%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT039-1 : 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 : n007.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 08:00:42 AM UTC 2026
% Result : Unsatisfiable 5.79s 3.59s
% Output : Refutation 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 115 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 364 ( 70 ~; 76 |; 0 &; 218 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(observational_period_decl,type,
observational_period: $i > $o ).
thf(sk3_decl,type,
sk3: $i ).
thf(slow_change_decl,type,
slow_change: $i > $o ).
thf(selection_favors_decl,type,
selection_favors: $i > $i > $i > $o ).
thf(efficient_producers_decl,type,
efficient_producers: $i ).
thf(first_movers_decl,type,
first_movers: $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(environment_decl,type,
environment: $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(start_time_decl,type,
start_time: $i > $i ).
thf(end_time_decl,type,
end_time: $i > $i ).
thf(in_environment_decl,type,
in_environment: $i > $i > $o ).
thf(critical_point_decl,type,
critical_point: $i > $i ).
thf(propagation_strategy_decl,type,
propagation_strategy: $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(sk2_decl,type,
sk2: $i > $i > $i ).
thf(19,axiom,
efficient_producers @ propagation_strategy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
thf(56,plain,
efficient_producers @ propagation_strategy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( B @ critical_point @ ( A @ ( B @ sk2 ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_24) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( B @ critical_point @ ( A @ ( B @ sk2 ) @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
sk3 @ observational_period,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_36) ).
thf(20,plain,
sk3 @ observational_period,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
~ ( sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_38) ).
thf(22,plain,
~ ( sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ ( A @ in_environment ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).
thf(43,plain,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ ( A @ in_environment ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( B @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ critical_point @ ( B @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8_35) ).
thf(47,plain,
! [B: $i,A: $i] :
( ( B @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ critical_point @ ( B @ greater ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,negated_conjecture,
sk3 @ slow_change,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_37) ).
thf(21,plain,
sk3 @ slow_change,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ( A @ end_time @ ( B @ greater ) )
| ~ ( A @ start_time @ ( B @ greater ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_beginning_and_ending_34) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ( A @ end_time @ ( B @ greater ) )
| ~ ( A @ start_time @ ( B @ greater ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ environment )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).
thf(45,plain,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ( A @ sk1 @ environment )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point_28) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ sk1 @ end_time @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).
thf(54,plain,
! [A: $i] :
( ( A @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ sk1 @ end_time @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( efficient_producers @ propagation_strategy )
| ~ ( first_movers @ propagation_strategy )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ sk2 ) @ ( B @ in_environment ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_23) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ sk2 ) @ ( B @ in_environment ) )
| ~ ( B @ ( A @ in_environment ) )
| ~ ( B @ environment )
| ~ ( A @ slow_change )
| ~ ( A @ observational_period ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ start_time @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
thf(36,plain,
! [A: $i] :
( ( A @ start_time @ ( A @ critical_point @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ in_environment ) )
| ~ ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( A @ start_time @ ( B @ greater_or_equal ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment_27) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ in_environment ) )
| ~ ( B @ ( A @ end_time @ greater_or_equal ) )
| ~ ( A @ start_time @ ( B @ greater_or_equal ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
first_movers @ propagation_strategy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
thf(51,plain,
first_movers @ propagation_strategy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(57,plain,
$false,
inference(e,[status(thm)],[56,24,52,20,41,22,43,47,21,28,38,45,32,34,54,49,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.24/0.51 % Computer : n007.cluster.edu
% 0.24/0.51 % Model : x86_64 x86_64
% 0.24/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.51 % Memory : 8046.5625MB
% 0.24/0.51 % OS : Linux 6.8.0-71-generic
% 0.24/0.51 % CPULimit : 300
% 0.24/0.51 % WCLimit : 300
% 0.24/0.51 % DateTime : Sat Sep 26 00:04:39 UTC 2026
% 0.24/0.52 % CPUTime :
% 0.24/0.52 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
% 1.37/1.37 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.85/1.66 % [INFO] Parsing done (290ms).
% 1.85/1.68 % [INFO] Running in sequential loop mode.
% 2.77/2.28 % [INFO] eprover registered as external prover.
% 2.77/2.30 % [INFO] Scanning for conjecture ...
% 3.15/2.44 % [INFO] Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ...
% 3.31/2.53 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 3.31/2.58 % [INFO] Problem is propositional (TPTP CNF).
% 3.31/2.60 % [INFO] Type checking passed.
% 3.52/2.60 % [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 ...
% 5.79/3.58 % External prover 'e' found a proof!
% 5.79/3.58 % [INFO] Killing All external provers ...
% 5.79/3.58 % Time passed: 2855ms (effective reasoning time: 1886ms)
% 5.79/3.58 % Axioms used in derivation (16): mp3_favoured_trategy_21, mp_greater_or_equal_31, mp_organizational_sets1_25, mp_beginning_and_ending_34, mp_organizational_sets2_26, mp_time_in_environment_27, mp_time_of_critical_point_29, mp3_favoured_trategy_20, mp_greater_or_equal_32, l8_35, mp3_favoured_trategy_22, mp_greater_transitivity_30, mp4_critical_point_24, mp_environment_end_point_28, mp_greater_or_equal_33, mp4_critical_point_23
% 5.79/3.58 % No. of inferences in proof: 39
% 5.79/3.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2855 ms resp. 1886 ms w/o parsing
% 6.19/3.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.19/3.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------