TSTP Solution File: MGT065-1 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : MGT065-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 00:41:40 EDT 2024
% Result : Unsatisfiable 3.74s 1.92s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 80
% Syntax : Number of formulae : 133 ( 35 unt; 28 typ; 0 def)
% Number of atoms : 259 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 808 ( 114 ~; 154 |; 0 &; 540 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 14 con; 0-3 aty)
% Number of variables : 142 ( 0 ^ 142 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(robust_position_type,type,
robust_position: $i > $o ).
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(tau_type,type,
tau: $i ).
thf(eta_type,type,
eta: $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(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(positional_advantage_type,type,
positional_advantage: $i > $i > $o ).
thf(low_type,type,
low: $i ).
thf(very_low_type,type,
very_low: $i ).
thf(high_type,type,
high: $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(mod1_type,type,
mod1: $i ).
thf(mod2_type,type,
mod2: $i ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ B )
| ( is_aligned @ A @ B )
| ( dissimilar @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_50) ).
thf(88,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)],[21]) ).
thf(35,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ B )
| ( is_aligned @ A @ C )
| ( dissimilar @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_52) ).
thf(115,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)],[35]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(125,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(6,negated_conjecture,
greater @ tau @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_72) ).
thf(57,plain,
greater @ tau @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(137,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(11,negated_conjecture,
greater @ ( age @ sk2 @ sk5 ) @ sigma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_77) ).
thf(64,plain,
greater @ ( age @ sk2 @ sk5 ) @ sigma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(13,negated_conjecture,
greater @ ( age @ sk2 @ sk5 ) @ eta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_79) ).
thf(59,plain,
greater @ ( age @ sk2 @ sk5 ) @ eta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,negated_conjecture,
( ( age @ sk2 @ sk3 )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_70) ).
thf(66,plain,
( ( age @ sk2 @ sk3 )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(43,axiom,
! [A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ ( sk1 @ A ) )
| ( has_immunity @ A @ ( sk1 @ A ) )
| ( has_endowment @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_46) ).
thf(135,plain,
! [A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ ( sk1 @ A ) )
| ( has_immunity @ A @ ( sk1 @ A ) )
| ( has_endowment @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(52,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/sandbox/benchmark/theBenchmark.p',assumption_15_56) ).
thf(154,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)],[52]) ).
thf(29,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(104,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(1,negated_conjecture,
organization @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_67) ).
thf(56,plain,
organization @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(47,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/sandbox/benchmark/theBenchmark.p',assumption_15_55) ).
thf(142,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)],[47]) ).
thf(51,axiom,
greater @ high @ mod1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a_62) ).
thf(153,plain,
greater @ high @ mod1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(30,axiom,
greater @ mod1 @ low,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_63) ).
thf(106,plain,
greater @ mod1 @ low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(49,axiom,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(147,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(12,negated_conjecture,
greater @ ( age @ sk2 @ sk5 ) @ tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_78) ).
thf(61,plain,
greater @ ( age @ sk2 @ sk5 ) @ tau,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(42,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/sandbox/benchmark/theBenchmark.p',assumption_17_59) ).
thf(132,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)],[42]) ).
thf(20,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/sandbox/benchmark/theBenchmark.p',assumption_17_61) ).
thf(85,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)],[20]) ).
thf(28,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ B )
| ( is_aligned @ A @ C )
| ( dissimilar @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_51) ).
thf(102,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)],[28]) ).
thf(2,negated_conjecture,
( ( robust_position @ sk2 )
| ( fragile_position @ sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_68) ).
thf(60,plain,
( ( robust_position @ sk2 )
| ( fragile_position @ sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(36,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(117,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(23,axiom,
! [A: $i] :
( ~ ( has_endowment @ A )
| ( organization @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_40) ).
thf(92,plain,
! [A: $i] :
( ~ ( has_endowment @ A )
| ( organization @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,negated_conjecture,
smaller_or_equal @ ( age @ sk2 @ sk4 ) @ sigma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_74) ).
thf(65,plain,
smaller_or_equal @ ( age @ sk2 @ sk4 ) @ sigma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,negated_conjecture,
greater @ sigma @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_71) ).
thf(53,plain,
greater @ sigma @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(46,axiom,
greater @ mod2 @ low,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e_66) ).
thf(141,plain,
greater @ mod2 @ low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(109,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(96,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ~ ( is_aligned @ A @ B )
| ~ ( is_aligned @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_49) ).
thf(73,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)],[16]) ).
thf(40,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/sandbox/benchmark/theBenchmark.p',assumption_17_60) ).
thf(128,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)],[40]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( is_aligned @ A @ B )
| ( is_aligned @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_48) ).
thf(71,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)],[15]) ).
thf(10,negated_conjecture,
smaller_or_equal @ ( age @ sk2 @ sk4 ) @ eta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_76) ).
thf(54,plain,
smaller_or_equal @ ( age @ sk2 @ sk4 ) @ eta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(113,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ eta )
| ( has_immunity @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_41) ).
thf(98,plain,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ eta )
| ( has_immunity @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,axiom,
greater @ high @ mod2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d_65) ).
thf(112,plain,
greater @ high @ mod2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(48,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( organization @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_47) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( organization @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(3,negated_conjecture,
has_endowment @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_69) ).
thf(63,plain,
has_endowment @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( age @ A @ B )
!= zero )
| ( is_aligned @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_54) ).
thf(150,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( age @ A @ B )
!= zero )
| ( is_aligned @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(14,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/sandbox/benchmark/theBenchmark.p',theorem_11_80) ).
thf(55,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)],[14]) ).
thf(45,axiom,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( greater @ ( age @ A @ B ) @ eta )
| ~ ( has_immunity @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_42) ).
thf(139,plain,
! [B: $i,A: $i] :
( ~ ( has_endowment @ A )
| ~ ( greater @ ( age @ A @ B ) @ eta )
| ~ ( has_immunity @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(75,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ B )
| ( ( hazard_of_mortality @ A @ B )
= very_low ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_57) ).
thf(82,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)],[19]) ).
thf(37,axiom,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( has_immunity @ A @ ( sk1 @ A ) )
| ( has_endowment @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_44) ).
thf(119,plain,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( has_immunity @ A @ ( sk1 @ A ) )
| ( has_endowment @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(9,negated_conjecture,
smaller_or_equal @ ( age @ sk2 @ sk4 ) @ tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_75) ).
thf(58,plain,
smaller_or_equal @ ( age @ sk2 @ sk4 ) @ tau,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( is_aligned @ A @ B )
| ( is_aligned @ A @ B )
| ( dissimilar @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_53) ).
thf(107,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)],[31]) ).
thf(18,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/sandbox/benchmark/theBenchmark.p',assumption_17_58) ).
thf(79,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)],[18]) ).
thf(24,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(41,axiom,
greater @ low @ very_low,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c_64) ).
thf(131,plain,
greater @ low @ very_low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(7,negated_conjecture,
greater @ eta @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_73) ).
thf(62,plain,
greater @ eta @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(22,axiom,
! [A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ ( sk1 @ A ) )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( has_endowment @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_45) ).
thf(90,plain,
! [A: $i] :
( ~ ( organization @ A )
| ~ ( has_immunity @ A @ ( sk1 @ A ) )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( has_endowment @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(27,axiom,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( has_endowment @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_43) ).
thf(100,plain,
! [A: $i] :
( ~ ( organization @ A )
| ( smaller_or_equal @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( greater @ ( age @ A @ ( sk1 @ A ) ) @ eta )
| ( has_endowment @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(157,plain,
$false,
inference(e,[status(thm)],[88,115,125,57,137,64,59,66,135,154,104,56,142,153,106,121,147,61,132,85,102,60,117,92,65,53,141,109,96,73,128,71,54,113,98,112,145,63,150,55,139,75,82,119,58,107,79,94,131,62,90,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT065-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n026.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 23:57:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.98 % [INFO] Parsing done (126ms).
% 1.44/0.99 % [INFO] Running in sequential loop mode.
% 1.71/1.21 % [INFO] eprover registered as external prover.
% 1.71/1.21 % [INFO] cvc4 registered as external prover.
% 1.71/1.21 % [INFO] Scanning for conjecture ...
% 2.01/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 38 axioms. Running axiom selection ...
% 2.01/1.33 % [INFO] Axiom selection finished. Selected 38 axioms (removed 0 axioms).
% 2.31/1.37 % [INFO] Problem is propositional (TPTP CNF).
% 2.31/1.38 % [INFO] Type checking passed.
% 2.31/1.38 % [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 ...
% 3.74/1.91 % External prover 'e' found a proof!
% 3.74/1.91 % [INFO] Killing All external provers ...
% 3.74/1.91 % Time passed: 1398ms (effective reasoning time: 918ms)
% 3.74/1.92 % Axioms used in derivation (38): assumption_17_59, definition_2_50, definition_greater_or_equal_5, definition_1_44, definition_2_51, definition_1_41, definition_2_47, assumption_18d_65, assumption_17_57, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_1_46, assumption_17_58, assumption_13_54, assumption_18c_64, definition_2_48, definition_1_40, definition_1_43, definition_smaller_or_equal_3, assumption_15_55, definition_greater_or_equal_6, assumption_18a_62, definition_2_52, definition_1_42, definition_smaller_or_equal_2, assumption_17_61, assumption_17_60, definition_greater_or_equal_4, definition_smaller_8, definition_2_53, meaning_postulate_greater_transitive_10, meaning_postulate_greater_strict_9, assumption_18b_63, assumption_15_56, definition_2_49, definition_smaller_7, assumption_18e_66, definition_1_45
% 3.74/1.92 % No. of inferences in proof: 105
% 3.74/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1398 ms resp. 918 ms w/o parsing
% 4.14/1.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.14/1.96 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------