%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR020+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:01:14 AM UTC 2025
% Result : Theorem 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR020+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 12:27:26 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.39 % SZS status Theorem
% 0.21/0.39 % SZS output start Proof
% 0.21/0.39 tff(releasedAt_type, type, (
% 0.21/0.39 releasedAt: ( $i * $i ) > $o)).
% 0.21/0.39 tff(n2_type, type, (
% 0.21/0.39 n2: $i)).
% 0.21/0.39 tff(spinning_type, type, (
% 0.21/0.39 spinning: $i)).
% 0.21/0.39 tff(plus_type, type, (
% 0.21/0.39 plus: ( $i * $i ) > $i)).
% 0.21/0.39 tff(n1_type, type, (
% 0.21/0.39 n1: $i)).
% 0.21/0.39 tff(initiates_type, type, (
% 0.21/0.39 initiates: ( $i * $i * $i ) > $o)).
% 0.21/0.39 tff(tptp_fun_Event_5_type, type, (
% 0.21/0.39 tptp_fun_Event_5: ( $i * $i ) > $i)).
% 0.21/0.39 tff(happens_type, type, (
% 0.21/0.39 happens: ( $i * $i ) > $o)).
% 0.21/0.39 tff(pull_type, type, (
% 0.21/0.39 pull: $i)).
% 0.21/0.39 tff(push_type, type, (
% 0.21/0.39 push: $i)).
% 0.21/0.39 tff(n0_type, type, (
% 0.21/0.39 n0: $i)).
% 0.21/0.39 tff(holdsAt_type, type, (
% 0.21/0.39 holdsAt: ( $i * $i ) > $o)).
% 0.21/0.39 tff(backwards_type, type, (
% 0.21/0.39 backwards: $i)).
% 0.21/0.39 tff(forwards_type, type, (
% 0.21/0.39 forwards: $i)).
% 0.21/0.39 tff(1,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(2,axiom,(plus(n1, n1) = n2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','plus1_1')).
% 0.21/0.39 tff(3,plain,
% 0.21/0.39 (plus(n1, n1) = n2),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.21/0.39 tff(4,plain,
% 0.21/0.39 (n2 = plus(n1, n1)),
% 0.21/0.39 inference(symmetry,[status(thm)],[3])).
% 0.21/0.39 tff(5,plain,
% 0.21/0.39 (releasedAt(spinning, n2) <=> releasedAt(spinning, plus(n1, n1))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.39 tff(6,plain,
% 0.21/0.39 (releasedAt(spinning, plus(n1, n1)) <=> releasedAt(spinning, n2)),
% 0.21/0.39 inference(symmetry,[status(thm)],[5])).
% 0.21/0.39 tff(7,plain,
% 0.21/0.39 (^[Event: $i, Time: $i] : refl((happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))))) <=> (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[7])).
% 0.21/0.39 tff(9,plain,
% 0.21/0.39 (^[Event: $i, Time: $i] : rewrite((happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))) <=> (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(10,plain,
% 0.21/0.39 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[9])).
% 0.21/0.39 tff(11,plain,
% 0.21/0.39 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(12,plain,
% 0.21/0.39 (^[Event: $i, Time: $i] : rewrite((happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2)))) <=> (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(13,plain,
% 0.21/0.40 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[12])).
% 0.21/0.40 tff(14,axiom,(![Event: $i, Time: $i] : (happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','happens_all_defn')).
% 0.21/0.40 tff(15,plain,
% 0.21/0.40 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.21/0.40 tff(16,plain,
% 0.21/0.40 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.21/0.40 tff(17,plain,(
% 0.21/0.40 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.40 inference(skolemize,[status(sab)],[16])).
% 0.21/0.40 tff(18,plain,
% 0.21/0.40 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.21/0.40 tff(19,plain,
% 0.21/0.40 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[18, 8])).
% 0.21/0.40 tff(20,plain,
% 0.21/0.40 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(21,plain,
% 0.21/0.40 ((happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(n1 = n1)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))) <=> (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(22,plain,
% 0.21/0.40 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(n1 = n1)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[21])).
% 0.21/0.40 tff(23,plain,
% 0.21/0.40 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(n1 = n1)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))))),
% 0.21/0.40 inference(transitivity,[status(thm)],[22, 20])).
% 0.21/0.40 tff(24,plain,
% 0.21/0.40 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(n1 = n1)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(25,plain,
% 0.21/0.40 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.40 tff(26,plain,
% 0.21/0.40 (happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[25, 19])).
% 0.21/0.40 tff(27,assumption,(~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)))), introduced(assumption)).
% 0.21/0.40 tff(28,plain,
% 0.21/0.40 (((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))) | happens(tptp_fun_Event_5(n1, spinning), n1)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(29,plain,
% 0.21/0.40 (happens(tptp_fun_Event_5(n1, spinning), n1)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.21/0.41 tff(30,plain,
% 0.21/0.41 ((~(happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))) | (~happens(tptp_fun_Event_5(n1, spinning), n1)) | ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(31,plain,
% 0.21/0.41 ((~(happens(tptp_fun_Event_5(n1, spinning), n1) <=> ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))))) | ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.21/0.41 tff(32,plain,
% 0.21/0.41 ((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[31, 26])).
% 0.21/0.41 tff(33,plain,
% 0.21/0.41 ((n1 = n0) <=> (n0 = n1)),
% 0.21/0.41 inference(commutativity,[status(thm)],[])).
% 0.21/0.41 tff(34,plain,
% 0.21/0.41 ((n0 = n1) <=> (n1 = n0)),
% 0.21/0.41 inference(symmetry,[status(thm)],[33])).
% 0.21/0.41 tff(35,plain,
% 0.21/0.41 ((~(n0 = n1)) <=> (~(n1 = n0))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[34])).
% 0.21/0.41 tff(36,assumption,(n0 = n1), introduced(assumption)).
% 0.21/0.41 tff(37,plain,
% 0.21/0.41 (n1 = n0),
% 0.21/0.41 inference(symmetry,[status(thm)],[36])).
% 0.21/0.41 tff(38,plain,
% 0.21/0.41 (plus(n1, n1) = plus(n0, n0)),
% 0.21/0.41 inference(monotonicity,[status(thm)],[37, 37])).
% 0.21/0.41 tff(39,plain,
% 0.21/0.41 (plus(n0, n0) = plus(n1, n1)),
% 0.21/0.41 inference(symmetry,[status(thm)],[38])).
% 0.21/0.41 tff(40,plain,
% 0.21/0.41 ((plus(n0, n0) = n0) <=> (plus(n0, n0) = n0)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(41,axiom,(plus(n0, n0) = n0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','plus0_0')).
% 0.21/0.41 tff(42,plain,
% 0.21/0.41 (plus(n0, n0) = n0),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.21/0.41 tff(43,plain,
% 0.21/0.41 (n0 = plus(n0, n0)),
% 0.21/0.41 inference(symmetry,[status(thm)],[42])).
% 0.21/0.41 tff(44,plain,
% 0.21/0.41 (n0 = n2),
% 0.21/0.41 inference(transitivity,[status(thm)],[43, 39, 3])).
% 0.21/0.41 tff(45,assumption,(n0 = n2), introduced(assumption)).
% 0.21/0.41 tff(46,plain,
% 0.21/0.41 (holdsAt(spinning, n0) <=> holdsAt(spinning, n2)),
% 0.21/0.41 inference(monotonicity,[status(thm)],[45])).
% 0.21/0.41 tff(47,plain,
% 0.21/0.41 (holdsAt(spinning, n2) <=> holdsAt(spinning, n0)),
% 0.21/0.41 inference(symmetry,[status(thm)],[46])).
% 0.21/0.41 tff(48,plain,
% 0.21/0.41 (holdsAt(spinning, n2) <=> holdsAt(spinning, n2)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(49,plain,
% 0.21/0.41 ((~(~holdsAt(spinning, n2))) <=> holdsAt(spinning, n2)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(50,axiom,(~(~holdsAt(spinning, n2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_spinning_2')).
% 0.21/0.41 tff(51,plain,
% 0.21/0.41 (holdsAt(spinning, n2)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.21/0.41 tff(52,plain,
% 0.21/0.41 (holdsAt(spinning, n2)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[51, 48])).
% 0.21/0.41 tff(53,plain,
% 0.21/0.41 (holdsAt(spinning, n0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[52, 47])).
% 0.21/0.41 tff(54,plain,
% 0.21/0.41 ((~holdsAt(spinning, n0)) <=> (~holdsAt(spinning, n0))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(55,axiom,(~holdsAt(spinning, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_splinning_0')).
% 0.21/0.41 tff(56,plain,
% 0.21/0.41 (~holdsAt(spinning, n0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.21/0.41 tff(57,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[56, 53])).
% 0.21/0.41 tff(58,plain,(~(n0 = n2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(59,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[58, 44])).
% 0.21/0.41 tff(60,plain,(~(n0 = n1)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(61,plain,
% 0.21/0.41 (~(n1 = n0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[60, 35])).
% 0.21/0.41 tff(62,plain,
% 0.21/0.41 (((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))) | (n1 = n0)),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(63,plain,
% 0.21/0.41 ((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.21/0.41 tff(64,assumption,(n1 = n2), introduced(assumption)).
% 0.21/0.41 tff(65,plain,
% 0.21/0.41 (holdsAt(spinning, n1) <=> holdsAt(spinning, n2)),
% 0.21/0.41 inference(monotonicity,[status(thm)],[64])).
% 0.21/0.41 tff(66,plain,
% 0.21/0.41 (holdsAt(spinning, n2) <=> holdsAt(spinning, n1)),
% 0.21/0.41 inference(symmetry,[status(thm)],[65])).
% 0.21/0.41 tff(67,plain,
% 0.21/0.41 (holdsAt(spinning, n1)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[52, 66])).
% 0.21/0.41 tff(68,plain,
% 0.21/0.41 ((plus(n0, n1) = n1) <=> (plus(n0, n1) = n1)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(69,axiom,(plus(n0, n1) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','plus0_1')).
% 0.21/0.41 tff(70,plain,
% 0.21/0.41 (plus(n0, n1) = n1),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.21/0.41 tff(71,plain,
% 0.21/0.41 (holdsAt(spinning, plus(n0, n1)) <=> holdsAt(spinning, n1)),
% 0.21/0.41 inference(monotonicity,[status(thm)],[70])).
% 0.21/0.41 tff(72,plain,
% 0.21/0.41 ((~holdsAt(spinning, plus(n0, n1))) <=> (~holdsAt(spinning, n1))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[71])).
% 0.21/0.41 tff(73,plain,
% 0.21/0.41 (n1 = plus(n0, n1)),
% 0.21/0.41 inference(symmetry,[status(thm)],[70])).
% 0.21/0.41 tff(74,plain,
% 0.21/0.41 (releasedAt(spinning, n1) <=> releasedAt(spinning, plus(n0, n1))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[73])).
% 0.21/0.41 tff(75,plain,
% 0.21/0.41 (releasedAt(spinning, plus(n0, n1)) <=> releasedAt(spinning, n1)),
% 0.21/0.41 inference(symmetry,[status(thm)],[74])).
% 0.21/0.41 tff(76,assumption,(releasedAt(spinning, plus(n0, n1))), introduced(assumption)).
% 0.21/0.41 tff(77,plain,
% 0.21/0.41 (releasedAt(spinning, n1)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.21/0.41 tff(78,plain,
% 0.21/0.41 (^[Fluent: $i, Time: $i] : refl((~releasedAt(Fluent, Time)) <=> (~releasedAt(Fluent, Time)))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(79,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time)) <=> ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[78])).
% 0.21/0.41 tff(80,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time)) <=> ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(81,axiom,(![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_releasedAt')).
% 0.21/0.41 tff(82,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.21/0.41 tff(83,plain,(
% 0.21/0.41 ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.41 inference(skolemize,[status(sab)],[82])).
% 0.21/0.41 tff(84,plain,
% 0.21/0.41 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.21/0.41 tff(85,plain,
% 0.21/0.41 ((~![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))) | (~releasedAt(spinning, n1))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(86,plain,
% 0.21/0.41 (~releasedAt(spinning, n1)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.21/0.41 tff(87,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[86, 77])).
% 0.21/0.41 tff(88,plain,(~releasedAt(spinning, plus(n0, n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(89,plain,
% 0.21/0.41 (^[Event: $i, Fluent: $i, Time: $i] : refl((initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))) <=> (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(90,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[89])).
% 0.21/0.41 tff(91,plain,
% 0.21/0.41 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))) <=> (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(92,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[91])).
% 0.21/0.41 tff(93,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(94,plain,
% 0.21/0.41 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time)))) <=> (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(95,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[94])).
% 0.21/0.41 tff(96,axiom,(![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','initiates_all_defn')).
% 0.21/0.41 tff(97,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.21/0.41 tff(98,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.21/0.41 tff(99,plain,(
% 0.21/0.41 ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.21/0.41 inference(skolemize,[status(sab)],[98])).
% 0.21/0.41 tff(100,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.21/0.41 tff(101,plain,
% 0.21/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[100, 90])).
% 0.21/0.41 tff(102,plain,
% 0.21/0.41 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(103,plain,
% 0.21/0.41 ((initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = spinning)))))) <=> (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(104,plain,
% 0.21/0.41 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[103])).
% 0.21/0.42 tff(105,plain,
% 0.21/0.42 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[104, 102])).
% 0.21/0.42 tff(106,plain,
% 0.21/0.42 ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(spinning = spinning))))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(107,plain,
% 0.21/0.42 ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.21/0.42 tff(108,plain,
% 0.21/0.42 (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[107, 101])).
% 0.21/0.42 tff(109,assumption,(~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))), introduced(assumption)).
% 0.21/0.42 tff(110,plain,
% 0.21/0.42 (((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))) | initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(111,plain,
% 0.21/0.42 (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.21/0.42 tff(112,plain,
% 0.21/0.42 ((~(initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))))) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)) | ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(113,plain,
% 0.21/0.42 ((~(initiates(tptp_fun_Event_5(n0, spinning), spinning, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))))) | ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.21/0.42 tff(114,plain,
% 0.21/0.42 ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[113, 108])).
% 0.21/0.42 tff(115,plain,
% 0.21/0.42 ((spinning = forwards) <=> (forwards = spinning)),
% 0.21/0.42 inference(commutativity,[status(thm)],[])).
% 0.21/0.42 tff(116,plain,
% 0.21/0.42 ((forwards = spinning) <=> (spinning = forwards)),
% 0.21/0.42 inference(symmetry,[status(thm)],[115])).
% 0.21/0.42 tff(117,plain,
% 0.21/0.42 ((~(forwards = spinning)) <=> (~(spinning = forwards))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[116])).
% 0.21/0.42 tff(118,plain,
% 0.21/0.42 ((~(forwards = spinning)) <=> (~(forwards = spinning))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(119,axiom,(~(forwards = spinning)), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','forwards_not_spinning')).
% 0.21/0.42 tff(120,plain,
% 0.21/0.42 (~(forwards = spinning)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.21/0.42 tff(121,plain,
% 0.21/0.42 (~(spinning = forwards)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[120, 117])).
% 0.21/0.42 tff(122,plain,
% 0.21/0.42 ((happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards))) | (spinning = forwards)),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(123,plain,
% 0.21/0.42 (happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.21/0.42 tff(124,plain,
% 0.21/0.42 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(125,plain,
% 0.21/0.43 ((happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n0)))))) <=> (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(126,plain,
% 0.21/0.43 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[125])).
% 0.21/0.43 tff(127,plain,
% 0.21/0.43 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[126, 124])).
% 0.21/0.43 tff(128,plain,
% 0.21/0.43 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n0))))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(129,plain,
% 0.21/0.43 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.21/0.43 tff(130,plain,
% 0.21/0.43 (happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[129, 19])).
% 0.21/0.43 tff(131,plain,
% 0.21/0.43 (((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))) | happens(tptp_fun_Event_5(n0, spinning), n0)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(132,plain,
% 0.21/0.43 (happens(tptp_fun_Event_5(n0, spinning), n0)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[131, 109])).
% 0.21/0.43 tff(133,plain,
% 0.21/0.43 ((~(happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))))) | (~happens(tptp_fun_Event_5(n0, spinning), n0)) | ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(134,plain,
% 0.21/0.43 ((~(happens(tptp_fun_Event_5(n0, spinning), n0) <=> ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))))) | ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[133, 132])).
% 0.21/0.43 tff(135,plain,
% 0.21/0.43 ((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[134, 130])).
% 0.21/0.43 tff(136,plain,
% 0.21/0.43 (((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))) | (n0 = n1)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(137,plain,
% 0.21/0.43 ((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[136, 60])).
% 0.21/0.43 tff(138,plain,
% 0.21/0.43 (((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull))) | (n0 = n2)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(139,plain,
% 0.21/0.43 ((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[138, 58])).
% 0.21/0.43 tff(140,plain,
% 0.21/0.43 (((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2))) | (n0 = n2)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(141,plain,
% 0.21/0.43 ((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[140, 58])).
% 0.21/0.43 tff(142,plain,
% 0.21/0.43 ((~((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))) | (tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(143,plain,
% 0.21/0.43 ((~((tptp_fun_Event_5(n0, spinning) = push) | (~((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2)))) | (~((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1)))))) | (tptp_fun_Event_5(n0, spinning) = push)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[142, 141, 139, 137])).
% 0.21/0.43 tff(144,plain,
% 0.21/0.43 (tptp_fun_Event_5(n0, spinning) = push),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[143, 135])).
% 0.21/0.43 tff(145,plain,
% 0.21/0.43 ((tptp_fun_Event_5(n0, spinning) = pull) <=> (push = pull)),
% 0.21/0.43 inference(monotonicity,[status(thm)],[144])).
% 0.21/0.43 tff(146,plain,
% 0.21/0.43 ((push = pull) <=> (tptp_fun_Event_5(n0, spinning) = pull)),
% 0.21/0.43 inference(symmetry,[status(thm)],[145])).
% 0.21/0.43 tff(147,plain,
% 0.21/0.43 ((~(push = pull)) <=> (~(tptp_fun_Event_5(n0, spinning) = pull))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[146])).
% 0.21/0.43 tff(148,plain,
% 0.21/0.43 ((~(push = pull)) <=> (~(push = pull))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(149,axiom,(~(push = pull)), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','push_not_pull')).
% 0.21/0.43 tff(150,plain,
% 0.21/0.43 (~(push = pull)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.21/0.43 tff(151,plain,
% 0.21/0.43 (~(tptp_fun_Event_5(n0, spinning) = pull)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[150, 147])).
% 0.21/0.43 tff(152,plain,
% 0.21/0.43 (((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))) | (tptp_fun_Event_5(n0, spinning) = pull)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(153,plain,
% 0.21/0.43 ((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[152, 151])).
% 0.21/0.43 tff(154,plain,
% 0.21/0.43 ((~(spinning = backwards)) <=> (~(spinning = backwards))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(155,axiom,(~(spinning = backwards)), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','spinning_not_backwards')).
% 0.21/0.43 tff(156,plain,
% 0.21/0.43 (~(spinning = backwards)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.21/0.43 tff(157,plain,
% 0.21/0.43 (((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull))) | (spinning = backwards)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(158,plain,
% 0.21/0.43 ((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[157, 156])).
% 0.21/0.43 tff(159,plain,
% 0.21/0.43 ((~((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))) | (~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(160,plain,
% 0.21/0.43 ((~((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0)))))) | (~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, spinning) = push)) | (~(spinning = forwards)))) | (~((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.21/0.43 tff(161,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[160, 153, 123, 114])).
% 0.21/0.43 tff(162,plain,((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(163,plain,
% 0.21/0.43 (^[Fluent: $i, Time: $i] : refl((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(164,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[163])).
% 0.21/0.44 tff(165,plain,
% 0.21/0.44 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite((happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)) <=> (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))), ((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))))), rewrite((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))), ((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(166,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[165])).
% 0.21/0.44 tff(167,plain,
% 0.21/0.44 (^[Fluent: $i, Time: $i] : rewrite(((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(168,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[167])).
% 0.21/0.44 tff(169,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))) <=> ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(170,plain,
% 0.21/0.44 (^[Fluent: $i, Time: $i] : trans(monotonicity(trans(monotonicity(rewrite((~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))) <=> (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))), ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> (((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))), rewrite((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> ((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))), ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> ((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))), (((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> (((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))))), rewrite((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))), (((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(171,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[170])).
% 0.21/0.44 tff(172,axiom,(![Fluent: $i, Time: $i] : ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax','keep_not_holding')).
% 0.21/0.44 tff(173,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.21/0.44 tff(174,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[173, 169])).
% 0.21/0.44 tff(175,plain,(
% 0.21/0.44 ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))),
% 0.21/0.44 inference(skolemize,[status(sab)],[174])).
% 0.21/0.44 tff(176,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[175, 168])).
% 0.21/0.44 tff(177,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[176, 166])).
% 0.21/0.44 tff(178,plain,
% 0.21/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[177, 164])).
% 0.21/0.44 tff(179,plain,
% 0.21/0.44 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (holdsAt(spinning, n0) | releasedAt(spinning, plus(n0, n1)) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | holdsAt(spinning, n0) | releasedAt(spinning, plus(n0, n1)) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(180,plain,
% 0.21/0.44 ((releasedAt(spinning, plus(n0, n1)) | holdsAt(spinning, n0) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))))) <=> (holdsAt(spinning, n0) | releasedAt(spinning, plus(n0, n1)) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(181,plain,
% 0.21/0.44 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(spinning, plus(n0, n1)) | holdsAt(spinning, n0) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (holdsAt(spinning, n0) | releasedAt(spinning, plus(n0, n1)) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[180])).
% 0.21/0.44 tff(182,plain,
% 0.21/0.44 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(spinning, plus(n0, n1)) | holdsAt(spinning, n0) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | holdsAt(spinning, n0) | releasedAt(spinning, plus(n0, n1)) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))),
% 0.21/0.44 inference(transitivity,[status(thm)],[181, 179])).
% 0.21/0.44 tff(183,plain,
% 0.21/0.44 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(spinning, plus(n0, n1)) | holdsAt(spinning, n0) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(184,plain,
% 0.21/0.44 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | holdsAt(spinning, n0) | releasedAt(spinning, plus(n0, n1)) | (~holdsAt(spinning, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.21/0.44 tff(185,plain,
% 0.21/0.44 (~holdsAt(spinning, plus(n0, n1))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[184, 178, 56, 162, 88])).
% 0.21/0.44 tff(186,plain,
% 0.21/0.44 (~holdsAt(spinning, n1)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[185, 72])).
% 0.21/0.44 tff(187,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[186, 67])).
% 0.21/0.44 tff(188,plain,(~(n1 = n2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(189,plain,
% 0.21/0.44 (((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull))) | (n1 = n2)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(190,plain,
% 0.21/0.44 ((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.21/0.44 tff(191,plain,
% 0.21/0.44 (((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2))) | (n1 = n2)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(192,plain,
% 0.21/0.44 ((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[191, 188])).
% 0.21/0.44 tff(193,plain,
% 0.21/0.44 ((~((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))) | (tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(194,plain,
% 0.21/0.44 ((~((tptp_fun_Event_5(n1, spinning) = pull) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(tptp_fun_Event_5(n1, spinning) = push)) | (~(n1 = n0)))))) | (tptp_fun_Event_5(n1, spinning) = pull)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[193, 192, 190, 63])).
% 0.21/0.44 tff(195,plain,
% 0.21/0.44 (tptp_fun_Event_5(n1, spinning) = pull),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[194, 32])).
% 0.21/0.44 tff(196,plain,
% 0.21/0.44 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(197,plain,
% 0.21/0.45 ((initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~(happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = spinning)))))) <=> (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(198,plain,
% 0.21/0.45 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~(happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[197])).
% 0.21/0.45 tff(199,plain,
% 0.21/0.45 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~(happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))))),
% 0.21/0.45 inference(transitivity,[status(thm)],[198, 196])).
% 0.21/0.45 tff(200,plain,
% 0.21/0.45 ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~(happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)) | (~(spinning = forwards)))) | (~(happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)) | (~(spinning = spinning))))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(201,plain,
% 0.21/0.45 ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.21/0.45 tff(202,plain,
% 0.21/0.45 (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[201, 101])).
% 0.21/0.45 tff(203,plain,
% 0.21/0.45 (((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))) | initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(204,plain,
% 0.21/0.45 (initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[203, 27])).
% 0.21/0.45 tff(205,plain,
% 0.21/0.45 ((~(initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))))) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)) | ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(206,plain,
% 0.21/0.45 ((~(initiates(tptp_fun_Event_5(n1, spinning), spinning, n1) <=> ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))))) | ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[205, 204])).
% 0.21/0.45 tff(207,plain,
% 0.21/0.45 ((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[206, 202])).
% 0.21/0.46 tff(208,plain,
% 0.21/0.46 (((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))) | (spinning = backwards)),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(209,plain,
% 0.21/0.46 ((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[208, 156])).
% 0.21/0.46 tff(210,assumption,(~(happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull))))))), introduced(assumption)).
% 0.21/0.46 tff(211,plain,
% 0.21/0.46 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(212,plain,
% 0.21/0.46 ((happens(push, n1) <=> ((~((~(push = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n1 = n1)))) | (~((~(push = push)) | (~(n1 = n0)))))) <=> (happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(213,plain,
% 0.21/0.46 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((~((~(push = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n1 = n1)))) | (~((~(push = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[212])).
% 0.21/0.46 tff(214,plain,
% 0.21/0.46 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((~((~(push = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n1 = n1)))) | (~((~(push = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[213, 211])).
% 0.21/0.46 tff(215,plain,
% 0.21/0.46 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((~((~(push = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n1 = n1)))) | (~((~(push = push)) | (~(n1 = n0))))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(216,plain,
% 0.21/0.46 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.21/0.46 tff(217,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[216, 19, 210])).
% 0.21/0.46 tff(218,plain,(happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(219,plain,
% 0.21/0.46 (((~(n1 = n2)) | (~(push = pull))) | (n1 = n2)),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(220,plain,
% 0.21/0.46 ((~(n1 = n2)) | (~(push = pull))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[219, 188])).
% 0.21/0.46 tff(221,plain,
% 0.21/0.46 ((~((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))) | (push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull))))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(222,plain,
% 0.21/0.46 ((~((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))) | (n1 = n0)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[221, 150, 188, 220])).
% 0.21/0.46 tff(223,plain,
% 0.21/0.46 (~((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[222, 61])).
% 0.21/0.46 tff(224,plain,
% 0.21/0.46 ((~(happens(push, n1) <=> ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull))))))) | (~happens(push, n1)) | ((push = pull) | (n1 = n0) | (n1 = n2) | (~((~(n1 = n2)) | (~(push = pull)))))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(225,plain,
% 0.21/0.46 (~happens(push, n1)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[224, 223, 218])).
% 0.21/0.46 tff(226,plain,
% 0.21/0.46 (((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull))) | happens(push, n1)),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(227,plain,
% 0.21/0.46 ((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[226, 225])).
% 0.21/0.46 tff(228,plain,
% 0.21/0.46 ((~((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))) | (~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull))))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(229,plain,
% 0.21/0.46 ((~((~((~happens(push, n1)) | (~(tptp_fun_Event_5(n1, spinning) = pull)))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))) | (~((~(spinning = backwards)) | happens(push, n1) | (~(tptp_fun_Event_5(n1, spinning) = pull)))))) | (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[228, 227, 209])).
% 0.21/0.46 tff(230,plain,
% 0.21/0.46 (~((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[229, 207])).
% 0.21/0.46 tff(231,plain,
% 0.21/0.46 (((~(spinning = forwards)) | happens(pull, n1) | (~(tptp_fun_Event_5(n1, spinning) = push))) | (tptp_fun_Event_5(n1, spinning) = push)),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(232,plain,
% 0.21/0.46 (tptp_fun_Event_5(n1, spinning) = push),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[231, 230])).
% 0.21/0.46 tff(233,plain,
% 0.21/0.46 (push = tptp_fun_Event_5(n1, spinning)),
% 0.21/0.46 inference(symmetry,[status(thm)],[232])).
% 0.21/0.46 tff(234,plain,
% 0.21/0.46 (push = pull),
% 0.21/0.46 inference(transitivity,[status(thm)],[233, 195])).
% 0.21/0.46 tff(235,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[150, 234])).
% 0.21/0.46 tff(236,plain,((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(237,plain,
% 0.21/0.46 (holdsAt(spinning, plus(n1, n1)) <=> holdsAt(spinning, n2)),
% 0.21/0.46 inference(monotonicity,[status(thm)],[3])).
% 0.21/0.46 tff(238,plain,
% 0.21/0.46 (holdsAt(spinning, n2) <=> holdsAt(spinning, plus(n1, n1))),
% 0.21/0.46 inference(symmetry,[status(thm)],[237])).
% 0.21/0.46 tff(239,plain,
% 0.21/0.46 (holdsAt(spinning, plus(n1, n1))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[52, 238])).
% 0.21/0.46 tff(240,plain,
% 0.21/0.46 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(spinning, plus(n1, n1)) | holdsAt(spinning, n1) | (~holdsAt(spinning, plus(n1, n1))) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | releasedAt(spinning, plus(n1, n1)) | holdsAt(spinning, n1) | (~holdsAt(spinning, plus(n1, n1))) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(241,plain,
% 0.21/0.46 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(spinning, plus(n1, n1)) | holdsAt(spinning, n1) | (~holdsAt(spinning, plus(n1, n1))) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1)))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(242,plain,
% 0.21/0.46 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | releasedAt(spinning, plus(n1, n1)) | holdsAt(spinning, n1) | (~holdsAt(spinning, plus(n1, n1))) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.21/0.46 tff(243,plain,
% 0.21/0.46 (releasedAt(spinning, plus(n1, n1)) | holdsAt(spinning, n1) | (~holdsAt(spinning, plus(n1, n1))) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[242, 178])).
% 0.21/0.46 tff(244,plain,
% 0.21/0.46 (releasedAt(spinning, plus(n1, n1)) | holdsAt(spinning, n1) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[243, 239])).
% 0.21/0.46 tff(245,plain,
% 0.21/0.46 (releasedAt(spinning, plus(n1, n1)) | (~((~happens(tptp_fun_Event_5(n1, spinning), n1)) | (~initiates(tptp_fun_Event_5(n1, spinning), spinning, n1))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[244, 186])).
% 0.21/0.46 tff(246,plain,
% 0.21/0.46 (releasedAt(spinning, plus(n1, n1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[245, 236])).
% 0.21/0.46 tff(247,plain,
% 0.21/0.46 (releasedAt(spinning, n2)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[246, 6])).
% 0.21/0.46 tff(248,plain,
% 0.21/0.46 ((~![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))) | (~releasedAt(spinning, n2))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(249,plain,
% 0.21/0.46 (~releasedAt(spinning, n2)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[248, 84])).
% 0.21/0.46 tff(250,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[249, 247])).
% 0.21/0.46 % SZS output end Proof
% 0.21/0.47 % E exiting
%------------------------------------------------------------------------------