%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR023+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:14 AM UTC 2025
% Result : Theorem 7.72s 7.94s
% Output : Proof 7.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR023+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 12:27:09 EDT 2025
% 0.12/0.33 % CPUTime :
% 7.72/7.94 % SZS status Theorem
% 7.72/7.94 % SZS output start Proof
% 7.72/7.94 tff(initiates_type, type, (
% 7.72/7.94 initiates: ( $i * $i * $i ) > $o)).
% 7.72/7.94 tff(n2_type, type, (
% 7.72/7.94 n2: $i)).
% 7.72/7.94 tff(spinning_type, type, (
% 7.72/7.94 spinning: $i)).
% 7.72/7.94 tff(pull_type, type, (
% 7.72/7.94 pull: $i)).
% 7.72/7.94 tff(push_type, type, (
% 7.72/7.94 push: $i)).
% 7.72/7.94 tff(forwards_type, type, (
% 7.72/7.94 forwards: $i)).
% 7.72/7.94 tff(happens_type, type, (
% 7.72/7.94 happens: ( $i * $i ) > $o)).
% 7.72/7.94 tff(backwards_type, type, (
% 7.72/7.94 backwards: $i)).
% 7.72/7.94 tff(n0_type, type, (
% 7.72/7.94 n0: $i)).
% 7.72/7.94 tff(n1_type, type, (
% 7.72/7.94 n1: $i)).
% 7.72/7.94 tff(holdsAt_type, type, (
% 7.72/7.94 holdsAt: ( $i * $i ) > $o)).
% 7.72/7.94 tff(plus_type, type, (
% 7.72/7.94 plus: ( $i * $i ) > $i)).
% 7.72/7.94 tff(n3_type, type, (
% 7.72/7.94 n3: $i)).
% 7.72/7.94 tff(1,plain,
% 7.72/7.94 (^[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)))))))),
% 7.72/7.94 inference(bind,[status(th)],[])).
% 7.72/7.94 tff(2,plain,
% 7.72/7.94 (![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))))))),
% 7.72/7.94 inference(quant_intro,[status(thm)],[1])).
% 7.72/7.94 tff(3,plain,
% 7.72/7.94 (^[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)))))))),
% 7.72/7.94 inference(bind,[status(th)],[])).
% 7.72/7.94 tff(4,plain,
% 7.72/7.94 (![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))))))),
% 7.72/7.94 inference(quant_intro,[status(thm)],[3])).
% 7.72/7.94 tff(5,plain,
% 7.72/7.94 (![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))))),
% 7.72/7.94 inference(rewrite,[status(thm)],[])).
% 7.72/7.94 tff(6,plain,
% 7.72/7.94 (^[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)))))),
% 7.72/7.94 inference(bind,[status(th)],[])).
% 7.72/7.94 tff(7,plain,
% 7.72/7.94 (![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))))),
% 7.72/7.94 inference(quant_intro,[status(thm)],[6])).
% 7.72/7.94 tff(8,axiom,(![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> (((((Event = push) & (Fluent = forwards)) & (~happens(pull, Time))) | (((Event = pull) & (Fluent = backwards)) & (~happens(push, Time)))) | (((Event = pull) & (Fluent = spinning)) & happens(push, Time))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax','initiates_all_defn')).
% 7.72/7.94 tff(9,plain,
% 7.72/7.94 (![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))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[8, 7])).
% 7.72/7.94 tff(10,plain,
% 7.72/7.94 (![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))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[9, 5])).
% 7.72/7.94 tff(11,plain,(
% 7.72/7.94 ![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))))),
% 7.72/7.94 inference(skolemize,[status(sab)],[10])).
% 7.72/7.94 tff(12,plain,
% 7.72/7.94 (![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))))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[11, 4])).
% 7.72/7.94 tff(13,plain,
% 7.72/7.94 (![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))))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[12, 2])).
% 7.72/7.94 tff(14,plain,
% 7.72/7.94 (((~![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(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push))))))) <=> ((~![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(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push)))))))),
% 7.72/7.94 inference(rewrite,[status(thm)],[])).
% 7.72/7.94 tff(15,plain,
% 7.72/7.94 ((initiates(pull, spinning, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(spinning = forwards)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(spinning = spinning)))))) <=> (initiates(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push))))))),
% 7.72/7.94 inference(rewrite,[status(thm)],[])).
% 7.72/7.94 tff(16,plain,
% 7.72/7.94 (((~![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(pull, spinning, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(spinning = forwards)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(spinning = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push)))))))),
% 7.72/7.94 inference(monotonicity,[status(thm)],[15])).
% 7.72/7.94 tff(17,plain,
% 7.72/7.94 (((~![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(pull, spinning, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(spinning = forwards)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(spinning = spinning))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (initiates(Event, Fluent, Time) <=> ((~(happens(pull, Time) | (~(Event = push)) | (~(Fluent = forwards)))) | (~(happens(push, Time) | (~(Event = pull)) | (~(Fluent = backwards)))) | (~((~happens(push, Time)) | (~(Event = pull)) | (~(Fluent = spinning))))))) | (initiates(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push)))))))),
% 7.72/7.94 inference(transitivity,[status(thm)],[16, 14])).
% 7.72/7.94 tff(18,plain,
% 7.72/7.94 ((~![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(pull, spinning, n2) <=> ((~(happens(pull, n2) | (~(pull = push)) | (~(spinning = forwards)))) | (~(happens(push, n2) | (~(pull = pull)) | (~(spinning = backwards)))) | (~((~happens(push, n2)) | (~(pull = pull)) | (~(spinning = spinning))))))),
% 7.72/7.94 inference(quant_inst,[status(thm)],[])).
% 7.72/7.94 tff(19,plain,
% 7.72/7.94 ((~![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(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push))))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[18, 17])).
% 7.72/7.94 tff(20,plain,
% 7.72/7.94 (initiates(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push)))))),
% 7.72/7.94 inference(unit_resolution,[status(thm)],[19, 13])).
% 7.72/7.94 tff(21,assumption,(~happens(push, n2)), introduced(assumption)).
% 7.72/7.94 tff(22,plain,
% 7.72/7.94 (^[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)))))))),
% 7.72/7.94 inference(bind,[status(th)],[])).
% 7.72/7.94 tff(23,plain,
% 7.72/7.94 (![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))))))),
% 7.72/7.94 inference(quant_intro,[status(thm)],[22])).
% 7.72/7.94 tff(24,plain,
% 7.72/7.94 (^[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)))))))),
% 7.72/7.94 inference(bind,[status(th)],[])).
% 7.72/7.94 tff(25,plain,
% 7.72/7.94 (![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))))))),
% 7.72/7.94 inference(quant_intro,[status(thm)],[24])).
% 7.72/7.94 tff(26,plain,
% 7.72/7.94 (![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))))),
% 7.72/7.94 inference(rewrite,[status(thm)],[])).
% 7.72/7.94 tff(27,plain,
% 7.72/7.94 (^[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)))))),
% 7.72/7.94 inference(bind,[status(th)],[])).
% 7.72/7.94 tff(28,plain,
% 7.72/7.94 (![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))))),
% 7.72/7.94 inference(quant_intro,[status(thm)],[27])).
% 7.72/7.94 tff(29,axiom,(![Event: $i, Time: $i] : (happens(Event, Time) <=> (((((Event = push) & (Time = n0)) | ((Event = pull) & (Time = n1))) | ((Event = pull) & (Time = n2))) | ((Event = push) & (Time = n2))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax','happens_all_defn')).
% 7.72/7.94 tff(30,plain,
% 7.72/7.94 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[29, 28])).
% 7.72/7.94 tff(31,plain,
% 7.72/7.94 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[30, 26])).
% 7.72/7.94 tff(32,plain,(
% 7.72/7.94 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = push) & (Time = n2)) | ((Event = pull) & (Time = n2)) | ((Event = pull) & (Time = n1)) | ((Event = push) & (Time = n0))))),
% 7.72/7.94 inference(skolemize,[status(sab)],[31])).
% 7.72/7.94 tff(33,plain,
% 7.72/7.94 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[32, 25])).
% 7.72/7.94 tff(34,plain,
% 7.72/7.94 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))),
% 7.72/7.94 inference(modus_ponens,[status(thm)],[33, 23])).
% 7.72/7.94 tff(35,plain,
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% 7.72/7.94 inference(rewrite,[status(thm)],[])).
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% 7.72/7.95 (((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))) <=> ($true | (push = pull) | (~((~(push = pull)) | (~(n2 = n1)))) | (n2 = n0))),
% 7.72/7.95 inference(monotonicity,[status(thm)],[63, 57, 48, 47])).
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% 7.72/7.95 (((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))) <=> $true),
% 7.72/7.95 inference(transitivity,[status(thm)],[64, 37])).
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% 7.72/7.95 ((happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0)))))) <=> (happens(push, n2) <=> $true)),
% 7.72/7.95 inference(monotonicity,[status(thm)],[65])).
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% 7.72/7.95 ((happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0)))))) <=> happens(push, n2)),
% 7.72/7.95 inference(transitivity,[status(thm)],[66, 36])).
% 7.72/7.95 tff(68,plain,
% 7.72/7.95 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(push, n2))),
% 7.72/7.95 inference(monotonicity,[status(thm)],[67])).
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% 7.72/7.95 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(push, n2))),
% 7.72/7.95 inference(transitivity,[status(thm)],[68, 35])).
% 7.72/7.95 tff(70,plain,
% 7.72/7.95 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(push, n2) <=> ((~((~(push = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(push = pull)))) | (~((~(push = pull)) | (~(n2 = n1)))) | (~((~(push = push)) | (~(n2 = n0))))))),
% 7.72/7.95 inference(quant_inst,[status(thm)],[])).
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% 7.72/7.95 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(push, n2)),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[70, 69])).
% 7.72/7.95 tff(72,plain,
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% 7.72/7.95 tff(73,plain,(happens(push, n2)), inference(lemma,lemma(discharge,[]))).
% 7.72/7.95 tff(74,plain,
% 7.72/7.95 ((happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push))))) | (~happens(push, n2))),
% 7.72/7.95 inference(tautology,[status(thm)],[])).
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% 7.72/7.95 inference(unit_resolution,[status(thm)],[74, 73])).
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% 7.72/7.95 inference(tautology,[status(thm)],[])).
% 7.72/7.95 tff(77,plain,
% 7.72/7.95 ((~(initiates(pull, spinning, n2) <=> (happens(push, n2) | (~((~(spinning = backwards)) | happens(push, n2))) | (~(happens(pull, n2) | (~(spinning = forwards)) | (~(pull = push))))))) | initiates(pull, spinning, n2)),
% 7.72/7.95 inference(unit_resolution,[status(thm)],[76, 75])).
% 7.72/7.95 tff(78,plain,
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% 7.72/7.95 inference(unit_resolution,[status(thm)],[77, 20])).
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% 7.72/7.95 inference(rewrite,[status(thm)],[])).
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% 7.72/7.95 inference(monotonicity,[status(thm)],[88])).
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% 7.72/7.95 inference(transitivity,[status(thm)],[89, 85])).
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% 7.72/7.95 inference(monotonicity,[status(thm)],[90])).
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% 7.72/7.95 (((~(pull = push)) | (~(n2 = n2))) <=> (~(pull = push))),
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% 7.72/7.95 ((~((~(pull = push)) | (~(n2 = n2)))) <=> (~(~(pull = push)))),
% 7.72/7.95 inference(monotonicity,[status(thm)],[100])).
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% 7.72/7.95 ((~((~(pull = push)) | (~(n2 = n2)))) <=> (pull = push)),
% 7.72/7.95 inference(transitivity,[status(thm)],[101, 97])).
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% 7.72/7.95 (((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))) <=> ((pull = push) | $true | (n2 = n1) | (~((~(n2 = n0)) | (~(pull = push)))))),
% 7.72/7.95 inference(monotonicity,[status(thm)],[102, 96, 92, 83])).
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% 7.72/7.95 (((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))) <=> $true),
% 7.72/7.95 inference(transitivity,[status(thm)],[103, 82])).
% 7.72/7.95 tff(105,plain,
% 7.72/7.95 ((happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0)))))) <=> (happens(pull, n2) <=> $true)),
% 7.72/7.95 inference(monotonicity,[status(thm)],[104])).
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% 7.72/7.95 ((happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0)))))) <=> happens(pull, n2)),
% 7.72/7.95 inference(transitivity,[status(thm)],[105, 81])).
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% 7.72/7.95 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n2))),
% 7.72/7.95 inference(monotonicity,[status(thm)],[106])).
% 7.72/7.95 tff(108,plain,
% 7.72/7.95 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n2))),
% 7.72/7.95 inference(transitivity,[status(thm)],[107, 80])).
% 7.72/7.95 tff(109,plain,
% 7.72/7.95 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | (happens(pull, n2) <=> ((~((~(pull = push)) | (~(n2 = n2)))) | (~((~(n2 = n2)) | (~(pull = pull)))) | (~((~(pull = pull)) | (~(n2 = n1)))) | (~((~(pull = push)) | (~(n2 = n0))))))),
% 7.72/7.95 inference(quant_inst,[status(thm)],[])).
% 7.72/7.95 tff(110,plain,
% 7.72/7.95 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = push)) | (~(Time = n2)))) | (~((~(Time = n2)) | (~(Event = pull)))) | (~((~(Event = pull)) | (~(Time = n1)))) | (~((~(Event = push)) | (~(Time = n0))))))) | happens(pull, n2)),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[109, 108])).
% 7.72/7.95 tff(111,plain,
% 7.72/7.95 ($false),
% 7.72/7.95 inference(unit_resolution,[status(thm)],[110, 34, 79])).
% 7.72/7.95 tff(112,plain,(happens(pull, n2)), inference(lemma,lemma(discharge,[]))).
% 7.72/7.95 tff(113,plain,
% 7.72/7.95 ((plus(n1, n2) = n3) <=> (plus(n1, n2) = n3)),
% 7.72/7.95 inference(rewrite,[status(thm)],[])).
% 7.72/7.95 tff(114,axiom,(plus(n1, n2) = n3), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_2')).
% 7.72/7.95 tff(115,plain,
% 7.72/7.95 (plus(n1, n2) = n3),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[114, 113])).
% 7.72/7.95 tff(116,plain,
% 7.72/7.95 (^[X: $i, Y: $i] : refl((plus(X, Y) = plus(Y, X)) <=> (plus(X, Y) = plus(Y, X)))),
% 7.72/7.95 inference(bind,[status(th)],[])).
% 7.72/7.95 tff(117,plain,
% 7.72/7.95 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 7.72/7.95 inference(quant_intro,[status(thm)],[116])).
% 7.72/7.95 tff(118,plain,
% 7.72/7.95 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 7.72/7.95 inference(rewrite,[status(thm)],[])).
% 7.72/7.95 tff(119,axiom,(![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','symmetry_of_plus')).
% 7.72/7.95 tff(120,plain,
% 7.72/7.95 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[119, 118])).
% 7.72/7.95 tff(121,plain,(
% 7.72/7.95 ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 7.72/7.95 inference(skolemize,[status(sab)],[120])).
% 7.72/7.95 tff(122,plain,
% 7.72/7.95 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[121, 117])).
% 7.72/7.95 tff(123,plain,
% 7.72/7.95 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, n2) = plus(n2, n1))),
% 7.72/7.95 inference(quant_inst,[status(thm)],[])).
% 7.72/7.95 tff(124,plain,
% 7.72/7.95 (plus(n1, n2) = plus(n2, n1)),
% 7.72/7.95 inference(unit_resolution,[status(thm)],[123, 122])).
% 7.72/7.95 tff(125,plain,
% 7.72/7.95 (plus(n2, n1) = plus(n1, n2)),
% 7.72/7.95 inference(symmetry,[status(thm)],[124])).
% 7.72/7.95 tff(126,plain,
% 7.72/7.95 (plus(n2, n1) = n3),
% 7.72/7.95 inference(transitivity,[status(thm)],[125, 115])).
% 7.72/7.95 tff(127,plain,
% 7.72/7.95 (holdsAt(spinning, plus(n2, n1)) <=> holdsAt(spinning, n3)),
% 7.72/7.95 inference(monotonicity,[status(thm)],[126])).
% 7.72/7.95 tff(128,plain,
% 7.72/7.95 (holdsAt(spinning, n3) <=> holdsAt(spinning, plus(n2, n1))),
% 7.72/7.95 inference(symmetry,[status(thm)],[127])).
% 7.72/7.95 tff(129,plain,
% 7.72/7.95 ((~holdsAt(spinning, n3)) <=> (~holdsAt(spinning, plus(n2, n1)))),
% 7.72/7.95 inference(monotonicity,[status(thm)],[128])).
% 7.72/7.95 tff(130,plain,
% 7.72/7.95 ((~holdsAt(spinning, n3)) <=> (~holdsAt(spinning, n3))),
% 7.72/7.95 inference(rewrite,[status(thm)],[])).
% 7.72/7.95 tff(131,axiom,(~holdsAt(spinning, n3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spinning_3')).
% 7.72/7.95 tff(132,plain,
% 7.72/7.95 (~holdsAt(spinning, n3)),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[131, 130])).
% 7.72/7.95 tff(133,plain,
% 7.72/7.95 (~holdsAt(spinning, plus(n2, n1))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[132, 129])).
% 7.72/7.95 tff(134,plain,
% 7.72/7.95 (^[Event: $i, Time: $i, Fluent: $i] : refl((holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time))) <=> (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time))))),
% 7.72/7.95 inference(bind,[status(th)],[])).
% 7.72/7.95 tff(135,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time))) <=> ![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))),
% 7.72/7.95 inference(quant_intro,[status(thm)],[134])).
% 7.72/7.95 tff(136,plain,
% 7.72/7.95 (^[Event: $i, Time: $i, Fluent: $i] : trans(monotonicity(trans(monotonicity(rewrite((happens(Event, Time) & initiates(Event, Fluent, Time)) <=> (~((~happens(Event, Time)) | (~initiates(Event, Fluent, Time))))), ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) <=> (~(~((~happens(Event, Time)) | (~initiates(Event, Fluent, Time))))))), rewrite((~(~((~happens(Event, Time)) | (~initiates(Event, Fluent, Time))))) <=> ((~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))), ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) <=> ((~happens(Event, Time)) | (~initiates(Event, Fluent, Time))))), (((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))) <=> (((~happens(Event, Time)) | (~initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))))), rewrite((((~happens(Event, Time)) | (~initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))) <=> (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))), (((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))) <=> (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))))),
% 7.72/7.95 inference(bind,[status(th)],[])).
% 7.72/7.95 tff(137,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))) <=> ![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))),
% 7.72/7.95 inference(quant_intro,[status(thm)],[136])).
% 7.72/7.95 tff(138,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1)))),
% 7.72/7.95 inference(rewrite,[status(thm)],[])).
% 7.72/7.95 tff(139,plain,
% 7.72/7.95 (^[Event: $i, Time: $i, Fluent: $i] : rewrite(((happens(Event, Time) & initiates(Event, Fluent, Time)) => holdsAt(Fluent, plus(Time, n1))) <=> ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1))))),
% 7.72/7.95 inference(bind,[status(th)],[])).
% 7.72/7.95 tff(140,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & initiates(Event, Fluent, Time)) => holdsAt(Fluent, plus(Time, n1))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1)))),
% 7.72/7.95 inference(quant_intro,[status(thm)],[139])).
% 7.72/7.95 tff(141,axiom,(![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & initiates(Event, Fluent, Time)) => holdsAt(Fluent, plus(Time, n1)))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax','happens_holds')).
% 7.72/7.95 tff(142,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1)))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[141, 140])).
% 7.72/7.95 tff(143,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1)))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[142, 138])).
% 7.72/7.95 tff(144,plain,(
% 7.72/7.95 ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & initiates(Event, Fluent, Time))) | holdsAt(Fluent, plus(Time, n1)))),
% 7.72/7.95 inference(skolemize,[status(sab)],[143])).
% 7.72/7.95 tff(145,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[144, 137])).
% 7.72/7.95 tff(146,plain,
% 7.72/7.95 (![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[145, 135])).
% 7.72/7.95 tff(147,plain,
% 7.72/7.95 (((~![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))) | (holdsAt(spinning, plus(n2, n1)) | (~happens(pull, n2)) | (~initiates(pull, spinning, n2)))) <=> ((~![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))) | holdsAt(spinning, plus(n2, n1)) | (~happens(pull, n2)) | (~initiates(pull, spinning, n2)))),
% 7.72/7.95 inference(rewrite,[status(thm)],[])).
% 7.72/7.95 tff(148,plain,
% 7.72/7.95 ((~![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))) | (holdsAt(spinning, plus(n2, n1)) | (~happens(pull, n2)) | (~initiates(pull, spinning, n2)))),
% 7.72/7.95 inference(quant_inst,[status(thm)],[])).
% 7.72/7.95 tff(149,plain,
% 7.72/7.95 ((~![Event: $i, Time: $i, Fluent: $i] : (holdsAt(Fluent, plus(Time, n1)) | (~happens(Event, Time)) | (~initiates(Event, Fluent, Time)))) | holdsAt(spinning, plus(n2, n1)) | (~happens(pull, n2)) | (~initiates(pull, spinning, n2))),
% 7.72/7.95 inference(modus_ponens,[status(thm)],[148, 147])).
% 7.72/7.95 tff(150,plain,
% 7.72/7.95 ($false),
% 7.72/7.95 inference(unit_resolution,[status(thm)],[149, 146, 133, 112, 78])).
% 7.72/7.95 % SZS output end Proof
% 7.72/7.96 % E exiting
%------------------------------------------------------------------------------