TSTP Solution File: MGT061-1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : MGT061-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:35:29 EDT 2023

% Result   : Unsatisfiable 4.34s 2.07s
% Output   : Refutation 4.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  118 (  26 unt;  25 typ;   0 def)
%            Number of atoms       :  237 (  30 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  740 ( 109   ~; 144   |;   0   &; 487   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :  143 (   0   ^; 143   !;   0   ?; 143   :)

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

thf(sk2_type,type,
    sk2: $i ).

thf(fragile_position_type,type,
    fragile_position: $i > $o ).

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

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

thf(sk3_type,type,
    sk3: $i ).

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

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

thf(sigma_type,type,
    sigma: $i ).

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

thf(sk4_type,type,
    sk4: $i ).

thf(sk5_type,type,
    sk5: $i ).

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

thf(dissimilar_type,type,
    dissimilar: $i > $i > $i > $o ).

thf(is_aligned_type,type,
    is_aligned: $i > $i > $o ).

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

thf(high_type,type,
    high: $i ).

thf(mod2_type,type,
    mod2: $i ).

thf(low_type,type,
    low: $i ).

thf(very_low_type,type,
    very_low: $i ).

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

thf(positional_advantage_type,type,
    positional_advantage: $i > $i > $o ).

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

thf(mod1_type,type,
    mod1: $i ).

thf(sk1_type,type,
    sk1: $i > $i ).

thf(35,axiom,
    ! [A: $i] :
      ( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( fragile_position @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_52) ).

thf(120,plain,
    ! [A: $i] :
      ( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( fragile_position @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(46,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ C )
      | ( dissimilar @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).

thf(142,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ C )
      | ( dissimilar @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(3,negated_conjecture,
    ~ ( has_endowment @ sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_68) ).

thf(52,plain,
    ~ ( has_endowment @ sk2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(24,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ( is_aligned @ A @ B )
      | ~ ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = mod1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_58) ).

thf(93,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ( is_aligned @ A @ B )
      | ~ ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = mod1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(13,axiom,
    greater @ high @ mod2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d_64) ).

thf(70,plain,
    greater @ high @ mod2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(8,negated_conjecture,
    ( ~ ( greater @ ( hazard_of_mortality @ sk2 @ sk5 ) @ ( hazard_of_mortality @ sk2 @ sk4 ) )
    | ( ( hazard_of_mortality @ sk2 @ sk4 )
     != ( hazard_of_mortality @ sk2 @ sk3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_73) ).

thf(53,plain,
    ( ~ ( greater @ ( hazard_of_mortality @ sk2 @ sk5 ) @ ( hazard_of_mortality @ sk2 @ sk4 ) )
    | ( ( hazard_of_mortality @ sk2 @ sk4 )
     != ( hazard_of_mortality @ sk2 @ sk3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(40,axiom,
    greater @ mod1 @ low,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_62) ).

thf(129,plain,
    greater @ mod1 @ low,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(9,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( dissimilar @ A @ B @ C )
      | ~ ( is_aligned @ A @ B )
      | ~ ( is_aligned @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).

thf(59,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( dissimilar @ A @ B @ C )
      | ~ ( is_aligned @ A @ B )
      | ~ ( is_aligned @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(15,axiom,
    greater @ low @ very_low,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_63) ).

thf(72,plain,
    greater @ low @ very_low,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(19,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( ( age @ A @ B )
       != zero )
      | ~ ( greater @ ( age @ A @ C ) @ sigma )
      | ( dissimilar @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_48) ).

thf(82,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( ( age @ A @ B )
       != zero )
      | ~ ( greater @ ( age @ A @ C ) @ sigma )
      | ( dissimilar @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(7,negated_conjecture,
    greater @ ( age @ sk2 @ sk5 ) @ sigma,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_72) ).

thf(51,plain,
    greater @ ( age @ sk2 @ sk5 ) @ sigma,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(5,negated_conjecture,
    greater @ sigma @ zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_70) ).

thf(47,plain,
    greater @ sigma @ zero,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(44,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( smaller @ A @ B )
      | ( greater @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).

thf(138,plain,
    ! [B: $i,A: $i] :
      ( ~ ( smaller @ A @ B )
      | ( greater @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(28,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ~ ( is_aligned @ A @ B )
      | ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = mod2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).

thf(101,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ~ ( is_aligned @ A @ B )
      | ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = mod2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(10,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( dissimilar @ A @ B @ C )
      | ( is_aligned @ A @ B )
      | ( is_aligned @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_41) ).

thf(61,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( dissimilar @ A @ B @ C )
      | ( is_aligned @ A @ B )
      | ( is_aligned @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(22,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ B )
      | ( dissimilar @ A @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_46) ).

thf(89,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ B )
      | ( dissimilar @ A @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(42,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ( smaller @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).

thf(133,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ( smaller @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(34,axiom,
    ! [B: $i,A: $i] :
      ( ( smaller @ A @ B )
      | ( A = B )
      | ( greater @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).

thf(117,plain,
    ! [B: $i,A: $i] :
      ( ( smaller @ A @ B )
      | ( A = B )
      | ( greater @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(20,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ C )
      | ( greater @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).

thf(85,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ C )
      | ( greater @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(31,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ B )
      | ( dissimilar @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_43) ).

thf(109,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ B )
      | ( dissimilar @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(37,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( fragile_position @ A )
      | ~ ( greater @ ( age @ A @ B ) @ sigma )
      | ~ ( positional_advantage @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_51) ).

thf(124,plain,
    ! [B: $i,A: $i] :
      ( ~ ( fragile_position @ A )
      | ~ ( greater @ ( age @ A @ B ) @ sigma )
      | ~ ( positional_advantage @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(25,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_endowment @ A )
      | ~ ( has_immunity @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_39) ).

thf(96,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_endowment @ A )
      | ~ ( has_immunity @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(16,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( ( age @ A @ B )
       != zero )
      | ( is_aligned @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).

thf(73,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( ( age @ A @ B )
       != zero )
      | ( is_aligned @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
      | ( positional_advantage @ A @ ( sk1 @ A ) )
      | ( fragile_position @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_55) ).

thf(128,plain,
    $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(14,axiom,
    greater @ mod2 @ low,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_65) ).

thf(71,plain,
    greater @ mod2 @ low,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(4,negated_conjecture,
    ( ( age @ sk2 @ sk3 )
    = zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_69) ).

thf(54,plain,
    ( ( age @ sk2 @ sk3 )
    = zero ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(6,negated_conjecture,
    smaller_or_equal @ ( age @ sk2 @ sk4 ) @ sigma,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_71) ).

thf(49,plain,
    smaller_or_equal @ ( age @ sk2 @ sk4 ) @ sigma,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(33,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( smaller_or_equal @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).

thf(113,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( smaller_or_equal @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(17,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ~ ( is_aligned @ A @ B )
      | ~ ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = low ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_57) ).

thf(76,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ~ ( is_aligned @ A @ B )
      | ~ ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = low ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( positional_advantage @ A @ ( sk1 @ A ) )
      | ( fragile_position @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_53) ).

thf(98,plain,
    ! [A: $i] :
      ( ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( positional_advantage @ A @ ( sk1 @ A ) )
      | ( fragile_position @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(45,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( dissimilar @ A @ B @ C )
      | ( organization @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_40) ).

thf(140,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( dissimilar @ A @ B @ C )
      | ( organization @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(23,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ( greater_or_equal @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).

thf(91,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ( greater_or_equal @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(41,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ( is_aligned @ A @ B )
      | ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = high ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_60) ).

thf(130,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( has_immunity @ A @ B )
      | ( is_aligned @ A @ B )
      | ( positional_advantage @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = high ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(43,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( greater_or_equal @ A @ B )
      | ( greater @ A @ B )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).

thf(135,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater_or_equal @ A @ B )
      | ( greater @ A @ B )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(1,negated_conjecture,
    organization @ sk2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_66) ).

thf(48,plain,
    organization @ sk2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( greater_or_equal @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).

thf(63,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( greater_or_equal @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(2,negated_conjecture,
    fragile_position @ sk2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7_67) ).

thf(50,plain,
    fragile_position @ sk2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(12,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( ( age @ A @ B )
       != zero )
      | ~ ( dissimilar @ A @ B @ C )
      | ( greater @ ( age @ A @ C ) @ sigma ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_49) ).

thf(67,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ( ( age @ A @ B )
       != zero )
      | ~ ( dissimilar @ A @ B @ C )
      | ( greater @ ( age @ A @ C ) @ sigma ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(21,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( smaller @ A @ B )
      | ( smaller_or_equal @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).

thf(87,plain,
    ! [B: $i,A: $i] :
      ( ~ ( smaller @ A @ B )
      | ( smaller_or_equal @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(29,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( smaller_or_equal @ A @ B )
      | ( smaller @ A @ B )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).

thf(104,plain,
    ! [B: $i,A: $i] :
      ( ~ ( smaller_or_equal @ A @ B )
      | ( smaller @ A @ B )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(30,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( fragile_position @ A )
      | ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
      | ( positional_advantage @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_50) ).

thf(107,plain,
    ! [B: $i,A: $i] :
      ( ~ ( fragile_position @ A )
      | ~ ( smaller_or_equal @ ( age @ A @ B ) @ sigma )
      | ( positional_advantage @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(38,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ C )
      | ( dissimilar @ A @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_45) ).

thf(126,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( is_aligned @ A @ B )
      | ( is_aligned @ A @ C )
      | ( dissimilar @ A @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(18,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( has_immunity @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = very_low ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_56) ).

thf(79,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A )
      | ~ ( has_immunity @ A @ B )
      | ( ( hazard_of_mortality @ A @ B )
        = very_low ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(32,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).

thf(111,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
      | ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( fragile_position @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_54) ).

thf(122,plain,
    ! [A: $i] :
      ( ~ ( positional_advantage @ A @ ( sk1 @ A ) )
      | ( greater @ ( age @ A @ ( sk1 @ A ) ) @ sigma )
      | ( fragile_position @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(27,axiom,
    greater @ high @ mod1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a_61) ).

thf(100,plain,
    greater @ high @ mod1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(152,plain,
    $false,
    inference(cvc4,[status(thm)],[120,142,52,93,70,53,129,59,72,82,51,47,138,101,61,89,133,117,85,109,124,96,73,128,71,54,49,113,76,98,140,91,130,135,48,63,50,67,87,104,107,126,79,111,122,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : MGT061-1 : TPTP v8.1.2. Released v2.4.0.
% 0.16/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n002.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May 18 23:54:06 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.97/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.43/1.07  % [INFO] 	 Parsing done (148ms). 
% 1.43/1.08  % [INFO] 	 Running in sequential loop mode. 
% 1.92/1.29  % [INFO] 	 eprover registered as external prover. 
% 1.92/1.29  % [INFO] 	 cvc4 registered as external prover. 
% 1.92/1.29  % [INFO] 	 Scanning for conjecture ... 
% 2.11/1.36  % [INFO] 	 Found a conjecture and 38 axioms. Running axiom selection ... 
% 2.20/1.41  % [INFO] 	 Axiom selection finished. Selected 38 axioms (removed 0 axioms). 
% 2.43/1.45  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.43/1.45  % [INFO] 	 Type checking passed. 
% 2.43/1.45  % [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 ... 
% 4.34/2.07  % External prover 'cvc4' found a proof!
% 4.34/2.07  % [INFO] 	 Killing All external provers ... 
% 4.34/2.07  % Time passed: 1518ms (effective reasoning time: 991ms)
% 4.34/2.07  % 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)>
% 4.34/2.07  % Axioms used in derivation (38): assumption_18a_61, assumption_18c_63, definition_2_45, definition_3_51, definition_greater_or_equal_5, definition_2_40, assumption_15_48, definition_2_44, assumption_13_47, definition_smaller_or_equal_3, definition_2_46, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_2_42, meaning_postulate_greater_strict_9, definition_3_54, assumption_18d_64, assumption_17_59, assumption_18b_62, definition_3_55, assumption_17_56, definition_greater_or_equal_6, definition_3_52, definition_2_41, assumption_17_57, assumption_18e_65, definition_smaller_or_equal_2, assumption_1_39, assumption_17_58, definition_3_53, assumption_17_60, definition_greater_or_equal_4, definition_smaller_8, meaning_postulate_greater_transitive_10, definition_3_50, definition_2_43, assumption_15_49, definition_smaller_7
% 4.34/2.07  % No. of inferences in proof: 93
% 4.34/2.07  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1518 ms resp. 991 ms w/o parsing
% 4.57/2.13  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.57/2.13  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------