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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7ezvPSmbyo true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:37:00 PM UTC 2026

% Result   : Theorem 0.46s 0.75s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   78 (  23   ~;  12   |;   4   &;  39   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  10   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p101_type,type,
    p101: $i > $o ).

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

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p201_type,type,
    p201: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ~ ( ( p201 @ X )
                        & ( p101 @ X ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ( ( p201 @ X )
              & ( p101 @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( ( p201 @ X )
                      & ( p101 @ X ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ( ( p201 @ X )
            & ( p101 @ X ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl3,plain,
    p101 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    p201 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( p201 @ X1 )
      | ~ ( p101 @ X1 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( p101 @ sk_ )
      | ~ ( r1 @ X0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 @ sk_ )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ~ ( r1 @ sk_ @ sk_ ),
    inference(eq_fact,[status(thm)],[zip_derived_cl6]) ).

thf(reflexivity,axiom,
    ! [X: $i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl8,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7ezvPSmbyo true
% 0.09/0.36  % Computer : n007.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sat Sep  5 16:31:40 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  % Running portfolio for 300 s
% 0.09/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.37  % Python version: Python 3.12.3
% 0.13/0.37  % Running in FO mode
% 0.44/0.65  % Total configuration time : 435
% 0.44/0.65  % Estimated wc time : 1092
% 0.44/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.75  % Solved by fo/fo6_bce.sh.
% 0.46/0.75  % BCE start: 5
% 0.46/0.75  % BCE eliminated: 0
% 0.46/0.75  % PE start: 5
% 0.46/0.75  logic: neq
% 0.46/0.75  % PE eliminated: 2
% 0.46/0.75  % done 2 iterations in 0.006s
% 0.46/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.46/0.75  % SZS output start Refutation
% See solution above
% 0.46/0.75  
% 0.46/0.75  
% 0.46/0.75  % Terminating...
% 0.46/0.79  % Runner terminated.
% 1.34/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------