%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR021+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 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 51.95s 52.17s
% Output : Proof 51.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR021+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 12:27:11 EDT 2025
% 0.12/0.34 % CPUTime :
% 51.95/52.17 % SZS status Theorem
% 51.95/52.17 % SZS output start Proof
% 51.95/52.17 tff(terminates_type, type, (
% 51.95/52.17 terminates: ( $i * $i * $i ) > $o)).
% 51.95/52.17 tff(n2_type, type, (
% 51.95/52.17 n2: $i)).
% 51.95/52.17 tff(backwards_type, type, (
% 51.95/52.17 backwards: $i)).
% 51.95/52.17 tff(pull_type, type, (
% 51.95/52.17 pull: $i)).
% 51.95/52.17 tff(push_type, type, (
% 51.95/52.17 push: $i)).
% 51.95/52.17 tff(spinning_type, type, (
% 51.95/52.17 spinning: $i)).
% 51.95/52.17 tff(happens_type, type, (
% 51.95/52.17 happens: ( $i * $i ) > $o)).
% 51.95/52.17 tff(forwards_type, type, (
% 51.95/52.17 forwards: $i)).
% 51.95/52.17 tff(n0_type, type, (
% 51.95/52.17 n0: $i)).
% 51.95/52.17 tff(n1_type, type, (
% 51.95/52.17 n1: $i)).
% 51.95/52.17 tff(holdsAt_type, type, (
% 51.95/52.17 holdsAt: ( $i * $i ) > $o)).
% 51.95/52.17 tff(plus_type, type, (
% 51.95/52.17 plus: ( $i * $i ) > $i)).
% 51.95/52.17 tff(n3_type, type, (
% 51.95/52.17 n3: $i)).
% 51.95/52.17 tff(1,plain,
% 51.95/52.17 (^[Event: $i, Fluent: $i, Time: $i] : refl((terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning)))))) <=> (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning)))))))),
% 51.95/52.17 inference(bind,[status(th)],[])).
% 51.95/52.17 tff(2,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning)))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 51.95/52.17 inference(quant_intro,[status(thm)],[1])).
% 51.95/52.17 tff(3,plain,
% 51.95/52.17 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time))))) <=> (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning)))))))),
% 51.95/52.17 inference(bind,[status(th)],[])).
% 51.95/52.17 tff(4,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 51.95/52.17 inference(quant_intro,[status(thm)],[3])).
% 51.95/52.17 tff(5,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time)))))),
% 51.95/52.17 inference(rewrite,[status(thm)],[])).
% 51.95/52.17 tff(6,plain,
% 51.95/52.17 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((terminates(Event, Fluent, Time) <=> ((((((((Event = push) & (Fluent = backwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = forwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = forwards)) & happens(push, Time))) | (((Event = pull) & (Fluent = backwards)) & happens(push, Time))) | (((Event = push) & (Fluent = spinning)) & (~happens(pull, Time)))) | (((Event = pull) & (Fluent = spinning)) & (~happens(push, Time))))) <=> (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time))))))),
% 51.95/52.17 inference(bind,[status(th)],[])).
% 51.95/52.17 tff(7,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((((((((Event = push) & (Fluent = backwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = forwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = forwards)) & happens(push, Time))) | (((Event = pull) & (Fluent = backwards)) & happens(push, Time))) | (((Event = push) & (Fluent = spinning)) & (~happens(pull, Time)))) | (((Event = pull) & (Fluent = spinning)) & (~happens(push, Time))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time)))))),
% 51.95/52.17 inference(quant_intro,[status(thm)],[6])).
% 51.95/52.17 tff(8,axiom,(![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((((((((Event = push) & (Fluent = backwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = forwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = forwards)) & happens(push, Time))) | (((Event = pull) & (Fluent = backwards)) & happens(push, Time))) | (((Event = push) & (Fluent = spinning)) & (~happens(pull, Time)))) | (((Event = pull) & (Fluent = spinning)) & (~happens(push, Time)))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','terminates_all_defn')).
% 51.95/52.17 tff(9,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time)))))),
% 51.95/52.17 inference(modus_ponens,[status(thm)],[8, 7])).
% 51.95/52.17 tff(10,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time)))))),
% 51.95/52.17 inference(modus_ponens,[status(thm)],[9, 5])).
% 51.95/52.17 tff(11,plain,(
% 51.95/52.17 ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = backwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = forwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = forwards) & happens(push, Time)) | ((Event = pull) & (Fluent = backwards) & happens(push, Time)) | ((Event = push) & (Fluent = spinning) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = spinning) & (~happens(push, Time)))))),
% 51.95/52.17 inference(skolemize,[status(sab)],[10])).
% 51.95/52.17 tff(12,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 51.95/52.17 inference(modus_ponens,[status(thm)],[11, 4])).
% 51.95/52.17 tff(13,plain,
% 51.95/52.17 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 51.95/52.17 inference(modus_ponens,[status(thm)],[12, 2])).
% 51.95/52.17 tff(14,plain,
% 51.95/52.17 (((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push)))))))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(15,plain,
% 51.95/52.18 ((terminates(pull, backwards, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(backwards = backwards)))) | (~(happens(push, n2) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(backwards = backwards)))) | (~(happens(pull, n2) | (~(pull = push)) | (~(backwards = spinning)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(backwards = spinning)))))) <=> (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(16,plain,
% 51.95/52.18 (((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(backwards = backwards)))) | (~(happens(push, n2) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(backwards = backwards)))) | (~(happens(pull, n2) | (~(pull = push)) | (~(backwards = spinning)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(backwards = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push)))))))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[15])).
% 51.95/52.18 tff(17,plain,
% 51.95/52.18 (((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(backwards = backwards)))) | (~(happens(push, n2) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(backwards = backwards)))) | (~(happens(pull, n2) | (~(pull = push)) | (~(backwards = spinning)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(backwards = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push)))))))),
% 51.95/52.18 inference(transitivity,[status(thm)],[16, 14])).
% 51.95/52.18 tff(18,plain,
% 51.95/52.18 ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(backwards = backwards)))) | (~(happens(push, n2) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(backwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(backwards = backwards)))) | (~(happens(pull, n2) | (~(pull = push)) | (~(backwards = spinning)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(backwards = spinning))))))),
% 51.95/52.18 inference(quant_inst,[status(thm)],[])).
% 51.95/52.18 tff(19,plain,
% 51.95/52.18 ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))))),
% 51.95/52.18 inference(modus_ponens,[status(thm)],[18, 17])).
% 51.95/52.18 tff(20,plain,
% 51.95/52.18 (terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push)))))),
% 51.95/52.18 inference(unit_resolution,[status(thm)],[19, 13])).
% 51.95/52.18 tff(21,assumption,(~happens(push, n2)), introduced(assumption)).
% 51.95/52.18 tff(22,plain,
% 51.95/52.18 (^[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)))))))),
% 51.95/52.18 inference(bind,[status(th)],[])).
% 51.95/52.18 tff(23,plain,
% 51.95/52.18 (![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))))))),
% 51.95/52.18 inference(quant_intro,[status(thm)],[22])).
% 51.95/52.18 tff(24,plain,
% 51.95/52.18 (^[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)))))))),
% 51.95/52.18 inference(bind,[status(th)],[])).
% 51.95/52.18 tff(25,plain,
% 51.95/52.18 (![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))))))),
% 51.95/52.18 inference(quant_intro,[status(thm)],[24])).
% 51.95/52.18 tff(26,plain,
% 51.95/52.18 (![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))))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(27,plain,
% 51.95/52.18 (^[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)))))),
% 51.95/52.18 inference(bind,[status(th)],[])).
% 51.95/52.18 tff(28,plain,
% 51.95/52.18 (![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))))),
% 51.95/52.18 inference(quant_intro,[status(thm)],[27])).
% 51.95/52.18 tff(29,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')).
% 51.95/52.18 tff(30,plain,
% 51.95/52.18 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 51.95/52.18 inference(modus_ponens,[status(thm)],[29, 28])).
% 51.95/52.18 tff(31,plain,
% 51.95/52.18 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 51.95/52.18 inference(modus_ponens,[status(thm)],[30, 26])).
% 51.95/52.18 tff(32,plain,(
% 51.95/52.18 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 51.95/52.18 inference(skolemize,[status(sab)],[31])).
% 51.95/52.18 tff(33,plain,
% 51.95/52.18 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 51.95/52.18 inference(modus_ponens,[status(thm)],[32, 25])).
% 51.95/52.18 tff(34,plain,
% 51.95/52.18 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 51.95/52.18 inference(modus_ponens,[status(thm)],[33, 23])).
% 51.95/52.18 tff(35,plain,
% 51.95/52.18 (((~![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, n2)) <=> ((~![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, n2))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(36,plain,
% 51.95/52.18 ((happens(push, n2) <=> $true) <=> happens(push, n2)),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(37,plain,
% 51.95/52.18 (($true | (push = pull) | (~((~(push = pull)) | (~(n2 = n1)))) | (n2 = n0)) <=> $true),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(38,plain,
% 51.95/52.18 ((~(~(n2 = n0))) <=> (n2 = n0)),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(39,plain,
% 51.95/52.18 (($false | (~(n2 = n0))) <=> (~(n2 = n0))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(40,plain,
% 51.95/52.18 ((~$true) <=> $false),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(41,plain,
% 51.95/52.18 ((push = push) <=> $true),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(42,plain,
% 51.95/52.18 ((~(push = push)) <=> (~$true)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[41])).
% 51.95/52.18 tff(43,plain,
% 51.95/52.18 ((~(push = push)) <=> $false),
% 51.95/52.18 inference(transitivity,[status(thm)],[42, 40])).
% 51.95/52.18 tff(44,plain,
% 51.95/52.18 (((~(push = push)) | (~(n2 = n0))) <=> ($false | (~(n2 = n0)))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[43])).
% 51.95/52.18 tff(45,plain,
% 51.95/52.18 (((~(push = push)) | (~(n2 = n0))) <=> (~(n2 = n0))),
% 51.95/52.18 inference(transitivity,[status(thm)],[44, 39])).
% 51.95/52.18 tff(46,plain,
% 51.95/52.18 ((~((~(push = push)) | (~(n2 = n0)))) <=> (~(~(n2 = n0)))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[45])).
% 51.95/52.18 tff(47,plain,
% 51.95/52.18 ((~((~(push = push)) | (~(n2 = n0)))) <=> (n2 = n0)),
% 51.95/52.18 inference(transitivity,[status(thm)],[46, 38])).
% 51.95/52.18 tff(48,plain,
% 51.95/52.18 ((~((~(push = pull)) | (~(n2 = n1)))) <=> (~((~(push = pull)) | (~(n2 = n1))))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(49,plain,
% 51.95/52.18 ((~(~(push = pull))) <=> (push = pull)),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(50,plain,
% 51.95/52.18 (($false | (~(push = pull))) <=> (~(push = pull))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(51,plain,
% 51.95/52.18 ((n2 = n2) <=> $true),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(52,plain,
% 51.95/52.18 ((~(n2 = n2)) <=> (~$true)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[51])).
% 51.95/52.18 tff(53,plain,
% 51.95/52.18 ((~(n2 = n2)) <=> $false),
% 51.95/52.18 inference(transitivity,[status(thm)],[52, 40])).
% 51.95/52.18 tff(54,plain,
% 51.95/52.18 (((~(n2 = n2)) | (~(push = pull))) <=> ($false | (~(push = pull)))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[53])).
% 51.95/52.18 tff(55,plain,
% 51.95/52.18 (((~(n2 = n2)) | (~(push = pull))) <=> (~(push = pull))),
% 51.95/52.18 inference(transitivity,[status(thm)],[54, 50])).
% 51.95/52.18 tff(56,plain,
% 51.95/52.18 ((~((~(n2 = n2)) | (~(push = pull)))) <=> (~(~(push = pull)))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[55])).
% 51.95/52.18 tff(57,plain,
% 51.95/52.18 ((~((~(n2 = n2)) | (~(push = pull)))) <=> (push = pull)),
% 51.95/52.18 inference(transitivity,[status(thm)],[56, 49])).
% 51.95/52.18 tff(58,plain,
% 51.95/52.18 ((~$false) <=> $true),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(59,plain,
% 51.95/52.18 (($false | $false) <=> $false),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(60,plain,
% 51.95/52.18 (((~(push = push)) | (~(n2 = n2))) <=> ($false | $false)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[43, 53])).
% 51.95/52.18 tff(61,plain,
% 51.95/52.18 (((~(push = push)) | (~(n2 = n2))) <=> $false),
% 51.95/52.18 inference(transitivity,[status(thm)],[60, 59])).
% 51.95/52.18 tff(62,plain,
% 51.95/52.18 ((~((~(push = push)) | (~(n2 = n2)))) <=> (~$false)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[61])).
% 51.95/52.18 tff(63,plain,
% 51.95/52.18 ((~((~(push = push)) | (~(n2 = n2)))) <=> $true),
% 51.95/52.18 inference(transitivity,[status(thm)],[62, 58])).
% 51.95/52.18 tff(64,plain,
% 51.95/52.18 (((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))) <=> ($true | (push = pull) | (~((~(push = pull)) | (~(n2 = n1)))) | (n2 = n0))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[63, 57, 48, 47])).
% 51.95/52.18 tff(65,plain,
% 51.95/52.18 (((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))) <=> $true),
% 51.95/52.18 inference(transitivity,[status(thm)],[64, 37])).
% 51.95/52.18 tff(66,plain,
% 51.95/52.18 ((happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0)))))) <=> (happens(push, n2) <=> $true)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[65])).
% 51.95/52.18 tff(67,plain,
% 51.95/52.18 ((happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0)))))) <=> happens(push, n2)),
% 51.95/52.18 inference(transitivity,[status(thm)],[66, 36])).
% 51.95/52.18 tff(68,plain,
% 51.95/52.18 (((~![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, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = 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, n2))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[67])).
% 51.95/52.18 tff(69,plain,
% 51.95/52.18 (((~![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, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = 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, n2))),
% 51.95/52.18 inference(transitivity,[status(thm)],[68, 35])).
% 51.95/52.18 tff(70,plain,
% 51.95/52.18 ((~![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, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))))),
% 51.95/52.18 inference(quant_inst,[status(thm)],[])).
% 51.95/52.18 tff(71,plain,
% 51.95/52.18 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(push, n2)),
% 51.95/52.18 inference(modus_ponens,[status(thm)],[70, 69])).
% 51.95/52.18 tff(72,plain,
% 51.95/52.18 ($false),
% 51.95/52.18 inference(unit_resolution,[status(thm)],[71, 34, 21])).
% 51.95/52.18 tff(73,plain,(happens(push, n2)), inference(lemma,lemma(discharge,[]))).
% 51.95/52.18 tff(74,plain,
% 51.95/52.18 ((happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))) | (~happens(push, n2))),
% 51.95/52.18 inference(tautology,[status(thm)],[])).
% 51.95/52.18 tff(75,plain,
% 51.95/52.18 (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))),
% 51.95/52.18 inference(unit_resolution,[status(thm)],[74, 73])).
% 51.95/52.18 tff(76,plain,
% 51.95/52.18 ((~(terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))))) | terminates(pull, backwards, n2) | (~(happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))))),
% 51.95/52.18 inference(tautology,[status(thm)],[])).
% 51.95/52.18 tff(77,plain,
% 51.95/52.18 ((~(terminates(pull, backwards, n2) <=> (happens(push, n2) | (~(happens(pull, n2) | (~(pull = push)))) | (~((~(backwards = forwards)) | (~happens(push, n2)))) | (~((~(backwards = forwards)) | happens(push, n2))) | (~(happens(push, n2) | (~(backwards = spinning)))) | (~(happens(pull, n2) | (~(backwards = spinning)) | (~(pull = push))))))) | terminates(pull, backwards, n2)),
% 51.95/52.18 inference(unit_resolution,[status(thm)],[76, 75])).
% 51.95/52.18 tff(78,plain,
% 51.95/52.18 (terminates(pull, backwards, n2)),
% 51.95/52.18 inference(unit_resolution,[status(thm)],[77, 20])).
% 51.95/52.18 tff(79,assumption,(~happens(pull, n2)), introduced(assumption)).
% 51.95/52.18 tff(80,plain,
% 51.95/52.18 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n2)) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n2))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(81,plain,
% 51.95/52.18 ((happens(pull, n2) <=> $true) <=> happens(pull, n2)),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(82,plain,
% 51.95/52.18 (((pull = push) | $true | (n2 = n1) | (~((~(n2 = n0)) | (~(pull = push))))) <=> $true),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(83,plain,
% 51.95/52.18 ((~((~(pull = push)) | (~(n2 = n0)))) <=> (~((~(n2 = n0)) | (~(pull = push))))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(84,plain,
% 51.95/52.18 ((~(~(n2 = n1))) <=> (n2 = n1)),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(85,plain,
% 51.95/52.18 (($false | (~(n2 = n1))) <=> (~(n2 = n1))),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(86,plain,
% 51.95/52.18 ((pull = pull) <=> $true),
% 51.95/52.18 inference(rewrite,[status(thm)],[])).
% 51.95/52.18 tff(87,plain,
% 51.95/52.18 ((~(pull = pull)) <=> (~$true)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[86])).
% 51.95/52.18 tff(88,plain,
% 51.95/52.18 ((~(pull = pull)) <=> $false),
% 51.95/52.18 inference(transitivity,[status(thm)],[87, 40])).
% 51.95/52.18 tff(89,plain,
% 51.95/52.18 (((~(pull = pull)) | (~(n2 = n1))) <=> ($false | (~(n2 = n1)))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[88])).
% 51.95/52.18 tff(90,plain,
% 51.95/52.18 (((~(pull = pull)) | (~(n2 = n1))) <=> (~(n2 = n1))),
% 51.95/52.18 inference(transitivity,[status(thm)],[89, 85])).
% 51.95/52.18 tff(91,plain,
% 51.95/52.18 ((~((~(pull = pull)) | (~(n2 = n1)))) <=> (~(~(n2 = n1)))),
% 51.95/52.18 inference(monotonicity,[status(thm)],[90])).
% 51.95/52.18 tff(92,plain,
% 51.95/52.18 ((~((~(pull = pull)) | (~(n2 = n1)))) <=> (n2 = n1)),
% 51.95/52.18 inference(transitivity,[status(thm)],[91, 84])).
% 51.95/52.18 tff(93,plain,
% 51.95/52.18 (((~(n2 = n2)) | (~(pull = pull))) <=> ($false | $false)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[53, 88])).
% 51.95/52.18 tff(94,plain,
% 51.95/52.18 (((~(n2 = n2)) | (~(pull = pull))) <=> $false),
% 51.95/52.18 inference(transitivity,[status(thm)],[93, 59])).
% 51.95/52.18 tff(95,plain,
% 51.95/52.18 ((~((~(n2 = n2)) | (~(pull = pull)))) <=> (~$false)),
% 51.95/52.18 inference(monotonicity,[status(thm)],[94])).
% 51.95/52.18 tff(96,plain,
% 51.95/52.18 ((~((~(n2 = n2)) | (~(pull = pull)))) <=> $true),
% 51.95/52.19 inference(transitivity,[status(thm)],[95, 58])).
% 51.95/52.19 tff(97,plain,
% 51.95/52.19 ((~(~(pull = push))) <=> (pull = push)),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(98,plain,
% 51.95/52.19 (((~(pull = push)) | $false) <=> (~(pull = push))),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(99,plain,
% 51.95/52.19 (((~(pull = push)) | (~(n2 = n2))) <=> ((~(pull = push)) | $false)),
% 51.95/52.19 inference(monotonicity,[status(thm)],[53])).
% 51.95/52.19 tff(100,plain,
% 51.95/52.19 (((~(pull = push)) | (~(n2 = n2))) <=> (~(pull = push))),
% 51.95/52.19 inference(transitivity,[status(thm)],[99, 98])).
% 51.95/52.19 tff(101,plain,
% 51.95/52.19 ((~((~(pull = push)) | (~(n2 = n2)))) <=> (~(~(pull = push)))),
% 51.95/52.19 inference(monotonicity,[status(thm)],[100])).
% 51.95/52.19 tff(102,plain,
% 51.95/52.19 ((~((~(pull = push)) | (~(n2 = n2)))) <=> (pull = push)),
% 51.95/52.19 inference(transitivity,[status(thm)],[101, 97])).
% 51.95/52.19 tff(103,plain,
% 51.95/52.19 (((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))) <=> ((pull = push) | $true | (n2 = n1) | (~((~(n2 = n0)) | (~(pull = push)))))),
% 51.95/52.19 inference(monotonicity,[status(thm)],[102, 96, 92, 83])).
% 51.95/52.19 tff(104,plain,
% 51.95/52.19 (((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))) <=> $true),
% 51.95/52.19 inference(transitivity,[status(thm)],[103, 82])).
% 51.95/52.19 tff(105,plain,
% 51.95/52.19 ((happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0)))))) <=> (happens(pull, n2) <=> $true)),
% 51.95/52.19 inference(monotonicity,[status(thm)],[104])).
% 51.95/52.19 tff(106,plain,
% 51.95/52.19 ((happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0)))))) <=> happens(pull, n2)),
% 51.95/52.19 inference(transitivity,[status(thm)],[105, 81])).
% 51.95/52.19 tff(107,plain,
% 51.95/52.19 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = 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(pull, n2))),
% 51.95/52.19 inference(monotonicity,[status(thm)],[106])).
% 51.95/52.19 tff(108,plain,
% 51.95/52.19 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = 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(pull, n2))),
% 51.95/52.19 inference(transitivity,[status(thm)],[107, 80])).
% 51.95/52.19 tff(109,plain,
% 51.95/52.19 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))))),
% 51.95/52.19 inference(quant_inst,[status(thm)],[])).
% 51.95/52.19 tff(110,plain,
% 51.95/52.19 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n2)),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[109, 108])).
% 51.95/52.19 tff(111,plain,
% 51.95/52.19 ($false),
% 51.95/52.19 inference(unit_resolution,[status(thm)],[110, 34, 79])).
% 51.95/52.19 tff(112,plain,(happens(pull, n2)), inference(lemma,lemma(discharge,[]))).
% 51.95/52.19 tff(113,plain,
% 51.95/52.19 ((plus(n1, n2) = n3) <=> (plus(n1, n2) = n3)),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(114,axiom,(plus(n1, n2) = n3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','plus1_2')).
% 51.95/52.19 tff(115,plain,
% 51.95/52.19 (plus(n1, n2) = n3),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[114, 113])).
% 51.95/52.19 tff(116,plain,
% 51.95/52.19 (^[X: $i, Y: $i] : refl((plus(X, Y) = plus(Y, X)) <=> (plus(X, Y) = plus(Y, X)))),
% 51.95/52.19 inference(bind,[status(th)],[])).
% 51.95/52.19 tff(117,plain,
% 51.95/52.19 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 51.95/52.19 inference(quant_intro,[status(thm)],[116])).
% 51.95/52.19 tff(118,plain,
% 51.95/52.19 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(119,axiom,(![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','symmetry_of_plus')).
% 51.95/52.19 tff(120,plain,
% 51.95/52.19 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[119, 118])).
% 51.95/52.19 tff(121,plain,(
% 51.95/52.19 ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 51.95/52.19 inference(skolemize,[status(sab)],[120])).
% 51.95/52.19 tff(122,plain,
% 51.95/52.19 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[121, 117])).
% 51.95/52.19 tff(123,plain,
% 51.95/52.19 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, n2) = plus(n2, n1))),
% 51.95/52.19 inference(quant_inst,[status(thm)],[])).
% 51.95/52.19 tff(124,plain,
% 51.95/52.19 (plus(n1, n2) = plus(n2, n1)),
% 51.95/52.19 inference(unit_resolution,[status(thm)],[123, 122])).
% 51.95/52.19 tff(125,plain,
% 51.95/52.19 (plus(n2, n1) = plus(n1, n2)),
% 51.95/52.19 inference(symmetry,[status(thm)],[124])).
% 51.95/52.19 tff(126,plain,
% 51.95/52.19 (plus(n2, n1) = n3),
% 51.95/52.19 inference(transitivity,[status(thm)],[125, 115])).
% 51.95/52.19 tff(127,plain,
% 51.95/52.19 (holdsAt(backwards, plus(n2, n1)) <=> holdsAt(backwards, n3)),
% 51.95/52.19 inference(monotonicity,[status(thm)],[126])).
% 51.95/52.19 tff(128,plain,
% 51.95/52.19 (holdsAt(backwards, n3) <=> holdsAt(backwards, plus(n2, n1))),
% 51.95/52.19 inference(symmetry,[status(thm)],[127])).
% 51.95/52.19 tff(129,plain,
% 51.95/52.19 (holdsAt(backwards, n3) <=> holdsAt(backwards, n3)),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(130,plain,
% 51.95/52.19 ((~(~holdsAt(backwards, n3))) <=> holdsAt(backwards, n3)),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(131,axiom,(~(~holdsAt(backwards, n3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_backwards_3')).
% 51.95/52.19 tff(132,plain,
% 51.95/52.19 (holdsAt(backwards, n3)),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[131, 130])).
% 51.95/52.19 tff(133,plain,
% 51.95/52.19 (holdsAt(backwards, n3)),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[132, 129])).
% 51.95/52.19 tff(134,plain,
% 51.95/52.19 (holdsAt(backwards, plus(n2, n1))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[133, 128])).
% 51.95/52.19 tff(135,plain,
% 51.95/52.19 (^[Event: $i, Time: $i, Fluent: $i] : refl(((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))),
% 51.95/52.19 inference(bind,[status(th)],[])).
% 51.95/52.19 tff(136,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 51.95/52.19 inference(quant_intro,[status(thm)],[135])).
% 51.95/52.19 tff(137,plain,
% 51.95/52.19 (^[Event: $i, Time: $i, Fluent: $i] : trans(monotonicity(trans(monotonicity(rewrite((happens(Event, Time) & terminates(Event, Fluent, Time)) <=> (~((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))), ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) <=> (~(~((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))))), rewrite((~(~((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))) <=> ((~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))), ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) <=> ((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))), (((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> (((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))))), rewrite((((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))), (((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))))),
% 51.95/52.19 inference(bind,[status(th)],[])).
% 51.95/52.19 tff(138,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 51.95/52.19 inference(quant_intro,[status(thm)],[137])).
% 51.95/52.19 tff(139,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(140,plain,
% 51.95/52.19 (^[Event: $i, Time: $i, Fluent: $i] : rewrite(((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))))),
% 51.95/52.19 inference(bind,[status(th)],[])).
% 51.95/52.19 tff(141,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 51.95/52.19 inference(quant_intro,[status(thm)],[140])).
% 51.95/52.19 tff(142,axiom,(![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax','happens_terminates_not_holds')).
% 51.95/52.19 tff(143,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[142, 141])).
% 51.95/52.19 tff(144,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[143, 139])).
% 51.95/52.19 tff(145,plain,(
% 51.95/52.19 ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 51.95/52.19 inference(skolemize,[status(sab)],[144])).
% 51.95/52.19 tff(146,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[145, 138])).
% 51.95/52.19 tff(147,plain,
% 51.95/52.19 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[146, 136])).
% 51.95/52.19 tff(148,plain,
% 51.95/52.19 (((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | ((~holdsAt(backwards, plus(n2, n1))) | (~happens(pull, n2)) | (~terminates(pull, backwards, n2)))) <=> ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | (~holdsAt(backwards, plus(n2, n1))) | (~happens(pull, n2)) | (~terminates(pull, backwards, n2)))),
% 51.95/52.19 inference(rewrite,[status(thm)],[])).
% 51.95/52.19 tff(149,plain,
% 51.95/52.19 ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | ((~holdsAt(backwards, plus(n2, n1))) | (~happens(pull, n2)) | (~terminates(pull, backwards, n2)))),
% 51.95/52.19 inference(quant_inst,[status(thm)],[])).
% 51.95/52.19 tff(150,plain,
% 51.95/52.19 ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | (~holdsAt(backwards, plus(n2, n1))) | (~happens(pull, n2)) | (~terminates(pull, backwards, n2))),
% 51.95/52.19 inference(modus_ponens,[status(thm)],[149, 148])).
% 51.95/52.19 tff(151,plain,
% 51.95/52.19 ($false),
% 51.95/52.19 inference(unit_resolution,[status(thm)],[150, 147, 134, 112, 78])).
% 51.95/52.19 % SZS output end Proof
% 51.95/52.19 % E exiting
%------------------------------------------------------------------------------