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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM843+1 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c4SGPsxepx true

% Computer : n013.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 04:48:29 PM UTC 2025

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   16 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   53 (   8   ~;   8   |;   0   &;  36   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leq_type,type,
    leq: $i > $i > $o ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(vd391_type,type,
    vd391: $i ).

thf(vd390_type,type,
    vd390: $i ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf('holds(conjunct2(243), 393, 0)',axiom,
    ~ ( leq @ vd390 @ vd391 ) ).

thf(zip_derived_cl1,plain,
    ~ ( leq @ vd390 @ vd391 ),
    inference(cnf,[status(esa)],[holds(conjunct2(243),393,0)]) ).

thf('ass(cond(goal(130), 0), 0)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ( less @ Vd203 @ Vd204 )
      | ( greater @ Vd203 @ Vd204 )
      | ( Vd203 = Vd204 ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( greater @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),0)]) ).

thf('def(cond(conseq(axiom(3)), 17), 1)',axiom,
    ! [Vd249: $i,Vd250: $i] :
      ( ( leq @ Vd250 @ Vd249 )
    <=> ( ( less @ Vd250 @ Vd249 )
        | ( Vd250 = Vd249 ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),17),1)]) ).

thf(zip_derived_cl1_001,plain,
    ~ ( leq @ vd390 @ vd391 ),
    inference(cnf,[status(esa)],[holds(conjunct2(243),393,0)]) ).

thf(zip_derived_cl223,plain,
    ~ ( less @ vd390 @ vd391 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1]) ).

thf(zip_derived_cl378,plain,
    ( ( vd390 = vd391 )
    | ( greater @ vd390 @ vd391 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl223]) ).

thf('holds(244, 394, 0)',conjecture,
    greater @ vd390 @ vd391 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( greater @ vd390 @ vd391 ),
    inference('cnf.neg',[status(esa)],[holds(244,394,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( greater @ vd390 @ vd391 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    vd390 = vd391,
    inference(clc,[status(thm)],[zip_derived_cl378,zip_derived_cl0]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),17),1)]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl387,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl385,zip_derived_cl205]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM843+1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c4SGPsxepx true
% 0.14/0.34  % Computer : n013.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 16:44:53 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82  % Solved by fo/fo6_bce.sh.
% 0.57/0.82  % BCE start: 55
% 0.57/0.82  % BCE eliminated: 0
% 0.57/0.82  % PE start: 55
% 0.57/0.82  logic: eq
% 0.57/0.82  % PE eliminated: 0
% 0.57/0.82  % done 92 iterations in 0.088s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% See solution above
% 0.57/0.82  
% 0.57/0.82  
% 0.57/0.82  % Terminating...
% 0.59/0.86  % Runner terminated.
% 0.59/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------