TSTP Solution File: HWV021-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 Sep 17 02:10:40 EDT 2022
% Result : Unsatisfiable 0.20s 0.45s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 22:01:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.45 % SZS status Unsatisfiable
% 0.20/0.45 % SZS output start Proof
% 0.20/0.45 tff(p_LES_EQU__type, type, (
% 0.20/0.45 p_LES_EQU_: ( $i * $i ) > $o)).
% 0.20/0.45 tff(f__length__type, type, (
% 0.20/0.45 f__length_: $i > $i)).
% 0.20/0.45 tff(f__empty__type, type, (
% 0.20/0.45 f__empty_: $i)).
% 0.20/0.45 tff(fwork_DOTfifo_DOTrtl_DOTint__level__type, type, (
% 0.20/0.45 fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i)).
% 0.20/0.45 tff(t_206_type, type, (
% 0.20/0.45 t_206: $i)).
% 0.20/0.45 tff(p__pred__type, type, (
% 0.20/0.45 p__pred_: $i > $o)).
% 0.20/0.45 tff(fwork_DOTfifo_DOTrtl_DOTempty__type, type, (
% 0.20/0.45 fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i)).
% 0.20/0.45 tff(n0_type, type, (
% 0.20/0.45 n0: $i)).
% 0.20/0.45 tff(fwork_DOTfifo_DOTrtl_DOTwr__type, type, (
% 0.20/0.45 fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i)).
% 0.20/0.45 tff(fwork_DOTfifo_DOTrtl_DOTrd__type, type, (
% 0.20/0.45 fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i)).
% 0.20/0.45 tff(fwork_DOTfifo_DOTrtl_DOTreset__type, type, (
% 0.20/0.45 fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i)).
% 0.20/0.45 tff(fwork_DOTfifo_DOTrtl_DOTrd__error__type, type, (
% 0.20/0.45 fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i)).
% 0.20/0.45 tff(f_ADD__type, type, (
% 0.20/0.45 f_ADD_: ( $i * $i ) > $i)).
% 0.20/0.45 tff(n1_type, type, (
% 0.20/0.45 n1: $i)).
% 0.20/0.45 tff(1,assumption,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))), introduced(assumption)).
% 0.20/0.45 tff(2,plain,
% 0.20/0.45 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))) <=> (~p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(3,axiom,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_4')).
% 0.20/0.45 tff(4,plain,
% 0.20/0.45 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.45 tff(5,plain,
% 0.20/0.45 (^[T_3: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_)))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(6,plain,
% 0.20/0.45 (![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_)))) <=> ![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[5])).
% 0.20/0.45 tff(7,plain,
% 0.20/0.45 (^[T_3: $i] : rewrite((p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = n0))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(8,plain,
% 0.20/0.45 (![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = n0))) <=> ![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[7])).
% 0.20/0.45 tff(9,plain,
% 0.20/0.45 (![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = n0))) <=> ![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = n0)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(10,axiom,(![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = n0)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_8')).
% 0.20/0.45 tff(11,plain,
% 0.20/0.45 (![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = n0)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.45 tff(12,plain,
% 0.20/0.45 (![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[11, 8])).
% 0.20/0.45 tff(13,plain,(
% 0.20/0.45 ![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[12])).
% 0.20/0.45 tff(14,plain,
% 0.20/0.45 (![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.20/0.45 tff(15,plain,
% 0.20/0.45 (((~![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_))))) <=> ((~![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(16,plain,
% 0.20/0.45 ((~![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(17,plain,
% 0.20/0.45 ((~![T_3: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) = f__length_(f__empty_))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) | (~(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.45 tff(18,plain,
% 0.20/0.45 (~(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[17, 14, 4])).
% 0.20/0.45 tff(19,plain,
% 0.20/0.45 (^[X_103: $i] : refl(((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_))) <=> ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(20,plain,
% 0.20/0.45 (![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_))) <=> ![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[19])).
% 0.20/0.45 tff(21,plain,
% 0.20/0.45 (^[X_103: $i] : rewrite(((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)) <=> ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(22,plain,
% 0.20/0.45 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)) <=> ![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[21])).
% 0.20/0.45 tff(23,plain,
% 0.20/0.45 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0)) <=> ![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(24,axiom,(![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_73')).
% 0.20/0.45 tff(25,plain,
% 0.20/0.45 (![X_103: $i] : ((~p_LES_EQU_(X_103, n0)) | (X_103 = n0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.45 tff(26,plain,
% 0.20/0.45 (![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[25, 22])).
% 0.20/0.45 tff(27,plain,(
% 0.20/0.45 ![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[26])).
% 0.20/0.45 tff(28,plain,
% 0.20/0.45 (![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.20/0.45 tff(29,plain,
% 0.20/0.45 (((~![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_)))) <=> ((~![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(30,plain,
% 0.20/0.45 ((~![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(31,plain,
% 0.20/0.46 ((~![X_103: $i] : ((~p_LES_EQU_(X_103, f__length_(f__empty_))) | (X_103 = f__length_(f__empty_)))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = f__length_(f__empty_))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.20/0.46 tff(32,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[31, 28, 18, 1])).
% 0.20/0.46 tff(33,plain,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(34,plain,
% 0.20/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(35,axiom,(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_3')).
% 0.20/0.46 tff(36,plain,
% 0.20/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.46 tff(37,plain,
% 0.20/0.46 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) <=> (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(38,axiom,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_2')).
% 0.20/0.46 tff(39,plain,
% 0.20/0.46 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.46 tff(40,plain,
% 0.20/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1))) <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(41,axiom,(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_1')).
% 0.20/0.46 tff(42,plain,
% 0.20/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.46 tff(43,plain,
% 0.20/0.46 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(44,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[43])).
% 0.20/0.46 tff(45,plain,
% 0.20/0.46 (^[T_13: $i] : trans(monotonicity(rewrite(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))), ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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)) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_))))), rewrite((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))), ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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)) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(46,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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)) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[45])).
% 0.20/0.46 tff(47,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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)) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(48,plain,
% 0.20/0.46 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(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__error_(f_ADD_(T_13, n1)))) | 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))), (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | 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)))), ((((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | 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)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))))), rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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))), ((((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | 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))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(49,plain,
% 0.20/0.46 (![T_13: $i] : (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | 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))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[48])).
% 0.20/0.46 tff(50,axiom,(![T_13: $i] : (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_46')).
% 0.20/0.46 tff(51,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.46 tff(52,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.20/0.46 tff(53,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[52, 46])).
% 0.20/0.46 tff(54,plain,(
% 0.20/0.46 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[53])).
% 0.20/0.46 tff(55,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[54, 44])).
% 0.20/0.46 tff(56,plain,
% 0.20/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | (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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | 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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(57,plain,
% 0.20/0.46 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | 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), f__length_(f__empty_))) <=> (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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(58,plain,
% 0.20/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | 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), f__length_(f__empty_)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | (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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1))))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[57])).
% 0.20/0.46 tff(59,plain,
% 0.20/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | 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), f__length_(f__empty_)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | 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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))))),
% 0.20/0.46 inference(transitivity,[status(thm)],[58, 56])).
% 0.20/0.46 tff(60,plain,
% 0.20/0.46 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | 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), f__length_(f__empty_)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(61,plain,
% 0.20/0.46 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | 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), f__length_(f__empty_)))) | 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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.46 tff(62,plain,
% 0.20/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[61, 55, 42, 39, 36])).
% 0.20/0.46 tff(63,plain,
% 0.20/0.46 (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[62, 33])).
% 0.20/0.46 tff(64,plain,
% 0.20/0.46 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(65,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))) <=> ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[64])).
% 0.20/0.46 tff(66,plain,
% 0.20/0.46 (^[T_13: $i] : trans(monotonicity(rewrite(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))), ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))))), rewrite((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))), ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(67,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[66])).
% 0.20/0.46 tff(68,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(69,plain,
% 0.20/0.46 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))), ((((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))), ((((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(70,plain,
% 0.20/0.46 (![T_13: $i] : (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[69])).
% 0.20/0.46 tff(71,axiom,(![T_13: $i] : (((((~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_34')).
% 0.20/0.46 tff(72,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.20/0.46 tff(73,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.20/0.46 tff(74,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[73, 67])).
% 0.20/0.46 tff(75,plain,(
% 0.20/0.46 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[74])).
% 0.20/0.46 tff(76,plain,
% 0.20/0.46 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[75, 65])).
% 0.20/0.46 tff(77,plain,
% 0.20/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | (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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~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__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | 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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(78,plain,
% 0.20/0.46 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))) <=> (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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(79,plain,
% 0.20/0.46 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | (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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[78])).
% 0.20/0.47 tff(80,plain,
% 0.20/0.47 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | 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), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[79, 77])).
% 0.20/0.47 tff(81,plain,
% 0.20/0.47 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(82,plain,
% 0.20/0.47 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206, n1)))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.20/0.47 tff(83,plain,
% 0.20/0.47 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[82, 76, 42, 39, 36])).
% 0.20/0.47 tff(84,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[83, 63, 33])).
% 0.20/0.47 % SZS output end Proof
%------------------------------------------------------------------------------