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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN986+1.002 : TPTP v9.2.0. 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.92bcUXEbir true

% Computer : n031.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 05:06:08 PM UTC 2025

% Result   : Theorem 1.14s 0.62s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  161 (  13   ~;   9   |;   4   &; 133   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-3 aty)
%            Number of variables   :   35 (   0   ^;  29   !;   6   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(succ_type,type,
    succ: $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(r_type,type,
    r: $i > $i > $i > $o ).

thf(hyp1,axiom,
    ! [Y: $i] : ( r @ Y @ zero @ ( succ @ Y ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r @ X0 @ zero @ ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[hyp1]) ).

thf(hyp2,axiom,
    ! [Y: $i,X: $i,Z: $i,Z1: $i] :
      ( ( r @ Y @ X @ Z )
     => ( ( r @ Z @ X @ Z1 )
       => ( r @ Y @ ( succ @ X ) @ Z1 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r @ X0 @ X1 @ X2 )
      | ( r @ X0 @ ( succ @ X1 ) @ X3 )
      | ~ ( r @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[hyp2]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( r @ X0 @ ( succ @ zero ) @ X1 )
      | ~ ( r @ ( succ @ X0 ) @ zero @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( r @ X0 @ zero @ ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[hyp1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] : ( r @ X0 @ ( succ @ zero ) @ ( succ @ ( succ @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r @ X0 @ X1 @ X2 )
      | ( r @ X0 @ ( succ @ X1 ) @ X3 )
      | ~ ( r @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[hyp2]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( r @ X0 @ ( succ @ ( succ @ zero ) ) @ X1 )
      | ~ ( r @ ( succ @ ( succ @ X0 ) ) @ ( succ @ zero ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).

thf(zip_derived_cl10_003,plain,
    ! [X0: $i] : ( r @ X0 @ ( succ @ zero ) @ ( succ @ ( succ @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ zero ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: $i] : ( r @ X0 @ ( succ @ zero ) @ ( succ @ ( succ @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(ck,conjecture,
    ? [Z2: $i,Z1: $i,Z0: $i] :
      ( ( r @ zero @ Z1 @ Z0 )
      & ( r @ zero @ Z2 @ Z1 )
      & ( r @ zero @ zero @ Z2 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Z2: $i,Z1: $i,Z0: $i] :
        ( ( r @ zero @ Z1 @ Z0 )
        & ( r @ zero @ Z2 @ Z1 )
        & ( r @ zero @ zero @ Z2 ) ),
    inference('cnf.neg',[status(esa)],[ck]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r @ zero @ X0 @ X1 )
      | ~ ( r @ zero @ zero @ X0 )
      | ~ ( r @ zero @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( r @ zero @ zero @ ( succ @ zero ) )
      | ~ ( r @ zero @ ( succ @ ( succ @ zero ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i] : ( r @ X0 @ zero @ ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[hyp1]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ~ ( r @ zero @ ( succ @ ( succ @ zero ) ) @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SYN986+1.002 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.92bcUXEbir true
% 0.09/0.31  % Computer : n031.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Wed Oct  1 13:41:23 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.32  % Python version: Python 3.6.8
% 0.09/0.32  % Running in FO mode
% 0.16/0.53  % Total configuration time : 435
% 0.16/0.53  % Estimated wc time : 1092
% 0.16/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.79/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.79/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.79/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.62  % Solved by fo/fo1_av.sh.
% 1.14/0.62  % done 12 iterations in 0.009s
% 1.14/0.62  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.14/0.62  % SZS output start Refutation
% See solution above
% 1.14/0.62  
% 1.14/0.62  
% 1.14/0.63  % Terminating...
% 1.25/0.73  % Runner terminated.
% 1.43/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------