TSTP Solution File: CSR015+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 14:27:01 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 16:10:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 tff(releasedAt_type, type, (
% 0.20/0.41 releasedAt: ( $i * $i ) > $o)).
% 0.20/0.41 tff(n1_type, type, (
% 0.20/0.41 n1: $i)).
% 0.20/0.41 tff(backwards_type, type, (
% 0.20/0.41 backwards: $i)).
% 0.20/0.41 tff(plus_type, type, (
% 0.20/0.41 plus: ( $i * $i ) > $i)).
% 0.20/0.41 tff(n0_type, type, (
% 0.20/0.41 n0: $i)).
% 0.20/0.41 tff(initiates_type, type, (
% 0.20/0.41 initiates: ( $i * $i * $i ) > $o)).
% 0.20/0.41 tff(tptp_fun_Event_5_type, type, (
% 0.20/0.41 tptp_fun_Event_5: ( $i * $i ) > $i)).
% 0.20/0.41 tff(happens_type, type, (
% 0.20/0.41 happens: ( $i * $i ) > $o)).
% 0.20/0.41 tff(pull_type, type, (
% 0.20/0.41 pull: $i)).
% 0.20/0.41 tff(push_type, type, (
% 0.20/0.41 push: $i)).
% 0.20/0.41 tff(spinning_type, type, (
% 0.20/0.41 spinning: $i)).
% 0.20/0.41 tff(forwards_type, type, (
% 0.20/0.41 forwards: $i)).
% 0.20/0.41 tff(n2_type, type, (
% 0.20/0.41 n2: $i)).
% 0.20/0.41 tff(holdsAt_type, type, (
% 0.20/0.41 holdsAt: ( $i * $i ) > $o)).
% 0.20/0.41 tff(1,plain,
% 0.20/0.41 ((plus(n0, n1) = n1) <=> (plus(n0, n1) = n1)),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(2,axiom,(plus(n0, n1) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','plus0_1')).
% 0.20/0.41 tff(3,plain,
% 0.20/0.41 (plus(n0, n1) = n1),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.41 tff(4,plain,
% 0.20/0.41 (n1 = plus(n0, n1)),
% 0.20/0.41 inference(symmetry,[status(thm)],[3])).
% 0.20/0.41 tff(5,plain,
% 0.20/0.41 (releasedAt(backwards, n1) <=> releasedAt(backwards, plus(n0, n1))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[4])).
% 0.20/0.41 tff(6,plain,
% 0.20/0.41 (releasedAt(backwards, plus(n0, n1)) <=> releasedAt(backwards, n1)),
% 0.20/0.41 inference(symmetry,[status(thm)],[5])).
% 0.20/0.41 tff(7,plain,
% 0.20/0.41 (^[Event: $i, Fluent: $i, Time: $i] : refl((initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))) <=> (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(8,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[7])).
% 0.20/0.41 tff(9,plain,
% 0.20/0.41 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))) <=> (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning)))))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(10,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[9])).
% 0.20/0.41 tff(11,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(12,plain,
% 0.20/0.41 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time)))) <=> (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(13,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[12])).
% 0.20/0.41 tff(14,axiom,(![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','initiates_all_defn')).
% 0.20/0.41 tff(15,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.41 tff(16,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.20/0.41 tff(17,plain,(
% 0.20/0.41 ![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((Event = push) & (Fluent = forwards) & (~happens(pull, Time))) | ((Event = pull) & (Fluent = backwards) & (~happens(push, Time))) | ((Event = pull) & (Fluent = spinning) & happens(push, Time))))),
% 0.20/0.41 inference(skolemize,[status(sab)],[16])).
% 0.20/0.41 tff(18,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.20/0.41 tff(19,plain,
% 0.20/0.41 (![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[18, 8])).
% 0.20/0.41 tff(20,plain,
% 0.20/0.41 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(21,plain,
% 0.20/0.42 ((initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = spinning)))))) <=> (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(22,plain,
% 0.20/0.42 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.42 tff(23,plain,
% 0.20/0.42 (((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))))),
% 0.20/0.42 inference(transitivity,[status(thm)],[22, 20])).
% 0.20/0.42 tff(24,plain,
% 0.20/0.42 ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = backwards)))) | (~((~happens(push, n0)) | (~(tptp_fun_Event_5(n0, backwards) = pull)) | (~(backwards = spinning))))))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(25,plain,
% 0.20/0.42 ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.42 tff(26,plain,
% 0.20/0.42 (initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[25, 19])).
% 0.20/0.42 tff(27,assumption,(initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)), introduced(assumption)).
% 0.20/0.42 tff(28,plain,
% 0.20/0.42 ((~(initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))))) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)) | ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(29,plain,
% 0.20/0.42 ((~(initiates(tptp_fun_Event_5(n0, backwards), backwards, n0) <=> ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))))) | ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.20/0.42 tff(30,plain,
% 0.20/0.42 ((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[29, 26])).
% 0.20/0.42 tff(31,plain,
% 0.20/0.42 ((backwards = forwards) <=> (forwards = backwards)),
% 0.20/0.42 inference(commutativity,[status(thm)],[])).
% 0.20/0.42 tff(32,plain,
% 0.20/0.42 ((forwards = backwards) <=> (backwards = forwards)),
% 0.20/0.42 inference(symmetry,[status(thm)],[31])).
% 0.20/0.42 tff(33,plain,
% 0.20/0.42 ((~(forwards = backwards)) <=> (~(backwards = forwards))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[32])).
% 0.20/0.42 tff(34,plain,
% 0.20/0.42 ((~(forwards = backwards)) <=> (~(forwards = backwards))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(35,axiom,(~(forwards = backwards)), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','forwards_not_backwards')).
% 0.20/0.42 tff(36,plain,
% 0.20/0.42 (~(forwards = backwards)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.42 tff(37,plain,
% 0.20/0.42 (~(backwards = forwards)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[36, 33])).
% 0.20/0.42 tff(38,plain,
% 0.20/0.42 ((happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards))) | (backwards = forwards)),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(39,plain,
% 0.20/0.42 (happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.20/0.42 tff(40,plain,
% 0.20/0.42 ((backwards = spinning) <=> (spinning = backwards)),
% 0.20/0.42 inference(commutativity,[status(thm)],[])).
% 0.20/0.42 tff(41,plain,
% 0.20/0.42 ((spinning = backwards) <=> (backwards = spinning)),
% 0.20/0.42 inference(symmetry,[status(thm)],[40])).
% 0.20/0.42 tff(42,plain,
% 0.20/0.42 ((~(spinning = backwards)) <=> (~(backwards = spinning))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[41])).
% 0.20/0.42 tff(43,plain,
% 0.20/0.42 ((~(spinning = backwards)) <=> (~(spinning = backwards))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(44,axiom,(~(spinning = backwards)), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','spinning_not_backwards')).
% 0.20/0.42 tff(45,plain,
% 0.20/0.42 (~(spinning = backwards)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.20/0.42 tff(46,plain,
% 0.20/0.42 (~(backwards = spinning)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[45, 42])).
% 0.20/0.42 tff(47,plain,
% 0.20/0.42 (((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning))) | (backwards = spinning)),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(48,plain,
% 0.20/0.42 ((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.20/0.42 tff(49,assumption,(~happens(push, n0)), introduced(assumption)).
% 0.20/0.42 tff(50,plain,
% 0.20/0.42 (^[Event: $i, Time: $i] : refl((happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1))))))) <=> (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1))))))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(51,plain,
% 0.20/0.42 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1))))))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[50])).
% 0.20/0.42 tff(52,plain,
% 0.20/0.42 (^[Event: $i, Time: $i] : rewrite((happens(Event, Time) <=> (((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)) | ((Event = push) & (Time = plus(n1, n1))) | ((Event = pull) & (Time = plus(n1, n1))))) <=> (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1))))))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(53,plain,
% 0.20/0.42 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)) | ((Event = push) & (Time = plus(n1, n1))) | ((Event = pull) & (Time = plus(n1, n1))))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[52])).
% 0.20/0.43 tff(54,plain,
% 0.20/0.43 (^[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 = pull) & (Time = n1)) | ((Event = push) & (Time = n0)) | ((Event = push) & (Time = plus(n1, n1))) | ((Event = pull) & (Time = plus(n1, n1))))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(55,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)) | ((Event = push) & (Time = plus(n1, n1))) | ((Event = pull) & (Time = plus(n1, n1)))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[54])).
% 0.20/0.43 tff(56,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(57,plain,
% 0.20/0.43 (^[Event: $i, Time: $i] : rewrite((happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2)))) <=> (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(58,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[57])).
% 0.20/0.43 tff(59,axiom,(![Event: $i, Time: $i] : (happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax','happens_all_defn')).
% 0.20/0.43 tff(60,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.20/0.43 tff(61,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.20/0.43 tff(62,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)) | ((Event = push) & (Time = plus(n1, n1))) | ((Event = pull) & (Time = plus(n1, n1)))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[61, 55])).
% 0.20/0.43 tff(63,plain,(
% 0.20/0.43 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0)) | ((Event = push) & (Time = plus(n1, n1))) | ((Event = pull) & (Time = plus(n1, n1)))))),
% 0.20/0.43 inference(skolemize,[status(sab)],[62])).
% 0.20/0.43 tff(64,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[63, 53])).
% 0.20/0.43 tff(65,plain,
% 0.20/0.43 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[64, 51])).
% 0.20/0.43 tff(66,plain,
% 0.20/0.43 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | happens(push, n0)) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | happens(push, n0))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(67,plain,
% 0.20/0.43 ((happens(push, n0) <=> $true) <=> happens(push, n0)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(68,plain,
% 0.20/0.43 (((~((~(push = pull)) | (~(n0 = n1)))) | $true | (n0 = plus(n1, n1)) | (~((~(push = pull)) | (~(n0 = plus(n1, n1)))))) <=> $true),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(69,plain,
% 0.20/0.43 ((~(~(n0 = plus(n1, n1)))) <=> (n0 = plus(n1, n1))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(70,plain,
% 0.20/0.43 (($false | (~(n0 = plus(n1, n1)))) <=> (~(n0 = plus(n1, n1)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(71,plain,
% 0.20/0.43 ((~$true) <=> $false),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(72,plain,
% 0.20/0.43 ((push = push) <=> $true),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(73,plain,
% 0.20/0.43 ((~(push = push)) <=> (~$true)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[72])).
% 0.20/0.43 tff(74,plain,
% 0.20/0.43 ((~(push = push)) <=> $false),
% 0.20/0.43 inference(transitivity,[status(thm)],[73, 71])).
% 0.20/0.43 tff(75,plain,
% 0.20/0.43 (((~(push = push)) | (~(n0 = plus(n1, n1)))) <=> ($false | (~(n0 = plus(n1, n1))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[74])).
% 0.20/0.43 tff(76,plain,
% 0.20/0.43 (((~(push = push)) | (~(n0 = plus(n1, n1)))) <=> (~(n0 = plus(n1, n1)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[75, 70])).
% 0.20/0.43 tff(77,plain,
% 0.20/0.43 ((~((~(push = push)) | (~(n0 = plus(n1, n1))))) <=> (~(~(n0 = plus(n1, n1))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[76])).
% 0.20/0.43 tff(78,plain,
% 0.20/0.43 ((~((~(push = push)) | (~(n0 = plus(n1, n1))))) <=> (n0 = plus(n1, n1))),
% 0.20/0.43 inference(transitivity,[status(thm)],[77, 69])).
% 0.20/0.43 tff(79,plain,
% 0.20/0.43 ((~$false) <=> $true),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(80,plain,
% 0.20/0.43 (($false | $false) <=> $false),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(81,plain,
% 0.20/0.43 ((n0 = n0) <=> $true),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(82,plain,
% 0.20/0.43 ((~(n0 = n0)) <=> (~$true)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[81])).
% 0.20/0.43 tff(83,plain,
% 0.20/0.43 ((~(n0 = n0)) <=> $false),
% 0.20/0.43 inference(transitivity,[status(thm)],[82, 71])).
% 0.20/0.43 tff(84,plain,
% 0.20/0.43 (((~(push = push)) | (~(n0 = n0))) <=> ($false | $false)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[74, 83])).
% 0.20/0.43 tff(85,plain,
% 0.20/0.43 (((~(push = push)) | (~(n0 = n0))) <=> $false),
% 0.20/0.43 inference(transitivity,[status(thm)],[84, 80])).
% 0.20/0.43 tff(86,plain,
% 0.20/0.43 ((~((~(push = push)) | (~(n0 = n0)))) <=> (~$false)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[85])).
% 0.20/0.43 tff(87,plain,
% 0.20/0.43 ((~((~(push = push)) | (~(n0 = n0)))) <=> $true),
% 0.20/0.43 inference(transitivity,[status(thm)],[86, 79])).
% 0.20/0.43 tff(88,plain,
% 0.20/0.43 ((~((~(push = pull)) | (~(n0 = n1)))) <=> (~((~(push = pull)) | (~(n0 = n1))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(89,plain,
% 0.20/0.43 (((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1)))))) <=> ((~((~(push = pull)) | (~(n0 = n1)))) | $true | (n0 = plus(n1, n1)) | (~((~(push = pull)) | (~(n0 = plus(n1, n1))))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[88, 87, 78])).
% 0.20/0.43 tff(90,plain,
% 0.20/0.43 (((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1)))))) <=> $true),
% 0.20/0.44 inference(transitivity,[status(thm)],[89, 68])).
% 0.20/0.44 tff(91,plain,
% 0.20/0.44 ((happens(push, n0) <=> ((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1))))))) <=> (happens(push, n0) <=> $true)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[90])).
% 0.20/0.44 tff(92,plain,
% 0.20/0.44 ((happens(push, n0) <=> ((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1))))))) <=> happens(push, n0)),
% 0.20/0.44 inference(transitivity,[status(thm)],[91, 67])).
% 0.20/0.44 tff(93,plain,
% 0.20/0.44 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | (happens(push, n0) <=> ((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1)))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | happens(push, n0))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[92])).
% 0.20/0.44 tff(94,plain,
% 0.20/0.44 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | (happens(push, n0) <=> ((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1)))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | happens(push, n0))),
% 0.20/0.44 inference(transitivity,[status(thm)],[93, 66])).
% 0.20/0.44 tff(95,plain,
% 0.20/0.44 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | (happens(push, n0) <=> ((~((~(push = pull)) | (~(n0 = n1)))) | (~((~(push = push)) | (~(n0 = n0)))) | (~((~(push = push)) | (~(n0 = plus(n1, n1))))) | (~((~(push = pull)) | (~(n0 = plus(n1, n1)))))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(96,plain,
% 0.20/0.44 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0)))) | (~((~(Event = push)) | (~(Time = plus(n1, n1))))) | (~((~(Event = pull)) | (~(Time = plus(n1, n1)))))))) | happens(push, n0)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.20/0.44 tff(97,plain,
% 0.20/0.44 ($false),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[96, 65, 49])).
% 0.20/0.44 tff(98,plain,(happens(push, n0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.44 tff(99,plain,
% 0.20/0.44 ((happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))) | (~happens(push, n0))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(100,plain,
% 0.20/0.44 (happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.20/0.44 tff(101,plain,
% 0.20/0.44 ((~((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))) | (~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull))))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(102,plain,
% 0.20/0.44 ((~((~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning)))) | (~(happens(push, n0) | (~(tptp_fun_Event_5(n0, backwards) = pull)))))) | (~(happens(pull, n0) | (~(tptp_fun_Event_5(n0, backwards) = push)) | (~(backwards = forwards)))) | (~((~(tptp_fun_Event_5(n0, backwards) = pull)) | (~happens(push, n0)) | (~(backwards = spinning))))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.20/0.44 tff(103,plain,
% 0.20/0.44 ($false),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[102, 48, 39, 30])).
% 0.20/0.44 tff(104,plain,(~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.44 tff(105,plain,
% 0.20/0.44 (((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))) | initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(106,plain,
% 0.20/0.44 ((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.20/0.44 tff(107,plain,
% 0.20/0.44 (holdsAt(backwards, plus(n0, n1)) <=> holdsAt(backwards, n1)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[3])).
% 0.20/0.44 tff(108,plain,
% 0.20/0.44 (holdsAt(backwards, n1) <=> holdsAt(backwards, plus(n0, n1))),
% 0.20/0.44 inference(symmetry,[status(thm)],[107])).
% 0.20/0.44 tff(109,plain,
% 0.20/0.44 (holdsAt(backwards, n1) <=> holdsAt(backwards, n1)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(110,plain,
% 0.20/0.44 ((~(~holdsAt(backwards, n1))) <=> holdsAt(backwards, n1)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(111,axiom,(~(~holdsAt(backwards, n1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_backwards_1')).
% 0.20/0.44 tff(112,plain,
% 0.20/0.44 (holdsAt(backwards, n1)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.20/0.44 tff(113,plain,
% 0.20/0.44 (holdsAt(backwards, n1)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[112, 109])).
% 0.20/0.44 tff(114,plain,
% 0.20/0.44 (holdsAt(backwards, plus(n0, n1))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[113, 108])).
% 0.20/0.44 tff(115,plain,
% 0.20/0.44 ((~holdsAt(backwards, n0)) <=> (~holdsAt(backwards, n0))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(116,axiom,(~holdsAt(backwards, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_backwards_0')).
% 0.20/0.44 tff(117,plain,
% 0.20/0.44 (~holdsAt(backwards, n0)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.20/0.44 tff(118,plain,
% 0.20/0.44 (^[Fluent: $i, Time: $i] : refl((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(119,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[118])).
% 0.20/0.44 tff(120,plain,
% 0.20/0.44 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite((happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)) <=> (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))), ((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))))), rewrite((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))), ((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(121,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[120])).
% 0.20/0.44 tff(122,plain,
% 0.20/0.44 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite(((~(~holdsAt(Fluent, Time))) | (~(~releasedAt(Fluent, plus(Time, n1)))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))), (((~holdsAt(Fluent, plus(Time, n1))) | ((~(~holdsAt(Fluent, Time))) | (~(~releasedAt(Fluent, plus(Time, n1)))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))), rewrite(((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))), (((~holdsAt(Fluent, plus(Time, n1))) | ((~(~holdsAt(Fluent, Time))) | (~(~releasedAt(Fluent, plus(Time, n1)))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(123,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | ((~(~holdsAt(Fluent, Time))) | (~(~releasedAt(Fluent, plus(Time, n1)))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[122])).
% 0.20/0.44 tff(124,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))) <=> ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(125,plain,
% 0.20/0.44 (^[Fluent: $i, Time: $i] : trans(monotonicity(trans(monotonicity(rewrite((~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))) <=> (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))), ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> (((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))), rewrite((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> ((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))), ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> ((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))), (((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> (((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))))), rewrite((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))), (((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(126,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[125])).
% 0.20/0.44 tff(127,axiom,(![Fluent: $i, Time: $i] : ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax','keep_not_holding')).
% 0.20/0.44 tff(128,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.20/0.44 tff(129,plain,
% 0.20/0.44 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[128, 124])).
% 0.20/0.45 tff(130,plain,(
% 0.20/0.45 ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | ((~(~holdsAt(Fluent, Time))) | (~(~releasedAt(Fluent, plus(Time, n1)))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[129])).
% 0.20/0.45 tff(131,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.20/0.45 tff(132,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[131, 121])).
% 0.20/0.45 tff(133,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[132, 119])).
% 0.20/0.45 tff(134,plain,
% 0.20/0.45 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (holdsAt(backwards, n0) | releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | holdsAt(backwards, n0) | releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(135,plain,
% 0.20/0.45 ((releasedAt(backwards, plus(n0, n1)) | holdsAt(backwards, n0) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))))) <=> (holdsAt(backwards, n0) | releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(136,plain,
% 0.20/0.45 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(backwards, plus(n0, n1)) | holdsAt(backwards, n0) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (holdsAt(backwards, n0) | releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[135])).
% 0.20/0.45 tff(137,plain,
% 0.20/0.45 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(backwards, plus(n0, n1)) | holdsAt(backwards, n0) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | holdsAt(backwards, n0) | releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))),
% 0.20/0.45 inference(transitivity,[status(thm)],[136, 134])).
% 0.20/0.45 tff(138,plain,
% 0.20/0.45 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(backwards, plus(n0, n1)) | holdsAt(backwards, n0) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0)))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(139,plain,
% 0.20/0.45 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | holdsAt(backwards, n0) | releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.20/0.45 tff(140,plain,
% 0.20/0.45 (releasedAt(backwards, plus(n0, n1)) | (~holdsAt(backwards, plus(n0, n1))) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[139, 133, 117])).
% 0.20/0.45 tff(141,plain,
% 0.20/0.45 (releasedAt(backwards, plus(n0, n1)) | (~((~happens(tptp_fun_Event_5(n0, backwards), n0)) | (~initiates(tptp_fun_Event_5(n0, backwards), backwards, n0))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[140, 114])).
% 0.20/0.45 tff(142,plain,
% 0.20/0.45 (releasedAt(backwards, plus(n0, n1))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[141, 106])).
% 0.20/0.45 tff(143,plain,
% 0.20/0.45 (releasedAt(backwards, n1)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[142, 6])).
% 0.20/0.45 tff(144,plain,
% 0.20/0.45 (^[Fluent: $i, Time: $i] : refl((~releasedAt(Fluent, Time)) <=> (~releasedAt(Fluent, Time)))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(145,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time)) <=> ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[144])).
% 0.20/0.45 tff(146,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time)) <=> ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(147,axiom,(![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_releasedAt')).
% 0.20/0.45 tff(148,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.20/0.45 tff(149,plain,(
% 0.20/0.45 ![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.20/0.45 inference(skolemize,[status(sab)],[148])).
% 0.20/0.45 tff(150,plain,
% 0.20/0.45 (![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.20/0.45 tff(151,plain,
% 0.20/0.45 ((~![Fluent: $i, Time: $i] : (~releasedAt(Fluent, Time))) | (~releasedAt(backwards, n1))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(152,plain,
% 0.20/0.45 (~releasedAt(backwards, n1)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.20/0.45 tff(153,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[152, 143])).
% 0.20/0.45 % SZS output end Proof
%------------------------------------------------------------------------------