TSTP Solution File: SEU275+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU275+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.rt871RV4ZS true

% Computer : n004.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 19:11:46 EDT 2023

% Result   : Theorem 0.14s 0.65s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   37 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  169 (  33   ~;  27   |;   4   &;  99   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   2 con; 0-1 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(reflexive_type,type,
    reflexive: $i > $o ).

thf(antisymmetric_type,type,
    antisymmetric: $i > $o ).

thf(ordinal_type,type,
    ordinal: $i > $o ).

thf(connected_type,type,
    connected: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(inclusion_relation_type,type,
    inclusion_relation: $i > $i ).

thf(transitive_type,type,
    transitive: $i > $o ).

thf(well_ordering_type,type,
    well_ordering: $i > $o ).

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

thf(well_founded_relation_type,type,
    well_founded_relation: $i > $o ).

thf(t6_wellord2,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ( well_founded_relation @ ( inclusion_relation @ A ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( well_founded_relation @ ( inclusion_relation @ X0 ) )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[t6_wellord2]) ).

thf(dt_k1_wellord2,axiom,
    ! [A: $i] : ( relation @ ( inclusion_relation @ A ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_wellord2]) ).

thf(t4_wellord2,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ( connected @ ( inclusion_relation @ A ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( connected @ ( inclusion_relation @ X0 ) )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[t4_wellord2]) ).

thf(t5_wellord2,axiom,
    ! [A: $i] : ( antisymmetric @ ( inclusion_relation @ A ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] : ( antisymmetric @ ( inclusion_relation @ X0 ) ),
    inference(cnf,[status(esa)],[t5_wellord2]) ).

thf(t3_wellord2,axiom,
    ! [A: $i] : ( transitive @ ( inclusion_relation @ A ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] : ( transitive @ ( inclusion_relation @ X0 ) ),
    inference(cnf,[status(esa)],[t3_wellord2]) ).

thf(t2_wellord2,axiom,
    ! [A: $i] : ( reflexive @ ( inclusion_relation @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] : ( reflexive @ ( inclusion_relation @ X0 ) ),
    inference(cnf,[status(esa)],[t2_wellord2]) ).

thf(d4_wellord1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( well_ordering @ A )
      <=> ( ( reflexive @ A )
          & ( transitive @ A )
          & ( antisymmetric @ A )
          & ( connected @ A )
          & ( well_founded_relation @ A ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( reflexive @ X0 )
      | ~ ( transitive @ X0 )
      | ~ ( antisymmetric @ X0 )
      | ~ ( connected @ X0 )
      | ~ ( well_founded_relation @ X0 )
      | ( well_ordering @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d4_wellord1]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( inclusion_relation @ X0 ) )
      | ( well_ordering @ ( inclusion_relation @ X0 ) )
      | ~ ( well_founded_relation @ ( inclusion_relation @ X0 ) )
      | ~ ( connected @ ( inclusion_relation @ X0 ) )
      | ~ ( antisymmetric @ ( inclusion_relation @ X0 ) )
      | ~ ( transitive @ ( inclusion_relation @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ~ ( antisymmetric @ ( inclusion_relation @ X0 ) )
      | ~ ( connected @ ( inclusion_relation @ X0 ) )
      | ~ ( well_founded_relation @ ( inclusion_relation @ X0 ) )
      | ( well_ordering @ ( inclusion_relation @ X0 ) )
      | ~ ( relation @ ( inclusion_relation @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl25]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( inclusion_relation @ X0 ) )
      | ( well_ordering @ ( inclusion_relation @ X0 ) )
      | ~ ( well_founded_relation @ ( inclusion_relation @ X0 ) )
      | ~ ( connected @ ( inclusion_relation @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl27]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( well_founded_relation @ ( inclusion_relation @ X0 ) )
      | ( well_ordering @ ( inclusion_relation @ X0 ) )
      | ~ ( relation @ ( inclusion_relation @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl29]) ).

thf(t7_wellord2,conjecture,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ( well_ordering @ ( inclusion_relation @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ordinal @ A )
       => ( well_ordering @ ( inclusion_relation @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t7_wellord2]) ).

thf(zip_derived_cl19,plain,
    ~ ( well_ordering @ ( inclusion_relation @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( relation @ ( inclusion_relation @ sk__1 ) )
    | ~ ( well_founded_relation @ ( inclusion_relation @ sk__1 ) )
    | ~ ( ordinal @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl19]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( ordinal @ sk__1 )
    | ~ ( well_founded_relation @ ( inclusion_relation @ sk__1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl33]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( ordinal @ sk__1 )
    | ~ ( ordinal @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl34]) ).

thf(zip_derived_cl36,plain,
    ~ ( ordinal @ sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl18,plain,
    ordinal @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rt871RV4ZS true
% 0.09/0.29  % Computer : n004.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Wed Aug 23 14:03:53 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.09/0.29  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.09/0.29  % Python version: Python 3.6.8
% 0.09/0.30  % Running in FO mode
% 0.14/0.52  % Total configuration time : 435
% 0.14/0.52  % Estimated wc time : 1092
% 0.14/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.60  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.62  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.63  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.64  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.64  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.64  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.64  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.65  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.14/0.65  % Solved by fo/fo6_bce.sh.
% 0.14/0.65  % BCE start: 20
% 0.14/0.65  % BCE eliminated: 0
% 0.14/0.65  % PE start: 20
% 0.14/0.65  logic: neq
% 0.14/0.65  % PE eliminated: 16
% 0.14/0.65  % done 2 iterations in 0.009s
% 0.14/0.65  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.14/0.65  % SZS output start Refutation
% See solution above
% 0.14/0.65  
% 0.14/0.65  
% 0.14/0.65  % Terminating...
% 1.32/0.74  % Runner terminated.
% 1.32/0.75  % Zipperpin 1.5 exiting
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