TSTP Solution File: MGT049+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Thu Aug 31 09:14:47 EDT 2023

% Result   : Theorem 0.80s 1.16s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   65 (  29 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   61 (  21   ~;  12   |;  16   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   56 (   8 sgn;  33   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => ( ( external_ties(X0,X4) = external_ties(X0,X3)
         => position(X0,X4) = position(X0,X3) )
        & ( greater(external_ties(X0,X4),external_ties(X0,X3))
         => greater(position(X0,X4),position(X0,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).

fof(f8,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => external_ties(X0,X4) = external_ties(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).

fof(f9,conjecture,
    ! [X0,X3,X4] :
      ( ( greater(age(X0,X4),age(X0,X3))
        & organization(X0) )
     => position(X0,X4) = position(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X3,X4] :
        ( ( greater(age(X0,X4),age(X0,X3))
          & organization(X0) )
       => position(X0,X4) = position(X0,X3) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( external_ties(X0,X2) = external_ties(X0,X1)
         => position(X0,X2) = position(X0,X1) )
        & ( greater(external_ties(X0,X2),external_ties(X0,X1))
         => greater(position(X0,X2),position(X0,X1)) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => external_ties(X0,X2) = external_ties(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f13,plain,
    ~ ! [X0,X1,X2] :
        ( ( greater(age(X0,X2),age(X0,X1))
          & organization(X0) )
       => position(X0,X2) = position(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( ( position(X0,X2) = position(X0,X1)
          | external_ties(X0,X2) != external_ties(X0,X1) )
        & ( greater(position(X0,X2),position(X0,X1))
          | ~ greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( external_ties(X0,X2) = external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( position(X0,X2) != position(X0,X1)
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( position(X0,X2) != position(X0,X1)
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ( ? [X0,X1,X2] :
        ( position(X0,X2) != position(X0,X1)
        & greater(age(X0,X2),age(X0,X1))
        & organization(X0) )
   => ( position(sK0,sK2) != position(sK0,sK1)
      & greater(age(sK0,sK2),age(sK0,sK1))
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ( position(sK0,sK2) != position(sK0,sK1)
    & greater(age(sK0,sK2),age(sK0,sK1))
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f23]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( position(X0,X2) = position(X0,X1)
      | external_ties(X0,X2) != external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( external_ties(X0,X2) = external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f32,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f24]) ).

fof(f34,plain,
    position(sK0,sK2) != position(sK0,sK1),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_53,plain,
    ( external_ties(X0,X1) != external_ties(X0,X2)
    | ~ organization(X0)
    | position(X0,X1) = position(X0,X2) ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_55,plain,
    ( ~ organization(X0)
    | external_ties(X0,X1) = external_ties(X0,X2) ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_56,negated_conjecture,
    position(sK0,sK2) != position(sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_58,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_65,plain,
    ( ~ organization(X0)
    | position(X0,X1) = position(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_53,c_55,c_53]) ).

cnf(c_162,plain,
    ( X0 != sK0
    | position(X0,X1) = position(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_58]) ).

cnf(c_163,plain,
    position(sK0,X0) = position(sK0,X1),
    inference(unflattening,[status(thm)],[c_162]) ).

cnf(c_184,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_56,c_163]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.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 : Mon Aug 28 06:44:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.80/1.16  % SZS status Started for theBenchmark.p
% 0.80/1.16  % SZS status Theorem for theBenchmark.p
% 0.80/1.16  
% 0.80/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.80/1.16  
% 0.80/1.16  ------  iProver source info
% 0.80/1.16  
% 0.80/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.80/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.80/1.16  git: non_committed_changes: false
% 0.80/1.16  git: last_make_outside_of_git: false
% 0.80/1.16  
% 0.80/1.16  ------ Parsing...
% 0.80/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.80/1.16  
% 0.80/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s
% 0.80/1.16  
% 0.80/1.16  % SZS status Theorem for theBenchmark.p
% 0.80/1.16  
% 0.80/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.16  
% 0.80/1.16  
%------------------------------------------------------------------------------