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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO235^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1L9g2ATD7f true

% Computer : n009.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 05:07:04 PM UTC 2025

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (  12 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   59 (   7   ~;  10   |;   0   &;  23   @)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   4 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   10 (   5   ^;   5   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cB_type,type,
    cB: $o ).

thf(cA_type,type,
    cA: $o ).

thf(cTHM505,conjecture,
    ( ( ( cA
      <=> cB )
      | ! [Q: $o > $o] :
          ( ( Q @ cA )
         => ( Q @ cB ) ) )
   => ( cA = cB ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cA
        <=> cB )
        | ! [Q: $o > $o] :
            ( ( Q @ cA )
           => ( Q @ cB ) ) )
     => ( cA = cB ) ),
    inference('cnf.neg',[status(esa)],[cTHM505]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( cA
        <=> cB )
        | ( !!
          @ ^ [Y0: $o > $o] :
              ( ( Y0 @ cA )
             => ( Y0 @ cB ) ) ) )
     => ( cA = cB ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( cA
    <=> cB )
    | ( !!
      @ ^ [Y0: $o > $o] :
          ( ( Y0 @ cA )
         => ( Y0 @ cB ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ( cA
    <=> cB )
    | ( !!
      @ ^ [Y0: $o > $o] :
          ( ( Y0 @ cA )
         => ( Y0 @ cB ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ( ( cA = cB )
    | ( !!
      @ ^ [Y0: $o > $o] :
          ( ( Y0 @ cA )
         => ( Y0 @ cB ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $o > $o] :
      ( ( ( X2 @ cA )
       => ( X2 @ cB ) )
      | ( cA = cB ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $o > $o] :
      ( ~ ( X2 @ cA )
      | ( X2 @ cB )
      | ( cA = cB ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl2,plain,
    cA != cB,
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    cA != cB,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $o > $o] :
      ( ~ ( X2 @ cA )
      | ( X2 @ cB ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl29,plain,
    ( ^ [Y0: $o] : ( Y0 = cA )
    @ cB ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl39,plain,
    cB = cA,
    inference(ho_norm,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl40,plain,
    cB = cA,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl4_001,plain,
    cA != cB,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl46,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl40,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO235^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1L9g2ATD7f true
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 18:19:23 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.54/0.66  % Total configuration time : 828
% 0.54/0.66  % Estimated wc time : 1656
% 0.54/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.74  % Solved by lams/35_full_unif4.sh.
% 0.55/0.74  % done 4 iterations in 0.012s
% 0.55/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  % Terminating...
% 0.61/0.85  % Runner terminated.
% 0.61/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------