TSTP Solution File: CSR014+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR014+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 14:27:01 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR014+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 16:10:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 % SZS output start Proof
% 0.21/0.42 tff(waterLevel_type, type, (
% 0.21/0.42 waterLevel: $i > $i)).
% 0.21/0.42 tff(tptp_fun_Height_10_type, type, (
% 0.21/0.42 tptp_fun_Height_10: ( $i * $i ) > $i)).
% 0.21/0.42 tff(tptp_fun_Event_7_type, type, (
% 0.21/0.42 tptp_fun_Event_7: ( $i * $i ) > $i)).
% 0.21/0.42 tff(filling_type, type, (
% 0.21/0.42 filling: $i)).
% 0.21/0.42 tff(n0_type, type, (
% 0.21/0.42 n0: $i)).
% 0.21/0.42 tff(tapOn_type, type, (
% 0.21/0.42 tapOn: $i)).
% 0.21/0.42 tff(releases_type, type, (
% 0.21/0.42 releases: ( $i * $i * $i ) > $o)).
% 0.21/0.42 tff(happens_type, type, (
% 0.21/0.42 happens: ( $i * $i ) > $o)).
% 0.21/0.42 tff(releasedAt_type, type, (
% 0.21/0.42 releasedAt: ( $i * $i ) > $o)).
% 0.21/0.42 tff(plus_type, type, (
% 0.21/0.42 plus: ( $i * $i ) > $i)).
% 0.21/0.42 tff(n1_type, type, (
% 0.21/0.42 n1: $i)).
% 0.21/0.42 tff(n3_type, type, (
% 0.21/0.42 n3: $i)).
% 0.21/0.42 tff(1,plain,
% 0.21/0.42 (^[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)))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(2,plain,
% 0.21/0.42 (![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))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.42 tff(3,plain,
% 0.21/0.42 (^[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)))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(4,plain,
% 0.21/0.42 (![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))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.42 tff(5,plain,
% 0.21/0.42 (![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))))))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[4, 2])).
% 0.21/0.42 tff(6,plain,
% 0.21/0.42 (^[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))))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(7,plain,
% 0.21/0.42 (![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))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[6])).
% 0.21/0.42 tff(8,plain,
% 0.21/0.42 (![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))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(9,axiom,(![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax','releases_all_defn')).
% 0.21/0.42 tff(10,plain,
% 0.21/0.42 (![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.21/0.42 tff(11,plain,(
% 0.21/0.42 ![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))))))),
% 0.21/0.42 inference(skolemize,[status(sab)],[10])).
% 0.21/0.42 tff(12,plain,
% 0.21/0.42 (![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))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.21/0.42 tff(13,plain,
% 0.21/0.42 (![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))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.21/0.42 tff(14,plain,
% 0.21/0.42 (((~![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))))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(15,plain,
% 0.21/0.42 ((~((~((~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)))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(16,plain,
% 0.21/0.42 (((~![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))))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[15])).
% 0.21/0.42 tff(17,plain,
% 0.21/0.42 (((~![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))))))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[16, 14])).
% 0.21/0.42 tff(18,plain,
% 0.21/0.42 ((~![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))))))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(19,plain,
% 0.21/0.42 ((~![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)))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.21/0.42 tff(20,plain,
% 0.21/0.42 (~((~((~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))))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[19, 13])).
% 0.21/0.42 tff(21,plain,
% 0.21/0.42 (((~((~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))))))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(22,plain,
% 0.21/0.43 ((~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)))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.21/0.43 tff(23,plain,
% 0.21/0.43 ((plus(n0, n1) = n1) <=> (plus(n0, n1) = n1)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(24,axiom,(plus(n0, n1) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','plus0_1')).
% 0.21/0.43 tff(25,plain,
% 0.21/0.43 (plus(n0, n1) = n1),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.43 tff(26,plain,
% 0.21/0.43 (releasedAt(filling, plus(n0, n1)) <=> releasedAt(filling, n1)),
% 0.21/0.43 inference(monotonicity,[status(thm)],[25])).
% 0.21/0.43 tff(27,plain,
% 0.21/0.43 (releasedAt(filling, n1) <=> releasedAt(filling, plus(n0, n1))),
% 0.21/0.43 inference(symmetry,[status(thm)],[26])).
% 0.21/0.43 tff(28,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)).
% 0.21/0.43 tff(29,plain,
% 0.21/0.43 (((~![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))))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(30,plain,
% 0.21/0.43 ((~((~((~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)))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(31,plain,
% 0.21/0.43 (((~![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))))))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[30])).
% 0.21/0.43 tff(32,plain,
% 0.21/0.43 (((~![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))))))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[31, 29])).
% 0.21/0.43 tff(33,plain,
% 0.21/0.43 ((~![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))))))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(34,plain,
% 0.21/0.43 ((~![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: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn)))))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.21/0.43 tff(35,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[34, 13, 28])).
% 0.21/0.43 tff(36,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,[]))).
% 0.21/0.43 tff(37,plain,
% 0.21/0.43 (((~((~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))))))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(38,plain,
% 0.21/0.43 ((~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)))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.21/0.43 tff(39,assumption,(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))), introduced(assumption)).
% 0.21/0.44 tff(40,plain,
% 0.21/0.44 (^[X: $i] : refl((~(filling = waterLevel(X))) <=> (~(filling = waterLevel(X))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(41,plain,
% 0.21/0.44 (![X: $i] : (~(filling = waterLevel(X))) <=> ![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[40])).
% 0.21/0.44 tff(42,plain,
% 0.21/0.44 (![X: $i] : (~(filling = waterLevel(X))) <=> ![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(43,axiom,(![X: $i] : (~(filling = waterLevel(X)))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax','filling_not_waterLevel')).
% 0.21/0.44 tff(44,plain,
% 0.21/0.44 (![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.21/0.44 tff(45,plain,(
% 0.21/0.44 ![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[44])).
% 0.21/0.44 tff(46,plain,
% 0.21/0.44 (![X: $i] : (~(filling = waterLevel(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.21/0.44 tff(47,plain,
% 0.21/0.44 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(48,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[47, 46, 39])).
% 0.21/0.44 tff(49,plain,(~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(50,plain,
% 0.21/0.44 (((~(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))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(51,plain,
% 0.21/0.44 ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.21/0.44 tff(52,plain,
% 0.21/0.44 ((~((~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)))))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(53,plain,
% 0.21/0.44 ((~((~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))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.21/0.44 tff(54,plain,
% 0.21/0.44 (~releases(tptp_fun_Event_7(n1, filling), filling, n1)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[53, 38])).
% 0.21/0.44 tff(55,plain,
% 0.21/0.44 (((~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)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(56,plain,
% 0.21/0.44 ((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.21/0.44 tff(57,assumption,((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)))))), introduced(assumption)).
% 0.21/0.44 tff(58,plain,
% 0.21/0.44 (((~![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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, 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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn))))))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(59,plain,
% 0.21/0.44 ((~((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)))))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(60,plain,
% 0.21/0.44 (((~![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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(tptp_fun_Event_7(plus(n1, 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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn))))))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[59])).
% 0.21/0.44 tff(61,plain,
% 0.21/0.44 (((~![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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(tptp_fun_Event_7(plus(n1, 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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn))))))))),
% 0.21/0.44 inference(transitivity,[status(thm)],[60, 58])).
% 0.21/0.44 tff(62,plain,
% 0.21/0.44 ((~![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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(63,plain,
% 0.21/0.44 ((~![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(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)))))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.21/0.44 tff(64,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[63, 13, 57])).
% 0.21/0.44 tff(65,plain,(~((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(66,plain,
% 0.21/0.44 (((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~(releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)))))) | ((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(67,plain,
% 0.21/0.44 ((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling)))))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.21/0.45 tff(68,assumption,(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling)))), introduced(assumption)).
% 0.21/0.45 tff(69,plain,
% 0.21/0.45 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling)))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(70,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[69, 46, 68])).
% 0.21/0.45 tff(71,plain,(~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(72,plain,
% 0.21/0.45 (((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling)))))) | (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(73,plain,
% 0.21/0.45 ((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling)))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.21/0.45 tff(74,plain,
% 0.21/0.45 ((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling)))))))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(75,plain,
% 0.21/0.45 ((~((~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))) | (~((~(tptp_fun_Event_7(plus(n1, n1), filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(plus(n1, n1), filling))))))))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.21/0.45 tff(76,plain,
% 0.21/0.45 (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[75, 67])).
% 0.21/0.45 tff(77,plain,
% 0.21/0.45 (((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)))) | releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(78,plain,
% 0.21/0.45 ((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[77, 76])).
% 0.21/0.45 tff(79,plain,
% 0.21/0.45 (^[X: $i, Y: $i] : refl((plus(X, Y) = plus(Y, X)) <=> (plus(X, Y) = plus(Y, X)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(80,plain,
% 0.21/0.45 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[79])).
% 0.21/0.45 tff(81,plain,
% 0.21/0.45 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(82,axiom,(![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','symmetry_of_plus')).
% 0.21/0.45 tff(83,plain,
% 0.21/0.45 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.21/0.45 tff(84,plain,(
% 0.21/0.45 ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.45 inference(skolemize,[status(sab)],[83])).
% 0.21/0.45 tff(85,plain,
% 0.21/0.45 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.21/0.45 tff(86,plain,
% 0.21/0.45 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, plus(n1, n1)) = plus(plus(n1, n1), n1))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(87,plain,
% 0.21/0.45 (plus(n1, plus(n1, n1)) = plus(plus(n1, n1), n1)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.21/0.45 tff(88,plain,
% 0.21/0.45 (plus(plus(n1, n1), n1) = plus(n1, plus(n1, n1))),
% 0.21/0.45 inference(symmetry,[status(thm)],[87])).
% 0.21/0.45 tff(89,plain,
% 0.21/0.45 (releasedAt(filling, plus(plus(n1, n1), n1)) <=> releasedAt(filling, plus(n1, plus(n1, n1)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[88])).
% 0.21/0.45 tff(90,plain,
% 0.21/0.45 (releasedAt(filling, plus(n1, plus(n1, n1))) <=> releasedAt(filling, plus(plus(n1, n1), n1))),
% 0.21/0.45 inference(symmetry,[status(thm)],[89])).
% 0.21/0.45 tff(91,plain,
% 0.21/0.45 (releasedAt(filling, n3) <=> releasedAt(filling, plus(n1, plus(n1, n1)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(92,plain,
% 0.21/0.45 (releasedAt(filling, n3) <=> releasedAt(filling, n3)),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(93,plain,
% 0.21/0.45 ((~(~releasedAt(filling, n3))) <=> releasedAt(filling, n3)),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(94,axiom,(~(~releasedAt(filling, n3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','filling_3_l1')).
% 0.21/0.45 tff(95,plain,
% 0.21/0.45 (releasedAt(filling, n3)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.21/0.45 tff(96,plain,
% 0.21/0.45 (releasedAt(filling, n3)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[95, 92])).
% 0.21/0.45 tff(97,plain,
% 0.21/0.45 (releasedAt(filling, plus(n1, plus(n1, n1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[96, 91])).
% 0.21/0.45 tff(98,plain,
% 0.21/0.45 (releasedAt(filling, plus(plus(n1, n1), n1))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[97, 90])).
% 0.21/0.45 tff(99,plain,
% 0.21/0.45 (^[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))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(100,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[99])).
% 0.21/0.45 tff(101,plain,
% 0.21/0.45 (^[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)))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(102,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[101])).
% 0.21/0.45 tff(103,plain,
% 0.21/0.45 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite(((~(~releasedAt(Fluent, Time))) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> (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)))))), 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)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(104,plain,
% 0.21/0.45 (![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)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[103])).
% 0.21/0.45 tff(105,plain,
% 0.21/0.45 (![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))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(106,plain,
% 0.21/0.45 (^[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))))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(107,plain,
% 0.21/0.45 (![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))))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[106])).
% 0.21/0.45 tff(108,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/sandbox2/benchmark/Axioms/CSR001+0.ax','keep_not_released')).
% 0.21/0.45 tff(109,plain,
% 0.21/0.45 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.45 tff(110,plain,
% 0.21/0.45 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.21/0.45 tff(111,plain,(
% 0.21/0.45 ![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))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[110])).
% 0.21/0.45 tff(112,plain,
% 0.21/0.45 (![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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.21/0.45 tff(113,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[112, 102])).
% 0.21/0.45 tff(114,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[113, 100])).
% 0.21/0.45 tff(115,plain,
% 0.21/0.45 (((~![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(plus(n1, n1), n1))) | releasedAt(filling, plus(n1, n1)) | (~((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, 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(plus(n1, n1), n1))) | releasedAt(filling, plus(n1, n1)) | (~((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(116,plain,
% 0.21/0.45 ((~![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(plus(n1, n1), n1))) | releasedAt(filling, plus(n1, n1)) | (~((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1))))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(117,plain,
% 0.21/0.45 ((~![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(plus(n1, n1), n1))) | releasedAt(filling, plus(n1, n1)) | (~((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.21/0.46 tff(118,plain,
% 0.21/0.46 ((~releasedAt(filling, plus(plus(n1, n1), n1))) | releasedAt(filling, plus(n1, n1)) | (~((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[117, 114])).
% 0.21/0.46 tff(119,plain,
% 0.21/0.46 (releasedAt(filling, plus(n1, n1)) | (~((~happens(tptp_fun_Event_7(plus(n1, n1), filling), plus(n1, n1))) | (~releases(tptp_fun_Event_7(plus(n1, n1), filling), filling, plus(n1, n1)))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[118, 98])).
% 0.21/0.46 tff(120,plain,
% 0.21/0.46 (releasedAt(filling, plus(n1, n1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[119, 78])).
% 0.21/0.46 tff(121,plain,
% 0.21/0.46 (((~![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)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(122,plain,
% 0.21/0.46 ((~![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)))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(123,plain,
% 0.21/0.46 ((~![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.21/0.46 tff(124,plain,
% 0.21/0.46 (releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[123, 114, 120])).
% 0.21/0.46 tff(125,plain,
% 0.21/0.46 (releasedAt(filling, n1)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[124, 56])).
% 0.21/0.46 tff(126,plain,
% 0.21/0.46 (releasedAt(filling, plus(n0, n1))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[125, 27])).
% 0.21/0.46 tff(127,plain,
% 0.21/0.46 ((~releasedAt(filling, n0)) <=> (~releasedAt(filling, n0))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(128,axiom,(~releasedAt(filling, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_released_filling_0')).
% 0.21/0.46 tff(129,plain,
% 0.21/0.46 (~releasedAt(filling, n0)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.21/0.46 tff(130,plain,
% 0.21/0.46 (((~![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)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(131,plain,
% 0.21/0.46 (((~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)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(132,plain,
% 0.21/0.46 (((~![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))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[131])).
% 0.21/0.46 tff(133,plain,
% 0.21/0.46 (((~![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)))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[132, 130])).
% 0.21/0.46 tff(134,plain,
% 0.21/0.46 ((~![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)))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(135,plain,
% 0.21/0.46 ((~![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.21/0.46 tff(136,plain,
% 0.21/0.46 ((~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[135, 114, 129])).
% 0.21/0.46 tff(137,plain,
% 0.21/0.46 (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[136, 126])).
% 0.21/0.46 tff(138,plain,
% 0.21/0.46 (((~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)),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(139,plain,
% 0.21/0.46 (releases(tptp_fun_Event_7(n0, filling), filling, n0)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.21/0.46 tff(140,plain,
% 0.21/0.46 ((~((~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)))))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(141,plain,
% 0.21/0.47 ((~((~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))))))))) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.21/0.47 tff(142,plain,
% 0.21/0.47 (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[141, 22])).
% 0.21/0.47 tff(143,plain,
% 0.21/0.47 (((~(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))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(144,plain,
% 0.21/0.47 (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[143, 142])).
% 0.21/0.47 tff(145,plain,
% 0.21/0.47 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(146,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[145, 46, 144])).
% 0.21/0.47 % SZS output end Proof
%------------------------------------------------------------------------------