%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT010-1 : 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 : 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 08:00:33 AM UTC 2026
% Result : Unsatisfiable 4.92s 2.65s
% Output : Refutation 5.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 121 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 484 ( 84 ~; 82 |; 0 &; 318 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 82 ( 0 ^; 82 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk11_decl,type,
sk11: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk12_decl,type,
sk12: $i ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(class_decl,type,
class: $i > $i > $i > $o ).
thf(sk4_decl,type,
sk4: $i ).
thf(reliability_decl,type,
reliability: $i > $i > $i > $o ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(accountability_decl,type,
accountability: $i > $i > $i > $o ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(size_decl,type,
size: $i > $i > $i > $o ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(reproducibility_decl,type,
reproducibility: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i > $i ).
thf(18,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/sandbox/benchmark/theBenchmark.p',a2_FOL_4) ).
thf(41,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)],[18]) ).
thf(8,negated_conjecture,
sk12 @ ( sk6 @ ( sk3 @ reliability ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_13) ).
thf(32,plain,
sk12 @ ( sk6 @ ( sk3 @ reliability ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(17,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/sandbox/benchmark/theBenchmark.p',a2_FOL_3) ).
thf(39,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)],[17]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reproducibility ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_1) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reproducibility ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,negated_conjecture,
sk11 @ ( sk9 @ ( sk2 @ size ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_16) ).
thf(31,plain,
sk11 @ ( sk9 @ ( sk2 @ size ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( G @ greater ) )
| ~ ( H @ ( I @ greater ) )
| ~ ( D @ ( I @ ( C @ size ) ) )
| ~ ( B @ ( H @ ( A @ size ) ) )
| ~ ( D @ ( G @ ( C @ reproducibility ) ) )
| ~ ( B @ ( F @ ( A @ reproducibility ) ) )
| ~ ( D @ ( E @ ( C @ class ) ) )
| ~ ( B @ ( E @ ( A @ class ) ) )
| ~ ( D @ ( D @ ( C @ reorganization_free ) ) )
| ~ ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_5) ).
thf(43,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( G @ greater ) )
| ~ ( H @ ( I @ greater ) )
| ~ ( D @ ( I @ ( C @ size ) ) )
| ~ ( B @ ( H @ ( A @ size ) ) )
| ~ ( D @ ( G @ ( C @ reproducibility ) ) )
| ~ ( B @ ( F @ ( A @ reproducibility ) ) )
| ~ ( D @ ( E @ ( C @ class ) ) )
| ~ ( B @ ( E @ ( A @ class ) ) )
| ~ ( 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(3,negated_conjecture,
sk11 @ ( sk11 @ ( sk2 @ reorganization_free ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_8) ).
thf(30,plain,
sk11 @ ( sk11 @ ( sk2 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
sk12 @ ( sk4 @ ( sk3 @ class ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_11) ).
thf(24,plain,
sk12 @ ( sk4 @ ( sk3 @ class ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,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/sandbox/benchmark/theBenchmark.p',a2_FOL_2) ).
thf(37,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)],[16]) ).
thf(9,negated_conjecture,
sk11 @ ( sk7 @ ( sk2 @ accountability ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_14) ).
thf(25,plain,
sk11 @ ( sk7 @ ( sk2 @ accountability ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
sk11 @ ( sk4 @ ( sk2 @ class ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_10) ).
thf(20,plain,
sk11 @ ( sk4 @ ( sk2 @ class ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
sk11 @ ( sk5 @ ( sk2 @ reliability ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_12) ).
thf(29,plain,
sk11 @ ( sk5 @ ( sk2 @ reliability ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,negated_conjecture,
sk12 @ ( sk10 @ ( sk3 @ size ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_17) ).
thf(28,plain,
sk12 @ ( sk10 @ ( sk3 @ size ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,negated_conjecture,
sk12 @ ( sk8 @ ( sk3 @ accountability ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_15) ).
thf(21,plain,
sk12 @ ( sk8 @ ( sk3 @ accountability ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,negated_conjecture,
sk12 @ ( sk12 @ ( sk3 @ reorganization_free ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_9) ).
thf(33,plain,
sk12 @ ( sk12 @ ( sk3 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,negated_conjecture,
( ~ ( sk7 @ ( sk8 @ greater ) )
| ~ ( sk5 @ ( sk6 @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_19) ).
thf(22,plain,
( ~ ( sk7 @ ( sk8 @ greater ) )
| ~ ( sk5 @ ( sk6 @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,negated_conjecture,
sk12 @ ( sk3 @ organization ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_7) ).
thf(27,plain,
sk12 @ ( sk3 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,negated_conjecture,
sk9 @ ( sk10 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_18) ).
thf(26,plain,
sk9 @ ( sk10 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
sk11 @ ( sk2 @ organization ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_6) ).
thf(23,plain,
sk11 @ ( sk2 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(45,plain,
$false,
inference(e,[status(thm)],[41,32,39,35,31,43,30,24,37,25,20,29,28,21,33,22,27,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT010-1 : 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
% 0.23/0.49 % Computer : n006.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sat Sep 26 00:02:55 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 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
% 1.10/1.07 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.42/1.24 % [INFO] Parsing done (165ms).
% 1.42/1.25 % [INFO] Running in sequential loop mode.
% 2.09/1.57 % [INFO] eprover registered as external prover.
% 2.09/1.58 % [INFO] Scanning for conjecture ...
% 2.35/1.66 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.35/1.69 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.56/1.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.56/1.74 % [INFO] Type checking passed.
% 2.56/1.74 % [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 ...
% 4.92/2.64 % External prover 'e' found a proof!
% 4.92/2.65 % [INFO] Killing All external provers ...
% 4.92/2.65 % Time passed: 2002ms (effective reasoning time: 1394ms)
% 4.92/2.65 % Axioms used in derivation (5): a2_FOL_3, a2_FOL_2, mp3_1, t9_FOL_5, a2_FOL_4
% 4.92/2.65 % No. of inferences in proof: 39
% 4.92/2.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2002 ms resp. 1394 ms w/o parsing
% 5.35/2.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.35/2.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------