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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n010.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 : Sun Sep 27 08:00:45 AM UTC 2026

% Result   : Unsatisfiable 8.78s 3.50s
% Output   : Refutation 8.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   77 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  223 (  32 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  910 ( 118   ~; 146   |;   0   &; 646   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   7 con; 0-2 aty)
%            Number of variables   :  142 (   0   ^; 142   !;   0   ?; 142   :)

% Comments : 
%------------------------------------------------------------------------------
thf(organization_decl,type,
    organization: $i > $o ).

thf(sk2_decl,type,
    sk2: $i ).

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

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

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

thf(sk3_decl,type,
    sk3: $i ).

thf(sk4_decl,type,
    sk4: $i ).

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

thf(greater_decl,type,
    greater: $i > $i > $o ).

thf(sk5_decl,type,
    sk5: $i ).

thf(sk6_decl,type,
    sk6: $i ).

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

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

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

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

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

thf(sk1_decl,type,
    sk1: $i > $i ).

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

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

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

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

thf(11,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ internal_friction ) )
        = ( C @ ( A @ internal_friction ) ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9_60) ).

thf(56,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ internal_friction ) )
        = ( C @ ( A @ internal_friction ) ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(2,negated_conjecture,
    sk2 @ has_endowment,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_62) ).

thf(42,plain,
    sk2 @ has_endowment,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(9,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ greater ) )
      | ~ ( C @ ( B @ greater ) )
      | ~ ( B @ ( A @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).

thf(52,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ greater ) )
      | ~ ( C @ ( B @ greater ) )
      | ~ ( B @ ( A @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(27,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ greater ) )
      | ~ ( B @ ( A @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).

thf(93,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ greater ) )
      | ~ ( B @ ( A @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( A @ sk1 @ ( A @ has_immunity ) )
      | ~ ( A @ sk1 @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_47) ).

thf(84,plain,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( A @ sk1 @ ( A @ has_immunity ) )
      | ~ ( A @ sk1 @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(37,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
      | ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater_or_equal ) )
      | ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
      | ( C @ ( A @ has_immunity ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_50) ).

thf(117,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
      | ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater_or_equal ) )
      | ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
      | ( C @ ( A @ has_immunity ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(15,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ has_immunity ) )
      | ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
      | ~ ( A @ has_endowment ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).

thf(65,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ has_immunity ) )
      | ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
      | ~ ( A @ has_endowment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(6,negated_conjecture,
    sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_66) ).

thf(41,plain,
    sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(32,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) )
      | ( C @ ( A @ has_immunity ) )
      | ~ ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_49) ).

thf(105,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) )
      | ( C @ ( A @ has_immunity ) )
      | ~ ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(4,negated_conjecture,
    eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_64) ).

thf(45,plain,
    eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,negated_conjecture,
    eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_65) ).

thf(39,plain,
    eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( A @ organization )
      | ~ ( A @ has_endowment ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).

thf(103,plain,
    ! [A: $i] :
      ( ( A @ organization )
      | ~ ( A @ has_endowment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(21,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ smaller ) )
      | ~ ( B @ ( A @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).

thf(80,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ smaller ) )
      | ~ ( B @ ( A @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(35,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
      | ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ smaller_or_equal ) )
      | ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_53) ).

thf(112,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
      | ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ smaller_or_equal ) )
      | ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(16,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
      | ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_56) ).

thf(67,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
      | ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(29,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
      | ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8_59) ).

thf(99,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
      | ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_44) ).

thf(107,plain,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(26,axiom,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( B @ ( A @ smaller ) )
      | ~ ( B @ ( A @ smaller_or_equal ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).

thf(90,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( B @ ( A @ smaller ) )
      | ~ ( B @ ( A @ smaller_or_equal ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(17,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ position ) )
        = ( C @ ( A @ position ) ) )
      | ( ( B @ ( A @ external_ties ) )
       != ( C @ ( A @ external_ties ) ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_57) ).

thf(69,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ position ) )
        = ( C @ ( A @ position ) ) )
      | ( ( B @ ( A @ external_ties ) )
       != ( C @ ( A @ external_ties ) ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(30,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
      | ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
      | ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) )
      | ( C @ ( A @ has_immunity ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_51) ).

thf(101,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
      | ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
      | ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) )
      | ( C @ ( A @ has_immunity ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(25,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ smaller ) )
      | ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
      | ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_54) ).

thf(88,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ smaller ) )
      | ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
      | ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
      | ~ ( A @ sk1 @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_46) ).

thf(61,plain,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
      | ~ ( A @ sk1 @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(19,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( C @ ( A @ hazard_of_mortality ) )
        = ( B @ ( A @ hazard_of_mortality ) ) )
      | ( ( C @ ( A @ position ) )
       != ( B @ ( A @ position ) ) )
      | ( ( C @ ( A @ capability ) )
       != ( B @ ( A @ capability ) ) )
      | ( C @ ( A @ has_immunity ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_52) ).

thf(74,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( C @ ( A @ hazard_of_mortality ) )
        = ( B @ ( A @ hazard_of_mortality ) ) )
      | ( ( C @ ( A @ position ) )
       != ( B @ ( A @ position ) ) )
      | ( ( C @ ( A @ capability ) )
       != ( B @ ( A @ capability ) ) )
      | ( C @ ( A @ has_immunity ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(34,axiom,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( B @ ( A @ greater ) )
      | ~ ( B @ ( A @ greater_or_equal ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).

thf(109,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( B @ ( A @ greater ) )
      | ~ ( B @ ( A @ greater_or_equal ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(20,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ capability ) )
        = ( C @ ( A @ capability ) ) )
      | ( ( B @ ( A @ internal_friction ) )
       != ( C @ ( A @ internal_friction ) ) )
      | ( ( B @ ( A @ stock_of_knowledge ) )
       != ( C @ ( A @ stock_of_knowledge ) ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_55) ).

thf(77,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ capability ) )
        = ( C @ ( A @ capability ) ) )
      | ( ( B @ ( A @ internal_friction ) )
       != ( C @ ( A @ internal_friction ) ) )
      | ( ( B @ ( A @ stock_of_knowledge ) )
       != ( C @ ( A @ stock_of_knowledge ) ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(3,negated_conjecture,
    sk4 @ ( sk2 @ age ) @ ( sk3 @ ( sk2 @ age ) @ smaller_or_equal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_63) ).

thf(44,plain,
    sk4 @ ( sk2 @ age ) @ ( sk3 @ ( sk2 @ age ) @ smaller_or_equal ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(12,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ greater_or_equal ) )
      | ~ ( B @ ( A @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).

thf(59,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ greater_or_equal ) )
      | ~ ( B @ ( A @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(10,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ smaller_or_equal ) )
      | ~ ( B @ ( A @ smaller ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).

thf(54,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ smaller_or_equal ) )
      | ~ ( B @ ( A @ smaller ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( A @ sk1 @ ( A @ has_immunity ) )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_45) ).

thf(86,plain,
    ! [A: $i] :
      ( ( A @ has_endowment )
      | ( A @ sk1 @ ( A @ has_immunity ) )
      | ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(8,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ greater_or_equal ) )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).

thf(48,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ greater_or_equal ) )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ has_immunity ) )
      | ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
      | ~ ( A @ has_endowment ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).

thf(63,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ has_immunity ) )
      | ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
      | ~ ( A @ has_endowment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(28,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ smaller_or_equal ) )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).

thf(95,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ smaller_or_equal ) )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(18,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
      | ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7_58) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
      | ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(7,negated_conjecture,
    ( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
     != ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
    | ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
    | ~ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_67) ).

thf(43,plain,
    ( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
     != ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
    | ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
    | ~ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(1,negated_conjecture,
    sk2 @ organization,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_61) ).

thf(40,plain,
    sk2 @ organization,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(36,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = ( C @ ( A @ hazard_of_mortality ) ) )
      | ~ ( C @ ( A @ has_immunity ) )
      | ~ ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_48) ).

thf(114,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = ( C @ ( A @ hazard_of_mortality ) ) )
      | ~ ( C @ ( A @ has_immunity ) )
      | ~ ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(38,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ greater ) )
      | ( A = B )
      | ( B @ ( A @ smaller ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).

thf(119,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ greater ) )
      | ( A = B )
      | ( B @ ( A @ smaller ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(22,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ greater ) )
      | ~ ( B @ ( A @ smaller ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).

thf(82,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ greater ) )
      | ~ ( B @ ( A @ smaller ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(902,plain,
    $false,
    inference(e,[status(thm)],[56,42,52,93,84,117,65,41,105,45,39,103,80,112,67,99,107,90,69,101,88,61,74,109,77,44,59,54,86,48,63,95,72,43,40,114,119,82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.11/0.39  % Computer : n010.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sat Sep 26 00:09:16 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.83/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.20/1.18  % [INFO] 	 Parsing done (206ms). 
% 1.20/1.19  % [INFO] 	 Running in sequential loop mode. 
% 1.85/1.58  % [INFO] 	 eprover registered as external prover. 
% 1.85/1.59  % [INFO] 	 Scanning for conjecture ... 
% 2.23/1.70  % [INFO] 	 Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ... 
% 2.23/1.77  % [INFO] 	 Axiom selection finished. Selected 31 axioms (removed 0 axioms). 
% 2.41/1.82  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.41/1.83  % [INFO] 	 Type checking passed. 
% 2.41/1.84  % [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 ... 
% 8.37/3.49  % External prover 'e' found a proof!
% 8.37/3.49  % [INFO] 	 Killing All external provers ... 
% 8.37/3.50  % Time passed: 2961ms (effective reasoning time: 2297ms)
% 8.78/3.50  % Axioms used in derivation (31): assumption_4_52, assumption_3_49, definition_greater_or_equal_5, definition_1_47, definition_1_41, assumption_6_57, definition_1_42, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_smaller_or_equal_2, assumption_4_50, assumption_7_58, definition_greater_or_equal_4, assumption_5_53, definition_1_44, definition_1_43, assumption_5_55, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_4_51, assumption_9_60, assumption_6_56, assumption_5_54, definition_1_46, definition_smaller_8, assumption_2_48, meaning_postulate_greater_transitive_10, meaning_postulate_greater_strict_9, assumption_8_59, definition_smaller_7, definition_1_45
% 8.78/3.50  % No. of inferences in proof: 77
% 8.78/3.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2961 ms resp. 2297 ms w/o parsing
% 8.78/3.57  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.78/3.57  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------