%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT002-1 : 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 : 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 08:00:31 AM UTC 2026
% Result : Unsatisfiable 3.96s 7.61s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 320 ( 56 ~; 54 |; 0 &; 210 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(inertia_decl,type,
inertia: $i > $i > $i > $o ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $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(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_2) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
sk6 @ ( sk4 @ ( sk2 @ inertia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_11) ).
thf(14,plain,
sk6 @ ( sk4 @ ( sk2 @ inertia ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,negated_conjecture,
sk5 @ ( sk3 @ ( sk2 @ inertia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_10) ).
thf(20,plain,
sk5 @ ( sk3 @ ( sk2 @ inertia ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,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_4) ).
thf(28,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)],[11]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reproducibility ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_1) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reproducibility ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,negated_conjecture,
~ ( sk3 @ ( sk4 @ greater ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_13) ).
thf(18,plain,
~ ( sk3 @ ( sk4 @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,negated_conjecture,
sk5 @ ( sk6 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_12) ).
thf(16,plain,
sk5 @ ( sk6 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_3) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
sk5 @ ( sk2 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_7) ).
thf(15,plain,
sk5 @ ( sk2 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ reproducibility ) ) )
| ~ ( B @ ( D @ ( A @ reproducibility ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_FOL_6) ).
thf(32,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ reproducibility ) ) )
| ~ ( B @ ( D @ ( A @ reproducibility ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(2,negated_conjecture,
sk6 @ ( sk2 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_8) ).
thf(17,plain,
sk6 @ ( sk2 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,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_5) ).
thf(30,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)],[12]) ).
thf(3,negated_conjecture,
sk6 @ ( sk5 @ ( sk2 @ reorganization_free ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_9) ).
thf(19,plain,
sk6 @ ( sk5 @ ( sk2 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,plain,
$false,
inference(e,[status(thm)],[24,14,20,28,22,18,16,26,15,32,17,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT002-1 : 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
% 0.18/5.45 % Computer : n007.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 00:00:30 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.46 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
% 1.28/6.16 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.57/6.39 % [INFO] Parsing done (228ms).
% 1.57/6.41 % [INFO] Running in sequential loop mode.
% 2.33/6.89 % [INFO] eprover registered as external prover.
% 2.49/6.90 % [INFO] Scanning for conjecture ...
% 2.49/7.00 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.70/7.03 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.70/7.06 % [INFO] Problem is propositional (TPTP CNF).
% 2.70/7.06 % [INFO] Type checking passed.
% 2.70/7.07 % [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 ...
% 3.96/7.61 % External prover 'e' found a proof!
% 3.96/7.61 % [INFO] Killing All external provers ...
% 3.96/7.61 % Time passed: 1960ms (effective reasoning time: 1184ms)
% 3.96/7.61 % Axioms used in derivation (6): a3_FOL_5, mp4_3, mp3_1, a4_FOL_6, a3_FOL_4, mp4_2
% 3.96/7.61 % No. of inferences in proof: 27
% 3.96/7.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1960 ms resp. 1184 ms w/o parsing
% 3.96/7.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.96/7.65 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------