%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR002+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:01:12 AM UTC 2025
% Result : Theorem 9.06s 9.27s
% Output : Proof 9.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : CSR002+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.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 12:26:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 9.06/9.27 % SZS status Theorem
% 9.06/9.27 % SZS output start Proof
% 9.06/9.27 tff(terminates_type, type, (
% 9.06/9.27 terminates: ( $i * $i * $i ) > $o)).
% 9.06/9.27 tff(n3_type, type, (
% 9.06/9.27 n3: $i)).
% 9.06/9.27 tff(filling_type, type, (
% 9.06/9.27 filling: $i)).
% 9.06/9.27 tff(overflow_type, type, (
% 9.06/9.27 overflow: $i)).
% 9.06/9.27 tff(happens_type, type, (
% 9.06/9.27 happens: ( $i * $i ) > $o)).
% 9.06/9.27 tff(holdsAt_type, type, (
% 9.06/9.27 holdsAt: ( $i * $i ) > $o)).
% 9.06/9.27 tff(waterLevel_type, type, (
% 9.06/9.27 waterLevel: $i > $i)).
% 9.06/9.27 tff(n0_type, type, (
% 9.06/9.27 n0: $i)).
% 9.06/9.27 tff(tapOn_type, type, (
% 9.06/9.27 tapOn: $i)).
% 9.06/9.27 tff(less_or_equal_type, type, (
% 9.06/9.27 less_or_equal: ( $i * $i ) > $o)).
% 9.06/9.27 tff(n1_type, type, (
% 9.06/9.27 n1: $i)).
% 9.06/9.27 tff(n7_type, type, (
% 9.06/9.27 n7: $i)).
% 9.06/9.27 tff(less_type, type, (
% 9.06/9.27 less: ( $i * $i ) > $o)).
% 9.06/9.27 tff(n2_type, type, (
% 9.06/9.27 n2: $i)).
% 9.06/9.27 tff(n5_type, type, (
% 9.06/9.27 n5: $i)).
% 9.06/9.27 tff(plus_type, type, (
% 9.06/9.27 plus: ( $i * $i ) > $i)).
% 9.06/9.27 tff(n6_type, type, (
% 9.06/9.27 n6: $i)).
% 9.06/9.27 tff(n4_type, type, (
% 9.06/9.27 n4: $i)).
% 9.06/9.27 tff(tptp_fun_Event_7_type, type, (
% 9.06/9.27 tptp_fun_Event_7: ( $i * $i ) > $i)).
% 9.06/9.27 tff(tptp_fun_Event_5_type, type, (
% 9.06/9.27 tptp_fun_Event_5: ( $i * $i ) > $i)).
% 9.06/9.27 tff(releasedAt_type, type, (
% 9.06/9.27 releasedAt: ( $i * $i ) > $o)).
% 9.06/9.27 tff(tptp_fun_Height_10_type, type, (
% 9.06/9.27 tptp_fun_Height_10: ( $i * $i ) > $i)).
% 9.06/9.27 tff(releases_type, type, (
% 9.06/9.27 releases: ( $i * $i * $i ) > $o)).
% 9.06/9.27 tff(initiates_type, type, (
% 9.06/9.27 initiates: ( $i * $i * $i ) > $o)).
% 9.06/9.27 tff(tapOff_type, type, (
% 9.06/9.27 tapOff: $i)).
% 9.06/9.27 tff(1,plain,
% 9.06/9.27 ((plus(n0, n2) = n2) <=> (plus(n0, n2) = n2)),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(2,axiom,(plus(n0, n2) = n2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus0_2')).
% 9.06/9.27 tff(3,plain,
% 9.06/9.27 (plus(n0, n2) = n2),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[2, 1])).
% 9.06/9.27 tff(4,assumption,(n3 = n0), introduced(assumption)).
% 9.06/9.27 tff(5,plain,
% 9.06/9.27 (plus(n3, n2) = plus(n0, n2)),
% 9.06/9.27 inference(monotonicity,[status(thm)],[4])).
% 9.06/9.27 tff(6,plain,
% 9.06/9.27 (^[X: $i, Y: $i] : refl((plus(X, Y) = plus(Y, X)) <=> (plus(X, Y) = plus(Y, X)))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(7,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[6])).
% 9.06/9.27 tff(8,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X)) <=> ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(9,axiom,(![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','symmetry_of_plus')).
% 9.06/9.27 tff(10,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[9, 8])).
% 9.06/9.27 tff(11,plain,(
% 9.06/9.27 ![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 9.06/9.27 inference(skolemize,[status(sab)],[10])).
% 9.06/9.27 tff(12,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[11, 7])).
% 9.06/9.27 tff(13,plain,
% 9.06/9.27 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n2, n3) = plus(n3, n2))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(14,plain,
% 9.06/9.27 (plus(n2, n3) = plus(n3, n2)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[13, 12])).
% 9.06/9.27 tff(15,plain,
% 9.06/9.27 ((plus(n2, n3) = n5) <=> (plus(n2, n3) = n5)),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(16,axiom,(plus(n2, n3) = n5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus2_3')).
% 9.06/9.27 tff(17,plain,
% 9.06/9.27 (plus(n2, n3) = n5),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[16, 15])).
% 9.06/9.27 tff(18,plain,
% 9.06/9.27 (n5 = plus(n2, n3)),
% 9.06/9.27 inference(symmetry,[status(thm)],[17])).
% 9.06/9.27 tff(19,plain,
% 9.06/9.27 (n5 = n2),
% 9.06/9.27 inference(transitivity,[status(thm)],[18, 14, 5, 3])).
% 9.06/9.27 tff(20,plain,
% 9.06/9.27 (less(n7, n5) <=> less(n7, n2)),
% 9.06/9.27 inference(monotonicity,[status(thm)],[19])).
% 9.06/9.27 tff(21,plain,
% 9.06/9.27 ((~less(n7, n5)) <=> (~less(n7, n2))),
% 9.06/9.27 inference(monotonicity,[status(thm)],[20])).
% 9.06/9.27 tff(22,plain,
% 9.06/9.27 (^[X: $i, Y: $i] : refl((less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))) <=> (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(23,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))) <=> ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[22])).
% 9.06/9.27 tff(24,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))) <=> ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(25,plain,
% 9.06/9.27 (^[X: $i, Y: $i] : rewrite((less_or_equal(X, Y) <=> (less(X, Y) | (X = Y))) <=> (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y))))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(26,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> (less(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[25])).
% 9.06/9.27 tff(27,axiom,(![X: $i, Y: $i] : (less_or_equal(X, Y) <=> (less(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less_or_equal')).
% 9.06/9.27 tff(28,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[27, 26])).
% 9.06/9.27 tff(29,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[28, 24])).
% 9.06/9.27 tff(30,plain,(
% 9.06/9.27 ![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(skolemize,[status(sab)],[29])).
% 9.06/9.27 tff(31,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[30, 23])).
% 9.06/9.27 tff(32,plain,
% 9.06/9.27 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n7, n5) <=> ((n7 = n5) | less(n7, n5)))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(33,plain,
% 9.06/9.27 (less_or_equal(n7, n5) <=> ((n7 = n5) | less(n7, n5))),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[32, 31])).
% 9.06/9.27 tff(34,plain,
% 9.06/9.27 (^[X: $i] : refl((less(X, n6) <=> less_or_equal(X, n5)) <=> (less(X, n6) <=> less_or_equal(X, n5)))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(35,plain,
% 9.06/9.27 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5)) <=> ![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[34])).
% 9.06/9.27 tff(36,plain,
% 9.06/9.27 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5)) <=> ![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(37,axiom,(![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less6')).
% 9.06/9.27 tff(38,plain,
% 9.06/9.27 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[37, 36])).
% 9.06/9.27 tff(39,plain,(
% 9.06/9.27 ![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 9.06/9.27 inference(skolemize,[status(sab)],[38])).
% 9.06/9.27 tff(40,plain,
% 9.06/9.27 (![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[39, 35])).
% 9.06/9.27 tff(41,plain,
% 9.06/9.27 ((~![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))) | (less(n7, n6) <=> less_or_equal(n7, n5))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(42,plain,
% 9.06/9.27 (less(n7, n6) <=> less_or_equal(n7, n5)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[41, 40])).
% 9.06/9.27 tff(43,plain,
% 9.06/9.27 (^[X: $i, Y: $i] : refl((~(((Y = X) | less(Y, X)) <=> less(X, Y))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y))))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(44,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y))) <=> ![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[43])).
% 9.06/9.27 tff(45,plain,
% 9.06/9.27 (^[X: $i, Y: $i] : trans(trans(monotonicity(rewrite(((~less(Y, X)) & (~(Y = X))) <=> (~((Y = X) | less(Y, X)))), ((less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> (less(X, Y) <=> (~((Y = X) | less(Y, X)))))), rewrite((less(X, Y) <=> (~((Y = X) | less(Y, X)))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y)))), ((less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y))))), rewrite((~(((Y = X) | less(Y, X)) <=> less(X, Y))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y)))), ((less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> (~(((Y = X) | less(Y, X)) <=> less(X, Y)))))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(46,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> ![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[45])).
% 9.06/9.27 tff(47,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X)))) <=> ![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(48,axiom,(![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less_property')).
% 9.06/9.27 tff(49,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[48, 47])).
% 9.06/9.27 tff(50,plain,(
% 9.06/9.27 ![X: $i, Y: $i] : (less(X, Y) <=> ((~less(Y, X)) & (~(Y = X))))),
% 9.06/9.27 inference(skolemize,[status(sab)],[49])).
% 9.06/9.27 tff(51,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[50, 46])).
% 9.06/9.27 tff(52,plain,
% 9.06/9.27 (![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[51, 44])).
% 9.06/9.27 tff(53,plain,
% 9.06/9.27 ((~![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))) | (~(((n6 = n7) | less(n6, n7)) <=> less(n7, n6)))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(54,plain,
% 9.06/9.27 (~(((n6 = n7) | less(n6, n7)) <=> less(n7, n6))),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[53, 52])).
% 9.06/9.27 tff(55,plain,
% 9.06/9.27 (^[X: $i] : refl((less(X, n7) <=> less_or_equal(X, n6)) <=> (less(X, n7) <=> less_or_equal(X, n6)))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(56,plain,
% 9.06/9.27 (![X: $i] : (less(X, n7) <=> less_or_equal(X, n6)) <=> ![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[55])).
% 9.06/9.27 tff(57,plain,
% 9.06/9.27 (![X: $i] : (less(X, n7) <=> less_or_equal(X, n6)) <=> ![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(58,axiom,(![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less7')).
% 9.06/9.27 tff(59,plain,
% 9.06/9.27 (![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[58, 57])).
% 9.06/9.27 tff(60,plain,(
% 9.06/9.27 ![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))),
% 9.06/9.27 inference(skolemize,[status(sab)],[59])).
% 9.06/9.27 tff(61,plain,
% 9.06/9.27 (![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[60, 56])).
% 9.06/9.27 tff(62,plain,
% 9.06/9.27 ((~![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))) | (less(n6, n7) <=> less_or_equal(n6, n6))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(63,plain,
% 9.06/9.27 (less(n6, n7) <=> less_or_equal(n6, n6)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[62, 61])).
% 9.06/9.27 tff(64,assumption,(~less_or_equal(n6, n6)), introduced(assumption)).
% 9.06/9.27 tff(65,plain,
% 9.06/9.27 (((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n6, n6)) <=> ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n6, n6))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(66,plain,
% 9.06/9.27 ((less_or_equal(n6, n6) <=> $true) <=> less_or_equal(n6, n6)),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(67,plain,
% 9.06/9.27 (($true | less(n6, n6)) <=> $true),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(68,plain,
% 9.06/9.27 ((n6 = n6) <=> $true),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(69,plain,
% 9.06/9.27 (((n6 = n6) | less(n6, n6)) <=> ($true | less(n6, n6))),
% 9.06/9.27 inference(monotonicity,[status(thm)],[68])).
% 9.06/9.27 tff(70,plain,
% 9.06/9.27 (((n6 = n6) | less(n6, n6)) <=> $true),
% 9.06/9.27 inference(transitivity,[status(thm)],[69, 67])).
% 9.06/9.27 tff(71,plain,
% 9.06/9.27 ((less_or_equal(n6, n6) <=> ((n6 = n6) | less(n6, n6))) <=> (less_or_equal(n6, n6) <=> $true)),
% 9.06/9.27 inference(monotonicity,[status(thm)],[70])).
% 9.06/9.27 tff(72,plain,
% 9.06/9.27 ((less_or_equal(n6, n6) <=> ((n6 = n6) | less(n6, n6))) <=> less_or_equal(n6, n6)),
% 9.06/9.27 inference(transitivity,[status(thm)],[71, 66])).
% 9.06/9.27 tff(73,plain,
% 9.06/9.27 (((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n6, n6) <=> ((n6 = n6) | less(n6, n6)))) <=> ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n6, n6))),
% 9.06/9.27 inference(monotonicity,[status(thm)],[72])).
% 9.06/9.27 tff(74,plain,
% 9.06/9.27 (((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n6, n6) <=> ((n6 = n6) | less(n6, n6)))) <=> ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n6, n6))),
% 9.06/9.27 inference(transitivity,[status(thm)],[73, 65])).
% 9.06/9.27 tff(75,plain,
% 9.06/9.27 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n6, n6) <=> ((n6 = n6) | less(n6, n6)))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(76,plain,
% 9.06/9.27 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | less_or_equal(n6, n6)),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[75, 74])).
% 9.06/9.27 tff(77,plain,
% 9.06/9.27 ($false),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[76, 31, 64])).
% 9.06/9.27 tff(78,plain,(less_or_equal(n6, n6)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.27 tff(79,plain,
% 9.06/9.27 ((~(less(n6, n7) <=> less_or_equal(n6, n6))) | less(n6, n7) | (~less_or_equal(n6, n6))),
% 9.06/9.27 inference(tautology,[status(thm)],[])).
% 9.06/9.27 tff(80,plain,
% 9.06/9.27 ((~(less(n6, n7) <=> less_or_equal(n6, n6))) | less(n6, n7)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[79, 78])).
% 9.06/9.27 tff(81,plain,
% 9.06/9.27 (less(n6, n7)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[80, 63])).
% 9.06/9.27 tff(82,plain,
% 9.06/9.27 (((n6 = n7) | less(n6, n7)) | (~less(n6, n7))),
% 9.06/9.27 inference(tautology,[status(thm)],[])).
% 9.06/9.27 tff(83,plain,
% 9.06/9.27 ((n6 = n7) | less(n6, n7)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[82, 81])).
% 9.06/9.27 tff(84,plain,
% 9.06/9.27 ((((n6 = n7) | less(n6, n7)) <=> less(n7, n6)) | (~((n6 = n7) | less(n6, n7))) | (~less(n7, n6))),
% 9.06/9.27 inference(tautology,[status(thm)],[])).
% 9.06/9.27 tff(85,plain,
% 9.06/9.27 ((((n6 = n7) | less(n6, n7)) <=> less(n7, n6)) | (~less(n7, n6))),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[84, 83])).
% 9.06/9.27 tff(86,plain,
% 9.06/9.27 (~less(n7, n6)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[85, 54])).
% 9.06/9.27 tff(87,plain,
% 9.06/9.27 ((~(less(n7, n6) <=> less_or_equal(n7, n5))) | less(n7, n6) | (~less_or_equal(n7, n5))),
% 9.06/9.27 inference(tautology,[status(thm)],[])).
% 9.06/9.27 tff(88,plain,
% 9.06/9.27 ((~(less(n7, n6) <=> less_or_equal(n7, n5))) | (~less_or_equal(n7, n5))),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[87, 86])).
% 9.06/9.27 tff(89,plain,
% 9.06/9.27 (~less_or_equal(n7, n5)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[88, 42])).
% 9.06/9.27 tff(90,plain,
% 9.06/9.27 ((~(less_or_equal(n7, n5) <=> ((n7 = n5) | less(n7, n5)))) | less_or_equal(n7, n5) | (~((n7 = n5) | less(n7, n5)))),
% 9.06/9.27 inference(tautology,[status(thm)],[])).
% 9.06/9.27 tff(91,plain,
% 9.06/9.27 ((~(less_or_equal(n7, n5) <=> ((n7 = n5) | less(n7, n5)))) | (~((n7 = n5) | less(n7, n5)))),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[90, 89])).
% 9.06/9.27 tff(92,plain,
% 9.06/9.27 (~((n7 = n5) | less(n7, n5))),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[91, 33])).
% 9.06/9.27 tff(93,plain,
% 9.06/9.27 (((n7 = n5) | less(n7, n5)) | (~less(n7, n5))),
% 9.06/9.27 inference(tautology,[status(thm)],[])).
% 9.06/9.27 tff(94,plain,
% 9.06/9.27 (~less(n7, n5)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[93, 92])).
% 9.06/9.27 tff(95,plain,
% 9.06/9.27 (~less(n7, n2)),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[94, 21])).
% 9.06/9.27 tff(96,plain,
% 9.06/9.27 (^[X: $i] : refl((less(X, n2) <=> less_or_equal(X, n1)) <=> (less(X, n2) <=> less_or_equal(X, n1)))),
% 9.06/9.27 inference(bind,[status(th)],[])).
% 9.06/9.27 tff(97,plain,
% 9.06/9.27 (![X: $i] : (less(X, n2) <=> less_or_equal(X, n1)) <=> ![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))),
% 9.06/9.27 inference(quant_intro,[status(thm)],[96])).
% 9.06/9.27 tff(98,plain,
% 9.06/9.27 (![X: $i] : (less(X, n2) <=> less_or_equal(X, n1)) <=> ![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))),
% 9.06/9.27 inference(rewrite,[status(thm)],[])).
% 9.06/9.27 tff(99,axiom,(![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less2')).
% 9.06/9.27 tff(100,plain,
% 9.06/9.27 (![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[99, 98])).
% 9.06/9.27 tff(101,plain,(
% 9.06/9.27 ![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))),
% 9.06/9.27 inference(skolemize,[status(sab)],[100])).
% 9.06/9.27 tff(102,plain,
% 9.06/9.27 (![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))),
% 9.06/9.27 inference(modus_ponens,[status(thm)],[101, 97])).
% 9.06/9.27 tff(103,plain,
% 9.06/9.27 ((~![X: $i] : (less(X, n2) <=> less_or_equal(X, n1))) | (less(n7, n2) <=> less_or_equal(n7, n1))),
% 9.06/9.27 inference(quant_inst,[status(thm)],[])).
% 9.06/9.27 tff(104,plain,
% 9.06/9.27 (less(n7, n2) <=> less_or_equal(n7, n1)),
% 9.06/9.27 inference(unit_resolution,[status(thm)],[103, 102])).
% 9.06/9.27 tff(105,plain,
% 9.06/9.27 ((~(less(n7, n2) <=> less_or_equal(n7, n1))) | less(n7, n2) | (~less_or_equal(n7, n1))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(106,plain,
% 9.06/9.28 (less(n7, n2) | (~less_or_equal(n7, n1))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[105, 104])).
% 9.06/9.28 tff(107,plain,
% 9.06/9.28 (~less_or_equal(n7, n1)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[106, 95])).
% 9.06/9.28 tff(108,plain,
% 9.06/9.28 ((plus(n1, n3) = n4) <=> (plus(n1, n3) = n4)),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(109,axiom,(plus(n1, n3) = n4), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_3')).
% 9.06/9.28 tff(110,plain,
% 9.06/9.28 (plus(n1, n3) = n4),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[109, 108])).
% 9.06/9.28 tff(111,plain,
% 9.06/9.28 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, n3) = plus(n3, n1))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(112,plain,
% 9.06/9.28 (plus(n1, n3) = plus(n3, n1)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[111, 12])).
% 9.06/9.28 tff(113,plain,
% 9.06/9.28 (plus(n3, n1) = plus(n1, n3)),
% 9.06/9.28 inference(symmetry,[status(thm)],[112])).
% 9.06/9.28 tff(114,plain,
% 9.06/9.28 (n0 = n3),
% 9.06/9.28 inference(symmetry,[status(thm)],[4])).
% 9.06/9.28 tff(115,plain,
% 9.06/9.28 (plus(n0, n1) = plus(n3, n1)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[114])).
% 9.06/9.28 tff(116,plain,
% 9.06/9.28 ((plus(n0, n1) = n1) <=> (plus(n0, n1) = n1)),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(117,axiom,(plus(n0, n1) = n1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus0_1')).
% 9.06/9.28 tff(118,plain,
% 9.06/9.28 (plus(n0, n1) = n1),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[117, 116])).
% 9.06/9.28 tff(119,plain,
% 9.06/9.28 (n1 = plus(n0, n1)),
% 9.06/9.28 inference(symmetry,[status(thm)],[118])).
% 9.06/9.28 tff(120,plain,
% 9.06/9.28 (n1 = n4),
% 9.06/9.28 inference(transitivity,[status(thm)],[119, 115, 113, 110])).
% 9.06/9.28 tff(121,plain,
% 9.06/9.28 (less_or_equal(n1, n6) <=> less_or_equal(n4, n6)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[120])).
% 9.06/9.28 tff(122,plain,
% 9.06/9.28 (less_or_equal(n4, n6) <=> less_or_equal(n1, n6)),
% 9.06/9.28 inference(symmetry,[status(thm)],[121])).
% 9.06/9.28 tff(123,plain,
% 9.06/9.28 ((~less_or_equal(n4, n6)) <=> (~less_or_equal(n1, n6))),
% 9.06/9.28 inference(monotonicity,[status(thm)],[122])).
% 9.06/9.28 tff(124,plain,
% 9.06/9.28 ((plus(n3, n3) = n6) <=> (plus(n3, n3) = n6)),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(125,axiom,(plus(n3, n3) = n6), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus3_3')).
% 9.06/9.28 tff(126,plain,
% 9.06/9.28 (plus(n3, n3) = n6),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[125, 124])).
% 9.06/9.28 tff(127,plain,
% 9.06/9.28 (plus(n3, n3) = plus(n0, n0)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[4, 4])).
% 9.06/9.28 tff(128,plain,
% 9.06/9.28 (plus(n0, n0) = plus(n3, n3)),
% 9.06/9.28 inference(symmetry,[status(thm)],[127])).
% 9.06/9.28 tff(129,plain,
% 9.06/9.28 ((plus(n0, n0) = n0) <=> (plus(n0, n0) = n0)),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(130,axiom,(plus(n0, n0) = n0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus0_0')).
% 9.06/9.28 tff(131,plain,
% 9.06/9.28 (plus(n0, n0) = n0),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[130, 129])).
% 9.06/9.28 tff(132,plain,
% 9.06/9.28 (n0 = plus(n0, n0)),
% 9.06/9.28 inference(symmetry,[status(thm)],[131])).
% 9.06/9.28 tff(133,plain,
% 9.06/9.28 (n0 = n6),
% 9.06/9.28 inference(transitivity,[status(thm)],[132, 128, 126])).
% 9.06/9.28 tff(134,plain,
% 9.06/9.28 (less(n4, n0) <=> less(n4, n6)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[133])).
% 9.06/9.28 tff(135,plain,
% 9.06/9.28 (less(n4, n6) <=> less(n4, n0)),
% 9.06/9.28 inference(symmetry,[status(thm)],[134])).
% 9.06/9.28 tff(136,assumption,(less(n4, n6)), introduced(assumption)).
% 9.06/9.28 tff(137,plain,
% 9.06/9.28 (less(n4, n0)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[136, 135])).
% 9.06/9.28 tff(138,plain,
% 9.06/9.28 (^[X: $i] : refl((~less(X, n0)) <=> (~less(X, n0)))),
% 9.06/9.28 inference(bind,[status(th)],[])).
% 9.06/9.28 tff(139,plain,
% 9.06/9.28 (![X: $i] : (~less(X, n0)) <=> ![X: $i] : (~less(X, n0))),
% 9.06/9.28 inference(quant_intro,[status(thm)],[138])).
% 9.06/9.28 tff(140,plain,
% 9.06/9.28 ((~?[X: $i] : less(X, n0)) <=> (~?[X: $i] : less(X, n0))),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(141,axiom,(~?[X: $i] : less(X, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less0')).
% 9.06/9.28 tff(142,plain,
% 9.06/9.28 (~?[X: $i] : less(X, n0)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[141, 140])).
% 9.06/9.28 tff(143,plain,
% 9.06/9.28 (~?[X: $i] : less(X, n0)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[142, 140])).
% 9.06/9.28 tff(144,plain,
% 9.06/9.28 (~?[X: $i] : less(X, n0)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[143, 140])).
% 9.06/9.28 tff(145,plain,
% 9.06/9.28 (~?[X: $i] : less(X, n0)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[144, 140])).
% 9.06/9.28 tff(146,plain,
% 9.06/9.28 (^[X: $i] : refl($oeq((~less(X, n0)), (~less(X, n0))))),
% 9.06/9.28 inference(bind,[status(th)],[])).
% 9.06/9.28 tff(147,plain,(
% 9.06/9.28 ![X: $i] : (~less(X, n0))),
% 9.06/9.28 inference(nnf-neg,[status(sab)],[145, 146])).
% 9.06/9.28 tff(148,plain,
% 9.06/9.28 (![X: $i] : (~less(X, n0))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[147, 139])).
% 9.06/9.28 tff(149,plain,
% 9.06/9.28 ((~![X: $i] : (~less(X, n0))) | (~less(n4, n0))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(150,plain,
% 9.06/9.28 (~less(n4, n0)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[149, 148])).
% 9.06/9.28 tff(151,plain,
% 9.06/9.28 ($false),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[150, 137])).
% 9.06/9.28 tff(152,plain,((~less(n4, n6)) | (~(n3 = n0))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.28 tff(153,plain,
% 9.06/9.28 (~less(n4, n6)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[152, 4])).
% 9.06/9.28 tff(154,plain,
% 9.06/9.28 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n4, n5) <=> ((n4 = n5) | less(n4, n5)))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(155,plain,
% 9.06/9.28 (less_or_equal(n4, n5) <=> ((n4 = n5) | less(n4, n5))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[154, 31])).
% 9.06/9.28 tff(156,plain,
% 9.06/9.28 ((~![X: $i] : (less(X, n6) <=> less_or_equal(X, n5))) | (less(n4, n6) <=> less_or_equal(n4, n5))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(157,plain,
% 9.06/9.28 (less(n4, n6) <=> less_or_equal(n4, n5)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[156, 40])).
% 9.06/9.28 tff(158,assumption,(~less(n4, n6)), introduced(assumption)).
% 9.06/9.28 tff(159,plain,
% 9.06/9.28 ((~(less(n4, n6) <=> less_or_equal(n4, n5))) | less(n4, n6) | (~less_or_equal(n4, n5))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(160,plain,
% 9.06/9.28 ((~(less(n4, n6) <=> less_or_equal(n4, n5))) | (~less_or_equal(n4, n5))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[159, 158])).
% 9.06/9.28 tff(161,plain,
% 9.06/9.28 (~less_or_equal(n4, n5)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[160, 157])).
% 9.06/9.28 tff(162,plain,
% 9.06/9.28 (^[X: $i] : refl((less(X, n5) <=> less_or_equal(X, n4)) <=> (less(X, n5) <=> less_or_equal(X, n4)))),
% 9.06/9.28 inference(bind,[status(th)],[])).
% 9.06/9.28 tff(163,plain,
% 9.06/9.28 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4)) <=> ![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 9.06/9.28 inference(quant_intro,[status(thm)],[162])).
% 9.06/9.28 tff(164,plain,
% 9.06/9.28 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4)) <=> ![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(165,axiom,(![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','less5')).
% 9.06/9.28 tff(166,plain,
% 9.06/9.28 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[165, 164])).
% 9.06/9.28 tff(167,plain,(
% 9.06/9.28 ![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 9.06/9.28 inference(skolemize,[status(sab)],[166])).
% 9.06/9.28 tff(168,plain,
% 9.06/9.28 (![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[167, 163])).
% 9.06/9.28 tff(169,plain,
% 9.06/9.28 ((~![X: $i] : (less(X, n5) <=> less_or_equal(X, n4))) | (less(n4, n5) <=> less_or_equal(n4, n4))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(170,plain,
% 9.06/9.28 (less(n4, n5) <=> less_or_equal(n4, n4)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[169, 168])).
% 9.06/9.28 tff(171,plain,
% 9.06/9.28 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n4, n6) <=> ((n4 = n6) | less(n4, n6)))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(172,plain,
% 9.06/9.28 (less_or_equal(n4, n6) <=> ((n4 = n6) | less(n4, n6))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[171, 31])).
% 9.06/9.28 tff(173,assumption,(less_or_equal(n4, n6)), introduced(assumption)).
% 9.06/9.28 tff(174,plain,
% 9.06/9.28 ((~(less_or_equal(n4, n6) <=> ((n4 = n6) | less(n4, n6)))) | (~less_or_equal(n4, n6)) | ((n4 = n6) | less(n4, n6))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(175,plain,
% 9.06/9.28 ((n4 = n6) | less(n4, n6)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[174, 173, 172])).
% 9.06/9.28 tff(176,plain,
% 9.06/9.28 ((~((n4 = n6) | less(n4, n6))) | (n4 = n6) | less(n4, n6)),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(177,plain,
% 9.06/9.28 (n4 = n6),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[176, 158, 175])).
% 9.06/9.28 tff(178,plain,
% 9.06/9.28 (less_or_equal(n4, n4) <=> less_or_equal(n4, n6)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[177])).
% 9.06/9.28 tff(179,plain,
% 9.06/9.28 (less_or_equal(n4, n6) <=> less_or_equal(n4, n4)),
% 9.06/9.28 inference(symmetry,[status(thm)],[178])).
% 9.06/9.28 tff(180,plain,
% 9.06/9.28 (less_or_equal(n4, n4)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[173, 179])).
% 9.06/9.28 tff(181,plain,
% 9.06/9.28 ((~(less(n4, n5) <=> less_or_equal(n4, n4))) | less(n4, n5) | (~less_or_equal(n4, n4))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(182,plain,
% 9.06/9.28 (less(n4, n5)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[181, 180, 170])).
% 9.06/9.28 tff(183,plain,
% 9.06/9.28 (((n4 = n5) | less(n4, n5)) | (~less(n4, n5))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(184,plain,
% 9.06/9.28 ((n4 = n5) | less(n4, n5)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[183, 182])).
% 9.06/9.28 tff(185,plain,
% 9.06/9.28 ((~(less_or_equal(n4, n5) <=> ((n4 = n5) | less(n4, n5)))) | less_or_equal(n4, n5) | (~((n4 = n5) | less(n4, n5)))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(186,plain,
% 9.06/9.28 ((~(less_or_equal(n4, n5) <=> ((n4 = n5) | less(n4, n5)))) | less_or_equal(n4, n5)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[185, 184])).
% 9.06/9.28 tff(187,plain,
% 9.06/9.28 ($false),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[186, 161, 155])).
% 9.06/9.28 tff(188,plain,(less(n4, n6) | (~less_or_equal(n4, n6))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.28 tff(189,plain,
% 9.06/9.28 (~less_or_equal(n4, n6)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[188, 153])).
% 9.06/9.28 tff(190,plain,
% 9.06/9.28 (~less_or_equal(n1, n6)),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[189, 123])).
% 9.06/9.28 tff(191,plain,
% 9.06/9.28 ((~![X: $i] : (less(X, n7) <=> less_or_equal(X, n6))) | (less(n1, n7) <=> less_or_equal(n1, n6))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(192,plain,
% 9.06/9.28 (less(n1, n7) <=> less_or_equal(n1, n6)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[191, 61])).
% 9.06/9.28 tff(193,plain,
% 9.06/9.28 ((~(less(n1, n7) <=> less_or_equal(n1, n6))) | (~less(n1, n7)) | less_or_equal(n1, n6)),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(194,plain,
% 9.06/9.28 ((~less(n1, n7)) | less_or_equal(n1, n6)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[193, 192])).
% 9.06/9.28 tff(195,plain,
% 9.06/9.28 (~less(n1, n7)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[194, 190])).
% 9.06/9.28 tff(196,plain,
% 9.06/9.28 ((~![X: $i, Y: $i] : (~(((Y = X) | less(Y, X)) <=> less(X, Y)))) | (~(((n7 = n1) | less(n7, n1)) <=> less(n1, n7)))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(197,plain,
% 9.06/9.28 (~(((n7 = n1) | less(n7, n1)) <=> less(n1, n7))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[196, 52])).
% 9.06/9.28 tff(198,plain,
% 9.06/9.28 ((((n7 = n1) | less(n7, n1)) <=> less(n1, n7)) | ((n7 = n1) | less(n7, n1)) | less(n1, n7)),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(199,plain,
% 9.06/9.28 (((n7 = n1) | less(n7, n1)) | less(n1, n7)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[198, 197])).
% 9.06/9.28 tff(200,plain,
% 9.06/9.28 ((n7 = n1) | less(n7, n1)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[199, 195])).
% 9.06/9.28 tff(201,plain,
% 9.06/9.28 ((~![X: $i, Y: $i] : (less_or_equal(X, Y) <=> ((X = Y) | less(X, Y)))) | (less_or_equal(n7, n1) <=> ((n7 = n1) | less(n7, n1)))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(202,plain,
% 9.06/9.28 (less_or_equal(n7, n1) <=> ((n7 = n1) | less(n7, n1))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[201, 31])).
% 9.06/9.28 tff(203,plain,
% 9.06/9.28 ((~(less_or_equal(n7, n1) <=> ((n7 = n1) | less(n7, n1)))) | less_or_equal(n7, n1) | (~((n7 = n1) | less(n7, n1)))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(204,plain,
% 9.06/9.28 (less_or_equal(n7, n1) | (~((n7 = n1) | less(n7, n1)))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[203, 202])).
% 9.06/9.28 tff(205,plain,
% 9.06/9.28 ($false),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[204, 200, 107])).
% 9.06/9.28 tff(206,plain,(~(n3 = n0)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.28 tff(207,assumption,(~holdsAt(filling, n3)), introduced(assumption)).
% 9.06/9.28 tff(208,assumption,(~(n3 = n0)), introduced(assumption)).
% 9.06/9.28 tff(209,plain,
% 9.06/9.28 (((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn))) | (n3 = n0)),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(210,plain,
% 9.06/9.28 ((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[209, 208])).
% 9.06/9.28 tff(211,plain,
% 9.06/9.28 (((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn))) | (n3 = n0)),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(212,plain,
% 9.06/9.28 ((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[211, 208])).
% 9.06/9.28 tff(213,assumption,((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn))), introduced(assumption)).
% 9.06/9.28 tff(214,plain,
% 9.06/9.28 (((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))) | holdsAt(filling, n3)),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(215,plain,
% 9.06/9.28 ((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[214, 207])).
% 9.06/9.28 tff(216,plain,
% 9.06/9.28 ((~((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))) | (~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(217,plain,
% 9.06/9.28 (~((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[216, 215, 213])).
% 9.06/9.28 tff(218,plain,
% 9.06/9.28 (^[Event: $i, Fluent: $i, Time: $i] : refl((~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))))),
% 9.06/9.28 inference(bind,[status(th)],[])).
% 9.06/9.28 tff(219,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 9.06/9.28 inference(quant_intro,[status(thm)],[218])).
% 9.06/9.28 tff(220,plain,
% 9.06/9.28 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))))),
% 9.06/9.28 inference(bind,[status(th)],[])).
% 9.06/9.28 tff(221,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 9.06/9.28 inference(quant_intro,[status(thm)],[220])).
% 9.06/9.28 tff(222,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 9.06/9.28 inference(transitivity,[status(thm)],[221, 219])).
% 9.06/9.28 tff(223,plain,
% 9.06/9.28 (^[Event: $i, Fluent: $i, Time: $i] : trans(monotonicity(rewrite(((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) <=> ((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))), rewrite((releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height))))) <=> (releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))), ((((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height)))))) <=> (((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))))) & (releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))))), rewrite((((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))))) & (releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height)))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))), ((((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height)))))) <=> (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))))),
% 9.06/9.28 inference(bind,[status(th)],[])).
% 9.06/9.28 tff(224,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height)))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 9.06/9.28 inference(quant_intro,[status(thm)],[223])).
% 9.06/9.28 tff(225,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(226,axiom,(![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','releases_all_defn')).
% 9.06/9.28 tff(227,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (releases(Event, Fluent, Time) <=> ?[Height: $i] : ((Event = tapOn) & (Fluent = waterLevel(Height))))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[226, 225])).
% 9.06/9.28 tff(228,plain,(
% 9.06/9.28 ![Event: $i, Fluent: $i, Time: $i] : (((~releases(Event, Fluent, Time)) | ((Event = tapOn) & (Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event))))) & (releases(Event, Fluent, Time) | ![Height: $i] : (~((Event = tapOn) & (Fluent = waterLevel(Height))))))),
% 9.06/9.28 inference(skolemize,[status(sab)],[227])).
% 9.06/9.28 tff(229,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[228, 224])).
% 9.06/9.28 tff(230,plain,
% 9.06/9.28 (![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[229, 222])).
% 9.06/9.28 tff(231,plain,
% 9.06/9.28 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))))),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(232,plain,
% 9.06/9.28 ((~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))))),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(233,plain,
% 9.06/9.28 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))))),
% 9.06/9.28 inference(monotonicity,[status(thm)],[232])).
% 9.06/9.28 tff(234,plain,
% 9.06/9.28 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))))),
% 9.06/9.28 inference(transitivity,[status(thm)],[233, 231])).
% 9.06/9.28 tff(235,plain,
% 9.06/9.28 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(236,plain,
% 9.06/9.28 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[235, 234])).
% 9.06/9.28 tff(237,plain,
% 9.06/9.28 (~((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn))))))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[236, 230])).
% 9.06/9.28 tff(238,plain,
% 9.06/9.28 (((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~(releases(tptp_fun_Event_7(n2, filling), filling, n2) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n2, filling) = tapOn)))))) | ((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))),
% 9.06/9.28 inference(tautology,[status(thm)],[])).
% 9.06/9.28 tff(239,plain,
% 9.06/9.28 ((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))))),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[238, 237])).
% 9.06/9.28 tff(240,plain,
% 9.06/9.28 ((plus(n1, n2) = n3) <=> (plus(n1, n2) = n3)),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(241,axiom,(plus(n1, n2) = n3), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_2')).
% 9.06/9.28 tff(242,plain,
% 9.06/9.28 (plus(n1, n2) = n3),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[241, 240])).
% 9.06/9.28 tff(243,plain,
% 9.06/9.28 ((~![X: $i, Y: $i] : (plus(X, Y) = plus(Y, X))) | (plus(n1, n2) = plus(n2, n1))),
% 9.06/9.28 inference(quant_inst,[status(thm)],[])).
% 9.06/9.28 tff(244,plain,
% 9.06/9.28 (plus(n1, n2) = plus(n2, n1)),
% 9.06/9.28 inference(unit_resolution,[status(thm)],[243, 12])).
% 9.06/9.28 tff(245,plain,
% 9.06/9.28 (plus(n2, n1) = plus(n1, n2)),
% 9.06/9.28 inference(symmetry,[status(thm)],[244])).
% 9.06/9.28 tff(246,plain,
% 9.06/9.28 (plus(n2, n1) = n3),
% 9.06/9.28 inference(transitivity,[status(thm)],[245, 242])).
% 9.06/9.28 tff(247,plain,
% 9.06/9.28 (releasedAt(filling, plus(n2, n1)) <=> releasedAt(filling, n3)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[246])).
% 9.06/9.28 tff(248,plain,
% 9.06/9.28 (releasedAt(filling, n3) <=> releasedAt(filling, plus(n2, n1))),
% 9.06/9.28 inference(symmetry,[status(thm)],[247])).
% 9.06/9.28 tff(249,assumption,(releasedAt(filling, n3)), introduced(assumption)).
% 9.06/9.28 tff(250,plain,
% 9.06/9.28 (releasedAt(filling, plus(n2, n1))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[249, 248])).
% 9.06/9.28 tff(251,plain,
% 9.06/9.28 ((plus(n1, n1) = n2) <=> (plus(n1, n1) = n2)),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.28 tff(252,axiom,(plus(n1, n1) = n2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus1_1')).
% 9.06/9.28 tff(253,plain,
% 9.06/9.28 (plus(n1, n1) = n2),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[252, 251])).
% 9.06/9.28 tff(254,plain,
% 9.06/9.28 (releasedAt(filling, plus(n1, n1)) <=> releasedAt(filling, n2)),
% 9.06/9.28 inference(monotonicity,[status(thm)],[253])).
% 9.06/9.28 tff(255,plain,
% 9.06/9.28 (releasedAt(filling, n2) <=> releasedAt(filling, plus(n1, n1))),
% 9.06/9.28 inference(symmetry,[status(thm)],[254])).
% 9.06/9.28 tff(256,assumption,(releasedAt(filling, n2)), introduced(assumption)).
% 9.06/9.28 tff(257,plain,
% 9.06/9.28 (releasedAt(filling, plus(n1, n1))),
% 9.06/9.28 inference(modus_ponens,[status(thm)],[256, 255])).
% 9.06/9.28 tff(258,assumption,((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))))), introduced(assumption)).
% 9.06/9.28 tff(259,plain,
% 9.06/9.28 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))))))),
% 9.06/9.28 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(260,plain,
% 9.06/9.29 ((~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(261,plain,
% 9.06/9.29 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))))))),
% 9.06/9.29 inference(monotonicity,[status(thm)],[260])).
% 9.06/9.29 tff(262,plain,
% 9.06/9.29 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))))))),
% 9.06/9.29 inference(transitivity,[status(thm)],[261, 259])).
% 9.06/9.29 tff(263,plain,
% 9.06/9.29 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 9.06/9.29 inference(quant_inst,[status(thm)],[])).
% 9.06/9.29 tff(264,plain,
% 9.06/9.29 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[263, 262])).
% 9.06/9.29 tff(265,plain,
% 9.06/9.29 ($false),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[264, 230, 258])).
% 9.06/9.29 tff(266,plain,(~((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.29 tff(267,plain,
% 9.06/9.29 (((~(releases(tptp_fun_Event_7(n1, filling), filling, n1) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n1, filling) = tapOn))))) | (~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))))) | ((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(268,plain,
% 9.06/9.29 ((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[267, 266])).
% 9.06/9.29 tff(269,assumption,(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))), introduced(assumption)).
% 9.06/9.29 tff(270,plain,
% 9.06/9.29 (^[X: $i] : refl((~(filling = waterLevel(X))) <=> (~(filling = waterLevel(X))))),
% 9.06/9.29 inference(bind,[status(th)],[])).
% 9.06/9.29 tff(271,plain,
% 9.06/9.29 (![X: $i] : (~(filling = waterLevel(X))) <=> ![X: $i] : (~(filling = waterLevel(X)))),
% 9.06/9.29 inference(quant_intro,[status(thm)],[270])).
% 9.06/9.29 tff(272,plain,
% 9.06/9.29 (![X: $i] : (~(filling = waterLevel(X))) <=> ![X: $i] : (~(filling = waterLevel(X)))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(273,axiom,(![X: $i] : (~(filling = waterLevel(X)))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','filling_not_waterLevel')).
% 9.06/9.29 tff(274,plain,
% 9.06/9.29 (![X: $i] : (~(filling = waterLevel(X)))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[273, 272])).
% 9.06/9.29 tff(275,plain,(
% 9.06/9.29 ![X: $i] : (~(filling = waterLevel(X)))),
% 9.06/9.29 inference(skolemize,[status(sab)],[274])).
% 9.06/9.29 tff(276,plain,
% 9.06/9.29 (![X: $i] : (~(filling = waterLevel(X)))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[275, 271])).
% 9.06/9.29 tff(277,plain,
% 9.06/9.29 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))),
% 9.06/9.29 inference(quant_inst,[status(thm)],[])).
% 9.06/9.29 tff(278,plain,
% 9.06/9.29 ($false),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[277, 276, 269])).
% 9.06/9.29 tff(279,plain,(~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.29 tff(280,plain,
% 9.06/9.29 (((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))) | (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(281,plain,
% 9.06/9.29 ((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[280, 279])).
% 9.06/9.29 tff(282,plain,
% 9.06/9.29 ((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling)))))))),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(283,plain,
% 9.06/9.29 ((~((~releases(tptp_fun_Event_7(n1, filling), filling, n1)) | (~((~(tptp_fun_Event_7(n1, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n1, filling))))))))) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[282, 281])).
% 9.06/9.29 tff(284,plain,
% 9.06/9.29 (~releases(tptp_fun_Event_7(n1, filling), filling, n1)),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[283, 268])).
% 9.06/9.29 tff(285,plain,
% 9.06/9.29 (((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))) | releases(tptp_fun_Event_7(n1, filling), filling, n1)),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(286,plain,
% 9.06/9.29 ((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[285, 284])).
% 9.06/9.29 tff(287,plain,
% 9.06/9.29 (releasedAt(filling, plus(n0, n1)) <=> releasedAt(filling, n1)),
% 9.06/9.29 inference(monotonicity,[status(thm)],[118])).
% 9.06/9.29 tff(288,plain,
% 9.06/9.29 (releasedAt(filling, n1) <=> releasedAt(filling, plus(n0, n1))),
% 9.06/9.29 inference(symmetry,[status(thm)],[287])).
% 9.06/9.29 tff(289,assumption,(releasedAt(filling, n1)), introduced(assumption)).
% 9.06/9.29 tff(290,plain,
% 9.06/9.29 (releasedAt(filling, plus(n0, n1))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[289, 288])).
% 9.06/9.29 tff(291,assumption,((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))), introduced(assumption)).
% 9.06/9.29 tff(292,plain,
% 9.06/9.29 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(293,plain,
% 9.06/9.29 ((~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height)))))))) <=> (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(294,plain,
% 9.06/9.29 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))))),
% 9.06/9.29 inference(monotonicity,[status(thm)],[293])).
% 9.06/9.29 tff(295,plain,
% 9.06/9.29 (((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))))),
% 9.06/9.29 inference(transitivity,[status(thm)],[294, 292])).
% 9.06/9.29 tff(296,plain,
% 9.06/9.29 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(Height))))))))),
% 9.06/9.29 inference(quant_inst,[status(thm)],[])).
% 9.06/9.29 tff(297,plain,
% 9.06/9.29 ((~![Event: $i, Fluent: $i, Time: $i] : (~((~((~releases(Event, Fluent, Time)) | (~((~(Event = tapOn)) | (~(Fluent = waterLevel(tptp_fun_Height_10(Fluent, Event)))))))) | (~(releases(Event, Fluent, Time) | ![Height: $i] : ((~(Event = tapOn)) | (~(Fluent = waterLevel(Height))))))))) | (~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[296, 295])).
% 9.06/9.29 tff(298,plain,
% 9.06/9.29 ($false),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[297, 230, 291])).
% 9.06/9.29 tff(299,plain,(~((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn))))))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.29 tff(300,plain,
% 9.06/9.29 (((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~(releases(tptp_fun_Event_7(n0, filling), filling, n0) | ![Height: $i] : ((~(filling = waterLevel(Height))) | (~(tptp_fun_Event_7(n0, filling) = tapOn)))))) | ((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(301,plain,
% 9.06/9.29 ((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[300, 299])).
% 9.06/9.29 tff(302,assumption,(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))), introduced(assumption)).
% 9.06/9.29 tff(303,plain,
% 9.06/9.29 ((~![X: $i] : (~(filling = waterLevel(X)))) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))),
% 9.06/9.29 inference(quant_inst,[status(thm)],[])).
% 9.06/9.29 tff(304,plain,
% 9.06/9.29 ($false),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[303, 276, 302])).
% 9.06/9.29 tff(305,plain,(~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.29 tff(306,plain,
% 9.06/9.29 (((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))) | (filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(307,plain,
% 9.06/9.29 ((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[306, 305])).
% 9.06/9.29 tff(308,plain,
% 9.06/9.29 ((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling)))))))),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(309,plain,
% 9.06/9.29 ((~((~releases(tptp_fun_Event_7(n0, filling), filling, n0)) | (~((~(tptp_fun_Event_7(n0, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n0, filling))))))))) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[308, 307])).
% 9.06/9.29 tff(310,plain,
% 9.06/9.29 (~releases(tptp_fun_Event_7(n0, filling), filling, n0)),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[309, 301])).
% 9.06/9.29 tff(311,plain,
% 9.06/9.29 (((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))) | releases(tptp_fun_Event_7(n0, filling), filling, n0)),
% 9.06/9.29 inference(tautology,[status(thm)],[])).
% 9.06/9.29 tff(312,plain,
% 9.06/9.29 ((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[311, 310])).
% 9.06/9.29 tff(313,plain,
% 9.06/9.29 ((~releasedAt(filling, n0)) <=> (~releasedAt(filling, n0))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(314,axiom,(~releasedAt(filling, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_released_filling_0')).
% 9.06/9.29 tff(315,plain,
% 9.06/9.29 (~releasedAt(filling, n0)),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[314, 313])).
% 9.06/9.29 tff(316,plain,
% 9.06/9.29 (^[Fluent: $i, Time: $i] : refl(((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))))),
% 9.06/9.29 inference(bind,[status(th)],[])).
% 9.06/9.29 tff(317,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 9.06/9.29 inference(quant_intro,[status(thm)],[316])).
% 9.06/9.29 tff(318,plain,
% 9.06/9.29 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite((happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)) <=> (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))), (((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))))), rewrite(((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))), (((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))))),
% 9.06/9.29 inference(bind,[status(th)],[])).
% 9.06/9.29 tff(319,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 9.06/9.29 inference(quant_intro,[status(thm)],[318])).
% 9.06/9.29 tff(320,plain,
% 9.06/9.29 (^[Fluent: $i, Time: $i] : rewrite(((~releasedAt(Fluent, plus(Time, n1))) | (releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))),
% 9.06/9.29 inference(bind,[status(th)],[])).
% 9.06/9.29 tff(321,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))),
% 9.06/9.29 inference(quant_intro,[status(thm)],[320])).
% 9.06/9.29 tff(322,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(323,plain,
% 9.06/9.29 (^[Fluent: $i, Time: $i] : trans(monotonicity(monotonicity(rewrite((~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))) <=> (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))), (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) <=> ((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))))), ((((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))))), rewrite((((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))), ((((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))))),
% 9.06/9.29 inference(bind,[status(th)],[])).
% 9.06/9.29 tff(324,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1)))) <=> ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 9.06/9.29 inference(quant_intro,[status(thm)],[323])).
% 9.06/9.29 tff(325,axiom,(![Fluent: $i, Time: $i] : (((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time)))) => (~releasedAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax','keep_not_released')).
% 9.06/9.29 tff(326,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[325, 324])).
% 9.06/9.29 tff(327,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (~((~releasedAt(Fluent, Time)) & (~?[Event: $i] : (happens(Event, Time) & releases(Event, Fluent, Time))))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[326, 322])).
% 9.06/9.29 tff(328,plain,(
% 9.06/9.29 ![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | (releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time))))),
% 9.06/9.29 inference(skolemize,[status(sab)],[327])).
% 9.06/9.29 tff(329,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (happens(tptp_fun_Event_7(Time, Fluent), Time) & releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[328, 321])).
% 9.06/9.29 tff(330,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[329, 319])).
% 9.06/9.29 tff(331,plain,
% 9.06/9.29 (![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[330, 317])).
% 9.06/9.29 tff(332,plain,
% 9.06/9.29 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(333,plain,
% 9.06/9.29 (((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))) <=> (releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(334,plain,
% 9.06/9.29 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))))),
% 9.06/9.29 inference(monotonicity,[status(thm)],[333])).
% 9.06/9.29 tff(335,plain,
% 9.06/9.29 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 9.06/9.29 inference(transitivity,[status(thm)],[334, 332])).
% 9.06/9.29 tff(336,plain,
% 9.06/9.29 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n0, n1))) | releasedAt(filling, n0) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0)))))),
% 9.06/9.29 inference(quant_inst,[status(thm)],[])).
% 9.06/9.29 tff(337,plain,
% 9.06/9.29 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, n0) | (~releasedAt(filling, plus(n0, n1))) | (~((~happens(tptp_fun_Event_7(n0, filling), n0)) | (~releases(tptp_fun_Event_7(n0, filling), filling, n0))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[336, 335])).
% 9.06/9.29 tff(338,plain,
% 9.06/9.29 (~releasedAt(filling, plus(n0, n1))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[337, 331, 315, 312])).
% 9.06/9.29 tff(339,plain,
% 9.06/9.29 ($false),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[338, 290])).
% 9.06/9.29 tff(340,plain,(~releasedAt(filling, n1)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.29 tff(341,plain,
% 9.06/9.29 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)))))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(342,plain,
% 9.06/9.29 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1)))))),
% 9.06/9.29 inference(quant_inst,[status(thm)],[])).
% 9.06/9.29 tff(343,plain,
% 9.06/9.29 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n1, n1))) | releasedAt(filling, n1) | (~((~happens(tptp_fun_Event_7(n1, filling), n1)) | (~releases(tptp_fun_Event_7(n1, filling), filling, n1))))),
% 9.06/9.29 inference(modus_ponens,[status(thm)],[342, 341])).
% 9.06/9.29 tff(344,plain,
% 9.06/9.29 (~releasedAt(filling, plus(n1, n1))),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[343, 331, 340, 286])).
% 9.06/9.29 tff(345,plain,
% 9.06/9.29 ($false),
% 9.06/9.29 inference(unit_resolution,[status(thm)],[344, 257])).
% 9.06/9.29 tff(346,plain,(~releasedAt(filling, n2)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.29 tff(347,plain,
% 9.06/9.29 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(348,plain,
% 9.06/9.29 (((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))))) <=> ((~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2))),
% 9.06/9.29 inference(rewrite,[status(thm)],[])).
% 9.06/9.29 tff(349,plain,
% 9.06/9.29 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2)))),
% 9.06/9.30 inference(monotonicity,[status(thm)],[348])).
% 9.06/9.30 tff(350,plain,
% 9.06/9.30 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2))),
% 9.06/9.30 inference(transitivity,[status(thm)],[349, 347])).
% 9.06/9.30 tff(351,plain,
% 9.06/9.30 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))))),
% 9.06/9.30 inference(quant_inst,[status(thm)],[])).
% 9.06/9.30 tff(352,plain,
% 9.06/9.30 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1))) | releasedAt(filling, n2)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[351, 350])).
% 9.06/9.30 tff(353,plain,
% 9.06/9.30 ((~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))) | (~releasedAt(filling, plus(n2, n1)))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[352, 331, 346])).
% 9.06/9.30 tff(354,plain,
% 9.06/9.30 (~((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[353, 250])).
% 9.06/9.30 tff(355,plain,
% 9.06/9.30 (((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))) | releases(tptp_fun_Event_7(n2, filling), filling, n2)),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(356,plain,
% 9.06/9.30 (releases(tptp_fun_Event_7(n2, filling), filling, n2)),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[355, 354])).
% 9.06/9.30 tff(357,plain,
% 9.06/9.30 ((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))))),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(358,plain,
% 9.06/9.30 ((~((~releases(tptp_fun_Event_7(n2, filling), filling, n2)) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))))) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[357, 356])).
% 9.06/9.30 tff(359,plain,
% 9.06/9.30 (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling))))))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[358, 239])).
% 9.06/9.30 tff(360,plain,
% 9.06/9.30 (((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(filling = waterLevel(tptp_fun_Height_10(filling, tptp_fun_Event_7(n2, filling)))))) | (tptp_fun_Event_7(n2, filling) = tapOn)),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(361,plain,
% 9.06/9.30 (tptp_fun_Event_7(n2, filling) = tapOn),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[360, 359])).
% 9.06/9.30 tff(362,assumption,(~happens(tptp_fun_Event_7(n2, filling), n2)), introduced(assumption)).
% 9.06/9.30 tff(363,plain,
% 9.06/9.30 (((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))) | happens(tptp_fun_Event_7(n2, filling), n2)),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(364,plain,
% 9.06/9.30 ((~happens(tptp_fun_Event_7(n2, filling), n2)) | (~releases(tptp_fun_Event_7(n2, filling), filling, n2))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[363, 362])).
% 9.06/9.30 tff(365,plain,
% 9.06/9.30 (~releasedAt(filling, plus(n2, n1))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[352, 331, 346, 364])).
% 9.06/9.30 tff(366,plain,
% 9.06/9.30 ($false),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[365, 250])).
% 9.06/9.30 tff(367,plain,((~releasedAt(filling, n3)) | happens(tptp_fun_Event_7(n2, filling), n2)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.30 tff(368,plain,
% 9.06/9.30 (happens(tptp_fun_Event_7(n2, filling), n2)),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[367, 249])).
% 9.06/9.30 tff(369,assumption,(~(happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))), introduced(assumption)).
% 9.06/9.30 tff(370,plain,
% 9.06/9.30 (^[Event: $i, Time: $i] : refl((happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow)))))) <=> (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow)))))))),
% 9.06/9.30 inference(bind,[status(th)],[])).
% 9.06/9.30 tff(371,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow)))))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))),
% 9.06/9.30 inference(quant_intro,[status(thm)],[370])).
% 9.06/9.30 tff(372,plain,
% 9.06/9.30 (^[Event: $i, Time: $i] : rewrite((happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow)))) <=> (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow)))))))),
% 9.06/9.30 inference(bind,[status(th)],[])).
% 9.06/9.30 tff(373,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))),
% 9.06/9.30 inference(quant_intro,[status(thm)],[372])).
% 9.06/9.30 tff(374,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow))))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(375,plain,
% 9.06/9.30 (^[Event: $i, Time: $i] : rewrite((happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | ((holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time)) & (Event = overflow)))) <=> (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow)))))),
% 9.06/9.30 inference(bind,[status(th)],[])).
% 9.06/9.30 tff(376,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | ((holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time)) & (Event = overflow)))) <=> ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow))))),
% 9.06/9.30 inference(quant_intro,[status(thm)],[375])).
% 9.06/9.30 tff(377,axiom,(![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | ((holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time)) & (Event = overflow))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','happens_all_defn')).
% 9.06/9.30 tff(378,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow))))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[377, 376])).
% 9.06/9.30 tff(379,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow))))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[378, 374])).
% 9.06/9.30 tff(380,plain,(
% 9.06/9.30 ![Event: $i, Time: $i] : (happens(Event, Time) <=> (((Event = tapOn) & (Time = n0)) | (holdsAt(waterLevel(n3), Time) & holdsAt(filling, Time) & (Event = overflow))))),
% 9.06/9.30 inference(skolemize,[status(sab)],[379])).
% 9.06/9.30 tff(381,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[380, 373])).
% 9.06/9.30 tff(382,plain,
% 9.06/9.30 (![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[381, 371])).
% 9.06/9.30 tff(383,plain,
% 9.06/9.30 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(384,plain,
% 9.06/9.30 ((happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(waterLevel(n3), n2)) | (~holdsAt(filling, n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))) <=> (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(385,plain,
% 9.06/9.30 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(waterLevel(n3), n2)) | (~holdsAt(filling, n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))))),
% 9.06/9.30 inference(monotonicity,[status(thm)],[384])).
% 9.06/9.30 tff(386,plain,
% 9.06/9.30 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(waterLevel(n3), n2)) | (~holdsAt(filling, n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))))),
% 9.06/9.30 inference(transitivity,[status(thm)],[385, 383])).
% 9.06/9.30 tff(387,plain,
% 9.06/9.30 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(waterLevel(n3), n2)) | (~holdsAt(filling, n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))),
% 9.06/9.30 inference(quant_inst,[status(thm)],[])).
% 9.06/9.30 tff(388,plain,
% 9.06/9.30 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[387, 386])).
% 9.06/9.30 tff(389,plain,
% 9.06/9.30 ($false),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[388, 382, 369])).
% 9.06/9.30 tff(390,plain,(happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.30 tff(391,plain,
% 9.06/9.30 ((~(happens(tptp_fun_Event_7(n2, filling), n2) <=> ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))))) | (~happens(tptp_fun_Event_7(n2, filling), n2)) | ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(392,plain,
% 9.06/9.30 ((~happens(tptp_fun_Event_7(n2, filling), n2)) | ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[391, 390])).
% 9.06/9.30 tff(393,plain,
% 9.06/9.30 ((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[392, 368])).
% 9.06/9.30 tff(394,assumption,(n2 = n0), introduced(assumption)).
% 9.06/9.30 tff(395,plain,
% 9.06/9.30 (n0 = n2),
% 9.06/9.30 inference(symmetry,[status(thm)],[394])).
% 9.06/9.30 tff(396,plain,
% 9.06/9.30 (plus(n2, n2) = plus(n0, n0)),
% 9.06/9.30 inference(monotonicity,[status(thm)],[394, 394])).
% 9.06/9.30 tff(397,plain,
% 9.06/9.30 ((plus(n2, n2) = n4) <=> (plus(n2, n2) = n4)),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(398,axiom,(plus(n2, n2) = n4), file('/export/starexec/sandbox/benchmark/theBenchmark.p','plus2_2')).
% 9.06/9.30 tff(399,plain,
% 9.06/9.30 (plus(n2, n2) = n4),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[398, 397])).
% 9.06/9.30 tff(400,plain,
% 9.06/9.30 (n4 = plus(n2, n2)),
% 9.06/9.30 inference(symmetry,[status(thm)],[399])).
% 9.06/9.30 tff(401,plain,
% 9.06/9.30 (n4 = n2),
% 9.06/9.30 inference(transitivity,[status(thm)],[400, 396, 131, 395])).
% 9.06/9.30 tff(402,plain,
% 9.06/9.30 (holdsAt(filling, n4) <=> holdsAt(filling, n2)),
% 9.06/9.30 inference(monotonicity,[status(thm)],[401])).
% 9.06/9.30 tff(403,plain,
% 9.06/9.30 (holdsAt(filling, n2) <=> holdsAt(filling, n4)),
% 9.06/9.30 inference(symmetry,[status(thm)],[402])).
% 9.06/9.30 tff(404,plain,
% 9.06/9.30 ((~holdsAt(filling, n2)) <=> (~holdsAt(filling, n4))),
% 9.06/9.30 inference(monotonicity,[status(thm)],[403])).
% 9.06/9.30 tff(405,plain,
% 9.06/9.30 (holdsAt(filling, n0) <=> holdsAt(filling, n2)),
% 9.06/9.30 inference(monotonicity,[status(thm)],[395])).
% 9.06/9.30 tff(406,plain,
% 9.06/9.30 ((~holdsAt(filling, n0)) <=> (~holdsAt(filling, n2))),
% 9.06/9.30 inference(monotonicity,[status(thm)],[405])).
% 9.06/9.30 tff(407,plain,
% 9.06/9.30 ((~holdsAt(filling, n0)) <=> (~holdsAt(filling, n0))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(408,axiom,(~holdsAt(filling, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_filling_0')).
% 9.06/9.30 tff(409,plain,
% 9.06/9.30 (~holdsAt(filling, n0)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[408, 407])).
% 9.06/9.30 tff(410,plain,
% 9.06/9.30 (~holdsAt(filling, n2)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[409, 406])).
% 9.06/9.30 tff(411,plain,
% 9.06/9.30 (~holdsAt(filling, n4)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[410, 404])).
% 9.06/9.30 tff(412,plain,
% 9.06/9.30 (holdsAt(filling, n4) <=> holdsAt(filling, n4)),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(413,plain,
% 9.06/9.30 ((~(~holdsAt(filling, n4))) <=> holdsAt(filling, n4)),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(414,axiom,(~(~holdsAt(filling, n4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_filling_4')).
% 9.06/9.30 tff(415,plain,
% 9.06/9.30 (holdsAt(filling, n4)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[414, 413])).
% 9.06/9.30 tff(416,plain,
% 9.06/9.30 (holdsAt(filling, n4)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[415, 412])).
% 9.06/9.30 tff(417,plain,
% 9.06/9.30 ($false),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[416, 411])).
% 9.06/9.30 tff(418,plain,(~(n2 = n0)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.30 tff(419,plain,
% 9.06/9.30 (((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0))) | (n2 = n0)),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(420,plain,
% 9.06/9.30 ((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[419, 418])).
% 9.06/9.30 tff(421,plain,
% 9.06/9.30 ((~((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))) | (~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(422,plain,
% 9.06/9.30 ((~((~((~(tptp_fun_Event_7(n2, filling) = tapOn)) | (~(n2 = n0)))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))))) | (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[421, 420])).
% 9.06/9.30 tff(423,plain,
% 9.06/9.30 (~((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow)))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[422, 393])).
% 9.06/9.30 tff(424,plain,
% 9.06/9.30 (((~holdsAt(filling, n2)) | (~holdsAt(waterLevel(n3), n2)) | (~(tptp_fun_Event_7(n2, filling) = overflow))) | (tptp_fun_Event_7(n2, filling) = overflow)),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(425,plain,
% 9.06/9.30 (tptp_fun_Event_7(n2, filling) = overflow),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[424, 423])).
% 9.06/9.30 tff(426,plain,
% 9.06/9.30 (overflow = tptp_fun_Event_7(n2, filling)),
% 9.06/9.30 inference(symmetry,[status(thm)],[425])).
% 9.06/9.30 tff(427,plain,
% 9.06/9.30 (overflow = tapOn),
% 9.06/9.30 inference(transitivity,[status(thm)],[426, 361])).
% 9.06/9.30 tff(428,plain,
% 9.06/9.30 ((~(overflow = tapOn)) <=> (~(overflow = tapOn))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(429,axiom,(~(overflow = tapOn)), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','overflow_not_tapOn')).
% 9.06/9.30 tff(430,plain,
% 9.06/9.30 (~(overflow = tapOn)),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[429, 428])).
% 9.06/9.30 tff(431,plain,
% 9.06/9.30 ($false),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[430, 427])).
% 9.06/9.30 tff(432,plain,(~releasedAt(filling, n3)), inference(lemma,lemma(discharge,[]))).
% 9.06/9.30 tff(433,assumption,((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn))), introduced(assumption)).
% 9.06/9.30 tff(434,assumption,(~(happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))), introduced(assumption)).
% 9.06/9.30 tff(435,plain,
% 9.06/9.30 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(436,plain,
% 9.06/9.30 ((happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(tptp_fun_Event_5(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_5(n3, filling) = overflow)))))) <=> (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(437,plain,
% 9.06/9.30 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(tptp_fun_Event_5(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_5(n3, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))))),
% 9.06/9.30 inference(monotonicity,[status(thm)],[436])).
% 9.06/9.30 tff(438,plain,
% 9.06/9.30 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(tptp_fun_Event_5(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_5(n3, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))))),
% 9.06/9.30 inference(transitivity,[status(thm)],[437, 435])).
% 9.06/9.30 tff(439,plain,
% 9.06/9.30 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(tptp_fun_Event_5(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_5(n3, filling) = overflow))))))),
% 9.06/9.30 inference(quant_inst,[status(thm)],[])).
% 9.06/9.30 tff(440,plain,
% 9.06/9.30 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[439, 438])).
% 9.06/9.30 tff(441,plain,
% 9.06/9.30 ($false),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[440, 382, 434])).
% 9.06/9.30 tff(442,plain,(happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))), inference(lemma,lemma(discharge,[]))).
% 9.06/9.30 tff(443,plain,
% 9.06/9.30 (((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))) | holdsAt(filling, n3)),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(444,plain,
% 9.06/9.30 ((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[443, 207])).
% 9.06/9.30 tff(445,plain,
% 9.06/9.30 ((~((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))) | (~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))),
% 9.06/9.30 inference(tautology,[status(thm)],[])).
% 9.06/9.30 tff(446,plain,
% 9.06/9.30 (~((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))),
% 9.06/9.30 inference(unit_resolution,[status(thm)],[445, 444, 433])).
% 9.06/9.30 tff(447,assumption,(~releasedAt(filling, plus(n3, n1))), introduced(assumption)).
% 9.06/9.30 tff(448,plain,
% 9.06/9.30 (plus(n3, n1) = n4),
% 9.06/9.30 inference(transitivity,[status(thm)],[113, 110])).
% 9.06/9.30 tff(449,plain,
% 9.06/9.30 (holdsAt(filling, plus(n3, n1)) <=> holdsAt(filling, n4)),
% 9.06/9.30 inference(monotonicity,[status(thm)],[448])).
% 9.06/9.30 tff(450,plain,
% 9.06/9.30 (holdsAt(filling, n4) <=> holdsAt(filling, plus(n3, n1))),
% 9.06/9.30 inference(symmetry,[status(thm)],[449])).
% 9.06/9.30 tff(451,plain,
% 9.06/9.30 (holdsAt(filling, plus(n3, n1))),
% 9.06/9.30 inference(modus_ponens,[status(thm)],[416, 450])).
% 9.06/9.30 tff(452,plain,
% 9.06/9.30 (^[Fluent: $i, Time: $i] : refl((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))))),
% 9.06/9.30 inference(bind,[status(th)],[])).
% 9.06/9.30 tff(453,plain,
% 9.06/9.30 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 9.06/9.30 inference(quant_intro,[status(thm)],[452])).
% 9.06/9.30 tff(454,plain,
% 9.06/9.30 (^[Fluent: $i, Time: $i] : trans(monotonicity(rewrite((happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)) <=> (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))), ((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))))), rewrite((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))), ((releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))))),
% 9.06/9.30 inference(bind,[status(th)],[])).
% 9.06/9.30 tff(455,plain,
% 9.06/9.30 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 9.06/9.30 inference(quant_intro,[status(thm)],[454])).
% 9.06/9.30 tff(456,plain,
% 9.06/9.30 (^[Fluent: $i, Time: $i] : rewrite(((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))),
% 9.06/9.30 inference(bind,[status(th)],[])).
% 9.06/9.30 tff(457,plain,
% 9.06/9.30 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))) <=> ![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))),
% 9.06/9.30 inference(quant_intro,[status(thm)],[456])).
% 9.06/9.30 tff(458,plain,
% 9.06/9.30 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))) <=> ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 9.06/9.30 inference(rewrite,[status(thm)],[])).
% 9.06/9.30 tff(459,plain,
% 9.06/9.30 (^[Fluent: $i, Time: $i] : trans(monotonicity(trans(monotonicity(rewrite((~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))) <=> (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))), ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> (((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))), rewrite((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> ((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))), ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) <=> ((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))))), (((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> (((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))))), rewrite((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))), (((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))))),
% 9.06/9.31 inference(bind,[status(th)],[])).
% 9.06/9.31 tff(460,plain,
% 9.06/9.31 (![Fluent: $i, Time: $i] : ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 9.06/9.31 inference(quant_intro,[status(thm)],[459])).
% 9.06/9.31 tff(461,axiom,(![Fluent: $i, Time: $i] : ((((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1)))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time)))) => (~holdsAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax','keep_not_holding')).
% 9.06/9.31 tff(462,plain,
% 9.06/9.31 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 9.06/9.31 inference(modus_ponens,[status(thm)],[461, 460])).
% 9.06/9.31 tff(463,plain,
% 9.06/9.31 (![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~((~holdsAt(Fluent, Time)) & (~releasedAt(Fluent, plus(Time, n1))) & (~?[Event: $i] : (happens(Event, Time) & initiates(Event, Fluent, Time))))))),
% 9.06/9.31 inference(modus_ponens,[status(thm)],[462, 458])).
% 9.06/9.31 tff(464,plain,(
% 9.06/9.31 ![Fluent: $i, Time: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (holdsAt(Fluent, Time) | releasedAt(Fluent, plus(Time, n1)) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time))))),
% 9.06/9.31 inference(skolemize,[status(sab)],[463])).
% 9.06/9.31 tff(465,plain,
% 9.06/9.31 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (happens(tptp_fun_Event_5(Time, Fluent), Time) & initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))),
% 9.06/9.31 inference(modus_ponens,[status(thm)],[464, 457])).
% 9.06/9.31 tff(466,plain,
% 9.06/9.31 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 9.06/9.31 inference(modus_ponens,[status(thm)],[465, 455])).
% 9.06/9.31 tff(467,plain,
% 9.06/9.31 (![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))),
% 9.06/9.31 inference(modus_ponens,[status(thm)],[466, 453])).
% 9.06/9.31 tff(468,plain,
% 9.06/9.31 (((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(filling, plus(n3, n1)) | holdsAt(filling, n3) | (~holdsAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3)))))) <=> ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, plus(n3, n1)) | holdsAt(filling, n3) | (~holdsAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3)))))),
% 9.06/9.31 inference(rewrite,[status(thm)],[])).
% 9.06/9.31 tff(469,plain,
% 9.06/9.31 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | (releasedAt(filling, plus(n3, n1)) | holdsAt(filling, n3) | (~holdsAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3)))))),
% 9.06/9.31 inference(quant_inst,[status(thm)],[])).
% 9.06/9.31 tff(470,plain,
% 9.06/9.31 ((~![Fluent: $i, Time: $i] : (releasedAt(Fluent, plus(Time, n1)) | holdsAt(Fluent, Time) | (~holdsAt(Fluent, plus(Time, n1))) | (~((~happens(tptp_fun_Event_5(Time, Fluent), Time)) | (~initiates(tptp_fun_Event_5(Time, Fluent), Fluent, Time)))))) | releasedAt(filling, plus(n3, n1)) | holdsAt(filling, n3) | (~holdsAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3))))),
% 9.06/9.31 inference(modus_ponens,[status(thm)],[469, 468])).
% 9.06/9.31 tff(471,plain,
% 9.06/9.31 (releasedAt(filling, plus(n3, n1)) | holdsAt(filling, n3) | (~holdsAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3))))),
% 9.06/9.31 inference(unit_resolution,[status(thm)],[470, 467])).
% 9.06/9.31 tff(472,plain,
% 9.06/9.31 (releasedAt(filling, plus(n3, n1)) | holdsAt(filling, n3) | (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3))))),
% 9.06/9.31 inference(unit_resolution,[status(thm)],[471, 451])).
% 9.06/9.31 tff(473,plain,
% 9.06/9.31 (~((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3)))),
% 9.06/9.31 inference(unit_resolution,[status(thm)],[472, 207, 447])).
% 9.06/9.31 tff(474,plain,
% 9.06/9.31 (((~happens(tptp_fun_Event_5(n3, filling), n3)) | (~initiates(tptp_fun_Event_5(n3, filling), filling, n3))) | happens(tptp_fun_Event_5(n3, filling), n3)),
% 9.06/9.31 inference(tautology,[status(thm)],[])).
% 9.06/9.31 tff(475,plain,
% 9.06/9.31 (happens(tptp_fun_Event_5(n3, filling), n3)),
% 9.06/9.31 inference(unit_resolution,[status(thm)],[474, 473])).
% 9.06/9.31 tff(476,plain,
% 9.06/9.31 ((~(happens(tptp_fun_Event_5(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))) | (~happens(tptp_fun_Event_5(n3, filling), n3)) | ((~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | (~((~(tptp_fun_Event_5(n3, filling) = overflow)) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))),
% 9.06/9.31 inference(tautology,[status(thm)],[])).
% 9.06/9.31 tff(477,plain,
% 9.06/9.31 ($false),
% 9.06/9.31 inference(unit_resolution,[status(thm)],[476, 475, 446, 442])).
% 9.06/9.31 tff(478,plain,(holdsAt(filling, n3) | (~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn)))) | releasedAt(filling, plus(n3, n1))), inference(lemma,lemma(discharge,[]))).
% 9.15/9.31 tff(479,plain,
% 9.15/9.31 (releasedAt(filling, plus(n3, n1))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[478, 207, 433])).
% 9.15/9.31 tff(480,assumption,(~happens(tptp_fun_Event_7(n3, filling), n3)), introduced(assumption)).
% 9.15/9.31 tff(481,plain,
% 9.15/9.31 (((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3))) | happens(tptp_fun_Event_7(n3, filling), n3)),
% 9.15/9.31 inference(tautology,[status(thm)],[])).
% 9.15/9.31 tff(482,plain,
% 9.15/9.31 ((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[481, 480])).
% 9.15/9.31 tff(483,assumption,(~releasedAt(filling, n3)), introduced(assumption)).
% 9.15/9.31 tff(484,assumption,(releasedAt(filling, plus(n3, n1))), introduced(assumption)).
% 9.15/9.31 tff(485,plain,
% 9.15/9.31 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))) | releasedAt(filling, n3))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))) | releasedAt(filling, n3))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(486,plain,
% 9.15/9.31 (((~releasedAt(filling, plus(n3, n1))) | releasedAt(filling, n3) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3))))) <=> ((~releasedAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))) | releasedAt(filling, n3))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(487,plain,
% 9.15/9.31 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n3, n1))) | releasedAt(filling, n3) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))) | releasedAt(filling, n3)))),
% 9.15/9.31 inference(monotonicity,[status(thm)],[486])).
% 9.15/9.31 tff(488,plain,
% 9.15/9.31 (((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n3, n1))) | releasedAt(filling, n3) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))))) <=> ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))) | releasedAt(filling, n3))),
% 9.15/9.31 inference(transitivity,[status(thm)],[487, 485])).
% 9.15/9.31 tff(489,plain,
% 9.15/9.31 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | ((~releasedAt(filling, plus(n3, n1))) | releasedAt(filling, n3) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))))),
% 9.15/9.31 inference(quant_inst,[status(thm)],[])).
% 9.15/9.31 tff(490,plain,
% 9.15/9.31 ((~![Fluent: $i, Time: $i] : ((~releasedAt(Fluent, plus(Time, n1))) | releasedAt(Fluent, Time) | (~((~happens(tptp_fun_Event_7(Time, Fluent), Time)) | (~releases(tptp_fun_Event_7(Time, Fluent), Fluent, Time)))))) | (~releasedAt(filling, plus(n3, n1))) | (~((~happens(tptp_fun_Event_7(n3, filling), n3)) | (~releases(tptp_fun_Event_7(n3, filling), filling, n3)))) | releasedAt(filling, n3)),
% 9.15/9.31 inference(modus_ponens,[status(thm)],[489, 488])).
% 9.15/9.31 tff(491,plain,
% 9.15/9.31 ($false),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[490, 331, 484, 483, 482])).
% 9.15/9.31 tff(492,plain,((~releasedAt(filling, plus(n3, n1))) | releasedAt(filling, n3) | happens(tptp_fun_Event_7(n3, filling), n3)), inference(lemma,lemma(discharge,[]))).
% 9.15/9.31 tff(493,plain,
% 9.15/9.31 (happens(tptp_fun_Event_7(n3, filling), n3)),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[492, 479, 432])).
% 9.15/9.31 tff(494,assumption,(~(happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))), introduced(assumption)).
% 9.15/9.31 tff(495,plain,
% 9.15/9.31 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(496,plain,
% 9.15/9.31 ((happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(tptp_fun_Event_7(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))) <=> (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(497,plain,
% 9.15/9.31 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(tptp_fun_Event_7(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))))),
% 9.15/9.31 inference(monotonicity,[status(thm)],[496])).
% 9.15/9.31 tff(498,plain,
% 9.15/9.31 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(tptp_fun_Event_7(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))))),
% 9.15/9.31 inference(transitivity,[status(thm)],[497, 495])).
% 9.15/9.31 tff(499,plain,
% 9.15/9.31 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(tptp_fun_Event_7(n3, filling) = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))),
% 9.15/9.31 inference(quant_inst,[status(thm)],[])).
% 9.15/9.31 tff(500,plain,
% 9.15/9.31 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))),
% 9.15/9.31 inference(modus_ponens,[status(thm)],[499, 498])).
% 9.15/9.31 tff(501,plain,
% 9.15/9.31 ($false),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[500, 382, 494])).
% 9.15/9.31 tff(502,plain,(happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))), inference(lemma,lemma(discharge,[]))).
% 9.15/9.31 tff(503,plain,
% 9.15/9.31 ((~(happens(tptp_fun_Event_7(n3, filling), n3) <=> ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow))))))) | (~happens(tptp_fun_Event_7(n3, filling), n3)) | ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))),
% 9.15/9.31 inference(tautology,[status(thm)],[])).
% 9.15/9.31 tff(504,plain,
% 9.15/9.31 ((~happens(tptp_fun_Event_7(n3, filling), n3)) | ((~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(tptp_fun_Event_7(n3, filling) = overflow)))))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[503, 502])).
% 9.15/9.31 tff(505,plain,
% 9.15/9.31 ($false),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[504, 493, 217])).
% 9.15/9.31 tff(506,plain,(holdsAt(filling, n3) | (~((~(n3 = n0)) | (~(tptp_fun_Event_7(n3, filling) = tapOn)))) | (~((~(n3 = n0)) | (~(tptp_fun_Event_5(n3, filling) = tapOn))))), inference(lemma,lemma(discharge,[]))).
% 9.15/9.31 tff(507,plain,
% 9.15/9.31 ($false),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[506, 212, 210, 207])).
% 9.15/9.31 tff(508,plain,((n3 = n0) | holdsAt(filling, n3)), inference(lemma,lemma(discharge,[]))).
% 9.15/9.31 tff(509,plain,
% 9.15/9.31 (holdsAt(filling, n3)),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[508, 206])).
% 9.15/9.31 tff(510,plain,
% 9.15/9.31 (holdsAt(waterLevel(n3), n3) <=> holdsAt(waterLevel(n3), n3)),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(511,axiom,(holdsAt(waterLevel(n3), n3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','waterLevel_3')).
% 9.15/9.31 tff(512,plain,
% 9.15/9.31 (holdsAt(waterLevel(n3), n3)),
% 9.15/9.31 inference(modus_ponens,[status(thm)],[511, 510])).
% 9.15/9.31 tff(513,plain,
% 9.15/9.31 ((~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))) | (~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))),
% 9.15/9.31 inference(tautology,[status(thm)],[])).
% 9.15/9.31 tff(514,plain,
% 9.15/9.31 ((~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))) | (~holdsAt(filling, n3))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[513, 512])).
% 9.15/9.31 tff(515,plain,
% 9.15/9.31 (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[514, 509])).
% 9.15/9.31 tff(516,plain,
% 9.15/9.31 (((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))) | ((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))),
% 9.15/9.31 inference(tautology,[status(thm)],[])).
% 9.15/9.31 tff(517,plain,
% 9.15/9.31 ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[516, 515])).
% 9.15/9.31 tff(518,plain,
% 9.15/9.31 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(519,plain,
% 9.15/9.31 ((happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(overflow = overflow)))))) <=> (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(520,plain,
% 9.15/9.31 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(overflow = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))))),
% 9.15/9.31 inference(monotonicity,[status(thm)],[519])).
% 9.15/9.31 tff(521,plain,
% 9.15/9.31 (((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(overflow = overflow))))))) <=> ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))))),
% 9.15/9.31 inference(transitivity,[status(thm)],[520, 518])).
% 9.15/9.31 tff(522,plain,
% 9.15/9.31 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)) | (~(overflow = overflow))))))),
% 9.15/9.31 inference(quant_inst,[status(thm)],[])).
% 9.15/9.31 tff(523,plain,
% 9.15/9.31 ((~![Event: $i, Time: $i] : (happens(Event, Time) <=> ((~((~(Event = tapOn)) | (~(Time = n0)))) | (~((~holdsAt(waterLevel(n3), Time)) | (~holdsAt(filling, Time)) | (~(Event = overflow))))))) | (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))),
% 9.15/9.31 inference(modus_ponens,[status(thm)],[522, 521])).
% 9.15/9.31 tff(524,plain,
% 9.15/9.31 (happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3)))))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[523, 382])).
% 9.15/9.31 tff(525,plain,
% 9.15/9.31 ((~(happens(overflow, n3) <=> ((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))) | happens(overflow, n3) | (~((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))),
% 9.15/9.31 inference(tautology,[status(thm)],[])).
% 9.15/9.31 tff(526,plain,
% 9.15/9.31 (happens(overflow, n3) | (~((~((~(overflow = tapOn)) | (~(n3 = n0)))) | (~((~holdsAt(waterLevel(n3), n3)) | (~holdsAt(filling, n3))))))),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[525, 524])).
% 9.15/9.31 tff(527,plain,
% 9.15/9.31 (happens(overflow, n3)),
% 9.15/9.31 inference(unit_resolution,[status(thm)],[526, 517])).
% 9.15/9.31 tff(528,plain,
% 9.15/9.31 (^[Event: $i, Time: $i, Fluent: $i] : refl(((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))),
% 9.15/9.31 inference(bind,[status(th)],[])).
% 9.15/9.31 tff(529,plain,
% 9.15/9.31 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 9.15/9.31 inference(quant_intro,[status(thm)],[528])).
% 9.15/9.31 tff(530,plain,
% 9.15/9.31 (^[Event: $i, Time: $i, Fluent: $i] : trans(monotonicity(trans(monotonicity(rewrite((happens(Event, Time) & terminates(Event, Fluent, Time)) <=> (~((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))), ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) <=> (~(~((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))))), rewrite((~(~((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))) <=> ((~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))), ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) <=> ((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))))), (((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> (((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))))), rewrite((((~happens(Event, Time)) | (~terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))), (((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))))),
% 9.15/9.31 inference(bind,[status(th)],[])).
% 9.15/9.31 tff(531,plain,
% 9.15/9.31 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 9.15/9.31 inference(quant_intro,[status(thm)],[530])).
% 9.15/9.31 tff(532,plain,
% 9.15/9.31 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 9.15/9.31 inference(rewrite,[status(thm)],[])).
% 9.15/9.31 tff(533,plain,
% 9.15/9.31 (^[Event: $i, Time: $i, Fluent: $i] : rewrite(((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1)))))),
% 9.15/9.31 inference(bind,[status(th)],[])).
% 9.15/9.31 tff(534,plain,
% 9.15/9.31 (![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1)))) <=> ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 9.15/9.31 inference(quant_intro,[status(thm)],[533])).
% 9.15/9.31 tff(535,axiom,(![Event: $i, Time: $i, Fluent: $i] : ((happens(Event, Time) & terminates(Event, Fluent, Time)) => (~holdsAt(Fluent, plus(Time, n1))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax','happens_terminates_not_holds')).
% 9.15/9.32 tff(536,plain,
% 9.15/9.32 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[535, 534])).
% 9.15/9.32 tff(537,plain,
% 9.15/9.32 (![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[536, 532])).
% 9.15/9.32 tff(538,plain,(
% 9.15/9.32 ![Event: $i, Time: $i, Fluent: $i] : ((~(happens(Event, Time) & terminates(Event, Fluent, Time))) | (~holdsAt(Fluent, plus(Time, n1))))),
% 9.15/9.32 inference(skolemize,[status(sab)],[537])).
% 9.15/9.32 tff(539,plain,
% 9.15/9.32 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[538, 531])).
% 9.15/9.32 tff(540,plain,
% 9.15/9.32 (![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[539, 529])).
% 9.15/9.32 tff(541,plain,
% 9.15/9.32 (((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | ((~holdsAt(filling, plus(n3, n1))) | (~happens(overflow, n3)) | (~terminates(overflow, filling, n3)))) <=> ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | (~holdsAt(filling, plus(n3, n1))) | (~happens(overflow, n3)) | (~terminates(overflow, filling, n3)))),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(542,plain,
% 9.15/9.32 ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | ((~holdsAt(filling, plus(n3, n1))) | (~happens(overflow, n3)) | (~terminates(overflow, filling, n3)))),
% 9.15/9.32 inference(quant_inst,[status(thm)],[])).
% 9.15/9.32 tff(543,plain,
% 9.15/9.32 ((~![Event: $i, Time: $i, Fluent: $i] : ((~holdsAt(Fluent, plus(Time, n1))) | (~happens(Event, Time)) | (~terminates(Event, Fluent, Time)))) | (~holdsAt(filling, plus(n3, n1))) | (~happens(overflow, n3)) | (~terminates(overflow, filling, n3))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[542, 541])).
% 9.15/9.32 tff(544,plain,
% 9.15/9.32 (~terminates(overflow, filling, n3)),
% 9.15/9.32 inference(unit_resolution,[status(thm)],[543, 540, 451, 527])).
% 9.15/9.32 tff(545,plain,
% 9.15/9.32 (^[Event: $i, Fluent: $i, Time: $i] : refl((terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff)))))) <=> (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff)))))))),
% 9.15/9.32 inference(bind,[status(th)],[])).
% 9.15/9.32 tff(546,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff)))))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))),
% 9.15/9.32 inference(quant_intro,[status(thm)],[545])).
% 9.15/9.32 tff(547,plain,
% 9.15/9.32 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling)))) <=> (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff)))))))),
% 9.15/9.32 inference(bind,[status(th)],[])).
% 9.15/9.32 tff(548,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))),
% 9.15/9.32 inference(quant_intro,[status(thm)],[547])).
% 9.15/9.32 tff(549,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling))))),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(550,plain,
% 9.15/9.32 (^[Event: $i, Fluent: $i, Time: $i] : rewrite((terminates(Event, Fluent, Time) <=> (((Event = tapOff) & (Fluent = filling)) | ((Event = overflow) & (Fluent = filling)))) <=> (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling)))))),
% 9.15/9.32 inference(bind,[status(th)],[])).
% 9.15/9.32 tff(551,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = tapOff) & (Fluent = filling)) | ((Event = overflow) & (Fluent = filling)))) <=> ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling))))),
% 9.15/9.32 inference(quant_intro,[status(thm)],[550])).
% 9.15/9.32 tff(552,axiom,(![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = tapOff) & (Fluent = filling)) | ((Event = overflow) & (Fluent = filling))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax','terminates_all_defn')).
% 9.15/9.32 tff(553,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling))))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[552, 551])).
% 9.15/9.32 tff(554,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling))))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[553, 549])).
% 9.15/9.32 tff(555,plain,(
% 9.15/9.32 ![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> (((Event = overflow) & (Fluent = filling)) | ((Event = tapOff) & (Fluent = filling))))),
% 9.15/9.32 inference(skolemize,[status(sab)],[554])).
% 9.15/9.32 tff(556,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[555, 548])).
% 9.15/9.32 tff(557,plain,
% 9.15/9.32 (![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[556, 546])).
% 9.15/9.32 tff(558,plain,
% 9.15/9.32 (((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | terminates(overflow, filling, n3)) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | terminates(overflow, filling, n3))),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(559,plain,
% 9.15/9.32 ((terminates(overflow, filling, n3) <=> $true) <=> terminates(overflow, filling, n3)),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(560,plain,
% 9.15/9.32 (($true | (overflow = tapOff)) <=> $true),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(561,plain,
% 9.15/9.32 ((~(~(overflow = tapOff))) <=> (overflow = tapOff)),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(562,plain,
% 9.15/9.32 (($false | (~(overflow = tapOff))) <=> (~(overflow = tapOff))),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(563,plain,
% 9.15/9.32 ((~$true) <=> $false),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(564,plain,
% 9.15/9.32 ((filling = filling) <=> $true),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(565,plain,
% 9.15/9.32 ((~(filling = filling)) <=> (~$true)),
% 9.15/9.32 inference(monotonicity,[status(thm)],[564])).
% 9.15/9.32 tff(566,plain,
% 9.15/9.32 ((~(filling = filling)) <=> $false),
% 9.15/9.32 inference(transitivity,[status(thm)],[565, 563])).
% 9.15/9.32 tff(567,plain,
% 9.15/9.32 (((~(filling = filling)) | (~(overflow = tapOff))) <=> ($false | (~(overflow = tapOff)))),
% 9.15/9.32 inference(monotonicity,[status(thm)],[566])).
% 9.15/9.32 tff(568,plain,
% 9.15/9.32 (((~(filling = filling)) | (~(overflow = tapOff))) <=> (~(overflow = tapOff))),
% 9.15/9.32 inference(transitivity,[status(thm)],[567, 562])).
% 9.15/9.32 tff(569,plain,
% 9.15/9.32 ((~((~(filling = filling)) | (~(overflow = tapOff)))) <=> (~(~(overflow = tapOff)))),
% 9.15/9.32 inference(monotonicity,[status(thm)],[568])).
% 9.15/9.32 tff(570,plain,
% 9.15/9.32 ((~((~(filling = filling)) | (~(overflow = tapOff)))) <=> (overflow = tapOff)),
% 9.15/9.32 inference(transitivity,[status(thm)],[569, 561])).
% 9.15/9.32 tff(571,plain,
% 9.15/9.32 ((~$false) <=> $true),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(572,plain,
% 9.15/9.32 (($false | $false) <=> $false),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(573,plain,
% 9.15/9.32 ((overflow = overflow) <=> $true),
% 9.15/9.32 inference(rewrite,[status(thm)],[])).
% 9.15/9.32 tff(574,plain,
% 9.15/9.32 ((~(overflow = overflow)) <=> (~$true)),
% 9.15/9.32 inference(monotonicity,[status(thm)],[573])).
% 9.15/9.32 tff(575,plain,
% 9.15/9.32 ((~(overflow = overflow)) <=> $false),
% 9.15/9.32 inference(transitivity,[status(thm)],[574, 563])).
% 9.15/9.32 tff(576,plain,
% 9.15/9.32 (((~(overflow = overflow)) | (~(filling = filling))) <=> ($false | $false)),
% 9.15/9.32 inference(monotonicity,[status(thm)],[575, 566])).
% 9.15/9.32 tff(577,plain,
% 9.15/9.32 (((~(overflow = overflow)) | (~(filling = filling))) <=> $false),
% 9.15/9.32 inference(transitivity,[status(thm)],[576, 572])).
% 9.15/9.32 tff(578,plain,
% 9.15/9.32 ((~((~(overflow = overflow)) | (~(filling = filling)))) <=> (~$false)),
% 9.15/9.32 inference(monotonicity,[status(thm)],[577])).
% 9.15/9.32 tff(579,plain,
% 9.15/9.32 ((~((~(overflow = overflow)) | (~(filling = filling)))) <=> $true),
% 9.15/9.32 inference(transitivity,[status(thm)],[578, 571])).
% 9.15/9.32 tff(580,plain,
% 9.15/9.32 (((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff))))) <=> ($true | (overflow = tapOff))),
% 9.15/9.32 inference(monotonicity,[status(thm)],[579, 570])).
% 9.15/9.32 tff(581,plain,
% 9.15/9.32 (((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff))))) <=> $true),
% 9.15/9.32 inference(transitivity,[status(thm)],[580, 560])).
% 9.15/9.32 tff(582,plain,
% 9.15/9.32 ((terminates(overflow, filling, n3) <=> ((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff)))))) <=> (terminates(overflow, filling, n3) <=> $true)),
% 9.15/9.32 inference(monotonicity,[status(thm)],[581])).
% 9.15/9.32 tff(583,plain,
% 9.15/9.32 ((terminates(overflow, filling, n3) <=> ((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff)))))) <=> terminates(overflow, filling, n3)),
% 9.15/9.32 inference(transitivity,[status(thm)],[582, 559])).
% 9.15/9.32 tff(584,plain,
% 9.15/9.32 (((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | (terminates(overflow, filling, n3) <=> ((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | terminates(overflow, filling, n3))),
% 9.15/9.32 inference(monotonicity,[status(thm)],[583])).
% 9.15/9.32 tff(585,plain,
% 9.15/9.32 (((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | (terminates(overflow, filling, n3) <=> ((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff))))))) <=> ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | terminates(overflow, filling, n3))),
% 9.15/9.32 inference(transitivity,[status(thm)],[584, 558])).
% 9.15/9.32 tff(586,plain,
% 9.15/9.32 ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | (terminates(overflow, filling, n3) <=> ((~((~(overflow = overflow)) | (~(filling = filling)))) | (~((~(filling = filling)) | (~(overflow = tapOff))))))),
% 9.15/9.32 inference(quant_inst,[status(thm)],[])).
% 9.15/9.32 tff(587,plain,
% 9.15/9.32 ((~![Event: $i, Fluent: $i, Time: $i] : (terminates(Event, Fluent, Time) <=> ((~((~(Event = overflow)) | (~(Fluent = filling)))) | (~((~(Fluent = filling)) | (~(Event = tapOff))))))) | terminates(overflow, filling, n3)),
% 9.15/9.32 inference(modus_ponens,[status(thm)],[586, 585])).
% 9.15/9.32 tff(588,plain,
% 9.15/9.32 ($false),
% 9.15/9.32 inference(unit_resolution,[status(thm)],[587, 557, 544])).
% 9.15/9.32 % SZS output end Proof
% 9.15/9.32 % E exiting
%------------------------------------------------------------------------------