%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT001-1 : 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 : n026.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 08:00:30 AM UTC 2026
% Result : Unsatisfiable 6.40s 3.54s
% Output : Refutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 157 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 652 ( 120 ~; 118 |; 0 &; 414 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 124 ( 0 ^; 124 !; 0 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(inertia_decl,type,
inertia: $i > $i > $i > $o ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $i ).
thf(survival_chance_decl,type,
survival_chance: $i > $i > $i > $o ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk11_decl,type,
sk11: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(reliability_decl,type,
reliability: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i > $i ).
thf(accountability_decl,type,
accountability: $i > $i > $i > $o ).
thf(sk2_decl,type,
sk2: $i > $i > $i ).
thf(reproducibility_decl,type,
reproducibility: $i > $i > $i > $o ).
thf(sk3_decl,type,
sk3: $i > $i > $i ).
thf(16,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( H @ greater ) )
| ~ ( I @ ( J @ greater ) )
| ~ ( D @ ( J @ ( C @ reproducibility ) ) )
| ~ ( B @ ( I @ ( A @ reproducibility ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_6) ).
thf(41,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( H @ greater ) )
| ~ ( I @ ( J @ greater ) )
| ~ ( D @ ( J @ ( C @ reproducibility ) ) )
| ~ ( B @ ( I @ ( A @ reproducibility ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(18,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( H @ greater ) )
| ~ ( E @ ( F @ greater ) )
| ~ ( D @ ( H @ ( C @ inertia ) ) )
| ~ ( B @ ( G @ ( A @ inertia ) ) )
| ~ ( D @ ( F @ ( C @ reproducibility ) ) )
| ~ ( B @ ( E @ ( A @ reproducibility ) ) )
| ~ ( D @ ( D @ ( C @ reorganization_free ) ) )
| ~ ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_8) ).
thf(45,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( H @ greater ) )
| ~ ( E @ ( F @ greater ) )
| ~ ( D @ ( H @ ( C @ inertia ) ) )
| ~ ( B @ ( G @ ( A @ inertia ) ) )
| ~ ( D @ ( F @ ( C @ reproducibility ) ) )
| ~ ( B @ ( E @ ( A @ reproducibility ) ) )
| ~ ( D @ ( D @ ( C @ reorganization_free ) ) )
| ~ ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ greater ) )
| ~ ( I @ ( J @ greater ) )
| ~ ( D @ ( J @ ( C @ reproducibility ) ) )
| ~ ( B @ ( I @ ( A @ reproducibility ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_5) ).
thf(39,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ greater ) )
| ~ ( I @ ( J @ greater ) )
| ~ ( D @ ( J @ ( C @ reproducibility ) ) )
| ~ ( B @ ( I @ ( A @ reproducibility ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk3 ) @ ( A @ reproducibility ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_3) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk3 ) @ ( A @ reproducibility ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reliability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_1) ).
thf(31,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reliability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(17,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( J @ greater ) )
| ~ ( G @ ( H @ greater ) )
| ~ ( E @ ( F @ greater ) )
| ~ ( D @ ( J @ ( C @ reproducibility ) ) )
| ~ ( B @ ( I @ ( A @ reproducibility ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_7) ).
thf(43,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( J @ greater ) )
| ~ ( G @ ( H @ greater ) )
| ~ ( E @ ( F @ greater ) )
| ~ ( D @ ( J @ ( C @ reproducibility ) ) )
| ~ ( B @ ( I @ ( A @ reproducibility ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ greater ) )
| ~ ( G @ ( H @ greater ) )
| ~ ( D @ ( H @ ( C @ inertia ) ) )
| ~ ( B @ ( G @ ( A @ inertia ) ) )
| ~ ( D @ ( F @ ( C @ reproducibility ) ) )
| ~ ( B @ ( E @ ( A @ reproducibility ) ) )
| ~ ( D @ ( D @ ( C @ reorganization_free ) ) )
| ~ ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_9) ).
thf(47,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ greater ) )
| ~ ( G @ ( H @ greater ) )
| ~ ( D @ ( H @ ( C @ inertia ) ) )
| ~ ( B @ ( G @ ( A @ inertia ) ) )
| ~ ( D @ ( F @ ( C @ reproducibility ) ) )
| ~ ( B @ ( E @ ( A @ reproducibility ) ) )
| ~ ( D @ ( D @ ( C @ reorganization_free ) ) )
| ~ ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(9,negated_conjecture,
sk8 @ ( sk9 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_18) ).
thf(24,plain,
sk8 @ ( sk9 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( J @ greater ) )
| ~ ( G @ ( H @ greater ) )
| ~ ( E @ ( F @ greater ) )
| ~ ( D @ ( J @ ( C @ survival_chance ) ) )
| ~ ( B @ ( I @ ( A @ survival_chance ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL_4) ).
thf(37,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( J @ greater ) )
| ~ ( G @ ( H @ greater ) )
| ~ ( E @ ( F @ greater ) )
| ~ ( D @ ( J @ ( C @ survival_chance ) ) )
| ~ ( B @ ( I @ ( A @ survival_chance ) ) )
| ~ ( D @ ( H @ ( C @ accountability ) ) )
| ~ ( B @ ( G @ ( A @ accountability ) ) )
| ~ ( D @ ( F @ ( C @ reliability ) ) )
| ~ ( B @ ( E @ ( A @ reliability ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,negated_conjecture,
sk7 @ ( sk5 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_11) ).
thf(25,plain,
sk7 @ ( sk5 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,negated_conjecture,
sk6 @ ( sk8 @ ( sk4 @ inertia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_14) ).
thf(20,plain,
sk6 @ ( sk8 @ ( sk4 @ inertia ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,negated_conjecture,
sk7 @ ( sk7 @ ( sk5 @ reorganization_free ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_13) ).
thf(29,plain,
sk7 @ ( sk7 @ ( sk5 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,negated_conjecture,
sk7 @ ( sk11 @ ( sk5 @ survival_chance ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_17) ).
thf(28,plain,
sk7 @ ( sk11 @ ( sk5 @ survival_chance ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,negated_conjecture,
~ ( sk10 @ ( sk11 @ greater ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_19) ).
thf(21,plain,
~ ( sk10 @ ( sk11 @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk2 ) @ ( A @ accountability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_2) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk2 ) @ ( A @ accountability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
sk6 @ ( sk4 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_10) ).
thf(22,plain,
sk6 @ ( sk4 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
sk6 @ ( sk6 @ ( sk4 @ reorganization_free ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_12) ).
thf(27,plain,
sk6 @ ( sk6 @ ( sk4 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,negated_conjecture,
sk6 @ ( sk10 @ ( sk4 @ survival_chance ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_16) ).
thf(26,plain,
sk6 @ ( sk10 @ ( sk4 @ survival_chance ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,negated_conjecture,
sk7 @ ( sk9 @ ( sk5 @ inertia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_15) ).
thf(23,plain,
sk7 @ ( sk9 @ ( sk5 @ inertia ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(52,plain,
$false,
inference(e,[status(thm)],[41,45,39,35,31,43,47,24,37,25,20,29,28,21,33,22,27,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.25/0.49 % Computer : n026.cluster.edu
% 0.25/0.49 % Model : x86_64 x86_64
% 0.25/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.49 % Memory : 8046.5625MB
% 0.25/0.49 % OS : Linux 6.8.0-71-generic
% 0.25/0.49 % CPULimit : 300
% 0.25/0.49 % WCLimit : 300
% 0.25/0.49 % DateTime : Sat Sep 26 00:05:10 UTC 2026
% 0.25/0.50 % CPUTime :
% 0.25/0.50 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
% 1.44/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.03/1.60 % [INFO] Parsing done (283ms).
% 2.03/1.62 % [INFO] Running in sequential loop mode.
% 3.12/2.21 % [INFO] eprover registered as external prover.
% 3.12/2.22 % [INFO] Scanning for conjecture ...
% 3.31/2.37 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 3.47/2.42 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 3.47/2.48 % [INFO] Problem is propositional (TPTP CNF).
% 3.47/2.49 % [INFO] Type checking passed.
% 3.47/2.50 % [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 ...
% 6.40/3.53 % External prover 'e' found a proof!
% 6.40/3.53 % [INFO] Killing All external provers ...
% 6.40/3.54 % Time passed: 2843ms (effective reasoning time: 1904ms)
% 6.40/3.54 % Axioms used in derivation (9): a3_FOL_9, mp3_3, a2_FOL_6, a2_FOL_5, mp2_2, a1_FOL_4, a2_FOL_7, a3_FOL_8, mp1_1
% 6.40/3.54 % No. of inferences in proof: 39
% 6.40/3.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2843 ms resp. 1904 ms w/o parsing
% 6.64/3.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.64/3.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------