%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT004-1 : 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 : n018.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 5.39s 3.08s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 360 ( 62 ~; 64 |; 0 &; 234 @)
% ( 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 : 16 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(reorganization_decl,type,
reorganization: $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(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $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(6,negated_conjecture,
~ ( sk6 @ ( sk8 @ greater ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_11) ).
thf(17,plain,
~ ( sk6 @ ( sk8 @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ greater ) )
| ( E @ ( C @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ( B @ ( D @ greater ) )
| ~ ( C @ ( I @ ( A @ accountability ) ) )
| ~ ( B @ ( H @ ( A @ accountability ) ) )
| ~ ( C @ ( G @ ( A @ reliability ) ) )
| ~ ( B @ ( F @ ( A @ reliability ) ) )
| ~ ( E @ ( D @ ( A @ reorganization ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL_5) ).
thf(35,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( I @ ( H @ greater ) )
| ( E @ ( C @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ( B @ ( D @ greater ) )
| ~ ( C @ ( I @ ( A @ accountability ) ) )
| ~ ( B @ ( H @ ( A @ accountability ) ) )
| ~ ( C @ ( G @ ( A @ reliability ) ) )
| ~ ( B @ ( F @ ( A @ reliability ) ) )
| ~ ( E @ ( D @ ( A @ reorganization ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,negated_conjecture,
~ ( sk5 @ ( sk4 @ greater ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_14) ).
thf(18,plain,
~ ( sk5 @ ( sk4 @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,negated_conjecture,
sk6 @ ( sk4 @ ( sk3 @ survival_chance ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_9) ).
thf(23,plain,
sk6 @ ( sk4 @ ( sk3 @ survival_chance ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
sk7 @ ( sk3 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_7) ).
thf(19,plain,
sk7 @ ( sk3 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,negated_conjecture,
sk7 @ ( sk5 @ ( sk3 @ survival_chance ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_10) ).
thf(15,plain,
sk7 @ ( sk5 @ ( sk3 @ survival_chance ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
sk6 @ ( sk7 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_12) ).
thf(20,plain,
sk6 @ ( sk7 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk2 ) @ ( A @ accountability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_2) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk2 ) @ ( A @ accountability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
sk9 @ ( sk8 @ ( sk3 @ reorganization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_8) ).
thf(21,plain,
sk9 @ ( sk8 @ ( sk3 @ reorganization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ greater ) )
| ( E @ ( C @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ( B @ ( D @ greater ) )
| ~ ( C @ ( I @ ( A @ accountability ) ) )
| ~ ( B @ ( H @ ( A @ accountability ) ) )
| ~ ( C @ ( G @ ( A @ reliability ) ) )
| ~ ( B @ ( F @ ( A @ reliability ) ) )
| ~ ( E @ ( D @ ( A @ reorganization ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL_4) ).
thf(33,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ greater ) )
| ( E @ ( C @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ( B @ ( D @ greater ) )
| ~ ( C @ ( I @ ( A @ accountability ) ) )
| ~ ( B @ ( H @ ( A @ accountability ) ) )
| ~ ( C @ ( G @ ( A @ reliability ) ) )
| ~ ( B @ ( F @ ( A @ reliability ) ) )
| ~ ( E @ ( D @ ( A @ reorganization ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,negated_conjecture,
~ ( sk9 @ ( sk7 @ greater ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_13) ).
thf(22,plain,
~ ( sk9 @ ( sk7 @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reliability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_1) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reliability ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
sk6 @ ( sk3 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_6) ).
thf(16,plain,
sk6 @ ( sk3 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,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_3) ).
thf(31,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)],[12]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[17,35,18,23,19,15,20,29,21,33,22,27,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT004-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % 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
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 00:04:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 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
% 1.31/1.26 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.80/1.54 % [INFO] Parsing done (282ms).
% 1.80/1.57 % [INFO] Running in sequential loop mode.
% 2.89/2.19 % [INFO] eprover registered as external prover.
% 2.98/2.21 % [INFO] Scanning for conjecture ...
% 3.16/2.35 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 3.31/2.40 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 3.31/2.44 % [INFO] Problem is propositional (TPTP CNF).
% 3.31/2.44 % [INFO] Type checking passed.
% 3.31/2.44 % [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 ...
% 5.39/3.07 % External prover 'e' found a proof!
% 5.39/3.07 % [INFO] Killing All external provers ...
% 5.39/3.07 % Time passed: 2467ms (effective reasoning time: 1497ms)
% 5.39/3.07 % Axioms used in derivation (5): a1_FOL_3, mp2_2, a6_FOL_5, a6_FOL_4, mp1_1
% 5.39/3.07 % No. of inferences in proof: 29
% 5.39/3.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2467 ms resp. 1497 ms w/o parsing
% 5.39/3.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.39/3.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------