TSTP Solution File: MGT063-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT063-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 11:35:30 EDT 2023
% Result : Unsatisfiable 6.89s 2.58s
% Output : Refutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 87
% Syntax : Number of formulae : 146 ( 36 unt; 29 typ; 0 def)
% Number of atoms : 297 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 954 ( 135 ~; 180 |; 0 &; 639 @)
% ( 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 : 32 ( 29 usr; 16 con; 0-3 aty)
% Number of variables : 161 ( 0 ^; 161 !; 0 ?; 161 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(robust_position_type,type,
robust_position: $i > $o ).
thf(has_endowment_type,type,
has_endowment: $i > $o ).
thf(age_type,type,
age: $i > $i > $i ).
thf(sk4_type,type,
sk4: $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(smaller_type,type,
smaller: $i > $i > $o ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $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(low_type,type,
low: $i ).
thf(very_low_type,type,
very_low: $i ).
thf(positional_advantage_type,type,
positional_advantage: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(eta_type,type,
eta: $i ).
thf(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(high_type,type,
high: $i ).
thf(mod2_type,type,
mod2: $i ).
thf(mod1_type,type,
mod1: $i ).
thf(49,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(152,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)],[49]) ).
thf(43,axiom,
! [A: $i] :
( ~ ( has_endowment @ A )
| ( organization @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_39) ).
thf(141,plain,
! [A: $i] :
( ~ ( has_endowment @ A )
| ( organization @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
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/sandbox/benchmark/theBenchmark.p',definition_2_52) ).
thf(129,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(5,negated_conjecture,
greater @ sigma @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_78) ).
thf(59,plain,
greater @ sigma @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(58,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(172,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(56,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_67) ).
thf(167,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)],[56]) ).
thf(24,axiom,
greater @ high @ mod2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d_71) ).
thf(99,plain,
greater @ high @ mod2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(42,axiom,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_57) ).
thf(139,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( smaller_or_equal @ ( age @ A @ B ) @ tau )
| ~ ( positional_advantage @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(13,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(75,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)],[13]) ).
thf(8,negated_conjecture,
smaller_or_equal @ ( age @ sk3 @ sk5 ) @ sigma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_81) ).
thf(69,plain,
smaller_or_equal @ ( age @ sk3 @ sk5 ) @ sigma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_endowment @ A )
| ~ ( has_immunity @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_46) ).
thf(88,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_endowment @ A )
| ~ ( has_immunity @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(57,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_41) ).
thf(170,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)],[57]) ).
thf(31,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_40) ).
thf(115,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)],[31]) ).
thf(33,axiom,
greater @ high @ mod1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a_68) ).
thf(120,plain,
greater @ high @ mod1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(29,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(110,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)],[29]) ).
thf(51,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_45) ).
thf(157,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)],[51]) ).
thf(55,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(164,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( age @ A @ B )
!= zero )
| ( is_aligned @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(27,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(106,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)],[27]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(121,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(17,axiom,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_61) ).
thf(84,plain,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(46,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_42) ).
thf(147,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)],[46]) ).
thf(1,negated_conjecture,
organization @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_74) ).
thf(61,plain,
organization @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(40,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(133,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(10,negated_conjecture,
smaller_or_equal @ ( age @ sk3 @ sk6 ) @ tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_83) ).
thf(60,plain,
smaller_or_equal @ ( age @ sk3 @ sk6 ) @ tau,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(32,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_66) ).
thf(117,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)],[32]) ).
thf(4,negated_conjecture,
( ( age @ sk3 @ sk4 )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_77) ).
thf(70,plain,
( ( age @ sk3 @ sk4 )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(41,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_60) ).
thf(137,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(21,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(92,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(12,negated_conjecture,
( ~ ( smaller @ ( hazard_of_mortality @ sk3 @ sk7 ) @ ( hazard_of_mortality @ sk3 @ sk5 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk3 @ sk5 ) @ ( hazard_of_mortality @ sk3 @ sk6 ) )
| ( ( hazard_of_mortality @ sk3 @ sk5 )
!= ( hazard_of_mortality @ sk3 @ sk4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_85) ).
thf(65,plain,
( ~ ( smaller @ ( hazard_of_mortality @ sk3 @ sk7 ) @ ( hazard_of_mortality @ sk3 @ sk5 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk3 @ sk5 ) @ ( hazard_of_mortality @ sk3 @ sk6 ) )
| ( ( hazard_of_mortality @ sk3 @ sk5 )
!= ( hazard_of_mortality @ sk3 @ sk4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,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(77,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)],[14]) ).
thf(23,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_63) ).
thf(96,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)],[23]) ).
thf(53,axiom,
greater @ mod2 @ mod1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19_73) ).
thf(161,plain,
greater @ mod2 @ mod1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(2,negated_conjecture,
robust_position @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_75) ).
thf(64,plain,
robust_position @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(47,axiom,
! [A: $i] :
( ( positional_advantage @ A @ ( sk2 @ A ) )
| ~ ( positional_advantage @ A @ ( sk2 @ A ) )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_62) ).
thf(149,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(45,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(144,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)],[45]) ).
thf(18,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_43) ).
thf(86,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)],[18]) ).
thf(52,axiom,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_58) ).
thf(159,plain,
! [B: $i,A: $i] :
( ~ ( robust_position @ A )
| ~ ( greater @ ( age @ A @ B ) @ tau )
| ( positional_advantage @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(26,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_65) ).
thf(103,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)],[26]) ).
thf(7,negated_conjecture,
smaller @ sigma @ tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_80) ).
thf(66,plain,
smaller @ sigma @ tau,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(108,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(54,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( organization @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_47) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( organization @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(30,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(112,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(35,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(123,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,negated_conjecture,
greater @ ( age @ sk3 @ sk6 ) @ sigma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_82) ).
thf(63,plain,
greater @ ( age @ sk3 @ sk6 ) @ sigma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(48,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_44) ).
thf(150,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)],[48]) ).
thf(3,negated_conjecture,
~ ( has_endowment @ sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_76) ).
thf(67,plain,
~ ( has_endowment @ sk3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(37,axiom,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_59) ).
thf(127,plain,
! [A: $i] :
( ( smaller_or_equal @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( greater @ ( age @ A @ ( sk2 @ A ) ) @ tau )
| ( robust_position @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(50,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_64) ).
thf(154,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)],[50]) ).
thf(44,axiom,
greater @ mod1 @ low,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_69) ).
thf(143,plain,
greater @ mod1 @ low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(36,axiom,
greater @ mod2 @ low,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e_72) ).
thf(126,plain,
greater @ mod2 @ low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(15,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(79,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(22,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(94,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(131,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(11,negated_conjecture,
greater @ ( age @ sk3 @ sk7 ) @ tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_84) ).
thf(68,plain,
greater @ ( age @ sk3 @ sk7 ) @ tau,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,negated_conjecture,
greater @ tau @ zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9_79) ).
thf(62,plain,
greater @ tau @ zero,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,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(90,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(16,axiom,
greater @ low @ very_low,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c_70) ).
thf(83,plain,
greater @ low @ very_low,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,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(100,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)],[25]) ).
thf(931,plain,
$false,
inference(cvc4,[status(thm)],[152,141,129,59,172,167,99,139,75,69,88,170,115,120,110,157,164,106,121,84,147,61,133,60,117,70,137,92,65,77,96,161,64,149,144,86,159,103,66,108,162,112,123,63,150,67,127,154,143,126,79,94,131,68,62,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT063-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n017.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
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 23:09:16 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.03 % [INFO] Parsing done (155ms).
% 1.45/1.04 % [INFO] Running in sequential loop mode.
% 1.91/1.24 % [INFO] eprover registered as external prover.
% 1.91/1.24 % [INFO] cvc4 registered as external prover.
% 1.91/1.25 % [INFO] Scanning for conjecture ...
% 2.10/1.31 % [INFO] Found a conjecture and 46 axioms. Running axiom selection ...
% 2.10/1.36 % [INFO] Axiom selection finished. Selected 46 axioms (removed 0 axioms).
% 2.30/1.40 % [INFO] Problem is propositional (TPTP CNF).
% 2.30/1.41 % [INFO] Type checking passed.
% 2.30/1.41 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.89/2.58 % External prover 'cvc4' found a proof!
% 6.89/2.58 % [INFO] Killing All external provers ...
% 6.89/2.58 % Time passed: 2070ms (effective reasoning time: 1538ms)
% 6.89/2.58 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.89/2.58 % Axioms used in derivation (46): assumption_18b_69, definition_2_51, definition_1_41, definition_2_47, assumption_18a_68, assumption_19_73, definition_1_39, assumption_1_46, definition_smaller_or_equal_1, definition_smaller_or_equal_2, definition_4_62, assumption_13_54, assumption_17_66, assumption_18e_72, assumption_18d_71, assumption_18c_70, definition_4_57, definition_2_50, assumption_17_67, definition_2_48, definition_1_40, definition_greater_or_equal_5, definition_4_60, assumption_17_64, definition_1_44, definition_1_43, definition_smaller_or_equal_3, definition_4_61, assumption_15_55, definition_greater_or_equal_6, assumption_17_65, definition_2_52, definition_1_42, meaning_postulate_greater_comparable_11, definition_4_59, assumption_17_63, definition_greater_or_equal_4, definition_smaller_8, definition_2_53, meaning_postulate_greater_transitive_10, meaning_postulate_greater_strict_9, assumption_15_56, definition_4_58, definition_2_49, definition_smaller_7, definition_1_45
% 6.89/2.58 % No. of inferences in proof: 117
% 6.89/2.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2070 ms resp. 1538 ms w/o parsing
% 7.24/2.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.24/2.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------