%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:03:08 AM UTC 2026
% Result : Theorem 0.15s 5.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 87 ( 11 unt; 0 def)
% Number of atoms : 351 ( 0 equ)
% Maximal formula atoms : 60 ( 4 avg)
% Number of connectives : 409 ( 145 ~; 227 |; 36 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 139 ( 10 sgn 45 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(no_proh_modify,axiom,
~ ? [F,E] :
( activates(E,F)
& act(F,modify_act)
& aee(F,portal)
& proh(F) ),
file('theBenchmark.p',no_proh_modify) ).
fof(open_world_closure,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('theBenchmark.p',open_world_closure) ).
fof(conjecture,conjecture,
? [L] :
( cnt(L,modify_act,theater_ds)
& bearer(L,portal)
& permission(L) ),
file('theBenchmark.p',conjecture) ).
fof(conjecture_neg,negated_conjecture,
~ ? [L] :
( cnt(L,modify_act,theater_ds)
& bearer(L,portal)
& permission(L) ),
inference(assume_negation,[status(cth)],[conjecture]) ).
fof(nnf_2,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(fof_nnf,[status(thm)],[open_world_closure]) ).
fof(sk_open_world_closure_sk,plain,
! [X,A,T] :
( ( cnt(sK1(X,A,T),A,T)
& bearer(sK1(X,A,T),X)
& permission(sK1(X,A,T)) )
| ( activates(sK2(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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK2,sK1]),skolemize(F,sK0(X,A,T)),skolemize(E,sK2(X,A,T)),skolemize(L,sK1(X,A,T))],[nnf_2]) ).
fof(sk_open_world_closure,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( cnt(sK1(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2)
| activates(sK2(VAR_0,VAR_1,VAR_2),sK0(VAR_0,VAR_1,VAR_2))
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( bearer(sK1(VAR_0,VAR_1,VAR_2),VAR_0)
| activates(sK2(VAR_0,VAR_1,VAR_2),sK0(VAR_0,VAR_1,VAR_2))
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( permission(sK1(VAR_0,VAR_1,VAR_2))
| activates(sK2(VAR_0,VAR_1,VAR_2),sK0(VAR_0,VAR_1,VAR_2))
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( cnt(sK1(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2)
| act(sK0(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( bearer(sK1(VAR_0,VAR_1,VAR_2),VAR_0)
| act(sK0(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( permission(sK1(VAR_0,VAR_1,VAR_2))
| act(sK0(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( cnt(sK1(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2)
| aee(sK0(VAR_0,VAR_1,VAR_2),VAR_0)
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( bearer(sK1(VAR_0,VAR_1,VAR_2),VAR_0)
| aee(sK0(VAR_0,VAR_1,VAR_2),VAR_0)
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( permission(sK1(VAR_0,VAR_1,VAR_2))
| aee(sK0(VAR_0,VAR_1,VAR_2),VAR_0)
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( cnt(sK1(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2)
| proh(sK0(VAR_0,VAR_1,VAR_2))
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( bearer(sK1(VAR_0,VAR_1,VAR_2),VAR_0)
| proh(sK0(VAR_0,VAR_1,VAR_2))
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( permission(sK1(VAR_0,VAR_1,VAR_2))
| proh(sK0(VAR_0,VAR_1,VAR_2))
| ~ target(VAR_2)
| ~ action(VAR_1)
| ~ agent(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_open_world_closure_sk]) ).
cnf(c_4,plain,
( permission(sK1(A,B,C))
| proh(sK0(A,B,C))
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
fof(action_modify,axiom,
action(modify_act),
file('theBenchmark.p',action_modify) ).
cnf(c_5,plain,
action(modify_act),
inference(clausify,[status(thm)],[action_modify]) ).
cnf(c_6,plain,
( bearer(sK1(A,B,C),A)
| proh(sK0(A,B,C))
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_7,plain,
( cnt(sK1(A,B,C),B,C)
| proh(sK0(A,B,C))
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_8,plain,
( permission(sK1(A,B,C))
| aee(sK0(A,B,C),A)
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_9,plain,
( bearer(sK1(A,B,C),A)
| aee(sK0(A,B,C),A)
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_10,plain,
( cnt(sK1(A,B,C),B,C)
| aee(sK0(A,B,C),A)
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_11,plain,
( permission(sK1(A,B,C))
| act(sK0(A,B,C),B)
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_12,plain,
( bearer(sK1(A,B,C),A)
| act(sK0(A,B,C),B)
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_13,plain,
( cnt(sK1(A,B,C),B,C)
| act(sK0(A,B,C),B)
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_14,plain,
( permission(sK1(A,B,C))
| activates(sK2(A,B,C),sK0(A,B,C))
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_15,plain,
( bearer(sK1(A,B,C),A)
| activates(sK2(A,B,C),sK0(A,B,C))
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_16,plain,
( cnt(sK1(A,B,C),B,C)
| activates(sK2(A,B,C),sK0(A,B,C))
| ~ target(C)
| ~ action(B)
| ~ agent(A) ),
inference(split_conjunct,[status(thm)],[sk_open_world_closure]) ).
cnf(c_18,plain,
( permission(sK1(A,modify_act,B))
| proh(sK0(A,modify_act,B))
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_4,c_5]) ).
cnf(c_19,plain,
( bearer(sK1(A,modify_act,B),A)
| proh(sK0(A,modify_act,B))
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_20,plain,
( cnt(sK1(A,modify_act,B),modify_act,B)
| proh(sK0(A,modify_act,B))
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_21,plain,
( permission(sK1(A,modify_act,B))
| aee(sK0(A,modify_act,B),A)
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_22,plain,
( bearer(sK1(A,modify_act,B),A)
| aee(sK0(A,modify_act,B),A)
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_9,c_5]) ).
cnf(c_23,plain,
( cnt(sK1(A,modify_act,B),modify_act,B)
| aee(sK0(A,modify_act,B),A)
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_10,c_5]) ).
cnf(c_24,plain,
( permission(sK1(A,modify_act,B))
| act(sK0(A,modify_act,B),modify_act)
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_11,c_5]) ).
cnf(c_25,plain,
( bearer(sK1(A,modify_act,B),A)
| act(sK0(A,modify_act,B),modify_act)
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_26,plain,
( cnt(sK1(A,modify_act,B),modify_act,B)
| act(sK0(A,modify_act,B),modify_act)
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_13,c_5]) ).
cnf(c_27,plain,
( permission(sK1(A,modify_act,B))
| activates(sK2(A,modify_act,B),sK0(A,modify_act,B))
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_14,c_5]) ).
cnf(c_28,plain,
( bearer(sK1(A,modify_act,B),A)
| activates(sK2(A,modify_act,B),sK0(A,modify_act,B))
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_15,c_5]) ).
cnf(c_29,plain,
( cnt(sK1(A,modify_act,B),modify_act,B)
| activates(sK2(A,modify_act,B),sK0(A,modify_act,B))
| ~ target(B)
| ~ agent(A) ),
inference(resolve,[status(thm)],[c_16,c_5]) ).
fof(agent_portal,axiom,
agent(portal),
file('theBenchmark.p',agent_portal) ).
cnf(c_30,plain,
agent(portal),
inference(clausify,[status(thm)],[agent_portal]) ).
fof(target_theater,axiom,
target(theater_ds),
file('theBenchmark.p',target_theater) ).
cnf(c_31,plain,
target(theater_ds),
inference(clausify,[status(thm)],[target_theater]) ).
cnf(c_44,plain,
( permission(sK1(portal,modify_act,A))
| proh(sK0(portal,modify_act,A))
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_18]) ).
cnf(c_45,plain,
( bearer(sK1(portal,modify_act,A),portal)
| proh(sK0(portal,modify_act,A))
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_19]) ).
cnf(c_46,plain,
( cnt(sK1(portal,modify_act,A),modify_act,A)
| proh(sK0(portal,modify_act,A))
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_20]) ).
cnf(c_47,plain,
( permission(sK1(portal,modify_act,A))
| aee(sK0(portal,modify_act,A),portal)
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_21]) ).
cnf(c_48,plain,
( bearer(sK1(portal,modify_act,A),portal)
| aee(sK0(portal,modify_act,A),portal)
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_22]) ).
cnf(c_49,plain,
( cnt(sK1(portal,modify_act,A),modify_act,A)
| aee(sK0(portal,modify_act,A),portal)
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_23]) ).
cnf(c_50,plain,
( permission(sK1(portal,modify_act,A))
| act(sK0(portal,modify_act,A),modify_act)
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_24]) ).
cnf(c_51,plain,
( bearer(sK1(portal,modify_act,A),portal)
| act(sK0(portal,modify_act,A),modify_act)
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_25]) ).
cnf(c_52,plain,
( cnt(sK1(portal,modify_act,A),modify_act,A)
| act(sK0(portal,modify_act,A),modify_act)
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_26]) ).
cnf(c_53,plain,
( permission(sK1(portal,modify_act,A))
| activates(sK2(portal,modify_act,A),sK0(portal,modify_act,A))
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_27]) ).
cnf(c_54,plain,
( bearer(sK1(portal,modify_act,A),portal)
| activates(sK2(portal,modify_act,A),sK0(portal,modify_act,A))
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_28]) ).
cnf(c_55,plain,
( cnt(sK1(portal,modify_act,A),modify_act,A)
| activates(sK2(portal,modify_act,A),sK0(portal,modify_act,A))
| ~ target(A) ),
inference(resolve,[status(thm)],[c_30,c_29]) ).
cnf(c_56,plain,
( ~ activates(B,A)
| ~ act(A,modify_act)
| ~ aee(A,portal)
| ~ proh(A) ),
inference(clausify,[status(thm)],[no_proh_modify]) ).
cnf(c_60,plain,
( permission(sK1(portal,modify_act,theater_ds))
| proh(sK0(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_31,c_44]) ).
cnf(c_61,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| proh(sK0(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_31,c_45]) ).
cnf(c_62,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| proh(sK0(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_31,c_46]) ).
cnf(c_67,plain,
( permission(sK1(portal,modify_act,theater_ds))
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| ~ act(sK0(portal,modify_act,theater_ds),modify_act)
| ~ aee(sK0(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_56,c_60]) ).
cnf(c_68,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| ~ act(sK0(portal,modify_act,theater_ds),modify_act)
| ~ aee(sK0(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_56,c_61]) ).
cnf(c_69,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| ~ act(sK0(portal,modify_act,theater_ds),modify_act)
| ~ aee(sK0(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_56,c_62]) ).
cnf(c_72,plain,
( permission(sK1(portal,modify_act,theater_ds))
| aee(sK0(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_31,c_47]) ).
cnf(c_73,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| aee(sK0(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_31,c_48]) ).
cnf(c_74,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| aee(sK0(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_31,c_49]) ).
cnf(c_75,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| act(sK0(portal,modify_act,theater_ds),modify_act) ),
inference(resolve,[status(thm)],[c_31,c_52]) ).
cnf(c_76,plain,
( permission(sK1(portal,modify_act,theater_ds))
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| ~ act(sK0(portal,modify_act,theater_ds),modify_act)
| permission(sK1(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_72,c_67]) ).
cnf(c_77,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| ~ act(sK0(portal,modify_act,theater_ds),modify_act)
| bearer(sK1(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_73,c_68]) ).
cnf(c_78,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| ~ act(sK0(portal,modify_act,theater_ds),modify_act)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(resolve,[status(thm)],[c_74,c_69]) ).
cnf(c_79,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| act(sK0(portal,modify_act,theater_ds),modify_act) ),
inference(resolve,[status(thm)],[c_31,c_51]) ).
cnf(c_80,plain,
( permission(sK1(portal,modify_act,theater_ds))
| act(sK0(portal,modify_act,theater_ds),modify_act) ),
inference(resolve,[status(thm)],[c_31,c_50]) ).
cnf(c_87,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(resolve,[status(thm)],[c_75,c_78]) ).
cnf(c_89,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_79,c_77]) ).
cnf(c_90,plain,
( permission(sK1(portal,modify_act,theater_ds))
| ~ activates(A,sK0(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_80,c_76]) ).
cnf(c_93,plain,
( permission(sK1(portal,modify_act,theater_ds))
| activates(sK2(portal,modify_act,theater_ds),sK0(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_31,c_53]) ).
cnf(c_94,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| activates(sK2(portal,modify_act,theater_ds),sK0(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_31,c_54]) ).
cnf(c_95,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| activates(sK2(portal,modify_act,theater_ds),sK0(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_31,c_55]) ).
cnf(c_96,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(resolve,[status(thm)],[c_95,c_87]) ).
cnf(c_107,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(copy,[status(thm)],[c_96]) ).
cnf(c_108,plain,
( cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds)
| cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds) ),
inference(copy,[status(thm)],[c_107]) ).
cnf(c_97,plain,
cnt(sK1(portal,modify_act,theater_ds),modify_act,theater_ds),
inference(copy,[status(thm)],[c_108]) ).
cnf(c_98,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal) ),
inference(resolve,[status(thm)],[c_94,c_89]) ).
cnf(c_109,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal) ),
inference(copy,[status(thm)],[c_98]) ).
cnf(c_110,plain,
( bearer(sK1(portal,modify_act,theater_ds),portal)
| bearer(sK1(portal,modify_act,theater_ds),portal) ),
inference(copy,[status(thm)],[c_109]) ).
cnf(c_99,plain,
bearer(sK1(portal,modify_act,theater_ds),portal),
inference(copy,[status(thm)],[c_110]) ).
cnf(c_101,plain,
( permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_93,c_90]) ).
cnf(c_111,plain,
( permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds)) ),
inference(copy,[status(thm)],[c_101]) ).
cnf(c_112,plain,
( permission(sK1(portal,modify_act,theater_ds))
| permission(sK1(portal,modify_act,theater_ds)) ),
inference(copy,[status(thm)],[c_111]) ).
cnf(c_102,plain,
permission(sK1(portal,modify_act,theater_ds)),
inference(copy,[status(thm)],[c_112]) ).
cnf(c_105,negated_conjecture,
( ~ cnt(A,modify_act,theater_ds)
| ~ bearer(A,portal)
| ~ permission(A) ),
inference(clausify,[status(thm)],[conjecture_neg]) ).
cnf(c_113,negated_conjecture,
( ~ bearer(sK1(portal,modify_act,theater_ds),portal)
| ~ permission(sK1(portal,modify_act,theater_ds)) ),
inference(resolve,[status(thm)],[c_105,c_97]) ).
cnf(c_114,negated_conjecture,
~ bearer(sK1(portal,modify_act,theater_ds),portal),
inference(resolve,[status(thm)],[c_102,c_113]) ).
cnf(c_106,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_99,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT111+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n001.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 00:19:48 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.39 % Process 409413 was started by sandbox2 on n001,
% 0.11/5.39 % Sat Sep 26 00:19:48 2026
% 0.11/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/5.40
% 0.15/5.40 % From the command line: assign(max_seconds, 300).
% 0.15/5.41
% 0.15/5.41 % SZS status Theorem for theBenchmark
% 0.15/5.41
% 0.15/5.41 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/5.41 % Length of proof is 72.
% 0.15/5.41 % Level of proof is 10.
% 0.15/5.41 % Maximum clause weight is 9.000.
% 0.15/5.41 % Given clauses 4.
% 0.15/5.41
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------