TSTP Solution File: MGT054+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : MGT054+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n008.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 : Mon Jun 24 11:51:25 EDT 2024

% Result   : Theorem 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   98 (  15 unt;   0 def)
%            Number of atoms       :  334 (  32 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  373 ( 137   ~; 125   |;  80   &)
%                                         (  13 <=>;  16  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  173 ( 161   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f735,plain,
    $false,
    inference(subsumption_resolution,[],[f734,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ~ ( greater(X1,X0)
        & greater(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f734,plain,
    greater(sigma,sigma),
    inference(subsumption_resolution,[],[f713,f278]) ).

fof(f278,plain,
    ~ is_aligned(sK1,sK3),
    inference(resolution,[],[f275,f188]) ).

fof(f188,plain,
    ( is_aligned(sK1,sK4)
    | ~ is_aligned(sK1,sK3) ),
    inference(subsumption_resolution,[],[f184,f56]) ).

fof(f56,plain,
    organization(sK1),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ~ greater(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK3))
    & greater(sigma,zero)
    & greater(age(sK1,sK4),sigma)
    & smaller_or_equal(age(sK1,sK3),sigma)
    & zero = age(sK1,sK2)
    & ~ has_endowment(sK1)
    & organization(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f27,f49]) ).

fof(f49,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
        & greater(sigma,zero)
        & greater(age(X0,X3),sigma)
        & smaller_or_equal(age(X0,X2),sigma)
        & zero = age(X0,X1)
        & ~ has_endowment(X0)
        & organization(X0) )
   => ( ~ greater(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK3))
      & greater(sigma,zero)
      & greater(age(sK1,sK4),sigma)
      & smaller_or_equal(age(sK1,sK3),sigma)
      & zero = age(sK1,sK2)
      & ~ has_endowment(sK1)
      & organization(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0,X1,X2,X3] :
      ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
      & greater(sigma,zero)
      & greater(age(X0,X3),sigma)
      & smaller_or_equal(age(X0,X2),sigma)
      & zero = age(X0,X1)
      & ~ has_endowment(X0)
      & organization(X0) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ? [X0,X1,X2,X3] :
      ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
      & greater(sigma,zero)
      & greater(age(X0,X3),sigma)
      & smaller_or_equal(age(X0,X2),sigma)
      & zero = age(X0,X1)
      & ~ has_endowment(X0)
      & organization(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( greater(sigma,zero)
          & greater(age(X0,X3),sigma)
          & smaller_or_equal(age(X0,X2),sigma)
          & zero = age(X0,X1)
          & ~ has_endowment(X0)
          & organization(X0) )
       => greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
    inference(rectify,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X4,X5,X6] :
        ( ( greater(sigma,zero)
          & greater(age(X0,X6),sigma)
          & smaller_or_equal(age(X0,X5),sigma)
          & zero = age(X0,X4)
          & ~ has_endowment(X0)
          & organization(X0) )
       => greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X0,X4,X5,X6] :
      ( ( greater(sigma,zero)
        & greater(age(X0,X6),sigma)
        & smaller_or_equal(age(X0,X5),sigma)
        & zero = age(X0,X4)
        & ~ has_endowment(X0)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f184,plain,
    ( is_aligned(sK1,sK4)
    | ~ is_aligned(sK1,sK3)
    | ~ organization(sK1) ),
    inference(resolution,[],[f181,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( greater(capability(X0,X1),capability(X0,X2))
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( greater(capability(X0,X1),capability(X0,X2))
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( greater(capability(X0,X1),capability(X0,X2))
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ~ is_aligned(X0,X2)
        & is_aligned(X0,X1)
        & organization(X0) )
     => greater(capability(X0,X1),capability(X0,X2)) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X4,X3] :
      ( ( ~ is_aligned(X0,X3)
        & is_aligned(X0,X4)
        & organization(X0) )
     => greater(capability(X0,X4),capability(X0,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f181,plain,
    ~ greater(capability(sK1,sK3),capability(sK1,sK4)),
    inference(subsumption_resolution,[],[f180,f56]) ).

fof(f180,plain,
    ( ~ greater(capability(sK1,sK3),capability(sK1,sK4))
    | ~ organization(sK1) ),
    inference(subsumption_resolution,[],[f179,f91]) ).

fof(f91,plain,
    ! [X0] : ~ has_immunity(sK1,X0),
    inference(subsumption_resolution,[],[f82,f57]) ).

fof(f57,plain,
    ~ has_endowment(sK1),
    inference(cnf_transformation,[],[f50]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ has_immunity(sK1,X0)
      | has_endowment(sK1) ),
    inference(resolution,[],[f56,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | has_endowment(X0)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | has_endowment(X0)
      | ~ organization(X0) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | has_endowment(X0)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( ~ has_endowment(X0)
        & organization(X0) )
     => ~ has_immunity(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3] :
      ( ( ~ has_endowment(X0)
        & organization(X0) )
     => ~ has_immunity(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f179,plain,
    ( ~ greater(capability(sK1,sK3),capability(sK1,sK4))
    | has_immunity(sK1,sK4)
    | ~ organization(sK1) ),
    inference(subsumption_resolution,[],[f175,f91]) ).

fof(f175,plain,
    ( ~ greater(capability(sK1,sK3),capability(sK1,sK4))
    | has_immunity(sK1,sK3)
    | has_immunity(sK1,sK4)
    | ~ organization(sK1) ),
    inference(resolution,[],[f62,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( greater(capability(X0,X2),capability(X0,X1))
        & ~ has_immunity(X0,X2)
        & ~ has_immunity(X0,X1)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X4,X3] :
      ( ( greater(capability(X0,X3),capability(X0,X4))
        & ~ has_immunity(X0,X3)
        & ~ has_immunity(X0,X4)
        & organization(X0) )
     => greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f62,plain,
    ~ greater(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK3)),
    inference(cnf_transformation,[],[f50]) ).

fof(f275,plain,
    ~ is_aligned(sK1,sK4),
    inference(resolution,[],[f267,f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ dissimilar(sK1,sK2,X0)
      | ~ is_aligned(sK1,X0) ),
    inference(resolution,[],[f120,f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
      | ~ dissimilar(X0,X1,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( dissimilar(X0,X1,X2)
        | ~ sP0(X2,X0,X1) )
      & ( sP0(X2,X0,X1)
        | ~ dissimilar(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> sP0(X2,X0,X1) ),
    inference(definition_folding,[],[f46,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X4,X3] :
      ( dissimilar(X0,X4,X3)
    <=> ( ~ ( is_aligned(X0,X4)
          <=> is_aligned(X0,X3) )
        & organization(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f120,plain,
    ! [X0] :
      ( ~ sP0(X0,sK1,sK2)
      | ~ is_aligned(sK1,X0) ),
    inference(resolution,[],[f119,f77]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( ~ is_aligned(X1,X0)
      | ~ is_aligned(X1,X2)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( is_aligned(X1,X2)
            | ~ is_aligned(X1,X0) )
          & ( is_aligned(X1,X0)
            | ~ is_aligned(X1,X2) ) )
        | ~ organization(X1) )
      & ( ( ( ~ is_aligned(X1,X0)
            | ~ is_aligned(X1,X2) )
          & ( is_aligned(X1,X0)
            | is_aligned(X1,X2) )
          & organization(X1) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ( ( is_aligned(X0,X1)
            | ~ is_aligned(X0,X2) )
          & ( is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) ) )
        | ~ organization(X0) )
      & ( ( ( ~ is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) )
          & ( is_aligned(X0,X2)
            | is_aligned(X0,X1) )
          & organization(X0) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ( sP0(X2,X0,X1)
        | ( ( is_aligned(X0,X1)
            | ~ is_aligned(X0,X2) )
          & ( is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) ) )
        | ~ organization(X0) )
      & ( ( ( ~ is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) )
          & ( is_aligned(X0,X2)
            | is_aligned(X0,X1) )
          & organization(X0) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f119,plain,
    is_aligned(sK1,sK2),
    inference(subsumption_resolution,[],[f112,f56]) ).

fof(f112,plain,
    ( is_aligned(sK1,sK2)
    | ~ organization(sK1) ),
    inference(trivial_inequality_removal,[],[f111]) ).

fof(f111,plain,
    ( zero != zero
    | is_aligned(sK1,sK2)
    | ~ organization(sK1) ),
    inference(superposition,[],[f65,f58]) ).

fof(f58,plain,
    zero = age(sK1,sK2),
    inference(cnf_transformation,[],[f50]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( is_aligned(X0,X1)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( is_aligned(X0,X1)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( is_aligned(X0,X1)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( zero = age(X0,X1)
        & organization(X0) )
     => is_aligned(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X3] :
      ( ( age(X0,X3) = zero
        & organization(X0) )
     => is_aligned(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f267,plain,
    dissimilar(sK1,sK2,sK4),
    inference(resolution,[],[f115,f60]) ).

fof(f60,plain,
    greater(age(sK1,sK4),sigma),
    inference(cnf_transformation,[],[f50]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ greater(age(sK1,X0),sigma)
      | dissimilar(sK1,sK2,X0) ),
    inference(subsumption_resolution,[],[f114,f56]) ).

fof(f114,plain,
    ! [X0] :
      ( dissimilar(sK1,sK2,X0)
      | ~ greater(age(sK1,X0),sigma)
      | ~ organization(sK1) ),
    inference(trivial_inequality_removal,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( zero != zero
      | dissimilar(sK1,sK2,X0)
      | ~ greater(age(sK1,X0),sigma)
      | ~ organization(sK1) ),
    inference(superposition,[],[f72,f58]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X1,X2)
      | ~ greater(age(X0,X2),sigma)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(age(X0,X2),sigma)
          | ~ dissimilar(X0,X1,X2) )
        & ( dissimilar(X0,X1,X2)
          | ~ greater(age(X0,X2),sigma) ) )
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) )
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) )
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( zero = age(X0,X1)
        & organization(X0) )
     => ( greater(age(X0,X2),sigma)
      <=> dissimilar(X0,X1,X2) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X4,X3] :
      ( ( zero = age(X0,X4)
        & organization(X0) )
     => ( greater(age(X0,X3),sigma)
      <=> dissimilar(X0,X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f713,plain,
    ( greater(sigma,sigma)
    | is_aligned(sK1,sK3) ),
    inference(superposition,[],[f235,f699]) ).

fof(f699,plain,
    sigma = age(sK1,sK3),
    inference(subsumption_resolution,[],[f697,f278]) ).

fof(f697,plain,
    ( sigma = age(sK1,sK3)
    | is_aligned(sK1,sK3) ),
    inference(resolution,[],[f128,f458]) ).

fof(f458,plain,
    ! [X0] :
      ( ~ smaller(age(sK1,X0),sigma)
      | is_aligned(sK1,X0) ),
    inference(resolution,[],[f436,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( smaller(X0,X1)
     => greater(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( smaller(X0,X1)
    <=> greater(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f436,plain,
    ! [X0] :
      ( ~ greater(sigma,age(sK1,X0))
      | is_aligned(sK1,X0) ),
    inference(resolution,[],[f235,f68]) ).

fof(f128,plain,
    ( smaller(age(sK1,sK3),sigma)
    | sigma = age(sK1,sK3) ),
    inference(resolution,[],[f59,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( X0 = X1
      | smaller(X0,X1)
      | ~ smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( X0 = X1
      | smaller(X0,X1)
      | ~ smaller_or_equal(X0,X1) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( X0 = X1
      | smaller(X0,X1)
      | ~ smaller_or_equal(X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
     => ( X0 = X1
        | smaller(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( X0 = X1
        | smaller(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f59,plain,
    smaller_or_equal(age(sK1,sK3),sigma),
    inference(cnf_transformation,[],[f50]) ).

fof(f235,plain,
    ! [X0] :
      ( greater(age(sK1,X0),sigma)
      | is_aligned(sK1,X0) ),
    inference(subsumption_resolution,[],[f234,f56]) ).

fof(f234,plain,
    ! [X0] :
      ( is_aligned(sK1,X0)
      | greater(age(sK1,X0),sigma)
      | ~ organization(sK1) ),
    inference(subsumption_resolution,[],[f233,f58]) ).

fof(f233,plain,
    ! [X0] :
      ( is_aligned(sK1,X0)
      | greater(age(sK1,X0),sigma)
      | zero != age(sK1,sK2)
      | ~ organization(sK1) ),
    inference(resolution,[],[f206,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( greater(age(X0,X2),sigma)
      | ~ dissimilar(X0,X1,X2)
      | zero != age(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f206,plain,
    ! [X0] :
      ( dissimilar(sK1,sK2,X0)
      | is_aligned(sK1,X0) ),
    inference(resolution,[],[f125,f81]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X1,X2)
      | ~ sP0(X2,X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f125,plain,
    ! [X0] :
      ( sP0(X0,sK1,sK2)
      | is_aligned(sK1,X0) ),
    inference(subsumption_resolution,[],[f122,f56]) ).

fof(f122,plain,
    ! [X0] :
      ( sP0(X0,sK1,sK2)
      | is_aligned(sK1,X0)
      | ~ organization(sK1) ),
    inference(resolution,[],[f119,f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( sP0(X0,X1,X2)
      | is_aligned(X1,X0)
      | ~ is_aligned(X1,X2)
      | ~ organization(X1) ),
    inference(cnf_transformation,[],[f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT054+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n008.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   : Wed Jun 19 18:14:24 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28453)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.22/0.42  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28450)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.42  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28449)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.22/0.42  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28448)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.22/0.43  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (28447)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.22/0.45  % (28447)First to succeed.
% 0.22/0.46  % (28447)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28446"
% 0.22/0.46  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (28452)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.22/0.46  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (28451)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.46  % (28446)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (28447)Refutation found. Thanks to Tanya!
% 0.22/0.46  % SZS status Theorem for theBenchmark
% 0.22/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (28447)------------------------------
% 0.22/0.46  % (28447)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.46  % (28447)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.46  % (28447)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (28447)Memory used [KB]: 1282
% 0.22/0.46  % (28447)Time elapsed: 0.030 s
% 0.22/0.46  % (28447)Instructions burned: 34 (million)
% 0.22/0.46  % (28447)------------------------------
% 0.22/0.46  % (28447)------------------------------
% 0.22/0.46  % (28446)Success in time 0.084 s
%------------------------------------------------------------------------------