TSTP Solution File: SET054+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 May  3 02:59:33 EDT 2024

% Result   : Theorem 1.03s 1.12s
% Output   : CNFRefutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   28 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   28 (  14   ~;   7   |;   5   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subclass(X1,X0)
        & subclass(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).

fof(f44,conjecture,
    ! [X0] : subclass(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).

fof(f45,negated_conjecture,
    ~ ! [X0] : subclass(X0,X0),
    inference(negated_conjecture,[],[f44]) ).

fof(f84,plain,
    ? [X0] : ~ subclass(X0,X0),
    inference(ennf_transformation,[],[f45]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f89]) ).

fof(f133,plain,
    ( ? [X0] : ~ subclass(X0,X0)
   => ~ subclass(sK6,sK6) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ~ subclass(sK6,sK6),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f84,f133]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( subclass(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f222,plain,
    ~ subclass(sK6,sK6),
    inference(cnf_transformation,[],[f134]) ).

fof(f260,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f140]) ).

cnf(c_54,plain,
    subclass(X0,X0),
    inference(cnf_transformation,[],[f260]) ).

cnf(c_128,negated_conjecture,
    ~ subclass(sK6,sK6),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_197,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_128,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:33:20 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.03/1.12  % SZS status Started for theBenchmark.p
% 1.03/1.12  % SZS status Theorem for theBenchmark.p
% 1.03/1.12  
% 1.03/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.03/1.12  
% 1.03/1.12  ------  iProver source info
% 1.03/1.12  
% 1.03/1.12  git: date: 2024-05-02 19:28:25 +0000
% 1.03/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.03/1.12  git: non_committed_changes: false
% 1.03/1.12  
% 1.03/1.12  ------ Parsing...
% 1.03/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.03/1.12  
% 1.03/1.12  ------ Preprocessing...
% 1.03/1.12  
% 1.03/1.12  % SZS status Theorem for theBenchmark.p
% 1.03/1.12  
% 1.03/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.03/1.12  
% 1.03/1.12  
%------------------------------------------------------------------------------