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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 : Tue Sep  8 06:11:29 AM UTC 2026

% Result   : Theorem 1.04s 0.55s
% Output   : CNFRefutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   76 (  17 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   71 (  27   ~;  21   |;  13   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_2,plain,
    ! [X,T0,T] :
      ( ( organization(X)
        & has_immunity(X,T0)
        & has_immunity(X,T) )
     => hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).

fof(assumption_2_negated,plain,
    ~ ! [X,T0,T] :
        ( ( organization(X)
          & has_immunity(X,T0)
          & has_immunity(X,T) )
       => hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
    inference(negate_conjecture,[status(cth)],[assumption_2]) ).

cnf(19,plain,
    hazard_of_mortality(sK1,sK2) != hazard_of_mortality(sK1,sK3),
    inference(cnf,[status(esa)],[assumption_2_negated]) ).

cnf(l0,plain,
    hazard_of_mortality(sK1,sK2) != hazard_of_mortality(sK1,sK3),
    inference(instantiation,[status(thm)],[19]) ).

fof(meaning_postulate_greater_comparable,plain,
    ! [X,Y] :
      ( smaller(X,Y)
      | X = Y
      | greater(X,Y) ),
    file('Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).

cnf(10,plain,
    ( smaller(X0,X1)
    | greater(X0,X1)
    | X0 = X1 ),
    inference(cnf,[status(esa)],[meaning_postulate_greater_comparable]) ).

cnf(l1,plain,
    ( smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3))
    | greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3))
    | hazard_of_mortality(sK1,sK2) = hazard_of_mortality(sK1,sK3) ),
    inference(instantiation,[status(thm)],[10]) ).

fof(definition_smaller,plain,
    ! [X,Y] :
      ( smaller(X,Y)
    <=> greater(Y,X) ),
    file('Axioms/MGT001+0.ax',definition_smaller) ).

cnf(6,plain,
    ( ~ smaller(X0,X1)
    | greater(X1,X0) ),
    inference(cnf,[status(esa)],[definition_smaller]) ).

cnf(l102,plain,
    ( ~ smaller(very_low,very_low)
    | greater(very_low,very_low) ),
    inference(instantiation,[status(thm)],[6]) ).

fof(assumption_17,plain,
    ! [X,T] :
      ( organization(X)
     => ( ( has_immunity(X,T)
         => hazard_of_mortality(X,T) = very_low )
        & ( ~ has_immunity(X,T)
         => ( ( ( is_aligned(X,T)
                & positional_advantage(X,T) )
             => hazard_of_mortality(X,T) = low )
            & ( ( ~ is_aligned(X,T)
                & positional_advantage(X,T) )
             => hazard_of_mortality(X,T) = mod1 )
            & ( ( is_aligned(X,T)
                & ~ positional_advantage(X,T) )
             => hazard_of_mortality(X,T) = mod2 )
            & ( ( ~ is_aligned(X,T)
                & ~ positional_advantage(X,T) )
             => hazard_of_mortality(X,T) = high ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).

cnf(11,plain,
    ( ~ organization(X0)
    | ~ has_immunity(X0,X1)
    | hazard_of_mortality(X0,X1) = very_low ),
    inference(cnf,[status(esa)],[assumption_17]) ).

cnf(l84,plain,
    ( ~ organization(sK1)
    | ~ has_immunity(sK1,sK2)
    | hazard_of_mortality(sK1,sK2) = very_low ),
    inference(instantiation,[status(thm)],[11]) ).

fof(meaning_postulate_greater_strict,plain,
    ! [X,Y] :
      ~ ( greater(X,Y)
        & greater(Y,X) ),
    file('Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

cnf(8,plain,
    ( ~ greater(X0,X1)
    | ~ greater(X1,X0) ),
    inference(cnf,[status(esa)],[meaning_postulate_greater_strict]) ).

cnf(l116,plain,
    ( ~ greater(very_low,very_low)
    | ~ greater(very_low,very_low) ),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l49,plain,
    ( ~ greater(very_low,very_low)
    | ~ greater(very_low,very_low) ),
    inference(instantiation,[status(thm)],[8]) ).

cnf(17,plain,
    has_immunity(sK1,sK2),
    inference(cnf,[status(esa)],[assumption_2_negated]) ).

cnf(l97,plain,
    has_immunity(sK1,sK2),
    inference(instantiation,[status(thm)],[17]) ).

cnf(16,plain,
    organization(sK1),
    inference(cnf,[status(esa)],[assumption_2_negated]) ).

cnf(l96,plain,
    organization(sK1),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l30,plain,
    ( ~ organization(sK1)
    | ~ has_immunity(sK1,sK3)
    | hazard_of_mortality(sK1,sK3) = very_low ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l3,plain,
    ( ~ organization(sK1)
    | ~ has_immunity(sK1,sK2)
    | hazard_of_mortality(sK1,sK2) = very_low ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l9,plain,
    has_immunity(sK1,sK2),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l13,plain,
    organization(sK1),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l33,plain,
    organization(sK1),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l94,plain,
    ( ~ organization(sK1)
    | ~ has_immunity(sK1,sK3)
    | hazard_of_mortality(sK1,sK3) = very_low ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(18,plain,
    has_immunity(sK1,sK3),
    inference(cnf,[status(esa)],[assumption_2_negated]) ).

cnf(l95,plain,
    has_immunity(sK1,sK3),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l36,plain,
    has_immunity(sK1,sK3),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l112,plain,
    organization(sK1),
    inference(instantiation,[status(thm)],[16]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l102,l84,l116,l49,l97,l96,l30,l3,l9,l13,l33,l94,l95,l36,l112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n017.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 : Mon Sep  7 13:27:54 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % launching worker at depth: 1
% 0.08/0.36  % launching worker at depth: 2
% 0.08/0.36  % launching worker at depth: 4
% 0.08/0.36  % launching worker at depth: 6
% 0.08/0.36  % launching worker at depth: 5
% 0.08/0.36  % launching worker at depth: 7
% 0.08/0.36  % launching worker at depth: 3
% 0.08/0.36  % launching worker at depth: 8
% 0.08/0.36  % launching worker at depth: 9
% 0.08/0.36  % launching worker at depth: 10
% 0.12/0.39  % launching worker at depth: 11
% 1.04/0.55  % SZS status Theorem for theBenchmark
% 1.04/0.55  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------