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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV389+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7evCOx0lR8 true

% Computer : n002.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 05:00:59 PM UTC 2025

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   99 (  11   ~;   5   |;   1   &;  79   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

thf(check_cpq_type,type,
    check_cpq: $i > $o ).

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

thf(ok_type,type,
    ok: $i > $o ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

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

thf(removemin_cpq_eff_type,type,
    removemin_cpq_eff: $i > $i ).

thf(l25_l40,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( ( check_cpq @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) )
        & ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) )
     => ( check_cpq @ ( triple @ U @ V @ W ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( check_cpq @ ( triple @ X0 @ X1 @ X2 ) )
      | ~ ( ok @ ( removemin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l25_l40]) ).

thf(l25_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
     => ( ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) )
        | ~ ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
       => ( ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) )
          | ~ ( ok @ ( removemin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[l25_co]) ).

thf(zip_derived_cl11,plain,
    ok @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( check_cpq @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ) )
    | ( check_cpq @ ( triple @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).

thf(zip_derived_cl10,plain,
    check_cpq @ ( removemin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ~ ( check_cpq @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl10,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWV389+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7evCOx0lR8 true
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 12:49:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77  % Solved by fo/fo4.sh.
% 0.56/0.77  % done 8 iterations in 0.008s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.62/0.86  % Runner terminated.
% 0.62/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------