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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET654+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vKHs2TAFF2 true

% Computer : n011.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 Oct  2 04:52:35 PM UTC 2025

% Result   : Theorem 0.46s 0.72s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   75 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  263 (  24   ~;  21   |;   2   &; 194   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(set_type_type,type,
    set_type: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(domain_of_type,type,
    domain_of: $i > $i ).

thf(ilf_type_type,type,
    ilf_type: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(relation_type_type,type,
    relation_type: $i > $i > $i ).

thf(range_of_type,type,
    range_of: $i > $i ).

thf(prove_relset_1_16,conjecture,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( relation_type @ D @ B ) )
                 => ( ( subset @ B @ C )
                   => ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ilf_type @ B @ set_type )
       => ! [C: $i] :
            ( ( ilf_type @ C @ set_type )
           => ! [D: $i] :
                ( ( ilf_type @ D @ set_type )
               => ! [E: $i] :
                    ( ( ilf_type @ E @ ( relation_type @ D @ B ) )
                   => ( ( subset @ B @ C )
                     => ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_16]) ).

thf(zip_derived_cl44,plain,
    ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p3,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( relation_type @ D @ B ) )
                 => ( ( subset @ ( range_of @ E ) @ C )
                   => ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X3 ) )
      | ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( subset @ ( range_of @ X1 ) @ X0 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X3 @ set_type ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf(p22,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X3 ) )
      | ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( subset @ ( range_of @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ X0 ) )
      | ~ ( subset @ ( range_of @ sk__12 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl86]) ).

thf(zip_derived_cl44_003,plain,
    ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
             => ( ( subset @ ( domain_of @ D ) @ B )
                & ( subset @ ( range_of @ D ) @ C ) ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( subset @ ( range_of @ X1 ) @ X0 )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl39_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_005,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( range_of @ X1 ) @ X0 )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl59,plain,
    subset @ ( range_of @ sk__12 ) @ sk__9,
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl58]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ( ( ( subset @ B @ C )
                  & ( subset @ C @ D ) )
               => ( subset @ B @ D ) ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl39_006,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_007,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ~ ( subset @ sk__9 @ X0 )
      | ( subset @ ( range_of @ sk__12 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl46]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ X0 ) )
      | ~ ( subset @ sk__9 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl61]) ).

thf(zip_derived_cl43,plain,
    ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl107,plain,
    ~ ( subset @ sk__9 @ sk__10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl43]) ).

thf(zip_derived_cl42,plain,
    subset @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SET654+3 : TPTP v9.2.0. Released v2.2.0.
% 0.02/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vKHs2TAFF2 true
% 0.10/0.30  % Computer : n011.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Oct  1 13:22:08 EDT 2025
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in FO mode
% 0.45/0.56  % Total configuration time : 435
% 0.45/0.56  % Estimated wc time : 1092
% 0.45/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.72  % Solved by fo/fo1_av.sh.
% 0.46/0.72  % done 50 iterations in 0.032s
% 0.46/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.46/0.72  % SZS output start Refutation
% See solution above
% 0.46/0.72  
% 0.46/0.72  
% 0.46/0.72  % Terminating...
% 1.70/0.77  % Runner terminated.
% 1.70/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------