%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR014+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 : Sat Jun 21 05:01:13 AM UTC 2025
% Result : Theorem 0.21s 0.38s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR014+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 12:28:41 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.21/0.38 % SZS status Theorem
% 0.21/0.38 % SZS output start Proof
% 0.21/0.38 tff(waterLevel_type, type, (
% 0.21/0.38 waterLevel: $i > $i)).
% 0.21/0.38 tff(tptp_fun_Height_10_type, type, (
% 0.21/0.38 tptp_fun_Height_10: ( $i * $i ) > $i)).
% 0.21/0.38 tff(tptp_fun_Event_7_type, type, (
% 0.21/0.38 tptp_fun_Event_7: ( $i * $i ) > $i)).
% 0.21/0.38 tff(filling_type, type, (
% 0.21/0.38 filling: $i)).
% 0.21/0.38 tff(n2_type, type, (
% 0.21/0.38 n2: $i)).
% 0.21/0.38 tff(tapOn_type, type, (
% 0.21/0.38 tapOn: $i)).
% 0.21/0.38 tff(releases_type, type, (
% 0.21/0.38 releases: ( $i * $i * $i ) > $o)).
% 0.21/0.38 tff(happens_type, type, (
% 0.21/0.38 happens: ( $i * $i ) > $o)).
% 0.21/0.38 tff(releasedAt_type, type, (
% 0.21/0.38 releasedAt: ( $i * $i ) > $o)).
% 0.21/0.38 tff(plus_type, type, (
% 0.21/0.38 plus: ( $i * $i ) > $i)).
% 0.21/0.38 tff(n1_type, type, (
% 0.21/0.38 n1: $i)).
% 0.21/0.38 tff(n0_type, type, (
% 0.21/0.38 n0: $i)).
% 0.21/0.38 tff(n3_type, type, (
% 0.21/0.38 n3: $i)).
% 0.21/0.38 tff(1,plain,
% 0.21/0.38 (^[Event: $i, Fluent: $i, Time: $i] : refl((~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))))),
% 0.21/0.38 inference(bind,[status(th)],[])).
% 0.21/0.38 tff(2,plain,
% 0.21/0.38 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 0.21/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.38 tff(3,plain,
% 0.21/0.38 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))))),
% 0.21/0.38 inference(bind,[status(th)],[])).
% 0.21/0.38 tff(4,plain,
% 0.21/0.38 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 0.21/0.38 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.38 tff(5,plain,
% 0.21/0.38 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 0.21/0.38 inference(transitivity,[status(thm)],[4, 2])).
% 0.21/0.38 tff(6,plain,
% 0.21/0.38 (^[Event: $i, Fluent: $i, Time: $i] : trans(monotonicity(rewrite(((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) <=> ((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))), rewrite((releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height))))) <=> (releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))), ((((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height)))))) <=> (((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))))) & (releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))), rewrite((((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))))) & (releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))), ((((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height)))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(7,plain,
% 0.21/0.39 (![Event: $i, Fluent: $i, Time: $i] : (((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height)))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[6])).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 (![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(9,axiom,(![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','releases_all_defn')).
% 0.21/0.39 tff(10,plain,
% 0.21/0.39 (![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.21/0.39 tff(11,plain,(
% 0.21/0.39 ![Event: $i, Fluent: $i, Time: $i] : (((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height))))))),
% 0.21/0.39 inference(skolemize,[status(sab)],[10])).
% 0.21/0.39 tff(12,plain,
% 0.21/0.39 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.21/0.39 tff(13,plain,
% 0.21/0.39 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.21/0.39 tff(14,plain,
% 0.21/0.39 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(15,plain,
% 0.21/0.39 ((~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(16,plain,
% 0.21/0.39 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[15])).
% 0.21/0.39 tff(17,plain,
% 0.21/0.39 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))))),
% 0.21/0.39 inference(transitivity,[status(thm)],[16, 14])).
% 0.21/0.39 tff(18,plain,
% 0.21/0.39 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(19,plain,
% 0.21/0.39 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[19, 13])).
% 0.21/0.39 tff(21,plain,
% 0.21/0.39 (((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))) | ((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(22,plain,
% 0.21/0.39 ((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.21/0.39 tff(23,plain,
% 0.21/0.39 ((plus(n1, n1) = n2) <=> (plus(n1, n1) = n2)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(24,axiom,(plus(n1, n1) = n2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_1')).
% 0.21/0.39 tff(25,plain,
% 0.21/0.39 (plus(n1, n1) = n2),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.39 tff(26,plain,
% 0.21/0.39 (releasedAt(filling, plus(n1, n1)) <=> releasedAt(filling, n2)),
% 0.21/0.39 inference(monotonicity,[status(thm)],[25])).
% 0.21/0.39 tff(27,plain,
% 0.21/0.39 (releasedAt(filling, n2) <=> releasedAt(filling, plus(n1, n1))),
% 0.21/0.40 inference(symmetry,[status(thm)],[26])).
% 0.21/0.40 tff(28,assumption,(releasedAt(filling, n2)), introduced(assumption)).
% 0.21/0.40 tff(29,plain,
% 0.21/0.40 (releasedAt(filling, plus(n1, n1))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.21/0.40 tff(30,assumption,((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn)))))), introduced(assumption)).
% 0.21/0.40 tff(31,plain,
% 0.21/0.40 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn)))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(32,plain,
% 0.21/0.40 ((~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn)))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(33,plain,
% 0.21/0.40 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[32])).
% 0.21/0.40 tff(34,plain,
% 0.21/0.40 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))))))),
% 0.21/0.40 inference(transitivity,[status(thm)],[33, 31])).
% 0.21/0.40 tff(35,plain,
% 0.21/0.40 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(36,plain,
% 0.21/0.40 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn)))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.21/0.40 tff(37,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[36, 13, 30])).
% 0.21/0.40 tff(38,plain,(~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(39,plain,
% 0.21/0.40 (((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn)))))) | ((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(40,plain,
% 0.21/0.40 ((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.21/0.40 tff(41,assumption,(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))), introduced(assumption)).
% 0.21/0.40 tff(42,plain,
% 0.21/0.40 (^[X: $i] : refl((~(filling = waterLevel(X))) <=> (~(filling = waterLevel(X))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(43,plain,
% 0.21/0.40 (![X: $i] : (~(filling = waterLevel(X))) <=> ![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[42])).
% 0.21/0.40 tff(44,plain,
% 0.21/0.40 (![X: $i] : (~(filling = waterLevel(X))) <=> ![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(45,axiom,(![X: $i] : (~(filling = waterLevel(X)))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','filling_not_waterLevel')).
% 0.21/0.40 tff(46,plain,
% 0.21/0.40 (![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.21/0.40 tff(47,plain,(
% 0.21/0.40 ![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.40 inference(skolemize,[status(sab)],[46])).
% 0.21/0.40 tff(48,plain,
% 0.21/0.40 (![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.21/0.40 tff(49,plain,
% 0.21/0.40 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(50,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[49, 48, 41])).
% 0.21/0.40 tff(51,plain,(~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(52,plain,
% 0.21/0.40 (((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))) | (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(53,plain,
% 0.21/0.40 ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.21/0.40 tff(54,plain,
% 0.21/0.40 ((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(55,plain,
% 0.21/0.40 ((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.21/0.40 tff(56,plain,
% 0.21/0.40 (~releases(tptp_fun_Event_7(n1, filling), filling, n1)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[55, 40])).
% 0.21/0.40 tff(57,plain,
% 0.21/0.40 (((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))) | releases(tptp_fun_Event_7(n1, filling), filling, n1)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(58,plain,
% 0.21/0.40 ((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.21/0.40 tff(59,plain,
% 0.21/0.40 ((plus(n0, n1) = n1) <=> (plus(n0, n1) = n1)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(60,axiom,(plus(n0, n1) = n1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus0_1')).
% 0.21/0.40 tff(61,plain,
% 0.21/0.40 (plus(n0, n1) = n1),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.21/0.40 tff(62,plain,
% 0.21/0.40 (releasedAt(filling, plus(n0, n1)) <=> releasedAt(filling, n1)),
% 0.21/0.40 inference(monotonicity,[status(thm)],[61])).
% 0.21/0.40 tff(63,plain,
% 0.21/0.40 (releasedAt(filling, n1) <=> releasedAt(filling, plus(n0, n1))),
% 0.21/0.40 inference(symmetry,[status(thm)],[62])).
% 0.21/0.40 tff(64,assumption,(releasedAt(filling, n1)), introduced(assumption)).
% 0.21/0.40 tff(65,plain,
% 0.21/0.40 (releasedAt(filling, plus(n0, n1))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.21/0.40 tff(66,assumption,((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))), introduced(assumption)).
% 0.21/0.40 tff(67,plain,
% 0.21/0.40 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(68,plain,
% 0.21/0.40 ((~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(69,plain,
% 0.21/0.40 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[68])).
% 0.21/0.40 tff(70,plain,
% 0.21/0.40 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[69, 67])).
% 0.21/0.41 tff(71,plain,
% 0.21/0.41 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(72,plain,
% 0.21/0.41 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.21/0.41 tff(73,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[72, 13, 66])).
% 0.21/0.41 tff(74,plain,(~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(75,plain,
% 0.21/0.41 (((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))) | ((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(76,plain,
% 0.21/0.41 ((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.21/0.41 tff(77,assumption,(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))), introduced(assumption)).
% 0.21/0.41 tff(78,plain,
% 0.21/0.41 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(79,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[78, 48, 77])).
% 0.21/0.41 tff(80,plain,(~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(81,plain,
% 0.21/0.41 (((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))) | (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(82,plain,
% 0.21/0.41 ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[81, 80])).
% 0.21/0.41 tff(83,plain,
% 0.21/0.41 ((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(84,plain,
% 0.21/0.41 ((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.21/0.41 tff(85,plain,
% 0.21/0.41 (~releases(tptp_fun_Event_7(n0, filling), filling, n0)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[84, 76])).
% 0.21/0.41 tff(86,plain,
% 0.21/0.41 (((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))) | releases(tptp_fun_Event_7(n0, filling), filling, n0)),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(87,plain,
% 0.21/0.41 ((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.21/0.41 tff(88,plain,
% 0.21/0.41 ((~releasedAt(filling, n0)) <=> (~releasedAt(filling, n0))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(89,axiom,(~releasedAt(filling, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_released_filling_0')).
% 0.21/0.41 tff(90,plain,
% 0.21/0.41 (~releasedAt(filling, n0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.21/0.41 tff(91,plain,
% 0.21/0.41 (^[Fluent: $i, Time: $i] : refl(((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(92,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[91])).
% 0.21/0.41 tff(93,plain,
% 0.21/0.41 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite((happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)) <=> (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))), (((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))))), rewrite(((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))), (((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(94,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[93])).
% 0.21/0.41 tff(95,plain,
% 0.21/0.41 (^[Fluent: $i, Time: $i] : rewrite(((~releasedAt(Fluent, plus(Time, n1))) | (releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(96,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[95])).
% 0.21/0.41 tff(97,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(98,plain,
% 0.21/0.41 (^[Fluent: $i, Time: $i] : trans(monotonicity(monotonicity(rewrite((~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))) <=> (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))), (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) <=> ((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))))), ((((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))))), rewrite((((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))), ((((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(99,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[98])).
% 0.21/0.41 tff(100,axiom,(![Fluent: $i, Time: $i] : (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax','keep_not_released')).
% 0.21/0.41 tff(101,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.21/0.41 tff(102,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.21/0.41 tff(103,plain,(
% 0.21/0.41 ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))),
% 0.21/0.41 inference(skolemize,[status(sab)],[102])).
% 0.21/0.41 tff(104,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[103, 96])).
% 0.21/0.41 tff(105,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[104, 94])).
% 0.21/0.41 tff(106,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[105, 92])).
% 0.21/0.41 tff(107,plain,
% 0.21/0.41 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(108,plain,
% 0.21/0.41 (((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))) <=> (releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(109,plain,
% 0.21/0.41 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[108])).
% 0.21/0.42 tff(110,plain,
% 0.21/0.42 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[109, 107])).
% 0.21/0.42 tff(111,plain,
% 0.21/0.42 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(112,plain,
% 0.21/0.42 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.21/0.42 tff(113,plain,
% 0.21/0.42 (~releasedAt(filling, plus(n0, n1))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[112, 106, 90, 87])).
% 0.21/0.42 tff(114,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[113, 65])).
% 0.21/0.42 tff(115,plain,(~releasedAt(filling, n1)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(116,plain,
% 0.21/0.42 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(117,plain,
% 0.21/0.42 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(118,plain,
% 0.21/0.42 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.21/0.42 tff(119,plain,
% 0.21/0.42 (~releasedAt(filling, plus(n1, n1))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[118, 106, 115, 58])).
% 0.21/0.42 tff(120,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[119, 29])).
% 0.21/0.42 tff(121,plain,(~releasedAt(filling, n2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(122,plain,
% 0.21/0.42 ((plus(n1, n2) = n3) <=> (plus(n1, n2) = n3)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(123,axiom,(plus(n1, n2) = n3), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_2')).
% 0.21/0.42 tff(124,plain,
% 0.21/0.42 (plus(n1, n2) = n3),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.21/0.42 tff(125,plain,
% 0.21/0.42 (^[X: $i, Y: $i] : refl((plus(X, Y) = plus(Y, X)) <=> (plus(X, Y) = plus(Y, X)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(126,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[125])).
% 0.21/0.42 tff(127,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(128,axiom,(![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','symmetry_of_plus')).
% 0.21/0.42 tff(129,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.21/0.42 tff(130,plain,(
% 0.21/0.42 ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.42 inference(skolemize,[status(sab)],[129])).
% 0.21/0.42 tff(131,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.21/0.42 tff(132,plain,
% 0.21/0.42 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, n2) = plus(n2, n1))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(133,plain,
% 0.21/0.42 (plus(n1, n2) = plus(n2, n1)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.21/0.42 tff(134,plain,
% 0.21/0.42 (plus(n2, n1) = plus(n1, n2)),
% 0.21/0.42 inference(symmetry,[status(thm)],[133])).
% 0.21/0.42 tff(135,plain,
% 0.21/0.42 (plus(n2, n1) = n3),
% 0.21/0.42 inference(transitivity,[status(thm)],[134, 124])).
% 0.21/0.42 tff(136,plain,
% 0.21/0.42 (releasedAt(filling, plus(n2, n1)) <=> releasedAt(filling, n3)),
% 0.21/0.42 inference(monotonicity,[status(thm)],[135])).
% 0.21/0.42 tff(137,plain,
% 0.21/0.42 (releasedAt(filling, n3) <=> releasedAt(filling, plus(n2, n1))),
% 0.21/0.42 inference(symmetry,[status(thm)],[136])).
% 0.21/0.42 tff(138,plain,
% 0.21/0.42 (releasedAt(filling, n3) <=> releasedAt(filling, n3)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(139,plain,
% 0.21/0.42 ((~(~releasedAt(filling, n3))) <=> releasedAt(filling, n3)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(140,axiom,(~(~releasedAt(filling, n3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','filling_3_l1')).
% 0.21/0.42 tff(141,plain,
% 0.21/0.42 (releasedAt(filling, n3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.21/0.42 tff(142,plain,
% 0.21/0.42 (releasedAt(filling, n3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[141, 138])).
% 0.21/0.42 tff(143,plain,
% 0.21/0.42 (releasedAt(filling, plus(n2, n1))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[142, 137])).
% 0.21/0.42 tff(144,plain,
% 0.21/0.42 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(145,plain,
% 0.21/0.43 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(146,plain,
% 0.21/0.43 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.21/0.43 tff(147,plain,
% 0.21/0.43 ((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[146, 106])).
% 0.21/0.43 tff(148,plain,
% 0.21/0.43 (releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[147, 143])).
% 0.21/0.43 tff(149,plain,
% 0.21/0.43 (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[148, 121])).
% 0.21/0.43 tff(150,plain,
% 0.21/0.43 (((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))) | releases(tptp_fun_Event_7(n2, filling), filling, n2)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(151,plain,
% 0.21/0.43 (releases(tptp_fun_Event_7(n2, filling), filling, n2)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.21/0.43 tff(152,plain,
% 0.21/0.43 ((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(153,plain,
% 0.21/0.43 ((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[152, 151])).
% 0.21/0.43 tff(154,plain,
% 0.21/0.43 (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[153, 22])).
% 0.21/0.43 tff(155,plain,
% 0.21/0.43 (((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))) | (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(156,plain,
% 0.21/0.43 (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.21/0.43 tff(157,plain,
% 0.21/0.43 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(158,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[157, 48, 156])).
% 0.21/0.43 % SZS output end Proof
% 0.21/0.43 % E exiting
%------------------------------------------------------------------------------