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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO227^5 : 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.uJVoNZxai8 true

% Computer : n018.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 05:07:03 PM UTC 2025

% Result   : Theorem 0.55s 0.77s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   66 (  12   ~;   7   |;   6   &;  35   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   2   ^;   9   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_type,type,
    c: $i ).

thf(a_type,type,
    a: $i ).

thf(c_less__type,type,
    c_less_: $i > $i > $o ).

thf(b_type,type,
    b: $i ).

thf(cBLEDSOE4_W_AX,conjecture,
    ( ! [Xx: $i,Xy: $i] :
        ( ( c_less_ @ Xx @ Xy )
       => ( Xx != Xy ) )
   => ( ( ( c_less_ @ a @ b )
        & ( c_less_ @ b @ c ) )
     => ? [A: $i > $o] :
          ( ~ ( A @ c )
          & ( A @ b )
          & ~ ( A @ a ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i,Xy: $i] :
          ( ( c_less_ @ Xx @ Xy )
         => ( Xx != Xy ) )
     => ( ( ( c_less_ @ a @ b )
          & ( c_less_ @ b @ c ) )
       => ? [A: $i > $o] :
            ( ~ ( A @ c )
            & ( A @ b )
            & ~ ( A @ a ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE4_W_AX]) ).

thf(zip_derived_cl2,plain,
    c_less_ @ b @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ c )
      | ~ ( X2 @ b )
      | ( X2 @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( ^ [Y0: $i] : ( Y0 = b )
      @ a )
    | ( ^ [Y0: $i] : ( Y0 = b )
      @ c ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl30,plain,
    ( ( a = b )
    | ( c = b ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl31,plain,
    ( ( a = b )
    | ( c = b ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl3,plain,
    c_less_ @ a @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    ( ( c_less_ @ b @ b )
    | ( c = b ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( c_less_ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i] :
      ~ ( c_less_ @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl75,plain,
    c = b,
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl73]) ).

thf(zip_derived_cl73_001,plain,
    ! [X0: $i] :
      ~ ( c_less_ @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl79,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl75,zip_derived_cl73]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO227^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uJVoNZxai8 true
% 0.14/0.34  % Computer : n018.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 17:51:08 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
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.54/0.67  % Total configuration time : 828
% 0.54/0.67  % Estimated wc time : 1656
% 0.54/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.77  % Solved by lams/40_c_ic.sh.
% 0.55/0.77  % done 13 iterations in 0.013s
% 0.55/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.77  % SZS output start Refutation
% See solution above
% 0.55/0.77  
% 0.55/0.77  
% 0.55/0.77  % Terminating...
% 0.56/0.85  % Runner terminated.
% 0.56/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------