TSTP Solution File: MGT005-2 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : MGT005-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n018.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 : Tue May 21 00:41:14 EDT 2024

% Result   : Unsatisfiable 4.36s 2.24s
% Output   : Refutation 4.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  104 (  43 unt;  27 typ;   0 def)
%            Number of atoms       :  265 (  14 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives : 1136 ( 186   ~; 188   |;   0   &; 762   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;  16 con; 0-8 aty)
%            Number of variables   :  188 (   0   ^ 188   !;   0   ?; 188   :)

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

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

thf(sk15_type,type,
    sk15: $i ).

thf(sk6_type,type,
    sk6: $i ).

thf(sk17_type,type,
    sk17: $i ).

thf(class_type,type,
    class: $i > $i > $i > $o ).

thf(sk8_type,type,
    sk8: $i ).

thf(survival_chance_type,type,
    survival_chance: $i > $i > $i > $o ).

thf(sk9_type,type,
    sk9: $i ).

thf(reorganization_type,type,
    reorganization: $i > $i > $i > $o ).

thf(sk16_type,type,
    sk16: $i ).

thf(reorganization_type_type,type,
    reorganization_type: $i > $i > $i > $o ).

thf(sk7_type,type,
    sk7: $i ).

thf(reorganization_free_type,type,
    reorganization_free: $i > $i > $i > $o ).

thf(sk10_type,type,
    sk10: $i ).

thf(sk14_type,type,
    sk14: $i ).

thf(sk11_type,type,
    sk11: $i ).

thf(complexity_type,type,
    complexity: $i > $i > $i > $o ).

thf(sk12_type,type,
    sk12: $i ).

thf(sk13_type,type,
    sk13: $i ).

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

thf(p1_type,type,
    p1: $i ).

thf(p2_type,type,
    p2: $i ).

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

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

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

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

thf(11,negated_conjecture,
    reorganization_type @ sk5 @ sk7 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_52) ).

thf(56,plain,
    reorganization_type @ sk5 @ sk7 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(20,negated_conjecture,
    sk14 = sk16,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_61) ).

thf(42,plain,
    sk14 = sk16,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(7,negated_conjecture,
    survival_chance @ sk5 @ sk9 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_48) ).

thf(52,plain,
    survival_chance @ sk5 @ sk9 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(30,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( survival_chance @ E @ ( sk4 @ A @ B @ H @ F @ G @ D @ E @ C ) @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_FOL_40) ).

thf(84,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( survival_chance @ E @ ( sk4 @ A @ B @ H @ F @ G @ D @ E @ C ) @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(24,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ C @ B )
      | ~ ( organization @ C @ D )
      | ~ ( class @ A @ E @ B )
      | ~ ( class @ C @ E @ B )
      | ~ ( reorganization @ A @ B @ F )
      | ~ ( reorganization @ C @ B @ D )
      | ~ ( reorganization_type @ A @ G @ B )
      | ~ ( reorganization_type @ C @ G @ B )
      | ~ ( complexity @ A @ H @ B )
      | ~ ( complexity @ C @ I @ B )
      | ~ ( greater @ I @ H )
      | ( greater @ D @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_FOL_35) ).

thf(70,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ C @ B )
      | ~ ( organization @ C @ D )
      | ~ ( class @ A @ E @ B )
      | ~ ( class @ C @ E @ B )
      | ~ ( reorganization @ A @ B @ F )
      | ~ ( reorganization @ C @ B @ D )
      | ~ ( reorganization_type @ A @ G @ B )
      | ~ ( reorganization_type @ C @ G @ B )
      | ~ ( complexity @ A @ H @ B )
      | ~ ( complexity @ C @ I @ B )
      | ~ ( greater @ I @ H )
      | ( greater @ D @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(33,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( greater @ D @ B )
      | ~ ( greater @ C @ D )
      | ( organization @ A @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp13_31) ).

thf(92,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( greater @ D @ B )
      | ~ ( greater @ C @ D )
      | ( organization @ A @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(3,negated_conjecture,
    organization @ sk5 @ sk17,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_44) ).

thf(53,plain,
    organization @ sk5 @ sk17,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(35,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_27) ).

thf(96,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(14,negated_conjecture,
    survival_chance @ sk5 @ sk10 @ sk14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_55) ).

thf(41,plain,
    survival_chance @ sk5 @ sk10 @ sk14,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(21,negated_conjecture,
    ~ ( greater @ sk10 @ sk11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_62) ).

thf(45,plain,
    ~ ( greater @ sk10 @ sk11 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(29,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_26) ).

thf(80,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(2,negated_conjecture,
    organization @ sk6 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_43) ).

thf(48,plain,
    organization @ sk6 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(19,negated_conjecture,
    ( ( sk14 != sk17 )
    | ( greater @ sk10 @ sk11 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_60) ).

thf(58,plain,
    ( ( sk14 != sk17 )
    | ( greater @ sk10 @ sk11 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(12,negated_conjecture,
    reorganization_type @ sk6 @ sk7 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_53) ).

thf(51,plain,
    reorganization_type @ sk6 @ sk7 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(34,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( reorganization_free @ A @ B @ C )
      | ~ ( survival_chance @ A @ D @ B )
      | ~ ( survival_chance @ A @ E @ C )
      | ~ ( greater @ C @ B )
      | ( greater @ E @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_33) ).

thf(94,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( reorganization_free @ A @ B @ C )
      | ~ ( survival_chance @ A @ D @ B )
      | ~ ( survival_chance @ A @ E @ C )
      | ~ ( greater @ C @ B )
      | ( greater @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(13,negated_conjecture,
    reorganization_free @ sk5 @ sk16 @ sk17,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_54) ).

thf(47,plain,
    reorganization_free @ sk5 @ sk16 @ sk17,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(37,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ C )
      | ( greater @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp11_28) ).

thf(100,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ C )
      | ( greater @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(9,negated_conjecture,
    reorganization @ sk5 @ sk15 @ sk16,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_50) ).

thf(46,plain,
    reorganization @ sk5 @ sk15 @ sk16,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(8,negated_conjecture,
    survival_chance @ sk6 @ sk9 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_49) ).

thf(57,plain,
    survival_chance @ sk6 @ sk9 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(28,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( reorganization @ A @ D @ E )
      | ~ ( survival_chance @ A @ F @ B )
      | ~ ( survival_chance @ A @ G @ C )
      | ( greater @ D @ B )
      | ~ ( greater @ C @ B )
      | ( greater @ C @ E )
      | ( greater @ F @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_34) ).

thf(78,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( reorganization @ A @ D @ E )
      | ~ ( survival_chance @ A @ F @ B )
      | ~ ( survival_chance @ A @ G @ C )
      | ( greater @ D @ B )
      | ~ ( greater @ C @ B )
      | ( greater @ C @ E )
      | ( greater @ F @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(32,axiom,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ C @ B )
      | ~ ( organization @ A @ D )
      | ~ ( organization @ C @ D )
      | ~ ( class @ A @ E @ B )
      | ~ ( class @ C @ E @ B )
      | ~ ( survival_chance @ A @ F @ B )
      | ~ ( survival_chance @ C @ F @ B )
      | ~ ( reorganization @ A @ B @ D )
      | ~ ( reorganization @ C @ B @ G )
      | ~ ( reorganization_type @ A @ H @ B )
      | ~ ( reorganization_type @ C @ H @ B )
      | ~ ( survival_chance @ A @ I @ D )
      | ~ ( survival_chance @ C @ J @ D )
      | ~ ( complexity @ A @ K @ B )
      | ~ ( complexity @ C @ L @ B )
      | ~ ( greater @ L @ K )
      | ( greater @ I @ J )
      | ( I = J ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11_FOL_36) ).

thf(89,plain,
    ! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ C @ B )
      | ~ ( organization @ A @ D )
      | ~ ( organization @ C @ D )
      | ~ ( class @ A @ E @ B )
      | ~ ( class @ C @ E @ B )
      | ~ ( survival_chance @ A @ F @ B )
      | ~ ( survival_chance @ C @ F @ B )
      | ~ ( reorganization @ A @ B @ D )
      | ~ ( reorganization @ C @ B @ G )
      | ~ ( reorganization_type @ A @ H @ B )
      | ~ ( reorganization_type @ C @ H @ B )
      | ~ ( survival_chance @ A @ I @ D )
      | ~ ( survival_chance @ C @ J @ D )
      | ~ ( complexity @ A @ K @ B )
      | ~ ( complexity @ C @ L @ B )
      | ~ ( greater @ L @ K )
      | ( greater @ I @ J )
      | ( I = J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(26,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( greater @ A @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_FOL_38) ).

thf(74,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( greater @ A @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(15,negated_conjecture,
    survival_chance @ sk6 @ sk11 @ sk14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_56) ).

thf(60,plain,
    survival_chance @ sk6 @ sk11 @ sk14,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(38,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( survival_chance @ C @ ( sk3 @ A @ B @ H @ F @ G @ D @ E @ C ) @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_FOL_39) ).

thf(102,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( survival_chance @ C @ ( sk3 @ A @ B @ H @ F @ G @ D @ E @ C ) @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(6,negated_conjecture,
    class @ sk6 @ sk8 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_47) ).

thf(44,plain,
    class @ sk6 @ sk8 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(4,negated_conjecture,
    organization @ sk6 @ sk17,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_45) ).

thf(59,plain,
    organization @ sk6 @ sk17,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(18,negated_conjecture,
    greater @ sk13 @ sk12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_59) ).

thf(54,plain,
    greater @ sk13 @ sk12,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(17,negated_conjecture,
    complexity @ sk6 @ sk13 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_58) ).

thf(49,plain,
    complexity @ sk6 @ sk13 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(31,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( ( sk3 @ A @ B @ H @ F @ G @ D @ E @ C )
        = ( sk4 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_FOL_41) ).

thf(86,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( ( sk3 @ A @ B @ H @ F @ G @ D @ E @ C )
        = ( sk4 @ A @ B @ H @ F @ G @ D @ E @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(27,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ( survival_chance @ A @ ( sk1 @ B @ A ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp12_30) ).

thf(76,plain,
    ! [B: $i,A: $i] :
      ( ~ ( organization @ A @ B )
      | ( survival_chance @ A @ ( sk1 @ B @ A ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(5,negated_conjecture,
    class @ sk5 @ sk8 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_46) ).

thf(39,plain,
    class @ sk5 @ sk8 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(36,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( reorganization @ A @ B @ C )
      | ( greater @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7_32) ).

thf(98,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( reorganization @ A @ B @ C )
      | ( greater @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(22,negated_conjecture,
    sk10 != sk11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_63) ).

thf(50,plain,
    sk10 != sk11,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(23,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( survival_chance @ A @ B @ C )
      | ~ ( survival_chance @ D @ E @ C )
      | ( greater @ p1 @ p2 )
      | ( p1 = p2 )
      | ( greater @ p2 @ p1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp14_29) ).

thf(67,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( survival_chance @ A @ B @ C )
      | ~ ( survival_chance @ D @ E @ C )
      | ( greater @ p1 @ p2 )
      | ( p1 = p2 )
      | ( greater @ p2 @ p1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(25,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( greater @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_FOL_37) ).

thf(72,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( survival_chance @ C @ D @ B )
      | ~ ( survival_chance @ E @ F @ B )
      | ~ ( survival_chance @ C @ G @ A )
      | ~ ( survival_chance @ E @ H @ A )
      | ~ ( greater @ G @ D )
      | ~ ( greater @ F @ G )
      | ( greater @ ( sk2 @ A @ B @ H @ F @ G @ D @ E @ C ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(1,negated_conjecture,
    organization @ sk5 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_42) ).

thf(43,plain,
    organization @ sk5 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(10,negated_conjecture,
    reorganization @ sk6 @ sk15 @ sk17,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_51) ).

thf(40,plain,
    reorganization @ sk6 @ sk15 @ sk17,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(16,negated_conjecture,
    complexity @ sk5 @ sk12 @ sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL_57) ).

thf(55,plain,
    complexity @ sk5 @ sk12 @ sk15,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(104,plain,
    $false,
    inference(cvc4,[status(thm)],[56,42,52,84,70,92,53,96,41,45,80,48,58,51,94,47,100,46,57,78,89,74,60,102,44,59,54,49,86,76,39,98,50,67,72,43,40,55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MGT005-2 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 00:06:08 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.98/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.27/1.07  % [INFO] 	 Parsing done (165ms). 
% 1.45/1.08  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.36  % [INFO] 	 eprover registered as external prover. 
% 1.84/1.36  % [INFO] 	 cvc4 registered as external prover. 
% 1.98/1.36  % [INFO] 	 Scanning for conjecture ... 
% 1.98/1.44  % [INFO] 	 Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ... 
% 2.21/1.48  % [INFO] 	 Axiom selection finished. Selected 16 axioms (removed 0 axioms). 
% 2.35/1.53  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.53/1.53  % [INFO] 	 Type checking passed. 
% 2.53/1.54  % [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 ... 
% 4.36/2.24  % External prover 'cvc4' found a proof!
% 4.36/2.24  % [INFO] 	 Killing All external provers ... 
% 4.36/2.24  % Time passed: 1720ms (effective reasoning time: 1153ms)
% 4.36/2.24  % Axioms used in derivation (16): a15_FOL_40, mp14_29, a15_FOL_37, a15_FOL_39, t3_FOL_33, mp11_28, a10_FOL_35, mp7_32, t4_FOL_34, mp12_30, a11_FOL_36, mp6_1_26, mp6_2_27, a15_FOL_38, a15_FOL_41, mp13_31
% 4.36/2.24  % No. of inferences in proof: 77
% 4.36/2.24  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1720 ms resp. 1153 ms w/o parsing
% 4.60/2.32  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.60/2.32  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------