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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM840+2 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fTGJ1GpjrX true

% Computer : n006.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 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   20 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   97 (  14   ~;  10   |;   0   &;  72   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd330_type,type,
    vd330: $i ).

thf(vplus_type,type,
    vplus: $i > $i > $i ).

thf(vd329_type,type,
    vd329: $i ).

thf(vd328_type,type,
    vd328: $i ).

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

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

thf('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom,
    less @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ) ).

thf(zip_derived_cl1,plain,
    less @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ),
    inference(cnf,[status(esa)],[holds(antec(conjunct2(conjunct2(204))),335,0)]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( greater @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),0)]) ).

thf('ass(cond(goal(193), 0), 2)',axiom,
    ! [Vd301: $i,Vd302: $i,Vd303: $i] :
      ( ( greater @ Vd301 @ Vd302 )
     => ( greater @ ( vplus @ Vd301 @ Vd303 ) @ ( vplus @ Vd302 @ Vd303 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ( greater @ ( vplus @ X0 @ X2 ) @ ( vplus @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(193),0),2)]) ).

thf(zip_derived_cl1_001,plain,
    less @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ),
    inference(cnf,[status(esa)],[holds(antec(conjunct2(conjunct2(204))),335,0)]) ).

thf('ass(cond(goal(130), 0), 2)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ~ ( less @ Vd203 @ Vd204 )
      | ~ ( greater @ Vd203 @ Vd204 ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).

thf(zip_derived_cl81,plain,
    ~ ( greater @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).

thf(zip_derived_cl86,plain,
    ~ ( greater @ vd328 @ vd329 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl81]) ).

thf(zip_derived_cl95,plain,
    ( ( vd328 = vd329 )
    | ( less @ vd328 @ vd329 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl86]) ).

thf('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture,
    less @ vd328 @ vd329 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( less @ vd328 @ vd329 ),
    inference('cnf.neg',[status(esa)],[holds(conseq(conjunct2(conjunct2(204))),336,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( less @ vd328 @ vd329 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    vd328 = vd329,
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl0]) ).

thf('ass(cond(goal(130), 0), 1)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ~ ( less @ Vd203 @ Vd204 )
      | ( Vd203 != Vd204 ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),1)]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl99,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl97,zip_derived_cl76]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM840+2 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fTGJ1GpjrX true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:38:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/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
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % Solved by fo/fo6_bce.sh.
% 0.56/0.75  % BCE start: 29
% 0.56/0.75  % BCE eliminated: 0
% 0.56/0.75  % PE start: 29
% 0.56/0.75  logic: eq
% 0.56/0.75  % PE eliminated: 0
% 0.56/0.75  % done 31 iterations in 0.015s
% 0.56/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75  % SZS output start Refutation
% See solution above
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  % Terminating...
% 1.43/0.86  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------