%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN976+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 : Fri Sep  1 03:15:01 EDT 2023

% Result   : Theorem 0.68s 1.16s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   26 (   9   ~;   3   |;   9   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (   1 sgn;  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ! [X1] :
            ( q(X1)
            & p(X1) )
        & ( g
          | f ) )
     => q(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ! [X1] :
              ( q(X1)
              & p(X1) )
          & ( g
            | f ) )
       => q(X0) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ! [X0] :
        ( ( ! [X1] : q(X1)
          & ( g
            | f ) )
       => q(X0) ),
    inference(pure_predicate_removal,[],[f2]) ).

fof(f4,plain,
    ~ ! [X0] :
        ( ! [X1] : q(X1)
       => q(X0) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ( ~ q(X0)
      & ! [X1] : q(X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ~ q(X0)
        & ! [X1] : q(X1) )
   => ( ~ q(sK0)
      & ! [X1] : q(X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ~ q(sK0)
    & ! [X1] : q(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f8,plain,
    ! [X1] : q(X1),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,plain,
    ~ q(sK0),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_49,negated_conjecture,
    ~ q(sK0),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_50,negated_conjecture,
    q(X0),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_51,plain,
    q(sK0),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_52,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_49,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN976+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 18:55:50 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.68/1.16  % SZS status Started for theBenchmark.p
% 0.68/1.16  % SZS status Theorem for theBenchmark.p
% 0.68/1.16  
% 0.68/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.68/1.16  
% 0.68/1.16  ------  iProver source info
% 0.68/1.16  
% 0.68/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.68/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.68/1.16  git: non_committed_changes: false
% 0.68/1.16  git: last_make_outside_of_git: false
% 0.68/1.16  
% 0.68/1.16  ------ Parsing...
% 0.68/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.68/1.16  
% 0.68/1.16  
% 0.68/1.16  ------ Preprocessing...
% 0.68/1.16  
% 0.68/1.16  % SZS status Theorem for theBenchmark.p
% 0.68/1.16  
% 0.68/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.68/1.16  
% 0.68/1.16  
%------------------------------------------------------------------------------