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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT065+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 : n011.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 02:13:00 PM UTC 2026

% Result   : Theorem 5.30s 1.75s
% Output   : CNFRefutation 5.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  208 (  43 unt;   0 def)
%            Number of atoms       :  722 ( 191 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  834 ( 320   ~; 370   |; 116   &)
%                                         (   9 <=>;  18  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   19 (   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  :   16 (  14 usr;   4 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :  302 (   0 sgn 294   !;   8   ?; 168   :)

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

fof(f9,axiom,
    ! [X0,X1] :
      ( ( age(X0,X1) = zero
        & organization(X0) )
     => is_aligned(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).

fof(f10,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(f11,axiom,
    ! [X0,X1] :
      ( organization(X0)
     => ( ( ~ has_immunity(X0,X1)
         => ( ( ( ~ positional_advantage(X0,X1)
                & ~ is_aligned(X0,X1) )
             => hazard_of_mortality(X0,X1) = high )
            & ( ( ~ positional_advantage(X0,X1)
                & is_aligned(X0,X1) )
             => hazard_of_mortality(X0,X1) = mod2 )
            & ( ( positional_advantage(X0,X1)
                & ~ is_aligned(X0,X1) )
             => hazard_of_mortality(X0,X1) = mod1 )
            & ( ( positional_advantage(X0,X1)
                & is_aligned(X0,X1) )
             => hazard_of_mortality(X0,X1) = low ) ) )
        & ( has_immunity(X0,X1)
         => hazard_of_mortality(X0,X1) = very_low ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).

fof(f12,axiom,
    greater(high,mod1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).

fof(f13,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).

fof(f14,axiom,
    greater(low,very_low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).

fof(f17,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( greater(age(X0,X3),eta)
        & greater(age(X0,X3),tau)
        & greater(age(X0,X3),sigma)
        & smaller_or_equal(age(X0,X2),eta)
        & smaller_or_equal(age(X0,X2),tau)
        & smaller_or_equal(age(X0,X2),sigma)
        & greater(eta,zero)
        & greater(tau,zero)
        & greater(sigma,zero)
        & age(X0,X1) = zero
        & has_endowment(X0)
        & ( fragile_position(X0)
          | robust_position(X0) )
        & organization(X0) )
     => ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
        & greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( greater(age(X0,X3),eta)
          & greater(age(X0,X3),tau)
          & greater(age(X0,X3),sigma)
          & smaller_or_equal(age(X0,X2),eta)
          & smaller_or_equal(age(X0,X2),tau)
          & smaller_or_equal(age(X0,X2),sigma)
          & greater(eta,zero)
          & greater(tau,zero)
          & greater(sigma,zero)
          & age(X0,X1) = zero
          & has_endowment(X0)
          & ( fragile_position(X0)
            | robust_position(X0) )
          & organization(X0) )
       => ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          & greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

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(unused_predicate_definition_removal,[],[f7]) ).

fof(f20,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( greater(age(X0,X3),eta)
          & greater(age(X0,X3),tau)
          & greater(age(X0,X3),sigma)
          & smaller_or_equal(age(X0,X2),eta)
          & smaller_or_equal(age(X0,X2),tau)
          & smaller_or_equal(age(X0,X2),sigma)
          & greater(eta,zero)
          & greater(tau,zero)
          & greater(sigma,zero)
          & 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)) ) ),
    inference(pure_predicate_removal,[],[f18]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(flattening,[],[f22]) ).

fof(f24,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,[],[f19]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(flattening,[],[f28]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | ( ( has_immunity(X0,X1)
          | ( ( positional_advantage(X0,X1)
              | is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = high )
            & ( positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = mod2 )
            & ( ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = mod1 )
            & ( ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = low ) ) )
        & ( ~ has_immunity(X0,X1)
          | hazard_of_mortality(X0,X1) = very_low ) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | ( ( has_immunity(X0,X1)
          | ( ( positional_advantage(X0,X1)
              | is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = high )
            & ( positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = mod2 )
            & ( ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = mod1 )
            & ( ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1)
              | hazard_of_mortality(X0,X1) = low ) ) )
        & ( ~ has_immunity(X0,X1)
          | hazard_of_mortality(X0,X1) = very_low ) ) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ? [X0,X1,X2,X3] :
      ( greater(age(X0,X3),eta)
      & greater(age(X0,X3),tau)
      & greater(age(X0,X3),sigma)
      & smaller_or_equal(age(X0,X2),eta)
      & smaller_or_equal(age(X0,X2),tau)
      & smaller_or_equal(age(X0,X2),sigma)
      & greater(eta,zero)
      & greater(tau,zero)
      & greater(sigma,zero)
      & 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)) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f33,plain,
    ? [X0,X1,X2,X3] :
      ( greater(age(X0,X3),eta)
      & greater(age(X0,X3),tau)
      & greater(age(X0,X3),sigma)
      & smaller_or_equal(age(X0,X2),eta)
      & smaller_or_equal(age(X0,X2),tau)
      & smaller_or_equal(age(X0,X2),sigma)
      & greater(eta,zero)
      & greater(tau,zero)
      & greater(sigma,zero)
      & 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)) ) ),
    inference(flattening,[],[f32]) ).

fof(f34,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(f35,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,[],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( ~ smaller(X0,X1)
        | greater(X1,X0) )
      & ( ~ greater(X1,X0)
        | smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f37,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,[],[f25]) ).

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

fof(f39,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,[],[f29]) ).

fof(f40,plain,
    ( greater(age(sK0,sK3),eta)
    & greater(age(sK0,sK3),tau)
    & greater(age(sK0,sK3),sigma)
    & smaller_or_equal(age(sK0,sK2),eta)
    & smaller_or_equal(age(sK0,sK2),tau)
    & smaller_or_equal(age(sK0,sK2),sigma)
    & greater(eta,zero)
    & greater(tau,zero)
    & greater(sigma,zero)
    & 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)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f33]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ smaller_or_equal(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ has_endowment(X0)
      | ~ greater(age(X0,X1),eta)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ has_endowment(X0)
      | ~ smaller_or_equal(age(X0,X1),eta)
      | has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | organization(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ is_aligned(X0,X1)
      | is_aligned(X0,X2)
      | ~ organization(X0)
      | dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ~ greater(age(X0,X2),sigma)
      | dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ~ dissimilar(X0,X1,X2)
      | greater(age(X0,X2),sigma) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | positional_advantage(X0,X1)
      | is_aligned(X0,X1)
      | hazard_of_mortality(X0,X1) = high ),
    inference(cnf_transformation,[],[f31]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | positional_advantage(X0,X1)
      | ~ is_aligned(X0,X1)
      | hazard_of_mortality(X0,X1) = mod2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | ~ positional_advantage(X0,X1)
      | is_aligned(X0,X1)
      | hazard_of_mortality(X0,X1) = mod1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | ~ positional_advantage(X0,X1)
      | ~ is_aligned(X0,X1)
      | hazard_of_mortality(X0,X1) = low ),
    inference(cnf_transformation,[],[f31]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | ~ has_immunity(X0,X1)
      | hazard_of_mortality(X0,X1) = very_low ),
    inference(cnf_transformation,[],[f31]) ).

fof(f65,plain,
    greater(high,mod1),
    inference(cnf_transformation,[],[f12]) ).

fof(f66,plain,
    greater(mod1,low),
    inference(cnf_transformation,[],[f13]) ).

fof(f67,plain,
    greater(low,very_low),
    inference(cnf_transformation,[],[f14]) ).

fof(f70,plain,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f40]) ).

fof(f72,plain,
    greater(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f40]) ).

fof(f73,plain,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f40]) ).

fof(f75,plain,
    smaller_or_equal(age(sK0,sK2),sigma),
    inference(cnf_transformation,[],[f40]) ).

fof(f76,plain,
    greater(eta,zero),
    inference(cnf_transformation,[],[f40]) ).

fof(f79,plain,
    zero = age(sK0,sK1),
    inference(cnf_transformation,[],[f40]) ).

fof(f80,plain,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f40]) ).

fof(f81,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f40]) ).

fof(f82,plain,
    ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f83,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f42]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( smaller_or_equal(X0,X1)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_50,plain,
    ! [X0: $i] : smaller_or_equal(X0,X0),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X0,X1)
      | smaller(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f48]) ).

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,[],[f50]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( ~ has_endowment(X0)
      | ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | dissimilar(X0,X1,X2)
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( organization(X0)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(X0,X1)
      | ~ organization(X0)
      | ( age(X0,X1) != zero ) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_66,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,[],[f59]) ).

tcf(c_67,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,[],[f58]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( ( hazard_of_mortality(X0,X1) = very_low )
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = low )
      | ~ organization(X0)
      | ~ positional_advantage(X0,X1)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(X0,X1)
      | has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod1 )
      | ~ organization(X0)
      | ~ positional_advantage(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( positional_advantage(X0,X1)
      | has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod2 )
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( positional_advantage(X0,X1)
      | is_aligned(X0,X1)
      | has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = high )
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_73,plain,
    greater(high,mod1),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_74,plain,
    greater(mod1,low),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_75,plain,
    greater(low,very_low),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_78,negated_conjecture,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_79,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_80,negated_conjecture,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_81,negated_conjecture,
    age(sK0,sK1) = zero,
    inference(cnf_transformation,[],[f79]) ).

tcf(c_84,negated_conjecture,
    greater(eta,zero),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_85,negated_conjecture,
    smaller_or_equal(age(sK0,sK2),sigma),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_87,negated_conjecture,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_88,negated_conjecture,
    greater(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_90,negated_conjecture,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_109,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_66,c_62,c_66]) ).

tcf(c_110,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_109]) ).

tcf(c_309,plain,
    ! [X0: $i,X1: $i] :
      ( ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_80]) ).

tcf(c_310,plain,
    ! [X0: $i] :
      ( ~ has_immunity(sK0,X0)
      | ~ greater(age(sK0,X0),eta) ),
    inference(unflattening,[status(thm)],[c_309]) ).

tcf(c_318,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_80]) ).

tcf(c_319,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ~ smaller_or_equal(age(sK0,X0),eta) ),
    inference(unflattening,[status(thm)],[c_318]) ).

tcf(c_394,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ( X1 != sigma )
      | ( age(sK0,sK2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_85]) ).

tcf(c_395,plain,
    ( smaller(age(sK0,sK2),sigma)
    | ( age(sK0,sK2) = sigma ) ),
    inference(unflattening,[status(thm)],[c_394]) ).

tcf(c_410,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ( X1 != eta )
      | ( age(sK0,sK2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_87]) ).

tcf(c_411,plain,
    ( smaller(age(sK0,sK2),eta)
    | ( age(sK0,sK2) = eta ) ),
    inference(unflattening,[status(thm)],[c_410]) ).

tcf(c_418,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_319]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ~ smaller(age(sK0,X0),eta) ),
    inference(unflattening,[status(thm)],[c_418]) ).

tcf(c_427,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(sK0,X0)
      | ( X1 != eta )
      | ( age(sK0,X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_319]) ).

tcf(c_428,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( age(sK0,X0) != eta ) ),
    inference(unflattening,[status(thm)],[c_427]) ).

tcf(c_458,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( eta != eta )
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(resolution_lifted,[status(thm)],[c_87,c_319]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ( age(sK0,sK2) = sigma )
      | ( X1 != sigma )
      | ( age(sK0,sK2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_395]) ).

tcf(c_502,plain,
    ( greater(sigma,age(sK0,sK2))
    | ( age(sK0,sK2) = sigma ) ),
    inference(unflattening,[status(thm)],[c_501]) ).

tcf(c_517,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ( age(sK0,sK2) = eta )
      | ( X1 != eta )
      | ( age(sK0,sK2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_411]) ).

tcf(c_518,plain,
    ( greater(eta,age(sK0,sK2))
    | ( age(sK0,sK2) = eta ) ),
    inference(unflattening,[status(thm)],[c_517]) ).

tcf(c_525,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_419]) ).

tcf(c_526,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | greater(age(sK0,X0),eta)
      | ( age(sK0,X0) = eta ) ),
    inference(unflattening,[status(thm)],[c_525]) ).

tcf(c_571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_aligned(X1,X3)
      | is_aligned(X0,X2)
      | has_immunity(X1,X3)
      | has_immunity(X0,X2)
      | ( hazard_of_mortality(X1,X3) = mod1 )
      | ( hazard_of_mortality(X0,X2) = high )
      | ~ organization(X1)
      | ~ organization(X0)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_72,c_70]) ).

tcf(c_572,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(X0,X1)
      | has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = high )
      | ( hazard_of_mortality(X0,X1) = mod1 )
      | ~ organization(X0) ),
    inference(unflattening,[status(thm)],[c_571]) ).

tcf(c_593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( has_immunity(X1,X3)
      | has_immunity(X0,X2)
      | ( hazard_of_mortality(X1,X3) = low )
      | ( hazard_of_mortality(X0,X2) = mod2 )
      | ~ organization(X1)
      | ~ organization(X0)
      | ~ is_aligned(X1,X3)
      | ~ is_aligned(X0,X2)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_71,c_69]) ).

tcf(c_594,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod2 )
      | ( hazard_of_mortality(X0,X1) = low )
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(unflattening,[status(thm)],[c_593]) ).

tcf(c_750,plain,
    ! [X0: $i,X1: $i] :
      ( ( hazard_of_mortality(X0,X1) = very_low )
      | ~ has_immunity(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_79]) ).

tcf(c_751,plain,
    ! [X0: $i] :
      ( ( hazard_of_mortality(sK0,X0) = very_low )
      | ~ has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_750]) ).

tcf(c_857,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_67,c_63]) ).

tcf(c_858,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_857]) ).

tcf(c_860,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_858,c_65,c_858]) ).

tcf(c_861,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_860]) ).

tcf(c_876,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_61,c_110]) ).

tcf(c_877,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_876]) ).

tcf(c_878,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_877,c_65,c_877]) ).

tcf(c_916,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_878,c_79]) ).

tcf(c_917,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(sK0,X1)
      | greater(age(sK0,X1),sigma)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_916]) ).

tcf(c_927,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_861,c_79]) ).

tcf(c_928,plain,
    ! [X0: $i,X1: $i] :
      ( ~ is_aligned(sK0,X1)
      | ~ greater(age(sK0,X1),sigma)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_927]) ).

tcf(c_939,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod2 )
      | ( hazard_of_mortality(X0,X1) = low )
      | ~ is_aligned(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_594,c_79]) ).

tcf(c_940,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod2 )
      | ( hazard_of_mortality(sK0,X0) = low )
      | ~ is_aligned(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_939]) ).

tcf(c_953,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(X0,X1)
      | has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = high )
      | ( hazard_of_mortality(X0,X1) = mod1 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_572,c_79]) ).

tcf(c_954,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | has_immunity(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = high )
      | ( hazard_of_mortality(sK0,X0) = mod1 ) ),
    inference(unflattening,[status(thm)],[c_953]) ).

tcf(c_1270,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(equality_resolution_simp,[status(thm)],[c_458]) ).

tcf(c_1724,plain,
    ! [X0: $i] :
      ( ~ greater(age(sK0,X0),eta)
      | ~ has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_310]) ).

tcf(c_1725,plain,
    ! [X0: $i] :
      ( ~ has_immunity(sK0,X0)
      | ~ greater(age(sK0,X0),eta) ),
    inference(renaming,[status(thm)],[c_1724]) ).

tcf(c_1726,plain,
    ! [X0: $i] :
      ( greater(age(sK0,X0),eta)
      | has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_428,c_526]) ).

tcf(c_1727,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | greater(age(sK0,X0),eta) ),
    inference(renaming,[status(thm)],[c_1726]) ).

tcf(c_1736,plain,
    ! [X0: $i] :
      ( ( hazard_of_mortality(sK0,X0) = very_low )
      | ~ has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_751]) ).

tcf(c_1740,plain,
    ! [X0: $i] :
      ( ( age(sK0,X0) != age(sK0,sK2) )
      | has_immunity(sK0,X0) ),
    inference(prop_impl_just,[status(thm)],[c_1270]) ).

tcf(c_1741,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(renaming,[status(thm)],[c_1740]) ).

tcf(c_1744,plain,
    ( greater(sigma,age(sK0,sK2))
    | ( age(sK0,sK2) = sigma ) ),
    inference(prop_impl_just,[status(thm)],[c_502]) ).

tcf(c_1748,plain,
    ( greater(eta,age(sK0,sK2))
    | ( age(sK0,sK2) = eta ) ),
    inference(prop_impl_just,[status(thm)],[c_518]) ).

tcf(c_2172,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_928]) ).

tcf(c_2173,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( age(sK0,X0) != zero ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_928]) ).

tcf(c_2174,plain,
    ( iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_928]) ).

tcf(c_2175,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_917]) ).

tcf(c_2176,plain,
    ( iPr_def_12
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_917]) ).

tcf(c_2177,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_2179,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( greater(X0,X2)
      | ~ greater(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2786,plain,
    ~ greater(zero,eta),
    inference(resolution,[status(thm)],[c_54,c_84]) ).

tcf(c_2834,plain,
    ~ iPr_def_11,
    inference(resolution,[status(thm)],[c_2173,c_81]) ).

tcf(c_2835,plain,
    ( ~ iPr_def_10
    | ~ is_aligned(sK0,sK3)
    | ~ greater(age(sK0,sK3),sigma) ),
    inference(instantiation,[status(thm)],[c_2172]) ).

tcf(c_2841,plain,
    ! [X0: $i] :
      ( ~ greater(age(sK0,X0),eta)
      | ( age(sK0,X0) != age(sK0,sK2) ) ),
    inference(resolution,[status(thm)],[c_1741,c_1725]) ).

tcf(c_2853,plain,
    ( ~ has_immunity(sK0,sK3)
    | ~ greater(age(sK0,sK3),eta) ),
    inference(instantiation,[status(thm)],[c_1725]) ).

tcf(c_2859,plain,
    ~ greater(age(sK0,sK2),eta),
    inference(resolution,[status(thm)],[c_2841,c_2177]) ).

tcf(c_2931,plain,
    ! [X0: $i] :
      ( greater(X0,very_low)
      | ~ greater(low,very_low)
      | ~ greater(X0,low) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_2996,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X0,X1)
      | ~ greater(high,mod1)
      | ( X1 != mod1 )
      | ( X0 != high ) ),
    inference(instantiation,[status(thm)],[c_2180]) ).

tcf(c_2998,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X0,X1)
      | ~ greater(mod1,low)
      | ( X1 != low )
      | ( X0 != mod1 ) ),
    inference(instantiation,[status(thm)],[c_2180]) ).

tcf(c_3045,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | greater(age(sK0,X0),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_2175,c_2175,c_2176,c_2834]) ).

tcf(c_3049,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ~ greater(sigma,age(sK0,X0)) ),
    inference(superposition,[status(thm)],[c_3045,c_54]) ).

tcf(c_3115,plain,
    ( is_aligned(sK0,sK3)
    | has_immunity(sK0,sK3)
    | ( hazard_of_mortality(sK0,sK3) = high )
    | ( hazard_of_mortality(sK0,sK3) = mod1 ) ),
    inference(instantiation,[status(thm)],[c_954]) ).

tcf(c_3126,plain,
    ! [X0: $i] :
      ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
      | ( hazard_of_mortality(sK0,sK1) != X0 )
      | ( hazard_of_mortality(sK0,sK2) != X0 ) ),
    inference(resolution,[status(thm)],[c_2179,c_78]) ).

tcf(c_3434,plain,
    ( greater(mod1,very_low)
    | ~ greater(mod1,low)
    | ~ greater(low,very_low) ),
    inference(instantiation,[status(thm)],[c_2931]) ).

tcf(c_3443,plain,
    ! [X0: $i] :
      ( greater(X0,mod1)
      | ~ greater(high,mod1)
      | ( mod1 != mod1 )
      | ( X0 != high ) ),
    inference(instantiation,[status(thm)],[c_2996]) ).

tcf(c_3444,plain,
    mod1 = mod1,
    inference(instantiation,[status(thm)],[c_2177]) ).

tcf(c_3471,plain,
    ! [X0: $i] :
      ( greater(X0,low)
      | ~ greater(mod1,low)
      | ( low != low )
      | ( X0 != mod1 ) ),
    inference(instantiation,[status(thm)],[c_2998]) ).

tcf(c_3472,plain,
    low = low,
    inference(instantiation,[status(thm)],[c_2177]) ).

tcf(c_4053,plain,
    ! [X0: $i] :
      ( greater(X0,very_low)
      | ~ greater(mod1,very_low)
      | ~ greater(X0,mod1) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_4139,plain,
    ( greater(hazard_of_mortality(sK0,sK3),low)
    | ~ greater(mod1,low)
    | ( low != low )
    | ( hazard_of_mortality(sK0,sK3) != mod1 ) ),
    inference(instantiation,[status(thm)],[c_3471]) ).

tcf(c_4384,plain,
    ! [X0: $i] :
      ( ~ is_aligned(sK0,X0)
      | ~ greater(age(sK0,X0),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_2172,c_2172,c_2174,c_2834]) ).

tcf(c_4386,plain,
    ~ is_aligned(sK0,sK3),
    inference(superposition,[status(thm)],[c_88,c_4384]) ).

tcf(c_4392,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = high )
      | ( hazard_of_mortality(sK0,X0) = mod1 )
      | ( hazard_of_mortality(sK0,X0) = very_low ) ),
    inference(superposition,[status(thm)],[c_954,c_1736]) ).

tcf(c_4397,plain,
    ( ( age(sK0,sK2) = eta )
    | ~ greater(age(sK0,sK2),eta) ),
    inference(superposition,[status(thm)],[c_1748,c_54]) ).

tcf(c_4399,plain,
    ~ greater(age(sK0,sK2),eta),
    inference(global_subsumption_just,[status(thm)],[c_4397,c_2859]) ).

tcf(c_4402,plain,
    ( ( hazard_of_mortality(sK0,sK3) = high )
    | ( hazard_of_mortality(sK0,sK3) = mod1 )
    | ( hazard_of_mortality(sK0,sK3) = very_low ) ),
    inference(superposition,[status(thm)],[c_4392,c_4386]) ).

tcf(c_4649,plain,
    ( ( hazard_of_mortality(sK0,sK3) = high )
    | ( hazard_of_mortality(sK0,sK3) = mod1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_4402,c_90,c_88,c_2174,c_2834,c_2835,c_2853,c_3115]) ).

tcf(c_4894,plain,
    ( greater(hazard_of_mortality(sK0,sK3),mod1)
    | ~ greater(high,mod1)
    | ( mod1 != mod1 )
    | ( hazard_of_mortality(sK0,sK3) != high ) ),
    inference(instantiation,[status(thm)],[c_3443]) ).

tcf(c_5061,plain,
    ( has_immunity(sK0,sK1)
    | greater(zero,eta) ),
    inference(superposition,[status(thm)],[c_81,c_1727]) ).

tcf(c_5067,plain,
    has_immunity(sK0,sK2),
    inference(superposition,[status(thm)],[c_1727,c_4399]) ).

tcf(c_5158,plain,
    has_immunity(sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_5061,c_2786,c_5061]) ).

tcf(c_5160,plain,
    hazard_of_mortality(sK0,sK1) = very_low,
    inference(superposition,[status(thm)],[c_5158,c_1736]) ).

tcf(c_5167,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ( hazard_of_mortality(sK0,sK2) != very_low ) ),
    inference(superposition,[status(thm)],[c_5160,c_78]) ).

tcf(c_5496,plain,
    ( ~ has_immunity(sK0,sK1)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ( hazard_of_mortality(sK0,sK2) != very_low ) ),
    inference(resolution,[status(thm)],[c_3126,c_1736]) ).

tcf(c_5497,plain,
    ( ( hazard_of_mortality(sK0,sK2) != very_low )
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    inference(global_subsumption_just,[status(thm)],[c_5496,c_5167]) ).

tcf(c_5498,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | ( hazard_of_mortality(sK0,sK2) != very_low ) ),
    inference(renaming,[status(thm)],[c_5497]) ).

tcf(c_5533,plain,
    ( ~ has_immunity(sK0,sK2)
    | ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    inference(resolution,[status(thm)],[c_5498,c_1736]) ).

tcf(c_6635,plain,
    ( greater(hazard_of_mortality(sK0,sK3),very_low)
    | ~ greater(low,very_low)
    | ~ greater(hazard_of_mortality(sK0,sK3),low) ),
    inference(instantiation,[status(thm)],[c_2931]) ).

tcf(c_6655,plain,
    ( greater(hazard_of_mortality(sK0,sK3),very_low)
    | ~ greater(mod1,very_low)
    | ~ greater(hazard_of_mortality(sK0,sK3),mod1) ),
    inference(instantiation,[status(thm)],[c_4053]) ).

tcf(c_6668,negated_conjecture,
    ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
    inference(global_subsumption_just,[status(thm)],[c_78,c_5067,c_5533]) ).

tcf(c_6725,plain,
    ( is_aligned(sK0,sK2)
    | ( age(sK0,sK2) = sigma ) ),
    inference(superposition,[status(thm)],[c_1744,c_3049]) ).

tcf(c_6768,plain,
    ( has_immunity(sK0,sK2)
    | ( hazard_of_mortality(sK0,sK2) = mod2 )
    | ( hazard_of_mortality(sK0,sK2) = low )
    | ( age(sK0,sK2) = sigma ) ),
    inference(superposition,[status(thm)],[c_6725,c_940]) ).

tcf(c_6834,plain,
    has_immunity(sK0,sK2),
    inference(global_subsumption_just,[status(thm)],[c_6768,c_5067]) ).

tcf(c_6836,plain,
    hazard_of_mortality(sK0,sK2) = very_low,
    inference(superposition,[status(thm)],[c_6834,c_1736]) ).

tcf(c_6847,plain,
    ~ greater(hazard_of_mortality(sK0,sK3),very_low),
    inference(superposition,[status(thm)],[c_6836,c_6668]) ).

tcf(c_6848,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6847,c_6655,c_6635,c_4894,c_4649,c_4139,c_3472,c_3444,c_3434,c_73,c_74,c_75]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.37  % Computer : n011.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Thu Sep 24 01:18:28 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  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
% 0.13/0.42  
% 0.13/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42  
% 0.13/0.42  % Detected problem language: tptp
% 0.13/0.44  % Proving...
% 5.30/1.75  % SZS status Started for theBenchmark.p
% 5.30/1.75  % SZS status Theorem for theBenchmark.p
% 5.30/1.75  
% 5.30/1.75  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.30/1.75  
% 5.30/1.75  % ------  iProver source info
% 5.30/1.75  
% 5.30/1.75  % git: date: 2026-07-19 20:42:38 +0200
% 5.30/1.75  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.30/1.75  % git: non_committed_changes: false
% 5.30/1.75  
% 5.30/1.75  % ------ Parsing...
% 5.30/1.75  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 5.30/1.75  
% 5.30/1.75  % ------ 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  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 5.30/1.75  
% 5.30/1.75  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 5.30/1.75  
% 5.30/1.75  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 5.30/1.75  % ------ Proving...
% 5.30/1.75  % ------ Problem Properties 
% 5.30/1.75  
% 5.30/1.75  % 
% 5.30/1.75  % clauses                               33
% 5.30/1.75  % conjectures                           8
% 5.30/1.75  % EPR                                   13
% 5.30/1.75  % Horn                                  23
% 5.30/1.75  % unary                                 12
% 5.30/1.75  % binary                                15
% 5.30/1.75  % lits                                  62
% 5.30/1.75  % lits eq                               15
% 5.30/1.75  % fd_pure                               0
% 5.30/1.75  % fd_pseudo                             0
% 5.30/1.75  % fd_cond                               0
% 5.30/1.75  % fd_pseudo_cond                        1
% 5.30/1.75  % AC symbols                            0
% 5.30/1.75  
% 5.30/1.75  % ------ Input Options Time Limit: Unbounded
% 5.30/1.75  
% 5.30/1.75  
% 5.30/1.75  % ------ 
% 5.30/1.75  % Current options:
% 5.30/1.75  % ------ 
% 5.30/1.75  
% 5.30/1.75  
% 5.30/1.75  % 
% 5.30/1.75  
% 5.30/1.75  % ------ Proving...
% 5.30/1.75  % 
% 5.30/1.75  
% 5.30/1.75  % SZS status Theorem for theBenchmark.p
% 5.30/1.75  
% 5.30/1.75  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.30/1.75  
% 5.30/1.75  
%------------------------------------------------------------------------------