[status(thm)],[c_1264,c_1093,c_1094]) ).

cnf(c_1280,plain,
    hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2),
    inference(superposition,[status(thm)],[c_1278,c_1025]) ).

cnf(c_1284,plain,
    ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_62,c_1280]) ).

cnf(c_1287,negated_conjecture,
    ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
    inference(global_subsumption_just,[status(thm)],[c_62,c_1284]) ).

cnf(c_1295,plain,
    ~ has_immunity(sK0,sK3),
    inference(superposition,[status(thm)],[c_64,c_401]) ).

cnf(c_1324,plain,
    ( ~ has_immunity(sK0,sK2)
    | has_immunity(sK0,sK3) ),
    inference(superposition,[status(thm)],[c_264,c_1287]) ).

cnf(c_1327,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1324,c_1295,c_1094,c_1093]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.16/0.35  % Computer : n008.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 06:38:47 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.18/1.15  % SZS status Started for theBenchmark.p
% 2.18/1.15  % SZS status Theorem for theBenchmark.p
% 2.18/1.15  
% 2.18/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.18/1.15  
% 2.18/1.15  ------  iProver source info
% 2.18/1.15  
% 2.18/1.15  git: date: 2023-05-31 18:12:56 +0000
% 2.18/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.18/1.15  git: non_committed_changes: false
% 2.18/1.15  git: last_make_outside_of_git: false
% 2.18/1.15  
% 2.18/1.15  ------ Parsing...
% 2.18/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.18/1.15  
% 2.18/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 2.18/1.15  
% 2.18/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.18/1.15  
% 2.18/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.18/1.15  ------ Proving...
% 2.18/1.15  ------ Problem Properties 
% 2.18/1.15  
% 2.18/1.15  
% 2.18/1.15  clauses                                 15
% 2.18/1.15  conjectures                             4
% 2.18/1.15  EPR                                     4
% 2.18/1.15  Horn                                    11
% 2.18/1.15  unary                                   3
% 2.18/1.15  binary                                  8
% 2.18/1.15  lits                                    31
% 2.18/1.15  lits eq                                 7
% 2.18/1.15  fd_pure                                 0
% 2.18/1.15  fd_pseudo                               0
% 2.18/1.15  fd_cond                                 0
% 2.18/1.15  fd_pseudo_cond                          1
% 2.18/1.15  AC symbols                              0
% 2.18/1.15  
% 2.18/1.15  ------ Schedule dynamic 5 is on 
% 2.18/1.15  
% 2.18/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.18/1.15  
% 2.18/1.15  
% 2.18/1.15  ------ 
% 2.18/1.15  Current options:
% 2.18/1.15  ------ 
% 2.18/1.15  
% 2.18/1.15  
% 2.18/1.15  
% 2.18/1.15  
% 2.18/1.15  ------ Proving...
% 2.18/1.15  
% 2.18/1.15  
% 2.18/1.15  % SZS status Theorem for theBenchmark.p
% 2.18/1.15  
% 2.18/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.18/1.16  
% 2.18/1.16  
%------------------------------------------------------------------------------