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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM662^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tvAeVpSFaz true

% Computer : n024.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 04:47:52 PM UTC 2025

% Result   : Theorem 0.57s 0.69s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   48 (  10   ~;   0   |;   0   &;  38   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(sk__1_type,type,
    sk__1: nat ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(y_type,type,
    y: nat ).

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(sk__type,type,
    sk_: nat ).

thf(k,axiom,
    ~ ! [Xx: nat] :
        ( z
       != ( pl @ y @ Xx ) ) ).

thf(zip_derived_cl1,plain,
    ( z
    = ( pl @ y @ sk__1 ) ),
    inference(cnf,[status(esa)],[k]) ).

thf(l,axiom,
    ~ ! [Xx_0: nat] :
        ( y
       != ( pl @ x @ Xx_0 ) ) ).

thf(zip_derived_cl0,plain,
    ( y
    = ( pl @ x @ sk_ ) ),
    inference(cnf,[status(esa)],[l]) ).

thf(satz5,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( pl @ ( pl @ Xx @ Xy ) @ Xz )
      = ( pl @ Xx @ ( pl @ Xy @ Xz ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( pl @ ( pl @ X0 @ X1 ) @ X2 )
      = ( pl @ X0 @ ( pl @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz5]) ).

thf(zip_derived_cl8,plain,
    ! [X0: nat] :
      ( ( pl @ y @ X0 )
      = ( pl @ x @ ( pl @ sk_ @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(satz15,conjecture,
    ~ ! [Xx_0: nat] :
        ( z
       != ( pl @ x @ Xx_0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ! [Xx_0: nat] :
      ( z
     != ( pl @ x @ Xx_0 ) ),
    inference('cnf.neg',[status(esa)],[satz15]) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat] :
      ( z
     != ( pl @ x @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: nat] :
      ( z
     != ( pl @ y @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl29,plain,
    z != z,
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl23]) ).

thf(zip_derived_cl32,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : NUM662^1 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.09  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tvAeVpSFaz true
% 0.09/0.29  % Computer : n024.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 Oct  1 16:33:53 EDT 2025
% 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
% 0.09/0.30  % Number of cores: 8
% 0.09/0.30  % Python version: Python 3.6.8
% 0.09/0.30  % Running in HO mode
% 0.48/0.60  % Total configuration time : 828
% 0.48/0.60  % Estimated wc time : 1656
% 0.48/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.65  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.67  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.69  % Solved by lams/40_c.s.sh.
% 0.57/0.69  % done 9 iterations in 0.010s
% 0.57/0.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.69  % SZS output start Refutation
% See solution above
% 0.57/0.69  
% 0.57/0.69  
% 0.57/0.69  % Terminating...
% 0.71/0.80  % Runner terminated.
% 0.71/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------