TSTP Solution File: MGT059+1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n021.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 : Wed Aug 31 17:51:13 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :  140 (  46 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  158 (  47   ~;  41   |;  52   &)
%                                         (   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    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   33 (  21   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f82,f86]) ).

fof(f86,plain,
    very_low != sF3,
    inference(backward_demodulation,[],[f43,f78]) ).

fof(f78,plain,
    very_low = sF4,
    inference(subsumption_resolution,[],[f77,f30]) ).

fof(f30,plain,
    has_immunity(sK0,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( has_immunity(sK0,sK2)
    & hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
    & has_immunity(sK0,sK1)
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).

fof(f24,plain,
    ( ? [X0,X1,X2] :
        ( has_immunity(X0,X2)
        & hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
        & has_immunity(X0,X1)
        & organization(X0) )
   => ( has_immunity(sK0,sK2)
      & hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
      & has_immunity(sK0,sK1)
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( has_immunity(X0,X2)
      & hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,plain,
    ? [X2,X1,X0] :
      ( has_immunity(X2,X0)
      & hazard_of_mortality(X2,X0) != hazard_of_mortality(X2,X1)
      & has_immunity(X2,X1)
      & organization(X2) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ? [X2,X1,X0] :
      ( hazard_of_mortality(X2,X0) != hazard_of_mortality(X2,X1)
      & organization(X2)
      & has_immunity(X2,X0)
      & has_immunity(X2,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ~ ! [X2,X1,X0] :
        ( ( organization(X2)
          & has_immunity(X2,X0)
          & has_immunity(X2,X1) )
       => hazard_of_mortality(X2,X0) = hazard_of_mortality(X2,X1) ),
    inference(rectify,[],[f9]) ).

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

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

fof(f77,plain,
    ( ~ has_immunity(sK0,sK1)
    | very_low = sF4 ),
    inference(subsumption_resolution,[],[f76,f29]) ).

fof(f29,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f25]) ).

fof(f76,plain,
    ( ~ organization(sK0)
    | ~ has_immunity(sK0,sK1)
    | very_low = sF4 ),
    inference(superposition,[],[f42,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( very_low = hazard_of_mortality(X0,X1)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | ( ( has_immunity(X0,X1)
          | ( ( low = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) )
            & ( ~ positional_advantage(X0,X1)
              | mod1 = hazard_of_mortality(X0,X1)
              | is_aligned(X0,X1) )
            & ( mod2 = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) )
            & ( positional_advantage(X0,X1)
              | is_aligned(X0,X1)
              | high = hazard_of_mortality(X0,X1) ) ) )
        & ( ~ has_immunity(X0,X1)
          | very_low = hazard_of_mortality(X0,X1) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( ~ organization(X1)
      | ( ( has_immunity(X1,X0)
          | ( ( low = hazard_of_mortality(X1,X0)
              | ~ positional_advantage(X1,X0)
              | ~ is_aligned(X1,X0) )
            & ( ~ positional_advantage(X1,X0)
              | mod1 = hazard_of_mortality(X1,X0)
              | is_aligned(X1,X0) )
            & ( mod2 = hazard_of_mortality(X1,X0)
              | positional_advantage(X1,X0)
              | ~ is_aligned(X1,X0) )
            & ( positional_advantage(X1,X0)
              | is_aligned(X1,X0)
              | high = hazard_of_mortality(X1,X0) ) ) )
        & ( ~ has_immunity(X1,X0)
          | very_low = hazard_of_mortality(X1,X0) ) ) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X1,X0] :
      ( ( ( ( ( mod1 = hazard_of_mortality(X1,X0)
              | is_aligned(X1,X0)
              | ~ positional_advantage(X1,X0) )
            & ( high = hazard_of_mortality(X1,X0)
              | is_aligned(X1,X0)
              | positional_advantage(X1,X0) )
            & ( mod2 = hazard_of_mortality(X1,X0)
              | positional_advantage(X1,X0)
              | ~ is_aligned(X1,X0) )
            & ( low = hazard_of_mortality(X1,X0)
              | ~ is_aligned(X1,X0)
              | ~ positional_advantage(X1,X0) ) )
          | has_immunity(X1,X0) )
        & ( ~ has_immunity(X1,X0)
          | very_low = hazard_of_mortality(X1,X0) ) )
      | ~ organization(X1) ),
    inference(ennf_transformation,[],[f10]) ).

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

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

fof(f42,plain,
    hazard_of_mortality(sK0,sK1) = sF4,
    introduced(function_definition,[]) ).

fof(f43,plain,
    sF3 != sF4,
    inference(definition_folding,[],[f31,f42,f41]) ).

fof(f41,plain,
    sF3 = hazard_of_mortality(sK0,sK2),
    introduced(function_definition,[]) ).

fof(f31,plain,
    hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f82,plain,
    very_low = sF3,
    inference(subsumption_resolution,[],[f81,f29]) ).

fof(f81,plain,
    ( ~ organization(sK0)
    | very_low = sF3 ),
    inference(subsumption_resolution,[],[f73,f32]) ).

fof(f32,plain,
    has_immunity(sK0,sK2),
    inference(cnf_transformation,[],[f25]) ).

fof(f73,plain,
    ( ~ has_immunity(sK0,sK2)
    | ~ organization(sK0)
    | very_low = sF3 ),
    inference(superposition,[],[f35,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 03:19:10 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.49  % (11205)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49  % (11198)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50  % (11202)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (11202)Refutation not found, incomplete strategy% (11202)------------------------------
% 0.20/0.50  % (11202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (11202)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (11202)Memory used [KB]: 5884
% 0.20/0.50  % (11202)Time elapsed: 0.109 s
% 0.20/0.50  % (11202)------------------------------
% 0.20/0.50  % (11202)------------------------------
% 0.20/0.50  % (11200)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (11198)First to succeed.
% 0.20/0.50  % (11221)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50  % (11205)Also succeeded, but the first one will report.
% 0.20/0.50  % (11198)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (11198)------------------------------
% 0.20/0.50  % (11198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (11198)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (11198)Memory used [KB]: 6012
% 0.20/0.50  % (11198)Time elapsed: 0.101 s
% 0.20/0.50  % (11198)Instructions burned: 4 (million)
% 0.20/0.50  % (11198)------------------------------
% 0.20/0.50  % (11198)------------------------------
% 0.20/0.50  % (11197)Success in time 0.163 s
%------------------------------------------------------------------------------