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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT057+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.ztB896mW5u true

% Computer : n028.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 06:25:17 AM UTC 2026

% Result   : Theorem 0.43s 0.77s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   44 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  111 (  13 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  384 (  48   ~;  40   |;  18   &; 269   @)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  48   !;   0   ?;  48   :)

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

thf(age_type,type,
    age: $i > $i > $i ).

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

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

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

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

thf(has_endowment_type,type,
    has_endowment: $i > $o ).

thf(eta_type,type,
    eta: $i ).

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

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

thf(zero_type,type,
    zero: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

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

thf(definition_1,axiom,
    ! [X: $i] :
      ( ( has_endowment @ X )
    <=> ! [T: $i] :
          ( ( ( greater @ ( age @ X @ T ) @ eta )
           => ~ ( has_immunity @ X @ T ) )
          & ( ( smaller_or_equal @ ( age @ X @ T ) @ eta )
           => ( has_immunity @ X @ T ) )
          & ( organization @ X ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( organization @ X0 )
      | ~ ( has_endowment @ X0 ) ),
    inference(cnf,[status(esa)],[definition_1]) ).

thf(assumption_3,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( has_immunity @ X @ T0 )
        & ~ ( has_immunity @ X @ T ) )
     => ( greater @ ( hazard_of_mortality @ X @ T ) @ ( hazard_of_mortality @ X @ T0 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( has_immunity @ X0 @ X1 )
      | ~ ( organization @ X0 )
      | ( has_immunity @ X0 @ X2 )
      | ( greater @ ( hazard_of_mortality @ X0 @ X2 ) @ ( hazard_of_mortality @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_3]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( has_endowment @ X0 )
      | ( greater @ ( hazard_of_mortality @ X0 @ X2 ) @ ( hazard_of_mortality @ X0 @ X1 ) )
      | ( has_immunity @ X0 @ X2 )
      | ~ ( has_immunity @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl19]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( smaller @ X0 @ X1 )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[definition_smaller]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( smaller_or_equal @ X0 @ X1 )
      | ~ ( smaller @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ( smaller_or_equal @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).

thf(theorem_6,conjecture,
    ! [X: $i,T0: $i,T1: $i,T2: $i] :
      ( ( ( organization @ X )
        & ( has_endowment @ X )
        & ( ( age @ X @ T0 )
          = zero )
        & ( smaller_or_equal @ ( age @ X @ T1 ) @ eta )
        & ( greater @ ( age @ X @ T2 ) @ eta )
        & ( greater @ eta @ zero ) )
     => ( ( greater @ ( hazard_of_mortality @ X @ T2 ) @ ( hazard_of_mortality @ X @ T1 ) )
        & ( ( hazard_of_mortality @ X @ T1 )
          = ( hazard_of_mortality @ X @ T0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,T0: $i,T1: $i,T2: $i] :
        ( ( ( organization @ X )
          & ( has_endowment @ X )
          & ( ( age @ X @ T0 )
            = zero )
          & ( smaller_or_equal @ ( age @ X @ T1 ) @ eta )
          & ( greater @ ( age @ X @ T2 ) @ eta )
          & ( greater @ eta @ zero ) )
       => ( ( greater @ ( hazard_of_mortality @ X @ T2 ) @ ( hazard_of_mortality @ X @ T1 ) )
          & ( ( hazard_of_mortality @ X @ T1 )
            = ( hazard_of_mortality @ X @ T0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[theorem_6]) ).

thf(zip_derived_cl24,plain,
    ( ( age @ sk__1 @ sk__2 )
    = zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( smaller_or_equal @ ( age @ X0 @ X1 ) @ eta )
      | ( has_immunity @ X0 @ X1 )
      | ~ ( has_endowment @ X0 ) ),
    inference(cnf,[status(esa)],[definition_1]) ).

thf(zip_derived_cl237,plain,
    ( ~ ( smaller_or_equal @ zero @ eta )
    | ( has_immunity @ sk__1 @ sk__2 )
    | ~ ( has_endowment @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl13]) ).

thf(zip_derived_cl23,plain,
    has_endowment @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ~ ( smaller_or_equal @ zero @ eta )
    | ( has_immunity @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl23]) ).

thf(zip_derived_cl252,plain,
    ( ~ ( greater @ eta @ zero )
    | ( has_immunity @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl238]) ).

thf(zip_derived_cl26,plain,
    greater @ eta @ zero,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    has_immunity @ sk__1 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl26]) ).

thf(zip_derived_cl11_001,plain,
    ! [X0: $i] :
      ( ( organization @ X0 )
      | ~ ( has_endowment @ X0 ) ),
    inference(cnf,[status(esa)],[definition_1]) ).

thf(assumption_2,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( has_immunity @ X @ T0 )
        & ( has_immunity @ X @ T ) )
     => ( ( hazard_of_mortality @ X @ T0 )
        = ( hazard_of_mortality @ X @ T ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( has_immunity @ X0 @ X1 )
      | ~ ( organization @ X0 )
      | ~ ( has_immunity @ X0 @ X2 )
      | ( ( hazard_of_mortality @ X0 @ X1 )
        = ( hazard_of_mortality @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_2]) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( has_endowment @ X0 )
      | ( ( hazard_of_mortality @ X0 @ X1 )
        = ( hazard_of_mortality @ X0 @ X2 ) )
      | ~ ( has_immunity @ X0 @ X2 )
      | ~ ( has_immunity @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ( ~ ( greater @ ( hazard_of_mortality @ sk__1 @ sk__4 ) @ ( hazard_of_mortality @ sk__1 @ sk__3 ) )
    | ( ( hazard_of_mortality @ sk__1 @ sk__3 )
     != ( hazard_of_mortality @ sk__1 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl278,plain,
    ! [X0: $i] :
      ( ~ ( has_immunity @ sk__1 @ X0 )
      | ~ ( has_immunity @ sk__1 @ sk__3 )
      | ~ ( has_endowment @ sk__1 )
      | ~ ( greater @ ( hazard_of_mortality @ sk__1 @ sk__4 ) @ ( hazard_of_mortality @ sk__1 @ X0 ) )
      | ( ( hazard_of_mortality @ sk__1 @ X0 )
       != ( hazard_of_mortality @ sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl20]) ).

thf(zip_derived_cl25,plain,
    smaller_or_equal @ ( age @ sk__1 @ sk__3 ) @ eta,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( smaller_or_equal @ ( age @ X0 @ X1 ) @ eta )
      | ( has_immunity @ X0 @ X1 )
      | ~ ( has_endowment @ X0 ) ),
    inference(cnf,[status(esa)],[definition_1]) ).

thf(zip_derived_cl239,plain,
    ( ( has_immunity @ sk__1 @ sk__3 )
    | ~ ( has_endowment @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl13]) ).

thf(zip_derived_cl23_003,plain,
    has_endowment @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    has_immunity @ sk__1 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl23]) ).

thf(zip_derived_cl23_004,plain,
    has_endowment @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292,plain,
    ! [X0: $i] :
      ( ~ ( has_immunity @ sk__1 @ X0 )
      | ~ ( greater @ ( hazard_of_mortality @ sk__1 @ sk__4 ) @ ( hazard_of_mortality @ sk__1 @ X0 ) )
      | ( ( hazard_of_mortality @ sk__1 @ X0 )
       != ( hazard_of_mortality @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl240,zip_derived_cl23]) ).

thf(zip_derived_cl323,plain,
    ( ~ ( greater @ ( hazard_of_mortality @ sk__1 @ sk__4 ) @ ( hazard_of_mortality @ sk__1 @ sk__2 ) )
    | ( ( hazard_of_mortality @ sk__1 @ sk__2 )
     != ( hazard_of_mortality @ sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl292]) ).

thf(zip_derived_cl325,plain,
    ~ ( greater @ ( hazard_of_mortality @ sk__1 @ sk__4 ) @ ( hazard_of_mortality @ sk__1 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl323]) ).

thf(zip_derived_cl350,plain,
    ( ~ ( has_immunity @ sk__1 @ sk__2 )
    | ( has_immunity @ sk__1 @ sk__4 )
    | ~ ( has_endowment @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl325]) ).

thf(zip_derived_cl253_005,plain,
    has_immunity @ sk__1 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl26]) ).

thf(zip_derived_cl21,plain,
    greater @ ( age @ sk__1 @ sk__4 ) @ eta,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ ( age @ X0 @ X1 ) @ eta )
      | ~ ( has_immunity @ X0 @ X1 )
      | ~ ( has_endowment @ X0 ) ),
    inference(cnf,[status(esa)],[definition_1]) ).

thf(zip_derived_cl235,plain,
    ( ~ ( has_immunity @ sk__1 @ sk__4 )
    | ~ ( has_endowment @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).

thf(zip_derived_cl23_006,plain,
    has_endowment @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl236,plain,
    ~ ( has_immunity @ sk__1 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl23]) ).

thf(zip_derived_cl23_007,plain,
    has_endowment @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl253,zip_derived_cl236,zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ztB896mW5u true
% 0.12/0.37  % Computer : n028.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep  7 13:32:02 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  % Running portfolio for 300 s
% 0.12/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Number of cores: 8
% 0.12/0.38  % Python version: Python 3.12.3
% 0.12/0.39  % Running in FO mode
% 0.40/0.65  % Total configuration time : 435
% 0.40/0.65  % Estimated wc time : 1092
% 0.40/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.77  % Solved by fo/fo6_bce.sh.
% 0.43/0.77  % BCE start: 27
% 0.43/0.77  % BCE eliminated: 1
% 0.43/0.77  % PE start: 26
% 0.43/0.77  logic: eq
% 0.43/0.77  % PE eliminated: 5
% 0.43/0.77  % done 42 iterations in 0.031s
% 0.43/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/0.77  % SZS output start Refutation
% See solution above
% 0.43/0.78  
% 0.43/0.78  
% 0.43/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.43/0.78  % Terminating...
% 1.38/0.82  % Runner terminated.
% 1.38/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------