TSTP Solution File: MGT057+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2Rqdozd4kr true

% Computer : n002.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 Aug 31 09:20:36 EDT 2023

% Result   : Theorem 0.57s 0.79s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   58 (  15 unt;  14 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  :   14 (  14   >;   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
% 0.07/0.13  % Problem  : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2Rqdozd4kr true
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 06:52:19 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /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
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79  % Solved by fo/fo6_bce.sh.
% 0.57/0.79  % BCE start: 27
% 0.57/0.79  % BCE eliminated: 1
% 0.57/0.79  % PE start: 26
% 0.57/0.79  logic: eq
% 0.57/0.79  % PE eliminated: 5
% 0.57/0.79  % done 42 iterations in 0.047s
% 0.57/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79  % SZS output start Refutation
% See solution above
% 0.57/0.79  
% 0.57/0.79  
% 0.57/0.79  % Terminating...
% 0.60/0.87  % Runner terminated.
% 0.60/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------