%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT111+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.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 : Tue Sep 8 06:24:14 AM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT111+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 14:09:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(activates_type, type, (
% 0.13/0.40 activates: ( $i * $i ) > $o)).
% 0.13/0.40 tff(tptp_fun_F_1_type, type, (
% 0.13/0.40 tptp_fun_F_1: ( $i * $i ) > $i)).
% 0.13/0.40 tff(portal_type, type, (
% 0.13/0.40 portal: $i)).
% 0.13/0.40 tff(modify_act_type, type, (
% 0.13/0.40 modify_act: $i)).
% 0.13/0.40 tff(tptp_fun_E_0_type, type, (
% 0.13/0.40 tptp_fun_E_0: ( $i * $i ) > $i)).
% 0.13/0.40 tff(act_type, type, (
% 0.13/0.40 act: ( $i * $i ) > $o)).
% 0.13/0.40 tff(aee_type, type, (
% 0.13/0.40 aee: ( $i * $i ) > $o)).
% 0.13/0.40 tff(proh_type, type, (
% 0.13/0.40 proh: $i > $o)).
% 0.13/0.40 tff(cnt_type, type, (
% 0.13/0.40 cnt: ( $i * $i * $i ) > $o)).
% 0.13/0.40 tff(theater_ds_type, type, (
% 0.13/0.40 theater_ds: $i)).
% 0.13/0.40 tff(tptp_fun_L_2_type, type, (
% 0.13/0.40 tptp_fun_L_2: ( $i * $i * $i ) > $i)).
% 0.13/0.40 tff(bearer_type, type, (
% 0.13/0.40 bearer: ( $i * $i ) > $o)).
% 0.13/0.40 tff(permission_type, type, (
% 0.13/0.40 permission: $i > $o)).
% 0.13/0.40 tff(target_type, type, (
% 0.13/0.40 target: $i > $o)).
% 0.13/0.40 tff(action_type, type, (
% 0.13/0.40 action: $i > $o)).
% 0.13/0.40 tff(agent_type, type, (
% 0.13/0.40 agent: $i > $o)).
% 0.13/0.40 tff(1,assumption,(~((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))), introduced(assumption)).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 (((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))) | cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(3,plain,
% 0.13/0.40 (cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 (((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))) | bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 (bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 (((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))) | permission(tptp_fun_L_2(theater_ds, modify_act, portal))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 (permission(tptp_fun_L_2(theater_ds, modify_act, portal))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.13/0.40 tff(8,plain,
% 0.13/0.40 (^[L: $i] : refl(((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds))) <=> ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(9,plain,
% 0.13/0.40 (![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds))) <=> ![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[8])).
% 0.13/0.40 tff(10,plain,
% 0.13/0.40 (^[L: $i] : trans(monotonicity(rewrite((permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds)) <=> (~((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds))))), ((~(permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))) <=> (~(~((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds))))))), rewrite((~(~((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds))))) <=> ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))), ((~(permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))) <=> ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 (![L: $i] : (~(permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))) <=> ![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[10])).
% 0.13/0.40 tff(12,plain,
% 0.13/0.40 ((~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))) <=> (~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(13,plain,
% 0.13/0.40 ((~?[L: $i] : ((permission(L) & bearer(L, portal)) & cnt(L, modify_act, theater_ds))) <=> (~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(14,axiom,(~?[L: $i] : ((permission(L) & bearer(L, portal)) & cnt(L, modify_act, theater_ds))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conjecture')).
% 0.13/0.40 tff(15,plain,
% 0.13/0.40 (~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.13/0.40 tff(16,plain,
% 0.13/0.40 (~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.13/0.40 tff(17,plain,
% 0.13/0.40 (~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.13/0.40 tff(18,plain,
% 0.13/0.40 (~?[L: $i] : (permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.13/0.40 tff(19,plain,
% 0.13/0.40 (^[L: $i] : refl($oeq((~(permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds))), (~(permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(20,plain,(
% 0.13/0.40 ![L: $i] : (~(permission(L) & bearer(L, portal) & cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(nnf-neg,[status(sab)],[18, 19])).
% 0.13/0.40 tff(21,plain,
% 0.13/0.40 (![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[20, 11])).
% 0.13/0.40 tff(22,plain,
% 0.13/0.40 (![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[21, 9])).
% 0.13/0.40 tff(23,plain,
% 0.13/0.40 (((~![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))) | ((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))) <=> ((~![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))) | (~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(24,plain,
% 0.13/0.40 ((~![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))) | ((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(25,plain,
% 0.13/0.40 ((~![L: $i] : ((~permission(L)) | (~bearer(L, portal)) | (~cnt(L, modify_act, theater_ds)))) | (~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[25, 22, 7, 5, 3])).
% 0.13/0.40 tff(27,plain,((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 (^[X: $i, A: $i, T: $i] : refl(((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T))))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(29,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T))))) <=> ![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[28])).
% 0.13/0.41 tff(30,plain,
% 0.13/0.41 (^[X: $i, A: $i, T: $i] : trans(monotonicity(rewrite((proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) <=> (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))))), rewrite((permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T)) <=> (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T))))), (((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T))))))), rewrite(((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T))))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))), (((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(31,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> ![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[30])).
% 0.13/0.41 tff(32,plain,
% 0.13/0.41 (^[X: $i, A: $i, T: $i] : trans(monotonicity(rewrite(((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))), ((((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> (((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))))), rewrite((((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T)))), ((((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> ((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T)))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(33,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : (((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T))) <=> ![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[32])).
% 0.13/0.41 tff(34,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T))) <=> ![X: $i, A: $i, T: $i] : ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(35,plain,
% 0.13/0.41 (^[X: $i, A: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite(((agent(X) & action(A)) & target(T)) <=> (agent(X) & action(A) & target(T))), rewrite((~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F))) <=> (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F)))), ((((agent(X) & action(A)) & target(T)) & (~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F)))) <=> ((agent(X) & action(A) & target(T)) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F)))))), rewrite(((agent(X) & action(A) & target(T)) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F)))) <=> (agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))), ((((agent(X) & action(A)) & target(T)) & (~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F)))) <=> (agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F)))))), quant_intro(proof_bind(^[L: $i] : rewrite(((permission(L) & bearer(L, X)) & cnt(L, A, T)) <=> (permission(L) & bearer(L, X) & cnt(L, A, T)))), (?[L: $i] : ((permission(L) & bearer(L, X)) & cnt(L, A, T)) <=> ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))), (((((agent(X) & action(A)) & target(T)) & (~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F)))) => ?[L: $i] : ((permission(L) & bearer(L, X)) & cnt(L, A, T))) <=> ((agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F)))) => ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T))))), rewrite(((agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F)))) => ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T))) <=> ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))), (((((agent(X) & action(A)) & target(T)) & (~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F)))) => ?[L: $i] : ((permission(L) & bearer(L, X)) & cnt(L, A, T))) <=> ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(36,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((((agent(X) & action(A)) & target(T)) & (~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F)))) => ?[L: $i] : ((permission(L) & bearer(L, X)) & cnt(L, A, T))) <=> ![X: $i, A: $i, T: $i] : ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[35])).
% 0.13/0.41 tff(37,axiom,(![X: $i, A: $i, T: $i] : ((((agent(X) & action(A)) & target(T)) & (~?[F: $i, E: $i] : (((proh(F) & aee(F, X)) & act(F, A)) & activates(E, F)))) => ?[L: $i] : ((permission(L) & bearer(L, X)) & cnt(L, A, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','open_world_closure')).
% 0.13/0.41 tff(38,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.13/0.41 tff(39,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~(agent(X) & action(A) & target(T) & (~?[F: $i, E: $i] : (proh(F) & aee(F, X) & act(F, A) & activates(E, F))))) | ?[L: $i] : (permission(L) & bearer(L, X) & cnt(L, A, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.13/0.41 tff(40,plain,(
% 0.13/0.41 ![X: $i, A: $i, T: $i] : (((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X)))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T)))),
% 0.13/0.41 inference(skolemize,[status(sab)],[39])).
% 0.13/0.41 tff(41,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (proh(tptp_fun_F_1(A, X)) & aee(tptp_fun_F_1(A, X), X) & act(tptp_fun_F_1(A, X), A) & activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))) | (permission(tptp_fun_L_2(T, A, X)) & bearer(tptp_fun_L_2(T, A, X), X) & cnt(tptp_fun_L_2(T, A, X), A, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.13/0.41 tff(42,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[41, 31])).
% 0.13/0.41 tff(43,plain,
% 0.13/0.41 (![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[42, 29])).
% 0.13/0.41 tff(44,plain,
% 0.13/0.41 (target(theater_ds) <=> target(theater_ds)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(45,axiom,(target(theater_ds)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','target_theater')).
% 0.13/0.41 tff(46,plain,
% 0.13/0.41 (target(theater_ds)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.13/0.41 tff(47,plain,
% 0.13/0.41 (action(modify_act) <=> action(modify_act)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(48,axiom,(action(modify_act)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','action_modify')).
% 0.13/0.41 tff(49,plain,
% 0.13/0.41 (action(modify_act)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.13/0.41 tff(50,plain,
% 0.13/0.41 (agent(portal) <=> agent(portal)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(51,axiom,(agent(portal)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','agent_portal')).
% 0.13/0.41 tff(52,plain,
% 0.13/0.41 (agent(portal)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.13/0.41 tff(53,plain,
% 0.13/0.41 (((~![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))) | ((~agent(portal)) | (~action(modify_act)) | (~target(theater_ds)) | (~((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) | (~((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))))) <=> ((~![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))) | (~agent(portal)) | (~action(modify_act)) | (~target(theater_ds)) | (~((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) | (~((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(54,plain,
% 0.13/0.41 ((~![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))) | ((~agent(portal)) | (~action(modify_act)) | (~target(theater_ds)) | (~((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) | (~((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds)))))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(55,plain,
% 0.13/0.41 ((~![X: $i, A: $i, T: $i] : ((~agent(X)) | (~action(A)) | (~target(T)) | (~((~proh(tptp_fun_F_1(A, X))) | (~aee(tptp_fun_F_1(A, X), X)) | (~act(tptp_fun_F_1(A, X), A)) | (~activates(tptp_fun_E_0(A, X), tptp_fun_F_1(A, X))))) | (~((~permission(tptp_fun_L_2(T, A, X))) | (~bearer(tptp_fun_L_2(T, A, X), X)) | (~cnt(tptp_fun_L_2(T, A, X), A, T)))))) | (~agent(portal)) | (~action(modify_act)) | (~target(theater_ds)) | (~((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) | (~((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.13/0.41 tff(56,plain,
% 0.13/0.41 ((~((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) | (~((~permission(tptp_fun_L_2(theater_ds, modify_act, portal))) | (~bearer(tptp_fun_L_2(theater_ds, modify_act, portal), portal)) | (~cnt(tptp_fun_L_2(theater_ds, modify_act, portal), modify_act, theater_ds))))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[55, 52, 49, 46, 43])).
% 0.13/0.41 tff(57,plain,
% 0.13/0.41 (~((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[56, 27])).
% 0.13/0.41 tff(58,plain,
% 0.13/0.41 (((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))) | activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(59,plain,
% 0.13/0.41 (activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.13/0.41 tff(60,plain,
% 0.13/0.41 (((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))) | act(tptp_fun_F_1(modify_act, portal), modify_act)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(61,plain,
% 0.13/0.41 (act(tptp_fun_F_1(modify_act, portal), modify_act)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[60, 57])).
% 0.13/0.41 tff(62,plain,
% 0.13/0.41 (((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))) | aee(tptp_fun_F_1(modify_act, portal), portal)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(63,plain,
% 0.13/0.41 (aee(tptp_fun_F_1(modify_act, portal), portal)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[62, 57])).
% 0.13/0.41 tff(64,plain,
% 0.13/0.41 (((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))) | proh(tptp_fun_F_1(modify_act, portal))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(65,plain,
% 0.13/0.41 (proh(tptp_fun_F_1(modify_act, portal))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[64, 57])).
% 0.13/0.42 tff(66,plain,
% 0.13/0.42 (^[F: $i, E: $i] : refl(((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F))) <=> ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(67,plain,
% 0.13/0.42 (![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F))) <=> ![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[66])).
% 0.13/0.42 tff(68,plain,
% 0.13/0.42 (^[F: $i, E: $i] : trans(monotonicity(rewrite((proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F)) <=> (~((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F))))), ((~(proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))) <=> (~(~((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F))))))), rewrite((~(~((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F))))) <=> ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))), ((~(proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))) <=> ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(69,plain,
% 0.13/0.42 (![F: $i, E: $i] : (~(proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))) <=> ![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[68])).
% 0.13/0.42 tff(70,plain,
% 0.13/0.42 ((~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))) <=> (~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(71,plain,
% 0.13/0.42 ((~?[F: $i, E: $i] : (((proh(F) & aee(F, portal)) & act(F, modify_act)) & activates(E, F))) <=> (~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(72,axiom,(~?[F: $i, E: $i] : (((proh(F) & aee(F, portal)) & act(F, modify_act)) & activates(E, F))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','no_proh_modify')).
% 0.13/0.42 tff(73,plain,
% 0.13/0.42 (~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.13/0.42 tff(74,plain,
% 0.13/0.42 (~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[73, 70])).
% 0.13/0.42 tff(75,plain,
% 0.13/0.42 (~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.13/0.42 tff(76,plain,
% 0.13/0.42 (~?[F: $i, E: $i] : (proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[75, 70])).
% 0.13/0.42 tff(77,plain,
% 0.13/0.42 (^[F: $i, E: $i] : refl($oeq((~(proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F))), (~(proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(78,plain,(
% 0.13/0.42 ![F: $i, E: $i] : (~(proh(F) & aee(F, portal) & act(F, modify_act) & activates(E, F)))),
% 0.13/0.42 inference(nnf-neg,[status(sab)],[76, 77])).
% 0.13/0.42 tff(79,plain,
% 0.13/0.42 (![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[78, 69])).
% 0.13/0.42 tff(80,plain,
% 0.13/0.42 (![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[79, 67])).
% 0.13/0.42 tff(81,plain,
% 0.13/0.42 (((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | ((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) <=> ((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(82,plain,
% 0.13/0.42 (((~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))) <=> ((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(83,plain,
% 0.13/0.42 (((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | ((~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) <=> ((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | ((~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[82])).
% 0.13/0.42 tff(84,plain,
% 0.13/0.42 (((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | ((~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))) <=> ((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[83, 81])).
% 0.13/0.42 tff(85,plain,
% 0.13/0.42 ((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | ((~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal))))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(86,plain,
% 0.13/0.42 ((~![F: $i, E: $i] : ((~aee(F, portal)) | (~proh(F)) | (~act(F, modify_act)) | (~activates(E, F)))) | (~proh(tptp_fun_F_1(modify_act, portal))) | (~aee(tptp_fun_F_1(modify_act, portal), portal)) | (~act(tptp_fun_F_1(modify_act, portal), modify_act)) | (~activates(tptp_fun_E_0(modify_act, portal), tptp_fun_F_1(modify_act, portal)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.13/0.42 tff(87,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[86, 80, 65, 63, 61, 59])).
% 0.13/0.42 % SZS output end Proof
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------