TSTP Solution File: MGT059+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 : Fri May  3 02:43:51 EDT 2024

% Result   : Theorem 1.16s 1.23s
% Output   : CNFRefutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   29 (  12 unt;   0 def)
%            Number of atoms       :  125 (  44 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  139 (  43   ~;  33   |;  45   &)
%                                         (   0 <=>;  18  =>;   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   :   35 (   0 sgn  19   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X3] :
      ( organization(X0)
     => ( ( ~ has_immunity(X0,X3)
         => ( ( ( ~ positional_advantage(X0,X3)
                & ~ is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = high )
            & ( ( ~ positional_advantage(X0,X3)
                & is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = mod2 )
            & ( ( positional_advantage(X0,X3)
                & ~ is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = mod1 )
            & ( ( positional_advantage(X0,X3)
                & is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = low ) ) )
        & ( has_immunity(X0,X3)
         => hazard_of_mortality(X0,X3) = very_low ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).

fof(f8,conjecture,
    ! [X0,X4,X3] :
      ( ( has_immunity(X0,X3)
        & has_immunity(X0,X4)
        & organization(X0) )
     => hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X4,X3] :
        ( ( has_immunity(X0,X3)
          & has_immunity(X0,X4)
          & organization(X0) )
       => hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( organization(X0)
     => ( ( ~ has_immunity(X0,X1)
         => ( ( ( ~ positional_advantage(X0,X1)
                & ~ is_aligned(X0,X1) )
             => high = hazard_of_mortality(X0,X1) )
            & ( ( ~ positional_advantage(X0,X1)
                & is_aligned(X0,X1) )
             => mod2 = hazard_of_mortality(X0,X1) )
            & ( ( positional_advantage(X0,X1)
                & ~ is_aligned(X0,X1) )
             => mod1 = hazard_of_mortality(X0,X1) )
            & ( ( positional_advantage(X0,X1)
                & is_aligned(X0,X1) )
             => low = hazard_of_mortality(X0,X1) ) ) )
        & ( has_immunity(X0,X1)
         => very_low = hazard_of_mortality(X0,X1) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f11,plain,
    ~ ! [X0,X1,X2] :
        ( ( has_immunity(X0,X2)
          & has_immunity(X0,X1)
          & organization(X0) )
       => hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    inference(rectify,[],[f9]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( ( ( ( high = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( mod2 = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) )
            & ( mod1 = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( low = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) ) )
          | has_immunity(X0,X1) )
        & ( very_low = hazard_of_mortality(X0,X1)
          | ~ has_immunity(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( ( ( ( high = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( mod2 = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) )
            & ( mod1 = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( low = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) ) )
          | has_immunity(X0,X1) )
        & ( very_low = hazard_of_mortality(X0,X1)
          | ~ has_immunity(X0,X1) ) )
      | ~ organization(X0) ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ( ? [X0,X1,X2] :
        ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        & has_immunity(X0,X2)
        & has_immunity(X0,X1)
        & organization(X0) )
   => ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
      & has_immunity(sK0,sK2)
      & has_immunity(sK0,sK1)
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
    & has_immunity(sK0,sK2)
    & has_immunity(sK0,sK1)
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f20,f21]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( very_low = hazard_of_mortality(X0,X1)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f22]) ).

fof(f33,plain,
    has_immunity(sK0,sK1),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    has_immunity(sK0,sK2),
    inference(cnf_transformation,[],[f22]) ).

fof(f35,plain,
    hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_57,plain,
    ( ~ has_immunity(X0,X1)
    | ~ organization(X0)
    | hazard_of_mortality(X0,X1) = very_low ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_58,negated_conjecture,
    hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_59,negated_conjecture,
    has_immunity(sK0,sK2),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_60,negated_conjecture,
    has_immunity(sK0,sK1),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_61,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_229,plain,
    ( X0 != sK0
    | ~ has_immunity(X0,X1)
    | hazard_of_mortality(X0,X1) = very_low ),
    inference(resolution_lifted,[status(thm)],[c_57,c_61]) ).

cnf(c_230,plain,
    ( ~ has_immunity(sK0,X0)
    | hazard_of_mortality(sK0,X0) = very_low ),
    inference(unflattening,[status(thm)],[c_229]) ).

cnf(c_376,plain,
    ( X0 != sK2
    | sK0 != sK0
    | hazard_of_mortality(sK0,X0) = very_low ),
    inference(resolution_lifted,[status(thm)],[c_59,c_230]) ).

cnf(c_377,plain,
    hazard_of_mortality(sK0,sK2) = very_low,
    inference(unflattening,[status(thm)],[c_376]) ).

cnf(c_381,plain,
    ( X0 != sK1
    | sK0 != sK0
    | hazard_of_mortality(sK0,X0) = very_low ),
    inference(resolution_lifted,[status(thm)],[c_60,c_230]) ).

cnf(c_382,plain,
    hazard_of_mortality(sK0,sK1) = very_low,
    inference(unflattening,[status(thm)],[c_381]) ).

cnf(c_503,plain,
    very_low != very_low,
    inference(light_normalisation,[status(thm)],[c_58,c_377,c_382]) ).

cnf(c_504,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_503]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 22:59:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.16/1.23  % SZS status Started for theBenchmark.p
% 1.16/1.23  % SZS status Theorem for theBenchmark.p
% 1.16/1.23  
% 1.16/1.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.16/1.23  
% 1.16/1.23  ------  iProver source info
% 1.16/1.23  
% 1.16/1.23  git: date: 2024-05-02 19:28:25 +0000
% 1.16/1.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.16/1.23  git: non_committed_changes: false
% 1.16/1.23  
% 1.16/1.23  ------ Parsing...
% 1.16/1.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.16/1.23  
% 1.16/1.23  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e 
% 1.16/1.23  
% 1.16/1.23  % SZS status Theorem for theBenchmark.p
% 1.16/1.23  
% 1.16/1.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/1.23  
% 1.16/1.23  
%------------------------------------------------------------------------------