%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV029-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:09:00 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : HWV029-1 : TPTP v9.0.0. Released v2.5.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 17:20:26 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(plus_type, type, (
% 0.19/0.43 plus: ( $i * $i ) > $i)).
% 0.19/0.43 tff(n1_type, type, (
% 0.19/0.43 n1: $i)).
% 0.19/0.43 tff(int_level_type, type, (
% 0.19/0.43 int_level: $i > $i)).
% 0.19/0.43 tff(x_139_type, type, (
% 0.19/0.43 x_139: $i)).
% 0.19/0.43 tff(gt_type, type, (
% 0.19/0.43 gt: ( $i * $i ) > $o)).
% 0.19/0.43 tff(minus_type, type, (
% 0.19/0.43 minus: ( $i * $i ) > $i)).
% 0.19/0.43 tff(fifo_length_type, type, (
% 0.19/0.43 fifo_length: $i)).
% 0.19/0.43 tff(level_type, type, (
% 0.19/0.43 level: $i > $i)).
% 0.19/0.43 tff(n0_type, type, (
% 0.19/0.43 n0: $i)).
% 0.19/0.43 tff(def_10_type, type, (
% 0.19/0.43 def_10: ( $i * $i ) > $o)).
% 0.19/0.43 tff(p_Rd_type, type, (
% 0.19/0.43 p_Rd: $i > $o)).
% 0.19/0.43 tff(p_Wr_type, type, (
% 0.19/0.43 p_Wr: $i > $o)).
% 0.19/0.43 tff(p_Reset_type, type, (
% 0.19/0.43 p_Reset: $i > $o)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 ((n1 = plus(n0, n1)) <=> (n1 = plus(n0, n1))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(2,axiom,(n1 = plus(n0, n1)), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_20')).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 (n1 = plus(n0, n1)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.43 tff(4,plain,
% 0.19/0.43 (plus(n0, n1) = n1),
% 0.19/0.43 inference(symmetry,[status(thm)],[3])).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (minus(fifo_length, plus(n0, n1)) = minus(fifo_length, n1)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[4])).
% 0.19/0.43 tff(6,plain,
% 0.19/0.43 (minus(fifo_length, n1) = minus(fifo_length, plus(n0, n1))),
% 0.19/0.43 inference(symmetry,[status(thm)],[5])).
% 0.19/0.43 tff(7,plain,
% 0.19/0.43 (plus(minus(fifo_length, n1), n1) = plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[6, 3])).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = plus(minus(fifo_length, n1), n1)),
% 0.19/0.43 inference(symmetry,[status(thm)],[7])).
% 0.19/0.43 tff(9,plain,
% 0.19/0.43 (plus(n0, plus(n0, n1)) = plus(n0, n1)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[4])).
% 0.19/0.43 tff(10,plain,
% 0.19/0.43 (plus(n0, n1) = plus(n0, plus(n0, n1))),
% 0.19/0.43 inference(symmetry,[status(thm)],[9])).
% 0.19/0.43 tff(11,assumption,(def_10(plus(n0, n1), fifo_length)), introduced(assumption)).
% 0.19/0.43 tff(12,plain,
% 0.19/0.43 (^[Y_4: $i, X_3: $i] : refl(((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))) <=> ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(13,plain,
% 0.19/0.43 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))) <=> ![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[12])).
% 0.19/0.43 tff(14,plain,
% 0.19/0.43 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))) <=> ![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(15,axiom,(![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_6')).
% 0.19/0.43 tff(16,plain,
% 0.19/0.43 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.43 tff(17,plain,(
% 0.19/0.43 ![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[16])).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.19/0.43 tff(19,plain,
% 0.19/0.43 (((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | ((~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1))))) <=> ((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | (~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(20,plain,
% 0.19/0.43 ((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | ((~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(21,plain,
% 0.19/0.43 ((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | (~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.19/0.43 tff(22,plain,
% 0.19/0.43 (~gt(fifo_length, plus(n0, n1))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[21, 18, 11])).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 (gt(fifo_length, n0) <=> gt(fifo_length, n0)),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(24,axiom,(gt(fifo_length, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.19/0.44 tff(25,plain,
% 0.19/0.44 (gt(fifo_length, n0)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.44 tff(26,plain,
% 0.19/0.44 (^[Y_24: $i, X_23: $i] : refl((gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) <=> (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(27,plain,
% 0.19/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) <=> ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[26])).
% 0.19/0.44 tff(28,plain,
% 0.19/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) <=> ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(29,plain,
% 0.19/0.44 (^[Y_24: $i, X_23: $i] : rewrite((((~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) | gt(Y_24, plus(X_23, n1))) <=> (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(30,plain,
% 0.19/0.44 (![Y_24: $i, X_23: $i] : (((~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) | gt(Y_24, plus(X_23, n1))) <=> ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[29])).
% 0.19/0.44 tff(31,axiom,(![Y_24: $i, X_23: $i] : (((~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) | gt(Y_24, plus(X_23, n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_14')).
% 0.19/0.44 tff(32,plain,
% 0.19/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.44 tff(33,plain,
% 0.19/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.19/0.44 tff(34,plain,(
% 0.19/0.44 ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(skolemize,[status(sab)],[33])).
% 0.19/0.44 tff(35,plain,
% 0.19/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.19/0.44 tff(36,plain,
% 0.19/0.44 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | ((~gt(fifo_length, n0)) | gt(fifo_length, plus(n0, n1)) | (plus(n0, n1) = fifo_length))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (~gt(fifo_length, n0)) | gt(fifo_length, plus(n0, n1)) | (plus(n0, n1) = fifo_length))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(37,plain,
% 0.19/0.44 ((gt(fifo_length, plus(n0, n1)) | (~gt(fifo_length, n0)) | (plus(n0, n1) = fifo_length)) <=> ((~gt(fifo_length, n0)) | gt(fifo_length, plus(n0, n1)) | (plus(n0, n1) = fifo_length))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(38,plain,
% 0.19/0.44 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(fifo_length, plus(n0, n1)) | (~gt(fifo_length, n0)) | (plus(n0, n1) = fifo_length))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | ((~gt(fifo_length, n0)) | gt(fifo_length, plus(n0, n1)) | (plus(n0, n1) = fifo_length)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[37])).
% 0.19/0.44 tff(39,plain,
% 0.19/0.44 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(fifo_length, plus(n0, n1)) | (~gt(fifo_length, n0)) | (plus(n0, n1) = fifo_length))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (~gt(fifo_length, n0)) | gt(fifo_length, plus(n0, n1)) | (plus(n0, n1) = fifo_length))),
% 0.19/0.44 inference(transitivity,[status(thm)],[38, 36])).
% 0.19/0.44 tff(40,plain,
% 0.19/0.44 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(fifo_length, plus(n0, n1)) | (~gt(fifo_length, n0)) | (plus(n0, n1) = fifo_length))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(41,plain,
% 0.19/0.44 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (~gt(fifo_length, n0)) | gt(fifo_length, plus(n0, n1)) | (plus(n0, n1) = fifo_length)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.44 tff(42,plain,
% 0.19/0.44 (plus(n0, n1) = fifo_length),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[41, 35, 25, 22])).
% 0.19/0.44 tff(43,plain,
% 0.19/0.44 (fifo_length = plus(n0, n1)),
% 0.19/0.44 inference(symmetry,[status(thm)],[42])).
% 0.19/0.44 tff(44,plain,
% 0.19/0.44 (fifo_length = plus(n0, plus(n0, n1))),
% 0.19/0.44 inference(transitivity,[status(thm)],[43, 10])).
% 0.19/0.44 tff(45,plain,
% 0.19/0.44 (def_10(fifo_length, fifo_length) <=> def_10(plus(n0, n1), plus(n0, plus(n0, n1)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[43, 44])).
% 0.19/0.44 tff(46,plain,
% 0.19/0.44 (def_10(plus(n0, n1), plus(n0, plus(n0, n1))) <=> def_10(fifo_length, fifo_length)),
% 0.19/0.44 inference(symmetry,[status(thm)],[45])).
% 0.19/0.44 tff(47,plain,
% 0.19/0.44 (def_10(plus(n0, n1), fifo_length) <=> def_10(plus(n0, n1), plus(n0, plus(n0, n1)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[44])).
% 0.19/0.44 tff(48,plain,
% 0.19/0.44 (def_10(plus(n0, n1), plus(n0, plus(n0, n1)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[11, 47])).
% 0.19/0.44 tff(49,plain,
% 0.19/0.44 (def_10(fifo_length, fifo_length)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[48, 46])).
% 0.19/0.44 tff(50,plain,
% 0.19/0.44 (^[Y_4: $i] : refl((~def_10(Y_4, Y_4)) <=> (~def_10(Y_4, Y_4)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(51,plain,
% 0.19/0.44 (![Y_4: $i] : (~def_10(Y_4, Y_4)) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[50])).
% 0.19/0.44 tff(52,plain,
% 0.19/0.44 (![Y_4: $i] : (~def_10(Y_4, Y_4)) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(53,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : (~def_10(Y_4, Y_4)) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(elim_unused_vars,[status(thm)],[])).
% 0.19/0.44 tff(54,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~(X_3 = Y_4))) <=> ![Y_4: $i, X_3: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.19/0.44 tff(55,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~(X_3 = Y_4))) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(transitivity,[status(thm)],[54, 53])).
% 0.19/0.44 tff(56,axiom,(![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~(X_3 = Y_4)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_7')).
% 0.19/0.44 tff(57,plain,
% 0.19/0.44 (![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.19/0.44 tff(58,plain,
% 0.19/0.44 (![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[57, 52])).
% 0.19/0.44 tff(59,plain,(
% 0.19/0.44 ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(skolemize,[status(sab)],[58])).
% 0.19/0.44 tff(60,plain,
% 0.19/0.44 (![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[59, 51])).
% 0.19/0.44 tff(61,plain,
% 0.19/0.44 ((~![Y_4: $i] : (~def_10(Y_4, Y_4))) | (~def_10(fifo_length, fifo_length))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(62,plain,
% 0.19/0.44 (~def_10(fifo_length, fifo_length)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[61, 60])).
% 0.19/0.44 tff(63,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[62, 49])).
% 0.19/0.44 tff(64,plain,(~def_10(plus(n0, n1), fifo_length)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(65,plain,
% 0.19/0.44 (^[Y_4: $i, X_3: $i] : refl((def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(66,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[65])).
% 0.19/0.44 tff(67,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(68,plain,
% 0.19/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(elim_unused_vars,[status(thm)],[])).
% 0.19/0.44 tff(69,plain,
% 0.19/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5))) <=> ![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.19/0.44 tff(70,plain,
% 0.19/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5))) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(transitivity,[status(thm)],[69, 68])).
% 0.19/0.44 tff(71,plain,
% 0.19/0.44 (^[Y_4: $i, Z_5: $i, X_3: $i] : rewrite((((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3)) <=> (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(72,plain,
% 0.19/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3)) <=> ![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[71])).
% 0.19/0.44 tff(73,plain,
% 0.19/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(transitivity,[status(thm)],[72, 70])).
% 0.19/0.44 tff(74,axiom,(![Y_4: $i, Z_5: $i, X_3: $i] : (((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_4')).
% 0.19/0.44 tff(75,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.44 tff(76,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[75, 67])).
% 0.19/0.44 tff(77,plain,(
% 0.19/0.44 ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(skolemize,[status(sab)],[76])).
% 0.19/0.44 tff(78,plain,
% 0.19/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[77, 66])).
% 0.19/0.44 tff(79,plain,
% 0.19/0.44 (((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | (def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length))) <=> ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(80,plain,
% 0.19/0.44 ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | (def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(81,plain,
% 0.19/0.44 ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.19/0.44 tff(82,plain,
% 0.19/0.44 (def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[81, 78])).
% 0.19/0.44 tff(83,plain,
% 0.19/0.44 (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[82, 64])).
% 0.19/0.44 tff(84,plain,
% 0.19/0.44 (fifo_length = plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1))),
% 0.19/0.44 inference(symmetry,[status(thm)],[83])).
% 0.19/0.44 tff(85,plain,
% 0.19/0.44 (fifo_length = plus(minus(fifo_length, n1), n1)),
% 0.19/0.44 inference(transitivity,[status(thm)],[84, 8])).
% 0.19/0.44 tff(86,assumption,(plus(minus(fifo_length, n1), n1) = int_level(x_139)), introduced(assumption)).
% 0.19/0.44 tff(87,plain,
% 0.19/0.44 (int_level(x_139) = plus(minus(fifo_length, n1), n1)),
% 0.19/0.44 inference(symmetry,[status(thm)],[86])).
% 0.19/0.44 tff(88,plain,
% 0.19/0.44 (^[X_t_32: $i] : refl((level(X_t_32) = int_level(X_t_32)) <=> (level(X_t_32) = int_level(X_t_32)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(89,plain,
% 0.19/0.44 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32)) <=> ![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[88])).
% 0.19/0.44 tff(90,plain,
% 0.19/0.44 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32)) <=> ![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(91,axiom,(![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_21')).
% 0.19/0.44 tff(92,plain,
% 0.19/0.44 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.19/0.44 tff(93,plain,(
% 0.19/0.44 ![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.19/0.44 inference(skolemize,[status(sab)],[92])).
% 0.19/0.44 tff(94,plain,
% 0.19/0.44 (![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.19/0.44 tff(95,plain,
% 0.19/0.44 ((~![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))) | (level(x_139) = int_level(x_139))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(96,plain,
% 0.19/0.44 (level(x_139) = int_level(x_139)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[95, 94])).
% 0.19/0.44 tff(97,plain,
% 0.19/0.44 (level(x_139) = plus(minus(fifo_length, n1), n1)),
% 0.19/0.44 inference(transitivity,[status(thm)],[96, 87])).
% 0.19/0.44 tff(98,plain,
% 0.19/0.44 (gt(level(x_139), fifo_length) <=> gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[97, 85])).
% 0.19/0.44 tff(99,plain,
% 0.19/0.44 (gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1)) <=> gt(level(x_139), fifo_length)),
% 0.19/0.44 inference(symmetry,[status(thm)],[98])).
% 0.19/0.44 tff(100,plain,
% 0.19/0.44 (plus(minus(fifo_length, n1), n1) = fifo_length),
% 0.19/0.44 inference(transitivity,[status(thm)],[7, 83])).
% 0.19/0.44 tff(101,plain,
% 0.19/0.44 (gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1)) <=> gt(fifo_length, int_level(x_139))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[100, 86])).
% 0.19/0.44 tff(102,plain,
% 0.19/0.44 (gt(fifo_length, int_level(x_139)) <=> gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.44 inference(symmetry,[status(thm)],[101])).
% 0.19/0.44 tff(103,plain,
% 0.19/0.44 (gt(fifo_length, level(x_139)) <=> gt(fifo_length, int_level(x_139))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[96])).
% 0.19/0.44 tff(104,plain,
% 0.19/0.44 (gt(fifo_length, int_level(x_139)) <=> gt(fifo_length, level(x_139))),
% 0.19/0.44 inference(symmetry,[status(thm)],[103])).
% 0.19/0.44 tff(105,plain,
% 0.19/0.44 ((~gt(fifo_length, int_level(x_139))) <=> (~gt(fifo_length, level(x_139)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[104])).
% 0.19/0.44 tff(106,assumption,(~gt(fifo_length, int_level(x_139))), introduced(assumption)).
% 0.19/0.44 tff(107,plain,
% 0.19/0.44 (~gt(fifo_length, level(x_139))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.19/0.44 tff(108,plain,
% 0.19/0.44 ((~gt(level(x_139), fifo_length)) <=> (~gt(level(x_139), fifo_length))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(109,axiom,(~gt(level(x_139), fifo_length)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.44 tff(110,plain,
% 0.19/0.44 (~gt(level(x_139), fifo_length)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.19/0.44 tff(111,plain,
% 0.19/0.44 (^[Y_18: $i, X_17: $i] : refl((gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(112,plain,
% 0.19/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[111])).
% 0.19/0.44 tff(113,plain,
% 0.19/0.44 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(114,plain,
% 0.19/0.44 (^[Y_18: $i, X_17: $i] : trans(monotonicity(rewrite((gt(Y_18, X_17) | (X_17 = Y_18)) <=> ((X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)))), rewrite((((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(115,plain,
% 0.19/0.45 (![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[114])).
% 0.19/0.45 tff(116,axiom,(![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_12')).
% 0.19/0.45 tff(117,plain,
% 0.19/0.45 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.19/0.45 tff(118,plain,
% 0.19/0.45 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[117, 113])).
% 0.19/0.45 tff(119,plain,(
% 0.19/0.45 ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.45 inference(skolemize,[status(sab)],[118])).
% 0.19/0.45 tff(120,plain,
% 0.19/0.45 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[119, 112])).
% 0.19/0.45 tff(121,plain,
% 0.19/0.45 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(level(x_139), fifo_length) | gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(level(x_139), fifo_length) | gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(122,plain,
% 0.19/0.45 ((gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)) | gt(level(x_139), fifo_length)) <=> (gt(level(x_139), fifo_length) | gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(123,plain,
% 0.19/0.45 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)) | gt(level(x_139), fifo_length))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(level(x_139), fifo_length) | gt(fifo_length, level(x_139)) | (fifo_length = level(x_139))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[122])).
% 0.19/0.45 tff(124,plain,
% 0.19/0.45 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)) | gt(level(x_139), fifo_length))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(level(x_139), fifo_length) | gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[123, 121])).
% 0.19/0.45 tff(125,plain,
% 0.19/0.45 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(fifo_length, level(x_139)) | (fifo_length = level(x_139)) | gt(level(x_139), fifo_length))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(126,plain,
% 0.19/0.45 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(level(x_139), fifo_length) | gt(fifo_length, level(x_139)) | (fifo_length = level(x_139))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.19/0.45 tff(127,plain,
% 0.19/0.45 (gt(fifo_length, level(x_139)) | (fifo_length = level(x_139))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[126, 120, 110])).
% 0.19/0.45 tff(128,plain,
% 0.19/0.45 (fifo_length = level(x_139)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[127, 107])).
% 0.19/0.45 tff(129,plain,
% 0.19/0.45 (level(x_139) = fifo_length),
% 0.19/0.45 inference(symmetry,[status(thm)],[128])).
% 0.19/0.45 tff(130,plain,
% 0.19/0.45 (int_level(x_139) = level(x_139)),
% 0.19/0.45 inference(symmetry,[status(thm)],[96])).
% 0.19/0.45 tff(131,assumption,(fifo_length = level(x_139)), introduced(assumption)).
% 0.19/0.45 tff(132,plain,
% 0.19/0.45 (fifo_length = int_level(x_139)),
% 0.19/0.45 inference(transitivity,[status(thm)],[131, 96])).
% 0.19/0.45 tff(133,plain,
% 0.19/0.45 (minus(fifo_length, n1) = minus(int_level(x_139), n1)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[132])).
% 0.19/0.45 tff(134,plain,
% 0.19/0.45 (minus(int_level(x_139), n1) = minus(fifo_length, n1)),
% 0.19/0.45 inference(symmetry,[status(thm)],[133])).
% 0.19/0.45 tff(135,assumption,(int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)), introduced(assumption)).
% 0.19/0.45 tff(136,plain,
% 0.19/0.45 (int_level(plus(x_139, n1)) = minus(fifo_length, n1)),
% 0.19/0.45 inference(transitivity,[status(thm)],[135, 134])).
% 0.19/0.45 tff(137,plain,
% 0.19/0.45 (gt(fifo_length, int_level(plus(x_139, n1))) <=> gt(fifo_length, minus(fifo_length, n1))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[136])).
% 0.19/0.45 tff(138,plain,
% 0.19/0.45 (gt(fifo_length, minus(fifo_length, n1)) <=> gt(fifo_length, int_level(plus(x_139, n1)))),
% 0.19/0.45 inference(symmetry,[status(thm)],[137])).
% 0.19/0.45 tff(139,plain,
% 0.19/0.45 (^[X_2: $i] : refl(((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))) <=> ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(140,plain,
% 0.19/0.45 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))) <=> ![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[139])).
% 0.19/0.45 tff(141,plain,
% 0.19/0.45 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))) <=> ![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(142,axiom,(![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_3')).
% 0.19/0.45 tff(143,plain,
% 0.19/0.45 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.19/0.45 tff(144,plain,(
% 0.19/0.45 ![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[143])).
% 0.19/0.45 tff(145,plain,
% 0.19/0.45 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[144, 140])).
% 0.19/0.45 tff(146,plain,
% 0.19/0.45 (((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | ((~gt(fifo_length, n0)) | gt(fifo_length, minus(fifo_length, n1)))) <=> ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | (~gt(fifo_length, n0)) | gt(fifo_length, minus(fifo_length, n1)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(147,plain,
% 0.19/0.45 ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | ((~gt(fifo_length, n0)) | gt(fifo_length, minus(fifo_length, n1)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(148,plain,
% 0.19/0.45 ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | (~gt(fifo_length, n0)) | gt(fifo_length, minus(fifo_length, n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.19/0.45 tff(149,plain,
% 0.19/0.45 (gt(fifo_length, minus(fifo_length, n1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[148, 145, 25])).
% 0.19/0.45 tff(150,plain,
% 0.19/0.45 (gt(fifo_length, int_level(plus(x_139, n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[149, 138])).
% 0.19/0.45 tff(151,assumption,(gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1)))), introduced(assumption)).
% 0.19/0.45 tff(152,plain,
% 0.19/0.45 (^[X_28: $i] : refl((~gt(X_28, X_28)) <=> (~gt(X_28, X_28)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(153,plain,
% 0.19/0.45 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[152])).
% 0.19/0.45 tff(154,plain,
% 0.19/0.45 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(155,axiom,(![X_28: $i] : (~gt(X_28, X_28))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_17')).
% 0.19/0.45 tff(156,plain,
% 0.19/0.45 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.19/0.45 tff(157,plain,(
% 0.19/0.45 ![X_28: $i] : (~gt(X_28, X_28))),
% 0.19/0.45 inference(skolemize,[status(sab)],[156])).
% 0.19/0.45 tff(158,plain,
% 0.19/0.45 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[157, 153])).
% 0.19/0.45 tff(159,plain,
% 0.19/0.45 ((~![X_28: $i] : (~gt(X_28, X_28))) | (~gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(160,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[159, 158, 151])).
% 0.19/0.45 tff(161,plain,(~gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(162,assumption,(gt(fifo_length, int_level(plus(x_139, n1)))), introduced(assumption)).
% 0.19/0.45 tff(163,plain,
% 0.19/0.45 ((~![X_t_32: $i] : (level(X_t_32) = int_level(X_t_32))) | (level(plus(x_139, n1)) = int_level(plus(x_139, n1)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(164,plain,
% 0.19/0.45 (level(plus(x_139, n1)) = int_level(plus(x_139, n1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[163, 94])).
% 0.19/0.45 tff(165,plain,
% 0.19/0.45 (int_level(plus(x_139, n1)) = level(plus(x_139, n1))),
% 0.19/0.45 inference(symmetry,[status(thm)],[164])).
% 0.19/0.45 tff(166,plain,
% 0.19/0.45 (gt(int_level(plus(x_139, n1)), fifo_length) <=> gt(level(plus(x_139, n1)), fifo_length)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[165])).
% 0.19/0.45 tff(167,plain,
% 0.19/0.45 (gt(level(plus(x_139, n1)), fifo_length) <=> gt(int_level(plus(x_139, n1)), fifo_length)),
% 0.19/0.45 inference(symmetry,[status(thm)],[166])).
% 0.19/0.45 tff(168,plain,
% 0.19/0.45 (gt(level(plus(x_139, n1)), fifo_length) <=> gt(level(plus(x_139, n1)), fifo_length)),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(169,axiom,(gt(level(plus(x_139, n1)), fifo_length)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.45 tff(170,plain,
% 0.19/0.45 (gt(level(plus(x_139, n1)), fifo_length)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.19/0.45 tff(171,plain,
% 0.19/0.45 (gt(int_level(plus(x_139, n1)), fifo_length)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[170, 167])).
% 0.19/0.45 tff(172,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(173,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(174,plain,
% 0.19/0.45 (^[Z_21: $i, Y_20: $i, X_19: $i] : rewrite((((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(175,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[174])).
% 0.19/0.45 tff(176,axiom,(![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_13')).
% 0.19/0.45 tff(177,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.19/0.45 tff(178,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[177, 173])).
% 0.19/0.45 tff(179,plain,(
% 0.19/0.45 ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[178])).
% 0.19/0.45 tff(180,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[179, 172])).
% 0.19/0.45 tff(181,plain,
% 0.19/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(int_level(plus(x_139, n1)), fifo_length)) | (~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(int_level(plus(x_139, n1)), fifo_length)) | (~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(182,plain,
% 0.19/0.45 (((~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))) | (~gt(int_level(plus(x_139, n1)), fifo_length))) <=> ((~gt(int_level(plus(x_139, n1)), fifo_length)) | (~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(183,plain,
% 0.19/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))) | (~gt(int_level(plus(x_139, n1)), fifo_length)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(int_level(plus(x_139, n1)), fifo_length)) | (~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1)))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[182])).
% 0.19/0.45 tff(184,plain,
% 0.19/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))) | (~gt(int_level(plus(x_139, n1)), fifo_length)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(int_level(plus(x_139, n1)), fifo_length)) | (~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))))),
% 0.19/0.45 inference(transitivity,[status(thm)],[183, 181])).
% 0.19/0.45 tff(185,plain,
% 0.19/0.45 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1))) | (~gt(int_level(plus(x_139, n1)), fifo_length)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(186,plain,
% 0.19/0.45 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(int_level(plus(x_139, n1)), fifo_length)) | (~gt(fifo_length, int_level(plus(x_139, n1)))) | gt(int_level(plus(x_139, n1)), int_level(plus(x_139, n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.19/0.45 tff(187,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[186, 180, 171, 162, 161])).
% 0.19/0.45 tff(188,plain,(~gt(fifo_length, int_level(plus(x_139, n1)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(189,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[188, 150])).
% 0.19/0.45 tff(190,plain,((~(int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))) | (~(fifo_length = level(x_139)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(191,plain,
% 0.19/0.45 (~(int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[190, 128])).
% 0.19/0.45 tff(192,plain,
% 0.19/0.45 (int_level(x_139) = fifo_length),
% 0.19/0.45 inference(transitivity,[status(thm)],[130, 129])).
% 0.19/0.45 tff(193,plain,
% 0.19/0.45 (gt(int_level(x_139), n0) <=> gt(fifo_length, n0)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[192])).
% 0.19/0.45 tff(194,plain,
% 0.19/0.45 (gt(fifo_length, n0) <=> gt(int_level(x_139), n0)),
% 0.19/0.45 inference(symmetry,[status(thm)],[193])).
% 0.19/0.45 tff(195,plain,
% 0.19/0.45 (gt(int_level(x_139), n0)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[25, 194])).
% 0.19/0.45 tff(196,assumption,(~(int_level(plus(x_139, n1)) = int_level(x_139))), introduced(assumption)).
% 0.19/0.45 tff(197,assumption,(~p_Rd(x_139)), introduced(assumption)).
% 0.19/0.45 tff(198,assumption,(int_level(plus(x_139, n1)) = n0), introduced(assumption)).
% 0.19/0.45 tff(199,plain,
% 0.19/0.45 (gt(fifo_length, int_level(plus(x_139, n1))) <=> gt(fifo_length, n0)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[198])).
% 0.19/0.45 tff(200,plain,
% 0.19/0.45 (gt(fifo_length, n0) <=> gt(fifo_length, int_level(plus(x_139, n1)))),
% 0.19/0.45 inference(symmetry,[status(thm)],[199])).
% 0.19/0.45 tff(201,plain,
% 0.19/0.45 (gt(fifo_length, int_level(plus(x_139, n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[25, 200])).
% 0.19/0.45 tff(202,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[188, 201])).
% 0.19/0.45 tff(203,plain,(~(int_level(plus(x_139, n1)) = n0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(204,plain,
% 0.19/0.45 (^[X_t_37: $i] : refl(((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0)) <=> ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(205,plain,
% 0.19/0.45 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[204])).
% 0.19/0.45 tff(206,plain,
% 0.19/0.45 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(207,axiom,(![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_26')).
% 0.19/0.46 tff(208,plain,
% 0.19/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.19/0.46 tff(209,plain,(
% 0.19/0.46 ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.46 inference(skolemize,[status(sab)],[208])).
% 0.19/0.46 tff(210,plain,
% 0.19/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[209, 205])).
% 0.19/0.46 tff(211,plain,
% 0.19/0.46 (((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(x_139)) | (int_level(plus(x_139, n1)) = n0))) <=> ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(x_139)) | (int_level(plus(x_139, n1)) = n0))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(212,plain,
% 0.19/0.46 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(x_139)) | (int_level(plus(x_139, n1)) = n0))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(213,plain,
% 0.19/0.46 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (int_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(x_139)) | (int_level(plus(x_139, n1)) = n0)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.19/0.46 tff(214,plain,
% 0.19/0.46 ((~p_Reset(x_139)) | (int_level(plus(x_139, n1)) = n0)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[213, 210])).
% 0.19/0.46 tff(215,plain,
% 0.19/0.46 (~p_Reset(x_139)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[214, 203])).
% 0.19/0.46 tff(216,plain,
% 0.19/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(217,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[216])).
% 0.19/0.46 tff(218,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(219,plain,
% 0.19/0.46 (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(220,plain,
% 0.19/0.46 (![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[219])).
% 0.19/0.46 tff(221,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_82')).
% 0.19/0.46 tff(222,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.19/0.46 tff(223,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[222, 218])).
% 0.19/0.46 tff(224,plain,(
% 0.19/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[223])).
% 0.19/0.46 tff(225,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[224, 217])).
% 0.19/0.46 tff(226,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(227,plain,
% 0.19/0.46 ((p_Reset(x_139) | p_Rd(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139))) <=> (p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(228,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[227])).
% 0.19/0.46 tff(229,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[228, 226])).
% 0.19/0.46 tff(230,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(231,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.19/0.46 tff(232,plain,
% 0.19/0.46 (p_Reset(x_139) | p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[231, 225])).
% 0.19/0.46 tff(233,plain,
% 0.19/0.46 (p_Wr(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[232, 215])).
% 0.19/0.46 tff(234,plain,
% 0.19/0.46 (p_Wr(x_139)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[233, 197, 196])).
% 0.19/0.46 tff(235,plain,
% 0.19/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(236,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[235])).
% 0.19/0.46 tff(237,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(238,plain,
% 0.19/0.46 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(239,plain,
% 0.19/0.46 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[238])).
% 0.19/0.46 tff(240,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_44')).
% 0.19/0.46 tff(241,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.19/0.46 tff(242,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[241, 237])).
% 0.19/0.46 tff(243,plain,(
% 0.19/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[242])).
% 0.19/0.46 tff(244,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[243, 236])).
% 0.19/0.46 tff(245,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(246,plain,
% 0.19/0.46 ((p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139))) <=> (p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(247,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[246])).
% 0.19/0.46 tff(248,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[247, 245])).
% 0.19/0.46 tff(249,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(250,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.19/0.46 tff(251,plain,
% 0.19/0.46 (p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[250, 244])).
% 0.19/0.46 tff(252,plain,
% 0.19/0.46 (p_Rd(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[251, 215])).
% 0.19/0.46 tff(253,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[252, 234, 197, 106, 196])).
% 0.19/0.46 tff(254,plain,(p_Rd(x_139) | gt(fifo_length, int_level(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46 tff(255,plain,
% 0.19/0.46 (p_Rd(x_139)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[254, 196, 106])).
% 0.19/0.46 tff(256,plain,
% 0.19/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(257,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[256])).
% 0.19/0.46 tff(258,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(259,plain,
% 0.19/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(260,plain,
% 0.19/0.47 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[259])).
% 0.19/0.47 tff(261,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_53')).
% 0.19/0.47 tff(262,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.19/0.47 tff(263,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[262, 258])).
% 0.19/0.47 tff(264,plain,(
% 0.19/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[263])).
% 0.19/0.47 tff(265,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[264, 257])).
% 0.19/0.47 tff(266,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(267,plain,
% 0.19/0.47 ((p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~gt(int_level(x_139), n0))) <=> (p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(268,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~gt(int_level(x_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[267])).
% 0.19/0.47 tff(269,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~gt(int_level(x_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[268, 266])).
% 0.19/0.47 tff(270,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~gt(int_level(x_139), n0)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(271,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.19/0.47 tff(272,plain,
% 0.19/0.47 (p_Reset(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[271, 265])).
% 0.19/0.47 tff(273,plain,
% 0.19/0.47 ((int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (~p_Wr(x_139))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[272, 215])).
% 0.19/0.47 tff(274,plain,
% 0.19/0.47 (~p_Wr(x_139)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[273, 255, 196, 195])).
% 0.19/0.47 tff(275,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(276,plain,
% 0.19/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(277,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[276])).
% 0.19/0.47 tff(278,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(279,plain,
% 0.19/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(280,plain,
% 0.19/0.47 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[279])).
% 0.19/0.47 tff(281,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_71')).
% 0.19/0.47 tff(282,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.19/0.47 tff(283,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[282, 278])).
% 0.19/0.47 tff(284,plain,(
% 0.19/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[283])).
% 0.19/0.47 tff(285,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[284, 277])).
% 0.19/0.47 tff(286,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[285, 275])).
% 0.19/0.47 tff(287,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(288,plain,
% 0.19/0.47 ((p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))) <=> (p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(289,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[288])).
% 0.19/0.47 tff(290,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[289, 287])).
% 0.19/0.47 tff(291,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(292,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = minus(int_level(X_t_42), n1)))) | p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.19/0.47 tff(293,plain,
% 0.19/0.47 (p_Reset(x_139) | p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[292, 286])).
% 0.19/0.47 tff(294,plain,
% 0.19/0.47 (p_Wr(x_139) | (~p_Rd(x_139)) | (~gt(int_level(x_139), n0)) | (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[293, 215])).
% 0.19/0.47 tff(295,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[294, 274, 255, 195, 191])).
% 0.19/0.47 tff(296,plain,((int_level(plus(x_139, n1)) = int_level(x_139)) | gt(fifo_length, int_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(297,plain,
% 0.19/0.47 (int_level(plus(x_139, n1)) = int_level(x_139)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[296, 106])).
% 0.19/0.47 tff(298,plain,
% 0.19/0.47 (level(plus(x_139, n1)) = plus(minus(fifo_length, n1), n1)),
% 0.19/0.47 inference(transitivity,[status(thm)],[164, 297, 130, 129, 84, 8])).
% 0.19/0.47 tff(299,plain,
% 0.19/0.47 (gt(level(plus(x_139, n1)), fifo_length) <=> gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[298, 85])).
% 0.19/0.47 tff(300,plain,
% 0.19/0.48 (gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1)) <=> gt(level(plus(x_139, n1)), fifo_length)),
% 0.19/0.48 inference(symmetry,[status(thm)],[299])).
% 0.19/0.48 tff(301,plain,
% 0.19/0.48 ((~gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))) <=> (~gt(level(plus(x_139, n1)), fifo_length))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[300])).
% 0.19/0.48 tff(302,plain,
% 0.19/0.48 (plus(minus(fifo_length, n1), n1) = int_level(x_139)),
% 0.19/0.48 inference(transitivity,[status(thm)],[7, 83, 128, 96])).
% 0.19/0.48 tff(303,plain,
% 0.19/0.48 (gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1)) <=> gt(fifo_length, int_level(x_139))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[100, 302])).
% 0.19/0.48 tff(304,plain,
% 0.19/0.48 (gt(fifo_length, int_level(x_139)) <=> gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[303])).
% 0.19/0.48 tff(305,plain,
% 0.19/0.48 ((~gt(fifo_length, int_level(x_139))) <=> (~gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1)))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[304])).
% 0.19/0.48 tff(306,plain,
% 0.19/0.48 (~gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[106, 305])).
% 0.19/0.48 tff(307,plain,
% 0.19/0.48 (~gt(level(plus(x_139, n1)), fifo_length)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[306, 301])).
% 0.19/0.48 tff(308,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[170, 307])).
% 0.19/0.48 tff(309,plain,(gt(fifo_length, int_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(310,plain,
% 0.19/0.48 (gt(plus(minus(fifo_length, n1), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[309, 102])).
% 0.19/0.48 tff(311,plain,
% 0.19/0.48 (gt(level(x_139), fifo_length)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[310, 99])).
% 0.19/0.48 tff(312,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[110, 311])).
% 0.19/0.48 tff(313,plain,(~(plus(minus(fifo_length, n1), n1) = int_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(314,plain,
% 0.19/0.48 (gt(int_level(x_139), plus(minus(fifo_length, n1), n1)) <=> gt(level(x_139), fifo_length)),
% 0.19/0.48 inference(monotonicity,[status(thm)],[130, 100])).
% 0.19/0.48 tff(315,plain,
% 0.19/0.48 (gt(level(x_139), fifo_length) <=> gt(int_level(x_139), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[314])).
% 0.19/0.48 tff(316,plain,
% 0.19/0.48 ((~gt(level(x_139), fifo_length)) <=> (~gt(int_level(x_139), plus(minus(fifo_length, n1), n1)))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[315])).
% 0.19/0.48 tff(317,plain,
% 0.19/0.48 (~gt(int_level(x_139), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[110, 316])).
% 0.19/0.48 tff(318,plain,
% 0.19/0.48 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(int_level(x_139), plus(minus(fifo_length, n1), n1)) | (~gt(int_level(x_139), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = int_level(x_139)))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | gt(int_level(x_139), plus(minus(fifo_length, n1), n1)) | (~gt(int_level(x_139), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = int_level(x_139)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(319,plain,
% 0.19/0.48 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(int_level(x_139), plus(minus(fifo_length, n1), n1)) | (~gt(int_level(x_139), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = int_level(x_139)))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(320,plain,
% 0.19/0.48 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | gt(int_level(x_139), plus(minus(fifo_length, n1), n1)) | (~gt(int_level(x_139), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = int_level(x_139))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.19/0.48 tff(321,plain,
% 0.19/0.48 (gt(int_level(x_139), plus(minus(fifo_length, n1), n1)) | (~gt(int_level(x_139), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = int_level(x_139))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[320, 35])).
% 0.19/0.48 tff(322,plain,
% 0.19/0.48 ((~gt(int_level(x_139), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = int_level(x_139))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[321, 317])).
% 0.19/0.48 tff(323,plain,
% 0.19/0.48 (~gt(int_level(x_139), minus(fifo_length, n1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[322, 313])).
% 0.19/0.48 tff(324,assumption,(int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)), introduced(assumption)).
% 0.19/0.48 tff(325,plain,
% 0.19/0.48 (plus(int_level(x_139), n1) = int_level(plus(x_139, n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[324])).
% 0.19/0.48 tff(326,plain,
% 0.19/0.48 (plus(int_level(x_139), n1) = level(plus(x_139, n1))),
% 0.19/0.48 inference(transitivity,[status(thm)],[325, 165])).
% 0.19/0.48 tff(327,plain,
% 0.19/0.48 (gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1)) <=> gt(level(plus(x_139, n1)), fifo_length)),
% 0.19/0.48 inference(monotonicity,[status(thm)],[326, 100])).
% 0.19/0.48 tff(328,plain,
% 0.19/0.48 (gt(level(plus(x_139, n1)), fifo_length) <=> gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[327])).
% 0.19/0.48 tff(329,plain,
% 0.19/0.48 (gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[170, 328])).
% 0.19/0.48 tff(330,assumption,(~gt(int_level(x_139), minus(fifo_length, n1))), introduced(assumption)).
% 0.19/0.48 tff(331,plain,
% 0.19/0.48 (^[X_11: $i, Y_12: $i] : refl((gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))) <=> (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(332,plain,
% 0.19/0.48 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))) <=> ![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[331])).
% 0.19/0.48 tff(333,plain,
% 0.19/0.48 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))) <=> ![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(334,axiom,(![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_9')).
% 0.19/0.48 tff(335,plain,
% 0.19/0.48 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[334, 333])).
% 0.19/0.48 tff(336,plain,(
% 0.19/0.48 ![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.19/0.48 inference(skolemize,[status(sab)],[335])).
% 0.19/0.48 tff(337,plain,
% 0.19/0.48 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[336, 332])).
% 0.19/0.48 tff(338,plain,
% 0.19/0.48 (((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (gt(int_level(x_139), minus(fifo_length, n1)) | (~gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1))))) <=> ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | gt(int_level(x_139), minus(fifo_length, n1)) | (~gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(339,plain,
% 0.19/0.48 ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (gt(int_level(x_139), minus(fifo_length, n1)) | (~gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1))))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(340,plain,
% 0.19/0.48 ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | gt(int_level(x_139), minus(fifo_length, n1)) | (~gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.19/0.48 tff(341,plain,
% 0.19/0.48 (~gt(plus(int_level(x_139), n1), plus(minus(fifo_length, n1), n1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[340, 337, 330])).
% 0.19/0.48 tff(342,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[341, 329])).
% 0.19/0.48 tff(343,plain,((~(int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))) | gt(int_level(x_139), minus(fifo_length, n1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(344,plain,
% 0.19/0.48 (~(int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[343, 323])).
% 0.19/0.48 tff(345,assumption,(gt(fifo_length, int_level(x_139))), introduced(assumption)).
% 0.19/0.48 tff(346,assumption,(int_level(plus(x_139, n1)) = int_level(x_139)), introduced(assumption)).
% 0.19/0.48 tff(347,plain,
% 0.19/0.48 (gt(fifo_length, int_level(plus(x_139, n1))) <=> gt(fifo_length, int_level(x_139))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[346])).
% 0.19/0.48 tff(348,plain,
% 0.19/0.48 (gt(fifo_length, int_level(x_139)) <=> gt(fifo_length, int_level(plus(x_139, n1)))),
% 0.19/0.48 inference(symmetry,[status(thm)],[347])).
% 0.19/0.48 tff(349,plain,
% 0.19/0.48 (gt(fifo_length, int_level(plus(x_139, n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[345, 348])).
% 0.19/0.48 tff(350,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[188, 349])).
% 0.19/0.48 tff(351,plain,((~(int_level(plus(x_139, n1)) = int_level(x_139))) | (~gt(fifo_length, int_level(x_139)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(352,plain,
% 0.19/0.48 (~(int_level(plus(x_139, n1)) = int_level(x_139))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[351, 345])).
% 0.19/0.48 tff(353,assumption,(~p_Reset(x_139)), introduced(assumption)).
% 0.19/0.48 tff(354,assumption,(~(int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))), introduced(assumption)).
% 0.19/0.48 tff(355,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(356,plain,
% 0.19/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(357,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[356])).
% 0.19/0.48 tff(358,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(359,plain,
% 0.19/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(360,plain,
% 0.19/0.48 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[359])).
% 0.19/0.48 tff(361,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_35')).
% 0.19/0.48 tff(362,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.19/0.48 tff(363,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[362, 358])).
% 0.19/0.48 tff(364,plain,(
% 0.19/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(skolemize,[status(sab)],[363])).
% 0.19/0.48 tff(365,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[364, 357])).
% 0.19/0.48 tff(366,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[365, 355])).
% 0.19/0.48 tff(367,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(368,plain,
% 0.19/0.48 ((p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))) <=> (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(369,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139)))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[368])).
% 0.19/0.48 tff(370,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[369, 367])).
% 0.19/0.48 tff(371,plain,
% 0.19/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(372,plain,
% 0.19/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.19/0.48 tff(373,plain,
% 0.19/0.48 (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[372, 366])).
% 0.19/0.48 tff(374,plain,
% 0.19/0.48 (~p_Wr(x_139)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[373, 353, 354, 197, 345])).
% 0.19/0.48 tff(375,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[232, 374, 353, 352, 197])).
% 0.19/0.48 tff(376,plain,(p_Reset(x_139) | p_Rd(x_139) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(377,plain,
% 0.19/0.48 (p_Rd(x_139) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | (~gt(fifo_length, int_level(x_139)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[376, 215])).
% 0.19/0.48 tff(378,plain,
% 0.19/0.48 (p_Rd(x_139)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[377, 344, 309])).
% 0.19/0.48 tff(379,assumption,(~p_Wr(x_139)), introduced(assumption)).
% 0.19/0.48 tff(380,plain,
% 0.19/0.48 (~(int_level(plus(x_139, n1)) = int_level(x_139))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[351, 309])).
% 0.19/0.48 tff(381,plain,
% 0.19/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0)))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(382,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[381])).
% 0.19/0.48 tff(383,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(384,plain,
% 0.19/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(385,plain,
% 0.19/0.48 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[384])).
% 0.19/0.48 tff(386,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_78')).
% 0.19/0.48 tff(387,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[386, 385])).
% 0.19/0.48 tff(388,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[387, 383])).
% 0.19/0.48 tff(389,plain,(
% 0.19/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(skolemize,[status(sab)],[388])).
% 0.19/0.48 tff(390,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[389, 382])).
% 0.19/0.48 tff(391,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(392,plain,
% 0.19/0.48 ((p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | gt(int_level(x_139), n0)) <=> (p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(393,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | gt(int_level(x_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0)))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[392])).
% 0.19/0.49 tff(394,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | gt(int_level(x_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0))),
% 0.19/0.49 inference(transitivity,[status(thm)],[393, 391])).
% 0.19/0.49 tff(395,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | gt(int_level(x_139), n0))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(396,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0)),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[395, 394])).
% 0.19/0.49 tff(397,plain,
% 0.19/0.49 (p_Reset(x_139) | p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[396, 390])).
% 0.19/0.49 tff(398,plain,
% 0.19/0.49 (p_Wr(x_139) | (int_level(plus(x_139, n1)) = int_level(x_139)) | (~p_Rd(x_139)) | gt(int_level(x_139), n0)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[397, 215])).
% 0.19/0.49 tff(399,plain,
% 0.19/0.49 (gt(int_level(x_139), n0)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[398, 379, 380, 378])).
% 0.19/0.49 tff(400,plain,
% 0.19/0.49 (int_level(plus(x_139, n1)) = minus(int_level(x_139), n1)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[294, 399, 378, 379])).
% 0.19/0.49 tff(401,plain,
% 0.19/0.49 (gt(int_level(x_139), int_level(plus(x_139, n1))) <=> gt(int_level(x_139), minus(int_level(x_139), n1))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[400])).
% 0.19/0.49 tff(402,plain,
% 0.19/0.49 (gt(int_level(x_139), minus(int_level(x_139), n1)) <=> gt(int_level(x_139), int_level(plus(x_139, n1)))),
% 0.19/0.49 inference(symmetry,[status(thm)],[401])).
% 0.19/0.49 tff(403,plain,
% 0.19/0.49 (((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | ((~gt(int_level(x_139), n0)) | gt(int_level(x_139), minus(int_level(x_139), n1)))) <=> ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | (~gt(int_level(x_139), n0)) | gt(int_level(x_139), minus(int_level(x_139), n1)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(404,plain,
% 0.19/0.49 ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | ((~gt(int_level(x_139), n0)) | gt(int_level(x_139), minus(int_level(x_139), n1)))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(405,plain,
% 0.19/0.49 ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | (~gt(int_level(x_139), n0)) | gt(int_level(x_139), minus(int_level(x_139), n1))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[404, 403])).
% 0.19/0.49 tff(406,plain,
% 0.19/0.49 (gt(int_level(x_139), minus(int_level(x_139), n1))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[405, 145, 399])).
% 0.19/0.49 tff(407,plain,
% 0.19/0.49 (gt(int_level(x_139), int_level(plus(x_139, n1)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[406, 402])).
% 0.19/0.49 tff(408,plain,
% 0.19/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, int_level(x_139))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(int_level(x_139), int_level(plus(x_139, n1)))))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(fifo_length, int_level(x_139))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(int_level(x_139), int_level(plus(x_139, n1)))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(409,plain,
% 0.19/0.49 (((~gt(int_level(x_139), int_level(plus(x_139, n1)))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(fifo_length, int_level(x_139)))) <=> ((~gt(fifo_length, int_level(x_139))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(int_level(x_139), int_level(plus(x_139, n1)))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(410,plain,
% 0.19/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(int_level(x_139), int_level(plus(x_139, n1)))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(fifo_length, int_level(x_139))))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, int_level(x_139))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(int_level(x_139), int_level(plus(x_139, n1))))))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[409])).
% 0.19/0.49 tff(411,plain,
% 0.19/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(int_level(x_139), int_level(plus(x_139, n1)))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(fifo_length, int_level(x_139))))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(fifo_length, int_level(x_139))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(int_level(x_139), int_level(plus(x_139, n1)))))),
% 0.19/0.49 inference(transitivity,[status(thm)],[410, 408])).
% 0.19/0.49 tff(412,plain,
% 0.19/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(int_level(x_139), int_level(plus(x_139, n1)))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(fifo_length, int_level(x_139))))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(413,plain,
% 0.19/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(fifo_length, int_level(x_139))) | gt(fifo_length, int_level(plus(x_139, n1))) | (~gt(int_level(x_139), int_level(plus(x_139, n1))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.19/0.49 tff(414,plain,
% 0.19/0.49 (~gt(int_level(x_139), int_level(plus(x_139, n1)))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[413, 180, 309, 188])).
% 0.19/0.49 tff(415,plain,
% 0.19/0.49 ($false),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[414, 407])).
% 0.19/0.49 tff(416,plain,(p_Wr(x_139)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.49 tff(417,plain,
% 0.19/0.49 (~gt(int_level(x_139), n0)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[273, 416, 380, 378])).
% 0.19/0.49 tff(418,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(419,plain,
% 0.19/0.49 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(420,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[419])).
% 0.19/0.49 tff(421,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(422,plain,
% 0.19/0.49 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(423,plain,
% 0.19/0.49 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[422])).
% 0.19/0.49 tff(424,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_59')).
% 0.19/0.49 tff(425,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.19/0.49 tff(426,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[425, 421])).
% 0.19/0.49 tff(427,plain,(
% 0.19/0.49 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(skolemize,[status(sab)],[426])).
% 0.19/0.49 tff(428,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[427, 420])).
% 0.19/0.49 tff(429,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[428, 418])).
% 0.19/0.49 tff(430,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(431,plain,
% 0.19/0.49 ((p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | gt(int_level(x_139), n0)) <=> (p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(432,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | gt(int_level(x_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[431])).
% 0.19/0.49 tff(433,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | gt(int_level(x_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)))),
% 0.19/0.49 inference(transitivity,[status(thm)],[432, 430])).
% 0.19/0.49 tff(434,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1)) | gt(int_level(x_139), n0))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(435,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (int_level(plus(X_t_42, n1)) = plus(int_level(X_t_42), n1)) | gt(int_level(X_t_42), n0))) | p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[434, 433])).
% 0.19/0.49 tff(436,plain,
% 0.19/0.49 (p_Reset(x_139) | (~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[435, 429])).
% 0.19/0.49 tff(437,plain,
% 0.19/0.49 ((~p_Rd(x_139)) | gt(int_level(x_139), n0) | (~p_Wr(x_139)) | (int_level(plus(x_139, n1)) = plus(int_level(x_139), n1))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[436, 215])).
% 0.19/0.49 tff(438,plain,
% 0.19/0.49 ($false),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[437, 417, 416, 378, 344])).
% 0.19/0.49 % SZS output end Proof
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------