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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT043+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UR1VBeb0P0 true

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:25:14 AM UTC 2026

% Result   : Theorem 0.50s 0.90s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  108 (  25 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  497 (  33   ~;  31   |;  23   &; 394   @)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   4 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

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

thf(has_immunity_type,type,
    has_immunity: $i > $i > $o ).

thf(position_type,type,
    position: $i > $i > $i ).

thf(capability_type,type,
    capability: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(smaller_type,type,
    smaller: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(greater_or_equal_type,type,
    greater_or_equal: $i > $i > $o ).

thf(smaller_or_equal_type,type,
    smaller_or_equal: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(hazard_of_mortality_type,type,
    hazard_of_mortality: $i > $i > $i ).

thf(organization_type,type,
    organization: $i > $o ).

thf(external_ties_type,type,
    external_ties: $i > $i > $i ).

thf(internal_friction_type,type,
    internal_friction: $i > $i > $i ).

thf(stock_of_knowledge_type,type,
    stock_of_knowledge: $i > $i > $i ).

thf(lemma_2,conjecture,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ~ ( has_immunity @ X @ T0 )
        & ~ ( has_immunity @ X @ T )
        & ( ( stock_of_knowledge @ X @ T )
          = ( stock_of_knowledge @ X @ T0 ) )
        & ( greater @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) )
        & ( ( external_ties @ X @ T0 )
          = ( external_ties @ X @ T ) ) )
     => ( greater @ ( hazard_of_mortality @ X @ T ) @ ( hazard_of_mortality @ X @ T0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,T0: $i,T: $i] :
        ( ( ( organization @ X )
          & ~ ( has_immunity @ X @ T0 )
          & ~ ( has_immunity @ X @ T )
          & ( ( stock_of_knowledge @ X @ T )
            = ( stock_of_knowledge @ X @ T0 ) )
          & ( greater @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) )
          & ( ( external_ties @ X @ T0 )
            = ( external_ties @ X @ T ) ) )
       => ( greater @ ( hazard_of_mortality @ X @ T ) @ ( hazard_of_mortality @ X @ T0 ) ) ),
    inference('cnf.neg',[status(esa)],[lemma_2]) ).

thf(zip_derived_cl19,plain,
    ~ ( greater @ ( hazard_of_mortality @ sk_ @ sk__2 ) @ ( hazard_of_mortality @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(definition_greater_or_equal,axiom,
    ! [X: $i,Y: $i] :
      ( ( greater_or_equal @ X @ Y )
    <=> ( ( greater @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[definition_greater_or_equal]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] : ( greater_or_equal @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl20,plain,
    ( ( external_ties @ sk_ @ sk__1 )
    = ( external_ties @ sk_ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(assumption_6,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( ( greater @ ( external_ties @ X @ T ) @ ( external_ties @ X @ T0 ) )
         => ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
        & ( ( ( external_ties @ X @ T )
            = ( external_ties @ X @ T0 ) )
         => ( ( position @ X @ T )
            = ( position @ X @ T0 ) ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( ( position @ X0 @ X2 )
        = ( position @ X0 @ X1 ) )
      | ( ( external_ties @ X0 @ X2 )
       != ( external_ties @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_6]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( organization @ sk_ )
      | ( ( position @ sk_ @ sk__2 )
        = ( position @ sk_ @ X0 ) )
      | ( ( external_ties @ sk_ @ sk__1 )
       != ( external_ties @ sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl18]) ).

thf(zip_derived_cl24,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( ( position @ sk_ @ sk__2 )
        = ( position @ sk_ @ X0 ) )
      | ( ( external_ties @ sk_ @ sk__1 )
       != ( external_ties @ sk_ @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl24]) ).

thf(zip_derived_cl47,plain,
    ( ( position @ sk_ @ sk__2 )
    = ( position @ sk_ @ sk__1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl44]) ).

thf(assumption_4,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ~ ( has_immunity @ X @ T0 )
        & ~ ( has_immunity @ X @ T ) )
     => ( ( ( ( greater @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) )
            & ( greater_or_equal @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
         => ( smaller @ ( hazard_of_mortality @ X @ T ) @ ( hazard_of_mortality @ X @ T0 ) ) )
        & ( ( ( greater_or_equal @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) )
            & ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
         => ( smaller @ ( hazard_of_mortality @ X @ T ) @ ( hazard_of_mortality @ X @ T0 ) ) )
        & ( ( ( ( capability @ X @ T )
              = ( capability @ X @ T0 ) )
            & ( ( position @ X @ T )
              = ( position @ X @ T0 ) ) )
         => ( ( hazard_of_mortality @ X @ T )
            = ( hazard_of_mortality @ X @ T0 ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( has_immunity @ X0 @ X1 )
      | ~ ( organization @ X0 )
      | ( has_immunity @ X0 @ X2 )
      | ( smaller @ ( hazard_of_mortality @ X0 @ X2 ) @ ( hazard_of_mortality @ X0 @ X1 ) )
      | ~ ( greater_or_equal @ ( position @ X0 @ X2 ) @ ( position @ X0 @ X1 ) )
      | ~ ( greater @ ( capability @ X0 @ X2 ) @ ( capability @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_4]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( has_immunity @ sk_ @ sk__2 )
      | ~ ( organization @ sk_ )
      | ( has_immunity @ sk_ @ X0 )
      | ( smaller @ ( hazard_of_mortality @ sk_ @ X0 ) @ ( hazard_of_mortality @ sk_ @ sk__2 ) )
      | ~ ( greater_or_equal @ ( position @ sk_ @ X0 ) @ ( position @ sk_ @ sk__1 ) )
      | ~ ( greater @ ( capability @ sk_ @ X0 ) @ ( capability @ sk_ @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl11]) ).

thf(zip_derived_cl23,plain,
    ~ ( has_immunity @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_001,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( has_immunity @ sk_ @ X0 )
      | ( smaller @ ( hazard_of_mortality @ sk_ @ X0 ) @ ( hazard_of_mortality @ sk_ @ sk__2 ) )
      | ~ ( greater_or_equal @ ( position @ sk_ @ X0 ) @ ( position @ sk_ @ sk__1 ) )
      | ~ ( greater @ ( capability @ sk_ @ X0 ) @ ( capability @ sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl201,plain,
    ( ( has_immunity @ sk_ @ sk__1 )
    | ( smaller @ ( hazard_of_mortality @ sk_ @ sk__1 ) @ ( hazard_of_mortality @ sk_ @ sk__2 ) )
    | ~ ( greater @ ( capability @ sk_ @ sk__1 ) @ ( capability @ sk_ @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl64]) ).

thf(zip_derived_cl25,plain,
    ~ ( has_immunity @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    greater @ ( internal_friction @ sk_ @ sk__2 ) @ ( internal_friction @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(assumption_5,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( ( ( greater @ ( stock_of_knowledge @ X @ T ) @ ( stock_of_knowledge @ X @ T0 ) )
            & ( smaller_or_equal @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) ) )
         => ( greater @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) )
        & ( ( ( smaller_or_equal @ ( stock_of_knowledge @ X @ T ) @ ( stock_of_knowledge @ X @ T0 ) )
            & ( greater @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) ) )
         => ( smaller @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) )
        & ( ( ( ( stock_of_knowledge @ X @ T )
              = ( stock_of_knowledge @ X @ T0 ) )
            & ( ( internal_friction @ X @ T )
              = ( internal_friction @ X @ T0 ) ) )
         => ( ( capability @ X @ T )
            = ( capability @ X @ T0 ) ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( smaller @ ( capability @ X0 @ X1 ) @ ( capability @ X0 @ X2 ) )
      | ~ ( greater @ ( internal_friction @ X0 @ X1 ) @ ( internal_friction @ X0 @ X2 ) )
      | ~ ( smaller_or_equal @ ( stock_of_knowledge @ X0 @ X1 ) @ ( stock_of_knowledge @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_5]) ).

thf(zip_derived_cl180,plain,
    ( ~ ( organization @ sk_ )
    | ( smaller @ ( capability @ sk_ @ sk__2 ) @ ( capability @ sk_ @ sk__1 ) )
    | ~ ( smaller_or_equal @ ( stock_of_knowledge @ sk_ @ sk__2 ) @ ( stock_of_knowledge @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl15]) ).

thf(zip_derived_cl24_002,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ( ( stock_of_knowledge @ sk_ @ sk__2 )
    = ( stock_of_knowledge @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(definition_smaller_or_equal,axiom,
    ! [X: $i,Y: $i] :
      ( ( smaller_or_equal @ X @ Y )
    <=> ( ( smaller @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( smaller_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] : ( smaller_or_equal @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl183,plain,
    smaller @ ( capability @ sk_ @ sk__2 ) @ ( capability @ sk_ @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl24,zip_derived_cl22,zip_derived_cl27]) ).

thf(definition_smaller,axiom,
    ! [X: $i,Y: $i] :
      ( ( smaller @ X @ Y )
    <=> ( greater @ Y @ X ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ X0 @ X1 )
      | ~ ( smaller @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[definition_smaller]) ).

thf(zip_derived_cl184,plain,
    greater @ ( capability @ sk_ @ sk__1 ) @ ( capability @ sk_ @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl6]) ).

thf(zip_derived_cl203,plain,
    smaller @ ( hazard_of_mortality @ sk_ @ sk__1 ) @ ( hazard_of_mortality @ sk_ @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl25,zip_derived_cl184]) ).

thf(zip_derived_cl6_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ X0 @ X1 )
      | ~ ( smaller @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[definition_smaller]) ).

thf(zip_derived_cl205,plain,
    greater @ ( hazard_of_mortality @ sk_ @ sk__2 ) @ ( hazard_of_mortality @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl6]) ).

thf(zip_derived_cl207,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl205]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT043+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UR1VBeb0P0 true
% 0.09/0.35  % Computer : n014.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep  7 13:05:56 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  % Running portfolio for 300 s
% 0.12/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.12.3
% 0.12/0.36  % Running in FO mode
% 0.45/0.65  % Total configuration time : 435
% 0.45/0.65  % Estimated wc time : 1092
% 0.45/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.90  % Solved by fo/fo13.sh.
% 0.50/0.90  % done 91 iterations in 0.085s
% 0.50/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.90  % SZS output start Refutation
% See solution above
% 0.50/0.90  
% 0.50/0.90  
% 0.50/0.90  % Terminating...
% 0.50/0.94  % Runner terminated.
% 0.50/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------