↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT042+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:02:41 PM UTC 2026

% Result   : Theorem 0.07s 0.37s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  179 (  16 unt;  13 def)
%            Number of atoms       :  614 (  71 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  721 ( 286   ~; 319   |;  84   &)
%                                         (  15 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  13 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  128 (   0 sgn 119   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( smaller(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
    <=> ( greater(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( smaller(X0,X1)
    <=> greater(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( organization(X0)
        & ~ has_immunity(X0,X1)
        & ~ has_immunity(X0,X2) )
     => ( ( ( 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)) )
        & ( ( greater_or_equal(capability(X0,X2),capability(X0,X1))
            & greater(position(X0,X2),position(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
        & ( ( capability(X0,X2) = capability(X0,X1)
            & position(X0,X2) = position(X0,X1) )
         => hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
            & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
         => greater(capability(X0,X2),capability(X0,X1)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
            & greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
         => smaller(capability(X0,X2),capability(X0,X1)) )
        & ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
            & internal_friction(X0,X2) = internal_friction(X0,X1) )
         => capability(X0,X2) = capability(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
         => greater(position(X0,X2),position(X0,X1)) )
        & ( external_ties(X0,X2) = external_ties(X0,X1)
         => position(X0,X2) = position(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).

fof(f10,conjecture,
    ! [X0,X1,X2] :
      ( ( organization(X0)
        & ~ has_immunity(X0,X1)
        & ~ has_immunity(X0,X2) )
     => ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
            & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
            & greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
        & ( ( greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
            & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
            & greater(external_ties(X0,X2),external_ties(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( organization(X0)
          & ~ has_immunity(X0,X1)
          & ~ has_immunity(X0,X2) )
       => ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
              & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
              & greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
           => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
          & ( ( greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
              & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
              & greater(external_ties(X0,X2),external_ties(X0,X1)) )
           => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f10]) ).

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

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ( ( 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))
          | ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
          | ~ greater(position(X0,X2),position(X0,X1)) )
        & ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          | capability(X0,X2) != capability(X0,X1)
          | position(X0,X2) != position(X0,X1) ) )
      | ~ organization(X0)
      | has_immunity(X0,X1)
      | has_immunity(X0,X2) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(capability(X0,X2),capability(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( capability(X0,X2) = capability(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(capability(X0,X2),capability(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( capability(X0,X2) = capability(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1) ) )
      | ~ organization(X0) ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(position(X0,X2),position(X0,X1))
          | ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
        & ( position(X0,X2) = position(X0,X1)
          | external_ties(X0,X2) != external_ties(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          & greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          & greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
        | ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          & greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          & greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
      & organization(X0)
      & ~ has_immunity(X0,X1)
      & ~ has_immunity(X0,X2) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          & greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          & greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
        | ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          & greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          & greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
      & organization(X0)
      & ~ has_immunity(X0,X1)
      & ~ has_immunity(X0,X2) ),
    inference(flattening,[],[f20]) ).

fof(f22,definition,
    ! [X1,X0,X2] :
      ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
        & greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
        & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
        & greater(external_ties(X0,X2),external_ties(X0,X1)) )
      | ~ sP0(X1,X0,X2) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          & greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          & greater_or_equal(external_ties(X0,X2),external_ties(X0,X1)) )
        | sP0(X1,X0,X2) )
      & organization(X0)
      & ~ has_immunity(X0,X1)
      & ~ has_immunity(X0,X2) ),
    inference(definition_folding,[],[f21,f22]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( smaller_or_equal(X0,X1)
        | ( ~ smaller(X0,X1)
          & X0 != X1 ) )
      & ( smaller(X0,X1)
        | X0 = X1
        | ~ smaller_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( smaller_or_equal(X0,X1)
        | ( ~ smaller(X0,X1)
          & X0 != X1 ) )
      & ( smaller(X0,X1)
        | X0 = X1
        | ~ smaller_or_equal(X0,X1) ) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) )
      & ( greater(X0,X1)
        | X0 = X1
        | ~ greater_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) )
      & ( greater(X0,X1)
        | X0 = X1
        | ~ greater_or_equal(X0,X1) ) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( smaller(X0,X1)
        | ~ greater(X1,X0) )
      & ( greater(X1,X0)
        | ~ smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f29,plain,
    ! [X1,X0,X2] :
      ( ( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
        & greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
        & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
        & greater(external_ties(X0,X2),external_ties(X0,X1)) )
      | ~ sP0(X1,X0,X2) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( ~ smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
        & greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
        & smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
        & greater(external_ties(X1,X2),external_ties(X1,X0)) )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f29]) ).

fof(f31,plain,
    ( ( ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
        & greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
        & smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
        & greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) )
      | sP0(sK2,sK1,sK3) )
    & organization(sK1)
    & ~ has_immunity(sK1,sK2)
    & ~ has_immunity(sK1,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f23]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ smaller_or_equal(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( X0 != X1
      | greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
      | ~ greater(position(X0,X2),position(X0,X1))
      | smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X1)
      | has_immunity(X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | ~ 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))
      | has_immunity(X0,X1)
      | has_immunity(X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
      | internal_friction(X0,X2) != internal_friction(X0,X1)
      | capability(X0,X2) = capability(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
      | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | smaller(capability(X0,X2),capability(X0,X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
      | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
      | greater(capability(X0,X2),capability(X0,X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | external_ties(X0,X2) != external_ties(X0,X1)
      | position(X0,X2) = position(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | ~ greater(external_ties(X0,X2),external_ties(X0,X1))
      | greater(position(X0,X2),position(X0,X1)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | greater(external_ties(X1,X2),external_ties(X1,X0)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f55,plain,
    ~ has_immunity(sK1,sK3),
    inference(cnf_transformation,[],[f31]) ).

fof(f56,plain,
    ~ has_immunity(sK1,sK2),
    inference(cnf_transformation,[],[f31]) ).

fof(f57,plain,
    organization(sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f58,plain,
    ( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
    | sP0(sK2,sK1,sK3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f59,plain,
    ( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | sP0(sK2,sK1,sK3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f60,plain,
    ( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
    | sP0(sK2,sK1,sK3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f61,plain,
    ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | sP0(sK2,sK1,sK3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f63,definition,
    ( spl4_1
  <=> sP0(sK2,sK1,sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f65,plain,
    ( sP0(sK2,sK1,sK3)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f67,definition,
    ( spl4_2
  <=> greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f69,plain,
    ( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f70,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f58,f67,f63]) ).

fof(f72,definition,
    ( spl4_3
  <=> smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f73,plain,
    ( ~ smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | spl4_3 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f74,plain,
    ( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f75,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f59,f72,f63]) ).

fof(f77,definition,
    ( spl4_4
  <=> greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

fof(f78,plain,
    ( ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
    | spl4_4 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f79,plain,
    ( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f80,plain,
    ( spl4_1
    | spl4_4 ),
    inference(avatar_split_clause,[],[f60,f77,f63]) ).

fof(f82,definition,
    ( spl4_5
  <=> smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f83,plain,
    ( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f84,plain,
    ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | spl4_5 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f85,plain,
    ( spl4_1
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f61,f82,f63]) ).

fof(f86,plain,
    ! [X0] : smaller_or_equal(X0,X0),
    inference(equality_resolution,[],[f33]) ).

fof(f87,plain,
    ! [X0] : greater_or_equal(X0,X0),
    inference(equality_resolution,[],[f36]) ).

fof(f93,plain,
    ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2)
    | smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | ~ spl4_3 ),
    inference(resolution,[],[f32,f74]) ).

fof(f96,definition,
    ( spl4_6
  <=> smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

fof(f98,plain,
    ( smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f100,definition,
    ( spl4_7
  <=> internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

fof(f102,plain,
    ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f103,plain,
    ( spl4_6
    | spl4_7
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f93,f72,f100,f96]) ).

fof(f105,plain,
    ( external_ties(sK1,sK3) = external_ties(sK1,sK2)
    | greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
    | ~ spl4_2 ),
    inference(resolution,[],[f35,f69]) ).

fof(f109,definition,
    ( spl4_8
  <=> greater(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

fof(f111,plain,
    ( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f113,definition,
    ( spl4_9
  <=> external_ties(sK1,sK3) = external_ties(sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

fof(f115,plain,
    ( external_ties(sK1,sK3) = external_ties(sK1,sK2)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f116,plain,
    ( spl4_8
    | spl4_9
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f105,f67,f113,f109]) ).

fof(f129,plain,
    ( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
    | ~ spl4_1 ),
    inference(resolution,[],[f51,f65]) ).

fof(f130,plain,
    ( spl4_8
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f129,f63,f109]) ).

fof(f139,plain,
    ( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | ~ spl4_1 ),
    inference(resolution,[],[f52,f65]) ).

fof(f140,plain,
    ( $false
    | ~ spl4_1
    | spl4_3 ),
    inference(forward_subsumption_resolution,[],[f139,f73]) ).

fof(f141,plain,
    ( ~ spl4_1
    | spl4_3 ),
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f143,plain,
    ( greater_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
    | ~ spl4_1 ),
    inference(resolution,[],[f53,f65]) ).

fof(f144,plain,
    ( greater(internal_friction(sK1,sK2),internal_friction(sK1,sK3))
    | ~ spl4_6 ),
    inference(resolution,[],[f98,f38]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( external_ties(sK1,X0) != external_ties(sK1,X1)
      | position(sK1,X0) = position(sK1,X1) ),
    inference(resolution,[],[f49,f57]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ greater(external_ties(sK1,X0),external_ties(sK1,X1))
      | greater(position(sK1,X0),position(sK1,X1)) ),
    inference(resolution,[],[f50,f57]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( internal_friction(sK1,X0) != internal_friction(sK1,X1)
      | stock_of_knowledge(sK1,X0) != stock_of_knowledge(sK1,X1)
      | capability(sK1,X0) = capability(sK1,X1) ),
    inference(resolution,[],[f46,f57]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ greater(internal_friction(sK1,X0),internal_friction(sK1,X1))
      | ~ smaller_or_equal(stock_of_knowledge(sK1,X0),stock_of_knowledge(sK1,X1))
      | smaller(capability(sK1,X0),capability(sK1,X1)) ),
    inference(resolution,[],[f47,f57]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ greater(stock_of_knowledge(sK1,X0),stock_of_knowledge(sK1,X1))
      | ~ smaller_or_equal(internal_friction(sK1,X0),internal_friction(sK1,X1))
      | greater(capability(sK1,X0),capability(sK1,X1)) ),
    inference(resolution,[],[f48,f57]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ greater(position(sK1,X0),position(sK1,X1))
      | ~ greater_or_equal(capability(sK1,X0),capability(sK1,X1))
      | smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,X1))
      | has_immunity(sK1,X1)
      | has_immunity(sK1,X0) ),
    inference(resolution,[],[f44,f57]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ greater(capability(sK1,X0),capability(sK1,X1))
      | ~ greater_or_equal(position(sK1,X0),position(sK1,X1))
      | smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,X1))
      | has_immunity(sK1,X1)
      | has_immunity(sK1,X0) ),
    inference(resolution,[],[f45,f57]) ).

fof(f166,plain,
    ( greater(position(sK1,sK3),position(sK1,sK2))
    | ~ spl4_8 ),
    inference(resolution,[],[f153,f111]) ).

fof(f172,plain,
    ( greater_or_equal(position(sK1,sK3),position(sK1,sK2))
    | ~ spl4_8 ),
    inference(resolution,[],[f166,f37]) ).

fof(f177,plain,
    ( ~ smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
    | greater(capability(sK1,sK3),capability(sK1,sK2))
    | ~ spl4_4 ),
    inference(resolution,[],[f159,f79]) ).

fof(f180,plain,
    ( greater(capability(sK1,sK3),capability(sK1,sK2))
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(forward_subsumption_resolution,[],[f177,f74]) ).

fof(f184,plain,
    ( greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(resolution,[],[f180,f37]) ).

fof(f189,plain,
    ( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
    | smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_8 ),
    inference(resolution,[],[f163,f166]) ).

fof(f191,plain,
    ( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f189,f184]) ).

fof(f192,plain,
    ( has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f191,f84]) ).

fof(f193,plain,
    ( has_immunity(sK1,sK3)
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f192,f56]) ).

fof(f194,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f193,f55]) ).

fof(f195,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f197,definition,
    ( spl4_10
  <=> smaller(capability(sK1,sK2),capability(sK1,sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).

fof(f198,plain,
    ( ~ smaller(capability(sK1,sK2),capability(sK1,sK3))
    | spl4_10 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f199,plain,
    ( smaller(capability(sK1,sK2),capability(sK1,sK3))
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f205,plain,
    ( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f189,f84]) ).

fof(f206,plain,
    ( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
    | has_immunity(sK1,sK3)
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f205,f56]) ).

fof(f207,plain,
    ( ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2))
    | spl4_5
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f206,f55]) ).

fof(f214,definition,
    ( spl4_13
  <=> stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).

fof(f216,plain,
    ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f227,plain,
    ( ~ sP0(sK2,sK1,sK3)
    | ~ spl4_5 ),
    inference(resolution,[],[f83,f54]) ).

fof(f230,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_5 ),
    inference(forward_subsumption_resolution,[],[f227,f65]) ).

fof(f231,plain,
    ( ~ spl4_1
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f233,plain,
    ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2)
    | greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
    | ~ spl4_1 ),
    inference(resolution,[],[f143,f35]) ).

fof(f234,plain,
    ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2)
    | ~ spl4_1
    | spl4_4 ),
    inference(forward_subsumption_resolution,[],[f233,f78]) ).

fof(f235,plain,
    ( spl4_13
    | ~ spl4_1
    | spl4_4 ),
    inference(avatar_split_clause,[],[f234,f77,f63,f214]) ).

fof(f280,plain,
    ( greater(capability(sK1,sK3),capability(sK1,sK2))
    | ~ spl4_10 ),
    inference(resolution,[],[f199,f38]) ).

fof(f310,plain,
    ( ! [X0] :
        ( internal_friction(sK1,sK2) != internal_friction(sK1,X0)
        | stock_of_knowledge(sK1,sK3) != stock_of_knowledge(sK1,X0)
        | capability(sK1,X0) = capability(sK1,sK3) )
    | ~ spl4_7 ),
    inference(superposition,[],[f155,f102]) ).

fof(f311,plain,
    ( ! [X0] :
        ( internal_friction(sK1,sK2) != internal_friction(sK1,X0)
        | stock_of_knowledge(sK1,sK2) != stock_of_knowledge(sK1,X0)
        | capability(sK1,X0) = capability(sK1,sK3) )
    | ~ spl4_7
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f310,f216]) ).

fof(f331,plain,
    ( stock_of_knowledge(sK1,sK2) != stock_of_knowledge(sK1,sK2)
    | capability(sK1,sK2) = capability(sK1,sK3)
    | ~ spl4_7
    | ~ spl4_13 ),
    inference(equality_resolution,[],[f311]) ).

fof(f332,plain,
    ( capability(sK1,sK2) = capability(sK1,sK3)
    | ~ spl4_7
    | ~ spl4_13 ),
    inference(trivial_inequality_removal,[],[f331]) ).

fof(f333,plain,
    ( ~ greater_or_equal(capability(sK1,sK2),capability(sK1,sK2))
    | spl4_5
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_13 ),
    inference(superposition,[],[f207,f332]) ).

fof(f339,plain,
    ( $false
    | spl4_5
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_13 ),
    inference(forward_subsumption_resolution,[],[f333,f87]) ).

fof(f340,plain,
    ( spl4_5
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_13 ),
    inference(avatar_contradiction_clause,[],[f339]) ).

fof(f345,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK3))
    | smaller(capability(sK1,sK2),capability(sK1,sK3))
    | ~ spl4_6 ),
    inference(resolution,[],[f144,f157]) ).

fof(f363,plain,
    ( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
    | smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_10 ),
    inference(resolution,[],[f280,f165]) ).

fof(f371,plain,
    ( smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f363,f172]) ).

fof(f372,plain,
    ( has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | spl4_5
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f371,f84]) ).

fof(f373,plain,
    ( has_immunity(sK1,sK3)
    | spl4_5
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f372,f56]) ).

fof(f374,plain,
    ( $false
    | spl4_5
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f373,f55]) ).

fof(f375,plain,
    ( spl4_5
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f377,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK3))
    | ~ spl4_6
    | spl4_10 ),
    inference(forward_subsumption_resolution,[],[f345,f198]) ).

fof(f380,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK2))
    | ~ spl4_6
    | spl4_10
    | ~ spl4_13 ),
    inference(forward_demodulation,[],[f377,f216]) ).

fof(f381,plain,
    ( $false
    | ~ spl4_6
    | spl4_10
    | ~ spl4_13 ),
    inference(forward_subsumption_resolution,[],[f380,f86]) ).

fof(f382,plain,
    ( ~ spl4_6
    | spl4_10
    | ~ spl4_13 ),
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f427,plain,
    ( ! [X0] :
        ( external_ties(sK1,sK2) != external_ties(sK1,X0)
        | position(sK1,X0) = position(sK1,sK3) )
    | ~ spl4_9 ),
    inference(superposition,[],[f148,f115]) ).

fof(f430,plain,
    ( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
    | smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(resolution,[],[f180,f165]) ).

fof(f436,plain,
    ( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
    | has_immunity(sK1,sK2)
    | has_immunity(sK1,sK3)
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f430,f84]) ).

fof(f437,plain,
    ( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
    | has_immunity(sK1,sK3)
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f436,f56]) ).

fof(f438,plain,
    ( ~ greater_or_equal(position(sK1,sK3),position(sK1,sK2))
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f437,f55]) ).

fof(f462,definition,
    ( spl4_22
  <=> position(sK1,sK3) = position(sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).

fof(f463,plain,
    ( position(sK1,sK3) != position(sK1,sK2)
    | spl4_22 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( position(sK1,sK3) = position(sK1,sK2)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f471,plain,
    ( position(sK1,sK3) = position(sK1,sK2)
    | ~ spl4_9 ),
    inference(equality_resolution,[],[f427]) ).

fof(f553,plain,
    ( ~ greater_or_equal(position(sK1,sK2),position(sK1,sK2))
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_22 ),
    inference(superposition,[],[f438,f464]) ).

fof(f570,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_22 ),
    inference(forward_subsumption_resolution,[],[f553,f87]) ).

fof(f571,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_22 ),
    inference(avatar_contradiction_clause,[],[f570]) ).

fof(f585,plain,
    ( $false
    | ~ spl4_9
    | spl4_22 ),
    inference(forward_subsumption_resolution,[],[f471,f463]) ).

fof(f586,plain,
    ( ~ spl4_9
    | spl4_22 ),
    inference(avatar_contradiction_clause,[],[f585]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f70]) ).

cnf(s2,plain,
    ( spl4_1
    | spl4_3 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s3,plain,
    ( spl4_1
    | spl4_4 ),
    inference(sat_conversion,[],[f80]) ).

cnf(s4,plain,
    ( spl4_1
    | ~ spl4_5 ),
    inference(sat_conversion,[],[f85]) ).

cnf(s5,plain,
    ( ~ spl4_3
    | spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f103]) ).

cnf(s6,plain,
    ( ~ spl4_2
    | spl4_8
    | spl4_9 ),
    inference(sat_conversion,[],[f116]) ).

cnf(s7,plain,
    ( ~ spl4_1
    | spl4_8 ),
    inference(sat_conversion,[],[f130]) ).

cnf(s9,plain,
    ( ~ spl4_1
    | spl4_3 ),
    inference(sat_conversion,[],[f141]) ).

cnf(s10,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_8 ),
    inference(sat_conversion,[],[f195]) ).

cnf(s16,plain,
    ( ~ spl4_1
    | ~ spl4_5 ),
    inference(sat_conversion,[],[f231]) ).

cnf(s17,plain,
    ( ~ spl4_1
    | spl4_4
    | spl4_13 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s22,plain,
    ( spl4_5
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s24,plain,
    ( spl4_5
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s26,plain,
    ( ~ spl4_6
    | spl4_10
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s36,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | ~ spl4_22 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s37,plain,
    ( ~ spl4_9
    | spl4_22 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s38,plain,
    spl4_1,
    inference(rat,[],[s37,s6,s36,s10,s1,s2,s3,s4]) ).

cnf(s39,plain,
    ~ spl4_5,
    inference(rat,[],[s16,s38]) ).

cnf(s40,plain,
    spl4_3,
    inference(rat,[],[s9,s38]) ).

cnf(s41,plain,
    spl4_8,
    inference(rat,[],[s7,s38]) ).

cnf(s42,plain,
    ~ spl4_10,
    inference(rat,[],[s24,s39,s41]) ).

cnf(s44,plain,
    ~ spl4_4,
    inference(rat,[],[s10,s40,s39,s41]) ).

cnf(s45,plain,
    spl4_13,
    inference(rat,[],[s17,s38,s44]) ).

cnf(s48,plain,
    ~ spl4_7,
    inference(rat,[],[s22,s39,s41,s45]) ).

cnf(s49,plain,
    ~ spl4_6,
    inference(rat,[],[s26,s42,s45]) ).

cnf(s50,plain,
    $false,
    inference(rat,[],[s5,s40,s48,s49]) ).

fof(f588,plain,
    $false,
    inference(avatar_sat_refutation,[],[s50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : MGT042+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31  % Computer : n012.cluster.edu
% 0.05/0.31  % Model    : x86_64 x86_64
% 0.05/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31  % Memory   : 8046.5625MB
% 0.05/0.31  % OS       : Linux 6.8.0-71-generic
% 0.05/0.31  % CPULimit : 300
% 0.05/0.31  % WCLimit  : 300
% 0.05/0.31  % DateTime : Sun Sep 27 17:25:50 UTC 2026
% 0.05/0.31  % CPUTime  : 
% 0.05/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33  Running first-order model finding
% 0.07/0.33  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.37  % (2610771)Will run a generic schedule for satisfiability detection.
% 0.07/0.37  % (2610777)% WARNING: option uhcvi not known.
% 0.07/0.37  % (2610778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1346879809:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37  % (2610776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1684462544_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37  % (2610779)dis+10_1_sil=32000:sp=arity:random_seed=990765719:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37  % (2610777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=493877712:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37  % (2610780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=612284594:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37  % (2610781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=526464513:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37  % (2610782)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1545740408:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37  % TRYING [1]
% 0.07/0.37  % TRYING [2]
% 0.07/0.37  % TRYING [3]
% 0.07/0.37  % (2610781) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2610771-2610781"...
% 0.07/0.37  % TRYING [4]
% 0.07/0.37  % (2610781)...printing done.
% 0.07/0.37  % (2610781)Refutation found. Thanks to Tanya!
% 0.07/0.37  % SZS status Theorem for theBenchmark
% 0.07/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37  % (2610781)------------------------------
% 0.07/0.37  % (2610781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37  % (2610781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37  % (2610781)CaDiCaL version: 2.1.3
% 0.07/0.37  % (2610781)Termination reason: Refutation
% 0.07/0.37  % (2610781)Time elapsed: 0.010 s
% 0.07/0.37  % (2610781)Peak memory usage: 12 MB
% 0.07/0.37  % (2610781)Instructions burned: 26 (million)
% 0.07/0.37  % (2610771)Success in time 0.038 s
% 0.07/0.37  % Vampire exiting
%------------------------------------------------------------------------------