TSTP Solution File: SEU248+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU248+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.QYDc5Y6oVp true

% Computer : n019.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 19:11:35 EDT 2023

% Result   : Theorem 1.32s 1.00s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   44 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   76 (  11 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  362 (  44   ~;  29   |;   1   &; 276   @)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   61 (   0   ^;  60   !;   1   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_rng_restriction_type,type,
    relation_rng_restriction: $i > $i > $i ).

thf(sk__8_type,type,
    sk__8: $i ).

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

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

thf(in_type,type,
    in: $i > $i > $o ).

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i > $i > $i ).

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

thf(l29_wellord1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( subset @ ( relation_dom @ ( relation_rng_restriction @ A @ B ) ) @ ( relation_dom @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ( subset @ ( relation_dom @ ( relation_rng_restriction @ A @ B ) ) @ ( relation_dom @ B ) ) ),
    inference('cnf.neg',[status(esa)],[l29_wellord1]) ).

thf(zip_derived_cl34,plain,
    ~ ( subset @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) @ ( relation_dom @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k8_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl26_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl34_002,plain,
    ~ ( subset @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) @ ( relation_dom @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl218,plain,
    ~ ( in @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ ( relation_dom @ sk__8 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl13]) ).

thf(d4_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_dom @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( relation_dom @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d4_relat_1]) ).

thf(zip_derived_cl467,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_dom @ sk__8 )
       != ( relation_dom @ X0 ) )
      | ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl18]) ).

thf(zip_derived_cl627,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__8 )
      | ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X0 ) @ sk__8 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl467]) ).

thf(zip_derived_cl33,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ! [X0: $i] :
      ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X0 ) @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl627,zip_derived_cl33]) ).

thf(d12_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ! [C: $i] :
          ( ( relation @ C )
         => ( ( C
              = ( relation_rng_restriction @ A @ B ) )
          <=> ! [D: $i,E: $i] :
                ( ( in @ ( ordered_pair @ D @ E ) @ C )
              <=> ( ( in @ E @ A )
                  & ( in @ ( ordered_pair @ D @ E ) @ B ) ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relation @ X0 )
      | ( X0
       != ( relation_rng_restriction @ X1 @ X2 ) )
      | ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
      | ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[d12_relat_1]) ).

thf(zip_derived_cl651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ( X1
       != ( relation_rng_restriction @ X2 @ sk__8 ) )
      | ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X0 ) @ X1 )
      | ~ ( relation @ sk__8 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl628,zip_derived_cl7]) ).

thf(zip_derived_cl33_003,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl668,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ( X1
       != ( relation_rng_restriction @ X2 @ sk__8 ) )
      | ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X0 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl33]) ).

thf(zip_derived_cl709,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 ) @ ( relation_rng_restriction @ X0 @ sk__8 ) )
      | ~ ( relation @ ( relation_rng_restriction @ X0 @ sk__8 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl668]) ).

thf(zip_derived_cl843,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ sk__8 )
      | ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 ) @ ( relation_rng_restriction @ X0 @ sk__8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl709]) ).

thf(zip_derived_cl33_004,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl847,plain,
    ! [X0: $i,X1: $i] :
      ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 ) @ ( relation_rng_restriction @ X0 @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl843,zip_derived_cl33]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( relation_dom @ X0 ) )
      | ( in @ ( ordered_pair @ X2 @ ( sk__5 @ X2 @ X0 ) ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d4_relat_1]) ).

thf(zip_derived_cl925,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( relation_dom @ ( relation_rng_restriction @ X0 @ sk__8 ) ) )
      | ~ ( in @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 )
      | ~ ( relation @ ( relation_rng_restriction @ X0 @ sk__8 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl847,zip_derived_cl17]) ).

thf(zip_derived_cl945,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ sk__8 )
      | ( X1
       != ( relation_dom @ ( relation_rng_restriction @ X0 @ sk__8 ) ) )
      | ~ ( in @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl925]) ).

thf(zip_derived_cl33_005,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl949,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( relation_dom @ ( relation_rng_restriction @ X0 @ sk__8 ) ) )
      | ~ ( in @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl945,zip_derived_cl33]) ).

thf(zip_derived_cl956,plain,
    ! [X0: $i] :
      ~ ( in @ ( sk__2 @ ( relation_dom @ sk__8 ) @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) ) @ ( relation_dom @ ( relation_rng_restriction @ X0 @ sk__8 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl949]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl995,plain,
    subset @ ( relation_dom @ ( relation_rng_restriction @ sk__7 @ sk__8 ) ) @ ( relation_dom @ sk__8 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl14]) ).

thf(zip_derived_cl1020,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl995]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QYDc5Y6oVp true
% 0.13/0.35  % Computer : n019.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 : Wed Aug 23 16:41:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/1.00  % Solved by fo/fo13.sh.
% 1.32/1.00  % done 248 iterations in 0.185s
% 1.32/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/1.00  % SZS output start Refutation
% See solution above
% 1.32/1.00  
% 1.32/1.00  
% 1.32/1.00  % Terminating...
% 1.63/1.07  % Runner terminated.
% 1.63/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------