%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n006.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 08:00:47 AM UTC 2026
% Result : Unsatisfiable 5.46s 7.76s
% Output : Refutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 28
% Syntax : Number of formulae : 57 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 135 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 428 ( 62 ~; 78 |; 0 &; 288 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 76 ( 0 ^; 76 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(has_endowment_decl,type,
has_endowment: $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(zero_decl,type,
zero: $i ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(sk4_decl,type,
sk4: $i ).
thf(eta_decl,type,
eta: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(sk5_decl,type,
sk5: $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(sigma_decl,type,
sigma: $i ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(21,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_36) ).
thf(69,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(84,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(60,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,negated_conjecture,
zero @ ( sigma @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_46) ).
thf(33,plain,
zero @ ( sigma @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_34) ).
thf(65,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(77,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_32) ).
thf(73,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_37) ).
thf(44,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_33) ).
thf(63,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,negated_conjecture,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_44) ).
thf(29,plain,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
sk2 @ has_endowment,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_41) ).
thf(32,plain,
sk2 @ has_endowment,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
( ( sk3 @ ( sk2 @ age ) )
= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_42) ).
thf(34,plain,
( ( sk3 @ ( sk2 @ age ) )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(71,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(54,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= ( C @ ( A @ hazard_of_mortality ) ) )
| ~ ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_38) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= ( C @ ( A @ hazard_of_mortality ) ) )
| ~ ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(80,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(8,negated_conjecture,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_47) ).
thf(35,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_39) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(6,negated_conjecture,
sigma @ ( eta @ greater_or_equal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_45) ).
thf(31,plain,
sigma @ ( eta @ greater_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(75,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_35) ).
thf(58,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_31) ).
thf(82,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,negated_conjecture,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_43) ).
thf(36,plain,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
sk2 @ organization,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_40) ).
thf(30,plain,
sk2 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(88,plain,
$false,
inference(e,[status(thm)],[69,42,52,84,60,33,65,77,73,44,63,40,46,29,32,34,71,54,49,80,35,67,31,75,58,82,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/5.42 % Computer : n006.cluster.edu
% 0.16/5.42 % Model : x86_64 x86_64
% 0.16/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42 % Memory : 8046.5625MB
% 0.16/5.42 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Sat Sep 26 00:10:16 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.20/5.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/6.12 % [INFO] Parsing done (188ms).
% 1.37/6.13 % [INFO] Running in sequential loop mode.
% 2.36/6.48 % [INFO] eprover registered as external prover.
% 2.36/6.49 % [INFO] Scanning for conjecture ...
% 2.48/6.57 % [INFO] Found a conjecture (or negated_conjecture) and 20 axioms. Running axiom selection ...
% 2.69/6.64 % [INFO] Axiom selection finished. Selected 20 axioms (removed 0 axioms).
% 2.69/6.68 % [INFO] Problem is propositional (TPTP CNF).
% 2.69/6.69 % [INFO] Type checking passed.
% 2.93/6.70 % [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 ...
% 5.46/7.75 % External prover 'e' found a proof!
% 5.46/7.75 % [INFO] Killing All external provers ...
% 5.46/7.75 % Time passed: 2188ms (effective reasoning time: 1615ms)
% 5.46/7.76 % Axioms used in derivation (20): definition_1_37, assumption_3_39, definition_1_32, definition_smaller_or_equal_3, definition_greater_or_equal_6, definition_1_31, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_smaller_or_equal_2, definition_1_35, definition_greater_or_equal_4, assumption_2_38, meaning_postulate_greater_strict_9, definition_greater_or_equal_5, definition_1_33, definition_1_36, definition_smaller_8, meaning_postulate_greater_transitive_10, definition_smaller_7, definition_1_34
% 5.46/7.76 % No. of inferences in proof: 57
% 5.46/7.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2188 ms resp. 1615 ms w/o parsing
% 5.85/7.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.85/7.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------