%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV029-2 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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
% 0.09/0.11 % Problem : HWV029-2 : TPTP v9.0.0. Released v2.5.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n001.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 17:24:19 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(p_LES_EQU__type, type, (
% 0.19/0.43 p_LES_EQU_: ( $i * $i ) > $o)).
% 0.19/0.43 tff(n0_type, type, (
% 0.19/0.43 n0: $i)).
% 0.19/0.43 tff(fwork_DOTfifo_DOTrtl_DOTfifo__length__type, type, (
% 0.19/0.43 fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i)).
% 0.19/0.43 tff(fwork_DOTfifo_DOTrtl_DOTint__level__type, type, (
% 0.19/0.43 fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i)).
% 0.19/0.43 tff(t_206_type, type, (
% 0.19/0.43 t_206: $i)).
% 0.19/0.43 tff(p__pred__type, type, (
% 0.19/0.43 p__pred_: $i > $o)).
% 0.19/0.43 tff(fwork_DOTfifo_DOTrtl_DOTrd__type, type, (
% 0.19/0.43 fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i)).
% 0.19/0.43 tff(fwork_DOTfifo_DOTrtl_DOTlevel__type, type, (
% 0.19/0.43 fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i)).
% 0.19/0.43 tff(f_ADD__type, type, (
% 0.19/0.43 f_ADD_: ( $i * $i ) > $i)).
% 0.19/0.43 tff(n1_type, type, (
% 0.19/0.43 n1: $i)).
% 0.19/0.43 tff(fwork_DOTfifo_DOTrtl_DOTwr__type, type, (
% 0.19/0.43 fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i)).
% 0.19/0.43 tff(fwork_DOTfifo_DOTrtl_DOTreset__type, type, (
% 0.19/0.43 fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i)).
% 0.19/0.43 tff(f_SUB__type, type, (
% 0.19/0.43 f_SUB_: ( $i * $i ) > $i)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 (^[T_0: $i] : refl((fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0)) <=> (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0)))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0)) <=> ![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0)) <=> ![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(4,axiom,(![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_5')).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.43 tff(6,plain,(
% 0.19/0.43 ![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.43 inference(skolemize,[status(sab)],[5])).
% 0.19/0.43 tff(7,plain,
% 0.19/0.43 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 ((~![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))) | (fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(9,plain,
% 0.19/0.43 (fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.43 tff(10,plain,
% 0.19/0.43 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1))),
% 0.19/0.43 inference(symmetry,[status(thm)],[9])).
% 0.19/0.43 tff(11,assumption,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))), introduced(assumption)).
% 0.19/0.43 tff(12,assumption,(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)), introduced(assumption)).
% 0.19/0.43 tff(13,plain,
% 0.19/0.43 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.43 inference(symmetry,[status(thm)],[12])).
% 0.19/0.43 tff(14,plain,
% 0.19/0.43 ((~![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))) | (fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(15,plain,
% 0.19/0.43 (fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[14, 7])).
% 0.19/0.43 tff(16,plain,
% 0.19/0.43 (fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1))),
% 0.19/0.43 inference(transitivity,[status(thm)],[15, 13, 10])).
% 0.19/0.43 tff(17,plain,
% 0.19/0.43 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[16])).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.43 inference(symmetry,[status(thm)],[17])).
% 0.19/0.43 tff(19,plain,
% 0.19/0.43 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[18])).
% 0.19/0.43 tff(20,plain,
% 0.19/0.43 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(21,axiom,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.43 tff(22,plain,
% 0.19/0.43 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[22, 19])).
% 0.19/0.43 tff(24,plain,
% 0.19/0.43 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(25,axiom,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.19/0.43 tff(27,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[26, 23])).
% 0.19/0.43 tff(28,plain,(~(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43 tff(29,assumption,(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0), introduced(assumption)).
% 0.19/0.43 tff(30,plain,
% 0.19/0.43 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) <=> p_LES_EQU_(n0, n0)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[29, 29])).
% 0.19/0.43 tff(31,plain,
% 0.19/0.43 (p_LES_EQU_(n0, n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))),
% 0.19/0.43 inference(symmetry,[status(thm)],[30])).
% 0.19/0.43 tff(32,plain,
% 0.19/0.43 ((~p_LES_EQU_(n0, n0)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[31])).
% 0.19/0.43 tff(33,plain,
% 0.19/0.43 (n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.43 inference(symmetry,[status(thm)],[29])).
% 0.19/0.43 tff(34,plain,
% 0.19/0.43 (n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1))),
% 0.19/0.43 inference(transitivity,[status(thm)],[33, 10])).
% 0.19/0.43 tff(35,plain,
% 0.19/0.43 (p_LES_EQU_(n0, n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[34])).
% 0.19/0.43 tff(36,plain,
% 0.19/0.43 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0) <=> p_LES_EQU_(n0, n0)),
% 0.19/0.43 inference(symmetry,[status(thm)],[35])).
% 0.19/0.43 tff(37,plain,
% 0.19/0.43 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0)) <=> (~p_LES_EQU_(n0, n0))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[36])).
% 0.19/0.43 tff(38,plain,
% 0.19/0.43 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(39,axiom,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.19/0.43 tff(40,plain,
% 0.19/0.43 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.43 tff(41,plain,
% 0.19/0.43 (^[X_98: $i, Y_99: $i, Z_100: $i] : refl((p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98))) <=> (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(42,plain,
% 0.19/0.43 (![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98))) <=> ![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[41])).
% 0.19/0.43 tff(43,plain,
% 0.19/0.43 (![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98))) <=> ![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(44,plain,
% 0.19/0.43 (^[X_98: $i, Y_99: $i, Z_100: $i] : rewrite((((~p_LES_EQU_(Z_100, X_98)) | p_LES_EQU_(Y_99, X_98)) | p_LES_EQU_(Z_100, Y_99)) <=> (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(45,plain,
% 0.19/0.43 (![X_98: $i, Y_99: $i, Z_100: $i] : (((~p_LES_EQU_(Z_100, X_98)) | p_LES_EQU_(Y_99, X_98)) | p_LES_EQU_(Z_100, Y_99)) <=> ![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.43 tff(46,axiom,(![X_98: $i, Y_99: $i, Z_100: $i] : (((~p_LES_EQU_(Z_100, X_98)) | p_LES_EQU_(Y_99, X_98)) | p_LES_EQU_(Z_100, Y_99))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_71')).
% 0.19/0.43 tff(47,plain,
% 0.19/0.43 (![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.19/0.43 tff(48,plain,
% 0.19/0.43 (![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.19/0.43 tff(49,plain,(
% 0.19/0.43 ![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[48])).
% 0.19/0.43 tff(50,plain,
% 0.19/0.43 (![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[49, 42])).
% 0.19/0.43 tff(51,plain,
% 0.19/0.43 (((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0)))) <=> ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(52,plain,
% 0.19/0.43 ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(53,plain,
% 0.19/0.43 ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.19/0.44 tff(54,plain,
% 0.19/0.44 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), n0)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[53, 50, 22, 40])).
% 0.19/0.44 tff(55,plain,
% 0.19/0.44 (~p_LES_EQU_(n0, n0)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[54, 37])).
% 0.19/0.44 tff(56,plain,
% 0.19/0.44 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[55, 32])).
% 0.19/0.44 tff(57,plain,
% 0.19/0.44 (^[X_106: $i] : refl(p_LES_EQU_(X_106, X_106) <=> p_LES_EQU_(X_106, X_106))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(58,plain,
% 0.19/0.44 (![X_106: $i] : p_LES_EQU_(X_106, X_106) <=> ![X_106: $i] : p_LES_EQU_(X_106, X_106)),
% 0.19/0.44 inference(quant_intro,[status(thm)],[57])).
% 0.19/0.44 tff(59,plain,
% 0.19/0.44 (![X_106: $i] : p_LES_EQU_(X_106, X_106) <=> ![X_106: $i] : p_LES_EQU_(X_106, X_106)),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(60,axiom,(![X_106: $i] : p_LES_EQU_(X_106, X_106)), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_75')).
% 0.19/0.44 tff(61,plain,
% 0.19/0.44 (![X_106: $i] : p_LES_EQU_(X_106, X_106)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.44 tff(62,plain,(
% 0.19/0.44 ![X_106: $i] : p_LES_EQU_(X_106, X_106)),
% 0.19/0.44 inference(skolemize,[status(sab)],[61])).
% 0.19/0.44 tff(63,plain,
% 0.19/0.44 (![X_106: $i] : p_LES_EQU_(X_106, X_106)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.19/0.44 tff(64,plain,
% 0.19/0.44 ((~![X_106: $i] : p_LES_EQU_(X_106, X_106)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(65,plain,
% 0.19/0.44 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.19/0.44 tff(66,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[65, 56])).
% 0.19/0.44 tff(67,plain,(~(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(68,plain,
% 0.19/0.44 (^[T_5: $i] : refl(((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0)) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(69,plain,
% 0.19/0.44 (![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0)) <=> ![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[68])).
% 0.19/0.44 tff(70,plain,
% 0.19/0.44 (![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0)) <=> ![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(71,plain,
% 0.19/0.44 (^[T_5: $i] : rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(72,plain,
% 0.19/0.44 (![T_5: $i] : ((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)))) <=> ![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[71])).
% 0.19/0.44 tff(73,axiom,(![T_5: $i] : ((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_12')).
% 0.19/0.44 tff(74,plain,
% 0.19/0.44 (![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.19/0.44 tff(75,plain,
% 0.19/0.44 (![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.19/0.44 tff(76,plain,(
% 0.19/0.44 ![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(skolemize,[status(sab)],[75])).
% 0.19/0.44 tff(77,plain,
% 0.19/0.44 (![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.19/0.44 tff(78,plain,
% 0.19/0.44 (((~![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))) | ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0))) <=> ((~![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(79,plain,
% 0.19/0.44 ((~![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))) | ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(80,plain,
% 0.19/0.44 ((~![T_5: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_5, n1)) = n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.19/0.44 tff(81,plain,
% 0.19/0.44 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = n0)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[80, 77])).
% 0.19/0.44 tff(82,plain,
% 0.19/0.44 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[81, 67])).
% 0.19/0.44 tff(83,plain,
% 0.19/0.44 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(84,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[83])).
% 0.19/0.44 tff(85,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(86,plain,
% 0.19/0.44 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> ((p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))))), rewrite(((p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ((p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite(((p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(87,plain,
% 0.19/0.44 (![T_13: $i] : ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[86])).
% 0.19/0.44 tff(88,axiom,(![T_13: $i] : ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_51')).
% 0.19/0.44 tff(89,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.19/0.44 tff(90,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[89, 85])).
% 0.19/0.44 tff(91,plain,(
% 0.19/0.44 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(skolemize,[status(sab)],[90])).
% 0.19/0.44 tff(92,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[91, 84])).
% 0.19/0.44 tff(93,plain,
% 0.19/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(94,plain,
% 0.19/0.44 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(95,plain,
% 0.19/0.44 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.19/0.44 tff(96,plain,
% 0.19/0.44 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[95, 92])).
% 0.19/0.44 tff(97,plain,
% 0.19/0.44 (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[96, 11, 82, 28])).
% 0.19/0.44 tff(98,plain,
% 0.19/0.44 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(99,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[98])).
% 0.19/0.44 tff(100,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(101,plain,
% 0.19/0.44 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) <=> ((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> (((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))))), rewrite((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))))), rewrite(((p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(102,plain,
% 0.19/0.44 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[101])).
% 0.19/0.44 tff(103,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_23')).
% 0.19/0.44 tff(104,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.19/0.44 tff(105,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.19/0.44 tff(106,plain,(
% 0.19/0.44 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(skolemize,[status(sab)],[105])).
% 0.19/0.44 tff(107,plain,
% 0.19/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[106, 99])).
% 0.19/0.44 tff(108,plain,
% 0.19/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(109,plain,
% 0.19/0.44 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(110,plain,
% 0.19/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[109])).
% 0.19/0.44 tff(111,plain,
% 0.19/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.19/0.44 inference(transitivity,[status(thm)],[110, 108])).
% 0.19/0.44 tff(112,plain,
% 0.19/0.44 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(113,plain,
% 0.19/0.45 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.19/0.45 tff(114,plain,
% 0.19/0.45 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[113, 107])).
% 0.19/0.45 tff(115,plain,
% 0.19/0.45 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[114, 11, 28, 82, 97])).
% 0.19/0.45 tff(116,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(117,plain,
% 0.19/0.45 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(118,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[117])).
% 0.19/0.45 tff(119,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(120,plain,
% 0.19/0.45 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) <=> (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> ((p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))))), rewrite(((p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))))), rewrite(((p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(121,plain,
% 0.19/0.45 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[120])).
% 0.19/0.45 tff(122,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_18')).
% 0.19/0.45 tff(123,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.19/0.45 tff(124,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[123, 119])).
% 0.19/0.45 tff(125,plain,(
% 0.19/0.45 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[124])).
% 0.19/0.45 tff(126,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[125, 118])).
% 0.19/0.45 tff(127,plain,
% 0.19/0.45 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[126, 116])).
% 0.19/0.45 tff(128,plain,
% 0.19/0.45 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(129,plain,
% 0.19/0.45 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(130,plain,
% 0.19/0.45 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[129])).
% 0.19/0.45 tff(131,plain,
% 0.19/0.45 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[130, 128])).
% 0.19/0.45 tff(132,plain,
% 0.19/0.45 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(133,plain,
% 0.19/0.45 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.45 tff(134,plain,
% 0.19/0.45 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[133, 127])).
% 0.19/0.45 tff(135,plain,
% 0.19/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[134, 115, 82, 97, 11])).
% 0.19/0.45 tff(136,plain,
% 0.19/0.45 (f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.45 inference(symmetry,[status(thm)],[135])).
% 0.19/0.45 tff(137,plain,
% 0.19/0.45 (f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1))),
% 0.19/0.45 inference(transitivity,[status(thm)],[136, 10])).
% 0.19/0.45 tff(138,plain,
% 0.19/0.45 (p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[137])).
% 0.19/0.45 tff(139,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(symmetry,[status(thm)],[138])).
% 0.19/0.45 tff(140,plain,
% 0.19/0.45 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> (~p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[139])).
% 0.19/0.45 tff(141,plain,
% 0.19/0.45 (~p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[22, 140])).
% 0.19/0.45 tff(142,plain,
% 0.19/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
% 0.19/0.45 inference(symmetry,[status(thm)],[15])).
% 0.19/0.45 tff(143,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[142])).
% 0.19/0.45 tff(144,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(symmetry,[status(thm)],[143])).
% 0.19/0.45 tff(145,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[26, 144])).
% 0.19/0.45 tff(146,plain,
% 0.19/0.45 (^[Y_95: $i, X_94: $i] : refl(((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)) <=> ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(147,plain,
% 0.19/0.45 (![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)) <=> ![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[146])).
% 0.19/0.45 tff(148,plain,
% 0.19/0.45 (![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)) <=> ![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(149,plain,
% 0.19/0.45 (^[Y_95: $i, X_94: $i] : rewrite((((~p_LES_EQU_(X_94, Y_95)) | (X_94 = Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)) <=> ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(150,plain,
% 0.19/0.45 (![Y_95: $i, X_94: $i] : (((~p_LES_EQU_(X_94, Y_95)) | (X_94 = Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95)) <=> ![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[149])).
% 0.19/0.45 tff(151,axiom,(![Y_95: $i, X_94: $i] : (((~p_LES_EQU_(X_94, Y_95)) | (X_94 = Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_69')).
% 0.19/0.45 tff(152,plain,
% 0.19/0.45 (![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.19/0.45 tff(153,plain,
% 0.19/0.45 (![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[152, 148])).
% 0.19/0.45 tff(154,plain,(
% 0.19/0.45 ![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(skolemize,[status(sab)],[153])).
% 0.19/0.45 tff(155,plain,
% 0.19/0.45 (![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[154, 147])).
% 0.19/0.45 tff(156,plain,
% 0.19/0.45 (((~![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))) | ((fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) | p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_))) <=> ((~![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) | p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(157,plain,
% 0.19/0.45 ((~![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))) | ((fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) | p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(158,plain,
% 0.19/0.45 ((~![Y_95: $i, X_94: $i] : ((X_94 = Y_95) | (~p_LES_EQU_(X_94, Y_95)) | p_LES_EQU_(f_ADD_(X_94, n1), Y_95))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) | p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.19/0.46 tff(159,plain,
% 0.19/0.46 ((fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) | p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[158, 155])).
% 0.19/0.46 tff(160,plain,
% 0.19/0.46 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[159, 145, 141])).
% 0.19/0.46 tff(161,plain,
% 0.19/0.46 (fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.19/0.46 inference(symmetry,[status(thm)],[160])).
% 0.19/0.46 tff(162,plain,
% 0.19/0.46 (fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
% 0.19/0.46 inference(transitivity,[status(thm)],[161, 142])).
% 0.19/0.46 tff(163,plain,
% 0.19/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.46 inference(monotonicity,[status(thm)],[162, 160])).
% 0.19/0.46 tff(164,plain,
% 0.19/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.46 inference(symmetry,[status(thm)],[163])).
% 0.19/0.46 tff(165,plain,
% 0.19/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[26, 164])).
% 0.19/0.46 tff(166,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[115, 165])).
% 0.19/0.46 tff(167,plain,(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46 tff(168,assumption,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))), introduced(assumption)).
% 0.19/0.46 tff(169,plain,
% 0.19/0.46 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(170,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[169])).
% 0.19/0.46 tff(171,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(172,plain,
% 0.19/0.46 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> (((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))))), rewrite((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ((p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite(((p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(173,plain,
% 0.19/0.46 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[172])).
% 0.19/0.46 tff(174,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_47')).
% 0.19/0.46 tff(175,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.19/0.46 tff(176,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[175, 171])).
% 0.19/0.46 tff(177,plain,(
% 0.19/0.46 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[176])).
% 0.19/0.46 tff(178,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[177, 170])).
% 0.19/0.46 tff(179,plain,
% 0.19/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(180,plain,
% 0.19/0.46 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(181,plain,
% 0.19/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[180])).
% 0.19/0.46 tff(182,plain,
% 0.19/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[181, 179])).
% 0.19/0.46 tff(183,plain,
% 0.19/0.46 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(184,plain,
% 0.19/0.46 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.19/0.46 tff(185,plain,
% 0.19/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[184, 178])).
% 0.19/0.46 tff(186,plain,
% 0.19/0.46 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[185, 168, 82, 28, 167])).
% 0.19/0.46 tff(187,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(188,plain,
% 0.19/0.46 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(189,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[188])).
% 0.19/0.46 tff(190,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(191,plain,
% 0.19/0.46 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) <=> (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))))), rewrite(((p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ((p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite(((p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(192,plain,
% 0.19/0.46 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[191])).
% 0.19/0.46 tff(193,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_43')).
% 0.19/0.46 tff(194,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.19/0.46 tff(195,plain,
% 0.19/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[194, 190])).
% 0.19/0.46 tff(196,plain,(
% 0.19/0.46 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[195])).
% 0.19/0.47 tff(197,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[196, 189])).
% 0.19/0.47 tff(198,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[197, 187])).
% 0.19/0.47 tff(199,plain,
% 0.19/0.47 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(200,plain,
% 0.19/0.47 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(201,plain,
% 0.19/0.47 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.19/0.47 tff(202,plain,
% 0.19/0.47 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[201, 198])).
% 0.19/0.47 tff(203,plain,
% 0.19/0.47 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[202, 186, 82, 167, 168])).
% 0.19/0.47 tff(204,plain,
% 0.19/0.47 (f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.47 inference(symmetry,[status(thm)],[203])).
% 0.19/0.47 tff(205,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[204])).
% 0.19/0.47 tff(206,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.47 inference(symmetry,[status(thm)],[205])).
% 0.19/0.47 tff(207,assumption,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))), introduced(assumption)).
% 0.19/0.47 tff(208,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.47 inference(monotonicity,[status(thm)],[10])).
% 0.19/0.47 tff(209,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.47 inference(symmetry,[status(thm)],[208])).
% 0.19/0.47 tff(210,plain,
% 0.19/0.47 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[209])).
% 0.19/0.47 tff(211,plain,
% 0.19/0.47 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[22, 210])).
% 0.19/0.47 tff(212,plain,
% 0.19/0.47 (((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))) <=> ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(213,plain,
% 0.19/0.47 ((p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_))) <=> (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(214,plain,
% 0.19/0.47 (((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))) <=> ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[213])).
% 0.19/0.47 tff(215,plain,
% 0.19/0.47 (((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))) <=> ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[214, 212])).
% 0.19/0.47 tff(216,plain,
% 0.19/0.47 ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(217,plain,
% 0.19/0.47 ((~![X_98: $i, Y_99: $i, Z_100: $i] : (p_LES_EQU_(Z_100, Y_99) | p_LES_EQU_(Y_99, X_98) | (~p_LES_EQU_(Z_100, X_98)))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.19/0.47 tff(218,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[217, 50, 211])).
% 0.19/0.47 tff(219,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[218, 145, 207])).
% 0.19/0.47 tff(220,plain,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(221,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[220, 206])).
% 0.19/0.47 tff(222,plain,
% 0.19/0.47 (^[X_82: $i] : refl(((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0)) <=> ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0)))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(223,plain,
% 0.19/0.47 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0)) <=> ![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[222])).
% 0.19/0.47 tff(224,plain,
% 0.19/0.47 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0)) <=> ![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(225,axiom,(![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_61')).
% 0.19/0.47 tff(226,plain,
% 0.19/0.47 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.19/0.47 tff(227,plain,(
% 0.19/0.47 ![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.19/0.47 inference(skolemize,[status(sab)],[226])).
% 0.19/0.47 tff(228,plain,
% 0.19/0.47 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[227, 223])).
% 0.19/0.47 tff(229,plain,
% 0.19/0.47 (((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(230,plain,
% 0.19/0.47 ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(231,plain,
% 0.19/0.47 ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.19/0.47 tff(232,plain,
% 0.19/0.47 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[231, 228, 186])).
% 0.19/0.47 tff(233,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[232, 221])).
% 0.19/0.47 tff(234,plain,(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(235,plain,
% 0.19/0.47 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(236,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[235])).
% 0.19/0.47 tff(237,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(238,plain,
% 0.19/0.47 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) <=> ((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> (((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))))), rewrite((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(239,plain,
% 0.19/0.47 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[238])).
% 0.19/0.47 tff(240,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_31')).
% 0.19/0.47 tff(241,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.19/0.47 tff(242,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[241, 237])).
% 0.19/0.47 tff(243,plain,(
% 0.19/0.47 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(skolemize,[status(sab)],[242])).
% 0.19/0.47 tff(244,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[243, 236])).
% 0.19/0.47 tff(245,plain,
% 0.19/0.47 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(246,plain,
% 0.19/0.47 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(247,plain,
% 0.19/0.47 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[246])).
% 0.19/0.47 tff(248,plain,
% 0.19/0.47 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[247, 245])).
% 0.19/0.47 tff(249,plain,
% 0.19/0.47 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(250,plain,
% 0.19/0.47 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.19/0.47 tff(251,plain,
% 0.19/0.47 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[250, 244])).
% 0.19/0.47 tff(252,plain,
% 0.19/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[251, 234, 28, 82, 167])).
% 0.19/0.47 tff(253,plain,
% 0.19/0.47 (^[X_103: $i] : refl(((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)) <=> ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(254,plain,
% 0.19/0.47 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)) <=> ![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[253])).
% 0.19/0.47 tff(255,plain,
% 0.19/0.47 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)) <=> ![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(256,axiom,(![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_73')).
% 0.19/0.47 tff(257,plain,
% 0.19/0.47 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.19/0.47 tff(258,plain,(
% 0.19/0.47 ![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.19/0.47 inference(skolemize,[status(sab)],[257])).
% 0.19/0.47 tff(259,plain,
% 0.19/0.47 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[258, 254])).
% 0.19/0.47 tff(260,plain,
% 0.19/0.47 (((~![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0))) <=> ((~![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(261,plain,
% 0.19/0.47 ((~![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(262,plain,
% 0.19/0.47 ((~![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0)),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.19/0.47 tff(263,plain,
% 0.19/0.47 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[262, 259, 252])).
% 0.19/0.47 tff(264,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(265,plain,
% 0.19/0.47 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(266,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[265])).
% 0.19/0.47 tff(267,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(268,plain,
% 0.19/0.47 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> ((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> (((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))))), rewrite((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(269,plain,
% 0.19/0.47 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[268])).
% 0.19/0.47 tff(270,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_36')).
% 0.19/0.47 tff(271,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.19/0.47 tff(272,plain,
% 0.19/0.47 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[271, 267])).
% 0.19/0.48 tff(273,plain,(
% 0.19/0.48 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.48 inference(skolemize,[status(sab)],[272])).
% 0.19/0.48 tff(274,plain,
% 0.19/0.48 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[273, 266])).
% 0.19/0.48 tff(275,plain,
% 0.19/0.48 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[274, 264])).
% 0.19/0.48 tff(276,plain,
% 0.19/0.48 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(277,plain,
% 0.19/0.48 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(278,plain,
% 0.19/0.48 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[277])).
% 0.19/0.48 tff(279,plain,
% 0.19/0.48 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.48 inference(transitivity,[status(thm)],[278, 276])).
% 0.19/0.48 tff(280,plain,
% 0.19/0.48 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(281,plain,
% 0.19/0.48 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.19/0.48 tff(282,plain,
% 0.19/0.48 (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[281, 275])).
% 0.19/0.48 tff(283,plain,
% 0.19/0.48 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[282, 252, 82, 234, 167])).
% 0.19/0.48 tff(284,plain,
% 0.19/0.48 (f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[283])).
% 0.19/0.48 tff(285,plain,
% 0.19/0.48 (f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1))),
% 0.19/0.48 inference(transitivity,[status(thm)],[284, 10])).
% 0.19/0.48 tff(286,plain,
% 0.19/0.48 (p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.48 inference(monotonicity,[status(thm)],[285])).
% 0.19/0.48 tff(287,plain,
% 0.19/0.48 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_) <=> p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.48 inference(symmetry,[status(thm)],[286])).
% 0.19/0.48 tff(288,plain,
% 0.19/0.48 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206, n1)), fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> (~p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[287])).
% 0.19/0.48 tff(289,plain,
% 0.19/0.48 (~p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[22, 288])).
% 0.19/0.48 tff(290,plain,
% 0.19/0.48 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[159, 145, 289])).
% 0.19/0.48 tff(291,plain,
% 0.19/0.48 (fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.19/0.48 inference(symmetry,[status(thm)],[290])).
% 0.19/0.48 tff(292,plain,
% 0.19/0.48 (fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0),
% 0.19/0.48 inference(transitivity,[status(thm)],[291, 263])).
% 0.19/0.48 tff(293,plain,
% 0.19/0.48 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0) <=> p_LES_EQU_(n0, n0)),
% 0.19/0.48 inference(monotonicity,[status(thm)],[292])).
% 0.19/0.48 tff(294,plain,
% 0.19/0.48 (p_LES_EQU_(n0, n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)),
% 0.19/0.48 inference(symmetry,[status(thm)],[293])).
% 0.19/0.48 tff(295,plain,
% 0.19/0.48 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) <=> p_LES_EQU_(n0, n0)),
% 0.19/0.48 inference(monotonicity,[status(thm)],[263])).
% 0.19/0.48 tff(296,plain,
% 0.19/0.48 (p_LES_EQU_(n0, n0)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[252, 295])).
% 0.19/0.48 tff(297,plain,
% 0.19/0.48 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[296, 294])).
% 0.19/0.48 tff(298,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[40, 297])).
% 0.19/0.48 % SZS output end Proof
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------