TSTP Solution File: SEU263+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rjnIOkDa5B true

% Computer : n023.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 19:11:41 EDT 2023

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   46 (   9 unt;  13 typ;   0 def)
%            Number of atoms       :   65 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  266 (  20   ~;  17   |;   3   &; 214   @)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :   67 (   0   ^;  67   !;   0   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(relation_type,type,
    relation: $i > $o ).

thf(relation_of2_type,type,
    relation_of2: $i > $i > $i > $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(relation_of2_as_subset_type,type,
    relation_of2_as_subset: $i > $i > $i > $o ).

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

thf(powerset_type,type,
    powerset: $i > $i ).

thf(d1_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2 @ C @ A @ B )
    <=> ( subset @ C @ ( cartesian_product2 @ A @ B ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation_of2 @ X0 @ X1 @ X2 )
      | ~ ( subset @ X0 @ ( cartesian_product2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_relset_1]) ).

thf(redefinition_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
    <=> ( relation_of2 @ C @ A @ B ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation_of2_as_subset @ X0 @ X1 @ X2 )
      | ~ ( relation_of2 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X2 @ ( cartesian_product2 @ X1 @ X0 ) )
      | ( relation_of2_as_subset @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).

thf(t14_relset_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( relation_of2_as_subset @ D @ C @ A )
     => ( ( subset @ ( relation_rng @ D ) @ B )
       => ( relation_of2_as_subset @ D @ C @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( relation_of2_as_subset @ D @ C @ A )
       => ( ( subset @ ( relation_rng @ D ) @ B )
         => ( relation_of2_as_subset @ D @ C @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t14_relset_1]) ).

thf(zip_derived_cl20,plain,
    ~ ( relation_of2_as_subset @ sk__6 @ sk__5 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ~ ( subset @ sk__6 @ ( cartesian_product2 @ sk__5 @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl20]) ).

thf(zip_derived_cl21,plain,
    subset @ ( relation_rng @ sk__6 ) @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    relation_of2_as_subset @ sk__6 @ sk__5 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
     => ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) )
      | ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[dt_m2_relset_1]) ).

thf(cc1_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) )
     => ( relation @ C ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation @ X0 )
      | ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[cc1_relset_1]) ).

thf(t21_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( subset @ A @ ( cartesian_product2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t21_relat_1]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X2 @ X1 ) ) )
      | ( subset @ X0 @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl23]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation_of2_as_subset @ X0 @ X2 @ X1 )
      | ( subset @ X0 @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl27]) ).

thf(zip_derived_cl46,plain,
    subset @ sk__6 @ ( cartesian_product2 @ ( relation_dom @ sk__6 ) @ ( relation_rng @ sk__6 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl32]) ).

thf(t1_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ B @ C ) )
     => ( subset @ A @ C ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X2 )
      | ( subset @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t1_xboole_1]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ( subset @ sk__6 @ X0 )
      | ~ ( subset @ ( cartesian_product2 @ ( relation_dom @ sk__6 ) @ ( relation_rng @ sk__6 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl22]) ).

thf(t119_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ C @ D ) )
     => ( subset @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X2 @ X3 )
      | ( subset @ ( cartesian_product2 @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[t119_zfmisc_1]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ sk__6 @ ( cartesian_product2 @ X1 @ X0 ) )
      | ~ ( subset @ ( relation_rng @ sk__6 ) @ X0 )
      | ~ ( subset @ ( relation_dom @ sk__6 ) @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl16]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ~ ( subset @ ( relation_dom @ sk__6 ) @ X0 )
      | ( subset @ sk__6 @ ( cartesian_product2 @ X0 @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl128]) ).

thf(zip_derived_cl19_001,plain,
    relation_of2_as_subset @ sk__6 @ sk__5 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t12_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
     => ( ( subset @ ( relation_dom @ C ) @ A )
        & ( subset @ ( relation_rng @ C ) @ B ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( relation_dom @ X0 ) @ X1 )
      | ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t12_relset_1]) ).

thf(zip_derived_cl42,plain,
    subset @ ( relation_dom @ sk__6 ) @ sk__5,
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl17]) ).

thf(zip_derived_cl160,plain,
    subset @ sk__6 @ ( cartesian_product2 @ sk__5 @ sk__4 ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl42]) ).

thf(zip_derived_cl164,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rjnIOkDa5B true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 18:50:43 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.50/0.65  % Total configuration time : 435
% 0.50/0.65  % Estimated wc time : 1092
% 0.50/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.77  % Solved by fo/fo3_bce.sh.
% 0.57/0.77  % BCE start: 26
% 0.57/0.77  % BCE eliminated: 0
% 0.57/0.77  % PE start: 26
% 0.57/0.77  logic: neq
% 0.57/0.77  % PE eliminated: -6
% 0.57/0.77  % done 67 iterations in 0.026s
% 0.57/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 0.58/0.85  % Runner terminated.
% 1.46/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------