%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT113+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 : 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 08:00:56 AM UTC 2026
% Result : Theorem 4.98s 2.89s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 48 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 184 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 517 ( 2 ~; 0 |; 120 &; 379 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 37 usr; 8 con; 0-5 aty)
% Number of variables : 103 ( 0 ^; 70 !; 33 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
thf(founds_rem_decl,type,
founds_rem: $i > $i > $i > $o ).
thf(e1_decl,type,
e1: $i ).
thf(f1_decl,type,
f1: $i ).
thf(power_decl,type,
power: $i > $o ).
thf(bearer_decl,type,
bearer: $i > $i > $o ).
thf(philharmonie_decl,type,
philharmonie: $i ).
thf(cnt_decl,type,
cnt: $i > $i > $i > $o ).
thf(decl_decl,type,
decl: $i > $i ).
thf(distrib_decl,type,
distrib: $i ).
thf(concert_ds_decl,type,
concert_ds: $i ).
thf(part_of_decl,type,
part_of: $i > $i > $o ).
thf(about_event_decl,type,
about_event: $i > $i > $o ).
thf(subjection_decl,type,
subjection: $i > $o ).
thf(marketplace_decl,type,
marketplace: $i ).
thf(norm_state_change_decl,type,
norm_state_change: $i > $i > $i > $i > $o ).
thf(inst_event_decl,type,
inst_event: $i > $o ).
thf(triggers_decl,type,
triggers: $i > $i > $i > $i > $i > $o ).
thf(competent_for_decl,type,
competent_for: $i > $i > $o ).
thf(proh_decl,type,
proh: $i > $o ).
thf(has_rem_decl,type,
has_rem: $i > $o ).
thf(act_decl,type,
act: $i > $i > $o ).
thf(tgt_decl,type,
tgt: $i > $i > $o ).
thf(aee_decl,type,
aee: $i > $i > $o ).
thf(does_decl,type,
does: $i > $i > $i > $o ).
thf(rem_act_decl,type,
rem_act: $i > $i > $o ).
thf(duty_rem_decl,type,
duty_rem: $i ).
thf(activates_decl,type,
activates: $i > $i > $o ).
thf(agent_decl,type,
agent: $i > $o ).
thf(event_decl,type,
event: $i > $o ).
thf(target_decl,type,
target: $i > $o ).
thf(aer_decl,type,
aer: $i > $i > $o ).
thf(rule_decl,type,
rule: $i > $o ).
thf(founds_decl,type,
founds: $i > $i > $i > $o ).
thf(duty_decl,type,
duty: $i > $o ).
thf(rfr_decl,type,
rfr: $i > $i ).
thf(right_decl,type,
right: $i > $o ).
thf(action_decl,type,
action: $i > $o ).
thf(22,axiom,
distrib @ action,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',action_distrib) ).
thf(88,plain,
distrib @ action,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(1,conjecture,
? [A: $i,B: $i,C: $i] :
( ( e1 @ ( C @ about_event ) )
& ( A @ ( C @ part_of ) )
& ( concert_ds @ ( distrib @ decl @ ( C @ cnt ) ) )
& ( marketplace @ ( C @ bearer ) )
& ( C @ subjection )
& ( e1 @ ( B @ about_event ) )
& ( A @ ( B @ part_of ) )
& ( concert_ds @ ( distrib @ decl @ ( B @ cnt ) ) )
& ( philharmonie @ ( B @ bearer ) )
& ( B @ power )
& ( f1 @ ( A @ ( e1 @ founds_rem ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i] :
( ( e1 @ ( C @ about_event ) )
& ( A @ ( C @ part_of ) )
& ( concert_ds @ ( distrib @ decl @ ( C @ cnt ) ) )
& ( marketplace @ ( C @ bearer ) )
& ( C @ subjection )
& ( e1 @ ( B @ about_event ) )
& ( A @ ( B @ part_of ) )
& ( concert_ds @ ( distrib @ decl @ ( B @ cnt ) ) )
& ( philharmonie @ ( B @ bearer ) )
& ( B @ power )
& ( f1 @ ( A @ ( e1 @ founds_rem ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(25,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( e1 @ ( C @ about_event ) )
& ( A @ ( C @ part_of ) )
& ( concert_ds @ ( distrib @ decl @ ( C @ cnt ) ) )
& ( marketplace @ ( C @ bearer ) )
& ( C @ subjection )
& ( e1 @ ( B @ about_event ) )
& ( A @ ( B @ part_of ) )
& ( concert_ds @ ( distrib @ decl @ ( B @ cnt ) ) )
& ( philharmonie @ ( B @ bearer ) )
& ( B @ power )
& ( f1 @ ( A @ ( e1 @ founds_rem ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,axiom,
marketplace @ ( f1 @ aee ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_f1) ).
thf(52,plain,
marketplace @ ( f1 @ aee ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(20,axiom,
f1 @ proh,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proh_f1) ).
thf(78,plain,
f1 @ proh,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(23,axiom,
concert_ds @ ( distrib @ ( marketplace @ does ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',marketplace_does) ).
thf(89,plain,
concert_ds @ ( distrib @ ( marketplace @ does ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,axiom,
f1 @ rule,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_f1) ).
thf(65,plain,
f1 @ rule,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( A @ ( F @ activates ) )
& ( E @ ( A @ tgt ) )
& ( D @ ( A @ act ) )
& ( C @ ( A @ aer ) )
& ( B @ ( A @ aee ) )
& ( A @ has_rem )
& ( A @ proh ) )
=> ? [G: $i,H: $i,I: $i] :
( ( G @ ( I @ part_of ) )
& ( E @ ( D @ decl @ ( I @ cnt ) ) )
& ( B @ ( I @ bearer ) )
& ( I @ subjection )
& ( G @ ( H @ part_of ) )
& ( E @ ( D @ decl @ ( H @ cnt ) ) )
& ( C @ ( H @ bearer ) )
& ( H @ power )
& ( A @ ( G @ ( F @ founds_rem ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_proh_relator_remedy) ).
thf(53,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( A @ ( F @ activates ) )
& ( E @ ( A @ tgt ) )
& ( D @ ( A @ act ) )
& ( C @ ( A @ aer ) )
& ( B @ ( A @ aee ) )
& ( A @ has_rem )
& ( A @ proh ) )
=> ? [G: $i,H: $i,I: $i] :
( ( G @ ( I @ part_of ) )
& ( E @ ( D @ decl @ ( I @ cnt ) ) )
& ( B @ ( I @ bearer ) )
& ( I @ subjection )
& ( G @ ( H @ part_of ) )
& ( E @ ( D @ decl @ ( H @ cnt ) ) )
& ( C @ ( H @ bearer ) )
& ( H @ power )
& ( A @ ( G @ ( F @ founds_rem ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ ( D @ ( E @ founds_rem ) ) )
& ( D @ ( A @ part_of ) )
& ( C @ ( B @ decl @ ( A @ cnt ) ) )
& ( A @ subjection ) )
=> ( E @ ( A @ about_event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_B3) ).
thf(41,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ ( D @ ( E @ founds_rem ) ) )
& ( D @ ( A @ part_of ) )
& ( C @ ( B @ decl @ ( A @ cnt ) ) )
& ( A @ subjection ) )
=> ( E @ ( A @ about_event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
f1 @ has_rem,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rem_f1) ).
thf(44,plain,
f1 @ has_rem,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
e1 @ event,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_e1) ).
thf(49,plain,
e1 @ event,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
f1 @ ( e1 @ activates ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_e1_f1) ).
thf(39,plain,
f1 @ ( e1 @ activates ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( A @ ( F @ activates ) )
& ( E @ ( A @ tgt ) )
& ( D @ ( A @ act ) )
& ( C @ ( A @ aer ) )
& ( B @ ( A @ aee ) )
& ( A @ proh ) )
=> ? [G: $i,H: $i,I: $i] :
( ( G @ ( I @ part_of ) )
& ( E @ ( D @ rfr @ ( I @ cnt ) ) )
& ( C @ ( I @ bearer ) )
& ( I @ right )
& ( G @ ( H @ part_of ) )
& ( E @ ( D @ rfr @ ( H @ cnt ) ) )
& ( B @ ( H @ bearer ) )
& ( H @ duty )
& ( A @ ( G @ ( F @ founds ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_proh_relator_conduct) ).
thf(66,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( A @ ( F @ activates ) )
& ( E @ ( A @ tgt ) )
& ( D @ ( A @ act ) )
& ( C @ ( A @ aer ) )
& ( B @ ( A @ aee ) )
& ( A @ proh ) )
=> ? [G: $i,H: $i,I: $i] :
( ( G @ ( I @ part_of ) )
& ( E @ ( D @ rfr @ ( I @ cnt ) ) )
& ( C @ ( I @ bearer ) )
& ( I @ right )
& ( G @ ( H @ part_of ) )
& ( E @ ( D @ rfr @ ( H @ cnt ) ) )
& ( B @ ( H @ bearer ) )
& ( H @ duty )
& ( A @ ( G @ ( F @ founds ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,axiom,
philharmonie @ agent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_philharmonie) ).
thf(48,plain,
philharmonie @ agent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,axiom,
concert_ds @ target,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',target_concert) ).
thf(50,plain,
concert_ds @ target,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(8,axiom,
marketplace @ agent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_marketplace) ).
thf(40,plain,
marketplace @ agent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
philharmonie @ ( f1 @ aer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_f1) ).
thf(51,plain,
philharmonie @ ( f1 @ aer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ competent_for ) )
=> ? [C: $i,D: $i,E: $i] :
( ( B @ ( D @ about_event ) )
& ( E @ ( D @ bearer ) )
& ( D @ subjection )
& ( B @ ( C @ about_event ) )
& ( A @ ( C @ bearer ) )
& ( C @ power ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_A3) ).
thf(79,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ competent_for ) )
=> ? [C: $i,D: $i,E: $i] :
( ( B @ ( D @ about_event ) )
& ( E @ ( D @ bearer ) )
& ( D @ subjection )
& ( B @ ( C @ about_event ) )
& ( A @ ( C @ bearer ) )
& ( C @ power ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,axiom,
concert_ds @ ( f1 @ tgt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_f1) ).
thf(90,plain,
concert_ds @ ( f1 @ tgt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ norm_state_change ) ) ) )
=> ? [E: $i] :
( ( D @ ( C @ ( B @ ( A @ ( E @ triggers ) ) ) ) )
& ( E @ inst_event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_A1) ).
thf(28,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ norm_state_change ) ) ) )
=> ? [E: $i] :
( ( D @ ( C @ ( B @ ( A @ ( E @ triggers ) ) ) ) )
& ( E @ inst_event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
distrib @ ( f1 @ act ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_f1) ).
thf(38,plain,
distrib @ ( f1 @ act ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ ( D @ ( E @ founds_rem ) ) )
& ( D @ ( A @ part_of ) )
& ( C @ ( B @ decl @ ( A @ cnt ) ) )
& ( A @ power ) )
=> ( E @ ( A @ about_event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_B2) ).
thf(45,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ ( D @ ( E @ founds_rem ) ) )
& ( D @ ( A @ part_of ) )
& ( C @ ( B @ decl @ ( A @ cnt ) ) )
& ( A @ power ) )
=> ( E @ ( A @ about_event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ inst_event )
=> ? [B: $i] : ( A @ ( B @ competent_for ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_A2) ).
thf(32,plain,
! [A: $i] :
( ( A @ inst_event )
=> ? [B: $i] : ( A @ ( B @ competent_for ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ does ) ) )
& ( B @ ( A @ aee ) )
& ( D @ ( A @ tgt ) )
& ( C @ ( A @ act ) )
& ( A @ has_rem )
& ( A @ proh ) )
=> ? [E: $i] :
( ( duty_rem @ ( D @ ( E @ ( B @ norm_state_change ) ) ) )
& ( E @ ( A @ rem_act ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_B1) ).
thf(34,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ does ) ) )
& ( B @ ( A @ aee ) )
& ( D @ ( A @ tgt ) )
& ( C @ ( A @ act ) )
& ( A @ has_rem )
& ( A @ proh ) )
=> ? [E: $i] :
( ( duty_rem @ ( D @ ( E @ ( B @ norm_state_change ) ) ) )
& ( E @ ( A @ rem_act ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(97,plain,
$false,
inference(e,[status(thm)],[88,25,52,78,89,65,53,41,44,49,39,66,48,50,40,51,79,90,28,38,45,32,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT113+1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.15/0.39 % Computer : n019.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat Sep 26 00:14:35 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.40 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
% 0.90/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.19 % [INFO] Parsing done (204ms).
% 1.47/1.21 % [INFO] Running in sequential loop mode.
% 2.16/1.60 % [INFO] eprover registered as external prover.
% 2.16/1.61 % [INFO] Scanning for conjecture ...
% 2.34/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 22 axioms. Running axiom selection ...
% 2.52/1.83 % [INFO] Axiom selection finished. Selected 22 axioms (removed 0 axioms).
% 2.52/1.88 % [INFO] Problem is first-order (TPTP FOF).
% 2.52/1.89 % [INFO] Type checking passed.
% 2.52/1.89 % [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 ...
% 4.98/2.88 % External prover 'e' found a proof!
% 4.98/2.88 % [INFO] Killing All external provers ...
% 4.98/2.89 % Time passed: 2344ms (effective reasoning time: 1672ms)
% 4.98/2.89 % 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)>
% 4.98/2.89 % Axioms used in derivation (22): aer_f1, ax_proh_relator_conduct, ax_A2, act_e1_f1, target_concert, proh_f1, ax_A3, tgt_f1, marketplace_does, rule_f1, ax_B2, action_distrib, event_e1, ax_B3, ax_A1, agent_philharmonie, agent_marketplace, aee_f1, ax_proh_relator_remedy, ax_B1, act_f1, rem_f1
% 4.98/2.89 % No. of inferences in proof: 48
% 4.98/2.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2344 ms resp. 1672 ms w/o parsing
% 5.22/2.95 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.22/2.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------