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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.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 : Fri Sep 25 02:12:57 PM UTC 2026

% Result   : Theorem 2.58s 1.20s
% Output   : CNFRefutation 2.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  187 (  30 unt;   0 def)
%            Number of atoms       :  610 ( 105 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  722 ( 299   ~; 317   |;  82   &)
%                                         (   9 <=>;  14  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :  331 (   0 sgn 321   !;  10   ?; 165   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( X0 = X1
        | smaller(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( smaller(X0,X1)
    <=> greater(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

fof(f4,axiom,
    ! [X0,X1] :
      ~ ( greater(X1,X0)
        & greater(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( greater(X1,X2)
        & greater(X0,X1) )
     => greater(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).

fof(f7,axiom,
    ! [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) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( has_immunity(X0,X2)
        & has_immunity(X0,X1)
        & organization(X0) )
     => hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( ~ has_immunity(X0,X2)
        & has_immunity(X0,X1)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( age(X0,X1) = zero
        & organization(X0) )
     => is_aligned(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( ( ~ is_aligned(X0,X2)
        & is_aligned(X0,X1)
        & organization(X0) )
     => greater(capability(X0,X1),capability(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( ( age(X0,X1) = zero
        & organization(X0) )
     => ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).

fof(f14,axiom,
    ! [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)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16) ).

fof(f15,conjecture,
    ! [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)
        & age(X0,X1) = zero
        & has_endowment(X0)
        & organization(X0) )
     => ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
        & greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
        & greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

fof(f16,negated_conjecture,
    ~ ! [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)
          & age(X0,X1) = zero
          & has_endowment(X0)
          & organization(X0) )
       => ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          & greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
          & greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f17,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,[],[f7]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(flattening,[],[f19]) ).

fof(f21,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(ennf_transformation,[],[f17]) ).

fof(f22,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(ennf_transformation,[],[f8]) ).

fof(f23,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(flattening,[],[f22]) ).

fof(f24,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(ennf_transformation,[],[f9]) ).

fof(f25,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(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0)
      | greater(capability(X0,X1),capability(X0,X2)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0)
      | greater(capability(X0,X1),capability(X0,X2)) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(flattening,[],[f31]) ).

fof(f33,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(ennf_transformation,[],[f14]) ).

fof(f34,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(flattening,[],[f33]) ).

fof(f35,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)
      & age(X0,X1) = zero
      & 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(ennf_transformation,[],[f16]) ).

fof(f36,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)
      & age(X0,X1) = zero
      & 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(flattening,[],[f35]) ).

fof(f37,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(f38,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,[],[f37]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( ~ smaller(X0,X1)
        | greater(X1,X0) )
      & ( ~ greater(X1,X0)
        | smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( ~ dissimilar(X0,X1,X2)
        | ( ( is_aligned(X0,X1)
            | is_aligned(X0,X2) )
          & ( ~ is_aligned(X0,X1)
            | ~ is_aligned(X0,X2) )
          & organization(X0) ) )
      & ( ( ( ~ is_aligned(X0,X1)
            | is_aligned(X0,X2) )
          & ( ~ is_aligned(X0,X2)
            | is_aligned(X0,X1) ) )
        | ~ organization(X0)
        | dissimilar(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( ~ dissimilar(X0,X1,X2)
        | ( ( is_aligned(X0,X1)
            | is_aligned(X0,X2) )
          & ( ~ is_aligned(X0,X1)
            | ~ is_aligned(X0,X2) )
          & organization(X0) ) )
      & ( ( ( ~ is_aligned(X0,X1)
            | is_aligned(X0,X2) )
          & ( ~ is_aligned(X0,X2)
            | is_aligned(X0,X1) ) )
        | ~ organization(X0)
        | dissimilar(X0,X1,X2) ) ),
    inference(flattening,[],[f40]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( ( ~ greater(age(X0,X2),sigma)
          | dissimilar(X0,X1,X2) )
        & ( ~ dissimilar(X0,X1,X2)
          | greater(age(X0,X2),sigma) ) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f43,plain,
    ( greater(eta,zero)
    & greater(sigma,eta)
    & greater(age(sK0,sK4),sigma)
    & smaller_or_equal(age(sK0,sK3),sigma)
    & greater(age(sK0,sK3),eta)
    & smaller_or_equal(age(sK0,sK2),eta)
    & zero = age(sK0,sK1)
    & has_endowment(sK0)
    & organization(sK0)
    & ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
      | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
      | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f36]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ smaller_or_equal(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ has_endowment(X0)
      | ~ greater(age(X0,X1),eta)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ has_endowment(X0)
      | ~ smaller_or_equal(age(X0,X1),eta)
      | has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f55,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,[],[f23]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | organization(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ is_aligned(X0,X1)
      | is_aligned(X0,X2)
      | ~ organization(X0)
      | dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0)
      | greater(capability(X0,X1),capability(X0,X2)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ~ greater(age(X0,X2),sigma)
      | dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ~ dissimilar(X0,X1,X2)
      | greater(age(X0,X2),sigma) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ 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(cnf_transformation,[],[f34]) ).

fof(f67,plain,
    greater(eta,zero),
    inference(cnf_transformation,[],[f43]) ).

fof(f68,plain,
    greater(sigma,eta),
    inference(cnf_transformation,[],[f43]) ).

fof(f69,plain,
    greater(age(sK0,sK4),sigma),
    inference(cnf_transformation,[],[f43]) ).

fof(f70,plain,
    smaller_or_equal(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f43]) ).

fof(f71,plain,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f43]) ).

fof(f72,plain,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f43]) ).

fof(f73,plain,
    zero = age(sK0,sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f74,plain,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f43]) ).

fof(f75,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f43]) ).

fof(f76,plain,
    ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f77,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f45]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( smaller_or_equal(X0,X1)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_50,plain,
    ! [X0: $i] : smaller_or_equal(X0,X0),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X0,X1)
      | smaller(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | ~ has_endowment(X0)
      | ~ smaller_or_equal(age(X0,X1),eta) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( ~ has_endowment(X0)
      | ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) )
      | ~ organization(X0)
      | ~ has_immunity(X0,X2)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | dissimilar(X0,X1,X2)
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( organization(X0)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(X0,X1)
      | ~ organization(X0)
      | ( age(X0,X1) != zero ) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | greater(capability(X0,X1),capability(X0,X2))
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(age(X0,X2),sigma)
      | ~ organization(X0)
      | ~ dissimilar(X0,X1,X2)
      | ( age(X0,X1) != zero ) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( dissimilar(X0,X1,X2)
      | ~ organization(X0)
      | ~ greater(age(X0,X2),sigma)
      | ( age(X0,X1) != zero ) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ organization(X0)
      | ~ greater(capability(X0,X1),capability(X0,X2)) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_72,negated_conjecture,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
    | ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_73,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_74,negated_conjecture,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_75,negated_conjecture,
    age(sK0,sK1) = zero,
    inference(cnf_transformation,[],[f73]) ).

tcf(c_76,negated_conjecture,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_77,negated_conjecture,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_78,negated_conjecture,
    smaller_or_equal(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_79,negated_conjecture,
    greater(age(sK0,sK4),sigma),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_80,negated_conjecture,
    greater(sigma,eta),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_81,negated_conjecture,
    greater(eta,zero),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(age(X0,X2),sigma)
      | ( age(X0,X1) != zero )
      | ~ dissimilar(X0,X1,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_64,c_69]) ).

tcf(c_98,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(age(X0,X2),sigma)
      | ~ dissimilar(X0,X1,X2)
      | ( age(X0,X1) != zero ) ),
    inference(renaming,[status(thm)],[c_97]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | ~ greater(capability(X0,X1),capability(X0,X2))
      | ~ organization(X0)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_61,c_71]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ organization(X0)
      | ~ greater(capability(X0,X1),capability(X0,X2)) ),
    inference(renaming,[status(thm)],[c_100]) ).

tcf(c_271,plain,
    ! [X0: $i,X1: $i] :
      ( ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_74]) ).

tcf(c_272,plain,
    ! [X0: $i] :
      ( ~ has_immunity(sK0,X0)
      | ~ greater(age(sK0,X0),eta) ),
    inference(unflattening,[status(thm)],[c_271]) ).

tcf(c_280,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | ~ smaller_or_equal(age(X0,X1),eta)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_74]) ).

tcf(c_281,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ~ smaller_or_equal(age(sK0,X0),eta) ),
    inference(unflattening,[status(thm)],[c_280]) ).

tcf(c_307,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ( X1 != sigma )
      | ( age(sK0,sK3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_78]) ).

tcf(c_308,plain,
    ( smaller(age(sK0,sK3),sigma)
    | ( age(sK0,sK3) = sigma ) ),
    inference(unflattening,[status(thm)],[c_307]) ).

tcf(c_315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(sK0,X0)
      | ~ smaller(X1,X2)
      | ( X2 != eta )
      | ( age(sK0,X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_281]) ).

tcf(c_316,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ~ smaller(age(sK0,X0),eta) ),
    inference(unflattening,[status(thm)],[c_315]) ).

tcf(c_324,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(sK0,X0)
      | ( X1 != eta )
      | ( age(sK0,X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_281]) ).

tcf(c_325,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( age(sK0,X0) != eta ) ),
    inference(unflattening,[status(thm)],[c_324]) ).

tcf(c_333,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( eta != eta )
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_281]) ).

tcf(c_391,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ( age(sK0,sK3) = sigma )
      | ( X1 != sigma )
      | ( age(sK0,sK3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_308]) ).

tcf(c_392,plain,
    ( greater(sigma,age(sK0,sK3))
    | ( age(sK0,sK3) = sigma ) ),
    inference(unflattening,[status(thm)],[c_391]) ).

tcf(c_399,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(sK0,X0)
      | greater(X1,X2)
      | ( X1 = X2 )
      | ( X2 != eta )
      | ( age(sK0,X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_316]) ).

tcf(c_400,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | greater(age(sK0,X0),eta)
      | ( age(sK0,X0) = eta ) ),
    inference(unflattening,[status(thm)],[c_399]) ).

tcf(c_699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ organization(X0)
      | ~ is_aligned(X2,X5)
      | ~ is_aligned(X2,X3)
      | ~ greater(age(X0,X4),sigma)
      | ( X4 != X5 )
      | ( X1 != X3 )
      | ( X0 != X2 )
      | ( age(X0,X1) != zero ) ),
    inference(resolution_lifted,[status(thm)],[c_70,c_65]) ).

tcf(c_700,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ organization(X0)
      | ~ is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ greater(age(X0,X2),sigma)
      | ( age(X0,X1) != zero ) ),
    inference(unflattening,[status(thm)],[c_699]) ).

tcf(c_702,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ organization(X0)
      | ~ is_aligned(X0,X2)
      | ( age(X0,X1) != zero )
      | ~ greater(age(X0,X2),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_700,c_67,c_700]) ).

tcf(c_703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ organization(X0)
      | ~ is_aligned(X0,X2)
      | ~ greater(age(X0,X2),sigma)
      | ( age(X0,X1) != zero ) ),
    inference(renaming,[status(thm)],[c_702]) ).

tcf(c_718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( is_aligned(X2,X4)
      | greater(age(X0,X5),sigma)
      | ~ organization(X2)
      | ~ is_aligned(X2,X3)
      | ( X4 != X5 )
      | ( X1 != X3 )
      | ( X0 != X2 )
      | ( age(X0,X1) != zero ) ),
    inference(resolution_lifted,[status(thm)],[c_63,c_98]) ).

tcf(c_719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | greater(age(X0,X2),sigma)
      | ~ organization(X0)
      | ~ is_aligned(X0,X1)
      | ( age(X0,X1) != zero ) ),
    inference(unflattening,[status(thm)],[c_718]) ).

tcf(c_720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | greater(age(X0,X2),sigma)
      | ~ organization(X0)
      | ( age(X0,X1) != zero ) ),
    inference(global_subsumption_just,[status(thm)],[c_719,c_67,c_719]) ).

tcf(c_758,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | greater(age(X0,X2),sigma)
      | ( X0 != sK0 )
      | ( age(X0,X1) != zero ) ),
    inference(resolution_lifted,[status(thm)],[c_720,c_73]) ).

tcf(c_759,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(sK0,X1)
      | greater(age(sK0,X1),sigma)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_758]) ).

tcf(c_769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ is_aligned(X0,X2)
      | ~ greater(age(X0,X2),sigma)
      | ( X0 != sK0 )
      | ( age(X0,X1) != zero ) ),
    inference(resolution_lifted,[status(thm)],[c_703,c_73]) ).

tcf(c_770,plain,
    ! [X0: $i,X1: $i] :
      ( ~ is_aligned(sK0,X1)
      | ~ greater(age(sK0,X1),sigma)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_769]) ).

tcf(c_781,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ greater(capability(X0,X1),capability(X0,X2))
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_101,c_73]) ).

tcf(c_782,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(sK0,X1)
      | greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
      | ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
    inference(unflattening,[status(thm)],[c_781]) ).

tcf(c_792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | greater(capability(X0,X1),capability(X0,X2))
      | ~ is_aligned(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_73]) ).

tcf(c_793,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(sK0,X1)
      | greater(capability(sK0,X0),capability(sK0,X1))
      | ~ is_aligned(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_792]) ).

tcf(c_811,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ has_immunity(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_73]) ).

tcf(c_812,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(sK0,X1)
      | greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
      | ~ has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_811]) ).

tcf(c_822,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) )
      | ~ has_immunity(X0,X2)
      | ~ has_immunity(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_73]) ).

tcf(c_823,plain,
    ! [X0: $i,X1: $i] :
      ( ( hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,X1) )
      | ~ has_immunity(sK0,X1)
      | ~ has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_822]) ).

tcf(c_853,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(equality_resolution_simp,[status(thm)],[c_333]) ).

tcf(c_855,plain,
    ! [X0: $i] :
      ( ~ greater(age(sK0,X0),eta)
      | ~ has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_272]) ).

tcf(c_856,plain,
    ! [X0: $i] :
      ( ~ has_immunity(sK0,X0)
      | ~ greater(age(sK0,X0),eta) ),
    inference(renaming,[status(thm)],[c_855]) ).

tcf(c_857,plain,
    ! [X0: $i] :
      ( greater(age(sK0,X0),eta)
      | has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_325,c_400]) ).

tcf(c_858,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | greater(age(sK0,X0),eta) ),
    inference(renaming,[status(thm)],[c_857]) ).

tcf(c_865,plain,
    ! [X0: $i] :
      ( ( age(sK0,X0) != age(sK0,sK2) )
      | has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_853]) ).

tcf(c_866,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(renaming,[status(thm)],[c_865]) ).

tcf(c_871,plain,
    ( greater(sigma,age(sK0,sK3))
    | ( age(sK0,sK3) = sigma ) ),
    inference(prop_impl_just,[status(thm)],[c_392]) ).

tcf(c_1045,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ greater(age(sK0,X0),sigma)
      | ~ is_aligned(sK0,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_770]) ).

tcf(c_1046,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( age(sK0,X0) != zero ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_770]) ).

tcf(c_1047,plain,
    ( iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_770]) ).

tcf(c_1048,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | greater(age(sK0,X0),sigma)
      | is_aligned(sK0,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_759]) ).

tcf(c_1049,plain,
    ( iPr_def_12
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_759]) ).

tcf(c_1050,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_1054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( has_immunity(X0,X2)
      | ~ has_immunity(X1,X2)
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1624,plain,
    ~ greater(zero,eta),
    inference(resolution,[status(thm)],[c_54,c_81]) ).

tcf(c_1663,plain,
    ~ iPr_def_11,
    inference(resolution,[status(thm)],[c_1046,c_75]) ).

tcf(c_1665,plain,
    iPr_def_10,
    inference(resolution,[status(thm)],[c_1663,c_1047]) ).

tcf(c_1699,plain,
    age(sK0,sK2) = age(sK0,sK2),
    inference(instantiation,[status(thm)],[c_1050]) ).

tcf(c_1700,plain,
    ( has_immunity(sK0,sK2)
    | ( age(sK0,sK2) != age(sK0,sK2) ) ),
    inference(instantiation,[status(thm)],[c_866]) ).

tcf(c_1742,plain,
    ! [X0: $i] :
      ( greater(X0,eta)
      | ~ greater(sigma,eta)
      | ~ greater(X0,sigma) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_1809,plain,
    ! [X0: $i,X1: $i] :
      ( greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
      | ~ greater(age(sK0,X1),eta)
      | ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
    inference(resolution,[status(thm)],[c_782,c_856]) ).

tcf(c_1834,plain,
    ! [X0: $i] :
      ( ~ is_aligned(sK0,X0)
      | ~ greater(age(sK0,X0),sigma) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1045,c_1665]) ).

tcf(c_1840,plain,
    ! [X0: $i,X1: $i] :
      ( greater(capability(sK0,X1),capability(sK0,X0))
      | ~ is_aligned(sK0,X1)
      | ~ greater(age(sK0,X0),sigma) ),
    inference(resolution,[status(thm)],[c_1834,c_793]) ).

tcf(c_1864,plain,
    ( ~ has_immunity(sK0,sK1)
    | ~ has_immunity(sK0,sK2)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
    inference(resolution,[status(thm)],[c_823,c_72]) ).

tcf(c_1865,plain,
    ( ~ has_immunity(sK0,sK1)
    | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    inference(global_subsumption_just,[status(thm)],[c_1864,c_1699,c_1700,c_1864]) ).

tcf(c_1866,plain,
    ( ~ has_immunity(sK0,sK1)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
    inference(renaming,[status(thm)],[c_1865]) ).

tcf(c_1892,plain,
    ( greater(age(sK0,sK4),eta)
    | ~ greater(sigma,eta)
    | ~ greater(age(sK0,sK4),sigma) ),
    inference(instantiation,[status(thm)],[c_1742]) ).

tcf(c_2094,plain,
    ( has_immunity(sK0,sK1)
    | greater(zero,eta) ),
    inference(superposition,[status(thm)],[c_75,c_858]) ).

tcf(c_2129,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | greater(age(sK0,X0),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_1048,c_1048,c_1049,c_1663]) ).

tcf(c_2132,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ~ greater(sigma,age(sK0,X0)) ),
    inference(superposition,[status(thm)],[c_2129,c_54]) ).

tcf(c_2139,plain,
    ( ~ has_immunity(sK0,sK3)
    | ~ greater(age(sK0,sK3),eta) ),
    inference(instantiation,[status(thm)],[c_856]) ).

tcf(c_2146,plain,
    ( is_aligned(sK0,sK3)
    | ( age(sK0,sK3) = sigma ) ),
    inference(superposition,[status(thm)],[c_871,c_2132]) ).

tcf(c_2226,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,sK3)
      | greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0))
      | ~ has_immunity(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_812]) ).

tcf(c_2606,plain,
    ! [X0: $i] :
      ( ~ greater(sigma,X0)
      | ~ greater(X0,sigma) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_2995,plain,
    ( has_immunity(sK0,sK3)
    | greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ~ has_immunity(sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_2226]) ).

tcf(c_3081,plain,
    ! [X0: $i] :
      ( greater(sigma,X0)
      | ( age(sK0,sK3) = sigma )
      | ~ greater(age(sK0,sK3),X0) ),
    inference(superposition,[status(thm)],[c_871,c_55]) ).

tcf(c_3118,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | greater(age(sK0,X0),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_1048,c_1048,c_1049,c_1663]) ).

tcf(c_3125,plain,
    ( is_aligned(sK0,sK3)
    | greater(sigma,sigma)
    | ( age(sK0,sK3) = sigma ) ),
    inference(superposition,[status(thm)],[c_3118,c_3081]) ).

tcf(c_3286,plain,
    ! [X0: $i] :
      ( ~ has_immunity(X0,sK1)
      | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
      | ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
      | ( sK0 != X0 ) ),
    inference(resolution,[status(thm)],[c_1866,c_1054]) ).

tcf(c_3287,plain,
    ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)),
    inference(global_subsumption_just,[status(thm)],[c_3286,c_77,c_1624,c_1699,c_1700,c_1864,c_2094,c_2139,c_2995]) ).

tcf(c_3292,plain,
    ( ~ greater(age(sK0,sK4),eta)
    | ~ greater(capability(sK0,sK3),capability(sK0,sK4)) ),
    inference(resolution,[status(thm)],[c_3287,c_1809]) ).

tcf(c_3293,plain,
    ~ greater(capability(sK0,sK3),capability(sK0,sK4)),
    inference(global_subsumption_just,[status(thm)],[c_3292,c_80,c_79,c_1892,c_3292]) ).

tcf(c_3301,plain,
    ( ~ is_aligned(sK0,sK3)
    | ~ greater(age(sK0,sK4),sigma) ),
    inference(resolution,[status(thm)],[c_3293,c_1840]) ).

tcf(c_3521,plain,
    ~ greater(sigma,sigma),
    inference(instantiation,[status(thm)],[c_2606]) ).

tcf(c_4248,plain,
    age(sK0,sK3) = sigma,
    inference(global_subsumption_just,[status(thm)],[c_3125,c_79,c_2146,c_3301]) ).

tcf(c_4265,plain,
    ( is_aligned(sK0,sK3)
    | greater(sigma,sigma) ),
    inference(superposition,[status(thm)],[c_4248,c_3118]) ).

tcf(c_4268,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4265,c_3521,c_3301,c_79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n003.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Thu Sep 24 01:16:50 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 2.58/1.20  % SZS status Started for theBenchmark.p
% 2.58/1.20  % SZS status Theorem for theBenchmark.p
% 2.58/1.20  
% 2.58/1.20  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.58/1.20  
% 2.58/1.20  % ------  iProver source info
% 2.58/1.20  
% 2.58/1.20  % git: date: 2026-07-19 20:42:38 +0200
% 2.58/1.20  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.58/1.20  % git: non_committed_changes: false
% 2.58/1.20  
% 2.58/1.20  % ------ Parsing...
% 2.58/1.20  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.58/1.20  
% 2.58/1.20  % ------ 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 % 
% 2.58/1.20  
% 2.58/1.20  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.58/1.20  
% 2.58/1.20  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.58/1.20  % ------ Proving...
% 2.58/1.20  % ------ Problem Properties 
% 2.58/1.20  
% 2.58/1.20  % 
% 2.58/1.20  % clauses                               27
% 2.58/1.20  % conjectures                           6
% 2.58/1.20  % EPR                                   7
% 2.58/1.20  % Horn                                  17
% 2.58/1.20  % unary                                 5
% 2.58/1.20  % binary                                12
% 2.58/1.20  % lits                                  59
% 2.58/1.20  % lits eq                               12
% 2.58/1.20  % fd_pure                               0
% 2.58/1.20  % fd_pseudo                             0
% 2.58/1.20  % fd_cond                               0
% 2.58/1.20  % fd_pseudo_cond                        1
% 2.58/1.20  % AC symbols                            0
% 2.58/1.20  
% 2.58/1.20  % ------ Input Options Time Limit: Unbounded
% 2.58/1.20  
% 2.58/1.20  
% 2.58/1.20  % ------ 
% 2.58/1.20  % Current options:
% 2.58/1.20  % ------ 
% 2.58/1.20  
% 2.58/1.20  
% 2.58/1.20  % 
% 2.58/1.20  
% 2.58/1.20  % ------ Proving...
% 2.58/1.20  % 
% 2.58/1.20  
% 2.58/1.20  % SZS status Theorem for theBenchmark.p
% 2.58/1.20  
% 2.58/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.06/1.20  
% 2.06/1.20  
%------------------------------------------------------------------------------