%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ005-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:23:07 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PUZ005-1 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n003.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 : Fri Jun 20 02:39:24 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(member_type, type, (
% 0.13/0.39 member: ( $i * $i ) > $o)).
% 0.13/0.39 tff(lying_days_type, type, (
% 0.13/0.39 lying_days: $i > $i)).
% 0.13/0.39 tff(unicorn_type, type, (
% 0.13/0.39 unicorn: $i)).
% 0.13/0.39 tff(today_type, type, (
% 0.13/0.39 today: $i)).
% 0.13/0.39 tff(saturday_type, type, (
% 0.13/0.39 saturday: $i > $o)).
% 0.13/0.39 tff(thursday_type, type, (
% 0.13/0.39 thursday: $i > $o)).
% 0.13/0.39 tff(yesterday_type, type, (
% 0.13/0.39 yesterday: $i > $i)).
% 0.13/0.39 tff(friday_type, type, (
% 0.13/0.39 friday: $i > $o)).
% 0.13/0.39 tff(admits_type, type, (
% 0.13/0.39 admits: ( $i * $i * $i ) > $o)).
% 0.13/0.39 tff(lion_type, type, (
% 0.13/0.39 lion: $i)).
% 0.13/0.39 tff(tuesday_type, type, (
% 0.13/0.39 tuesday: $i > $o)).
% 0.13/0.39 tff(monday_type, type, (
% 0.13/0.39 monday: $i > $o)).
% 0.13/0.39 tff(wednesday_type, type, (
% 0.13/0.39 wednesday: $i > $o)).
% 0.13/0.39 tff(sunday_type, type, (
% 0.13/0.39 sunday: $i > $o)).
% 0.13/0.39 tff(1,assumption,(thursday(yesterday(today))), introduced(assumption)).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 (^[X: $i] : refl(((~thursday(X)) | member(X, lying_days(unicorn))) <=> ((~thursday(X)) | member(X, lying_days(unicorn))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 (![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn))) <=> ![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 (![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn))) <=> ![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(5,axiom,(![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unicorn_lies_on_thursday')).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.13/0.39 tff(7,plain,(
% 0.13/0.39 ![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[6])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 (((~![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))) | ((~thursday(yesterday(today))) | member(yesterday(today), lying_days(unicorn)))) <=> ((~![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))) | (~thursday(yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 ((~![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))) | ((~thursday(yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(11,plain,
% 0.13/0.39 ((~![X: $i] : ((~thursday(X)) | member(X, lying_days(unicorn)))) | (~thursday(yesterday(today))) | member(yesterday(today), lying_days(unicorn))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (member(yesterday(today), lying_days(unicorn))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[11, 8, 1])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (^[X: $i] : refl((friday(X) | (~thursday(yesterday(X)))) <=> (friday(X) | (~thursday(yesterday(X)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (![X: $i] : (friday(X) | (~thursday(yesterday(X)))) <=> ![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[13])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (![X: $i] : (friday(X) | (~thursday(yesterday(X)))) <=> ![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (^[X: $i] : rewrite(((~thursday(yesterday(X))) | friday(X)) <=> (friday(X) | (~thursday(yesterday(X)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 (![X: $i] : ((~thursday(yesterday(X))) | friday(X)) <=> ![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[16])).
% 0.13/0.39 tff(18,axiom,(![X: $i] : ((~thursday(yesterday(X))) | friday(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thursday_yesterday')).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 (![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.13/0.39 tff(21,plain,(
% 0.13/0.39 ![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(skolemize,[status(sab)],[20])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 (![X: $i] : (friday(X) | (~thursday(yesterday(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 (((~![X: $i] : (friday(X) | (~thursday(yesterday(X))))) | (friday(today) | (~thursday(yesterday(today))))) <=> ((~![X: $i] : (friday(X) | (~thursday(yesterday(X))))) | friday(today) | (~thursday(yesterday(today))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 ((~![X: $i] : (friday(X) | (~thursday(yesterday(X))))) | (friday(today) | (~thursday(yesterday(today))))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 ((~![X: $i] : (friday(X) | (~thursday(yesterday(X))))) | friday(today) | (~thursday(yesterday(today)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.13/0.39 tff(26,plain,
% 0.13/0.39 (friday(today) | (~thursday(yesterday(today)))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 (friday(today)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[26, 1])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 (^[X: $i] : refl(((~friday(X)) | member(X, lying_days(unicorn))) <=> ((~friday(X)) | member(X, lying_days(unicorn))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn))) <=> ![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[28])).
% 0.13/0.39 tff(30,plain,
% 0.13/0.39 (![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn))) <=> ![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(31,axiom,(![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unicorn_lies_on_friday')).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.13/0.39 tff(33,plain,(
% 0.13/0.39 ![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[32])).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 (![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | ((~friday(today)) | member(today, lying_days(unicorn)))) <=> ((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | (~friday(today)) | member(today, lying_days(unicorn)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(36,plain,
% 0.13/0.39 ((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | ((~friday(today)) | member(today, lying_days(unicorn)))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(37,plain,
% 0.13/0.39 ((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | (~friday(today)) | member(today, lying_days(unicorn))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.13/0.39 tff(38,plain,
% 0.13/0.39 (member(today, lying_days(unicorn))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[37, 34, 27])).
% 0.13/0.39 tff(39,plain,
% 0.13/0.39 (admits(unicorn, today, yesterday(today)) <=> admits(unicorn, today, yesterday(today))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(40,axiom,(admits(unicorn, today, yesterday(today))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','admissions6')).
% 0.13/0.39 tff(41,plain,
% 0.13/0.39 (admits(unicorn, today, yesterday(today))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.13/0.39 tff(42,plain,
% 0.13/0.39 (^[Y: $i, T: $i, X: $i] : refl(((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T)))) <=> ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(43,plain,
% 0.13/0.39 (![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T)))) <=> ![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[42])).
% 0.13/0.39 tff(44,plain,
% 0.13/0.39 (![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T)))) <=> ![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 (^[Y: $i, T: $i, X: $i] : trans(monotonicity(rewrite(((~member(X, lying_days(T))) | (~admits(T, X, Y))) <=> ((~admits(T, X, Y)) | (~member(X, lying_days(T))))), ((((~member(X, lying_days(T))) | (~admits(T, X, Y))) | (~member(Y, lying_days(T)))) <=> (((~admits(T, X, Y)) | (~member(X, lying_days(T)))) | (~member(Y, lying_days(T)))))), rewrite((((~admits(T, X, Y)) | (~member(X, lying_days(T)))) | (~member(Y, lying_days(T)))) <=> ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))), ((((~member(X, lying_days(T))) | (~admits(T, X, Y))) | (~member(Y, lying_days(T)))) <=> ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 (![Y: $i, T: $i, X: $i] : (((~member(X, lying_days(T))) | (~admits(T, X, Y))) | (~member(Y, lying_days(T)))) <=> ![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[45])).
% 0.13/0.40 tff(47,axiom,(![Y: $i, T: $i, X: $i] : (((~member(X, lying_days(T))) | (~admits(T, X, Y))) | (~member(Y, lying_days(T))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','admissions3')).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 (![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.13/0.40 tff(49,plain,
% 0.13/0.40 (![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.13/0.40 tff(50,plain,(
% 0.13/0.40 ![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[49])).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 (![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 (((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | ((~member(today, lying_days(unicorn))) | (~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))))) <=> ((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | (~member(today, lying_days(unicorn))) | (~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(53,plain,
% 0.13/0.40 (((~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))) | (~member(today, lying_days(unicorn)))) <=> ((~member(today, lying_days(unicorn))) | (~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(54,plain,
% 0.13/0.40 (((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | ((~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))) | (~member(today, lying_days(unicorn))))) <=> ((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | ((~member(today, lying_days(unicorn))) | (~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn)))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[53])).
% 0.13/0.40 tff(55,plain,
% 0.13/0.40 (((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | ((~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))) | (~member(today, lying_days(unicorn))))) <=> ((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | (~member(today, lying_days(unicorn))) | (~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))))),
% 0.13/0.40 inference(transitivity,[status(thm)],[54, 52])).
% 0.13/0.40 tff(56,plain,
% 0.13/0.40 ((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | ((~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn))) | (~member(today, lying_days(unicorn))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(57,plain,
% 0.13/0.40 ((~![Y: $i, T: $i, X: $i] : ((~admits(T, X, Y)) | (~member(Y, lying_days(T))) | (~member(X, lying_days(T))))) | (~member(today, lying_days(unicorn))) | (~admits(unicorn, today, yesterday(today))) | (~member(yesterday(today), lying_days(unicorn)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.13/0.40 tff(58,plain,
% 0.13/0.40 ((~member(today, lying_days(unicorn))) | (~member(yesterday(today), lying_days(unicorn)))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[57, 51, 41])).
% 0.13/0.40 tff(59,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[58, 38, 12])).
% 0.13/0.40 tff(60,plain,(~thursday(yesterday(today))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(61,assumption,(saturday(yesterday(today))), introduced(assumption)).
% 0.13/0.40 tff(62,plain,
% 0.13/0.40 (^[X: $i] : refl(((~tuesday(X)) | (~saturday(X))) <=> ((~tuesday(X)) | (~saturday(X))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(63,plain,
% 0.13/0.40 (![X: $i] : ((~tuesday(X)) | (~saturday(X))) <=> ![X: $i] : ((~tuesday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[62])).
% 0.13/0.40 tff(64,plain,
% 0.13/0.40 (![X: $i] : ((~tuesday(X)) | (~saturday(X))) <=> ![X: $i] : ((~tuesday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(65,axiom,(![X: $i] : ((~tuesday(X)) | (~saturday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tuesday_not_saturday')).
% 0.13/0.40 tff(66,plain,
% 0.13/0.40 (![X: $i] : ((~tuesday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.13/0.40 tff(67,plain,(
% 0.13/0.40 ![X: $i] : ((~tuesday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[66])).
% 0.13/0.40 tff(68,plain,
% 0.13/0.40 (![X: $i] : ((~tuesday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.13/0.40 tff(69,plain,
% 0.13/0.40 (((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | ((~saturday(yesterday(today))) | (~tuesday(yesterday(today))))) <=> ((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | (~saturday(yesterday(today))) | (~tuesday(yesterday(today))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(70,plain,
% 0.13/0.40 (((~tuesday(yesterday(today))) | (~saturday(yesterday(today)))) <=> ((~saturday(yesterday(today))) | (~tuesday(yesterday(today))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(71,plain,
% 0.13/0.40 (((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | ((~tuesday(yesterday(today))) | (~saturday(yesterday(today))))) <=> ((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | ((~saturday(yesterday(today))) | (~tuesday(yesterday(today)))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[70])).
% 0.13/0.40 tff(72,plain,
% 0.13/0.40 (((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | ((~tuesday(yesterday(today))) | (~saturday(yesterday(today))))) <=> ((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | (~saturday(yesterday(today))) | (~tuesday(yesterday(today))))),
% 0.13/0.40 inference(transitivity,[status(thm)],[71, 69])).
% 0.13/0.40 tff(73,plain,
% 0.13/0.40 ((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | ((~tuesday(yesterday(today))) | (~saturday(yesterday(today))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(74,plain,
% 0.13/0.40 ((~![X: $i] : ((~tuesday(X)) | (~saturday(X)))) | (~saturday(yesterday(today))) | (~tuesday(yesterday(today)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.13/0.40 tff(75,plain,
% 0.13/0.40 (~tuesday(yesterday(today))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[74, 68, 61])).
% 0.13/0.40 tff(76,plain,
% 0.13/0.40 (^[X: $i] : refl(((~monday(X)) | (~saturday(X))) <=> ((~monday(X)) | (~saturday(X))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(77,plain,
% 0.13/0.40 (![X: $i] : ((~monday(X)) | (~saturday(X))) <=> ![X: $i] : ((~monday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[76])).
% 0.13/0.40 tff(78,plain,
% 0.13/0.40 (![X: $i] : ((~monday(X)) | (~saturday(X))) <=> ![X: $i] : ((~monday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(79,axiom,(![X: $i] : ((~monday(X)) | (~saturday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','monday_not_saturday')).
% 0.13/0.40 tff(80,plain,
% 0.13/0.40 (![X: $i] : ((~monday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.13/0.40 tff(81,plain,(
% 0.13/0.40 ![X: $i] : ((~monday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[80])).
% 0.13/0.40 tff(82,plain,
% 0.13/0.40 (![X: $i] : ((~monday(X)) | (~saturday(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.13/0.40 tff(83,plain,
% 0.13/0.40 (((~![X: $i] : ((~monday(X)) | (~saturday(X)))) | ((~monday(yesterday(today))) | (~saturday(yesterday(today))))) <=> ((~![X: $i] : ((~monday(X)) | (~saturday(X)))) | (~monday(yesterday(today))) | (~saturday(yesterday(today))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(84,plain,
% 0.13/0.40 ((~![X: $i] : ((~monday(X)) | (~saturday(X)))) | ((~monday(yesterday(today))) | (~saturday(yesterday(today))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(85,plain,
% 0.13/0.40 ((~![X: $i] : ((~monday(X)) | (~saturday(X)))) | (~monday(yesterday(today))) | (~saturday(yesterday(today)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.13/0.40 tff(86,plain,
% 0.13/0.40 (~monday(yesterday(today))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[85, 82, 61])).
% 0.13/0.40 tff(87,plain,
% 0.13/0.40 ((~thursday(today)) <=> (~thursday(today))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(88,axiom,(~thursday(today)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_today_is_thursday')).
% 0.13/0.40 tff(89,plain,
% 0.13/0.40 (~thursday(today)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.13/0.40 tff(90,plain,
% 0.13/0.40 (^[X: $i] : refl((thursday(X) | (~wednesday(yesterday(X)))) <=> (thursday(X) | (~wednesday(yesterday(X)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(91,plain,
% 0.13/0.40 (![X: $i] : (thursday(X) | (~wednesday(yesterday(X)))) <=> ![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[90])).
% 0.13/0.40 tff(92,plain,
% 0.13/0.40 (![X: $i] : (thursday(X) | (~wednesday(yesterday(X)))) <=> ![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(93,plain,
% 0.13/0.40 (^[X: $i] : rewrite(((~wednesday(yesterday(X))) | thursday(X)) <=> (thursday(X) | (~wednesday(yesterday(X)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(94,plain,
% 0.13/0.40 (![X: $i] : ((~wednesday(yesterday(X))) | thursday(X)) <=> ![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[93])).
% 0.13/0.40 tff(95,axiom,(![X: $i] : ((~wednesday(yesterday(X))) | thursday(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','wednesday_yesterday')).
% 0.13/0.40 tff(96,plain,
% 0.13/0.40 (![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.13/0.40 tff(97,plain,
% 0.13/0.40 (![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[96, 92])).
% 0.13/0.40 tff(98,plain,(
% 0.13/0.40 ![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[97])).
% 0.13/0.40 tff(99,plain,
% 0.13/0.40 (![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[98, 91])).
% 0.13/0.40 tff(100,plain,
% 0.13/0.40 (((~![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))) | (thursday(today) | (~wednesday(yesterday(today))))) <=> ((~![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))) | thursday(today) | (~wednesday(yesterday(today))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(101,plain,
% 0.13/0.40 ((~![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))) | (thursday(today) | (~wednesday(yesterday(today))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(102,plain,
% 0.13/0.40 ((~![X: $i] : (thursday(X) | (~wednesday(yesterday(X))))) | thursday(today) | (~wednesday(yesterday(today)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.13/0.40 tff(103,plain,
% 0.13/0.40 (~wednesday(yesterday(today))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[102, 99, 89])).
% 0.13/0.40 tff(104,plain,
% 0.13/0.40 (^[X: $i] : refl((wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion)))) <=> (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(105,plain,
% 0.13/0.40 (![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion)))) <=> ![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[104])).
% 0.20/0.40 tff(106,plain,
% 0.20/0.40 (![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion)))) <=> ![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(107,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~member(X, lying_days(lion))) | monday(X)) <=> (monday(X) | (~member(X, lying_days(lion))))), ((((~member(X, lying_days(lion))) | monday(X)) | tuesday(X)) <=> ((monday(X) | (~member(X, lying_days(lion)))) | tuesday(X)))), rewrite(((monday(X) | (~member(X, lying_days(lion)))) | tuesday(X)) <=> (tuesday(X) | monday(X) | (~member(X, lying_days(lion))))), ((((~member(X, lying_days(lion))) | monday(X)) | tuesday(X)) <=> (tuesday(X) | monday(X) | (~member(X, lying_days(lion)))))), (((((~member(X, lying_days(lion))) | monday(X)) | tuesday(X)) | wednesday(X)) <=> ((tuesday(X) | monday(X) | (~member(X, lying_days(lion)))) | wednesday(X)))), rewrite(((tuesday(X) | monday(X) | (~member(X, lying_days(lion)))) | wednesday(X)) <=> (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))), (((((~member(X, lying_days(lion))) | monday(X)) | tuesday(X)) | wednesday(X)) <=> (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(108,plain,
% 0.20/0.40 (![X: $i] : ((((~member(X, lying_days(lion))) | monday(X)) | tuesday(X)) | wednesday(X)) <=> ![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[107])).
% 0.20/0.40 tff(109,axiom,(![X: $i] : ((((~member(X, lying_days(lion))) | monday(X)) | tuesday(X)) | wednesday(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lions_lying_days')).
% 0.20/0.40 tff(110,plain,
% 0.20/0.40 (![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.20/0.40 tff(111,plain,
% 0.20/0.40 (![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[110, 106])).
% 0.20/0.40 tff(112,plain,(
% 0.20/0.40 ![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(skolemize,[status(sab)],[111])).
% 0.20/0.40 tff(113,plain,
% 0.20/0.40 (![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[112, 105])).
% 0.20/0.40 tff(114,plain,
% 0.20/0.40 (((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | (wednesday(yesterday(today)) | tuesday(yesterday(today)) | monday(yesterday(today)) | (~member(yesterday(today), lying_days(lion))))) <=> ((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | wednesday(yesterday(today)) | tuesday(yesterday(today)) | monday(yesterday(today)) | (~member(yesterday(today), lying_days(lion))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(115,plain,
% 0.20/0.40 ((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | (wednesday(yesterday(today)) | tuesday(yesterday(today)) | monday(yesterday(today)) | (~member(yesterday(today), lying_days(lion))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(116,plain,
% 0.20/0.40 ((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | wednesday(yesterday(today)) | tuesday(yesterday(today)) | monday(yesterday(today)) | (~member(yesterday(today), lying_days(lion)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.20/0.40 tff(117,plain,
% 0.20/0.40 (tuesday(yesterday(today)) | monday(yesterday(today)) | (~member(yesterday(today), lying_days(lion)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[116, 113, 103])).
% 0.20/0.40 tff(118,plain,
% 0.20/0.40 (~member(yesterday(today), lying_days(lion))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[117, 86, 75])).
% 0.20/0.40 tff(119,plain,
% 0.20/0.40 (admits(lion, today, yesterday(today)) <=> admits(lion, today, yesterday(today))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(120,axiom,(admits(lion, today, yesterday(today))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','admissions5')).
% 0.20/0.40 tff(121,plain,
% 0.20/0.40 (admits(lion, today, yesterday(today))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.20/0.40 tff(122,plain,
% 0.20/0.40 (^[Y: $i, T: $i, X: $i] : refl((member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T))) <=> (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(123,plain,
% 0.20/0.40 (![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T))) <=> ![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[122])).
% 0.20/0.40 tff(124,plain,
% 0.20/0.40 (![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T))) <=> ![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(125,plain,
% 0.20/0.40 (^[Y: $i, T: $i, X: $i] : trans(monotonicity(rewrite((member(X, lying_days(T)) | (~admits(T, X, Y))) <=> ((~admits(T, X, Y)) | member(X, lying_days(T)))), (((member(X, lying_days(T)) | (~admits(T, X, Y))) | member(Y, lying_days(T))) <=> (((~admits(T, X, Y)) | member(X, lying_days(T))) | member(Y, lying_days(T))))), rewrite((((~admits(T, X, Y)) | member(X, lying_days(T))) | member(Y, lying_days(T))) <=> (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))), (((member(X, lying_days(T)) | (~admits(T, X, Y))) | member(Y, lying_days(T))) <=> (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(126,plain,
% 0.20/0.40 (![Y: $i, T: $i, X: $i] : ((member(X, lying_days(T)) | (~admits(T, X, Y))) | member(Y, lying_days(T))) <=> ![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[125])).
% 0.20/0.40 tff(127,axiom,(![Y: $i, T: $i, X: $i] : ((member(X, lying_days(T)) | (~admits(T, X, Y))) | member(Y, lying_days(T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','admissions1')).
% 0.20/0.40 tff(128,plain,
% 0.20/0.40 (![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.20/0.40 tff(129,plain,
% 0.20/0.40 (![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[128, 124])).
% 0.20/0.40 tff(130,plain,(
% 0.20/0.40 ![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[129])).
% 0.20/0.40 tff(131,plain,
% 0.20/0.40 (![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.20/0.40 tff(132,plain,
% 0.20/0.40 (((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | ((~admits(lion, today, yesterday(today))) | member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion)))) <=> ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (~admits(lion, today, yesterday(today))) | member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(133,plain,
% 0.20/0.40 ((member(yesterday(today), lying_days(lion)) | (~admits(lion, today, yesterday(today))) | member(today, lying_days(lion))) <=> ((~admits(lion, today, yesterday(today))) | member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(134,plain,
% 0.20/0.40 (((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(yesterday(today), lying_days(lion)) | (~admits(lion, today, yesterday(today))) | member(today, lying_days(lion)))) <=> ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | ((~admits(lion, today, yesterday(today))) | member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[133])).
% 0.20/0.41 tff(135,plain,
% 0.20/0.41 (((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(yesterday(today), lying_days(lion)) | (~admits(lion, today, yesterday(today))) | member(today, lying_days(lion)))) <=> ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (~admits(lion, today, yesterday(today))) | member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[134, 132])).
% 0.20/0.41 tff(136,plain,
% 0.20/0.41 ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(yesterday(today), lying_days(lion)) | (~admits(lion, today, yesterday(today))) | member(today, lying_days(lion)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(137,plain,
% 0.20/0.41 ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (~admits(lion, today, yesterday(today))) | member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.41 tff(138,plain,
% 0.20/0.41 (member(yesterday(today), lying_days(lion)) | member(today, lying_days(lion))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[137, 131, 121])).
% 0.20/0.41 tff(139,plain,
% 0.20/0.41 (member(today, lying_days(lion))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[138, 118])).
% 0.20/0.41 tff(140,plain,
% 0.20/0.41 (^[X: $i] : refl((sunday(X) | (~saturday(yesterday(X)))) <=> (sunday(X) | (~saturday(yesterday(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(141,plain,
% 0.20/0.41 (![X: $i] : (sunday(X) | (~saturday(yesterday(X)))) <=> ![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[140])).
% 0.20/0.41 tff(142,plain,
% 0.20/0.41 (![X: $i] : (sunday(X) | (~saturday(yesterday(X)))) <=> ![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(143,plain,
% 0.20/0.41 (^[X: $i] : rewrite(((~saturday(yesterday(X))) | sunday(X)) <=> (sunday(X) | (~saturday(yesterday(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(144,plain,
% 0.20/0.41 (![X: $i] : ((~saturday(yesterday(X))) | sunday(X)) <=> ![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[143])).
% 0.20/0.41 tff(145,axiom,(![X: $i] : ((~saturday(yesterday(X))) | sunday(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','saturday_yesterday')).
% 0.20/0.41 tff(146,plain,
% 0.20/0.41 (![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.41 tff(147,plain,
% 0.20/0.41 (![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.20/0.41 tff(148,plain,(
% 0.20/0.41 ![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(skolemize,[status(sab)],[147])).
% 0.20/0.41 tff(149,plain,
% 0.20/0.41 (![X: $i] : (sunday(X) | (~saturday(yesterday(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[148, 141])).
% 0.20/0.41 tff(150,plain,
% 0.20/0.41 (((~![X: $i] : (sunday(X) | (~saturday(yesterday(X))))) | (sunday(today) | (~saturday(yesterday(today))))) <=> ((~![X: $i] : (sunday(X) | (~saturday(yesterday(X))))) | sunday(today) | (~saturday(yesterday(today))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(151,plain,
% 0.20/0.41 ((~![X: $i] : (sunday(X) | (~saturday(yesterday(X))))) | (sunday(today) | (~saturday(yesterday(today))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(152,plain,
% 0.20/0.41 ((~![X: $i] : (sunday(X) | (~saturday(yesterday(X))))) | sunday(today) | (~saturday(yesterday(today)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.20/0.41 tff(153,plain,
% 0.20/0.41 (sunday(today) | (~saturday(yesterday(today)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[152, 149])).
% 0.20/0.41 tff(154,plain,
% 0.20/0.41 (sunday(today)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[153, 61])).
% 0.20/0.41 tff(155,plain,
% 0.20/0.41 (^[X: $i] : refl(((~monday(X)) | (~sunday(X))) <=> ((~monday(X)) | (~sunday(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(156,plain,
% 0.20/0.41 (![X: $i] : ((~monday(X)) | (~sunday(X))) <=> ![X: $i] : ((~monday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[155])).
% 0.20/0.41 tff(157,plain,
% 0.20/0.41 (![X: $i] : ((~monday(X)) | (~sunday(X))) <=> ![X: $i] : ((~monday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(158,axiom,(![X: $i] : ((~monday(X)) | (~sunday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','monday_not_sunday')).
% 0.20/0.41 tff(159,plain,
% 0.20/0.41 (![X: $i] : ((~monday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.20/0.41 tff(160,plain,(
% 0.20/0.41 ![X: $i] : ((~monday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[159])).
% 0.20/0.41 tff(161,plain,
% 0.20/0.41 (![X: $i] : ((~monday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.20/0.41 tff(162,plain,
% 0.20/0.41 (((~![X: $i] : ((~monday(X)) | (~sunday(X)))) | ((~monday(today)) | (~sunday(today)))) <=> ((~![X: $i] : ((~monday(X)) | (~sunday(X)))) | (~monday(today)) | (~sunday(today)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(163,plain,
% 0.20/0.41 ((~![X: $i] : ((~monday(X)) | (~sunday(X)))) | ((~monday(today)) | (~sunday(today)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(164,plain,
% 0.20/0.41 ((~![X: $i] : ((~monday(X)) | (~sunday(X)))) | (~monday(today)) | (~sunday(today))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.20/0.41 tff(165,plain,
% 0.20/0.41 (~monday(today)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[164, 161, 154])).
% 0.20/0.41 tff(166,plain,
% 0.20/0.41 (^[X: $i] : refl(((~tuesday(X)) | (~sunday(X))) <=> ((~tuesday(X)) | (~sunday(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(167,plain,
% 0.20/0.41 (![X: $i] : ((~tuesday(X)) | (~sunday(X))) <=> ![X: $i] : ((~tuesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[166])).
% 0.20/0.41 tff(168,plain,
% 0.20/0.41 (![X: $i] : ((~tuesday(X)) | (~sunday(X))) <=> ![X: $i] : ((~tuesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(169,axiom,(![X: $i] : ((~tuesday(X)) | (~sunday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tuesday_not_sunday')).
% 0.20/0.41 tff(170,plain,
% 0.20/0.41 (![X: $i] : ((~tuesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.20/0.41 tff(171,plain,(
% 0.20/0.41 ![X: $i] : ((~tuesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[170])).
% 0.20/0.41 tff(172,plain,
% 0.20/0.41 (![X: $i] : ((~tuesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[171, 167])).
% 0.20/0.41 tff(173,plain,
% 0.20/0.41 (((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | ((~sunday(today)) | (~tuesday(today)))) <=> ((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | (~sunday(today)) | (~tuesday(today)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(174,plain,
% 0.20/0.41 (((~tuesday(today)) | (~sunday(today))) <=> ((~sunday(today)) | (~tuesday(today)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(175,plain,
% 0.20/0.41 (((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | ((~tuesday(today)) | (~sunday(today)))) <=> ((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | ((~sunday(today)) | (~tuesday(today))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[174])).
% 0.20/0.41 tff(176,plain,
% 0.20/0.41 (((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | ((~tuesday(today)) | (~sunday(today)))) <=> ((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | (~sunday(today)) | (~tuesday(today)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[175, 173])).
% 0.20/0.41 tff(177,plain,
% 0.20/0.41 ((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | ((~tuesday(today)) | (~sunday(today)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(178,plain,
% 0.20/0.41 ((~![X: $i] : ((~tuesday(X)) | (~sunday(X)))) | (~sunday(today)) | (~tuesday(today))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.20/0.41 tff(179,plain,
% 0.20/0.41 (~tuesday(today)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[178, 172, 154])).
% 0.20/0.41 tff(180,plain,
% 0.20/0.41 (^[X: $i] : refl(((~wednesday(X)) | (~sunday(X))) <=> ((~wednesday(X)) | (~sunday(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(181,plain,
% 0.20/0.41 (![X: $i] : ((~wednesday(X)) | (~sunday(X))) <=> ![X: $i] : ((~wednesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[180])).
% 0.20/0.41 tff(182,plain,
% 0.20/0.41 (![X: $i] : ((~wednesday(X)) | (~sunday(X))) <=> ![X: $i] : ((~wednesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(183,axiom,(![X: $i] : ((~wednesday(X)) | (~sunday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','wednesday_not_sunday')).
% 0.20/0.41 tff(184,plain,
% 0.20/0.41 (![X: $i] : ((~wednesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.20/0.41 tff(185,plain,(
% 0.20/0.41 ![X: $i] : ((~wednesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[184])).
% 0.20/0.41 tff(186,plain,
% 0.20/0.41 (![X: $i] : ((~wednesday(X)) | (~sunday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[185, 181])).
% 0.20/0.41 tff(187,plain,
% 0.20/0.41 (((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | ((~sunday(today)) | (~wednesday(today)))) <=> ((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | (~sunday(today)) | (~wednesday(today)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(188,plain,
% 0.20/0.41 (((~wednesday(today)) | (~sunday(today))) <=> ((~sunday(today)) | (~wednesday(today)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(189,plain,
% 0.20/0.41 (((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | ((~wednesday(today)) | (~sunday(today)))) <=> ((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | ((~sunday(today)) | (~wednesday(today))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[188])).
% 0.20/0.41 tff(190,plain,
% 0.20/0.41 (((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | ((~wednesday(today)) | (~sunday(today)))) <=> ((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | (~sunday(today)) | (~wednesday(today)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[189, 187])).
% 0.20/0.41 tff(191,plain,
% 0.20/0.41 ((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | ((~wednesday(today)) | (~sunday(today)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(192,plain,
% 0.20/0.41 ((~![X: $i] : ((~wednesday(X)) | (~sunday(X)))) | (~sunday(today)) | (~wednesday(today))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.20/0.41 tff(193,plain,
% 0.20/0.41 (~wednesday(today)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[192, 186, 154])).
% 0.20/0.41 tff(194,plain,
% 0.20/0.41 (((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | (wednesday(today) | tuesday(today) | monday(today) | (~member(today, lying_days(lion))))) <=> ((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | wednesday(today) | tuesday(today) | monday(today) | (~member(today, lying_days(lion))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(195,plain,
% 0.20/0.41 ((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | (wednesday(today) | tuesday(today) | monday(today) | (~member(today, lying_days(lion))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(196,plain,
% 0.20/0.41 ((~![X: $i] : (wednesday(X) | tuesday(X) | monday(X) | (~member(X, lying_days(lion))))) | wednesday(today) | tuesday(today) | monday(today) | (~member(today, lying_days(lion)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.20/0.41 tff(197,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[196, 113, 193, 179, 165, 139])).
% 0.20/0.41 tff(198,plain,(~saturday(yesterday(today))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(199,assumption,(~saturday(today)), introduced(assumption)).
% 0.20/0.41 tff(200,plain,
% 0.20/0.41 (^[X: $i] : refl((saturday(X) | (~friday(yesterday(X)))) <=> (saturday(X) | (~friday(yesterday(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(201,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | (~friday(yesterday(X)))) <=> ![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[200])).
% 0.20/0.41 tff(202,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | (~friday(yesterday(X)))) <=> ![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(203,plain,
% 0.20/0.41 (^[X: $i] : rewrite(((~friday(yesterday(X))) | saturday(X)) <=> (saturday(X) | (~friday(yesterday(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(204,plain,
% 0.20/0.41 (![X: $i] : ((~friday(yesterday(X))) | saturday(X)) <=> ![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[203])).
% 0.20/0.41 tff(205,axiom,(![X: $i] : ((~friday(yesterday(X))) | saturday(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','friday_yesterday')).
% 0.20/0.41 tff(206,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.20/0.41 tff(207,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.20/0.41 tff(208,plain,(
% 0.20/0.41 ![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(skolemize,[status(sab)],[207])).
% 0.20/0.41 tff(209,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | (~friday(yesterday(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.20/0.41 tff(210,plain,
% 0.20/0.41 (((~![X: $i] : (saturday(X) | (~friday(yesterday(X))))) | (saturday(today) | (~friday(yesterday(today))))) <=> ((~![X: $i] : (saturday(X) | (~friday(yesterday(X))))) | saturday(today) | (~friday(yesterday(today))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(211,plain,
% 0.20/0.41 ((~![X: $i] : (saturday(X) | (~friday(yesterday(X))))) | (saturday(today) | (~friday(yesterday(today))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(212,plain,
% 0.20/0.41 ((~![X: $i] : (saturday(X) | (~friday(yesterday(X))))) | saturday(today) | (~friday(yesterday(today)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.20/0.41 tff(213,plain,
% 0.20/0.41 (saturday(today) | (~friday(yesterday(today)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[212, 209])).
% 0.20/0.41 tff(214,plain,
% 0.20/0.41 (~friday(yesterday(today))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[213, 199])).
% 0.20/0.41 tff(215,assumption,(~thursday(yesterday(today))), introduced(assumption)).
% 0.20/0.41 tff(216,assumption,(~saturday(yesterday(today))), introduced(assumption)).
% 0.20/0.41 tff(217,plain,
% 0.20/0.41 (^[X: $i] : refl((saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))) <=> (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(218,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))) <=> ![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[217])).
% 0.20/0.41 tff(219,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))) <=> ![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(220,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~member(X, lying_days(unicorn))) | thursday(X)) <=> (thursday(X) | (~member(X, lying_days(unicorn))))), ((((~member(X, lying_days(unicorn))) | thursday(X)) | friday(X)) <=> ((thursday(X) | (~member(X, lying_days(unicorn)))) | friday(X)))), rewrite(((thursday(X) | (~member(X, lying_days(unicorn)))) | friday(X)) <=> (friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))), ((((~member(X, lying_days(unicorn))) | thursday(X)) | friday(X)) <=> (friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))))), (((((~member(X, lying_days(unicorn))) | thursday(X)) | friday(X)) | saturday(X)) <=> ((friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))) | saturday(X)))), rewrite(((friday(X) | thursday(X) | (~member(X, lying_days(unicorn)))) | saturday(X)) <=> (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))), (((((~member(X, lying_days(unicorn))) | thursday(X)) | friday(X)) | saturday(X)) <=> (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(221,plain,
% 0.20/0.41 (![X: $i] : ((((~member(X, lying_days(unicorn))) | thursday(X)) | friday(X)) | saturday(X)) <=> ![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[220])).
% 0.20/0.41 tff(222,axiom,(![X: $i] : ((((~member(X, lying_days(unicorn))) | thursday(X)) | friday(X)) | saturday(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unicorns_lying_days')).
% 0.20/0.41 tff(223,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.20/0.41 tff(224,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[223, 219])).
% 0.20/0.41 tff(225,plain,(
% 0.20/0.41 ![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(skolemize,[status(sab)],[224])).
% 0.20/0.41 tff(226,plain,
% 0.20/0.41 (![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[225, 218])).
% 0.20/0.41 tff(227,plain,
% 0.20/0.41 (((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (saturday(yesterday(today)) | friday(yesterday(today)) | thursday(yesterday(today)) | (~member(yesterday(today), lying_days(unicorn))))) <=> ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | saturday(yesterday(today)) | friday(yesterday(today)) | thursday(yesterday(today)) | (~member(yesterday(today), lying_days(unicorn))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(228,plain,
% 0.20/0.41 ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (saturday(yesterday(today)) | friday(yesterday(today)) | thursday(yesterday(today)) | (~member(yesterday(today), lying_days(unicorn))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(229,plain,
% 0.20/0.41 ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | saturday(yesterday(today)) | friday(yesterday(today)) | thursday(yesterday(today)) | (~member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.20/0.41 tff(230,plain,
% 0.20/0.41 (friday(yesterday(today)) | thursday(yesterday(today)) | (~member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[229, 226, 216])).
% 0.20/0.41 tff(231,plain,
% 0.20/0.41 (~member(yesterday(today), lying_days(unicorn))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[230, 215, 214])).
% 0.20/0.41 tff(232,plain,
% 0.20/0.41 (^[X: $i] : refl(((~friday(X)) | thursday(yesterday(X))) <=> ((~friday(X)) | thursday(yesterday(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(233,plain,
% 0.20/0.41 (![X: $i] : ((~friday(X)) | thursday(yesterday(X))) <=> ![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[232])).
% 0.20/0.41 tff(234,plain,
% 0.20/0.41 (![X: $i] : ((~friday(X)) | thursday(yesterday(X))) <=> ![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(235,plain,
% 0.20/0.41 (^[X: $i] : rewrite((thursday(yesterday(X)) | (~friday(X))) <=> ((~friday(X)) | thursday(yesterday(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(236,plain,
% 0.20/0.41 (![X: $i] : (thursday(yesterday(X)) | (~friday(X))) <=> ![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[235])).
% 0.20/0.41 tff(237,axiom,(![X: $i] : (thursday(yesterday(X)) | (~friday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','yesterday_thursday')).
% 0.20/0.41 tff(238,plain,
% 0.20/0.41 (![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.20/0.41 tff(239,plain,
% 0.20/0.41 (![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[238, 234])).
% 0.20/0.41 tff(240,plain,(
% 0.20/0.41 ![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[239])).
% 0.20/0.41 tff(241,plain,
% 0.20/0.41 (![X: $i] : ((~friday(X)) | thursday(yesterday(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[240, 233])).
% 0.20/0.41 tff(242,plain,
% 0.20/0.41 (((~![X: $i] : ((~friday(X)) | thursday(yesterday(X)))) | ((~friday(today)) | thursday(yesterday(today)))) <=> ((~![X: $i] : ((~friday(X)) | thursday(yesterday(X)))) | (~friday(today)) | thursday(yesterday(today)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(243,plain,
% 0.20/0.41 ((~![X: $i] : ((~friday(X)) | thursday(yesterday(X)))) | ((~friday(today)) | thursday(yesterday(today)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(244,plain,
% 0.20/0.41 ((~![X: $i] : ((~friday(X)) | thursday(yesterday(X)))) | (~friday(today)) | thursday(yesterday(today))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.20/0.41 tff(245,plain,
% 0.20/0.41 ((~friday(today)) | thursday(yesterday(today))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[244, 241])).
% 0.20/0.41 tff(246,plain,
% 0.20/0.41 (~friday(today)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[245, 215])).
% 0.20/0.42 tff(247,plain,
% 0.20/0.42 (((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (thursday(today) | saturday(today) | friday(today) | (~member(today, lying_days(unicorn))))) <=> ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | thursday(today) | saturday(today) | friday(today) | (~member(today, lying_days(unicorn))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(248,plain,
% 0.20/0.42 ((saturday(today) | friday(today) | thursday(today) | (~member(today, lying_days(unicorn)))) <=> (thursday(today) | saturday(today) | friday(today) | (~member(today, lying_days(unicorn))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(249,plain,
% 0.20/0.42 (((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (saturday(today) | friday(today) | thursday(today) | (~member(today, lying_days(unicorn))))) <=> ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (thursday(today) | saturday(today) | friday(today) | (~member(today, lying_days(unicorn)))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[248])).
% 0.20/0.42 tff(250,plain,
% 0.20/0.42 (((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (saturday(today) | friday(today) | thursday(today) | (~member(today, lying_days(unicorn))))) <=> ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | thursday(today) | saturday(today) | friday(today) | (~member(today, lying_days(unicorn))))),
% 0.20/0.42 inference(transitivity,[status(thm)],[249, 247])).
% 0.20/0.42 tff(251,plain,
% 0.20/0.42 ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | (saturday(today) | friday(today) | thursday(today) | (~member(today, lying_days(unicorn))))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(252,plain,
% 0.20/0.42 ((~![X: $i] : (saturday(X) | friday(X) | thursday(X) | (~member(X, lying_days(unicorn))))) | thursday(today) | saturday(today) | friday(today) | (~member(today, lying_days(unicorn)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.20/0.42 tff(253,plain,
% 0.20/0.42 (saturday(today) | friday(today) | (~member(today, lying_days(unicorn)))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[252, 226, 89])).
% 0.20/0.42 tff(254,plain,
% 0.20/0.42 (~member(today, lying_days(unicorn))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[253, 246, 199])).
% 0.20/0.42 tff(255,plain,
% 0.20/0.42 (((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(today, lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(yesterday(today), lying_days(unicorn)))) <=> ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | member(today, lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(256,plain,
% 0.20/0.42 ((member(yesterday(today), lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(today, lying_days(unicorn))) <=> (member(today, lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(257,plain,
% 0.20/0.42 (((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(yesterday(today), lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(today, lying_days(unicorn)))) <=> ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(today, lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(yesterday(today), lying_days(unicorn))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[256])).
% 0.20/0.42 tff(258,plain,
% 0.20/0.42 (((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(yesterday(today), lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(today, lying_days(unicorn)))) <=> ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | member(today, lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.42 inference(transitivity,[status(thm)],[257, 255])).
% 0.20/0.42 tff(259,plain,
% 0.20/0.42 ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | (member(yesterday(today), lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(today, lying_days(unicorn)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(260,plain,
% 0.20/0.42 ((~![Y: $i, T: $i, X: $i] : (member(Y, lying_days(T)) | (~admits(T, X, Y)) | member(X, lying_days(T)))) | member(today, lying_days(unicorn)) | (~admits(unicorn, today, yesterday(today))) | member(yesterday(today), lying_days(unicorn))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[259, 258])).
% 0.20/0.42 tff(261,plain,
% 0.20/0.42 (member(today, lying_days(unicorn)) | member(yesterday(today), lying_days(unicorn))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[260, 131, 41])).
% 0.20/0.42 tff(262,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[261, 254, 231])).
% 0.20/0.42 tff(263,plain,(thursday(yesterday(today)) | saturday(today) | saturday(yesterday(today))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(264,plain,
% 0.20/0.42 (saturday(today)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[263, 198, 60])).
% 0.20/0.42 tff(265,plain,
% 0.20/0.42 (^[X: $i] : refl(((~saturday(X)) | member(X, lying_days(unicorn))) <=> ((~saturday(X)) | member(X, lying_days(unicorn))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(266,plain,
% 0.20/0.42 (![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn))) <=> ![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[265])).
% 0.20/0.42 tff(267,plain,
% 0.20/0.42 (![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn))) <=> ![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(268,axiom,(![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unicorn_lies_on_saturday')).
% 0.20/0.42 tff(269,plain,
% 0.20/0.42 (![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.20/0.42 tff(270,plain,(
% 0.20/0.42 ![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[269])).
% 0.20/0.42 tff(271,plain,
% 0.20/0.42 (![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[270, 266])).
% 0.20/0.42 tff(272,plain,
% 0.20/0.42 (((~![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))) | ((~saturday(today)) | member(today, lying_days(unicorn)))) <=> ((~![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))) | (~saturday(today)) | member(today, lying_days(unicorn)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(273,plain,
% 0.20/0.42 ((~![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))) | ((~saturday(today)) | member(today, lying_days(unicorn)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(274,plain,
% 0.20/0.42 ((~![X: $i] : ((~saturday(X)) | member(X, lying_days(unicorn)))) | (~saturday(today)) | member(today, lying_days(unicorn))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.20/0.42 tff(275,plain,
% 0.20/0.42 (member(today, lying_days(unicorn))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[274, 271, 264])).
% 0.20/0.42 tff(276,plain,
% 0.20/0.42 (^[X: $i] : refl((friday(yesterday(X)) | (~saturday(X))) <=> (friday(yesterday(X)) | (~saturday(X))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(277,plain,
% 0.20/0.42 (![X: $i] : (friday(yesterday(X)) | (~saturday(X))) <=> ![X: $i] : (friday(yesterday(X)) | (~saturday(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[276])).
% 0.20/0.42 tff(278,plain,
% 0.20/0.42 (![X: $i] : (friday(yesterday(X)) | (~saturday(X))) <=> ![X: $i] : (friday(yesterday(X)) | (~saturday(X)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(279,axiom,(![X: $i] : (friday(yesterday(X)) | (~saturday(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','yesterday_friday')).
% 0.20/0.42 tff(280,plain,
% 0.20/0.42 (![X: $i] : (friday(yesterday(X)) | (~saturday(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.20/0.42 tff(281,plain,(
% 0.20/0.42 ![X: $i] : (friday(yesterday(X)) | (~saturday(X)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[280])).
% 0.20/0.42 tff(282,plain,
% 0.20/0.42 (![X: $i] : (friday(yesterday(X)) | (~saturday(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[281, 277])).
% 0.20/0.42 tff(283,plain,
% 0.20/0.42 (((~![X: $i] : (friday(yesterday(X)) | (~saturday(X)))) | (friday(yesterday(today)) | (~saturday(today)))) <=> ((~![X: $i] : (friday(yesterday(X)) | (~saturday(X)))) | friday(yesterday(today)) | (~saturday(today)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(284,plain,
% 0.20/0.42 ((~![X: $i] : (friday(yesterday(X)) | (~saturday(X)))) | (friday(yesterday(today)) | (~saturday(today)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(285,plain,
% 0.20/0.42 ((~![X: $i] : (friday(yesterday(X)) | (~saturday(X)))) | friday(yesterday(today)) | (~saturday(today))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.20/0.42 tff(286,plain,
% 0.20/0.42 (friday(yesterday(today)) | (~saturday(today))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[285, 282])).
% 0.20/0.42 tff(287,plain,
% 0.20/0.42 (friday(yesterday(today))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[286, 264])).
% 0.20/0.42 tff(288,plain,
% 0.20/0.42 (((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | ((~friday(yesterday(today))) | member(yesterday(today), lying_days(unicorn)))) <=> ((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | (~friday(yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(289,plain,
% 0.20/0.42 ((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | ((~friday(yesterday(today))) | member(yesterday(today), lying_days(unicorn)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(290,plain,
% 0.20/0.42 ((~![X: $i] : ((~friday(X)) | member(X, lying_days(unicorn)))) | (~friday(yesterday(today))) | member(yesterday(today), lying_days(unicorn))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.20/0.42 tff(291,plain,
% 0.20/0.42 (member(yesterday(today), lying_days(unicorn))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[290, 34, 287])).
% 0.20/0.42 tff(292,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[58, 291, 275])).
% 0.20/0.42 % SZS output end Proof
% 0.20/0.43 % E exiting
%------------------------------------------------------------------------------