%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n016.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 3.59s 17.55s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 72 ( 2 ~; 0 |; 6 &; 62 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(about_event_decl,type,
about_event: $i > $i > $o ).
thf(s_decl,type,
s: $i ).
thf(e1_decl,type,
e1: $i ).
thf(subjection_decl,type,
subjection: $i > $o ).
thf(cnt_decl,type,
cnt: $i > $i > $i > $o ).
thf(decl_decl,type,
decl: $i > $i ).
thf(part_of_decl,type,
part_of: $i > $i > $o ).
thf(founds_rem_decl,type,
founds_rem: $i > $i > $i > $o ).
thf(position_decl,type,
position: $i > $o ).
thf(legal_relator_decl,type,
legal_relator: $i > $o ).
thf(rho_r_decl,type,
rho_r: $i ).
thf(rule_decl,type,
rule: $i > $o ).
thf(f1_decl,type,
f1: $i ).
thf(event_decl,type,
event: $i > $o ).
thf(action_decl,type,
action: $i > $o ).
thf(some_action_decl,type,
some_action: $i ).
thf(target_decl,type,
target: $i > $o ).
thf(some_target_decl,type,
some_target: $i ).
thf(1,conjecture,
e1 @ ( s @ about_event ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
thf(2,negated_conjecture,
~ ( e1 @ ( s @ about_event ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ( e1 @ ( s @ about_event ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
f1 @ rule,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_f1) ).
thf(20,plain,
f1 @ rule,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
e1 @ event,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_e1) ).
thf(21,plain,
e1 @ event,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
s @ position,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pos_s) ).
thf(18,plain,
s @ position,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
rho_r @ legal_relator,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rel_rho_r) ).
thf(19,plain,
rho_r @ legal_relator,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,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/sandbox/benchmark/theBenchmark.p',ax_B3) ).
thf(15,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)],[3]) ).
thf(10,axiom,
s @ subjection,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subj_s) ).
thf(24,plain,
s @ subjection,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
some_target @ ( some_action @ decl @ ( s @ cnt ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cnt_s) ).
thf(25,plain,
some_target @ ( some_action @ decl @ ( s @ cnt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
some_action @ action,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',action_a) ).
thf(22,plain,
some_action @ action,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
f1 @ ( rho_r @ ( e1 @ founds_rem ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',founds_rem1) ).
thf(27,plain,
f1 @ ( rho_r @ ( e1 @ founds_rem ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(12,axiom,
rho_r @ ( s @ part_of ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partof_s) ).
thf(26,plain,
rho_r @ ( s @ part_of ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
some_target @ target,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',target_t) ).
thf(23,plain,
some_target @ target,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(28,plain,
$false,
inference(e,[status(thm)],[14,20,21,18,19,15,24,25,22,27,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.14/15.68 % CPULimit : 300
% 0.14/15.68 % WCLimit : 300
% 0.14/15.68 % DateTime : Sat Sep 26 00:14:13 UTC 2026
% 0.14/15.68 % CPUTime :
% 0.14/15.68 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.10/16.27 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.46/16.45 % [INFO] Parsing done (182ms).
% 1.46/16.47 % [INFO] Running in sequential loop mode.
% 2.06/16.88 % [INFO] eprover registered as external prover.
% 2.06/16.88 % [INFO] Scanning for conjecture ...
% 2.27/16.97 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.27/17.00 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.48/17.03 % [INFO] Problem is first-order (TPTP FOF).
% 2.48/17.04 % [INFO] Type checking passed.
% 2.48/17.04 % [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 ...
% 3.59/17.55 % External prover 'e' found a proof!
% 3.59/17.55 % [INFO] Killing All external provers ...
% 3.59/17.55 % Time passed: 1723ms (effective reasoning time: 1074ms)
% 3.59/17.55 % 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)>
% 3.59/17.55 % Axioms used in derivation (11): partof_s, cnt_s, subj_s, pos_s, rule_f1, founds_rem1, action_a, target_t, rel_rho_r, event_e1, ax_B3
% 3.59/17.55 % No. of inferences in proof: 26
% 3.59/17.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1723 ms resp. 1074 ms w/o parsing
% 3.59/17.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.59/17.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------