%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR019+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:14 AM UTC 2025
% Result : Theorem 10.34s 10.58s
% Output : Proof 10.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : CSR019+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.11/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 12:28:56 EDT 2025
% 0.11/0.33 % CPUTime :
% 10.34/10.58 % SZS status Theorem
% 10.34/10.58 % SZS output start Proof
% 10.34/10.58 tff(terminates_type, type, (
% 10.34/10.58 terminates: ( $i * $i * $i ) > $o)).
% 10.34/10.58 tff(n1_type, type, (
% 10.34/10.58 n1: $i)).
% 10.34/10.58 tff(forwards_type, type, (
% 10.34/10.58 forwards: $i)).
% 10.34/10.58 tff(pull_type, type, (
% 10.34/10.58 pull: $i)).
% 10.34/10.58 tff(spinning_type, type, (
% 10.34/10.58 spinning: $i)).
% 10.34/10.58 tff(happens_type, type, (
% 10.34/10.58 happens: ( $i * $i ) > $o)).
% 10.34/10.58 tff(push_type, type, (
% 10.34/10.58 push: $i)).
% 10.34/10.58 tff(backwards_type, type, (
% 10.34/10.58 backwards: $i)).
% 10.34/10.58 tff(n0_type, type, (
% 10.34/10.58 n0: $i)).
% 10.34/10.58 tff(n2_type, type, (
% 10.34/10.58 n2: $i)).
% 10.34/10.58 tff(holdsAt_type, type, (
% 10.34/10.58 holdsAt: ( $i * $i ) > $o)).
% 10.34/10.58 tff(plus_type, type, (
% 10.34/10.58 plus: ( $i * $i ) > $i)).
% 10.34/10.58 tff(1,assumption,(~terminates(pull, forwards, n1)), introduced(assumption)).
% 10.34/10.58 tff(2,plain,
% 10.34/10.58 (^[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)))))))),
% 10.34/10.58 inference(bind,[status(th)],[])).
% 10.34/10.58 tff(3,plain,
% 10.34/10.58 (![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))))))),
% 10.34/10.58 inference(quant_intro,[status(thm)],[2])).
% 10.34/10.58 tff(4,plain,
% 10.34/10.58 (^[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)))))))),
% 10.34/10.58 inference(bind,[status(th)],[])).
% 10.34/10.58 tff(5,plain,
% 10.34/10.58 (![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))))))),
% 10.34/10.58 inference(quant_intro,[status(thm)],[4])).
% 10.34/10.58 tff(6,plain,
% 10.34/10.58 (![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)))))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(7,plain,
% 10.34/10.58 (^[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))))))),
% 10.34/10.58 inference(bind,[status(th)],[])).
% 10.34/10.58 tff(8,plain,
% 10.34/10.58 (![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)))))),
% 10.34/10.58 inference(quant_intro,[status(thm)],[7])).
% 10.34/10.58 tff(9,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/sandbox/benchmark/Axioms/CSR001+2.ax','terminates_all_defn')).
% 10.34/10.58 tff(10,plain,
% 10.34/10.58 (![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)))))),
% 10.34/10.58 inference(modus_ponens,[status(thm)],[9, 8])).
% 10.34/10.58 tff(11,plain,
% 10.34/10.58 (![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)))))),
% 10.34/10.58 inference(modus_ponens,[status(thm)],[10, 6])).
% 10.34/10.58 tff(12,plain,(
% 10.34/10.58 ![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)))))),
% 10.34/10.58 inference(skolemize,[status(sab)],[11])).
% 10.34/10.58 tff(13,plain,
% 10.34/10.58 (![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))))))),
% 10.34/10.58 inference(modus_ponens,[status(thm)],[12, 5])).
% 10.34/10.58 tff(14,plain,
% 10.34/10.58 (![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))))))),
% 10.34/10.58 inference(modus_ponens,[status(thm)],[13, 3])).
% 10.34/10.58 tff(15,plain,
% 10.34/10.58 (((~![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, forwards, n1)) <=> ((~![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, forwards, n1))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(16,plain,
% 10.34/10.58 ((terminates(pull, forwards, n1) <=> $true) <=> terminates(pull, forwards, n1)),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(17,plain,
% 10.34/10.58 (((~((~(forwards = backwards)) | (~(pull = push)) | happens(pull, n1))) | (~happens(push, n1)) | happens(push, n1) | (~((~(forwards = backwards)) | (~happens(push, n1)))) | (~((~(forwards = spinning)) | (~(pull = push)) | happens(pull, n1))) | (~((~(forwards = spinning)) | happens(push, n1)))) <=> $true),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(18,plain,
% 10.34/10.58 ((~(happens(push, n1) | (~(pull = pull)) | (~(forwards = spinning)))) <=> (~((~(forwards = spinning)) | happens(push, n1)))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(19,plain,
% 10.34/10.58 ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) <=> (~((~(forwards = spinning)) | (~(pull = push)) | happens(pull, n1)))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(20,plain,
% 10.34/10.58 ((~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) <=> (~((~(forwards = backwards)) | (~happens(push, n1))))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(21,plain,
% 10.34/10.58 ((~(~happens(push, n1))) <=> happens(push, n1)),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(22,plain,
% 10.34/10.58 (((~happens(push, n1)) | $false | $false) <=> (~happens(push, n1))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(23,plain,
% 10.34/10.58 ((~$true) <=> $false),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(24,plain,
% 10.34/10.58 ((pull = pull) <=> $true),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(25,plain,
% 10.34/10.58 ((~(pull = pull)) <=> (~$true)),
% 10.34/10.58 inference(monotonicity,[status(thm)],[24])).
% 10.34/10.58 tff(26,plain,
% 10.34/10.58 ((~(pull = pull)) <=> $false),
% 10.34/10.58 inference(transitivity,[status(thm)],[25, 23])).
% 10.34/10.58 tff(27,plain,
% 10.34/10.58 ((forwards = forwards) <=> $true),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(28,plain,
% 10.34/10.58 ((~(forwards = forwards)) <=> (~$true)),
% 10.34/10.58 inference(monotonicity,[status(thm)],[27])).
% 10.34/10.58 tff(29,plain,
% 10.34/10.58 ((~(forwards = forwards)) <=> $false),
% 10.34/10.58 inference(transitivity,[status(thm)],[28, 23])).
% 10.34/10.58 tff(30,plain,
% 10.34/10.58 (((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull))) <=> ((~happens(push, n1)) | $false | $false)),
% 10.34/10.58 inference(monotonicity,[status(thm)],[29, 26])).
% 10.34/10.58 tff(31,plain,
% 10.34/10.58 (((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull))) <=> (~happens(push, n1))),
% 10.34/10.58 inference(transitivity,[status(thm)],[30, 22])).
% 10.34/10.58 tff(32,plain,
% 10.34/10.58 ((~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) <=> (~(~happens(push, n1)))),
% 10.34/10.58 inference(monotonicity,[status(thm)],[31])).
% 10.34/10.58 tff(33,plain,
% 10.34/10.58 ((~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) <=> happens(push, n1)),
% 10.34/10.58 inference(transitivity,[status(thm)],[32, 21])).
% 10.34/10.58 tff(34,plain,
% 10.34/10.58 ((~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) <=> (~happens(push, n1))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(35,plain,
% 10.34/10.58 ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) <=> (~((~(forwards = backwards)) | (~(pull = push)) | happens(pull, n1)))),
% 10.34/10.58 inference(rewrite,[status(thm)],[])).
% 10.34/10.58 tff(36,plain,
% 10.34/10.58 (((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = spinning))))) <=> ((~((~(forwards = backwards)) | (~(pull = push)) | happens(pull, n1))) | (~happens(push, n1)) | happens(push, n1) | (~((~(forwards = backwards)) | (~happens(push, n1)))) | (~((~(forwards = spinning)) | (~(pull = push)) | happens(pull, n1))) | (~((~(forwards = spinning)) | happens(push, n1))))),
% 10.34/10.58 inference(monotonicity,[status(thm)],[35, 34, 33, 20, 19, 18])).
% 10.34/10.58 tff(37,plain,
% 10.34/10.58 (((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = spinning))))) <=> $true),
% 10.34/10.58 inference(transitivity,[status(thm)],[36, 17])).
% 10.34/10.58 tff(38,plain,
% 10.34/10.58 ((terminates(pull, forwards, n1) <=> ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = spinning)))))) <=> (terminates(pull, forwards, n1) <=> $true)),
% 10.34/10.58 inference(monotonicity,[status(thm)],[37])).
% 10.34/10.58 tff(39,plain,
% 10.34/10.58 ((terminates(pull, forwards, n1) <=> ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = spinning)))))) <=> terminates(pull, forwards, n1)),
% 10.34/10.58 inference(transitivity,[status(thm)],[38, 16])).
% 10.34/10.58 tff(40,plain,
% 10.34/10.58 (((~![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, forwards, n1) <=> ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = 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, forwards, n1))),
% 10.34/10.59 inference(monotonicity,[status(thm)],[39])).
% 10.34/10.59 tff(41,plain,
% 10.34/10.59 (((~![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, forwards, n1) <=> ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = 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, forwards, n1))),
% 10.34/10.59 inference(transitivity,[status(thm)],[40, 15])).
% 10.34/10.59 tff(42,plain,
% 10.34/10.59 ((~![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, forwards, n1) <=> ((~(happens(pull, n1) | (~(pull = push)) | (~(forwards = backwards)))) | (~(happens(push, n1) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(forwards = forwards)) | (~(pull = pull)))) | (~((~happens(push, n1)) | (~(pull = pull)) | (~(forwards = backwards)))) | (~(happens(pull, n1) | (~(pull = push)) | (~(forwards = spinning)))) | (~(happens(push, n1) | (~(pull = pull)) | (~(forwards = spinning))))))),
% 10.34/10.59 inference(quant_inst,[status(thm)],[])).
% 10.34/10.59 tff(43,plain,
% 10.34/10.59 ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = backwards)))) | (~(happens(push, Time) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Fluent = forwards)) | (~(Event = pull)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = spinning)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = spinning))))))) | terminates(pull, forwards, n1)),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[42, 41])).
% 10.34/10.59 tff(44,plain,
% 10.34/10.59 ($false),
% 10.34/10.59 inference(unit_resolution,[status(thm)],[43, 14, 1])).
% 10.34/10.59 tff(45,plain,(terminates(pull, forwards, n1)), inference(lemma,lemma(discharge,[]))).
% 10.34/10.59 tff(46,assumption,(~happens(pull, n1)), introduced(assumption)).
% 10.34/10.59 tff(47,plain,
% 10.34/10.59 (^[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)))))))),
% 10.34/10.59 inference(bind,[status(th)],[])).
% 10.34/10.59 tff(48,plain,
% 10.34/10.59 (![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))))))),
% 10.34/10.59 inference(quant_intro,[status(thm)],[47])).
% 10.34/10.59 tff(49,plain,
% 10.34/10.59 (^[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)))))))),
% 10.34/10.59 inference(bind,[status(th)],[])).
% 10.34/10.59 tff(50,plain,
% 10.34/10.59 (![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))))))),
% 10.34/10.59 inference(quant_intro,[status(thm)],[49])).
% 10.34/10.59 tff(51,plain,
% 10.34/10.59 (![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))))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(52,plain,
% 10.34/10.59 (^[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)))))),
% 10.34/10.59 inference(bind,[status(th)],[])).
% 10.34/10.59 tff(53,plain,
% 10.34/10.59 (![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))))),
% 10.34/10.59 inference(quant_intro,[status(thm)],[52])).
% 10.34/10.59 tff(54,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')).
% 10.34/10.59 tff(55,plain,
% 10.34/10.59 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[54, 53])).
% 10.34/10.59 tff(56,plain,
% 10.34/10.59 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[55, 51])).
% 10.34/10.59 tff(57,plain,(
% 10.34/10.59 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 10.34/10.59 inference(skolemize,[status(sab)],[56])).
% 10.34/10.59 tff(58,plain,
% 10.34/10.59 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[57, 50])).
% 10.34/10.59 tff(59,plain,
% 10.34/10.59 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[58, 48])).
% 10.34/10.59 tff(60,plain,
% 10.34/10.59 (((~![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, 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(pull, n1))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(61,plain,
% 10.34/10.59 ((happens(pull, n1) <=> $true) <=> happens(pull, n1)),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(62,plain,
% 10.34/10.59 (((~((~(pull = push)) | (~(n1 = n2)))) | (n1 = n2) | $true | (~((~(pull = push)) | (~(n1 = n0))))) <=> $true),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(63,plain,
% 10.34/10.59 ((~((~(pull = push)) | (~(n1 = n0)))) <=> (~((~(pull = push)) | (~(n1 = n0))))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(64,plain,
% 10.34/10.59 ((~$false) <=> $true),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(65,plain,
% 10.34/10.59 (($false | $false) <=> $false),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(66,plain,
% 10.34/10.59 ((n1 = n1) <=> $true),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(67,plain,
% 10.34/10.59 ((~(n1 = n1)) <=> (~$true)),
% 10.34/10.59 inference(monotonicity,[status(thm)],[66])).
% 10.34/10.59 tff(68,plain,
% 10.34/10.59 ((~(n1 = n1)) <=> $false),
% 10.34/10.59 inference(transitivity,[status(thm)],[67, 23])).
% 10.34/10.59 tff(69,plain,
% 10.34/10.59 (((~(pull = pull)) | (~(n1 = n1))) <=> ($false | $false)),
% 10.34/10.59 inference(monotonicity,[status(thm)],[26, 68])).
% 10.34/10.59 tff(70,plain,
% 10.34/10.59 (((~(pull = pull)) | (~(n1 = n1))) <=> $false),
% 10.34/10.59 inference(transitivity,[status(thm)],[69, 65])).
% 10.34/10.59 tff(71,plain,
% 10.34/10.59 ((~((~(pull = pull)) | (~(n1 = n1)))) <=> (~$false)),
% 10.34/10.59 inference(monotonicity,[status(thm)],[70])).
% 10.34/10.59 tff(72,plain,
% 10.34/10.59 ((~((~(pull = pull)) | (~(n1 = n1)))) <=> $true),
% 10.34/10.59 inference(transitivity,[status(thm)],[71, 64])).
% 10.34/10.59 tff(73,plain,
% 10.34/10.59 ((~(~(n1 = n2))) <=> (n1 = n2)),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(74,plain,
% 10.34/10.59 (((~(n1 = n2)) | $false) <=> (~(n1 = n2))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(75,plain,
% 10.34/10.59 (((~(n1 = n2)) | (~(pull = pull))) <=> ((~(n1 = n2)) | $false)),
% 10.34/10.59 inference(monotonicity,[status(thm)],[26])).
% 10.34/10.59 tff(76,plain,
% 10.34/10.59 (((~(n1 = n2)) | (~(pull = pull))) <=> (~(n1 = n2))),
% 10.34/10.59 inference(transitivity,[status(thm)],[75, 74])).
% 10.34/10.59 tff(77,plain,
% 10.34/10.59 ((~((~(n1 = n2)) | (~(pull = pull)))) <=> (~(~(n1 = n2)))),
% 10.34/10.59 inference(monotonicity,[status(thm)],[76])).
% 10.34/10.59 tff(78,plain,
% 10.34/10.59 ((~((~(n1 = n2)) | (~(pull = pull)))) <=> (n1 = n2)),
% 10.34/10.59 inference(transitivity,[status(thm)],[77, 73])).
% 10.34/10.59 tff(79,plain,
% 10.34/10.59 ((~((~(pull = push)) | (~(n1 = n2)))) <=> (~((~(pull = push)) | (~(n1 = n2))))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(80,plain,
% 10.34/10.59 (((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0))))) <=> ((~((~(pull = push)) | (~(n1 = n2)))) | (n1 = n2) | $true | (~((~(pull = push)) | (~(n1 = n0)))))),
% 10.34/10.59 inference(monotonicity,[status(thm)],[79, 78, 72, 63])).
% 10.34/10.59 tff(81,plain,
% 10.34/10.59 (((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0))))) <=> $true),
% 10.34/10.59 inference(transitivity,[status(thm)],[80, 62])).
% 10.34/10.59 tff(82,plain,
% 10.34/10.59 ((happens(pull, n1) <=> ((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0)))))) <=> (happens(pull, n1) <=> $true)),
% 10.34/10.59 inference(monotonicity,[status(thm)],[81])).
% 10.34/10.59 tff(83,plain,
% 10.34/10.59 ((happens(pull, n1) <=> ((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0)))))) <=> happens(pull, n1)),
% 10.34/10.59 inference(transitivity,[status(thm)],[82, 61])).
% 10.34/10.59 tff(84,plain,
% 10.34/10.59 (((~![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, n1) <=> ((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n1))),
% 10.34/10.59 inference(monotonicity,[status(thm)],[83])).
% 10.34/10.59 tff(85,plain,
% 10.34/10.59 (((~![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, n1) <=> ((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n1))),
% 10.34/10.59 inference(transitivity,[status(thm)],[84, 60])).
% 10.34/10.59 tff(86,plain,
% 10.34/10.59 ((~![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, n1) <=> ((~((~(pull = push)) | (~(n1 = n2)))) | (~((~(n1 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n1 = n1)))) | (~((~(pull = push)) | (~(n1 = n0))))))),
% 10.34/10.59 inference(quant_inst,[status(thm)],[])).
% 10.34/10.59 tff(87,plain,
% 10.34/10.59 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n1)),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[86, 85])).
% 10.34/10.59 tff(88,plain,
% 10.34/10.59 ($false),
% 10.34/10.59 inference(unit_resolution,[status(thm)],[87, 59, 46])).
% 10.34/10.59 tff(89,plain,(happens(pull, n1)), inference(lemma,lemma(discharge,[]))).
% 10.34/10.59 tff(90,plain,
% 10.34/10.59 ((plus(n1, n1) = n2) <=> (plus(n1, n1) = n2)),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(91,axiom,(plus(n1, n1) = n2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_1')).
% 10.34/10.59 tff(92,plain,
% 10.34/10.59 (plus(n1, n1) = n2),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[91, 90])).
% 10.34/10.59 tff(93,plain,
% 10.34/10.59 (holdsAt(forwards, plus(n1, n1)) <=> holdsAt(forwards, n2)),
% 10.34/10.59 inference(monotonicity,[status(thm)],[92])).
% 10.34/10.59 tff(94,plain,
% 10.34/10.59 (holdsAt(forwards, n2) <=> holdsAt(forwards, plus(n1, n1))),
% 10.34/10.59 inference(symmetry,[status(thm)],[93])).
% 10.34/10.59 tff(95,plain,
% 10.34/10.59 (holdsAt(forwards, n2) <=> holdsAt(forwards, n2)),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(96,plain,
% 10.34/10.59 ((~(~holdsAt(forwards, n2))) <=> holdsAt(forwards, n2)),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(97,axiom,(~(~holdsAt(forwards, n2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_forwards_2')).
% 10.34/10.59 tff(98,plain,
% 10.34/10.59 (holdsAt(forwards, n2)),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[97, 96])).
% 10.34/10.59 tff(99,plain,
% 10.34/10.59 (holdsAt(forwards, n2)),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[98, 95])).
% 10.34/10.59 tff(100,plain,
% 10.34/10.59 (holdsAt(forwards, plus(n1, n1))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[99, 94])).
% 10.34/10.59 tff(101,plain,
% 10.34/10.59 (^[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))))),
% 10.34/10.59 inference(bind,[status(th)],[])).
% 10.34/10.59 tff(102,plain,
% 10.34/10.59 (![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)))),
% 10.34/10.59 inference(quant_intro,[status(thm)],[101])).
% 10.34/10.59 tff(103,plain,
% 10.34/10.59 (^[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)))))),
% 10.34/10.59 inference(bind,[status(th)],[])).
% 10.34/10.59 tff(104,plain,
% 10.34/10.59 (![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)))),
% 10.34/10.59 inference(quant_intro,[status(thm)],[103])).
% 10.34/10.59 tff(105,plain,
% 10.34/10.59 (![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))))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(106,plain,
% 10.34/10.59 (^[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)))))),
% 10.34/10.59 inference(bind,[status(th)],[])).
% 10.34/10.59 tff(107,plain,
% 10.34/10.59 (![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))))),
% 10.34/10.59 inference(quant_intro,[status(thm)],[106])).
% 10.34/10.59 tff(108,axiom,(![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax','happens_terminates_not_holds')).
% 10.34/10.59 tff(109,plain,
% 10.34/10.59 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[108, 107])).
% 10.34/10.59 tff(110,plain,
% 10.34/10.59 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[109, 105])).
% 10.34/10.59 tff(111,plain,(
% 10.34/10.59 ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 10.34/10.59 inference(skolemize,[status(sab)],[110])).
% 10.34/10.59 tff(112,plain,
% 10.34/10.59 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[111, 104])).
% 10.34/10.59 tff(113,plain,
% 10.34/10.59 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[112, 102])).
% 10.34/10.59 tff(114,plain,
% 10.34/10.59 (((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | ((~holdsAt(forwards, plus(n1, n1))) | (~happens(pull, n1)) | (~terminates(pull, forwards, n1)))) <=> ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | (~holdsAt(forwards, plus(n1, n1))) | (~happens(pull, n1)) | (~terminates(pull, forwards, n1)))),
% 10.34/10.59 inference(rewrite,[status(thm)],[])).
% 10.34/10.59 tff(115,plain,
% 10.34/10.59 ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | ((~holdsAt(forwards, plus(n1, n1))) | (~happens(pull, n1)) | (~terminates(pull, forwards, n1)))),
% 10.34/10.59 inference(quant_inst,[status(thm)],[])).
% 10.34/10.59 tff(116,plain,
% 10.34/10.59 ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | (~holdsAt(forwards, plus(n1, n1))) | (~happens(pull, n1)) | (~terminates(pull, forwards, n1))),
% 10.34/10.59 inference(modus_ponens,[status(thm)],[115, 114])).
% 10.34/10.59 tff(117,plain,
% 10.34/10.59 ($false),
% 10.34/10.59 inference(unit_resolution,[status(thm)],[116, 113, 100, 89, 45])).
% 10.34/10.59 % SZS output end Proof
% 10.34/10.60 % E exiting
%------------------------------------------------------------------------------