%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n017.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 08:00:55 AM UTC 2026
% Result : Theorem 4.24s 2.26s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 108 ( 6 ~; 0 |; 28 &; 72 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 0 ^; 6 !; 13 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(permission_decl,type,
permission: $i > $o ).
thf(bearer_decl,type,
bearer: $i > $i > $o ).
thf(portal_decl,type,
portal: $i ).
thf(cnt_decl,type,
cnt: $i > $i > $i > $o ).
thf(modify_act_decl,type,
modify_act: $i ).
thf(theater_ds_decl,type,
theater_ds: $i ).
thf(agent_decl,type,
agent: $i > $o ).
thf(ensemble_decl,type,
ensemble: $i ).
thf(action_decl,type,
action: $i > $o ).
thf(target_decl,type,
target: $i > $o ).
thf(proh_decl,type,
proh: $i > $o ).
thf(aee_decl,type,
aee: $i > $i > $o ).
thf(act_decl,type,
act: $i > $i > $o ).
thf(activates_decl,type,
activates: $i > $i > $o ).
thf(6,axiom,
theater_ds @ target,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',target_theater) ).
thf(14,plain,
theater_ds @ target,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
? [A: $i] :
( ( theater_ds @ ( modify_act @ ( A @ cnt ) ) )
& ( portal @ ( A @ bearer ) )
& ( A @ permission ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( theater_ds @ ( modify_act @ ( A @ cnt ) ) )
& ( portal @ ( A @ bearer ) )
& ( A @ permission ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ? [A: $i] :
( ( theater_ds @ ( modify_act @ ( A @ cnt ) ) )
& ( portal @ ( A @ bearer ) )
& ( A @ permission ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
modify_act @ action,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',action_modify) ).
thf(13,plain,
modify_act @ action,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
ensemble @ agent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_ensemble) ).
thf(12,plain,
ensemble @ agent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
portal @ agent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_portal) ).
thf(11,plain,
portal @ agent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ? [D: $i,E: $i] :
( ( D @ ( E @ activates ) )
& ( B @ ( D @ act ) )
& ( A @ ( D @ aee ) )
& ( D @ proh ) )
& ( C @ target )
& ( B @ action )
& ( A @ agent ) )
=> ? [D: $i] :
( ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ bearer ) )
& ( D @ permission ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_world_closure) ).
thf(19,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ? [D: $i,E: $i] :
( ( D @ ( E @ activates ) )
& ( B @ ( D @ act ) )
& ( A @ ( D @ aee ) )
& ( D @ proh ) )
& ( C @ target )
& ( B @ action )
& ( A @ agent ) )
=> ? [D: $i] :
( ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ bearer ) )
& ( D @ permission ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,axiom,
~ ? [A: $i,B: $i] :
( ( A @ ( B @ activates ) )
& ( modify_act @ ( A @ act ) )
& ( portal @ ( A @ aee ) )
& ( A @ proh ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_proh_modify) ).
thf(15,plain,
~ ? [A: $i,B: $i] :
( ( A @ ( B @ activates ) )
& ( modify_act @ ( A @ act ) )
& ( portal @ ( A @ aee ) )
& ( A @ proh ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(33,plain,
$false,
inference(e,[status(thm)],[14,9,13,12,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.12 % 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
% 0.24/0.51 % Computer : n017.cluster.edu
% 0.24/0.51 % Model : x86_64 x86_64
% 0.24/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.51 % Memory : 8046.5625MB
% 0.24/0.51 % OS : Linux 6.8.0-71-generic
% 0.24/0.51 % CPULimit : 300
% 0.24/0.51 % WCLimit : 300
% 0.24/0.51 % DateTime : Sat Sep 26 00:09:18 UTC 2026
% 0.24/0.51 % CPUTime :
% 0.24/0.51 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
% 0.96/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.49/1.15 % [INFO] Parsing done (149ms).
% 1.49/1.16 % [INFO] Running in sequential loop mode.
% 1.91/1.49 % [INFO] eprover registered as external prover.
% 2.17/1.50 % [INFO] Scanning for conjecture ...
% 2.17/1.58 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.37/1.61 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.37/1.63 % [INFO] Problem is first-order (TPTP FOF).
% 2.37/1.64 % [INFO] Type checking passed.
% 2.37/1.64 % [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 ...
% 4.24/2.26 % External prover 'e' found a proof!
% 4.24/2.26 % [INFO] Killing All external provers ...
% 4.24/2.26 % Time passed: 1614ms (effective reasoning time: 1088ms)
% 4.24/2.26 % 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)>
% 4.24/2.26 % Axioms used in derivation (6): agent_ensemble, open_world_closure, action_modify, no_proh_modify, agent_portal, target_theater
% 4.24/2.26 % No. of inferences in proof: 16
% 4.24/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1614 ms resp. 1088 ms w/o parsing
% 4.24/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.24/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------