%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 11:31:18 EDT 2023

% Result   : Theorem 1.12s 1.12s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   35 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  18   ~;   3   |;  15   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   16 (   1 sgn;   8   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,conjecture,
    ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
      & aSet0(slbdtrb0(sz00)) )
   => ( slcrc0 = slbdtrb0(sz00)
      | ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f53,negated_conjecture,
    ~ ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
        & aSet0(slbdtrb0(sz00)) )
     => ( slcrc0 = slbdtrb0(sz00)
        | ~ ? [X0] : aElementOf0(X0,slbdtrb0(sz00)) ) ),
    inference(negated_conjecture,[],[f52]) ).

fof(f60,plain,
    ~ ( ( ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
        & aSet0(slbdtrb0(sz00)) )
     => ( slcrc0 = slbdtrb0(sz00)
        | ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00)) ) ),
    inference(rectify,[],[f53]) ).

fof(f128,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f129,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & ! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(flattening,[],[f128]) ).

fof(f180,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(rectify,[],[f129]) ).

fof(f181,plain,
    ( ? [X0] : aElementOf0(X0,slbdtrb0(sz00))
   => aElementOf0(sK13,slbdtrb0(sz00)) ),
    introduced(choice_axiom,[]) ).

fof(f182,plain,
    ( slcrc0 != slbdtrb0(sz00)
    & aElementOf0(sK13,slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & aSet0(slbdtrb0(sz00)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f180,f181]) ).

fof(f274,plain,
    ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f182]) ).

fof(f275,plain,
    aElementOf0(sK13,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_140,negated_conjecture,
    aElementOf0(sK13,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f275]) ).

cnf(c_141,negated_conjecture,
    ~ aElementOf0(X0,slbdtrb0(sz00)),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_232,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_140,c_141]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 16:25:56 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.12/1.12  % SZS status Started for theBenchmark.p
% 1.12/1.12  % SZS status Theorem for theBenchmark.p
% 1.12/1.12  
% 1.12/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.12/1.12  
% 1.12/1.12  ------  iProver source info
% 1.12/1.12  
% 1.12/1.12  git: date: 2023-05-31 18:12:56 +0000
% 1.12/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.12/1.12  git: non_committed_changes: false
% 1.12/1.12  git: last_make_outside_of_git: false
% 1.12/1.12  
% 1.12/1.12  ------ Parsing...
% 1.12/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.12/1.12  
% 1.12/1.12  ------ Preprocessing...
% 1.12/1.12  
% 1.12/1.12  % SZS status Theorem for theBenchmark.p
% 1.12/1.12  
% 1.12/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.12  
% 1.12/1.12  
%------------------------------------------------------------------------------