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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM857+1 : 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.iiY9QBagvB true

% Computer : n028.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 04:48:33 PM UTC 2025

% Result   : Theorem 1.38s 1.29s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   31 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :   51 (   8 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  164 (  20   ~;  16   |;   2   &; 124   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd527_type,type,
    vd527: $i ).

thf(vd529_type,type,
    vd529: $i ).

thf(vd530_type,type,
    vd530: $i ).

thf(vd526_type,type,
    vd526: $i ).

thf(vmul_type,type,
    vmul: $i > $i > $i ).

thf(geq_type,type,
    geq: $i > $i > $o ).

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

thf('holds(conseq(323), 532, 0)',conjecture,
    geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
    inference('cnf.neg',[status(esa)],[holds(conseq(323),532,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('holds(conjunct1(antec(323)), 528, 0)',axiom,
    geq @ vd526 @ vd527 ).

thf(zip_derived_cl2,plain,
    geq @ vd526 @ vd527,
    inference(cnf,[status(esa)],[holds(conjunct1(antec(323)),528,0)]) ).

thf('def(cond(conseq(axiom(3)), 16), 1)',axiom,
    ! [Vd244: $i,Vd245: $i] :
      ( ( geq @ Vd245 @ Vd244 )
    <=> ( ( greater @ Vd245 @ Vd244 )
        | ( Vd245 = Vd244 ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( greater @ X1 @ X0 )
      | ~ ( geq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).

thf(zip_derived_cl811,plain,
    ( ( vd526 = vd527 )
    | ( greater @ vd526 @ vd527 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl42]) ).

thf('ass(cond(318, 0), 0)',axiom,
    ! [Vd517: $i,Vd518: $i,Vd519: $i,Vd520: $i] :
      ( ( ( ( greater @ Vd519 @ Vd520 )
          & ( geq @ Vd517 @ Vd518 ) )
        | ( ( geq @ Vd519 @ Vd520 )
          & ( greater @ Vd517 @ Vd518 ) ) )
     => ( greater @ ( vmul @ Vd517 @ Vd519 ) @ ( vmul @ Vd518 @ Vd520 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( greater @ ( vmul @ X0 @ X1 ) @ ( vmul @ X2 @ X3 ) )
      | ~ ( geq @ X1 @ X3 )
      | ~ ( greater @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ass(cond(318,0),0)]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( geq @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).

thf(zip_derived_cl0_001,plain,
    ~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl452,plain,
    ~ ( greater @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).

thf(zip_derived_cl457,plain,
    ( ~ ( greater @ vd526 @ vd527 )
    | ~ ( geq @ vd529 @ vd530 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl452]) ).

thf('holds(conjunct2(antec(323)), 531, 0)',axiom,
    geq @ vd529 @ vd530 ).

thf(zip_derived_cl1,plain,
    geq @ vd529 @ vd530,
    inference(cnf,[status(esa)],[holds(conjunct2(antec(323)),531,0)]) ).

thf(zip_derived_cl460,plain,
    ~ ( greater @ vd526 @ vd527 ),
    inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl1]) ).

thf(zip_derived_cl814,plain,
    vd526 = vd527,
    inference(clc,[status(thm)],[zip_derived_cl811,zip_derived_cl460]) ).

thf(zip_derived_cl815,plain,
    ~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd526 @ vd530 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl814]) ).

thf(zip_derived_cl1_002,plain,
    geq @ vd529 @ vd530,
    inference(cnf,[status(esa)],[holds(conjunct2(antec(323)),531,0)]) ).

thf(zip_derived_cl42_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( greater @ X1 @ X0 )
      | ~ ( geq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).

thf(zip_derived_cl812,plain,
    ( ( vd529 = vd530 )
    | ( greater @ vd529 @ vd530 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl42]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( greater @ ( vmul @ X0 @ X1 ) @ ( vmul @ X2 @ X3 ) )
      | ~ ( greater @ X1 @ X3 )
      | ~ ( geq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ass(cond(318,0),0)]) ).

thf(zip_derived_cl452_004,plain,
    ~ ( greater @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).

thf(zip_derived_cl456,plain,
    ( ~ ( geq @ vd526 @ vd527 )
    | ~ ( greater @ vd529 @ vd530 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl452]) ).

thf(zip_derived_cl2_005,plain,
    geq @ vd526 @ vd527,
    inference(cnf,[status(esa)],[holds(conjunct1(antec(323)),528,0)]) ).

thf(zip_derived_cl459,plain,
    ~ ( greater @ vd529 @ vd530 ),
    inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl2]) ).

thf(zip_derived_cl856,plain,
    vd529 = vd530,
    inference(clc,[status(thm)],[zip_derived_cl812,zip_derived_cl459]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( geq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] : ( geq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl859,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl815,zip_derived_cl856,zip_derived_cl263]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.22  % Problem  : NUM857+1 : TPTP v9.2.0. Released v4.1.0.
% 0.09/0.23  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iiY9QBagvB true
% 0.10/0.43  % Computer : n028.cluster.edu
% 0.10/0.43  % Model    : x86_64 x86_64
% 0.10/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.43  % Memory   : 8042.1875MB
% 0.10/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.43  % CPULimit : 300
% 0.10/0.43  % WCLimit  : 300
% 0.10/0.43  % DateTime : Wed Oct  1 16:49:08 EDT 2025
% 0.10/0.43  % CPUTime  : 
% 0.10/0.43  % Running portfolio for 300 s
% 0.10/0.43  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45  % Number of cores: 8
% 0.14/0.45  % Python version: Python 3.6.8
% 0.14/0.46  % Running in FO mode
% 0.24/0.77  % Total configuration time : 435
% 0.24/0.77  % Estimated wc time : 1092
% 0.24/0.77  % Estimated cpu time (7 cpus) : 156.0
% 0.24/1.00  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/1.02  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/1.06  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.16/1.07  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/1.12  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/1.14  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/1.16  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/1.29  % Solved by fo/fo6_bce.sh.
% 1.38/1.29  % BCE start: 72
% 1.38/1.29  % BCE eliminated: 0
% 1.38/1.29  % PE start: 72
% 1.38/1.29  logic: eq
% 1.38/1.29  % PE eliminated: 0
% 1.38/1.29  % done 146 iterations in 0.225s
% 1.38/1.29  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/1.29  % SZS output start Refutation
% See solution above
% 1.38/1.29  
% 1.38/1.29  
% 1.38/1.29  % Terminating...
% 1.61/1.48  % Runner terminated.
% 1.61/1.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------