%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT032-2 : 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 : n010.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 08:00:39 AM UTC 2026
% Result : Unsatisfiable 3.31s 17.59s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 158 ( 26 ~; 24 |; 0 &; 108 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(environment_decl,type,
environment: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(stable_decl,type,
stable: $i > $o ).
thf(in_environment_decl,type,
in_environment: $i > $i > $o ).
thf(subpopulations_decl,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(first_movers_decl,type,
first_movers: $i ).
thf(efficient_producers_decl,type,
efficient_producers: $i ).
thf(sk3_decl,type,
sk3: $i > $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(selection_favors_decl,type,
selection_favors: $i > $i > $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(growth_rate_decl,type,
growth_rate: $i > $i > $i ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(1,negated_conjecture,
sk2 @ environment,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_4) ).
thf(10,plain,
sk2 @ environment,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) )
| ~ ( A @ sk1 @ ( B @ greater_or_equal ) )
| ~ ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( A @ stable )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_3) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( B @ ( first_movers @ growth_rate ) @ ( B @ ( efficient_producers @ growth_rate ) @ greater ) )
| ~ ( A @ sk1 @ ( B @ greater_or_equal ) )
| ~ ( B @ ( A @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( A @ stable )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ~ ( A @ sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ ( sk2 @ in_environment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_8) ).
thf(9,plain,
! [A: $i] :
( ~ ( A @ sk3 @ ( first_movers @ ( efficient_producers @ selection_favors ) ) )
| ~ ( A @ ( sk2 @ in_environment ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( A @ ( A @ sk3 @ greater_or_equal ) )
| ~ ( A @ ( sk2 @ in_environment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_7) ).
thf(13,plain,
! [A: $i] :
( ( A @ ( A @ sk3 @ greater_or_equal ) )
| ~ ( A @ ( sk2 @ in_environment ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ selection_favors ) ) )
| ~ ( D @ ( B @ growth_rate ) @ ( D @ ( C @ growth_rate ) @ greater ) )
| ~ ( D @ ( A @ ( C @ ( B @ subpopulations ) ) ) )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).
thf(17,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( B @ ( C @ selection_favors ) ) )
| ~ ( D @ ( B @ growth_rate ) @ ( D @ ( C @ growth_rate ) @ greater ) )
| ~ ( D @ ( A @ ( C @ ( B @ subpopulations ) ) ) )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( A @ sk3 @ ( sk2 @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( A @ ( sk2 @ in_environment ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_6) ).
thf(12,plain,
! [A: $i] :
( ( A @ sk3 @ ( sk2 @ ( efficient_producers @ ( first_movers @ subpopulations ) ) ) )
| ~ ( A @ ( sk2 @ in_environment ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
sk2 @ stable,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_5) ).
thf(11,plain,
sk2 @ stable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ sk1 @ ( A @ in_environment ) )
| ~ ( A @ stable )
| ~ ( A @ environment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_2) ).
thf(19,plain,
! [A: $i] :
( ( A @ sk1 @ ( A @ in_environment ) )
| ~ ( A @ stable )
| ~ ( A @ environment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,21,9,13,17,12,11,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT032-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.13 % 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
% 0.22/15.71 % Computer : n010.cluster.edu
% 0.22/15.71 % Model : x86_64 x86_64
% 0.22/15.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/15.71 % Memory : 8046.5625MB
% 0.22/15.71 % OS : Linux 6.8.0-71-generic
% 0.22/15.71 % CPULimit : 300
% 0.22/15.71 % WCLimit : 300
% 0.22/15.71 % DateTime : Sat Sep 26 00:05:46 UTC 2026
% 0.22/15.71 % CPUTime :
% 0.22/15.71 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
% 1.09/16.30 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/16.49 % [INFO] Parsing done (182ms).
% 1.43/16.50 % [INFO] Running in sequential loop mode.
% 2.05/16.91 % [INFO] eprover registered as external prover.
% 2.05/16.92 % [INFO] Scanning for conjecture ...
% 2.05/17.02 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.27/17.06 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.27/17.07 % [INFO] Problem is propositional (TPTP CNF).
% 2.27/17.07 % [INFO] Type checking passed.
% 2.27/17.08 % [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 ...
% 3.31/17.59 % External prover 'e' found a proof!
% 3.31/17.59 % [INFO] Killing All external provers ...
% 3.31/17.59 % Time passed: 1731ms (effective reasoning time: 1081ms)
% 3.31/17.59 % Axioms used in derivation (3): l1_3, mp1_high_growth_rates_1, l1_2
% 3.31/17.59 % No. of inferences in proof: 17
% 3.31/17.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1731 ms resp. 1081 ms w/o parsing
% 3.58/17.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.58/17.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------