TSTP Solution File: MGT042-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 11:35:23 EDT 2023
% Result : Unsatisfiable 3.89s 1.85s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 53
% Syntax : Number of formulae : 92 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 193 ( 26 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 941 ( 87 ~; 116 |; 0 &; 738 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 94 ( 0 ^; 94 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(stock_of_knowledge_type,type,
stock_of_knowledge: $i > $i > $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(internal_friction_type,type,
internal_friction: $i > $i > $i ).
thf(external_ties_type,type,
external_ties: $i > $i > $i ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(hazard_of_mortality_type,type,
hazard_of_mortality: $i > $i > $i ).
thf(position_type,type,
position: $i > $i > $i ).
thf(capability_type,type,
capability: $i > $i > $i ).
thf(4,negated_conjecture,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_49) ).
thf(56,plain,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
organization @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_46) ).
thf(42,plain,
organization @ sk1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,negated_conjecture,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_61) ).
thf(52,plain,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(38,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( stock_of_knowledge @ A @ B ) @ ( stock_of_knowledge @ A @ C ) )
| ~ ( smaller_or_equal @ ( internal_friction @ A @ B ) @ ( internal_friction @ A @ C ) )
| ( greater @ ( capability @ A @ B ) @ ( capability @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_41) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( stock_of_knowledge @ A @ B ) @ ( stock_of_knowledge @ A @ C ) )
| ~ ( smaller_or_equal @ ( internal_friction @ A @ B ) @ ( internal_friction @ A @ C ) )
| ( greater @ ( capability @ A @ B ) @ ( capability @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(89,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(11,negated_conjecture,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_56) ).
thf(53,plain,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(14,negated_conjecture,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_59) ).
thf(41,plain,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(32,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( has_immunity @ A @ C )
| ~ ( greater_or_equal @ ( capability @ A @ C ) @ ( capability @ A @ B ) )
| ~ ( greater @ ( position @ A @ C ) @ ( position @ A @ B ) )
| ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_39) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( has_immunity @ A @ C )
| ~ ( greater_or_equal @ ( capability @ A @ C ) @ ( capability @ A @ B ) )
| ~ ( greater @ ( position @ A @ C ) @ ( position @ A @ B ) )
| ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(13,negated_conjecture,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_58) ).
thf(45,plain,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(35,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( has_immunity @ A @ C )
| ~ ( greater @ ( capability @ A @ C ) @ ( capability @ A @ B ) )
| ~ ( greater_or_equal @ ( position @ A @ C ) @ ( position @ A @ B ) )
| ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( has_immunity @ A @ C )
| ~ ( greater @ ( capability @ A @ C ) @ ( capability @ A @ B ) )
| ~ ( greater_or_equal @ ( position @ A @ C ) @ ( position @ A @ B ) )
| ( smaller @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(3,negated_conjecture,
~ ( has_immunity @ sk1 @ sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_48) ).
thf(50,plain,
~ ( has_immunity @ sk1 @ sk3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_51) ).
thf(43,plain,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
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(75,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(18,negated_conjecture,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_63) ).
thf(51,plain,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(17,negated_conjecture,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_62) ).
thf(47,plain,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(2,negated_conjecture,
~ ( has_immunity @ sk1 @ sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_47) ).
thf(46,plain,
~ ( has_immunity @ sk1 @ sk2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,negated_conjecture,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_60) ).
thf(57,plain,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(34,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)],[34]) ).
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(77,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(9,negated_conjecture,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_54) ).
thf(44,plain,
smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(37,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(118,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(8,negated_conjecture,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_53) ).
thf(54,plain,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,negated_conjecture,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_52) ).
thf(49,plain,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ( greater_or_equal @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( has_immunity @ A @ C )
| ( ( capability @ A @ C )
!= ( capability @ A @ B ) )
| ( ( position @ A @ C )
!= ( position @ A @ B ) )
| ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_40) ).
thf(86,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_immunity @ A @ B )
| ( has_immunity @ A @ C )
| ( ( capability @ A @ C )
!= ( capability @ A @ B ) )
| ( ( position @ A @ C )
!= ( position @ A @ B ) )
| ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(81,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,negated_conjecture,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_50) ).
thf(39,plain,
( ( greater @ ( stock_of_knowledge @ sk1 @ sk3 ) @ ( stock_of_knowledge @ sk1 @ sk2 ) )
| ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( smaller_or_equal @ ( stock_of_knowledge @ A @ B ) @ ( stock_of_knowledge @ A @ C ) )
| ~ ( greater @ ( internal_friction @ A @ B ) @ ( internal_friction @ A @ C ) )
| ( smaller @ ( capability @ A @ B ) @ ( capability @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( smaller_or_equal @ ( stock_of_knowledge @ A @ B ) @ ( stock_of_knowledge @ A @ C ) )
| ~ ( greater @ ( internal_friction @ A @ B ) @ ( internal_friction @ A @ C ) )
| ( smaller @ ( capability @ A @ B ) @ ( capability @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(31,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(103,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(27,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(91,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(12,negated_conjecture,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_57) ).
thf(48,plain,
( ( greater_or_equal @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(28,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( stock_of_knowledge @ A @ B )
!= ( stock_of_knowledge @ A @ C ) )
| ( ( internal_friction @ A @ B )
!= ( internal_friction @ A @ C ) )
| ( ( capability @ A @ B )
= ( capability @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_43) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( stock_of_knowledge @ A @ B )
!= ( stock_of_knowledge @ A @ C ) )
| ( ( internal_friction @ A @ B )
!= ( internal_friction @ A @ C ) )
| ( ( capability @ A @ B )
= ( capability @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,negated_conjecture,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_55) ).
thf(40,plain,
( ( smaller_or_equal @ ( internal_friction @ sk1 @ sk3 ) @ ( internal_friction @ sk1 @ sk2 ) )
| ( greater @ ( external_ties @ sk1 @ sk3 ) @ ( external_ties @ sk1 @ sk2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(19,negated_conjecture,
( ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) )
| ~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_64) ).
thf(55,plain,
~ ( smaller @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(36,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(114,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(33,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(107,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(22,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_44) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(24,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(83,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(123,plain,
$false,
inference(e,[status(thm)],[56,42,52,121,89,53,41,105,45,112,50,43,75,51,47,46,57,109,77,44,118,54,49,86,81,39,98,103,91,48,95,40,55,114,107,79,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 23:41:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.96/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/0.97 % [INFO] Parsing done (135ms).
% 1.35/0.98 % [INFO] Running in sequential loop mode.
% 1.77/1.18 % [INFO] eprover registered as external prover.
% 1.77/1.18 % [INFO] cvc4 registered as external prover.
% 1.86/1.18 % [INFO] Scanning for conjecture ...
% 2.01/1.27 % [INFO] Found a conjecture and 19 axioms. Running axiom selection ...
% 2.21/1.31 % [INFO] Axiom selection finished. Selected 19 axioms (removed 0 axioms).
% 2.21/1.34 % [INFO] Problem is propositional (TPTP CNF).
% 2.21/1.34 % [INFO] Type checking passed.
% 2.21/1.35 % [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 ...
% 3.89/1.85 % External prover 'e' found a proof!
% 3.89/1.85 % [INFO] Killing All external provers ...
% 3.89/1.85 % Time passed: 1336ms (effective reasoning time: 865ms)
% 3.89/1.85 % 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)>
% 3.89/1.85 % Axioms used in derivation (19): assumption_5_42, assumption_4_39, definition_greater_or_equal_5, assumption_5_41, assumption_4_40, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_5_43, assumption_6_45, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_smaller_or_equal_2, assumption_6_44, definition_greater_or_equal_4, assumption_4_38, meaning_postulate_greater_strict_9, definition_smaller_7, definition_smaller_8, meaning_postulate_greater_transitive_10
% 3.89/1.85 % No. of inferences in proof: 77
% 3.89/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1336 ms resp. 865 ms w/o parsing
% 3.89/1.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.89/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------