%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:11:59 PM UTC 2026
% Result : Theorem 2.63s 0.79s
% Output : Proof 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 93 ( 18 unt; 0 def)
% Number of atoms : 282 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 310 ( 121 ~; 163 |; 25 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 106 ( 7 sgn 15 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,A,T] :
( ( ~ ? [F,E] :
( activates(E,F)
& act(F,A)
& aee(F,X)
& proh(F) )
& target(T)
& action(A)
& agent(X) )
=> ? [L] :
( cnt(L,A,T)
& bearer(L,X)
& permission(L) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_world_closure) ).
fof(f5_nnf,plain,
! [X,A,T] :
( ? [L] :
( cnt(L,A,T)
& bearer(L,X)
& permission(L) )
| ? [F,E] :
( activates(E,F)
& act(F,A)
& aee(F,X)
& proh(F) )
| ~ target(T)
| ~ action(A)
| ~ agent(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,A,T] :
( ( cnt(sk2(X,A,T),A,T)
& bearer(sk2(X,A,T),X)
& permission(sk2(X,A,T)) )
| ( activates(sk1(X,A,T),sk0(X,A,T))
& act(sk0(X,A,T),A)
& aee(sk0(X,A,T),X)
& proh(sk0(X,A,T)) )
| ~ target(T)
| ~ action(A)
| ~ agent(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f5_nnf]) ).
cnf(c16,plain,
( cnt(sk2(X0,X1,X2),X1,X2)
| activates(sk1(X0,X1,X2),sk0(X0,X1,X2))
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f0,axiom,
agent(portal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agent_portal) ).
fof(f0_nnf,plain,
agent(portal),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
agent(portal),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p108,plain,
( cnt(sk2(portal,X0,X1),X0,X1)
| activates(sk1(portal,X0,X1),sk0(portal,X0,X1))
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c16,c0]) ).
fof(f2,axiom,
action(modify_act),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',action_modify) ).
fof(f2_nnf,plain,
action(modify_act),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
action(modify_act),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(p110,plain,
( cnt(sk2(portal,modify_act,X0),modify_act,X0)
| activates(sk1(portal,modify_act,X0),sk0(portal,modify_act,X0))
| ~ target(X0) ),
inference(resolution,[status(thm)],[p108,c2]) ).
fof(f3,axiom,
target(theater_ds),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',target_theater) ).
fof(f3_nnf,plain,
target(theater_ds),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
target(theater_ds),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p111,plain,
( cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| activates(sk1(portal,modify_act,theater_ds),sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p110,c3]) ).
cnf(c14,plain,
( permission(sk2(X0,X1,X2))
| activates(sk1(X0,X1,X2),sk0(X0,X1,X2))
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p82,plain,
( permission(sk2(portal,X0,X1))
| activates(sk1(portal,X0,X1),sk0(portal,X0,X1))
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c14,c0]) ).
cnf(p84,plain,
( permission(sk2(portal,modify_act,X0))
| activates(sk1(portal,modify_act,X0),sk0(portal,modify_act,X0))
| ~ target(X0) ),
inference(resolution,[status(thm)],[p82,c2]) ).
cnf(p85,plain,
( permission(sk2(portal,modify_act,theater_ds))
| activates(sk1(portal,modify_act,theater_ds),sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p84,c3]) ).
cnf(c7,plain,
( cnt(sk2(X0,X1,X2),X1,X2)
| proh(sk0(X0,X1,X2))
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p46,plain,
( cnt(sk2(portal,X0,X1),X0,X1)
| proh(sk0(portal,X0,X1))
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(p48,plain,
( cnt(sk2(portal,modify_act,X0),modify_act,X0)
| proh(sk0(portal,modify_act,X0))
| ~ target(X0) ),
inference(resolution,[status(thm)],[p46,c2]) ).
cnf(p49,plain,
( cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p48,c3]) ).
cnf(c6,plain,
( bearer(sk2(X0,X1,X2),X0)
| proh(sk0(X0,X1,X2))
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p26,plain,
( bearer(sk2(portal,X0,X1),portal)
| proh(sk0(portal,X0,X1))
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(p28,plain,
( bearer(sk2(portal,modify_act,X0),portal)
| proh(sk0(portal,modify_act,X0))
| ~ target(X0) ),
inference(resolution,[status(thm)],[p26,c2]) ).
cnf(p29,plain,
( bearer(sk2(portal,modify_act,theater_ds),portal)
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p28,c3]) ).
cnf(c5,plain,
( permission(sk2(X0,X1,X2))
| proh(sk0(X0,X1,X2))
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p18,plain,
( permission(sk2(portal,X0,X1))
| proh(sk0(portal,X0,X1))
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(p20,plain,
( permission(sk2(portal,modify_act,X0))
| proh(sk0(portal,modify_act,X0))
| ~ target(X0) ),
inference(resolution,[status(thm)],[p18,c2]) ).
cnf(p21,plain,
( permission(sk2(portal,modify_act,theater_ds))
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p20,c3]) ).
fof(f6,conjecture,
? [L] :
( cnt(L,modify_act,theater_ds)
& bearer(L,portal)
& permission(L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f6_neg,negated_conjecture,
~ ? [L] :
( cnt(L,modify_act,theater_ds)
& bearer(L,portal)
& permission(L) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f6_nnf,plain,
! [L] :
( ~ cnt(L,modify_act,theater_ds)
| ~ bearer(L,portal)
| ~ permission(L) ),
inference(nnf_transformation,[status(thm)],[f6_neg]) ).
fof(f6_sk,plain,
! [L] :
( ~ cnt(L,modify_act,theater_ds)
| ~ bearer(L,portal)
| ~ permission(L) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c17,plain,
( ~ cnt(X0,modify_act,theater_ds)
| ~ bearer(X0,portal)
| ~ permission(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p22,plain,
( ~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| ~ bearer(sk2(portal,modify_act,theater_ds),portal)
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p21,c17]) ).
cnf(p30,plain,
( ~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| proh(sk0(portal,modify_act,theater_ds))
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p29,p22]) ).
cnf(p31,plain,
( ~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(factoring,[status(thm)],[p30]) ).
cnf(p50,plain,
( proh(sk0(portal,modify_act,theater_ds))
| proh(sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p49,p31]) ).
cnf(p51,plain,
proh(sk0(portal,modify_act,theater_ds)),
inference(factoring,[status(thm)],[p50]) ).
fof(f4,axiom,
~ ? [F,E] :
( activates(E,F)
& act(F,modify_act)
& aee(F,portal)
& proh(F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_proh_modify) ).
fof(f4_nnf,plain,
! [F,E] :
( ~ activates(E,F)
| ~ act(F,modify_act)
| ~ aee(F,portal)
| ~ proh(F) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [F,E] :
( ~ activates(E,F)
| ~ act(F,modify_act)
| ~ aee(F,portal)
| ~ proh(F) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ activates(X1,X0)
| ~ act(X0,modify_act)
| ~ aee(X0,portal)
| ~ proh(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p52,plain,
( ~ activates(X0,sk0(portal,modify_act,theater_ds))
| ~ act(sk0(portal,modify_act,theater_ds),modify_act)
| ~ aee(sk0(portal,modify_act,theater_ds),portal) ),
inference(resolution,[status(thm)],[p51,c4]) ).
cnf(c8,plain,
( permission(sk2(X0,X1,X2))
| aee(sk0(X0,X1,X2),X0)
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p34,plain,
( permission(sk2(portal,X0,X1))
| aee(sk0(portal,X0,X1),portal)
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(p36,plain,
( permission(sk2(portal,modify_act,X0))
| aee(sk0(portal,modify_act,X0),portal)
| ~ target(X0) ),
inference(resolution,[status(thm)],[p34,c2]) ).
cnf(p37,plain,
( permission(sk2(portal,modify_act,theater_ds))
| aee(sk0(portal,modify_act,theater_ds),portal) ),
inference(resolution,[status(thm)],[p36,c3]) ).
cnf(p53,plain,
( permission(sk2(portal,modify_act,theater_ds))
| ~ activates(X0,sk0(portal,modify_act,theater_ds))
| ~ act(sk0(portal,modify_act,theater_ds),modify_act) ),
inference(resolution,[status(thm)],[p52,p37]) ).
cnf(c11,plain,
( permission(sk2(X0,X1,X2))
| act(sk0(X0,X1,X2),X1)
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p40,plain,
( permission(sk2(portal,X0,X1))
| act(sk0(portal,X0,X1),X0)
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(p42,plain,
( permission(sk2(portal,modify_act,X0))
| act(sk0(portal,modify_act,X0),modify_act)
| ~ target(X0) ),
inference(resolution,[status(thm)],[p40,c2]) ).
cnf(p43,plain,
( permission(sk2(portal,modify_act,theater_ds))
| act(sk0(portal,modify_act,theater_ds),modify_act) ),
inference(resolution,[status(thm)],[p42,c3]) ).
cnf(p54,plain,
( permission(sk2(portal,modify_act,theater_ds))
| permission(sk2(portal,modify_act,theater_ds))
| ~ activates(X0,sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p53,p43]) ).
cnf(p55,plain,
( permission(sk2(portal,modify_act,theater_ds))
| ~ activates(X0,sk0(portal,modify_act,theater_ds)) ),
inference(factoring,[status(thm)],[p54]) ).
cnf(p86,plain,
( permission(sk2(portal,modify_act,theater_ds))
| permission(sk2(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p85,p55]) ).
cnf(p87,plain,
permission(sk2(portal,modify_act,theater_ds)),
inference(factoring,[status(thm)],[p86]) ).
cnf(p88,plain,
( ~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| ~ bearer(sk2(portal,modify_act,theater_ds),portal) ),
inference(resolution,[status(thm)],[p87,c17]) ).
cnf(c12,plain,
( bearer(sk2(X0,X1,X2),X0)
| act(sk0(X0,X1,X2),X1)
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p64,plain,
( bearer(sk2(portal,X0,X1),portal)
| act(sk0(portal,X0,X1),X0)
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(p66,plain,
( bearer(sk2(portal,modify_act,X0),portal)
| act(sk0(portal,modify_act,X0),modify_act)
| ~ target(X0) ),
inference(resolution,[status(thm)],[p64,c2]) ).
cnf(p67,plain,
( bearer(sk2(portal,modify_act,theater_ds),portal)
| act(sk0(portal,modify_act,theater_ds),modify_act) ),
inference(resolution,[status(thm)],[p66,c3]) ).
cnf(p90,plain,
( act(sk0(portal,modify_act,theater_ds),modify_act)
| ~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(resolution,[status(thm)],[p88,p67]) ).
cnf(c13,plain,
( cnt(sk2(X0,X1,X2),X1,X2)
| act(sk0(X0,X1,X2),X1)
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p76,plain,
( cnt(sk2(portal,X0,X1),X0,X1)
| act(sk0(portal,X0,X1),X0)
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c13,c0]) ).
cnf(p78,plain,
( cnt(sk2(portal,modify_act,X0),modify_act,X0)
| act(sk0(portal,modify_act,X0),modify_act)
| ~ target(X0) ),
inference(resolution,[status(thm)],[p76,c2]) ).
cnf(p79,plain,
( cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| act(sk0(portal,modify_act,theater_ds),modify_act) ),
inference(resolution,[status(thm)],[p78,c3]) ).
cnf(p95,plain,
( act(sk0(portal,modify_act,theater_ds),modify_act)
| act(sk0(portal,modify_act,theater_ds),modify_act) ),
inference(resolution,[status(thm)],[p90,p79]) ).
cnf(p96,plain,
act(sk0(portal,modify_act,theater_ds),modify_act),
inference(factoring,[status(thm)],[p95]) ).
cnf(c9,plain,
( bearer(sk2(X0,X1,X2),X0)
| aee(sk0(X0,X1,X2),X0)
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p58,plain,
( bearer(sk2(portal,X0,X1),portal)
| aee(sk0(portal,X0,X1),portal)
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(p60,plain,
( bearer(sk2(portal,modify_act,X0),portal)
| aee(sk0(portal,modify_act,X0),portal)
| ~ target(X0) ),
inference(resolution,[status(thm)],[p58,c2]) ).
cnf(p61,plain,
( bearer(sk2(portal,modify_act,theater_ds),portal)
| aee(sk0(portal,modify_act,theater_ds),portal) ),
inference(resolution,[status(thm)],[p60,c3]) ).
cnf(p89,plain,
( aee(sk0(portal,modify_act,theater_ds),portal)
| ~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(resolution,[status(thm)],[p88,p61]) ).
cnf(c10,plain,
( cnt(sk2(X0,X1,X2),X1,X2)
| aee(sk0(X0,X1,X2),X0)
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p70,plain,
( cnt(sk2(portal,X0,X1),X0,X1)
| aee(sk0(portal,X0,X1),portal)
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(p72,plain,
( cnt(sk2(portal,modify_act,X0),modify_act,X0)
| aee(sk0(portal,modify_act,X0),portal)
| ~ target(X0) ),
inference(resolution,[status(thm)],[p70,c2]) ).
cnf(p73,plain,
( cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds)
| aee(sk0(portal,modify_act,theater_ds),portal) ),
inference(resolution,[status(thm)],[p72,c3]) ).
cnf(p91,plain,
( aee(sk0(portal,modify_act,theater_ds),portal)
| aee(sk0(portal,modify_act,theater_ds),portal) ),
inference(resolution,[status(thm)],[p89,p73]) ).
cnf(p93,plain,
aee(sk0(portal,modify_act,theater_ds),portal),
inference(factoring,[status(thm)],[p91]) ).
cnf(p94,plain,
( ~ activates(X0,sk0(portal,modify_act,theater_ds))
| ~ act(sk0(portal,modify_act,theater_ds),modify_act) ),
inference(resolution,[status(thm)],[p93,p52]) ).
cnf(p97,plain,
~ activates(X0,sk0(portal,modify_act,theater_ds)),
inference(resolution,[status(thm)],[p96,p94]) ).
cnf(p112,plain,
cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds),
inference(resolution,[status(thm)],[p111,p97]) ).
cnf(c15,plain,
( bearer(sk2(X0,X1,X2),X0)
| activates(sk1(X0,X1,X2),sk0(X0,X1,X2))
| ~ target(X2)
| ~ action(X1)
| ~ agent(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p100,plain,
( bearer(sk2(portal,X0,X1),portal)
| activates(sk1(portal,X0,X1),sk0(portal,X0,X1))
| ~ target(X1)
| ~ action(X0) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(p102,plain,
( bearer(sk2(portal,modify_act,X0),portal)
| activates(sk1(portal,modify_act,X0),sk0(portal,modify_act,X0))
| ~ target(X0) ),
inference(resolution,[status(thm)],[p100,c2]) ).
cnf(p103,plain,
( bearer(sk2(portal,modify_act,theater_ds),portal)
| activates(sk1(portal,modify_act,theater_ds),sk0(portal,modify_act,theater_ds)) ),
inference(resolution,[status(thm)],[p102,c3]) ).
cnf(p104,plain,
bearer(sk2(portal,modify_act,theater_ds),portal),
inference(resolution,[status(thm)],[p103,p97]) ).
cnf(p105,plain,
~ cnt(sk2(portal,modify_act,theater_ds),modify_act,theater_ds),
inference(resolution,[status(thm)],[p104,p88]) ).
cnf(p113,plain,
$false,
inference(resolution,[status(thm)],[p112,p105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 01:20:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.63/0.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.63/0.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------