TSTP Solution File: MGT043+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT043+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 : 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 17:51:08 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   61 (  15 unt;   0 def)
%            Number of atoms       :  277 (  69 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  328 ( 112   ~;  94   |;  90   &)
%                                         (   4 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  101 (  92   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f296,plain,
    $false,
    inference(subsumption_resolution,[],[f125,f291]) ).

fof(f291,plain,
    smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,sK2)),
    inference(subsumption_resolution,[],[f290,f66]) ).

fof(f66,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | ( X0 != X1
        & ~ greater(X0,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( greater_or_equal(X1,X0)
      | ( X0 != X1
        & ~ greater(X1,X0) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | X0 = X1 )
     => greater_or_equal(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( greater_or_equal(X1,X0)
    <=> ( greater(X1,X0)
        | X0 = X1 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] :
      ( greater_or_equal(X0,X1)
    <=> ( X0 = X1
        | greater(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).

fof(f290,plain,
    ( ~ greater_or_equal(position(sK1,sK0),position(sK1,sK0))
    | smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,sK2)) ),
    inference(forward_demodulation,[],[f289,f113]) ).

fof(f113,plain,
    position(sK1,sK0) = position(sK1,sK2),
    inference(unit_resulting_resolution,[],[f52,f49,f57]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X2)
      | external_ties(X2,X1) != external_ties(X2,X0)
      | position(X2,X1) = position(X2,X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X2)
      | ( ( external_ties(X2,X1) != external_ties(X2,X0)
          | position(X2,X1) = position(X2,X0) )
        & ( greater(position(X2,X0),position(X2,X1))
          | ~ greater(external_ties(X2,X0),external_ties(X2,X1)) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0,X2] :
      ( ~ organization(X2)
      | ( ( external_ties(X2,X1) != external_ties(X2,X0)
          | position(X2,X1) = position(X2,X0) )
        & ( greater(position(X2,X1),position(X2,X0))
          | ~ greater(external_ties(X2,X1),external_ties(X2,X0)) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X2,X1,X0] :
      ( organization(X2)
     => ( ( greater(external_ties(X2,X1),external_ties(X2,X0))
         => greater(position(X2,X1),position(X2,X0)) )
        & ( external_ties(X2,X1) = external_ties(X2,X0)
         => position(X2,X1) = position(X2,X0) ) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3,X4,X0] :
      ( organization(X0)
     => ( ( greater(external_ties(X0,X4),external_ties(X0,X3))
         => greater(position(X0,X4),position(X0,X3)) )
        & ( external_ties(X0,X4) = external_ties(X0,X3)
         => position(X0,X4) = position(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).

fof(f49,plain,
    external_ties(sK1,sK2) = external_ties(sK1,sK0),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( stock_of_knowledge(sK1,sK0) = stock_of_knowledge(sK1,sK2)
    & ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK0))
    & organization(sK1)
    & ~ has_immunity(sK1,sK0)
    & ~ has_immunity(sK1,sK2)
    & external_ties(sK1,sK2) = external_ties(sK1,sK0)
    & greater(internal_friction(sK1,sK2),internal_friction(sK1,sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f36]) ).

fof(f36,plain,
    ( ? [X0,X1,X2] :
        ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X0)
        & ~ greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
        & organization(X1)
        & ~ has_immunity(X1,X0)
        & ~ has_immunity(X1,X2)
        & external_ties(X1,X0) = external_ties(X1,X2)
        & greater(internal_friction(X1,X2),internal_friction(X1,X0)) )
   => ( stock_of_knowledge(sK1,sK0) = stock_of_knowledge(sK1,sK2)
      & ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK0))
      & organization(sK1)
      & ~ has_immunity(sK1,sK0)
      & ~ has_immunity(sK1,sK2)
      & external_ties(sK1,sK2) = external_ties(sK1,sK0)
      & greater(internal_friction(sK1,sK2),internal_friction(sK1,sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ? [X0,X1,X2] :
      ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X0)
      & ~ greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
      & organization(X1)
      & ~ has_immunity(X1,X0)
      & ~ has_immunity(X1,X2)
      & external_ties(X1,X0) = external_ties(X1,X2)
      & greater(internal_friction(X1,X2),internal_friction(X1,X0)) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ? [X1,X2,X0] :
      ( ~ greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
      & ~ has_immunity(X1,X2)
      & stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X0)
      & greater(internal_friction(X1,X2),internal_friction(X1,X0))
      & organization(X1)
      & external_ties(X1,X0) = external_ties(X1,X2)
      & ~ has_immunity(X1,X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X1,X2,X0] :
        ( ( ~ has_immunity(X1,X2)
          & stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X0)
          & greater(internal_friction(X1,X2),internal_friction(X1,X0))
          & organization(X1)
          & external_ties(X1,X0) = external_ties(X1,X2)
          & ~ has_immunity(X1,X0) )
       => greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0)) ),
    inference(rectify,[],[f11]) ).

fof(f11,negated_conjecture,
    ~ ! [X3,X0,X4] :
        ( ( organization(X0)
          & stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
          & ~ has_immunity(X0,X4)
          & external_ties(X0,X4) = external_ties(X0,X3)
          & greater(internal_friction(X0,X4),internal_friction(X0,X3))
          & ~ has_immunity(X0,X3) )
       => greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ),
    inference(negated_conjecture,[],[f10]) ).

fof(f10,conjecture,
    ! [X3,X0,X4] :
      ( ( organization(X0)
        & stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
        & ~ has_immunity(X0,X4)
        & external_ties(X0,X4) = external_ties(X0,X3)
        & greater(internal_friction(X0,X4),internal_friction(X0,X3))
        & ~ has_immunity(X0,X3) )
     => greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).

fof(f52,plain,
    organization(sK1),
    inference(cnf_transformation,[],[f37]) ).

fof(f289,plain,
    ( ~ greater_or_equal(position(sK1,sK0),position(sK1,sK2))
    | smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,sK2)) ),
    inference(subsumption_resolution,[],[f280,f50]) ).

fof(f50,plain,
    ~ has_immunity(sK1,sK2),
    inference(cnf_transformation,[],[f37]) ).

fof(f280,plain,
    ( has_immunity(sK1,sK2)
    | ~ greater_or_equal(position(sK1,sK0),position(sK1,sK2))
    | smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,sK2)) ),
    inference(resolution,[],[f96,f169]) ).

fof(f169,plain,
    greater(capability(sK1,sK0),capability(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f111,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | ~ smaller(X1,X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( smaller(X1,X0)
        | ~ greater(X0,X1) )
      & ( greater(X0,X1)
        | ~ smaller(X1,X0) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X1,X0] :
      ( ( smaller(X0,X1)
        | ~ greater(X1,X0) )
      & ( greater(X1,X0)
        | ~ smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

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

fof(f111,plain,
    smaller(capability(sK1,sK2),capability(sK1,sK0)),
    inference(subsumption_resolution,[],[f110,f67]) ).

fof(f67,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        & ~ smaller(X0,X1) )
      | smaller_or_equal(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | smaller(X0,X1) )
     => smaller_or_equal(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

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

fof(f110,plain,
    ( smaller(capability(sK1,sK2),capability(sK1,sK0))
    | ~ smaller_or_equal(stock_of_knowledge(sK1,sK0),stock_of_knowledge(sK1,sK0)) ),
    inference(forward_demodulation,[],[f109,f54]) ).

fof(f54,plain,
    stock_of_knowledge(sK1,sK0) = stock_of_knowledge(sK1,sK2),
    inference(cnf_transformation,[],[f37]) ).

fof(f109,plain,
    ( smaller(capability(sK1,sK2),capability(sK1,sK0))
    | ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK0)) ),
    inference(subsumption_resolution,[],[f102,f52]) ).

fof(f102,plain,
    ( ~ organization(sK1)
    | smaller(capability(sK1,sK2),capability(sK1,sK0))
    | ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK0)) ),
    inference(resolution,[],[f48,f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
      | ~ organization(X1)
      | smaller(capability(X1,X2),capability(X1,X0))
      | ~ greater(internal_friction(X1,X2),internal_friction(X1,X0)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
          | greater(capability(X1,X2),capability(X1,X0))
          | ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0)) )
        & ( smaller(capability(X1,X2),capability(X1,X0))
          | ~ greater(internal_friction(X1,X2),internal_friction(X1,X0))
          | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0)) )
        & ( internal_friction(X1,X0) != internal_friction(X1,X2)
          | capability(X1,X2) = capability(X1,X0)
          | stock_of_knowledge(X1,X2) != stock_of_knowledge(X1,X0) ) )
      | ~ organization(X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ! [X0,X2,X1] :
      ( ( ( ~ greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
          | greater(capability(X2,X1),capability(X2,X0))
          | ~ smaller_or_equal(internal_friction(X2,X1),internal_friction(X2,X0)) )
        & ( smaller(capability(X2,X1),capability(X2,X0))
          | ~ greater(internal_friction(X2,X1),internal_friction(X2,X0))
          | ~ smaller_or_equal(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0)) )
        & ( internal_friction(X2,X1) != internal_friction(X2,X0)
          | capability(X2,X0) = capability(X2,X1)
          | stock_of_knowledge(X2,X1) != stock_of_knowledge(X2,X0) ) )
      | ~ organization(X2) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X2,X1,X0] :
      ( ( ( smaller(capability(X2,X1),capability(X2,X0))
          | ~ greater(internal_friction(X2,X1),internal_friction(X2,X0))
          | ~ smaller_or_equal(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0)) )
        & ( greater(capability(X2,X1),capability(X2,X0))
          | ~ greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
          | ~ smaller_or_equal(internal_friction(X2,X1),internal_friction(X2,X0)) )
        & ( capability(X2,X0) = capability(X2,X1)
          | internal_friction(X2,X1) != internal_friction(X2,X0)
          | stock_of_knowledge(X2,X1) != stock_of_knowledge(X2,X0) ) )
      | ~ organization(X2) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X2,X1,X0] :
      ( organization(X2)
     => ( ( ( greater(internal_friction(X2,X1),internal_friction(X2,X0))
            & smaller_or_equal(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0)) )
         => smaller(capability(X2,X1),capability(X2,X0)) )
        & ( ( greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
            & smaller_or_equal(internal_friction(X2,X1),internal_friction(X2,X0)) )
         => greater(capability(X2,X1),capability(X2,X0)) )
        & ( ( internal_friction(X2,X1) = internal_friction(X2,X0)
            & stock_of_knowledge(X2,X1) = stock_of_knowledge(X2,X0) )
         => capability(X2,X0) = capability(X2,X1) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3,X4,X0] :
      ( organization(X0)
     => ( ( ( smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3))
            & greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
         => greater(capability(X0,X4),capability(X0,X3)) )
        & ( ( greater(internal_friction(X0,X4),internal_friction(X0,X3))
            & smaller_or_equal(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
         => smaller(capability(X0,X4),capability(X0,X3)) )
        & ( ( stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
            & internal_friction(X0,X4) = internal_friction(X0,X3) )
         => capability(X0,X4) = capability(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).

fof(f48,plain,
    greater(internal_friction(sK1,sK2),internal_friction(sK1,sK0)),
    inference(cnf_transformation,[],[f37]) ).

fof(f96,plain,
    ! [X1] :
      ( ~ greater(capability(sK1,sK0),capability(sK1,X1))
      | has_immunity(sK1,X1)
      | ~ greater_or_equal(position(sK1,sK0),position(sK1,X1))
      | smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,X1)) ),
    inference(subsumption_resolution,[],[f88,f52]) ).

fof(f88,plain,
    ! [X1] :
      ( has_immunity(sK1,X1)
      | ~ greater(capability(sK1,sK0),capability(sK1,X1))
      | ~ organization(sK1)
      | smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,X1))
      | ~ greater_or_equal(position(sK1,sK0),position(sK1,X1)) ),
    inference(resolution,[],[f51,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( has_immunity(X2,X1)
      | smaller(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0))
      | ~ greater(capability(X2,X1),capability(X2,X0))
      | ~ greater_or_equal(position(X2,X1),position(X2,X0))
      | has_immunity(X2,X0)
      | ~ organization(X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( ( position(X2,X1) != position(X2,X0)
          | hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X0)
          | capability(X2,X0) != capability(X2,X1) )
        & ( smaller(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0))
          | ~ greater_or_equal(capability(X2,X1),capability(X2,X0))
          | ~ greater(position(X2,X1),position(X2,X0)) )
        & ( ~ greater(capability(X2,X1),capability(X2,X0))
          | smaller(hazard_of_mortality(X2,X1),hazard_of_mortality(X2,X0))
          | ~ greater_or_equal(position(X2,X1),position(X2,X0)) ) )
      | ~ organization(X2)
      | has_immunity(X2,X1)
      | has_immunity(X2,X0) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X1,X2,X0] :
      ( ( ( position(X0,X1) != position(X0,X2)
          | hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          | capability(X0,X2) != capability(X0,X1) )
        & ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
          | ~ greater(position(X0,X2),position(X0,X1)) )
        & ( ~ greater(capability(X0,X2),capability(X0,X1))
          | smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater_or_equal(position(X0,X2),position(X0,X1)) ) )
      | ~ organization(X0)
      | has_immunity(X0,X2)
      | has_immunity(X0,X1) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X1,X2,X0] :
      ( ( ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          | position(X0,X1) != position(X0,X2)
          | capability(X0,X2) != capability(X0,X1) )
        & ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater(position(X0,X2),position(X0,X1))
          | ~ greater_or_equal(capability(X0,X2),capability(X0,X1)) )
        & ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater(capability(X0,X2),capability(X0,X1))
          | ~ greater_or_equal(position(X0,X2),position(X0,X1)) ) )
      | has_immunity(X0,X2)
      | has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X1,X2,X0] :
      ( ( ~ has_immunity(X0,X2)
        & ~ has_immunity(X0,X1)
        & organization(X0) )
     => ( ( ( position(X0,X1) = position(X0,X2)
            & capability(X0,X2) = capability(X0,X1) )
         => hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
        & ( ( greater(position(X0,X2),position(X0,X1))
            & greater_or_equal(capability(X0,X2),capability(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
        & ( ( greater(capability(X0,X2),capability(X0,X1))
            & greater_or_equal(position(X0,X2),position(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3,X4] :
      ( ( organization(X0)
        & ~ has_immunity(X0,X4)
        & ~ has_immunity(X0,X3) )
     => ( ( ( greater_or_equal(position(X0,X4),position(X0,X3))
            & greater(capability(X0,X4),capability(X0,X3)) )
         => smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) )
        & ( ( greater(position(X0,X4),position(X0,X3))
            & greater_or_equal(capability(X0,X4),capability(X0,X3)) )
         => smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3)) )
        & ( ( position(X0,X4) = position(X0,X3)
            & capability(X0,X4) = capability(X0,X3) )
         => hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).

fof(f51,plain,
    ~ has_immunity(sK1,sK0),
    inference(cnf_transformation,[],[f37]) ).

fof(f125,plain,
    ~ smaller(hazard_of_mortality(sK1,sK0),hazard_of_mortality(sK1,sK2)),
    inference(resolution,[],[f53,f45]) ).

fof(f53,plain,
    ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK0)),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 02:41:20 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.19/0.50  % (4914)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (4915)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)
% 0.19/0.51  % (4918)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (4927)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52  % (4912)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)
% 0.19/0.52  % (4930)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (4922)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (4915)First to succeed.
% 0.19/0.53  % (4912)Instruction limit reached!
% 0.19/0.53  % (4912)------------------------------
% 0.19/0.53  % (4912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4910)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)
% 0.19/0.53  % (4910)Instruction limit reached!
% 0.19/0.53  % (4910)------------------------------
% 0.19/0.53  % (4910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4910)Termination reason: Unknown
% 0.19/0.53  % (4910)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (4910)Memory used [KB]: 5884
% 0.19/0.53  % (4910)Time elapsed: 0.123 s
% 0.19/0.53  % (4910)Instructions burned: 3 (million)
% 0.19/0.53  % (4910)------------------------------
% 0.19/0.53  % (4910)------------------------------
% 0.19/0.53  % (4918)Instruction limit reached!
% 0.19/0.53  % (4918)------------------------------
% 0.19/0.53  % (4918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4918)Termination reason: Unknown
% 0.19/0.53  % (4918)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (4918)Memory used [KB]: 6012
% 0.19/0.53  % (4918)Time elapsed: 0.125 s
% 0.19/0.53  % (4918)Instructions burned: 12 (million)
% 0.19/0.53  % (4918)------------------------------
% 0.19/0.53  % (4918)------------------------------
% 0.19/0.53  % (4913)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53  % (4909)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (4933)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53  % (4934)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (4915)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (4915)------------------------------
% 0.19/0.53  % (4915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4915)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (4915)Memory used [KB]: 6140
% 0.19/0.53  % (4915)Time elapsed: 0.122 s
% 0.19/0.53  % (4915)Instructions burned: 12 (million)
% 0.19/0.53  % (4915)------------------------------
% 0.19/0.53  % (4915)------------------------------
% 0.19/0.53  % (4907)Success in time 0.181 s
%------------------------------------------------------------------------------