TSTP Solution File: PUZ031_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fOcQKlqjv6 true

% Computer : n010.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 13:30:43 EDT 2023

% Result   : Theorem 0.21s 0.71s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   51 (  19 unt;  18 typ;   0 def)
%            Number of atoms       :   58 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  263 (  21   ~;  21   |;   3   &; 217   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   1 con; 0-2 aty)
%            Number of variables   :   87 (   0   ^;  79   !;   8   ?;  87   :)

% Comments : 
%------------------------------------------------------------------------------
thf(animal_type,type,
    animal: $tType ).

thf(wolf_type,type,
    wolf: $tType ).

thf(edible_type,type,
    edible: $tType ).

thf(plant_type,type,
    plant: $tType ).

thf(grain_type,type,
    grain: $tType ).

thf(fox_type,type,
    fox: $tType ).

thf(bird_type,type,
    bird: $tType ).

thf(snail_type,type,
    snail: $tType ).

thf(grain_to_plant_type,type,
    grain_to_plant: grain > plant ).

thf(fox_to_animal_type,type,
    fox_to_animal: fox > animal ).

thf(plant_to_edible_type,type,
    plant_to_edible: plant > edible ).

thf(animal_to_edible_type,type,
    animal_to_edible: animal > edible ).

thf(much_smaller_type,type,
    much_smaller: animal > animal > $o ).

thf(wolf_to_animal_type,type,
    wolf_to_animal: wolf > animal ).

thf(bird_to_animal_type,type,
    bird_to_animal: bird > animal ).

thf(sk__1_type,type,
    sk__1: snail > plant ).

thf(snail_to_animal_type,type,
    snail_to_animal: snail > animal ).

thf(eats_type,type,
    eats: animal > edible > $o ).

thf(pel47_11a,axiom,
    ! [X: wolf,Y: grain] :
      ~ ( eats @ ( wolf_to_animal @ X ) @ ( plant_to_edible @ ( grain_to_plant @ Y ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: wolf,X1: grain] :
      ~ ( eats @ ( wolf_to_animal @ X0 ) @ ( plant_to_edible @ ( grain_to_plant @ X1 ) ) ),
    inference(cnf,[status(esa)],[pel47_11a]) ).

thf(pel47_10,axiom,
    ! [X: fox,Y: wolf] : ( much_smaller @ ( fox_to_animal @ X ) @ ( wolf_to_animal @ Y ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: fox,X1: wolf] : ( much_smaller @ ( fox_to_animal @ X0 ) @ ( wolf_to_animal @ X1 ) ),
    inference(cnf,[status(esa)],[pel47_10]) ).

thf(pel47_7,axiom,
    ! [X: animal] :
      ( ! [Y1: animal] :
          ( ( ( much_smaller @ Y1 @ X )
            & ? [Z: plant] : ( eats @ Y1 @ ( plant_to_edible @ Z ) ) )
         => ( eats @ X @ ( animal_to_edible @ Y1 ) ) )
      | ! [Y: plant] : ( eats @ X @ ( plant_to_edible @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: animal,X1: animal,X2: plant,X3: plant] :
      ( ~ ( much_smaller @ X0 @ X1 )
      | ~ ( eats @ X0 @ ( plant_to_edible @ X2 ) )
      | ( eats @ X1 @ ( animal_to_edible @ X0 ) )
      | ( eats @ X1 @ ( plant_to_edible @ X3 ) ) ),
    inference(cnf,[status(esa)],[pel47_7]) ).

thf(zip_derived_cl15,plain,
    ! [X0: plant,X1: wolf,X2: fox,X3: plant] :
      ( ( eats @ ( wolf_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) )
      | ( eats @ ( wolf_to_animal @ X1 ) @ ( animal_to_edible @ ( fox_to_animal @ X2 ) ) )
      | ~ ( eats @ ( fox_to_animal @ X2 ) @ ( plant_to_edible @ X3 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(pel47_11,axiom,
    ! [X: wolf,Y: fox] :
      ~ ( eats @ ( wolf_to_animal @ X ) @ ( animal_to_edible @ ( fox_to_animal @ Y ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: wolf,X1: fox] :
      ~ ( eats @ ( wolf_to_animal @ X0 ) @ ( animal_to_edible @ ( fox_to_animal @ X1 ) ) ),
    inference(cnf,[status(esa)],[pel47_11]) ).

thf(zip_derived_cl24,plain,
    ! [X0: plant,X1: wolf,X2: fox,X3: plant] :
      ( ~ ( eats @ ( fox_to_animal @ X2 ) @ ( plant_to_edible @ X3 ) )
      | ( eats @ ( wolf_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).

thf(pel47_9,axiom,
    ! [X: bird,Y: fox] : ( much_smaller @ ( bird_to_animal @ X ) @ ( fox_to_animal @ Y ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: bird,X1: fox] : ( much_smaller @ ( bird_to_animal @ X0 ) @ ( fox_to_animal @ X1 ) ),
    inference(cnf,[status(esa)],[pel47_9]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: animal,X1: animal,X2: plant,X3: plant] :
      ( ~ ( much_smaller @ X0 @ X1 )
      | ~ ( eats @ X0 @ ( plant_to_edible @ X2 ) )
      | ( eats @ X1 @ ( animal_to_edible @ X0 ) )
      | ( eats @ X1 @ ( plant_to_edible @ X3 ) ) ),
    inference(cnf,[status(esa)],[pel47_7]) ).

thf(zip_derived_cl14,plain,
    ! [X0: plant,X1: fox,X2: bird,X3: plant] :
      ( ( eats @ ( fox_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) )
      | ( eats @ ( fox_to_animal @ X1 ) @ ( animal_to_edible @ ( bird_to_animal @ X2 ) ) )
      | ~ ( eats @ ( bird_to_animal @ X2 ) @ ( plant_to_edible @ X3 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(pel47_14a,axiom,
    ! [X: snail] :
    ? [Y: plant] : ( eats @ ( snail_to_animal @ X ) @ ( plant_to_edible @ Y ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: snail] : ( eats @ ( snail_to_animal @ X0 ) @ ( plant_to_edible @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[pel47_14a]) ).

thf(pel47_8,axiom,
    ! [X: snail,Y: bird] : ( much_smaller @ ( snail_to_animal @ X ) @ ( bird_to_animal @ Y ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: snail,X1: bird] : ( much_smaller @ ( snail_to_animal @ X0 ) @ ( bird_to_animal @ X1 ) ),
    inference(cnf,[status(esa)],[pel47_8]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: animal,X1: animal,X2: plant,X3: plant] :
      ( ~ ( much_smaller @ X0 @ X1 )
      | ~ ( eats @ X0 @ ( plant_to_edible @ X2 ) )
      | ( eats @ X1 @ ( animal_to_edible @ X0 ) )
      | ( eats @ X1 @ ( plant_to_edible @ X3 ) ) ),
    inference(cnf,[status(esa)],[pel47_7]) ).

thf(zip_derived_cl12,plain,
    ! [X0: plant,X1: bird,X2: snail,X3: plant] :
      ( ( eats @ ( bird_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) )
      | ( eats @ ( bird_to_animal @ X1 ) @ ( animal_to_edible @ ( snail_to_animal @ X2 ) ) )
      | ~ ( eats @ ( snail_to_animal @ X2 ) @ ( plant_to_edible @ X3 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(pel47_13,axiom,
    ! [X: bird,Y: snail] :
      ~ ( eats @ ( bird_to_animal @ X ) @ ( animal_to_edible @ ( snail_to_animal @ Y ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: bird,X1: snail] :
      ~ ( eats @ ( bird_to_animal @ X0 ) @ ( animal_to_edible @ ( snail_to_animal @ X1 ) ) ),
    inference(cnf,[status(esa)],[pel47_13]) ).

thf(zip_derived_cl17,plain,
    ! [X0: plant,X1: bird,X2: snail,X3: plant] :
      ( ~ ( eats @ ( snail_to_animal @ X2 ) @ ( plant_to_edible @ X3 ) )
      | ( eats @ ( bird_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).

thf(zip_derived_cl18,plain,
    ! [X1: plant,X2: bird] : ( eats @ ( bird_to_animal @ X2 ) @ ( plant_to_edible @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl17]) ).

thf(zip_derived_cl21,plain,
    ! [X0: plant,X1: fox,X2: bird] :
      ( ( eats @ ( fox_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) )
      | ( eats @ ( fox_to_animal @ X1 ) @ ( animal_to_edible @ ( bird_to_animal @ X2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).

thf(pel47,conjecture,
    ? [X: animal,Y: animal,Z: grain] :
      ( ( eats @ X @ ( animal_to_edible @ Y ) )
      & ( eats @ Y @ ( plant_to_edible @ ( grain_to_plant @ Z ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: animal,Y: animal,Z: grain] :
        ( ( eats @ X @ ( animal_to_edible @ Y ) )
        & ( eats @ Y @ ( plant_to_edible @ ( grain_to_plant @ Z ) ) ) ),
    inference('cnf.neg',[status(esa)],[pel47]) ).

thf(zip_derived_cl11,plain,
    ! [X0: animal,X1: animal,X2: grain] :
      ( ~ ( eats @ X0 @ ( animal_to_edible @ X1 ) )
      | ~ ( eats @ X1 @ ( plant_to_edible @ ( grain_to_plant @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ! [X0: bird,X1: fox,X2: plant,X3: grain] :
      ( ( eats @ ( fox_to_animal @ X1 ) @ ( plant_to_edible @ X2 ) )
      | ~ ( eats @ ( bird_to_animal @ X0 ) @ ( plant_to_edible @ ( grain_to_plant @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl11]) ).

thf(zip_derived_cl18_003,plain,
    ! [X1: plant,X2: bird] : ( eats @ ( bird_to_animal @ X2 ) @ ( plant_to_edible @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl17]) ).

thf(zip_derived_cl23,plain,
    ! [X1: fox,X2: plant] : ( eats @ ( fox_to_animal @ X1 ) @ ( plant_to_edible @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X0: plant,X1: wolf] : ( eats @ ( wolf_to_animal @ X1 ) @ ( plant_to_edible @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl23]) ).

thf(zip_derived_cl27,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fOcQKlqjv6 true
% 0.13/0.35  % Computer : n010.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 : Sat Aug 26 21:54:35 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % Solved by fo/fo6_bce.sh.
% 0.21/0.71  % BCE start: 12
% 0.21/0.71  % BCE eliminated: 0
% 0.21/0.71  % PE start: 12
% 0.21/0.71  logic: neq
% 0.21/0.71  % PE eliminated: 1
% 0.21/0.71  % done 14 iterations in 0.009s
% 0.21/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.71  % SZS output start Refutation
% See solution above
% 0.21/0.71  
% 0.21/0.71  
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71  % Terminating...
% 1.27/0.83  % Runner terminated.
% 1.27/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------