%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT003+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n019.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 : Theorem 4.70s 2.35s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 221 ( 2 ~; 0 |; 43 &; 165 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 53 ( 0 ^; 51 !; 2 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(survival_chance_decl,type,
survival_chance: $i > $i > $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(inertia_decl,type,
inertia: $i > $i > $i > $o ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ inertia ) ) )
& ( D @ ( B @ ( A @ inertia ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL) ).
thf(25,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ inertia ) ) )
& ( D @ ( B @ ( A @ inertia ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ inertia ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ inertia ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ reorganization_free ) ) )
=> ( ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( B @ ( B @ ( A @ reorganization_free ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4) ).
thf(17,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ reorganization_free ) ) )
=> ( ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( B @ ( B @ ( A @ reorganization_free ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ survival_chance ) ) )
& ( D @ ( B @ ( A @ survival_chance ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ survival_chance ) ) )
& ( D @ ( B @ ( A @ survival_chance ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ survival_chance ) ) )
& ( D @ ( B @ ( A @ survival_chance ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( E @ ( F @ greater ) )
& ( D @ ( H @ ( B @ survival_chance ) ) )
& ( C @ ( G @ ( A @ survival_chance ) ) )
& ( D @ ( F @ ( B @ inertia ) ) )
& ( C @ ( E @ ( A @ inertia ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
thf(23,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( E @ ( F @ greater ) )
& ( D @ ( H @ ( B @ survival_chance ) ) )
& ( C @ ( G @ ( A @ survival_chance ) ) )
& ( D @ ( F @ ( B @ inertia ) ) )
& ( C @ ( E @ ( A @ inertia ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(63,plain,
$false,
inference(e,[status(thm)],[25,21,17,7,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT003+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.22/0.49 % Computer : n019.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sat Sep 26 00:02:34 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 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
% 0.97/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.15 % [INFO] Parsing done (156ms).
% 1.51/1.16 % [INFO] Running in sequential loop mode.
% 1.94/1.49 % [INFO] eprover registered as external prover.
% 2.18/1.50 % [INFO] Scanning for conjecture ...
% 2.18/1.58 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.47/1.62 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.47/1.64 % [INFO] Problem is first-order (TPTP FOF).
% 2.47/1.65 % [INFO] Type checking passed.
% 2.47/1.65 % [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 ...
% 4.70/2.35 % External prover 'e' found a proof!
% 4.70/2.35 % [INFO] Killing All external provers ...
% 4.70/2.35 % Time passed: 1718ms (effective reasoning time: 1184ms)
% 4.70/2.35 % Solved by 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)>
% 4.70/2.35 % Axioms used in derivation (4): t2_FOL, mp5, mp4, t1_FOL
% 4.70/2.35 % No. of inferences in proof: 12
% 4.70/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1718 ms resp. 1184 ms w/o parsing
% 4.70/2.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.70/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------