%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT114+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 : n011.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 : Unsatisfiable 4.38s 2.63s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 87 ( 10 equ; 0 cnn)
% Maximal formula atoms : 29 ( 2 avg)
% Number of connectives : 186 ( 2 ~; 0 |; 35 &; 136 @)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 14 !; 6 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(odrl_rel_decl,type,
odrl_rel: $i > $o ).
thf(permission_decl,type,
permission: $i > $o ).
thf(part_of_decl,type,
part_of: $i > $i > $o ).
thf(cnt_decl,type,
cnt: $i > $i > $i > $o ).
thf(no_right_decl,type,
no_right: $i > $o ).
thf(position_decl,type,
position: $i > $o ).
thf(l_decl,type,
l: $i ).
thf(n1_decl,type,
n1: $i ).
thf(n2_decl,type,
n2: $i ).
thf(legal_relator_decl,type,
legal_relator: $i > $o ).
thf(rho1_decl,type,
rho1: $i ).
thf(some_action_decl,type,
some_action: $i ).
thf(some_target_decl,type,
some_target: $i ).
thf(action_decl,type,
action: $i > $o ).
thf(target_decl,type,
target: $i > $o ).
thf(6,axiom,
rho1 @ odrl_rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl_rho1) ).
thf(56,plain,
rho1 @ odrl_rel,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,axiom,
l @ position,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_l) ).
thf(52,plain,
l @ position,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
rho1 @ ( n1 @ part_of ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n1) ).
thf(61,plain,
rho1 @ ( n1 @ part_of ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(10,axiom,
rho1 @ ( l @ part_of ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_l) ).
thf(60,plain,
rho1 @ ( l @ part_of ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,axiom,
some_target @ ( some_action @ ( n2 @ cnt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n2) ).
thf(65,plain,
some_target @ ( some_action @ ( n2 @ cnt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,axiom,
n1 @ position,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_n1) ).
thf(53,plain,
n1 @ position,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
some_target @ ( some_action @ ( n1 @ cnt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n1) ).
thf(64,plain,
some_target @ ( some_action @ ( n1 @ cnt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
n2 @ no_right,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n2) ).
thf(59,plain,
n2 @ no_right,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(16,axiom,
some_action @ action,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',action_typed) ).
thf(66,plain,
some_action @ action,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
some_target @ ( some_action @ ( l @ cnt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_l) ).
thf(63,plain,
some_target @ ( some_action @ ( l @ cnt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,axiom,
some_target @ target,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',target_typed) ).
thf(67,plain,
some_target @ target,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(5,axiom,
rho1 @ legal_relator,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rel_rho1) ).
thf(55,plain,
rho1 @ legal_relator,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
n1 @ no_right,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n1) ).
thf(58,plain,
n1 @ no_right,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ odrl_rel )
=> ( ? [D: $i] :
( ! [E: $i] :
( ( ( C @ ( B @ ( E @ cnt ) ) )
& ( A @ ( E @ part_of ) )
& ( E @ permission ) )
=> ( E = D ) )
& ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ part_of ) )
& ( D @ permission ) )
<=> ? [D: $i] :
( ! [E: $i] :
( ( ( C @ ( B @ ( E @ cnt ) ) )
& ( A @ ( E @ part_of ) )
& ( E @ no_right ) )
=> ( E = D ) )
& ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ part_of ) )
& ( D @ no_right ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_correlativity_permission) ).
thf(20,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ odrl_rel )
=> ( ( ? [D: $i] :
( ! [E: $i] :
( ( ( C @ ( B @ ( E @ cnt ) ) )
& ( A @ ( E @ part_of ) )
& ( E @ no_right ) )
=> ( E = D ) )
& ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ part_of ) )
& ( D @ no_right ) )
=> ? [D: $i] :
( ! [E: $i] :
( ( ( C @ ( B @ ( E @ cnt ) ) )
& ( A @ ( E @ part_of ) )
& ( E @ permission ) )
=> ( E = D ) )
& ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ part_of ) )
& ( D @ permission ) ) )
& ( ? [D: $i] :
( ! [E: $i] :
( ( ( C @ ( B @ ( E @ cnt ) ) )
& ( A @ ( E @ part_of ) )
& ( E @ permission ) )
=> ( E = D ) )
& ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ part_of ) )
& ( D @ permission ) )
=> ? [D: $i] :
( ! [E: $i] :
( ( ( C @ ( B @ ( E @ cnt ) ) )
& ( A @ ( E @ part_of ) )
& ( E @ no_right ) )
=> ( E = D ) )
& ( C @ ( B @ ( D @ cnt ) ) )
& ( A @ ( D @ part_of ) )
& ( D @ no_right ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
l @ permission,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permission_l) ).
thf(57,plain,
l @ permission,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,axiom,
! [A: $i] :
( ( ( some_target @ ( some_action @ ( A @ cnt ) ) )
& ( rho1 @ ( A @ part_of ) )
& ( A @ permission ) )
=> ( A = l ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',perm_l_unique) ).
thf(71,plain,
! [A: $i] :
( ( ( some_target @ ( some_action @ ( A @ cnt ) ) )
& ( rho1 @ ( A @ part_of ) )
& ( A @ permission ) )
=> ( A = l ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(4,axiom,
n2 @ position,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_n2) ).
thf(54,plain,
n2 @ position,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,axiom,
n1 != n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1_neq_n2) ).
thf(68,plain,
n1 != n2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
rho1 @ ( n2 @ part_of ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n2) ).
thf(62,plain,
rho1 @ ( n2 @ part_of ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(79,plain,
$false,
inference(e,[status(thm)],[56,52,61,60,65,53,64,59,66,63,67,55,58,20,57,71,54,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT114+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
% 0.11/0.39 % Computer : n011.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sat Sep 26 00:14:14 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 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
% 0.85/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/1.19 % [INFO] Parsing done (196ms).
% 1.37/1.21 % [INFO] Running in sequential loop mode.
% 1.96/1.61 % [INFO] eprover registered as external prover.
% 1.96/1.62 % [INFO] Scanning for conjecture ...
% 1.96/1.67 % [INFO] 19 axioms and no conjecture found.
% 2.13/1.74 % [INFO] Problem is first-order (TPTP FOF).
% 2.13/1.75 % [INFO] Type checking passed.
% 2.13/1.75 % [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 ...
% 4.38/2.63 % External prover 'e' found a proof!
% 4.38/2.63 % [INFO] Killing All external provers ...
% 4.38/2.63 % Time passed: 2084ms (effective reasoning time: 1416ms)
% 4.38/2.63 % Axioms used in derivation (19): partof_l, odrl_rho1, pos_n2, no_right_n2, target_typed, perm_l_unique, no_right_n1, permission_l, cnt_n1, n1_neq_n2, action_typed, cnt_n2, ax_correlativity_permission, cnt_l, rel_rho1, partof_n2, pos_n1, partof_n1, pos_l
% 4.38/2.63 % No. of inferences in proof: 39
% 4.38/2.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2084 ms resp. 1416 ms w/o parsing
% 4.38/2.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.38/2.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------