%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 11:31:26 EDT 2023

% Result   : Theorem 1.04s 1.19s
% Output   : CNFRefutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   41 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   43 (  16   ~;   9   |;  14   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn;   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,axiom,
    ( xk = sbrdtbr0(xP)
    & aSubsetOf0(xP,xS)
    & ! [X0] :
        ( aElementOf0(X0,xP)
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2431) ).

fof(f73,conjecture,
    ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
    | ( xk = sbrdtbr0(xP)
      & ( aSubsetOf0(xP,xS)
        | ! [X0] :
            ( aElementOf0(X0,xP)
           => aElementOf0(X0,xS) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f74,negated_conjecture,
    ~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
      | ( xk = sbrdtbr0(xP)
        & ( aSubsetOf0(xP,xS)
          | ! [X0] :
              ( aElementOf0(X0,xP)
             => aElementOf0(X0,xS) ) ) ) ),
    inference(negated_conjecture,[],[f73]) ).

fof(f168,plain,
    ( xk = sbrdtbr0(xP)
    & aSubsetOf0(xP,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xP) ) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f169,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
    & ( xk != sbrdtbr0(xP)
      | ( ~ aSubsetOf0(xP,xS)
        & ? [X0] :
            ( ~ aElementOf0(X0,xS)
            & aElementOf0(X0,xP) ) ) ) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f240,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,xP) )
   => ( ~ aElementOf0(sK19,xS)
      & aElementOf0(sK19,xP) ) ),
    introduced(choice_axiom,[]) ).

fof(f241,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
    & ( xk != sbrdtbr0(xP)
      | ( ~ aSubsetOf0(xP,xS)
        & ~ aElementOf0(sK19,xS)
        & aElementOf0(sK19,xP) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f169,f240]) ).

fof(f413,plain,
    aSubsetOf0(xP,xS),
    inference(cnf_transformation,[],[f168]) ).

fof(f414,plain,
    xk = sbrdtbr0(xP),
    inference(cnf_transformation,[],[f168]) ).

fof(f417,plain,
    ( xk != sbrdtbr0(xP)
    | ~ aSubsetOf0(xP,xS) ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_219,plain,
    sbrdtbr0(xP) = xk,
    inference(cnf_transformation,[],[f414]) ).

cnf(c_220,plain,
    aSubsetOf0(xP,xS),
    inference(cnf_transformation,[],[f413]) ).

cnf(c_223,negated_conjecture,
    ( sbrdtbr0(xP) != xk
    | ~ aSubsetOf0(xP,xS) ),
    inference(cnf_transformation,[],[f417]) ).

cnf(c_249,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_223,c_219,c_220]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.16/0.35  % Computer : n012.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Fri Aug 25 15:08:26 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.04/1.19  % SZS status Started for theBenchmark.p
% 1.04/1.19  % SZS status Theorem for theBenchmark.p
% 1.04/1.19  
% 1.04/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.04/1.19  
% 1.04/1.19  ------  iProver source info
% 1.04/1.19  
% 1.04/1.19  git: date: 2023-05-31 18:12:56 +0000
% 1.04/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.04/1.19  git: non_committed_changes: false
% 1.04/1.19  git: last_make_outside_of_git: false
% 1.04/1.19  
% 1.04/1.19  ------ Parsing...
% 1.04/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.04/1.19  
% 1.04/1.19  ------ Preprocessing...
% 1.04/1.19  
% 1.04/1.19  % SZS status Theorem for theBenchmark.p
% 1.04/1.19  
% 1.04/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.04/1.19  
% 1.04/1.19  
%------------------------------------------------------------------------------