TSTP Solution File: MGT059+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:28:52 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   78 (  26 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :   86 (  26   ~;  25   |;  26   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (  16   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [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') ).

fof(f8,conjecture,
    ! [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') ).

fof(f9,negated_conjecture,
    ~ ! [X,T0,T] :
        ( ( organization(X)
          & has_immunity(X,T0)
          & has_immunity(X,T) )
       => hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f30,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 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f31,plain,
    ! [X] :
      ( ~ organization(X)
      | ( ! [T] :
            ( ~ has_immunity(X,T)
            | hazard_of_mortality(X,T) = very_low )
        & ! [T] :
            ( 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 ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | ~ has_immunity(X0,X1)
      | hazard_of_mortality(X0,X1) = very_low ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f37,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(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f38,plain,
    ( organization(sk0_0)
    & has_immunity(sk0_0,sk0_1)
    & has_immunity(sk0_0,sk0_2)
    & hazard_of_mortality(sk0_0,sk0_1) != hazard_of_mortality(sk0_0,sk0_2) ),
    inference(skolemization,[status(esa)],[f37]) ).

fof(f39,plain,
    organization(sk0_0),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f40,plain,
    has_immunity(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f41,plain,
    has_immunity(sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f42,plain,
    hazard_of_mortality(sk0_0,sk0_1) != hazard_of_mortality(sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ has_immunity(sk0_0,X0)
      | hazard_of_mortality(sk0_0,X0) = very_low ),
    inference(resolution,[status(thm)],[f32,f39]) ).

fof(f74,plain,
    hazard_of_mortality(sk0_0,sk0_2) = very_low,
    inference(resolution,[status(thm)],[f73,f41]) ).

fof(f75,plain,
    hazard_of_mortality(sk0_0,sk0_1) = very_low,
    inference(resolution,[status(thm)],[f73,f40]) ).

fof(f76,plain,
    hazard_of_mortality(sk0_0,sk0_1) != very_low,
    inference(backward_demodulation,[status(thm)],[f74,f42]) ).

fof(f77,plain,
    very_low != very_low,
    inference(forward_demodulation,[status(thm)],[f75,f76]) ).

fof(f78,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:35:02 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.020116 seconds
% 0.14/0.38  % CPU time: 0.032504 seconds
% 0.14/0.38  % Total memory used: 11.111 MB
% 0.14/0.38  % Net memory used: 10.988 MB
%------------------------------------------------------------------------------