TSTP Solution File: PUZ010-1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : PUZ010-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.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 : Fri May 19 11:47:23 EDT 2023

% Result   : Unsatisfiable 6.10s 2.32s
% Output   : Refutation 6.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  171
% Syntax   : Number of formulae    :  300 ( 119 unt;  43 typ;   0 def)
%            Number of atoms       :  643 (   0 equ;   0 cnn)
%            Maximal formula atoms :   25 (   2 avg)
%            Number of connectives : 1948 ( 488   ~; 386   |;   0   &;1074   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   44 (  43 usr;  31 con; 0-2 aty)
%            Number of variables   :  162 (   0   ^; 162   !;   0   ?; 162   :)

% Comments : 
%------------------------------------------------------------------------------
thf(drinks_type,type,
    drinks: $i > $i > $o ).

thf(norwegian_type,type,
    norwegian: $i ).

thf(water_type,type,
    water: $i ).

thf(ukranian_type,type,
    ukranian: $i ).

thf(tea_type,type,
    tea: $i ).

thf(japanese_type,type,
    japanese: $i ).

thf(coffee_type,type,
    coffee: $i ).

thf(english_type,type,
    english: $i ).

thf(milk_type,type,
    milk: $i ).

thf(spaniard_type,type,
    spaniard: $i ).

thf(orange_type,type,
    orange: $i ).

thf(owns_type,type,
    owns: $i > $i > $o ).

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

thf(horse_type,type,
    horse: $i ).

thf(zebra_type,type,
    zebra: $i ).

thf(snails_type,type,
    snails: $i ).

thf(dog_type,type,
    dog: $i ).

thf(drives_type,type,
    drives: $i > $i > $o ).

thf(masserati_type,type,
    masserati: $i ).

thf(saab_type,type,
    saab: $i ).

thf(jaguar_type,type,
    jaguar: $i ).

thf(porsche_type,type,
    porsche: $i ).

thf(honda_type,type,
    honda: $i ).

thf(lives_type,type,
    lives: $i > $i > $o ).

thf(house_1_type,type,
    house_1: $i ).

thf(house_2_type,type,
    house_2: $i ).

thf(house_5_type,type,
    house_5: $i ).

thf(house_3_type,type,
    house_3: $i ).

thf(house_4_type,type,
    house_4: $i ).

thf(is_color_type,type,
    is_color: $i > $i > $o ).

thf(yellow_type,type,
    yellow: $i ).

thf(blue_type,type,
    blue: $i ).

thf(red_type,type,
    red: $i ).

thf(ivory_type,type,
    ivory: $i ).

thf(green_type,type,
    green: $i ).

thf(left_of_type,type,
    left_of: $i > $i > $o ).

thf(next_to_type,type,
    next_to: $i > $i > $o ).

thf(animal_type,type,
    animal: $i > $o ).

thf(person_type,type,
    person: $i > $o ).

thf(drink_type,type,
    drink: $i > $o ).

thf(color_type,type,
    color: $i > $o ).

thf(car_type,type,
    car: $i > $o ).

thf(house_type,type,
    house: $i > $o ).

thf(13,axiom,
    ~ ( left_of @ house_4 @ house_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_4_not_left_of_house_3) ).

thf(153,plain,
    ~ ( left_of @ house_4 @ house_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(1,negated_conjecture,
    ( ~ ( drinks @ norwegian @ water )
    | ~ ( drinks @ ukranian @ tea )
    | ~ ( drinks @ japanese @ coffee )
    | ~ ( drinks @ english @ milk )
    | ~ ( drinks @ spaniard @ orange )
    | ~ ( owns @ norwegian @ fox )
    | ~ ( owns @ ukranian @ horse )
    | ~ ( owns @ japanese @ zebra )
    | ~ ( owns @ english @ snails )
    | ~ ( owns @ spaniard @ dog )
    | ~ ( drives @ norwegian @ masserati )
    | ~ ( drives @ ukranian @ saab )
    | ~ ( drives @ japanese @ jaguar )
    | ~ ( drives @ english @ porsche )
    | ~ ( drives @ spaniard @ honda )
    | ~ ( lives @ norwegian @ house_1 )
    | ~ ( lives @ ukranian @ house_2 )
    | ~ ( lives @ japanese @ house_5 )
    | ~ ( lives @ english @ house_3 )
    | ~ ( lives @ spaniard @ house_4 )
    | ~ ( is_color @ house_1 @ yellow )
    | ~ ( is_color @ house_2 @ blue )
    | ~ ( is_color @ house_3 @ red )
    | ~ ( is_color @ house_4 @ ivory )
    | ~ ( is_color @ house_5 @ green ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_configuration) ).

thf(129,plain,
    ( ~ ( drinks @ norwegian @ water )
    | ~ ( drinks @ ukranian @ tea )
    | ~ ( drinks @ japanese @ coffee )
    | ~ ( drinks @ english @ milk )
    | ~ ( drinks @ spaniard @ orange )
    | ~ ( owns @ norwegian @ fox )
    | ~ ( owns @ ukranian @ horse )
    | ~ ( owns @ japanese @ zebra )
    | ~ ( owns @ english @ snails )
    | ~ ( owns @ spaniard @ dog )
    | ~ ( drives @ norwegian @ masserati )
    | ~ ( drives @ ukranian @ saab )
    | ~ ( drives @ japanese @ jaguar )
    | ~ ( drives @ english @ porsche )
    | ~ ( drives @ spaniard @ honda )
    | ~ ( lives @ norwegian @ house_1 )
    | ~ ( lives @ ukranian @ house_2 )
    | ~ ( lives @ japanese @ house_5 )
    | ~ ( lives @ english @ house_3 )
    | ~ ( lives @ spaniard @ house_4 )
    | ~ ( is_color @ house_1 @ yellow )
    | ~ ( is_color @ house_2 @ blue )
    | ~ ( is_color @ house_3 @ red )
    | ~ ( is_color @ house_4 @ ivory )
    | ~ ( is_color @ house_5 @ green ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(42,axiom,
    animal @ fox,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox) ).

thf(199,plain,
    animal @ fox,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(8,axiom,
    ~ ( left_of @ house_4 @ house_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_4_not_left_of_house_2) ).

thf(143,plain,
    ~ ( left_of @ house_4 @ house_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(63,axiom,
    ~ ( left_of @ house_2 @ house_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_2_not_left_of_house_1) ).

thf(234,plain,
    ~ ( left_of @ house_2 @ house_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(121,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_2 @ A )
      | ~ ( is_color @ house_4 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_2_and_4_coloured_different) ).

thf(333,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_2 @ A )
      | ~ ( is_color @ house_4 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(71,axiom,
    drink @ water,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',water) ).

thf(249,plain,
    drink @ water,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(105,axiom,
    color @ green,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',green) ).

thf(308,plain,
    color @ green,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(70,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_4 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_1_and_4_coloured_different) ).

thf(247,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_4 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(44,axiom,
    ~ ( left_of @ house_3 @ house_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_not_left_of_house_2) ).

thf(202,plain,
    ~ ( left_of @ house_3 @ house_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(27,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( person @ C )
      | ~ ( drives @ C @ masserati )
      | ~ ( house @ A )
      | ~ ( lives @ C @ A )
      | ~ ( person @ D )
      | ~ ( owns @ D @ horse )
      | ~ ( house @ B )
      | ~ ( lives @ D @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',masserati_next_to_horse) ).

thf(174,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( person @ C )
      | ~ ( drives @ C @ masserati )
      | ~ ( house @ A )
      | ~ ( lives @ C @ A )
      | ~ ( person @ D )
      | ~ ( owns @ D @ horse )
      | ~ ( house @ B )
      | ~ ( lives @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(93,axiom,
    car @ saab,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saab) ).

thf(288,plain,
    car @ saab,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(101,axiom,
    color @ yellow,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yellow) ).

thf(301,plain,
    color @ yellow,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(76,axiom,
    ~ ( left_of @ house_5 @ house_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_5_not_left_of_house_2) ).

thf(257,plain,
    ~ ( left_of @ house_5 @ house_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(33,axiom,
    ~ ( left_of @ house_1 @ house_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_not_left_of_house_1) ).

thf(184,plain,
    ~ ( left_of @ house_1 @ house_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(15,axiom,
    drink @ milk,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',milk) ).

thf(157,plain,
    drink @ milk,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ spaniard @ A )
      | ~ ( lives @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_norwegian_live_apart) ).

thf(189,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ spaniard @ A )
      | ~ ( lives @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(91,axiom,
    ~ ( left_of @ house_3 @ house_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_not_left_of_house_1) ).

thf(284,plain,
    ~ ( left_of @ house_3 @ house_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(60,axiom,
    ~ ( left_of @ house_4 @ house_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_4_not_left_of_house_4) ).

thf(228,plain,
    ~ ( left_of @ house_4 @ house_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(94,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_japanese_live_apart) ).

thf(289,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(78,axiom,
    left_of @ house_1 @ house_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_left_of_house_2) ).

thf(261,plain,
    left_of @ house_1 @ house_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(54,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_norwegian_own_different_pets) ).

thf(216,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( lives @ A @ house_3 )
      | ~ ( person @ A )
      | ~ ( drinks @ A @ milk ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',milk_in_middle) ).

thf(179,plain,
    ! [A: $i] :
      ( ( lives @ A @ house_3 )
      | ~ ( person @ A )
      | ~ ( drinks @ A @ milk ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(113,axiom,
    drives @ japanese @ jaguar,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',japanese_drives_jaguar) ).

thf(321,plain,
    drives @ japanese @ jaguar,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(65,axiom,
    ~ ( left_of @ house_3 @ house_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_not_left_of_house_3) ).

thf(238,plain,
    ~ ( left_of @ house_3 @ house_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(10,axiom,
    ~ ( left_of @ house_1 @ house_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_not_left_of_house_3) ).

thf(147,plain,
    ~ ( left_of @ house_1 @ house_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(89,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ spaniard @ A )
      | ~ ( drinks @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_norwegian_drink_different) ).

thf(280,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ spaniard @ A )
      | ~ ( drinks @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(3,axiom,
    ! [B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( left_of @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_mean_next_to) ).

thf(133,plain,
    ! [B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( left_of @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(68,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ spaniard @ A )
      | ~ ( drinks @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_ukranian_drink_different) ).

thf(243,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ spaniard @ A )
      | ~ ( drinks @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(47,axiom,
    owns @ spaniard @ dog,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_owns_dog) ).

thf(206,plain,
    owns @ spaniard @ dog,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(96,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_norwegian_drive_different) ).

thf(292,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(83,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ spaniard @ A )
      | ~ ( drinks @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_japanese_drink_different) ).

thf(270,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ spaniard @ A )
      | ~ ( drinks @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(56,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ spaniard @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_spaniard_drive_different) ).

thf(220,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ spaniard @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(102,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ spaniard @ A )
      | ~ ( drives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_japanese_drive_different) ).

thf(302,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ spaniard @ A )
      | ~ ( drives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(18,axiom,
    drink @ tea,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tea) ).

thf(160,plain,
    drink @ tea,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(99,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_norwegian_live_apart) ).

thf(297,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ spaniard @ A )
      | ~ ( drives @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_ukranian_drive_different) ).

thf(192,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ spaniard @ A )
      | ~ ( drives @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ spaniard @ A )
      | ~ ( lives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_japanese_live_apart) ).

thf(165,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ spaniard @ A )
      | ~ ( lives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(86,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ norwegian @ A )
      | ~ ( drinks @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_japanese_drink_different) ).

thf(275,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ norwegian @ A )
      | ~ ( drinks @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ norwegian @ A )
      | ~ ( owns @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_ukranian_own_different_pets) ).

thf(137,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ norwegian @ A )
      | ~ ( owns @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(73,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ spaniard @ A )
      | ~ ( owns @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_norwegian_own_different_pets) ).

thf(252,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ spaniard @ A )
      | ~ ( owns @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_4 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_4_and_5_coloured_different) ).

thf(197,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_4 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(115,axiom,
    ! [A: $i] :
      ( ( owns @ A @ snails )
      | ~ ( person @ A )
      | ~ ( drives @ A @ porsche ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',porsche_with_snails) ).

thf(324,plain,
    ! [A: $i] :
      ( ( owns @ A @ snails )
      | ~ ( person @ A )
      | ~ ( drives @ A @ porsche ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(58,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ spaniard @ A )
      | ~ ( owns @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_japanese_own_different_pets) ).

thf(224,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ spaniard @ A )
      | ~ ( owns @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(111,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ spaniard @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_spaniard_own_different_pets) ).

thf(317,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ spaniard @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_ukranian_live_apart) ).

thf(169,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(7,axiom,
    ~ ( left_of @ house_5 @ house_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_5_not_left_of_house_4) ).

thf(141,plain,
    ~ ( left_of @ house_5 @ house_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(118,axiom,
    ~ ( left_of @ house_4 @ house_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_4_not_left_of_house_1) ).

thf(328,plain,
    ~ ( left_of @ house_4 @ house_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(124,axiom,
    ~ ( left_of @ house_5 @ house_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_5_not_left_of_house_1) ).

thf(339,plain,
    ~ ( left_of @ house_5 @ house_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(51,axiom,
    animal @ dog,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog) ).

thf(212,plain,
    animal @ dog,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(126,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_1_and_3_coloured_different) ).

thf(343,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(81,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ norwegian @ A )
      | ~ ( owns @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_japanese_own_different_pets) ).

thf(266,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ norwegian @ A )
      | ~ ( owns @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(46,axiom,
    drinks @ ukranian @ tea,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ukranian_drinks_tea) ).

thf(205,plain,
    drinks @ ukranian @ tea,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(108,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ( is_color @ A @ red )
      | ( is_color @ A @ yellow )
      | ( is_color @ A @ blue )
      | ( is_color @ A @ green )
      | ( is_color @ A @ ivory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_coloured) ).

thf(311,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ( is_color @ A @ red )
      | ( is_color @ A @ yellow )
      | ( is_color @ A @ blue )
      | ( is_color @ A @ green )
      | ( is_color @ A @ ivory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(80,axiom,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( lives @ A @ house_1 )
      | ( lives @ A @ house_2 )
      | ( lives @ A @ house_3 )
      | ( lives @ A @ house_4 )
      | ( lives @ A @ house_5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',people_live_somewhere) ).

thf(264,plain,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( lives @ A @ house_1 )
      | ( lives @ A @ house_2 )
      | ( lives @ A @ house_3 )
      | ( lives @ A @ house_4 )
      | ( lives @ A @ house_5 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(19,axiom,
    left_of @ house_4 @ house_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_4_left_of_house_5) ).

thf(161,plain,
    left_of @ house_4 @ house_5,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(98,axiom,
    drink @ orange,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',orange) ).

thf(296,plain,
    drink @ orange,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_unkranian_drink_different) ).

thf(149,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(28,axiom,
    ! [B: $i,A: $i] :
      ( ( is_color @ A @ yellow )
      | ~ ( person @ B )
      | ~ ( drives @ B @ masserati )
      | ~ ( house @ A )
      | ~ ( lives @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',masserati_in_yellow_house) ).

thf(176,plain,
    ! [B: $i,A: $i] :
      ( ( is_color @ A @ yellow )
      | ~ ( person @ B )
      | ~ ( drives @ B @ masserati )
      | ~ ( house @ A )
      | ~ ( lives @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(37,axiom,
    house @ house_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_house_5) ).

thf(191,plain,
    house @ house_5,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(92,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_2 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_1_and_2_coloured_different) ).

thf(286,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_2 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(95,axiom,
    color @ blue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',blue) ).

thf(291,plain,
    color @ blue,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(45,axiom,
    house @ house_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_house_4) ).

thf(204,plain,
    house @ house_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(77,axiom,
    ! [B: $i,A: $i] :
      ( ( is_color @ A @ green )
      | ~ ( person @ B )
      | ~ ( drinks @ B @ coffee )
      | ~ ( house @ A )
      | ~ ( lives @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coffee_in_green_house) ).

thf(259,plain,
    ! [B: $i,A: $i] :
      ( ( is_color @ A @ green )
      | ~ ( person @ B )
      | ~ ( drinks @ B @ coffee )
      | ~ ( house @ A )
      | ~ ( lives @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(109,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ spaniard @ A )
      | ~ ( drives @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_norwegian_drive_different) ).

thf(313,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ spaniard @ A )
      | ~ ( drives @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(122,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( person @ C )
      | ~ ( owns @ C @ fox )
      | ~ ( house @ A )
      | ~ ( lives @ C @ A )
      | ~ ( person @ D )
      | ~ ( drives @ D @ saab )
      | ~ ( house @ B )
      | ~ ( lives @ D @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saab_with_fox) ).

thf(335,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( person @ C )
      | ~ ( owns @ C @ fox )
      | ~ ( house @ A )
      | ~ ( lives @ C @ A )
      | ~ ( person @ D )
      | ~ ( drives @ D @ saab )
      | ~ ( house @ B )
      | ~ ( lives @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(64,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ norwegian @ A )
      | ~ ( drinks @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_ukranian_drink_different) ).

thf(236,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ norwegian @ A )
      | ~ ( drinks @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ spaniard @ A )
      | ~ ( owns @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_ukranian_own_different_pets) ).

thf(181,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ spaniard @ A )
      | ~ ( owns @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(17,axiom,
    house @ house_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_house_3) ).

thf(159,plain,
    house @ house_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( drinks @ A @ orange )
      | ( drinks @ A @ coffee )
      | ( drinks @ A @ tea )
      | ( drinks @ A @ milk )
      | ( drinks @ A @ water ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drink_something) ).

thf(187,plain,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( drinks @ A @ orange )
      | ( drinks @ A @ coffee )
      | ( drinks @ A @ tea )
      | ( drinks @ A @ milk )
      | ( drinks @ A @ water ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ ukranian @ A )
      | ~ ( drives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ukranian_and_japanese_drive_different) ).

thf(172,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ ukranian @ A )
      | ~ ( drives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(61,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_2 @ A )
      | ~ ( is_color @ house_3 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_2_and_3_coloured_different) ).

thf(230,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_2 @ A )
      | ~ ( is_color @ house_3 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(69,axiom,
    ~ ( left_of @ house_1 @ house_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_not_left_of_house_5) ).

thf(245,plain,
    ~ ( left_of @ house_1 @ house_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(127,axiom,
    person @ norwegian,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian) ).

thf(345,plain,
    person @ norwegian,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(52,axiom,
    car @ masserati,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',masserati) ).

thf(213,plain,
    car @ masserati,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(66,axiom,
    left_of @ house_3 @ house_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_left_of_house_4) ).

thf(240,plain,
    left_of @ house_3 @ house_4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(14,axiom,
    ~ ( left_of @ house_2 @ house_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_2_not_left_of_house_2) ).

thf(155,plain,
    ~ ( left_of @ house_2 @ house_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(119,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_1_and_5_coloured_different) ).

thf(330,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_1 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(88,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ spaniard @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_spaniard_drink_different) ).

thf(278,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ spaniard @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(104,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ ukranian @ A )
      | ~ ( owns @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ukranian_and_japanese_own_different_pets) ).

thf(306,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ ukranian @ A )
      | ~ ( owns @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(4,axiom,
    ! [B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( left_of @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_means_next_to) ).

thf(135,plain,
    ! [B: $i,A: $i] :
      ( ( next_to @ A @ B )
      | ~ ( left_of @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(100,axiom,
    ~ ( left_of @ house_5 @ house_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_5_not_left_of_house_5) ).

thf(299,plain,
    ~ ( left_of @ house_5 @ house_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(59,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ norwegian @ A )
      | ~ ( lives @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_ukranian_live_apart) ).

thf(226,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ norwegian @ A )
      | ~ ( lives @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(67,axiom,
    ! [B: $i,A: $i] :
      ( ( is_color @ A @ blue )
      | ~ ( house @ B )
      | ~ ( lives @ norwegian @ B )
      | ~ ( house @ A )
      | ~ ( next_to @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_in_blue_house) ).

thf(241,plain,
    ! [B: $i,A: $i] :
      ( ( is_color @ A @ blue )
      | ~ ( house @ B )
      | ~ ( lives @ norwegian @ B )
      | ~ ( house @ A )
      | ~ ( next_to @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(23,axiom,
    ! [B: $i,A: $i] :
      ( ( left_of @ A @ B )
      | ~ ( house @ B )
      | ~ ( is_color @ B @ green )
      | ~ ( house @ A )
      | ~ ( is_color @ A @ ivory ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',green_right_of_ivory) ).

thf(167,plain,
    ! [B: $i,A: $i] :
      ( ( left_of @ A @ B )
      | ~ ( house @ B )
      | ~ ( is_color @ B @ green )
      | ~ ( house @ A )
      | ~ ( is_color @ A @ ivory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(20,axiom,
    person @ english,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english) ).

thf(162,plain,
    person @ english,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(75,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ norwegian @ A )
      | ~ ( drives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_japanese_drive_different) ).

thf(255,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ norwegian @ A )
      | ~ ( drives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(49,axiom,
    color @ ivory,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ivory) ).

thf(209,plain,
    color @ ivory,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(39,axiom,
    person @ japanese,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',japanese) ).

thf(194,plain,
    person @ japanese,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ norwegian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_norwegian_drink_different) ).

thf(145,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ norwegian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(90,axiom,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( drives @ A @ masserati )
      | ( drives @ A @ saab )
      | ( drives @ A @ porsche )
      | ( drives @ A @ honda )
      | ( drives @ A @ jaguar ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive_something) ).

thf(282,plain,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( drives @ A @ masserati )
      | ( drives @ A @ saab )
      | ( drives @ A @ porsche )
      | ( drives @ A @ honda )
      | ( drives @ A @ jaguar ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(117,axiom,
    drink @ coffee,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coffee) ).

thf(327,plain,
    drink @ coffee,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(107,axiom,
    animal @ snails,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snails) ).

thf(310,plain,
    animal @ snails,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(72,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_japanese_own_different_pets) ).

thf(250,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(55,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ ukranian @ A )
      | ~ ( drinks @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ukranian_and_japanese_drink_different) ).

thf(218,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ ukranian @ A )
      | ~ ( drinks @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(112,axiom,
    ~ ( left_of @ house_1 @ house_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_1_not_left_of_house_4) ).

thf(319,plain,
    ~ ( left_of @ house_1 @ house_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(103,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ ukranian @ A )
      | ~ ( lives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ukranian_and_japanese_live_apart) ).

thf(304,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ ukranian @ A )
      | ~ ( lives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(16,axiom,
    car @ jaguar,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jaguar) ).

thf(158,plain,
    car @ jaguar,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(34,axiom,
    animal @ zebra,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zebra) ).

thf(186,plain,
    animal @ zebra,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(25,axiom,
    color @ red,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',red) ).

thf(171,plain,
    color @ red,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( drinks @ A @ orange )
      | ~ ( person @ A )
      | ~ ( drives @ A @ honda ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',honda_with_orange) ).

thf(139,plain,
    ! [A: $i] :
      ( ( drinks @ A @ orange )
      | ~ ( person @ A )
      | ~ ( drives @ A @ honda ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(48,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_3 @ A )
      | ~ ( is_color @ house_4 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_3_and_4_coloured_different) ).

thf(207,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_3 @ A )
      | ~ ( is_color @ house_4 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(84,axiom,
    person @ spaniard,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard) ).

thf(272,plain,
    person @ spaniard,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(128,axiom,
    house @ house_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_house_1) ).

thf(346,plain,
    house @ house_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(53,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_ukranian_drive_different) ).

thf(214,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_3 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_3_and_5_coloured_different) ).

thf(151,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_3 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(110,axiom,
    ~ ( left_of @ house_2 @ house_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_2_not_left_of_house_5) ).

thf(315,plain,
    ~ ( left_of @ house_2 @ house_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(79,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ spaniard @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_spaniard_live_apart) ).

thf(262,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ english @ A )
      | ~ ( lives @ spaniard @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(32,axiom,
    car @ honda,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',honda) ).

thf(183,plain,
    car @ honda,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(85,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ spaniard @ A )
      | ~ ( lives @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spaniard_and_ukranian_live_apart) ).

thf(273,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ spaniard @ A )
      | ~ ( lives @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(50,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_japanese_drive_different) ).

thf(210,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ english @ A )
      | ~ ( drives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(116,axiom,
    lives @ norwegian @ house_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_in_house_house_1) ).

thf(326,plain,
    lives @ norwegian @ house_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(97,axiom,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ norwegian @ A )
      | ~ ( lives @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_japanese_live_apart) ).

thf(294,plain,
    ! [A: $i] :
      ( ~ ( house @ A )
      | ~ ( lives @ norwegian @ A )
      | ~ ( lives @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(125,axiom,
    ! [A: $i] :
      ( ( is_color @ A @ red )
      | ~ ( house @ A )
      | ~ ( lives @ english @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_in_red_house) ).

thf(341,plain,
    ! [A: $i] :
      ( ( is_color @ A @ red )
      | ~ ( house @ A )
      | ~ ( lives @ english @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(82,axiom,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ norwegian @ A )
      | ~ ( drives @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',norwegian_and_ukranian_drive_different) ).

thf(268,plain,
    ! [A: $i] :
      ( ~ ( car @ A )
      | ~ ( drives @ norwegian @ A )
      | ~ ( drives @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(40,axiom,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ japanese @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_japanese_drink_different) ).

thf(195,plain,
    ! [A: $i] :
      ( ~ ( drink @ A )
      | ~ ( drinks @ english @ A )
      | ~ ( drinks @ japanese @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(120,axiom,
    house @ house_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_house_2) ).

thf(332,plain,
    house @ house_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( left_of @ A @ B )
      | ~ ( next_to @ A @ B )
      | ( left_of @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',next_to_means_left_or_right) ).

thf(131,plain,
    ! [B: $i,A: $i] :
      ( ( left_of @ A @ B )
      | ~ ( next_to @ A @ B )
      | ( left_of @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(29,axiom,
    person @ ukranian,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ukranian) ).

thf(178,plain,
    person @ ukranian,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(87,axiom,
    car @ porsche,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',porsche) ).

thf(277,plain,
    car @ porsche,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(21,axiom,
    ~ ( left_of @ house_2 @ house_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_2_not_left_of_house_4) ).

thf(163,plain,
    ~ ( left_of @ house_2 @ house_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(43,axiom,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ ukranian @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',english_and_ukranian_own_different_pets) ).

thf(200,plain,
    ! [A: $i] :
      ( ~ ( animal @ A )
      | ~ ( owns @ english @ A )
      | ~ ( owns @ ukranian @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(74,axiom,
    animal @ horse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',horse) ).

thf(254,plain,
    animal @ horse,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(114,axiom,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( owns @ A @ dog )
      | ( owns @ A @ snails )
      | ( owns @ A @ horse )
      | ( owns @ A @ fox )
      | ( owns @ A @ zebra ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',own_a_pet) ).

thf(322,plain,
    ! [A: $i] :
      ( ~ ( person @ A )
      | ( owns @ A @ dog )
      | ( owns @ A @ snails )
      | ( owns @ A @ horse )
      | ( owns @ A @ fox )
      | ( owns @ A @ zebra ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(123,axiom,
    ~ ( left_of @ house_3 @ house_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_3_not_left_of_house_5) ).

thf(337,plain,
    ~ ( left_of @ house_3 @ house_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(106,axiom,
    left_of @ house_2 @ house_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_2_left_of_house_3) ).

thf(309,plain,
    left_of @ house_2 @ house_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(57,axiom,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_2 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',houses_2_and_5_coloured_different) ).

thf(222,plain,
    ! [A: $i] :
      ( ~ ( color @ A )
      | ~ ( is_color @ house_2 @ A )
      | ~ ( is_color @ house_5 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(62,axiom,
    ~ ( left_of @ house_5 @ house_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',house_5_not_left_of_house_3) ).

thf(232,plain,
    ~ ( left_of @ house_5 @ house_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(368,plain,
    $false,
    inference(cvc4,[status(thm)],[153,129,199,143,234,333,249,308,247,202,174,288,301,257,184,157,189,284,228,289,261,216,179,321,238,147,280,133,243,206,292,270,220,302,160,297,192,165,275,137,252,197,324,224,317,169,141,328,339,212,343,266,205,311,264,161,296,149,176,191,286,291,204,259,313,335,236,181,159,187,172,230,245,345,213,240,155,330,278,306,135,299,226,241,167,162,255,209,194,145,282,327,310,250,218,319,304,158,186,171,139,207,272,346,214,151,315,262,183,273,210,326,294,341,268,195,332,131,178,277,163,200,254,322,337,309,222,232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : PUZ010-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 20:14:38 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.78/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.27/0.92  % [INFO] 	 Parsing done (139ms). 
% 1.27/0.93  % [INFO] 	 Running in sequential loop mode. 
% 1.71/1.12  % [INFO] 	 eprover registered as external prover. 
% 1.71/1.12  % [INFO] 	 cvc4 registered as external prover. 
% 1.71/1.13  % [INFO] 	 Scanning for conjecture ... 
% 1.96/1.21  % [INFO] 	 Found a conjecture and 127 axioms. Running axiom selection ... 
% 2.10/1.28  % [INFO] 	 Axiom selection finished. Selected 127 axioms (removed 0 axioms). 
% 2.43/1.33  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.43/1.33  % [INFO] 	 Type checking passed. 
% 2.43/1.34  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 6.10/2.32  % External prover 'cvc4' found a proof!
% 6.10/2.32  % [INFO] 	 Killing All external provers ... 
% 6.10/2.32  % Time passed: 1801ms (effective reasoning time: 1389ms)
% 6.10/2.32  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.10/2.32  % Axioms used in derivation (127): milk_in_middle, masserati_in_yellow_house, english_and_japanese_live_apart, ukranian_and_japanese_drink_different, house_2_not_left_of_house_5, houses_2_and_4_coloured_different, ukranian_drinks_tea, house_5_not_left_of_house_3, house_5_not_left_of_house_5, house_4_not_left_of_house_3, house_house_1, houses_2_and_5_coloured_different, norwegian_and_ukranian_live_apart, drive_something, house_1_not_left_of_house_4, spaniard_and_norwegian_own_different_pets, porsche, spaniard_and_norwegian_live_apart, masserati_next_to_horse, tea, house_2_not_left_of_house_1, english_and_spaniard_drive_different, house_3_not_left_of_house_1, spaniard_and_japanese_drink_different, blue, house_5_not_left_of_house_4, house_house_5, english_in_red_house, norwegian_and_ukranian_drive_different, milk, english_and_unkranian_drink_different, english_and_norwegian_drive_different, snails, houses_2_and_3_coloured_different, house_4_not_left_of_house_2, english_and_ukranian_drive_different, norwegian_in_house_house_1, houses_4_and_5_coloured_different, spaniard_and_ukranian_drink_different, english_and_ukranian_live_apart, houses_3_and_4_coloured_different, honda, house_1_not_left_of_house_5, norwegian_and_japanese_drink_different, norwegian_and_ukranian_drink_different, house_4_left_of_house_5, house_5_not_left_of_house_2, dog, orange, house_house_4, house_1_not_left_of_house_1, english_and_spaniard_own_different_pets, english_and_japanese_drink_different, spaniard_and_japanese_live_apart, house_3_not_left_of_house_5, ukranian_and_japanese_own_different_pets, spaniard_and_japanese_drive_different, house_3_left_of_house_4, spaniard_and_ukranian_drive_different, english, house_2_not_left_of_house_2, spaniard, japanese_drives_jaguar, horse, norwegian_and_ukranian_own_different_pets, right_mean_next_to, green, green_right_of_ivory, own_a_pet, spaniard_owns_dog, house_3_not_left_of_house_2, water, spaniard_and_ukranian_live_apart, english_and_norwegian_own_different_pets, norwegian_and_japanese_live_apart, ukranian_and_japanese_drive_different, norwegian, house_3_not_left_of_house_3, houses_1_and_4_coloured_different, english_and_norwegian_live_apart, coffee_in_green_house, house_5_not_left_of_house_1, drink_something, english_and_ukranian_own_different_pets, saab, house_4_not_left_of_house_1, english_and_norwegian_drink_different, spaniard_and_norwegian_drive_different, house_4_not_left_of_house_4, english_and_spaniard_drink_different, coffee, next_to_means_left_or_right, yellow, ukranian, house_1_left_of_house_2, house_house_3, english_and_japanese_own_different_pets, zebra, spaniard_and_norwegian_drink_different, spaniard_and_japanese_own_different_pets, porsche_with_snails, house_2_not_left_of_house_4, houses_1_and_2_coloured_different, jaguar, masserati, ivory, houses_1_and_5_coloured_different, house_coloured, house_house_2, houses_3_and_5_coloured_different, left_means_next_to, spaniard_and_ukranian_own_different_pets, saab_with_fox, norwegian_in_blue_house, honda_with_orange, japanese, fox, house_1_not_left_of_house_3, norwegian_and_japanese_drive_different, houses_1_and_3_coloured_different, english_and_japanese_drive_different, house_2_left_of_house_3, ukranian_and_japanese_live_apart, english_and_spaniard_live_apart, red, people_live_somewhere, norwegian_and_japanese_own_different_pets
% 6.10/2.32  % No. of inferences in proof: 257
% 6.10/2.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1801 ms resp. 1389 ms w/o parsing
% 6.10/2.38  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.10/2.38  % [INFO] 	 Killing All external provers ... 
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