%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR017+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:13 AM UTC 2025
% Result : Theorem 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR017+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 12:27:24 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.21/0.41 % SZS status Theorem
% 0.21/0.41 % SZS output start Proof
% 0.21/0.41 tff(releasedAt_type, type, (
% 0.21/0.41 releasedAt: ( $i * $i ) > $o)).
% 0.21/0.41 tff(n1_type, type, (
% 0.21/0.41 n1: $i)).
% 0.21/0.41 tff(spinning_type, type, (
% 0.21/0.41 spinning: $i)).
% 0.21/0.41 tff(plus_type, type, (
% 0.21/0.41 plus: ( $i * $i ) > $i)).
% 0.21/0.41 tff(n0_type, type, (
% 0.21/0.41 n0: $i)).
% 0.21/0.41 tff(initiates_type, type, (
% 0.21/0.41 initiates: ( $i * $i * $i ) > $o)).
% 0.21/0.41 tff(tptp_fun_Event_5_type, type, (
% 0.21/0.41 tptp_fun_Event_5: ( $i * $i ) > $i)).
% 0.21/0.41 tff(happens_type, type, (
% 0.21/0.41 happens: ( $i * $i ) > $o)).
% 0.21/0.41 tff(push_type, type, (
% 0.21/0.41 push: $i)).
% 0.21/0.41 tff(pull_type, type, (
% 0.21/0.41 pull: $i)).
% 0.21/0.41 tff(backwards_type, type, (
% 0.21/0.41 backwards: $i)).
% 0.21/0.41 tff(forwards_type, type, (
% 0.21/0.41 forwards: $i)).
% 0.21/0.41 tff(n2_type, type, (
% 0.21/0.41 n2: $i)).
% 0.21/0.41 tff(n6_type, type, (
% 0.21/0.41 n6: $i)).
% 0.21/0.41 tff(n3_type, type, (
% 0.21/0.41 n3: $i)).
% 0.21/0.41 tff(less_type, type, (
% 0.21/0.41 less: ( $i * $i ) > $o)).
% 0.21/0.41 tff(less_or_equal_type, type, (
% 0.21/0.41 less_or_equal: ( $i * $i ) > $o)).
% 0.21/0.41 tff(n4_type, type, (
% 0.21/0.41 n4: $i)).
% 0.21/0.41 tff(n5_type, type, (
% 0.21/0.41 n5: $i)).
% 0.21/0.41 tff(holdsAt_type, type, (
% 0.21/0.41 holdsAt: ( $i * $i ) > $o)).
% 0.21/0.41 tff(1,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(2,axiom,(plus(n0, n1) = n1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus0_1')).
% 0.21/0.41 tff(3,plain,
% 0.21/0.41 (plus(n0, n1) = n1),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.21/0.41 tff(4,plain,
% 0.21/0.41 (n1 = plus(n0, n1)),
% 0.21/0.41 inference(symmetry,[status(thm)],[3])).
% 0.21/0.41 tff(5,plain,
% 0.21/0.41 (releasedAt(spinning, n1) <=> releasedAt(spinning, plus(n0, n1))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.41 tff(6,plain,
% 0.21/0.41 (releasedAt(spinning, plus(n0, n1)) <=> releasedAt(spinning, n1)),
% 0.21/0.41 inference(symmetry,[status(thm)],[5])).
% 0.21/0.41 tff(7,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(8,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)],[7])).
% 0.21/0.41 tff(9,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(10,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)],[9])).
% 0.21/0.41 tff(11,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(12,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(13,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)],[12])).
% 0.21/0.41 tff(14,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/sandbox/benchmark/Axioms/CSR001+2.ax','initiates_all_defn')).
% 0.21/0.41 tff(15,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)],[14, 13])).
% 0.21/0.41 tff(16,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)],[15, 11])).
% 0.21/0.41 tff(17,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)],[16])).
% 0.21/0.41 tff(18,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)],[17, 10])).
% 0.21/0.41 tff(19,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)],[18, 8])).
% 0.21/0.41 tff(20,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(21,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(22,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)],[21])).
% 0.21/0.42 tff(23,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)],[22, 20])).
% 0.21/0.42 tff(24,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(25,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)],[24, 23])).
% 0.21/0.42 tff(26,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)],[25, 19])).
% 0.21/0.42 tff(27,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(28,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(29,plain,
% 0.21/0.42 (initiates(tptp_fun_Event_5(n0, spinning), spinning, n0)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.21/0.42 tff(30,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(31,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)],[30, 29])).
% 0.21/0.42 tff(32,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)],[31, 26])).
% 0.21/0.42 tff(33,plain,
% 0.21/0.42 ((spinning = forwards) <=> (forwards = spinning)),
% 0.21/0.42 inference(commutativity,[status(thm)],[])).
% 0.21/0.42 tff(34,plain,
% 0.21/0.42 ((forwards = spinning) <=> (spinning = forwards)),
% 0.21/0.42 inference(symmetry,[status(thm)],[33])).
% 0.21/0.42 tff(35,plain,
% 0.21/0.42 ((~(forwards = spinning)) <=> (~(spinning = forwards))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[34])).
% 0.21/0.42 tff(36,plain,
% 0.21/0.42 ((~(forwards = spinning)) <=> (~(forwards = spinning))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(37,axiom,(~(forwards = spinning)), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax','forwards_not_spinning')).
% 0.21/0.42 tff(38,plain,
% 0.21/0.42 (~(forwards = spinning)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.21/0.42 tff(39,plain,
% 0.21/0.42 (~(spinning = forwards)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[38, 35])).
% 0.21/0.42 tff(40,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(41,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)],[40, 39])).
% 0.21/0.42 tff(42,plain,
% 0.21/0.42 (^[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)))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(43,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)))))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[42])).
% 0.21/0.42 tff(44,plain,
% 0.21/0.42 (^[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)))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(45,plain,
% 0.21/0.42 (![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))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[44])).
% 0.21/0.42 tff(46,plain,
% 0.21/0.42 (![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))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(47,plain,
% 0.21/0.43 (^[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)))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(48,plain,
% 0.21/0.43 (![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))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[47])).
% 0.21/0.43 tff(49,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/sandbox/benchmark/Axioms/CSR001+2.ax','happens_all_defn')).
% 0.21/0.43 tff(50,plain,
% 0.21/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.21/0.43 tff(51,plain,
% 0.21/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.21/0.43 tff(52,plain,(
% 0.21/0.43 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.21/0.43 inference(skolemize,[status(sab)],[51])).
% 0.21/0.43 tff(53,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))))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.21/0.43 tff(54,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))))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[53, 43])).
% 0.21/0.43 tff(55,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))))))) <=> ((~![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(56,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(57,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)],[56])).
% 0.21/0.43 tff(58,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)],[57, 55])).
% 0.21/0.43 tff(59,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(60,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)],[59, 58])).
% 0.21/0.43 tff(61,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)],[60, 54])).
% 0.21/0.43 tff(62,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(63,plain,
% 0.21/0.43 (happens(tptp_fun_Event_5(n0, spinning), n0)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[62, 27])).
% 0.21/0.43 tff(64,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(65,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)],[64, 63])).
% 0.21/0.43 tff(66,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)],[65, 61])).
% 0.21/0.43 tff(67,plain,
% 0.21/0.43 ((plus(n1, n1) = n2) <=> (plus(n1, n1) = n2)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(68,axiom,(plus(n1, n1) = n2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_1')).
% 0.21/0.43 tff(69,plain,
% 0.21/0.43 (plus(n1, n1) = n2),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.21/0.43 tff(70,assumption,(n0 = n2), introduced(assumption)).
% 0.21/0.43 tff(71,plain,
% 0.21/0.43 (plus(n0, n1) = plus(n2, n1)),
% 0.21/0.43 inference(monotonicity,[status(thm)],[70])).
% 0.21/0.43 tff(72,plain,
% 0.21/0.43 (plus(n2, n1) = plus(n0, n1)),
% 0.21/0.43 inference(symmetry,[status(thm)],[71])).
% 0.21/0.43 tff(73,plain,
% 0.21/0.43 (^[X: $i, Y: $i] : refl((plus(X, Y) = plus(Y, X)) <=> (plus(X, Y) = plus(Y, X)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(74,plain,
% 0.21/0.43 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[73])).
% 0.21/0.43 tff(75,plain,
% 0.21/0.43 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(76,axiom,(![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','symmetry_of_plus')).
% 0.21/0.43 tff(77,plain,
% 0.21/0.43 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.21/0.43 tff(78,plain,(
% 0.21/0.43 ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.43 inference(skolemize,[status(sab)],[77])).
% 0.21/0.43 tff(79,plain,
% 0.21/0.43 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.21/0.43 tff(80,plain,
% 0.21/0.43 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, n2) = plus(n2, n1))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(81,plain,
% 0.21/0.43 (plus(n1, n2) = plus(n2, n1)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.21/0.43 tff(82,plain,
% 0.21/0.43 ((plus(n1, n2) = n3) <=> (plus(n1, n2) = n3)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(83,axiom,(plus(n1, n2) = n3), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_2')).
% 0.21/0.43 tff(84,plain,
% 0.21/0.43 (plus(n1, n2) = n3),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.21/0.43 tff(85,plain,
% 0.21/0.43 (n3 = plus(n1, n2)),
% 0.21/0.43 inference(symmetry,[status(thm)],[84])).
% 0.21/0.43 tff(86,plain,
% 0.21/0.43 (n3 = n1),
% 0.21/0.43 inference(transitivity,[status(thm)],[85, 81, 72, 3])).
% 0.21/0.43 tff(87,plain,
% 0.21/0.43 (plus(n3, n3) = plus(n1, n1)),
% 0.21/0.43 inference(monotonicity,[status(thm)],[86, 86])).
% 0.21/0.43 tff(88,plain,
% 0.21/0.43 ((plus(n3, n3) = n6) <=> (plus(n3, n3) = n6)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(89,axiom,(plus(n3, n3) = n6), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus3_3')).
% 0.21/0.43 tff(90,plain,
% 0.21/0.43 (plus(n3, n3) = n6),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.21/0.43 tff(91,plain,
% 0.21/0.43 (n6 = plus(n3, n3)),
% 0.21/0.43 inference(symmetry,[status(thm)],[90])).
% 0.21/0.43 tff(92,plain,
% 0.21/0.43 (n6 = n2),
% 0.21/0.43 inference(transitivity,[status(thm)],[91, 87, 69])).
% 0.21/0.43 tff(93,plain,
% 0.21/0.43 (^[X: $i, Y: $i] : refl((less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))) <=> (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(94,plain,
% 0.21/0.43 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))) <=> ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[93])).
% 0.21/0.43 tff(95,plain,
% 0.21/0.43 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))) <=> ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(96,plain,
% 0.21/0.44 (^[X: $i, Y: $i] : rewrite((less_or_equal(X, Y) <=> (less(X, Y) | (X = Y))) <=> (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(97,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> (less(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[96])).
% 0.21/0.44 tff(98,axiom,(![X: $i, Y: $i] : (less_or_equal(X, Y) <=> (less(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less_or_equal')).
% 0.21/0.44 tff(99,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.21/0.44 tff(100,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.21/0.44 tff(101,plain,(
% 0.21/0.44 ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[100])).
% 0.21/0.44 tff(102,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.21/0.44 tff(103,plain,
% 0.21/0.44 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n6, n2) <=> ((n6 = n2) | less(n6, n2)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(104,plain,
% 0.21/0.44 (less_or_equal(n6, n2) <=> ((n6 = n2) | less(n6, n2))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.21/0.44 tff(105,plain,
% 0.21/0.44 (^[X: $i] : refl((less(X, n3) <=> less_or_equal(X, n2)) <=> (less(X, n3) <=> less_or_equal(X, n2)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(106,plain,
% 0.21/0.44 (![X: $i] : (less(X, n3) <=> less_or_equal(X, n2)) <=> ![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[105])).
% 0.21/0.44 tff(107,plain,
% 0.21/0.44 (![X: $i] : (less(X, n3) <=> less_or_equal(X, n2)) <=> ![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(108,axiom,(![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less3')).
% 0.21/0.44 tff(109,plain,
% 0.21/0.44 (![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.44 tff(110,plain,(
% 0.21/0.44 ![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))),
% 0.21/0.44 inference(skolemize,[status(sab)],[109])).
% 0.21/0.44 tff(111,plain,
% 0.21/0.44 (![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[110, 106])).
% 0.21/0.44 tff(112,plain,
% 0.21/0.44 ((~![X: $i] : (less(X, n3) <=> less_or_equal(X, n2))) | (less(n6, n3) <=> less_or_equal(n6, n2))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(113,plain,
% 0.21/0.44 (less(n6, n3) <=> less_or_equal(n6, n2)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.21/0.44 tff(114,plain,
% 0.21/0.44 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n6, n3) <=> ((n6 = n3) | less(n6, n3)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(115,plain,
% 0.21/0.44 (less_or_equal(n6, n3) <=> ((n6 = n3) | less(n6, n3))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[114, 102])).
% 0.21/0.44 tff(116,plain,
% 0.21/0.44 (^[X: $i] : refl((less(X, n4) <=> less_or_equal(X, n3)) <=> (less(X, n4) <=> less_or_equal(X, n3)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(117,plain,
% 0.21/0.44 (![X: $i] : (less(X, n4) <=> less_or_equal(X, n3)) <=> ![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[116])).
% 0.21/0.44 tff(118,plain,
% 0.21/0.44 (![X: $i] : (less(X, n4) <=> less_or_equal(X, n3)) <=> ![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(119,axiom,(![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less4')).
% 0.21/0.44 tff(120,plain,
% 0.21/0.44 (![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.21/0.44 tff(121,plain,(
% 0.21/0.44 ![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))),
% 0.21/0.44 inference(skolemize,[status(sab)],[120])).
% 0.21/0.44 tff(122,plain,
% 0.21/0.44 (![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[121, 117])).
% 0.21/0.44 tff(123,plain,
% 0.21/0.44 ((~![X: $i] : (less(X, n4) <=> less_or_equal(X, n3))) | (less(n6, n4) <=> less_or_equal(n6, n3))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(124,plain,
% 0.21/0.44 (less(n6, n4) <=> less_or_equal(n6, n3)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.21/0.44 tff(125,plain,
% 0.21/0.44 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n6, n4) <=> ((n6 = n4) | less(n6, n4)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(126,plain,
% 0.21/0.44 (less_or_equal(n6, n4) <=> ((n6 = n4) | less(n6, n4))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[125, 102])).
% 0.21/0.44 tff(127,plain,
% 0.21/0.44 (^[X: $i] : refl((less(X, n5) <=> less_or_equal(X, n4)) <=> (less(X, n5) <=> less_or_equal(X, n4)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(128,plain,
% 0.21/0.44 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4)) <=> ![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[127])).
% 0.21/0.44 tff(129,plain,
% 0.21/0.44 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4)) <=> ![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(130,axiom,(![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less5')).
% 0.21/0.44 tff(131,plain,
% 0.21/0.44 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.21/0.44 tff(132,plain,(
% 0.21/0.44 ![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 0.21/0.44 inference(skolemize,[status(sab)],[131])).
% 0.21/0.44 tff(133,plain,
% 0.21/0.44 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[132, 128])).
% 0.21/0.44 tff(134,plain,
% 0.21/0.44 ((~![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))) | (less(n6, n5) <=> less_or_equal(n6, n4))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(135,plain,
% 0.21/0.44 (less(n6, n5) <=> less_or_equal(n6, n4)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[134, 133])).
% 0.21/0.44 tff(136,plain,
% 0.21/0.44 (^[X: $i, Y: $i] : refl((~(((Y = X) | less(Y, X)) <=> less(X, Y))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(137,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y))) <=> ![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[136])).
% 0.21/0.44 tff(138,plain,
% 0.21/0.44 (^[X: $i, Y: $i] : trans(trans(monotonicity(rewrite(((~less(Y, X)) & (~(Y = X))) <=> (~((Y = X) | less(Y, X)))), ((less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> (less(X, Y) <=> (~((Y = X) | less(Y, X)))))), rewrite((less(X, Y) <=> (~((Y = X) | less(Y, X)))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y)))), ((less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y))))), rewrite((~(((Y = X) | less(Y, X)) <=> less(X, Y))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y)))), ((less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(139,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> ![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[138])).
% 0.21/0.44 tff(140,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> ![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(141,axiom,(![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less_property')).
% 0.21/0.44 tff(142,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.21/0.44 tff(143,plain,(
% 0.21/0.44 ![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))),
% 0.21/0.44 inference(skolemize,[status(sab)],[142])).
% 0.21/0.44 tff(144,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[143, 139])).
% 0.21/0.44 tff(145,plain,
% 0.21/0.44 (![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[144, 137])).
% 0.21/0.44 tff(146,plain,
% 0.21/0.44 ((~![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))) | (~(((n5 = n6) | less(n5, n6)) <=> less(n6, n5)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(147,plain,
% 0.21/0.44 (~(((n5 = n6) | less(n5, n6)) <=> less(n6, n5))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.21/0.44 tff(148,plain,
% 0.21/0.44 (^[X: $i] : refl((less(X, n6) <=> less_or_equal(X, n5)) <=> (less(X, n6) <=> less_or_equal(X, n5)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(149,plain,
% 0.21/0.44 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5)) <=> ![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[148])).
% 0.21/0.44 tff(150,plain,
% 0.21/0.44 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5)) <=> ![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(151,axiom,(![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less6')).
% 0.21/0.44 tff(152,plain,
% 0.21/0.44 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.21/0.44 tff(153,plain,(
% 0.21/0.44 ![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 0.21/0.44 inference(skolemize,[status(sab)],[152])).
% 0.21/0.44 tff(154,plain,
% 0.21/0.44 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[153, 149])).
% 0.21/0.44 tff(155,plain,
% 0.21/0.44 ((~![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))) | (less(n5, n6) <=> less_or_equal(n5, n5))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(156,plain,
% 0.21/0.44 (less(n5, n6) <=> less_or_equal(n5, n5)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.21/0.44 tff(157,plain,
% 0.21/0.44 (((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n5, n5)) <=> ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n5, n5))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(158,plain,
% 0.21/0.44 ((less_or_equal(n5, n5) <=> $true) <=> less_or_equal(n5, n5)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(159,plain,
% 0.21/0.44 (($true | less(n5, n5)) <=> $true),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(160,plain,
% 0.21/0.44 ((n5 = n5) <=> $true),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(161,plain,
% 0.21/0.44 (((n5 = n5) | less(n5, n5)) <=> ($true | less(n5, n5))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[160])).
% 0.21/0.44 tff(162,plain,
% 0.21/0.44 (((n5 = n5) | less(n5, n5)) <=> $true),
% 0.21/0.44 inference(transitivity,[status(thm)],[161, 159])).
% 0.21/0.44 tff(163,plain,
% 0.21/0.44 ((less_or_equal(n5, n5) <=> ((n5 = n5) | less(n5, n5))) <=> (less_or_equal(n5, n5) <=> $true)),
% 0.21/0.44 inference(monotonicity,[status(thm)],[162])).
% 0.21/0.44 tff(164,plain,
% 0.21/0.44 ((less_or_equal(n5, n5) <=> ((n5 = n5) | less(n5, n5))) <=> less_or_equal(n5, n5)),
% 0.21/0.44 inference(transitivity,[status(thm)],[163, 158])).
% 0.21/0.44 tff(165,plain,
% 0.21/0.44 (((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n5, n5) <=> ((n5 = n5) | less(n5, n5)))) <=> ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n5, n5))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[164])).
% 0.21/0.44 tff(166,plain,
% 0.21/0.44 (((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n5, n5) <=> ((n5 = n5) | less(n5, n5)))) <=> ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n5, n5))),
% 0.21/0.44 inference(transitivity,[status(thm)],[165, 157])).
% 0.21/0.44 tff(167,plain,
% 0.21/0.44 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n5, n5) <=> ((n5 = n5) | less(n5, n5)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(168,plain,
% 0.21/0.44 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n5, n5)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.21/0.44 tff(169,plain,
% 0.21/0.44 (less_or_equal(n5, n5)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[168, 102])).
% 0.21/0.44 tff(170,plain,
% 0.21/0.44 ((~(less(n5, n6) <=> less_or_equal(n5, n5))) | less(n5, n6) | (~less_or_equal(n5, n5))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(171,plain,
% 0.21/0.44 ((~(less(n5, n6) <=> less_or_equal(n5, n5))) | less(n5, n6)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[170, 169])).
% 0.21/0.44 tff(172,plain,
% 0.21/0.44 (less(n5, n6)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[171, 156])).
% 0.21/0.44 tff(173,plain,
% 0.21/0.44 (((n5 = n6) | less(n5, n6)) | (~less(n5, n6))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(174,plain,
% 0.21/0.44 ((n5 = n6) | less(n5, n6)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[173, 172])).
% 0.21/0.44 tff(175,plain,
% 0.21/0.44 ((((n5 = n6) | less(n5, n6)) <=> less(n6, n5)) | (~((n5 = n6) | less(n5, n6))) | (~less(n6, n5))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(176,plain,
% 0.21/0.44 ((((n5 = n6) | less(n5, n6)) <=> less(n6, n5)) | (~less(n6, n5))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[175, 174])).
% 0.21/0.44 tff(177,plain,
% 0.21/0.44 (~less(n6, n5)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[176, 147])).
% 0.21/0.44 tff(178,plain,
% 0.21/0.44 ((~(less(n6, n5) <=> less_or_equal(n6, n4))) | less(n6, n5) | (~less_or_equal(n6, n4))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(179,plain,
% 0.21/0.44 ((~(less(n6, n5) <=> less_or_equal(n6, n4))) | (~less_or_equal(n6, n4))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[178, 177])).
% 0.21/0.44 tff(180,plain,
% 0.21/0.44 (~less_or_equal(n6, n4)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[179, 135])).
% 0.21/0.44 tff(181,plain,
% 0.21/0.44 ((~(less_or_equal(n6, n4) <=> ((n6 = n4) | less(n6, n4)))) | less_or_equal(n6, n4) | (~((n6 = n4) | less(n6, n4)))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(182,plain,
% 0.21/0.44 ((~(less_or_equal(n6, n4) <=> ((n6 = n4) | less(n6, n4)))) | (~((n6 = n4) | less(n6, n4)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[181, 180])).
% 0.21/0.44 tff(183,plain,
% 0.21/0.44 (~((n6 = n4) | less(n6, n4))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[182, 126])).
% 0.21/0.44 tff(184,plain,
% 0.21/0.44 (((n6 = n4) | less(n6, n4)) | (~less(n6, n4))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(185,plain,
% 0.21/0.44 (~less(n6, n4)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.21/0.44 tff(186,plain,
% 0.21/0.44 ((~(less(n6, n4) <=> less_or_equal(n6, n3))) | less(n6, n4) | (~less_or_equal(n6, n3))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(187,plain,
% 0.21/0.44 ((~(less(n6, n4) <=> less_or_equal(n6, n3))) | (~less_or_equal(n6, n3))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.21/0.44 tff(188,plain,
% 0.21/0.44 (~less_or_equal(n6, n3)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[187, 124])).
% 0.21/0.44 tff(189,plain,
% 0.21/0.44 ((~(less_or_equal(n6, n3) <=> ((n6 = n3) | less(n6, n3)))) | less_or_equal(n6, n3) | (~((n6 = n3) | less(n6, n3)))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(190,plain,
% 0.21/0.44 ((~(less_or_equal(n6, n3) <=> ((n6 = n3) | less(n6, n3)))) | (~((n6 = n3) | less(n6, n3)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.21/0.44 tff(191,plain,
% 0.21/0.44 (~((n6 = n3) | less(n6, n3))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 115])).
% 0.21/0.44 tff(192,plain,
% 0.21/0.44 (((n6 = n3) | less(n6, n3)) | (~less(n6, n3))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(193,plain,
% 0.21/0.44 (~less(n6, n3)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[192, 191])).
% 0.21/0.44 tff(194,plain,
% 0.21/0.44 ((~(less(n6, n3) <=> less_or_equal(n6, n2))) | less(n6, n3) | (~less_or_equal(n6, n2))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(195,plain,
% 0.21/0.44 ((~(less(n6, n3) <=> less_or_equal(n6, n2))) | (~less_or_equal(n6, n2))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.21/0.44 tff(196,plain,
% 0.21/0.44 (~less_or_equal(n6, n2)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[195, 113])).
% 0.21/0.44 tff(197,plain,
% 0.21/0.44 ((~(less_or_equal(n6, n2) <=> ((n6 = n2) | less(n6, n2)))) | less_or_equal(n6, n2) | (~((n6 = n2) | less(n6, n2)))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(198,plain,
% 0.21/0.44 ((~(less_or_equal(n6, n2) <=> ((n6 = n2) | less(n6, n2)))) | (~((n6 = n2) | less(n6, n2)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[197, 196])).
% 0.21/0.44 tff(199,plain,
% 0.21/0.44 (~((n6 = n2) | less(n6, n2))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[198, 104])).
% 0.21/0.44 tff(200,plain,
% 0.21/0.44 (((n6 = n2) | less(n6, n2)) | (~(n6 = n2))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(201,plain,
% 0.21/0.44 (~(n6 = n2)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[200, 199])).
% 0.21/0.44 tff(202,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[201, 92])).
% 0.21/0.44 tff(203,plain,(~(n0 = n2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(204,assumption,((n0 = n2) | (n0 = n1) | (pull = push) | (~((~(n0 = n2)) | (~(pull = push))))), introduced(assumption)).
% 0.21/0.44 tff(205,plain,
% 0.21/0.44 ((pull = push) <=> (push = pull)),
% 0.21/0.44 inference(commutativity,[status(thm)],[])).
% 0.21/0.44 tff(206,plain,
% 0.21/0.44 ((push = pull) <=> (pull = push)),
% 0.21/0.44 inference(symmetry,[status(thm)],[205])).
% 0.21/0.44 tff(207,plain,
% 0.21/0.44 ((~(push = pull)) <=> (~(pull = push))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[206])).
% 0.21/0.44 tff(208,plain,
% 0.21/0.44 ((~(push = pull)) <=> (~(push = pull))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(209,axiom,(~(push = pull)), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax','push_not_pull')).
% 0.21/0.44 tff(210,plain,
% 0.21/0.44 (~(push = pull)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.21/0.44 tff(211,plain,
% 0.21/0.44 (~(pull = push)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[210, 207])).
% 0.21/0.44 tff(212,plain,
% 0.21/0.44 (((~(n0 = n2)) | (~(pull = push))) | (pull = push)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(213,plain,
% 0.21/0.44 ((~(n0 = n2)) | (~(pull = push))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[212, 211])).
% 0.21/0.44 tff(214,assumption,(~(n0 = n2)), introduced(assumption)).
% 0.21/0.44 tff(215,plain,
% 0.21/0.44 ((~((n0 = n2) | (n0 = n1) | (pull = push) | (~((~(n0 = n2)) | (~(pull = push)))))) | (n0 = n2) | (n0 = n1) | (pull = push) | (~((~(n0 = n2)) | (~(pull = push))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(216,plain,
% 0.21/0.44 (n0 = n1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[215, 214, 211, 213, 204])).
% 0.21/0.44 tff(217,plain,
% 0.21/0.44 (n1 = n0),
% 0.21/0.44 inference(symmetry,[status(thm)],[216])).
% 0.21/0.44 tff(218,plain,
% 0.21/0.44 (plus(n1, n1) = plus(n0, n0)),
% 0.21/0.44 inference(monotonicity,[status(thm)],[217, 217])).
% 0.21/0.44 tff(219,plain,
% 0.21/0.44 (plus(n0, n0) = plus(n1, n1)),
% 0.21/0.44 inference(symmetry,[status(thm)],[218])).
% 0.21/0.44 tff(220,plain,
% 0.21/0.44 ((plus(n0, n0) = n0) <=> (plus(n0, n0) = n0)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(221,axiom,(plus(n0, n0) = n0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus0_0')).
% 0.21/0.44 tff(222,plain,
% 0.21/0.44 (plus(n0, n0) = n0),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.21/0.44 tff(223,plain,
% 0.21/0.44 (n0 = plus(n0, n0)),
% 0.21/0.44 inference(symmetry,[status(thm)],[222])).
% 0.21/0.45 tff(224,plain,
% 0.21/0.45 (n0 = n2),
% 0.21/0.45 inference(transitivity,[status(thm)],[223, 219, 69])).
% 0.21/0.45 tff(225,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[214, 224])).
% 0.21/0.45 tff(226,plain,((n0 = n2) | (~((n0 = n2) | (n0 = n1) | (pull = push) | (~((~(n0 = n2)) | (~(pull = push))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(227,plain,
% 0.21/0.45 (~((n0 = n2) | (n0 = n1) | (pull = push) | (~((~(n0 = n2)) | (~(pull = push)))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[226, 203])).
% 0.21/0.45 tff(228,plain,
% 0.21/0.45 (((n0 = n2) | (n0 = n1) | (pull = push) | (~((~(n0 = n2)) | (~(pull = push))))) | (~(n0 = n1))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(229,plain,
% 0.21/0.45 (~(n0 = n1)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.21/0.45 tff(230,plain,
% 0.21/0.45 (((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))) | (n0 = n1)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(231,plain,
% 0.21/0.45 ((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~(n0 = n1))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[230, 229])).
% 0.21/0.45 tff(232,plain,
% 0.21/0.45 (((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull))) | (n0 = n2)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(233,plain,
% 0.21/0.45 ((~(n0 = n2)) | (~(tptp_fun_Event_5(n0, spinning) = pull))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[232, 203])).
% 0.21/0.45 tff(234,plain,
% 0.21/0.45 (((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2))) | (n0 = n2)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(235,plain,
% 0.21/0.45 ((~(tptp_fun_Event_5(n0, spinning) = push)) | (~(n0 = n2))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[234, 203])).
% 0.21/0.45 tff(236,plain,
% 0.21/0.45 ((~((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))))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(237,plain,
% 0.21/0.45 ((~((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)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[236, 235, 233, 231])).
% 0.21/0.45 tff(238,plain,
% 0.21/0.45 (tptp_fun_Event_5(n0, spinning) = push),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[237, 66])).
% 0.21/0.45 tff(239,plain,
% 0.21/0.45 ((tptp_fun_Event_5(n0, spinning) = pull) <=> (push = pull)),
% 0.21/0.45 inference(monotonicity,[status(thm)],[238])).
% 0.21/0.45 tff(240,plain,
% 0.21/0.45 ((push = pull) <=> (tptp_fun_Event_5(n0, spinning) = pull)),
% 0.21/0.45 inference(symmetry,[status(thm)],[239])).
% 0.21/0.45 tff(241,plain,
% 0.21/0.45 ((~(push = pull)) <=> (~(tptp_fun_Event_5(n0, spinning) = pull))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[240])).
% 0.21/0.45 tff(242,plain,
% 0.21/0.45 (~(tptp_fun_Event_5(n0, spinning) = pull)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[210, 241])).
% 0.21/0.45 tff(243,plain,
% 0.21/0.45 (((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))) | (tptp_fun_Event_5(n0, spinning) = pull)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(244,plain,
% 0.21/0.45 ((~(tptp_fun_Event_5(n0, spinning) = pull)) | (~happens(push, n0))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[243, 242])).
% 0.21/0.45 tff(245,plain,
% 0.21/0.45 ((~(spinning = backwards)) <=> (~(spinning = backwards))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(246,axiom,(~(spinning = backwards)), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax','spinning_not_backwards')).
% 0.21/0.45 tff(247,plain,
% 0.21/0.45 (~(spinning = backwards)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.21/0.45 tff(248,plain,
% 0.21/0.45 (((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull))) | (spinning = backwards)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(249,plain,
% 0.21/0.45 ((~(spinning = backwards)) | happens(push, n0) | (~(tptp_fun_Event_5(n0, spinning) = pull))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[248, 247])).
% 0.21/0.45 tff(250,plain,
% 0.21/0.45 ((~((~(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))))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(251,plain,
% 0.21/0.45 ((~((~(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))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[250, 249])).
% 0.21/0.45 tff(252,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[251, 244, 41, 32])).
% 0.21/0.45 tff(253,plain,((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(254,plain,
% 0.21/0.45 (holdsAt(spinning, plus(n0, n1)) <=> holdsAt(spinning, n1)),
% 0.21/0.45 inference(monotonicity,[status(thm)],[3])).
% 0.21/0.45 tff(255,plain,
% 0.21/0.45 (holdsAt(spinning, n1) <=> holdsAt(spinning, plus(n0, n1))),
% 0.21/0.45 inference(symmetry,[status(thm)],[254])).
% 0.21/0.45 tff(256,plain,
% 0.21/0.45 (holdsAt(spinning, n1) <=> holdsAt(spinning, n1)),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(257,plain,
% 0.21/0.45 ((~(~holdsAt(spinning, n1))) <=> holdsAt(spinning, n1)),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(258,axiom,(~(~holdsAt(spinning, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_spinning_1')).
% 0.21/0.45 tff(259,plain,
% 0.21/0.45 (holdsAt(spinning, n1)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[258, 257])).
% 0.21/0.45 tff(260,plain,
% 0.21/0.45 (holdsAt(spinning, n1)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[259, 256])).
% 0.21/0.45 tff(261,plain,
% 0.21/0.45 (holdsAt(spinning, plus(n0, n1))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[260, 255])).
% 0.21/0.45 tff(262,plain,
% 0.21/0.45 ((~holdsAt(spinning, n0)) <=> (~holdsAt(spinning, n0))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(263,axiom,(~holdsAt(spinning, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_splinning_0')).
% 0.21/0.45 tff(264,plain,
% 0.21/0.45 (~holdsAt(spinning, n0)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.21/0.45 tff(265,plain,
% 0.21/0.45 (^[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))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(266,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[265])).
% 0.21/0.45 tff(267,plain,
% 0.21/0.45 (^[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)))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(268,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[267])).
% 0.21/0.45 tff(269,plain,
% 0.21/0.45 (^[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))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(270,plain,
% 0.21/0.45 (![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)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[269])).
% 0.21/0.45 tff(271,plain,
% 0.21/0.45 (![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))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(272,plain,
% 0.21/0.45 (^[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))))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(273,plain,
% 0.21/0.45 (![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))))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[272])).
% 0.21/0.45 tff(274,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/sandbox/benchmark/Axioms/CSR001+0.ax','keep_not_holding')).
% 0.21/0.45 tff(275,plain,
% 0.21/0.45 (![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))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[274, 273])).
% 0.21/0.45 tff(276,plain,
% 0.21/0.45 (![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))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[275, 271])).
% 0.21/0.45 tff(277,plain,(
% 0.21/0.45 ![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))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[276])).
% 0.21/0.45 tff(278,plain,
% 0.21/0.45 (![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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[277, 270])).
% 0.21/0.45 tff(279,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[278, 268])).
% 0.21/0.45 tff(280,plain,
% 0.21/0.45 (![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)))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[279, 266])).
% 0.21/0.45 tff(281,plain,
% 0.21/0.45 (((~![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)))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(282,plain,
% 0.21/0.45 ((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)))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(283,plain,
% 0.21/0.45 (((~![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))))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[282])).
% 0.21/0.45 tff(284,plain,
% 0.21/0.45 (((~![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)))))),
% 0.21/0.45 inference(transitivity,[status(thm)],[283, 281])).
% 0.21/0.45 tff(285,plain,
% 0.21/0.45 ((~![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)))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(286,plain,
% 0.21/0.45 ((~![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))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.21/0.45 tff(287,plain,
% 0.21/0.45 (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))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 280, 264])).
% 0.21/0.45 tff(288,plain,
% 0.21/0.45 (releasedAt(spinning, plus(n0, n1)) | (~((~happens(tptp_fun_Event_5(n0, spinning), n0)) | (~initiates(tptp_fun_Event_5(n0, spinning), spinning, n0))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[287, 261])).
% 0.21/0.46 tff(289,plain,
% 0.21/0.46 (releasedAt(spinning, plus(n0, n1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[288, 253])).
% 0.21/0.46 tff(290,plain,
% 0.21/0.46 (releasedAt(spinning, n1)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[289, 6])).
% 0.21/0.46 tff(291,plain,
% 0.21/0.46 (^[Fluent: $i, Time: $i] : refl((~releasedAt(Fluent, Time)) <=> (~releasedAt(Fluent, Time)))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(292,plain,
% 0.21/0.46 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time)) <=> ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[291])).
% 0.21/0.46 tff(293,plain,
% 0.21/0.46 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time)) <=> ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(294,axiom,(![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_releasedAt')).
% 0.21/0.46 tff(295,plain,
% 0.21/0.46 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[294, 293])).
% 0.21/0.46 tff(296,plain,(
% 0.21/0.46 ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.46 inference(skolemize,[status(sab)],[295])).
% 0.21/0.46 tff(297,plain,
% 0.21/0.46 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[296, 292])).
% 0.21/0.46 tff(298,plain,
% 0.21/0.46 ((~![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))) | (~releasedAt(spinning, n1))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(299,plain,
% 0.21/0.46 (~releasedAt(spinning, n1)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[298, 297])).
% 0.21/0.46 tff(300,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[299, 290])).
% 0.21/0.46 % SZS output end Proof
% 0.21/0.46 % E exiting
%------------------------------------------------------------------------------