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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU995^5 : 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.dfcUsGWGI1 true

% Computer : n016.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 04:56:58 PM UTC 2025

% Result   : Theorem 0.47s 0.98s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   59 (  12   ~;   0   |;   0   &;  45   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   60 (  60   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (  14   ^;  29   !;   2   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cV_type,type,
    cV: $i ).

thf(cU_type,type,
    cU: $i ).

thf(cTHM24_pme,conjecture,
    ( ( cU != cV )
   => ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
        ~ ! [Xx: $i > $i,Xy: $i > $i] :
            ( ( G @ Xx @ Xy )
            = ( G @ Xy @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( cU != cV )
     => ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
          ~ ! [Xx: $i > $i,Xy: $i > $i] :
              ( ( G @ Xx @ Xy )
              = ( G @ Xy @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM24_pme]) ).

thf(zip_derived_cl1,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i,X2: $i > $i] :
      ( ( X0 @ X2 @ X1 )
      = ( X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i > $i,X1: $i > $i,X2: $i > $i,X3: $i] :
      ( ( X0 @ X2 @ X1 @ X3 )
      = ( X0 @ X1 @ X2 @ X3 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i,X1: $i > $i,X2: $i > $i,X3: $i] :
      ( ( ^ [Y0: $i > $i,Y1: $i > $i,Y2: $i] : ( X0 @ Y0 @ Y1 )
        @ X2
        @ X1
        @ X3 )
      = ( ^ [Y0: $i > $i,Y1: $i > $i,Y2: $i] : ( X0 @ Y0 @ Y1 )
        @ X1
        @ X2
        @ X3 ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i,X1: $i > $i,X2: $i > $i] :
      ( ( X0 @ X2 @ X1 )
      = ( X0 @ X1 @ X2 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    cU != cV,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i,X1: $i > $i] :
      ( ( ^ [Y0: $i > $i,Y1: $i > $i] : ( Y0 @ ( X0 @ Y0 @ Y1 ) )
        @ X1
        @ ^ [Y0: $i] : cU )
     != cV ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: ( $i > $i ) > ( $i > $i ) > $i,X1: $i > $i] :
      ( ( X1
        @ ( X0 @ X1
          @ ^ [Y0: $i] : cU ) )
     != cV ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( X1
        @ ( ^ [Y0: $i > $i,Y1: $i > $i] : X0
          @ X1
          @ ^ [Y0: $i] : cU ) )
     != cV ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( X1 @ X0 )
     != cV ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i] : X1
        @ X0 )
     != cV ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl23,plain,
    ! [X1: $i] : ( X1 != cV ),
    inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl24,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.19  % Problem  : SEU995^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.19  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dfcUsGWGI1 true
% 0.10/0.39  % Computer : n016.cluster.edu
% 0.10/0.39  % Model    : x86_64 x86_64
% 0.10/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39  % Memory   : 8042.1875MB
% 0.10/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.39  % CPULimit : 300
% 0.10/0.39  % WCLimit  : 300
% 0.10/0.39  % DateTime : Wed Oct  1 16:03:38 EDT 2025
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  % Running portfolio for 300 s
% 0.10/0.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.39  % Number of cores: 8
% 0.10/0.39  % Python version: Python 3.6.8
% 0.10/0.39  % Running in HO mode
% 0.45/0.68  % Total configuration time : 828
% 0.45/0.68  % Estimated wc time : 1656
% 0.45/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.45/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.45/0.90  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.45/0.91  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.45/0.91  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.45/0.93  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.45/0.93  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.94  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.96  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.47/0.98  % Solved by lams/40_c.s.sh.
% 0.47/0.98  % done 2 iterations in 0.049s
% 0.47/0.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.98  % SZS output start Refutation
% See solution above
% 0.47/0.98  
% 0.47/0.98  
% 0.47/0.98  % Terminating...
% 1.71/1.15  % Runner terminated.
% 1.71/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------