%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT111+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:29 PM UTC 2026
% Result : Theorem 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 11 unt; 0 def)
% Number of atoms : 273 ( 0 equ)
% Maximal formula atoms : 60 ( 4 avg)
% Number of connectives : 330 ( 125 ~; 178 |; 26 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 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 : 91 ( 1 sgn 9 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(open_world_closure,axiom,
! [X3,X4,X5] :
( ( agent(X3)
& action(X4)
& target(X5)
& ~ ? [X1,X2] :
( proh(X1)
& aee(X1,X3)
& act(X1,X4)
& activates(X2,X1) ) )
=> ? [X6] :
( permission(X6)
& bearer(X6,X3)
& cnt(X6,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_world_closure) ).
fof(target_theater,axiom,
target(theater_ds),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',target_theater) ).
fof(conjecture,conjecture,
? [X6] :
( permission(X6)
& bearer(X6,portal)
& cnt(X6,modify_act,theater_ds) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
fof(action_modify,axiom,
action(modify_act),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',action_modify) ).
fof(agent_portal,axiom,
agent(portal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_portal) ).
fof(no_proh_modify,axiom,
~ ? [X1,X2] :
( proh(X1)
& aee(X1,portal)
& act(X1,modify_act)
& activates(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_proh_modify) ).
fof(c_0_6,plain,
! [X18,X19,X20] :
( ( permission(esk3_3(X18,X19,X20))
| proh(esk1_3(X18,X19,X20))
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( bearer(esk3_3(X18,X19,X20),X18)
| proh(esk1_3(X18,X19,X20))
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( cnt(esk3_3(X18,X19,X20),X19,X20)
| proh(esk1_3(X18,X19,X20))
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( permission(esk3_3(X18,X19,X20))
| aee(esk1_3(X18,X19,X20),X18)
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( bearer(esk3_3(X18,X19,X20),X18)
| aee(esk1_3(X18,X19,X20),X18)
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( cnt(esk3_3(X18,X19,X20),X19,X20)
| aee(esk1_3(X18,X19,X20),X18)
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( permission(esk3_3(X18,X19,X20))
| act(esk1_3(X18,X19,X20),X19)
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( bearer(esk3_3(X18,X19,X20),X18)
| act(esk1_3(X18,X19,X20),X19)
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( cnt(esk3_3(X18,X19,X20),X19,X20)
| act(esk1_3(X18,X19,X20),X19)
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( permission(esk3_3(X18,X19,X20))
| activates(esk2_3(X18,X19,X20),esk1_3(X18,X19,X20))
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( bearer(esk3_3(X18,X19,X20),X18)
| activates(esk2_3(X18,X19,X20),esk1_3(X18,X19,X20))
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) )
& ( cnt(esk3_3(X18,X19,X20),X19,X20)
| activates(esk2_3(X18,X19,X20),esk1_3(X18,X19,X20))
| ~ agent(X18)
| ~ action(X19)
| ~ target(X20) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[open_world_closure])])])])]) ).
cnf(c_0_7,plain,
( cnt(esk3_3(X1,X2,X3),X2,X3)
| proh(esk1_3(X1,X2,X3))
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_8,plain,
target(theater_ds),
inference(split_conjunct,[status(thm)],[target_theater]) ).
cnf(c_0_9,plain,
( permission(esk3_3(X1,X2,X3))
| proh(esk1_3(X1,X2,X3))
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( bearer(esk3_3(X1,X2,X3),X1)
| proh(esk1_3(X1,X2,X3))
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( cnt(esk3_3(X1,X2,X3),X2,X3)
| activates(esk2_3(X1,X2,X3),esk1_3(X1,X2,X3))
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,negated_conjecture,
~ ? [X6] :
( permission(X6)
& bearer(X6,portal)
& cnt(X6,modify_act,theater_ds) ),
inference(assume_negation,[status(cth)],[conjecture]) ).
cnf(c_0_13,plain,
( cnt(esk3_3(X1,X2,theater_ds),X2,theater_ds)
| proh(esk1_3(X1,X2,theater_ds))
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_14,plain,
action(modify_act),
inference(split_conjunct,[status(thm)],[action_modify]) ).
cnf(c_0_15,plain,
( permission(esk3_3(X1,X2,theater_ds))
| proh(esk1_3(X1,X2,theater_ds))
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_16,plain,
( bearer(esk3_3(X1,X2,theater_ds),X1)
| proh(esk1_3(X1,X2,theater_ds))
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_17,plain,
( cnt(esk3_3(X1,X2,X3),X2,X3)
| aee(esk1_3(X1,X2,X3),X1)
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( cnt(esk3_3(X1,X2,X3),X2,X3)
| act(esk1_3(X1,X2,X3),X2)
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( bearer(esk3_3(X1,X2,X3),X1)
| activates(esk2_3(X1,X2,X3),esk1_3(X1,X2,X3))
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( bearer(esk3_3(X1,X2,X3),X1)
| aee(esk1_3(X1,X2,X3),X1)
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( bearer(esk3_3(X1,X2,X3),X1)
| act(esk1_3(X1,X2,X3),X2)
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( permission(esk3_3(X1,X2,X3))
| activates(esk2_3(X1,X2,X3),esk1_3(X1,X2,X3))
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,plain,
( permission(esk3_3(X1,X2,X3))
| aee(esk1_3(X1,X2,X3),X1)
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,plain,
( permission(esk3_3(X1,X2,X3))
| act(esk1_3(X1,X2,X3),X2)
| ~ agent(X1)
| ~ action(X2)
| ~ target(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,plain,
( cnt(esk3_3(X1,X2,theater_ds),X2,theater_ds)
| activates(esk2_3(X1,X2,theater_ds),esk1_3(X1,X2,theater_ds))
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
fof(c_0_26,negated_conjecture,
! [X24] :
( ~ permission(X24)
| ~ bearer(X24,portal)
| ~ cnt(X24,modify_act,theater_ds) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_27,plain,
( cnt(esk3_3(X1,modify_act,theater_ds),modify_act,theater_ds)
| proh(esk1_3(X1,modify_act,theater_ds))
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_28,plain,
agent(portal),
inference(split_conjunct,[status(thm)],[agent_portal]) ).
cnf(c_0_29,plain,
( permission(esk3_3(X1,modify_act,theater_ds))
| proh(esk1_3(X1,modify_act,theater_ds))
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_30,plain,
( bearer(esk3_3(X1,modify_act,theater_ds),X1)
| proh(esk1_3(X1,modify_act,theater_ds))
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_31,plain,
( cnt(esk3_3(X1,X2,theater_ds),X2,theater_ds)
| aee(esk1_3(X1,X2,theater_ds),X1)
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_32,plain,
( cnt(esk3_3(X1,X2,theater_ds),X2,theater_ds)
| act(esk1_3(X1,X2,theater_ds),X2)
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_33,plain,
( bearer(esk3_3(X1,X2,theater_ds),X1)
| activates(esk2_3(X1,X2,theater_ds),esk1_3(X1,X2,theater_ds))
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_34,plain,
( bearer(esk3_3(X1,X2,theater_ds),X1)
| aee(esk1_3(X1,X2,theater_ds),X1)
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_8]) ).
cnf(c_0_35,plain,
( bearer(esk3_3(X1,X2,theater_ds),X1)
| act(esk1_3(X1,X2,theater_ds),X2)
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_8]) ).
cnf(c_0_36,plain,
( permission(esk3_3(X1,X2,theater_ds))
| activates(esk2_3(X1,X2,theater_ds),esk1_3(X1,X2,theater_ds))
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
cnf(c_0_37,plain,
( permission(esk3_3(X1,X2,theater_ds))
| aee(esk1_3(X1,X2,theater_ds),X1)
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_8]) ).
cnf(c_0_38,plain,
( permission(esk3_3(X1,X2,theater_ds))
| act(esk1_3(X1,X2,theater_ds),X2)
| ~ action(X2)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_8]) ).
fof(c_0_39,plain,
! [X16,X17] :
( ~ proh(X16)
| ~ aee(X16,portal)
| ~ act(X16,modify_act)
| ~ activates(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[no_proh_modify])]) ).
cnf(c_0_40,plain,
( cnt(esk3_3(X1,modify_act,theater_ds),modify_act,theater_ds)
| activates(esk2_3(X1,modify_act,theater_ds),esk1_3(X1,modify_act,theater_ds))
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_41,negated_conjecture,
( ~ permission(X1)
| ~ bearer(X1,portal)
| ~ cnt(X1,modify_act,theater_ds) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,plain,
( cnt(esk3_3(portal,modify_act,theater_ds),modify_act,theater_ds)
| proh(esk1_3(portal,modify_act,theater_ds)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_43,plain,
( permission(esk3_3(portal,modify_act,theater_ds))
| proh(esk1_3(portal,modify_act,theater_ds)) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_44,plain,
( bearer(esk3_3(portal,modify_act,theater_ds),portal)
| proh(esk1_3(portal,modify_act,theater_ds)) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_45,plain,
( cnt(esk3_3(X1,modify_act,theater_ds),modify_act,theater_ds)
| aee(esk1_3(X1,modify_act,theater_ds),X1)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_46,plain,
( cnt(esk3_3(X1,modify_act,theater_ds),modify_act,theater_ds)
| act(esk1_3(X1,modify_act,theater_ds),modify_act)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_47,plain,
( bearer(esk3_3(X1,modify_act,theater_ds),X1)
| activates(esk2_3(X1,modify_act,theater_ds),esk1_3(X1,modify_act,theater_ds))
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_14]) ).
cnf(c_0_48,plain,
( bearer(esk3_3(X1,modify_act,theater_ds),X1)
| aee(esk1_3(X1,modify_act,theater_ds),X1)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_49,plain,
( bearer(esk3_3(X1,modify_act,theater_ds),X1)
| act(esk1_3(X1,modify_act,theater_ds),modify_act)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_50,plain,
( permission(esk3_3(X1,modify_act,theater_ds))
| activates(esk2_3(X1,modify_act,theater_ds),esk1_3(X1,modify_act,theater_ds))
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_51,plain,
( permission(esk3_3(X1,modify_act,theater_ds))
| aee(esk1_3(X1,modify_act,theater_ds),X1)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_14]) ).
cnf(c_0_52,plain,
( permission(esk3_3(X1,modify_act,theater_ds))
| act(esk1_3(X1,modify_act,theater_ds),modify_act)
| ~ agent(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_14]) ).
cnf(c_0_53,plain,
( ~ proh(X1)
| ~ aee(X1,portal)
| ~ act(X1,modify_act)
| ~ activates(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_54,plain,
( cnt(esk3_3(portal,modify_act,theater_ds),modify_act,theater_ds)
| activates(esk2_3(portal,modify_act,theater_ds),esk1_3(portal,modify_act,theater_ds)) ),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
cnf(c_0_55,negated_conjecture,
proh(esk1_3(portal,modify_act,theater_ds)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_56,plain,
( cnt(esk3_3(portal,modify_act,theater_ds),modify_act,theater_ds)
| aee(esk1_3(portal,modify_act,theater_ds),portal) ),
inference(spm,[status(thm)],[c_0_45,c_0_28]) ).
cnf(c_0_57,plain,
( cnt(esk3_3(portal,modify_act,theater_ds),modify_act,theater_ds)
| act(esk1_3(portal,modify_act,theater_ds),modify_act) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_58,plain,
( bearer(esk3_3(portal,modify_act,theater_ds),portal)
| activates(esk2_3(portal,modify_act,theater_ds),esk1_3(portal,modify_act,theater_ds)) ),
inference(spm,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_59,plain,
( bearer(esk3_3(portal,modify_act,theater_ds),portal)
| aee(esk1_3(portal,modify_act,theater_ds),portal) ),
inference(spm,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_60,plain,
( bearer(esk3_3(portal,modify_act,theater_ds),portal)
| act(esk1_3(portal,modify_act,theater_ds),modify_act) ),
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_61,plain,
( permission(esk3_3(portal,modify_act,theater_ds))
| activates(esk2_3(portal,modify_act,theater_ds),esk1_3(portal,modify_act,theater_ds)) ),
inference(spm,[status(thm)],[c_0_50,c_0_28]) ).
cnf(c_0_62,plain,
( permission(esk3_3(portal,modify_act,theater_ds))
| aee(esk1_3(portal,modify_act,theater_ds),portal) ),
inference(spm,[status(thm)],[c_0_51,c_0_28]) ).
cnf(c_0_63,plain,
( permission(esk3_3(portal,modify_act,theater_ds))
| act(esk1_3(portal,modify_act,theater_ds),modify_act) ),
inference(spm,[status(thm)],[c_0_52,c_0_28]) ).
cnf(c_0_64,plain,
cnt(esk3_3(portal,modify_act,theater_ds),modify_act,theater_ds),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]),c_0_57]) ).
cnf(c_0_65,plain,
bearer(esk3_3(portal,modify_act,theater_ds),portal),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_58]),c_0_55])]),c_0_59]),c_0_60]) ).
cnf(c_0_66,plain,
permission(esk3_3(portal,modify_act,theater_ds)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_61]),c_0_55])]),c_0_62]),c_0_63]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_64]),c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT111+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n002.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:35:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Theorem for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------