%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT112+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Wed Oct 7 10:31:53 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 30
% Syntax : Number of formulae : 117 ( 100 unt; 0 typ; 0 def)
% Number of atoms : 622 ( 165 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 819 ( 137 ~; 161 |; 12 &; 507 @)
% ( 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 : 31 ( 28 usr; 12 con; 0-3 aty)
% Number of variables : 150 ( 0 ^; 148 !; 2 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_act,type,
act: $i > $i > $o ).
thf(tp_action,type,
action: $i > $o ).
thf(tp_aee,type,
aee: $i > $i > $o ).
thf(tp_aer,type,
aer: $i > $i > $o ).
thf(tp_agent,type,
agent: $i > $o ).
thf(tp_bearer,type,
bearer: $i > $i > $o ).
thf(tp_bibliothek,type,
bibliothek: $i ).
thf(tp_cnt,type,
cnt: $i > $i > $i > $o ).
thf(tp_db,type,
db: $i ).
thf(tp_disability,type,
disability: $i > $o ).
thf(tp_f2,type,
f2: $i ).
thf(tp_im,type,
im: $i ).
thf(tp_immunity,type,
immunity: $i > $o ).
thf(tp_l,type,
l: $i ).
thf(tp_legal_relator,type,
legal_relator: $i > $o ).
thf(tp_museen,type,
museen: $i ).
thf(tp_museum_api,type,
museum_api: $i ).
thf(tp_n,type,
n: $i ).
thf(tp_no_right,type,
no_right: $i > $o ).
thf(tp_odrl_rel,type,
odrl_rel: $i > $o ).
thf(tp_permission,type,
permission: $i > $o ).
thf(tp_position,type,
position: $i > $o ).
thf(tp_proh,type,
proh: $i > $o ).
thf(tp_read,type,
read: $i ).
thf(tp_rho1,type,
rho1: $i ).
thf(tp_rule,type,
rule: $i > $o ).
thf(tp_target,type,
target: $i > $o ).
thf(tp_tgt,type,
tgt: $i > $i > $o ).
thf(1,axiom,
tgt @ f2 @ museum_api,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_f2) ).
thf(2,axiom,
act @ f2 @ read,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_f2) ).
thf(3,axiom,
aer @ f2 @ museen,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_f2) ).
thf(4,axiom,
aee @ f2 @ bibliothek,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_f2) ).
thf(5,axiom,
proh @ f2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proh_f2) ).
thf(6,axiom,
rule @ f2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_f2) ).
thf(7,axiom,
cnt @ db @ read @ museum_api,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_db) ).
thf(8,axiom,
cnt @ im @ read @ museum_api,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_im) ).
thf(9,axiom,
cnt @ n @ read @ museum_api,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n) ).
thf(10,axiom,
cnt @ l @ read @ museum_api,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_l) ).
thf(11,axiom,
bearer @ db @ museen,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_db) ).
thf(12,axiom,
bearer @ im @ bibliothek,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_im) ).
thf(13,axiom,
bearer @ n @ museen,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_n) ).
thf(14,axiom,
bearer @ l @ bibliothek,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_l) ).
thf(15,axiom,
disability @ db,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disability_db) ).
thf(16,axiom,
immunity @ im,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',immunity_im) ).
thf(17,axiom,
no_right @ n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n) ).
thf(18,axiom,
permission @ l,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permission_l) ).
thf(19,axiom,
odrl_rel @ rho1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl_rho1) ).
thf(20,axiom,
legal_relator @ rho1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rel_rho1) ).
thf(21,axiom,
position @ db,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_db) ).
thf(22,axiom,
position @ im,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_im) ).
thf(23,axiom,
position @ n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_n) ).
thf(24,axiom,
position @ l,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_l) ).
thf(25,axiom,
target @ museum_api,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',target_museum) ).
thf(26,axiom,
action @ read,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',action_read) ).
thf(27,axiom,
agent @ museen,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_museen) ).
thf(28,axiom,
agent @ bibliothek,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_bibliothek) ).
thf(29,axiom,
! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
( ( ( proh @ F )
& ( aee @ F @ X )
& ( aer @ F @ Y )
& ( act @ F @ A )
& ( tgt @ F @ T ) )
=> ~ ? [Db: $i] :
( ( disability @ Db )
& ( bearer @ Db @ Y )
& ( cnt @ Db @ A @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_disability_block) ).
thf(30,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(31,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[30]) ).
thf(32,plain,
$false = $false,
inference(unfold_def,[status(thm)],[31]) ).
thf(33,plain,
( ( tgt @ f2 @ museum_api )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(34,plain,
( ( act @ f2 @ read )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(35,plain,
( ( aer @ f2 @ museen )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(36,plain,
( ( aee @ f2 @ bibliothek )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(37,plain,
( ( proh @ f2 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(38,plain,
( ( rule @ f2 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(39,plain,
( ( cnt @ db @ read @ museum_api )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(40,plain,
( ( cnt @ im @ read @ museum_api )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(41,plain,
( ( cnt @ n @ read @ museum_api )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(42,plain,
( ( cnt @ l @ read @ museum_api )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(43,plain,
( ( bearer @ db @ museen )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(44,plain,
( ( bearer @ im @ bibliothek )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(45,plain,
( ( bearer @ n @ museen )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(46,plain,
( ( bearer @ l @ bibliothek )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(47,plain,
( ( disability @ db )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(48,plain,
( ( immunity @ im )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(49,plain,
( ( no_right @ n )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(50,plain,
( ( permission @ l )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(51,plain,
( ( odrl_rel @ rho1 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(52,plain,
( ( legal_relator @ rho1 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(53,plain,
( ( position @ db )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(54,plain,
( ( position @ im )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(55,plain,
( ( position @ n )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(56,plain,
( ( position @ l )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(57,plain,
( ( target @ museum_api )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(58,plain,
( ( action @ read )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(59,plain,
( ( agent @ museen )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(60,plain,
( ( agent @ bibliothek )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(61,plain,
( ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
( ( ( proh @ F )
& ( aee @ F @ X )
& ( aer @ F @ Y )
& ( act @ F @ A )
& ( tgt @ F @ T ) )
=> ~ ? [Db: $i] :
( ( disability @ Db )
& ( bearer @ Db @ Y )
& ( cnt @ Db @ A @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(62,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[32]) ).
thf(63,plain,
( ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
( ~ ( aee @ F @ X )
| ~ ( proh @ F )
| ~ ( aer @ F @ Y )
| ~ ( act @ F @ A )
| ~ ( tgt @ F @ T )
| ! [Db: $i] :
( ~ ( bearer @ Db @ Y )
| ~ ( disability @ Db )
| ~ ( cnt @ Db @ A @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(64,plain,
( ( ! [F: $i,X: $i,Y: $i,A: $i,T: $i] :
( ~ ( aee @ F @ X )
| ~ ( proh @ F )
| ~ ( aer @ F @ Y )
| ~ ( act @ F @ A )
| ~ ( tgt @ F @ T )
| ! [Db: $i] :
( ~ ( bearer @ Db @ Y )
| ~ ( disability @ Db )
| ~ ( cnt @ Db @ A @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(65,plain,
( ( agent @ bibliothek )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(66,plain,
( ( agent @ museen )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(67,plain,
( ( action @ read )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(68,plain,
( ( target @ museum_api )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(69,plain,
( ( position @ l )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(70,plain,
( ( position @ n )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(71,plain,
( ( position @ im )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(72,plain,
( ( position @ db )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(73,plain,
( ( legal_relator @ rho1 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(74,plain,
( ( odrl_rel @ rho1 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(75,plain,
( ( permission @ l )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(76,plain,
( ( no_right @ n )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(77,plain,
( ( immunity @ im )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(78,plain,
( ( disability @ db )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(79,plain,
( ( bearer @ l @ bibliothek )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(80,plain,
( ( bearer @ n @ museen )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(81,plain,
( ( bearer @ im @ bibliothek )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(82,plain,
( ( bearer @ db @ museen )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(83,plain,
( ( cnt @ l @ read @ museum_api )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(84,plain,
( ( cnt @ n @ read @ museum_api )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(85,plain,
( ( cnt @ im @ read @ museum_api )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(86,plain,
( ( cnt @ db @ read @ museum_api )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(87,plain,
( ( rule @ f2 )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(88,plain,
( ( proh @ f2 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(89,plain,
( ( aee @ f2 @ bibliothek )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(90,plain,
( ( aer @ f2 @ museen )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(91,plain,
( ( act @ f2 @ read )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(92,plain,
( ( tgt @ f2 @ museum_api )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(93,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[62]) ).
thf(94,plain,
! [SV1: $i] :
( ( ! [SY6: $i,SY7: $i,SY8: $i,SY9: $i] :
( ~ ( aee @ SV1 @ SY6 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SY7 )
| ~ ( act @ SV1 @ SY8 )
| ~ ( tgt @ SV1 @ SY9 )
| ! [Db: $i] :
( ~ ( bearer @ Db @ SY7 )
| ~ ( disability @ Db )
| ~ ( cnt @ Db @ SY8 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(95,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(96,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY11: $i,SY12: $i,SY13: $i] :
( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SY11 )
| ~ ( act @ SV1 @ SY12 )
| ~ ( tgt @ SV1 @ SY13 )
| ! [Db: $i] :
( ~ ( bearer @ Db @ SY11 )
| ~ ( disability @ Db )
| ~ ( cnt @ Db @ SY12 @ SY13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SV3 )
| ~ ( act @ SV1 @ SY15 )
| ~ ( tgt @ SV1 @ SY16 )
| ! [SY17: $i] :
( ~ ( bearer @ SY17 @ SV3 )
| ~ ( disability @ SY17 )
| ~ ( cnt @ SY17 @ SY15 @ SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(98,plain,
! [SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ! [SY18: $i] :
( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SV3 )
| ~ ( act @ SV1 @ SV4 )
| ~ ( tgt @ SV1 @ SY18 )
| ! [SY19: $i] :
( ~ ( bearer @ SY19 @ SV3 )
| ~ ( disability @ SY19 )
| ~ ( cnt @ SY19 @ SV4 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(99,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SV3 )
| ~ ( act @ SV1 @ SV4 )
| ~ ( tgt @ SV1 @ SV5 )
| ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(100,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SV3 )
| ~ ( act @ SV1 @ SV4 )
| ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(101,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SV3 )
| ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(102,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 )
| ~ ( aer @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(103,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( aee @ SV1 @ SV2 )
| ~ ( proh @ SV1 ) )
= $true )
| ( ( ~ ( aer @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(104,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( aee @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( proh @ SV1 ) )
= $true )
| ( ( ~ ( aer @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(105,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( ~ ( proh @ SV1 ) )
= $true )
| ( ( ~ ( aer @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(106,plain,
! [SV5: $i,SV4: $i,SV3: $i,SV2: $i,SV1: $i] :
( ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( ~ ( aer @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(107,plain,
! [SV5: $i,SV4: $i,SV2: $i,SV3: $i,SV1: $i] :
( ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( ~ ( act @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(108,plain,
! [SV5: $i,SV3: $i,SV2: $i,SV4: $i,SV1: $i] :
( ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( ~ ( tgt @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(109,plain,
! [SV4: $i,SV2: $i,SV3: $i,SV5: $i,SV1: $i] :
( ( ( tgt @ SV1 @ SV5 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( ! [SY20: $i] :
( ~ ( bearer @ SY20 @ SV3 )
| ~ ( disability @ SY20 )
| ~ ( cnt @ SY20 @ SV4 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(110,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i,SV6: $i] :
( ( ( ~ ( bearer @ SV6 @ SV3 )
| ~ ( disability @ SV6 )
| ~ ( cnt @ SV6 @ SV4 @ SV5 ) )
= $true )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( tgt @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(111,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i,SV6: $i] :
( ( ( ~ ( bearer @ SV6 @ SV3 )
| ~ ( disability @ SV6 ) )
= $true )
| ( ( ~ ( cnt @ SV6 @ SV4 @ SV5 ) )
= $true )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( tgt @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(112,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i,SV6: $i] :
( ( ( ~ ( bearer @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( disability @ SV6 ) )
= $true )
| ( ( ~ ( cnt @ SV6 @ SV4 @ SV5 ) )
= $true )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( tgt @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(113,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i,SV6: $i] :
( ( ( bearer @ SV6 @ SV3 )
= $false )
| ( ( ~ ( disability @ SV6 ) )
= $true )
| ( ( ~ ( cnt @ SV6 @ SV4 @ SV5 ) )
= $true )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( tgt @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(114,plain,
! [SV2: $i,SV1: $i,SV5: $i,SV4: $i,SV3: $i,SV6: $i] :
( ( ( disability @ SV6 )
= $false )
| ( ( bearer @ SV6 @ SV3 )
= $false )
| ( ( ~ ( cnt @ SV6 @ SV4 @ SV5 ) )
= $true )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( tgt @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(115,plain,
! [SV2: $i,SV1: $i,SV3: $i,SV5: $i,SV4: $i,SV6: $i] :
( ( ( cnt @ SV6 @ SV4 @ SV5 )
= $false )
| ( ( bearer @ SV6 @ SV3 )
= $false )
| ( ( disability @ SV6 )
= $false )
| ( ( act @ SV1 @ SV4 )
= $false )
| ( ( proh @ SV1 )
= $false )
| ( ( aee @ SV1 @ SV2 )
= $false )
| ( ( aer @ SV1 @ SV3 )
= $false )
| ( ( tgt @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(116,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[65,115,95,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66]) ).
thf(117,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT112+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 12:45:21 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24
% 0.07/0.24 No.of.Axioms: 29
% 0.07/0.24
% 0.07/0.24 Length.of.Defs: 0
% 0.07/0.24
% 0.07/0.24 Contains.Choice.Funs: false
% 0.07/0.24 ...
% 0.07/0.24
% 0.07/0.24 ********************************
% 0.07/0.24 * All subproblems solved! *
% 0.07/0.24 ********************************
% 0.07/0.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:116,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.24
% 0.07/0.24 %**** Beginning of derivation protocol ****
% 0.07/0.24 % SZS output start CNFRefutation
% See solution above
% 0.07/0.24
% 0.07/0.24 %**** End of derivation protocol ****
% 0.07/0.24 %**** no. of clauses in derivation: 117 ****
% 0.07/0.24 %**** clause counter: 116 ****
% 0.07/0.24
% 0.07/0.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:116,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------