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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n017.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 17:51:40 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  13 unt;   0 def)
%            Number of atoms       :  136 (  46 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  150 (  43   ~;  37   |;  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(f58,plain,
    $false,
    inference(subsumption_resolution,[],[f57,f55]) ).

fof(f55,plain,
    very_low != sF3,
    inference(backward_demodulation,[],[f48,f54]) ).

fof(f54,plain,
    very_low = sF4,
    inference(backward_demodulation,[],[f47,f53]) ).

fof(f53,plain,
    very_low = hazard_of_mortality(sK2,sK1),
    inference(subsumption_resolution,[],[f52,f37]) ).

fof(f37,plain,
    organization(sK2),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( hazard_of_mortality(sK2,sK0) != hazard_of_mortality(sK2,sK1)
    & organization(sK2)
    & has_immunity(sK2,sK1)
    & has_immunity(sK2,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).

fof(f28,plain,
    ( ? [X0,X1,X2] :
        ( hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X0)
        & organization(X2)
        & has_immunity(X2,X1)
        & has_immunity(X2,X0) )
   => ( hazard_of_mortality(sK2,sK0) != hazard_of_mortality(sK2,sK1)
      & organization(sK2)
      & has_immunity(sK2,sK1)
      & has_immunity(sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X0)
      & organization(X2)
      & has_immunity(X2,X1)
      & has_immunity(X2,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ? [X1,X2,X0] :
      ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
      & organization(X0)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ? [X2,X0,X1] :
      ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ ! [X2,X0,X1] :
        ( ( has_immunity(X0,X2)
          & has_immunity(X0,X1)
          & organization(X0) )
       => hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X4,X3] :
        ( ( 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,
    ! [X0,X4,X3] :
      ( ( 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(f52,plain,
    ( very_low = hazard_of_mortality(sK2,sK1)
    | ~ organization(sK2) ),
    inference(resolution,[],[f41,f36]) ).

fof(f36,plain,
    has_immunity(sK2,sK1),
    inference(cnf_transformation,[],[f29]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X1,X0)
      | ~ organization(X1)
      | very_low = hazard_of_mortality(X1,X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ organization(X1)
      | ( ( has_immunity(X1,X0)
          | ( ( positional_advantage(X1,X0)
              | high = hazard_of_mortality(X1,X0)
              | is_aligned(X1,X0) )
            & ( ~ is_aligned(X1,X0)
              | mod2 = hazard_of_mortality(X1,X0)
              | positional_advantage(X1,X0) )
            & ( low = hazard_of_mortality(X1,X0)
              | ~ is_aligned(X1,X0)
              | ~ positional_advantage(X1,X0) )
            & ( mod1 = hazard_of_mortality(X1,X0)
              | ~ positional_advantage(X1,X0)
              | is_aligned(X1,X0) ) ) )
        & ( very_low = hazard_of_mortality(X1,X0)
          | ~ has_immunity(X1,X0) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0] :
      ( ~ organization(X0)
      | ( ( has_immunity(X0,X1)
          | ( ( positional_advantage(X0,X1)
              | high = hazard_of_mortality(X0,X1)
              | is_aligned(X0,X1) )
            & ( ~ is_aligned(X0,X1)
              | mod2 = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1) )
            & ( low = hazard_of_mortality(X0,X1)
              | ~ is_aligned(X0,X1)
              | ~ positional_advantage(X0,X1) )
            & ( mod1 = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1) ) ) )
        & ( very_low = hazard_of_mortality(X0,X1)
          | ~ has_immunity(X0,X1) ) ) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( ( ( ( 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) )
            & ( high = hazard_of_mortality(X0,X1)
              | is_aligned(X0,X1)
              | positional_advantage(X0,X1) )
            & ( low = hazard_of_mortality(X0,X1)
              | ~ is_aligned(X0,X1)
              | ~ positional_advantage(X0,X1) ) )
          | has_immunity(X0,X1) )
        & ( very_low = hazard_of_mortality(X0,X1)
          | ~ has_immunity(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X1,X0] :
      ( organization(X0)
     => ( ( ~ has_immunity(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) )
            & ( ( ~ is_aligned(X0,X1)
                & ~ positional_advantage(X0,X1) )
             => high = hazard_of_mortality(X0,X1) )
            & ( ( is_aligned(X0,X1)
                & positional_advantage(X0,X1) )
             => low = hazard_of_mortality(X0,X1) ) ) )
        & ( has_immunity(X0,X1)
         => very_low = hazard_of_mortality(X0,X1) ) ) ),
    inference(rectify,[],[f7]) ).

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

fof(f47,plain,
    hazard_of_mortality(sK2,sK1) = sF4,
    introduced(function_definition,[]) ).

fof(f48,plain,
    sF3 != sF4,
    inference(definition_folding,[],[f38,f47,f46]) ).

fof(f46,plain,
    hazard_of_mortality(sK2,sK0) = sF3,
    introduced(function_definition,[]) ).

fof(f38,plain,
    hazard_of_mortality(sK2,sK0) != hazard_of_mortality(sK2,sK1),
    inference(cnf_transformation,[],[f29]) ).

fof(f57,plain,
    very_low = sF3,
    inference(backward_demodulation,[],[f46,f56]) ).

fof(f56,plain,
    very_low = hazard_of_mortality(sK2,sK0),
    inference(subsumption_resolution,[],[f51,f37]) ).

fof(f51,plain,
    ( very_low = hazard_of_mortality(sK2,sK0)
    | ~ organization(sK2) ),
    inference(resolution,[],[f41,f35]) ).

fof(f35,plain,
    has_immunity(sK2,sK0),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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   : Tue Aug 30 02:47:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (20763)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (20770)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (20770)Instruction limit reached!
% 0.19/0.49  % (20770)------------------------------
% 0.19/0.49  % (20770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (20770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (20770)Termination reason: Unknown
% 0.19/0.49  % (20770)Termination phase: Preprocessing 3
% 0.19/0.49  
% 0.19/0.49  % (20770)Memory used [KB]: 895
% 0.19/0.49  % (20770)Time elapsed: 0.002 s
% 0.19/0.49  % (20770)Instructions burned: 2 (million)
% 0.19/0.49  % (20770)------------------------------
% 0.19/0.49  % (20770)------------------------------
% 0.19/0.50  % (20766)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (20763)Refutation not found, incomplete strategy% (20763)------------------------------
% 0.19/0.50  % (20763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (20766)First to succeed.
% 0.19/0.50  % (20763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20763)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (20763)Memory used [KB]: 5373
% 0.19/0.50  % (20763)Time elapsed: 0.106 s
% 0.19/0.50  % (20763)Instructions burned: 2 (million)
% 0.19/0.50  % (20763)------------------------------
% 0.19/0.50  % (20763)------------------------------
% 0.19/0.50  % (20786)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50  % (20785)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (20773)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (20769)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (20789)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  % (20767)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (20776)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (20766)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (20766)------------------------------
% 0.19/0.52  % (20766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (20766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (20766)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (20766)Memory used [KB]: 5373
% 0.19/0.52  % (20766)Time elapsed: 0.115 s
% 0.19/0.52  % (20766)Instructions burned: 3 (million)
% 0.19/0.52  % (20766)------------------------------
% 0.19/0.52  % (20766)------------------------------
% 0.19/0.52  % (20761)Success in time 0.171 s
%------------------------------------------------------------------------------