TSTP Solution File: SEU198+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e0ZQ7sQhdG 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 19:11:09 EDT 2023

% Result   : Theorem 0.20s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   23 (   7 unt;   8 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  112 (   8   ~;   5   |;   1   &;  92   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

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

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

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

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

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

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

thf(sk__type,type,
    sk_: $i > $i > $i ).

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

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

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t116_relat_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( subset @ ( relation_rng @ ( relation_rng_restriction @ A @ B ) ) @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ( subset @ ( relation_rng @ ( relation_rng_restriction @ A @ B ) ) @ A ) ),
    inference('cnf.neg',[status(esa)],[t116_relat_1]) ).

thf(zip_derived_cl33,plain,
    ~ ( subset @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190,plain,
    ~ ( in @ ( sk_ @ sk__8 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) @ sk__8 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).

thf(t115_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ A @ ( relation_rng @ ( relation_rng_restriction @ B @ C ) ) )
      <=> ( ( in @ A @ B )
          & ( in @ A @ ( relation_rng @ C ) ) ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( relation_rng @ ( relation_rng_restriction @ X1 @ X2 ) ) )
      | ( in @ X0 @ X1 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t115_relat_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl33_001,plain,
    ~ ( subset @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    in @ ( sk_ @ sk__8 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl33]) ).

thf(zip_derived_cl333,plain,
    ( ~ ( relation @ sk__9 )
    | ( in @ ( sk_ @ sk__8 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl193]) ).

thf(zip_derived_cl32,plain,
    relation @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    in @ ( sk_ @ sk__8 @ ( relation_rng @ ( relation_rng_restriction @ sk__8 @ sk__9 ) ) ) @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl32]) ).

thf(zip_derived_cl352,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl337]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e0ZQ7sQhdG true
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 18:47:58 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/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
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.78  % Solved by fo/fo3_bce.sh.
% 0.20/0.78  % BCE start: 43
% 0.20/0.78  % BCE eliminated: 0
% 0.20/0.78  % PE start: 43
% 0.20/0.78  logic: eq
% 0.20/0.78  % PE eliminated: -3
% 0.20/0.78  % done 86 iterations in 0.032s
% 0.20/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78  % SZS output start Refutation
% See solution above
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.78  % Terminating...
% 1.55/0.87  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------