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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM760^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ejNM0FcvrG 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 04:48:16 PM UTC 2025

% Result   : Theorem 1.57s 1.12s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   66 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  257 (  29   ~;  26   |;   0   &; 194   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   69 (   0   ^;  69   !;   0   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frac_type,type,
    frac: $tType ).

thf(u_type,type,
    u: frac ).

thf(eq_type,type,
    eq: frac > frac > $o ).

thf(y_type,type,
    y: frac ).

thf(pf_type,type,
    pf: frac > frac > frac ).

thf(lessf_type,type,
    lessf: frac > frac > $o ).

thf(moref_type,type,
    moref: frac > frac > $o ).

thf(z_type,type,
    z: frac ).

thf(x_type,type,
    x: frac ).

thf(satz58,axiom,
    ! [Xx: frac,Xy: frac] : ( eq @ ( pf @ Xx @ Xy ) @ ( pf @ Xy @ Xx ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: frac,X1: frac] : ( eq @ ( pf @ X0 @ X1 ) @ ( pf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz58]) ).

thf(satz61,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac] :
      ( ( moref @ Xx @ Xy )
     => ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( moref @ X0 @ X1 )
      | ( moref @ ( pf @ X0 @ X2 ) @ ( pf @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz61]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: frac,X1: frac] : ( eq @ ( pf @ X0 @ X1 ) @ ( pf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz58]) ).

thf(satz44,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
      ( ( moref @ Xx @ Xy )
     => ( ( eq @ Xx @ Xz )
       => ( ( eq @ Xy @ Xu )
         => ( moref @ Xz @ Xu ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( eq @ X0 @ X1 )
      | ~ ( moref @ X0 @ X2 )
      | ~ ( eq @ X2 @ X3 )
      | ( moref @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[satz44]) ).

thf(zip_derived_cl37,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ( moref @ ( pf @ X1 @ X0 ) @ X2 )
      | ~ ( eq @ X3 @ X2 )
      | ~ ( moref @ ( pf @ X0 @ X1 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl59,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( moref @ X2 @ X1 )
      | ~ ( eq @ ( pf @ X1 @ X0 ) @ X3 )
      | ( moref @ ( pf @ X0 @ X2 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl37]) ).

thf(zip_derived_cl67,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ( moref @ ( pf @ X1 @ X2 ) @ ( pf @ X1 @ X0 ) )
      | ~ ( moref @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl59]) ).

thf(satz42,axiom,
    ! [Xx: frac,Xy: frac] :
      ( ( moref @ Xx @ Xy )
     => ( lessf @ Xy @ Xx ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: frac,X1: frac] :
      ( ( lessf @ X0 @ X1 )
      | ~ ( moref @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz42]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( moref @ X0 @ X1 )
      | ( moref @ ( pf @ X0 @ X2 ) @ ( pf @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz61]) ).

thf(zip_derived_cl4_003,plain,
    ! [X0: frac,X1: frac] :
      ( ( lessf @ X0 @ X1 )
      | ~ ( moref @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz42]) ).

thf(satz50,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac] :
      ( ( lessf @ Xx @ Xy )
     => ( ( lessf @ Xy @ Xz )
       => ( lessf @ Xx @ Xz ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( lessf @ X0 @ X1 )
      | ( lessf @ X0 @ X2 )
      | ~ ( lessf @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[satz50]) ).

thf(zip_derived_cl13,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( moref @ X0 @ X1 )
      | ~ ( lessf @ X0 @ X2 )
      | ( lessf @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl19,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( moref @ X2 @ X1 )
      | ( lessf @ ( pf @ X1 @ X0 ) @ X3 )
      | ~ ( lessf @ ( pf @ X2 @ X0 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl69,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( moref @ X0 @ ( pf @ X2 @ X1 ) )
      | ( lessf @ ( pf @ X3 @ X1 ) @ X0 )
      | ~ ( moref @ X2 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl19]) ).

thf(zip_derived_cl79,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( moref @ X2 @ X0 )
      | ~ ( moref @ X1 @ X3 )
      | ( lessf @ ( pf @ X3 @ X0 ) @ ( pf @ X1 @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl69]) ).

thf(satz43,axiom,
    ! [Xx: frac,Xy: frac] :
      ( ( lessf @ Xx @ Xy )
     => ( moref @ Xy @ Xx ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: frac,X1: frac] :
      ( ( moref @ X0 @ X1 )
      | ~ ( lessf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz43]) ).

thf(zip_derived_cl85,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( moref @ X1 @ X3 )
      | ~ ( moref @ X0 @ X2 )
      | ( moref @ ( pf @ X1 @ X0 ) @ ( pf @ X3 @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl2]) ).

thf(satz64,conjecture,
    moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ),
    inference('cnf.neg',[status(esa)],[satz64]) ).

thf(zip_derived_cl8,plain,
    ~ ( moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( moref @ z @ u )
    | ~ ( moref @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl8]) ).

thf(n,axiom,
    moref @ z @ u ).

thf(zip_derived_cl1,plain,
    moref @ z @ u,
    inference(cnf,[status(esa)],[n]) ).

thf(m,axiom,
    moref @ x @ y ).

thf(zip_derived_cl0,plain,
    moref @ x @ y,
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl99,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl1,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21  % Problem  : NUM760^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.22  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ejNM0FcvrG true
% 0.12/0.43  % Computer : n031.cluster.edu
% 0.12/0.43  % Model    : x86_64 x86_64
% 0.12/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43  % Memory   : 8042.1875MB
% 0.12/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.43  % CPULimit : 300
% 0.12/0.43  % WCLimit  : 300
% 0.12/0.43  % DateTime : Wed Oct  1 16:16:38 EDT 2025
% 0.12/0.44  % CPUTime  : 
% 0.12/0.44  % Running portfolio for 300 s
% 0.12/0.44  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44  % Number of cores: 8
% 0.12/0.44  % Python version: Python 3.6.8
% 0.12/0.44  % Running in HO mode
% 0.32/0.78  % Total configuration time : 828
% 0.32/0.78  % Estimated wc time : 1656
% 0.32/0.78  % Estimated cpu time (8 cpus) : 207.0
% 0.33/1.00  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.33/1.01  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.33/1.02  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.33/1.02  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.33/1.04  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.33/1.04  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.33/1.05  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.33/1.06  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.57/1.12  % Solved by lams/40_c.s.sh.
% 1.57/1.12  % done 59 iterations in 0.071s
% 1.57/1.12  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.57/1.12  % SZS output start Refutation
% See solution above
% 1.57/1.12  
% 1.57/1.12  
% 1.57/1.12  % Terminating...
% 1.69/1.30  % Runner terminated.
% 1.75/1.33  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------