↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM291+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ldJ1n9VjGl true

% Computer : n005.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 04:46:06 PM UTC 2025

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   1 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  103 (  13   ~;   7   |;   3   &;  78   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rdnn_type,type,
    rdnn: $i > $i ).

thf(rdn_pos_type,type,
    rdn_pos: $i > $i ).

thf(n2_type,type,
    n2: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $i > $o ).

thf(rdn_positive_less_type,type,
    rdn_positive_less: $i > $i > $o ).

thf(n3_type,type,
    n3: $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(n3_not_less_n2,conjecture,
    ~ ( less @ n3 @ n2 ) ).

thf(zf_stmt_0,negated_conjecture,
    less @ n3 @ n2,
    inference('cnf.neg',[status(esa)],[n3_not_less_n2]) ).

thf(zip_derived_cl142,plain,
    less @ n3 @ n2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(less_property,axiom,
    ! [X: $i,Y: $i] :
      ( ( less @ X @ Y )
    <=> ( ~ ( less @ Y @ X )
        & ( Y != X ) ) ) ).

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

thf(zip_derived_cl279,plain,
    ~ ( less @ n2 @ n3 ),
    inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl26]) ).

thf(rdn_positive_less23,axiom,
    rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ).

thf(zip_derived_cl12,plain,
    rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ),
    inference(cnf,[status(esa)],[rdn_positive_less23]) ).

thf(rdn2,axiom,
    rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) ).

thf(zip_derived_cl2,plain,
    rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
    inference(cnf,[status(esa)],[rdn2]) ).

thf(less_entry_point_pos_pos,axiom,
    ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
      ( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
        & ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
        & ( rdn_positive_less @ RDN_X @ RDN_Y ) )
     => ( less @ X @ Y ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X2 ) )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
      | ~ ( rdn_positive_less @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).

thf(zip_derived_cl296,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ X0 )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
      | ( less @ n2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl23]) ).

thf(zip_derived_cl318,plain,
    ! [X0: $i] :
      ( ( less @ n2 @ X0 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n3 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl296]) ).

thf(zip_derived_cl325,plain,
    ~ ( rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl318]) ).

thf(rdn3,axiom,
    rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) ).

thf(zip_derived_cl3,plain,
    rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ),
    inference(cnf,[status(esa)],[rdn3]) ).

thf(zip_derived_cl326,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM291+1 : TPTP v9.2.0. Released v3.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ldJ1n9VjGl true
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 16:37:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.49/0.62  % Total configuration time : 435
% 0.49/0.62  % Estimated wc time : 1092
% 0.49/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /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: 143
% 0.57/0.77  % BCE eliminated: 107
% 0.57/0.77  % PE start: 36
% 0.57/0.77  logic: eq
% 0.57/0.77  % PE eliminated: 2
% 0.57/0.77  % done 35 iterations in 0.043s
% 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...
% 1.58/0.83  % Runner terminated.
% 1.58/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------