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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV410^5 : 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.QiOQwccczc true

% Computer : n022.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 04:57:40 PM UTC 2025

% Result   : Theorem 0.60s 0.74s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   76 (   6   ~;   7   |;   6   &;  42   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-1 aty)
%                                         (   4  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   17 (  12   ^;   3   !;   2   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cA_type,type,
    cA: $i > $o ).

thf(cB_type,type,
    cB: $i > $o ).

thf(cP_type,type,
    cP: ( $i > $o ) > $o ).

thf(cSV1_pme,conjecture,
    ( ( cP
      @ ^ [Xx: $i] :
          ( ( cB @ Xx )
          | ( cA @ Xx ) ) )
   => ? [Xu: $i > $o] :
        ( ( cP @ Xu )
        & ! [Xx: $i] :
            ( ( cA @ Xx )
           => ( Xu @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( cP
        @ ^ [Xx: $i] :
            ( ( cB @ Xx )
            | ( cA @ Xx ) ) )
     => ? [Xu: $i > $o] :
          ( ( cP @ Xu )
          & ! [Xx: $i] :
              ( ( cA @ Xx )
             => ( Xu @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cSV1_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( cP
        @ ^ [Y0: $i] :
            ( ( cB @ Y0 )
            | ( cA @ Y0 ) ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( cP @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( cA @ Y1 )
                 => ( Y0 @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( cP @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( cA @ Y1 )
               => ( Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $o] :
      ~ ( ( cP @ X2 )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( cA @ Y0 )
             => ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ~ ( ( cP
        @ ^ [Y0: $i] :
            ( ( cB @ Y0 )
            | ( cA @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( ( cA @ Y0 )
           => ( ( cB @ Y0 )
              | ( cA @ Y0 ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ~ ( cP
      @ ^ [Y0: $i] :
          ( ( cB @ Y0 )
          | ( cA @ Y0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl1,plain,
    ( cP
    @ ^ [Y0: $i] :
        ( ( cB @ Y0 )
        | ( cA @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl10,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEV410^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QiOQwccczc true
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 15:37:38 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in HO mode
% 0.49/0.61  % Total configuration time : 828
% 0.49/0.61  % Estimated wc time : 1656
% 0.49/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.74  % Solved by lams/20_acsne_simpl.sh.
% 0.60/0.74  % done 0 iterations in 0.011s
% 0.60/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.74  % SZS output start Refutation
% See solution above
% 0.60/0.74  
% 0.60/0.74  
% 0.60/0.74  % Terminating...
% 0.68/0.83  % Runner terminated.
% 0.68/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------