TSTP Solution File: MGT050-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 11:35:26 EDT 2023
% Result : Unsatisfiable 3.76s 1.82s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 44
% Syntax : Number of formulae : 72 ( 9 unt; 17 typ; 0 def)
% Number of atoms : 153 ( 30 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 620 ( 84 ~; 98 |; 0 &; 438 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 4 con; 0-2 aty)
% Number of variables : 116 ( 0 ^; 116 !; 0 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(has_endowment_type,type,
has_endowment: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(age_type,type,
age: $i > $i > $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(hazard_of_mortality_type,type,
hazard_of_mortality: $i > $i > $i ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(stock_of_knowledge_type,type,
stock_of_knowledge: $i > $i > $i ).
thf(internal_friction_type,type,
internal_friction: $i > $i > $i ).
thf(capability_type,type,
capability: $i > $i > $i ).
thf(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(external_ties_type,type,
external_ties: $i > $i > $i ).
thf(position_type,type,
position: $i > $i > $i ).
thf(13,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(56,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,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_45) ).
thf(52,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)],[11]) ).
thf(20,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_42) ).
thf(74,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)],[20]) ).
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_44) ).
thf(85,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(1,negated_conjecture,
organization @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_53) ).
thf(28,plain,
organization @ sk1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,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_49) ).
thf(59,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)],[14]) ).
thf(12,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(54,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23,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(80,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
= ( external_ties @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11_51) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
= ( external_ties @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,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_43) ).
thf(88,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)],[26]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(78,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(2,negated_conjecture,
~ ( has_endowment @ sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_54) ).
thf(29,plain,
~ ( has_endowment @ sk1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,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(34,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( stock_of_knowledge @ A @ B )
= ( stock_of_knowledge @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10_50) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( stock_of_knowledge @ A @ B )
= ( stock_of_knowledge @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(21,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_46) ).
thf(76,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)],[21]) ).
thf(7,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(39,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_endowment @ A )
| ~ ( has_immunity @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_41) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A )
| ( has_endowment @ A )
| ~ ( has_immunity @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,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_48) ).
thf(67,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)],[17]) ).
thf(4,negated_conjecture,
~ ( greater @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_56) ).
thf(31,plain,
~ ( greater @ ( hazard_of_mortality @ sk1 @ sk3 ) @ ( hazard_of_mortality @ sk1 @ sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,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(72,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(8,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(43,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,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(36,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,negated_conjecture,
greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_55) ).
thf(30,plain,
greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,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_47) ).
thf(47,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)],[9]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( age @ A @ B ) @ ( age @ A @ C ) )
| ( greater @ ( internal_friction @ A @ B ) @ ( internal_friction @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12_52) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( age @ A @ B ) @ ( age @ A @ C ) )
| ( greater @ ( internal_friction @ A @ B ) @ ( internal_friction @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(90,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(83,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(92,plain,
$false,
inference(e,[status(thm)],[56,52,74,85,28,59,54,80,69,88,78,29,34,64,76,39,50,67,31,72,43,36,30,47,62,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 23:57:44 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.82/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.98 % [INFO] Parsing done (124ms).
% 1.18/0.99 % [INFO] Running in sequential loop mode.
% 1.78/1.20 % [INFO] eprover registered as external prover.
% 1.78/1.20 % [INFO] cvc4 registered as external prover.
% 1.78/1.20 % [INFO] Scanning for conjecture ...
% 1.93/1.26 % [INFO] Found a conjecture and 23 axioms. Running axiom selection ...
% 1.93/1.30 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 2.17/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.34 % [INFO] Type checking passed.
% 2.17/1.34 % [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 ...
% 3.66/1.81 % External prover 'e' found a proof!
% 3.66/1.81 % [INFO] Killing All external provers ...
% 3.66/1.81 % Time passed: 1293ms (effective reasoning time: 823ms)
% 3.66/1.81 % 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)>
% 3.76/1.82 % Axioms used in derivation (23): assumption_5_47, assumption_10_50, assumption_5_46, assumption_1_41, assumption_11_51, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_greater_or_equal_4, definition_smaller_7, definition_greater_or_equal_5, assumption_6_48, assumption_6_49, definition_smaller_or_equal_3, assumption_4_44, definition_greater_or_equal_6, assumption_5_45, definition_smaller_or_equal_2, assumption_4_43, definition_smaller_8, meaning_postulate_greater_transitive_10, assumption_12_52, meaning_postulate_greater_strict_9, assumption_4_42
% 3.76/1.82 % No. of inferences in proof: 55
% 3.76/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1293 ms resp. 823 ms w/o parsing
% 3.76/1.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.76/1.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------