↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT064+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n009.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 0.62s 1.15s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  201 (  50 unt;   0 def)
%            Number of atoms       :  652 ( 142 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  769 ( 318   ~; 326   |;  97   &)
%                                         (   9 <=>;  18  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   18 (   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  :   15 (  13 usr;   4 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :  286 (   0 sgn 276   !;  10   ?; 150   :)

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

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

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

fof(f8,axiom,
    ! [X0,X1] :
      ( ( ~ has_endowment(X0)
        & organization(X0) )
     => ~ has_immunity(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( age(X0,X1) = zero
        & organization(X0) )
     => is_aligned(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( age(X0,X1) = zero
        & organization(X0) )
     => ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).

fof(f12,axiom,
    ! [X0] :
      ( robust_position(X0)
    <=> ! [X1] :
          ( ( greater(age(X0,X1),tau)
           => positional_advantage(X0,X1) )
          & ( smaller_or_equal(age(X0,X1),tau)
           => ~ positional_advantage(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4) ).

fof(f13,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/sandbox/benchmark/theBenchmark.p',assumption_17) ).

fof(f15,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).

fof(f19,axiom,
    greater(mod2,mod1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19) ).

fof(f20,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(age(X0,X4),sigma)
        & smaller_or_equal(age(X0,X3),sigma)
        & greater(age(X0,X3),tau)
        & smaller_or_equal(age(X0,X2),tau)
        & greater(sigma,tau)
        & greater(tau,zero)
        & greater(sigma,zero)
        & age(X0,X1) = zero
        & ~ has_endowment(X0)
        & robust_position(X0)
        & organization(X0) )
     => ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
        & smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
        & smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10) ).

fof(f21,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( greater(age(X0,X4),sigma)
          & smaller_or_equal(age(X0,X3),sigma)
          & greater(age(X0,X3),tau)
          & smaller_or_equal(age(X0,X2),tau)
          & greater(sigma,tau)
          & greater(tau,zero)
          & greater(sigma,zero)
          & age(X0,X1) = zero
          & ~ has_endowment(X0)
          & robust_position(X0)
          & organization(X0) )
       => ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          & smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
          & smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ) ),
    inference(negated_conjecture,[status(cth)],[f20]) ).

fof(f22,plain,
    ! [X0] :
      ( robust_position(X0)
     => ! [X1] :
          ( ( greater(age(X0,X1),tau)
           => positional_advantage(X0,X1) )
          & ( smaller_or_equal(age(X0,X1),tau)
           => ~ positional_advantage(X0,X1) ) ) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f23,plain,
    ? [X0,X1,X2,X3,X4] :
      ( greater(age(X0,X4),sigma)
      & smaller_or_equal(age(X0,X3),sigma)
      & greater(age(X0,X3),tau)
      & smaller_or_equal(age(X0,X2),tau)
      & greater(sigma,tau)
      & greater(tau,zero)
      & greater(sigma,zero)
      & age(X0,X1) = zero
      & ~ has_endowment(X0)
      & robust_position(X0)
      & organization(X0)
      & ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        | ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
        | ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f24,plain,
    ? [X0,X1,X2,X3,X4] :
      ( greater(age(X0,X4),sigma)
      & smaller_or_equal(age(X0,X3),sigma)
      & greater(age(X0,X3),tau)
      & smaller_or_equal(age(X0,X2),tau)
      & greater(sigma,tau)
      & greater(tau,zero)
      & greater(sigma,zero)
      & age(X0,X1) = zero
      & ~ has_endowment(X0)
      & robust_position(X0)
      & organization(X0)
      & ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        | ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
        | ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

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

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f31,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ robust_position(X0)
      | ! [X1] :
          ( ( ~ greater(age(X0,X1),tau)
            | positional_advantage(X0,X1) )
          & ( ~ smaller_or_equal(age(X0,X1),tau)
            | ~ positional_advantage(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( has_endowment(X0)
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( has_endowment(X0)
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    inference(flattening,[],[f33]) ).

fof(f35,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,[],[f13]) ).

fof(f36,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,[],[f35]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f38,plain,
    ( greater(age(sK0,sK4),sigma)
    & smaller_or_equal(age(sK0,sK3),sigma)
    & greater(age(sK0,sK3),tau)
    & smaller_or_equal(age(sK0,sK2),tau)
    & greater(sigma,tau)
    & greater(tau,zero)
    & greater(sigma,zero)
    & zero = age(sK0,sK1)
    & ~ has_endowment(sK0)
    & robust_position(sK0)
    & organization(sK0)
    & ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
      | ~ smaller(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK2))
      | ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4)) ) ),
    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)],[f24]) ).

fof(f39,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(f40,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,[],[f39]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( ~ smaller(X0,X1)
        | greater(X1,X0) )
      & ( ~ greater(X1,X0)
        | smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

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,[],[f26]) ).

fof(f43,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,[],[f37]) ).

fof(f44,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,[],[f43]) ).

fof(f45,plain,
    greater(age(sK0,sK4),sigma),
    inference(cnf_transformation,[],[f38]) ).

fof(f46,plain,
    smaller_or_equal(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f38]) ).

fof(f47,plain,
    greater(age(sK0,sK3),tau),
    inference(cnf_transformation,[],[f38]) ).

fof(f48,plain,
    smaller_or_equal(age(sK0,sK2),tau),
    inference(cnf_transformation,[],[f38]) ).

fof(f49,plain,
    greater(sigma,tau),
    inference(cnf_transformation,[],[f38]) ).

fof(f50,plain,
    greater(tau,zero),
    inference(cnf_transformation,[],[f38]) ).

fof(f52,plain,
    zero = age(sK0,sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f53,plain,
    ~ has_endowment(sK0),
    inference(cnf_transformation,[],[f38]) ).

fof(f54,plain,
    robust_position(sK0),
    inference(cnf_transformation,[],[f38]) ).

fof(f55,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f38]) ).

fof(f56,plain,
    ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
    | ~ smaller(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK2))
    | ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ smaller_or_equal(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | ~ greater(age(X0,X2),sigma)
      | dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f42]) ).

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

fof(f65,plain,
    ! [X0,X1] :
      ( age(X0,X1) != zero
      | ~ organization(X0)
      | is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ robust_position(X0)
      | ~ greater(age(X0,X1),tau)
      | positional_advantage(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ robust_position(X0)
      | ~ smaller_or_equal(age(X0,X1),tau)
      | ~ positional_advantage(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( has_endowment(X0)
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f72,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,[],[f36]) ).

fof(f73,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,[],[f36]) ).

fof(f74,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,[],[f36]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | organization(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ~ is_aligned(X0,X1)
      | is_aligned(X0,X2)
      | ~ organization(X0)
      | dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f83,plain,
    greater(mod1,low),
    inference(cnf_transformation,[],[f15]) ).

fof(f84,plain,
    greater(mod2,mod1),
    inference(cnf_transformation,[],[f19]) ).

fof(f87,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f58]) ).

tcf(c_49,negated_conjecture,
    ( ~ smaller(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK2))
    | ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK4))
    | ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_50,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_51,negated_conjecture,
    robust_position(sK0),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_52,negated_conjecture,
    ~ has_endowment(sK0),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_53,negated_conjecture,
    age(sK0,sK1) = zero,
    inference(cnf_transformation,[],[f52]) ).

tcf(c_55,negated_conjecture,
    greater(tau,zero),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_56,negated_conjecture,
    greater(sigma,tau),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_57,negated_conjecture,
    smaller_or_equal(age(sK0,sK2),tau),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_58,negated_conjecture,
    greater(age(sK0,sK3),tau),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_59,negated_conjecture,
    smaller_or_equal(age(sK0,sK3),sigma),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_60,negated_conjecture,
    greater(age(sK0,sK4),sigma),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( smaller_or_equal(X0,X1)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_62,plain,
    ! [X0: $i] : smaller_or_equal(X0,X0),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_67,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,[],[f64]) ).

tcf(c_68,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,[],[f63]) ).

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

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( ~ robust_position(X0)
      | ~ positional_advantage(X0,X1)
      | ~ smaller_or_equal(age(X0,X1),tau) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] :
      ( positional_advantage(X0,X1)
      | ~ robust_position(X0)
      | ~ greater(age(X0,X1),tau) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( has_endowment(X0)
      | ~ organization(X0)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_76,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,[],[f74]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | is_aligned(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod1 )
      | ~ organization(X0)
      | ~ positional_advantage(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | positional_advantage(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod2 )
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X2)
      | dissimilar(X0,X1,X2)
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( organization(X0)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_87,plain,
    greater(mod1,low),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_88,plain,
    greater(mod2,mod1),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_110,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_67,c_82,c_67]) ).

tcf(c_111,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_110]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( ~ organization(X0)
      | ~ has_immunity(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_74]) ).

tcf(c_471,plain,
    ! [X0: $i] :
      ( ~ organization(sK0)
      | ~ has_immunity(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_470]) ).

tcf(c_473,plain,
    ! [X0: $i] : ~ has_immunity(sK0,X0),
    inference(global_subsumption_just,[status(thm)],[c_471,c_50,c_471]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( positional_advantage(X0,X1)
      | ~ greater(age(X0,X1),tau)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_73]) ).

tcf(c_481,plain,
    ! [X0: $i] :
      ( positional_advantage(sK0,X0)
      | ~ greater(age(sK0,X0),tau) ),
    inference(unflattening,[status(thm)],[c_480]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i] :
      ( ~ positional_advantage(X0,X1)
      | ~ smaller_or_equal(age(X0,X1),tau)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_72]) ).

tcf(c_490,plain,
    ! [X0: $i] :
      ( ~ positional_advantage(sK0,X0)
      | ~ smaller_or_equal(age(sK0,X0),tau) ),
    inference(unflattening,[status(thm)],[c_489]) ).

tcf(c_504,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ( X1 != tau )
      | ( age(sK0,sK2) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_63]) ).

tcf(c_505,plain,
    ( smaller(age(sK0,sK2),tau)
    | ( age(sK0,sK2) = tau ) ),
    inference(unflattening,[status(thm)],[c_504]) ).

tcf(c_523,plain,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
      | ( X0 = X1 )
      | ( X1 != sigma )
      | ( age(sK0,sK3) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_63]) ).

tcf(c_524,plain,
    ( smaller(age(sK0,sK3),sigma)
    | ( age(sK0,sK3) = sigma ) ),
    inference(unflattening,[status(thm)],[c_523]) ).

tcf(c_544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ positional_advantage(sK0,X0)
      | ~ smaller(X1,X2)
      | ( X2 != tau )
      | ( age(sK0,X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_490]) ).

tcf(c_545,plain,
    ! [X0: $i] :
      ( ~ positional_advantage(sK0,X0)
      | ~ smaller(age(sK0,X0),tau) ),
    inference(unflattening,[status(thm)],[c_544]) ).

tcf(c_553,plain,
    ! [X0: $i,X1: $i] :
      ( ~ positional_advantage(sK0,X0)
      | ( X1 != tau )
      | ( age(sK0,X0) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_62,c_490]) ).

tcf(c_554,plain,
    ! [X0: $i] :
      ( ~ positional_advantage(sK0,X0)
      | ( age(sK0,X0) != tau ) ),
    inference(unflattening,[status(thm)],[c_553]) ).

tcf(c_663,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( positional_advantage(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod2 )
      | ~ organization(X0)
      | ~ is_aligned(X0,X1)
      | ( X1 != X2 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_78,c_473]) ).

tcf(c_664,plain,
    ! [X0: $i] :
      ( positional_advantage(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod2 )
      | ~ organization(sK0)
      | ~ is_aligned(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_663]) ).

tcf(c_678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_aligned(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod1 )
      | ~ organization(X0)
      | ~ positional_advantage(X0,X1)
      | ( X1 != X2 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_473]) ).

tcf(c_679,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod1 )
      | ~ organization(sK0)
      | ~ positional_advantage(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_678]) ).

tcf(c_681,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod1 )
      | ~ positional_advantage(sK0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_679,c_50,c_679]) ).

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hazard_of_mortality(X0,X1) = low )
      | ~ organization(X0)
      | ~ positional_advantage(X0,X1)
      | ~ is_aligned(X0,X1)
      | ( X1 != X2 )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_473]) ).

tcf(c_694,plain,
    ! [X0: $i] :
      ( ( hazard_of_mortality(sK0,X0) = low )
      | ~ organization(sK0)
      | ~ positional_advantage(sK0,X0)
      | ~ is_aligned(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_693]) ).

tcf(c_740,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_81,c_111]) ).

tcf(c_741,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_740]) ).

tcf(c_742,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_741,c_69,c_741]) ).

tcf(c_768,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_68,c_83]) ).

tcf(c_769,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_768]) ).

tcf(c_771,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_769,c_69,c_769]) ).

tcf(c_772,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_771]) ).

tcf(c_805,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_50,c_772]) ).

tcf(c_806,plain,
    ! [X0: $i,X1: $i] :
      ( ~ is_aligned(sK0,X1)
      | ~ greater(age(sK0,X1),sigma)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_805]) ).

tcf(c_817,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_50,c_742]) ).

tcf(c_818,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(sK0,X1)
      | greater(age(sK0,X1),sigma)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_817]) ).

tcf(c_842,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | positional_advantage(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod2 )
      | ~ is_aligned(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_78]) ).

tcf(c_843,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | positional_advantage(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod2 )
      | ~ is_aligned(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_842]) ).

tcf(c_844,plain,
    ! [X0: $i] :
      ( ~ is_aligned(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod2 )
      | positional_advantage(sK0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_843,c_50,c_664]) ).

tcf(c_845,plain,
    ! [X0: $i] :
      ( positional_advantage(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod2 )
      | ~ is_aligned(sK0,X0) ),
    inference(renaming,[status(thm)],[c_844]) ).

tcf(c_855,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | is_aligned(X0,X1)
      | ( hazard_of_mortality(X0,X1) = mod1 )
      | ~ positional_advantage(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_77]) ).

tcf(c_856,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | is_aligned(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod1 )
      | ~ positional_advantage(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_855]) ).

tcf(c_857,plain,
    ! [X0: $i] :
      ( ~ positional_advantage(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod1 )
      | is_aligned(sK0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_856,c_681]) ).

tcf(c_858,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod1 )
      | ~ positional_advantage(sK0,X0) ),
    inference(renaming,[status(thm)],[c_857]) ).

tcf(c_868,plain,
    ! [X0: $i,X1: $i] :
      ( has_immunity(X0,X1)
      | ( hazard_of_mortality(X0,X1) = low )
      | ~ positional_advantage(X0,X1)
      | ~ is_aligned(X0,X1)
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_76]) ).

tcf(c_869,plain,
    ! [X0: $i] :
      ( has_immunity(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = low )
      | ~ positional_advantage(sK0,X0)
      | ~ is_aligned(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_868]) ).

tcf(c_870,plain,
    ! [X0: $i] :
      ( ~ is_aligned(sK0,X0)
      | ~ positional_advantage(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = low ) ),
    inference(global_subsumption_just,[status(thm)],[c_869,c_50,c_694]) ).

tcf(c_871,plain,
    ! [X0: $i] :
      ( ( hazard_of_mortality(sK0,X0) = low )
      | ~ positional_advantage(sK0,X0)
      | ~ is_aligned(sK0,X0) ),
    inference(renaming,[status(thm)],[c_870]) ).

tcf(c_883,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(X0,X1)
      | ( X0 != sK0 )
      | ( age(X0,X1) != zero ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_69]) ).

tcf(c_884,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ( age(sK0,X0) != zero ) ),
    inference(unflattening,[status(thm)],[c_883]) ).

tcf(c_1912,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_818]) ).

tcf(c_1913,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( age(sK0,X0) != zero ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_818]) ).

tcf(c_1914,plain,
    ( iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_818]) ).

tcf(c_1915,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_806]) ).

tcf(c_1916,plain,
    ( iPr_def_12
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_806]) ).

tcf(c_2323,plain,
    smaller(zero,tau),
    inference(superposition,[status(thm)],[c_55,c_65]) ).

tcf(c_2329,plain,
    smaller(low,mod1),
    inference(superposition,[status(thm)],[c_87,c_65]) ).

tcf(c_2330,plain,
    smaller(mod1,mod2),
    inference(superposition,[status(thm)],[c_88,c_65]) ).

tcf(c_2337,plain,
    positional_advantage(sK0,sK3),
    inference(superposition,[status(thm)],[c_58,c_481]) ).

tcf(c_2354,plain,
    ( greater(sigma,age(sK0,sK3))
    | ( age(sK0,sK3) = sigma ) ),
    inference(superposition,[status(thm)],[c_524,c_66]) ).

tcf(c_2399,plain,
    ! [X0: $i] :
      ( greater(age(sK0,sK4),X0)
      | ~ greater(sigma,X0) ),
    inference(superposition,[status(thm)],[c_60,c_70]) ).

tcf(c_2466,plain,
    ~ iPr_def_11,
    inference(superposition,[status(thm)],[c_53,c_1913]) ).

tcf(c_2467,plain,
    iPr_def_12,
    inference(backward_subsumption_resolution,[status(thm)],[c_1916,c_2466]) ).

tcf(c_2468,plain,
    iPr_def_10,
    inference(backward_subsumption_resolution,[status(thm)],[c_1914,c_2466]) ).

tcf(c_2494,plain,
    ( positional_advantage(sK0,sK4)
    | ~ greater(sigma,tau) ),
    inference(superposition,[status(thm)],[c_2399,c_481]) ).

tcf(c_2495,plain,
    positional_advantage(sK0,sK4),
    inference(forward_subsumption_resolution,[status(thm)],[c_2494,c_56]) ).

tcf(c_2521,plain,
    is_aligned(sK0,sK1),
    inference(superposition,[status(thm)],[c_53,c_884]) ).

tcf(c_2522,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | greater(age(sK0,X0),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_1912,c_1912,c_2468]) ).

tcf(c_2530,plain,
    ! [X0: $i,X1: $i] :
      ( is_aligned(sK0,X1)
      | greater(age(sK0,X1),X0)
      | ~ greater(sigma,X0) ),
    inference(superposition,[status(thm)],[c_2522,c_70]) ).

tcf(c_2532,plain,
    ! [X0: $i] :
      ( is_aligned(sK0,X0)
      | ~ greater(sigma,age(sK0,X0)) ),
    inference(superposition,[status(thm)],[c_2522,c_71]) ).

tcf(c_2599,plain,
    ! [X0: $i] :
      ( ~ is_aligned(sK0,X0)
      | ~ greater(age(sK0,X0),sigma) ),
    inference(global_subsumption_just,[status(thm)],[c_1915,c_1915,c_2467]) ).

tcf(c_2606,plain,
    ~ is_aligned(sK0,sK4),
    inference(superposition,[status(thm)],[c_60,c_2599]) ).

tcf(c_2617,plain,
    ( positional_advantage(sK0,sK1)
    | ( hazard_of_mortality(sK0,sK1) = mod2 ) ),
    inference(superposition,[status(thm)],[c_2521,c_845]) ).

tcf(c_2628,plain,
    ( is_aligned(sK0,sK4)
    | ( hazard_of_mortality(sK0,sK4) = mod1 ) ),
    inference(superposition,[status(thm)],[c_2495,c_858]) ).

tcf(c_2629,plain,
    hazard_of_mortality(sK0,sK4) = mod1,
    inference(forward_subsumption_resolution,[status(thm)],[c_2628,c_2606]) ).

tcf(c_2635,plain,
    ( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
    | ~ smaller(hazard_of_mortality(sK0,sK3),mod1)
    | ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
    inference(demodulation,[status(thm)],[c_49,c_2629]) ).

tcf(c_2646,plain,
    ( ( hazard_of_mortality(sK0,sK3) = low )
    | ~ is_aligned(sK0,sK3) ),
    inference(superposition,[status(thm)],[c_2337,c_871]) ).

tcf(c_2744,plain,
    ( ( age(sK0,sK2) = tau )
    | ~ positional_advantage(sK0,sK2) ),
    inference(superposition,[status(thm)],[c_505,c_545]) ).

tcf(c_2745,plain,
    ( ~ positional_advantage(sK0,sK1)
    | ~ smaller(zero,tau) ),
    inference(superposition,[status(thm)],[c_53,c_545]) ).

tcf(c_2746,plain,
    ~ positional_advantage(sK0,sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_2745,c_2323]) ).

tcf(c_2752,plain,
    hazard_of_mortality(sK0,sK1) = mod2,
    inference(backward_subsumption_resolution,[status(thm)],[c_2617,c_2746]) ).

tcf(c_2753,plain,
    ( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
    | ~ smaller(hazard_of_mortality(sK0,sK3),mod1)
    | ( hazard_of_mortality(sK0,sK2) != mod2 ) ),
    inference(demodulation,[status(thm)],[c_2635,c_2752]) ).

tcf(c_2814,plain,
    ~ positional_advantage(sK0,sK2),
    inference(backward_subsumption_resolution,[status(thm)],[c_2744,c_554]) ).

tcf(c_2824,plain,
    ( is_aligned(sK0,sK3)
    | ( age(sK0,sK3) = sigma ) ),
    inference(superposition,[status(thm)],[c_2354,c_2532]) ).

tcf(c_2861,plain,
    ! [X0: $i] :
      ( positional_advantage(sK0,X0)
      | is_aligned(sK0,X0)
      | ~ greater(sigma,tau) ),
    inference(superposition,[status(thm)],[c_2530,c_481]) ).

tcf(c_2865,plain,
    ! [X0: $i] :
      ( positional_advantage(sK0,X0)
      | is_aligned(sK0,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2861,c_56]) ).

tcf(c_3121,plain,
    ! [X0: $i] :
      ( positional_advantage(sK0,X0)
      | ( hazard_of_mortality(sK0,X0) = mod2 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_845,c_2865]) ).

tcf(c_3136,plain,
    ( ( age(sK0,sK3) = sigma )
    | ( hazard_of_mortality(sK0,sK3) = low ) ),
    inference(superposition,[status(thm)],[c_2824,c_2646]) ).

tcf(c_3147,plain,
    hazard_of_mortality(sK0,sK2) = mod2,
    inference(superposition,[status(thm)],[c_3121,c_2814]) ).

tcf(c_3824,plain,
    ( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
    | ~ smaller(hazard_of_mortality(sK0,sK3),mod1) ),
    inference(global_subsumption_just,[status(thm)],[c_2753,c_2753,c_3147]) ).

tcf(c_3826,plain,
    ( ~ smaller(mod1,mod2)
    | ~ smaller(hazard_of_mortality(sK0,sK3),mod1) ),
    inference(light_normalisation,[status(thm)],[c_3824,c_3147]) ).

tcf(c_3827,plain,
    ~ smaller(hazard_of_mortality(sK0,sK3),mod1),
    inference(forward_subsumption_resolution,[status(thm)],[c_3826,c_2330]) ).

tcf(c_3830,plain,
    ( ( age(sK0,sK3) = sigma )
    | ~ smaller(low,mod1) ),
    inference(superposition,[status(thm)],[c_3136,c_3827]) ).

tcf(c_3834,plain,
    age(sK0,sK3) = sigma,
    inference(forward_subsumption_resolution,[status(thm)],[c_3830,c_2329]) ).

tcf(c_3900,plain,
    ( is_aligned(sK0,sK3)
    | ~ greater(sigma,sigma) ),
    inference(superposition,[status(thm)],[c_3834,c_2532]) ).

tcf(c_3903,plain,
    ( is_aligned(sK0,sK3)
    | greater(sigma,sigma) ),
    inference(superposition,[status(thm)],[c_3834,c_2522]) ).

tcf(c_3912,plain,
    is_aligned(sK0,sK3),
    inference(backward_subsumption_resolution,[status(thm)],[c_3903,c_3900]) ).

tcf(c_3915,plain,
    hazard_of_mortality(sK0,sK3) = low,
    inference(backward_subsumption_resolution,[status(thm)],[c_2646,c_3912]) ).

tcf(c_3916,plain,
    ~ smaller(low,mod1),
    inference(demodulation,[status(thm)],[c_3827,c_3915]) ).

tcf(c_3917,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3916,c_2329]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT064+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n009.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 01:18:13 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38  Running first-order theorem proving
% 0.12/0.38  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39  
% 0.12/0.39  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39  
% 0.12/0.39  % Detected problem language: tptp
% 0.12/0.40  % Proving...
% 0.62/1.15  % SZS status Started for theBenchmark.p
% 0.62/1.15  % SZS status Theorem for theBenchmark.p
% 0.62/1.15  
% 0.62/1.15  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.62/1.15  
% 0.62/1.15  % ------  iProver source info
% 0.62/1.15  
% 0.62/1.15  % git: date: 2026-07-19 20:42:38 +0200
% 0.62/1.15  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.62/1.15  % git: non_committed_changes: false
% 0.62/1.15  
% 0.62/1.15  % ------ Parsing...
% 0.62/1.15  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.62/1.15  
% 0.62/1.15  % ------ 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: 5 0s  sf_e  pe_s  pe_e % 
% 0.62/1.15  
% 0.62/1.15  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 0.62/1.15  
% 0.62/1.15  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.62/1.15  % ------ Proving...
% 0.62/1.15  % ------ Problem Properties 
% 0.62/1.15  
% 0.62/1.15  % 
% 0.62/1.15  % clauses                               35
% 0.62/1.15  % conjectures                           7
% 0.62/1.15  % EPR                                   16
% 0.62/1.15  % Horn                                  26
% 0.62/1.15  % unary                                 12
% 0.62/1.15  % binary                                13
% 0.62/1.15  % lits                                  68
% 0.62/1.15  % lits eq                               15
% 0.62/1.15  % fd_pure                               0
% 0.62/1.15  % fd_pseudo                             0
% 0.62/1.15  % fd_cond                               0
% 0.62/1.15  % fd_pseudo_cond                        1
% 0.62/1.15  % AC symbols                            0
% 0.62/1.15  
% 0.62/1.15  % ------ Schedule dynamic 5 is on 
% 0.62/1.15  
% 0.62/1.15  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.62/1.15  
% 0.62/1.15  
% 0.62/1.15  % ------ 
% 0.62/1.15  % Current options:
% 0.62/1.15  % ------ 
% 0.62/1.15  
% 0.62/1.15  
% 0.62/1.15  % 
% 0.62/1.15  
% 0.62/1.15  % ------ Proving...
% 0.62/1.15  % 
% 0.62/1.15  
% 0.62/1.15  % SZS status Theorem for theBenchmark.p
% 0.62/1.15  
% 0.62/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.62/1.15  
% 0.62/1.15  
%------------------------------------------------------------------------------