%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:00:44 AM UTC 2026
% Result : Unsatisfiable 4.31s 2.58s
% Output : Refutation 4.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 26
% Syntax : Number of formulae : 53 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 139 ( 30 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 566 ( 74 ~; 86 |; 0 &; 406 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 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_decl,type,
organization: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(stock_of_knowledge_decl,type,
stock_of_knowledge: $i > $i > $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(internal_friction_decl,type,
internal_friction: $i > $i > $i ).
thf(external_ties_decl,type,
external_ties: $i > $i > $i ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(position_decl,type,
position: $i > $i > $i ).
thf(capability_decl,type,
capability: $i > $i > $i ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ capability ) )
= ( C @ ( A @ capability ) ) )
| ( ( B @ ( A @ internal_friction ) )
!= ( C @ ( A @ internal_friction ) ) )
| ( ( B @ ( A @ stock_of_knowledge ) )
!= ( C @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_43) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ capability ) )
= ( C @ ( A @ capability ) ) )
| ( ( B @ ( A @ internal_friction ) )
!= ( C @ ( A @ internal_friction ) ) )
| ( ( B @ ( A @ stock_of_knowledge ) )
!= ( C @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
| ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_44) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
| ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ position ) )
= ( C @ ( A @ position ) ) )
| ( ( B @ ( A @ external_ties ) )
!= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ position ) )
= ( C @ ( A @ position ) ) )
| ( ( B @ ( A @ external_ties ) )
!= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(26,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ smaller_or_equal ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_41) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ smaller_or_equal ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(54,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(66,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(80,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,negated_conjecture,
~ ( sk2 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ greater ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_52) ).
thf(31,plain,
~ ( sk2 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(2,negated_conjecture,
~ ( sk2 @ ( sk1 @ has_immunity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_47) ).
thf(30,plain,
~ ( sk2 @ ( sk1 @ has_immunity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_39) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater_or_equal ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater_or_equal ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(6,negated_conjecture,
( ( sk2 @ ( sk1 @ external_ties ) )
= ( sk3 @ ( sk1 @ external_ties ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_51) ).
thf(29,plain,
( ( sk2 @ ( sk1 @ external_ties ) )
= ( sk3 @ ( sk1 @ external_ties ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
sk1 @ organization,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_46) ).
thf(28,plain,
sk1 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
( ( sk3 @ ( sk1 @ stock_of_knowledge ) )
= ( sk2 @ ( sk1 @ stock_of_knowledge ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_49) ).
thf(33,plain,
( ( sk3 @ ( sk1 @ stock_of_knowledge ) )
= ( sk2 @ ( sk1 @ stock_of_knowledge ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
~ ( sk3 @ ( sk1 @ has_immunity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_48) ).
thf(32,plain,
~ ( sk3 @ ( sk1 @ has_immunity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ smaller ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
thf(59,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ smaller ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,negated_conjecture,
sk2 @ ( sk1 @ internal_friction ) @ ( sk3 @ ( sk1 @ internal_friction ) @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_50) ).
thf(27,plain,
sk2 @ ( sk1 @ internal_friction ) @ ( sk3 @ ( sk1 @ internal_friction ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(22,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
| ( ( C @ ( A @ position ) )
!= ( B @ ( A @ position ) ) )
| ( ( C @ ( A @ capability ) )
!= ( B @ ( A @ capability ) ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_40) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
| ( ( C @ ( A @ position ) )
!= ( B @ ( A @ position ) ) )
| ( ( C @ ( A @ capability ) )
!= ( B @ ( A @ capability ) ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(82,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(87,plain,
$false,
inference(e,[status(thm)],[56,52,61,85,41,54,39,66,80,48,31,72,30,68,78,29,28,70,33,32,64,44,59,27,75,82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 00:03:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.19 % [INFO] Parsing done (213ms).
% 1.50/1.21 % [INFO] Running in sequential loop mode.
% 2.23/1.61 % [INFO] eprover registered as external prover.
% 2.23/1.62 % [INFO] Scanning for conjecture ...
% 2.40/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 19 axioms. Running axiom selection ...
% 2.40/1.79 % [INFO] Axiom selection finished. Selected 19 axioms (removed 0 axioms).
% 2.62/1.83 % [INFO] Problem is propositional (TPTP CNF).
% 2.62/1.84 % [INFO] Type checking passed.
% 2.62/1.85 % [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 ...
% 4.31/2.58 % External prover 'e' found a proof!
% 4.31/2.58 % [INFO] Killing All external provers ...
% 4.31/2.58 % Time passed: 2039ms (effective reasoning time: 1365ms)
% 4.31/2.58 % 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
% 4.31/2.58 % No. of inferences in proof: 53
% 4.31/2.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2039 ms resp. 1365 ms w/o parsing
% 4.67/2.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.67/2.65 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------