TSTP Solution File: HWV017-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV017-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 02:10:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV017-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 31 22:14:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.44 % SZS status Unsatisfiable
% 0.19/0.44 % SZS output start Proof
% 0.19/0.44 tff(p_LES_EQU__type, type, (
% 0.19/0.44 p_LES_EQU_: ( $i * $i ) > $o)).
% 0.19/0.44 tff(f__length__type, type, (
% 0.19/0.44 f__length_: $i > $i)).
% 0.19/0.44 tff(f__empty__type, type, (
% 0.19/0.44 f__empty_: $i)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTint__level__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i)).
% 0.19/0.44 tff(t_206_type, type, (
% 0.19/0.44 t_206: $i)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTfifo__length__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i)).
% 0.19/0.44 tff(f_ADD__type, type, (
% 0.19/0.44 f_ADD_: ( $i * $i ) > $i)).
% 0.19/0.44 tff(n1_type, type, (
% 0.19/0.44 n1: $i)).
% 0.19/0.44 tff(p__pred__type, type, (
% 0.19/0.44 p__pred_: $i > $o)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTfull__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i)).
% 0.19/0.44 tff(f_SUB__type, type, (
% 0.19/0.44 f_SUB_: ( $i * $i ) > $i)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTlevel__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTrd__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTreset__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i)).
% 0.19/0.44 tff(fwork_DOTfifo_DOTrtl_DOTwr__type, type, (
% 0.19/0.44 fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i)).
% 0.19/0.44 tff(n0_type, type, (
% 0.19/0.44 n0: $i)).
% 0.19/0.44 tff(1,plain,
% 0.19/0.44 (p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1))) <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(2,axiom,(p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_5')).
% 0.19/0.44 tff(3,plain,
% 0.19/0.44 (p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.44 tff(4,plain,
% 0.19/0.44 (^[T_2: $i] : refl(((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(5,plain,
% 0.19/0.44 (![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> ![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.44 tff(6,plain,
% 0.19/0.44 (![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_)) <=> ![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(7,axiom,(![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_7')).
% 0.19/0.44 tff(8,plain,
% 0.19/0.44 (![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.44 tff(9,plain,(
% 0.19/0.44 ![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.44 inference(skolemize,[status(sab)],[8])).
% 0.19/0.44 tff(10,plain,
% 0.19/0.44 (![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.44 tff(11,plain,
% 0.19/0.44 (((~![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))) | ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))) <=> ((~![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(12,plain,
% 0.19/0.45 ((~![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))) | ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(13,plain,
% 0.19/0.45 ((~![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.19/0.45 tff(14,plain,
% 0.19/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.19/0.45 tff(15,assumption,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))), introduced(assumption)).
% 0.19/0.45 tff(16,plain,
% 0.19/0.45 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(17,axiom,(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_4')).
% 0.19/0.45 tff(18,plain,
% 0.19/0.45 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.45 tff(19,plain,
% 0.19/0.45 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) <=> (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(20,axiom,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_3')).
% 0.19/0.45 tff(21,plain,
% 0.19/0.45 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.19/0.45 tff(22,plain,
% 0.19/0.45 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) <=> (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(23,axiom,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.45 tff(24,plain,
% 0.19/0.45 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.19/0.45 tff(25,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_DOTint__level_(T_13), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(26,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_DOTint__level_(T_13), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[25])).
% 0.19/0.45 tff(27,plain,
% 0.19/0.45 (^[T_13: $i] : rewrite((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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(28,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_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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[27])).
% 0.19/0.45 tff(29,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_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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(30,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_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)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(31,plain,
% 0.19/0.45 (![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)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[30])).
% 0.19/0.45 tff(32,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/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_43')).
% 0.19/0.45 tff(33,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_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)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.45 tff(34,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_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)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.19/0.45 tff(35,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_DOTint__level_(T_13), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[34, 28])).
% 0.19/0.45 tff(36,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_DOTint__level_(T_13), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[35])).
% 0.19/0.45 tff(37,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_DOTint__level_(T_13), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[36, 26])).
% 0.19/0.45 tff(38,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_DOTint__level_(T_13), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(39,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_DOTint__level_(T_13), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(40,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_DOTint__level_(T_13), f__length_(f__empty_)) | (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), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.45 tff(41,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[40, 37, 24, 21, 18])).
% 0.19/0.45 tff(42,plain,
% 0.19/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[41, 15])).
% 0.19/0.45 tff(43,plain,
% 0.19/0.45 (f_SUB_(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)],[42])).
% 0.19/0.45 tff(44,plain,
% 0.19/0.45 (f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.19/0.45 inference(transitivity,[status(thm)],[43, 14])).
% 0.19/0.45 tff(45,plain,
% 0.19/0.45 (^[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)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(46,plain,
% 0.19/0.45 (![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))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[45])).
% 0.19/0.45 tff(47,plain,
% 0.19/0.45 (![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))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(48,axiom,(![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_5')).
% 0.19/0.45 tff(49,plain,
% 0.19/0.45 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.19/0.45 tff(50,plain,(
% 0.19/0.45 ![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.45 inference(skolemize,[status(sab)],[49])).
% 0.19/0.45 tff(51,plain,
% 0.19/0.45 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.19/0.45 tff(52,plain,
% 0.19/0.45 ((~![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))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(53,plain,
% 0.19/0.45 (fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.19/0.45 tff(54,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)],[53])).
% 0.19/0.45 tff(55,plain,
% 0.19/0.45 (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_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[54, 44])).
% 0.19/0.45 tff(56,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), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.45 inference(symmetry,[status(thm)],[55])).
% 0.19/0.45 tff(57,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_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(58,axiom,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.45 tff(59,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.19/0.45 tff(60,plain,
% 0.19/0.45 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[59, 56])).
% 0.19/0.45 tff(61,plain,
% 0.19/0.45 (^[X_82: $i] : refl(((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_))) <=> ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(62,plain,
% 0.19/0.45 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_))) <=> ![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[61])).
% 0.19/0.45 tff(63,plain,
% 0.19/0.45 (^[X_82: $i] : rewrite(((~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, f__length_(f__empty_))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(64,plain,
% 0.19/0.45 (![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, f__length_(f__empty_)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[63])).
% 0.19/0.45 tff(65,plain,
% 0.19/0.45 (![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))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(66,axiom,(![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_61')).
% 0.19/0.45 tff(67,plain,
% 0.19/0.45 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.45 tff(68,plain,
% 0.19/0.45 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[67, 64])).
% 0.19/0.45 tff(69,plain,(
% 0.19/0.45 ![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[68])).
% 0.19/0.45 tff(70,plain,
% 0.19/0.45 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.19/0.45 tff(71,plain,
% 0.19/0.45 (((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))) | ((~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), f__length_(f__empty_)))) <=> ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))) | (~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), f__length_(f__empty_)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(72,plain,
% 0.19/0.45 ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))) | ((~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), f__length_(f__empty_)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(73,plain,
% 0.19/0.45 ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, f__length_(f__empty_)))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.45 tff(74,plain,
% 0.19/0.45 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[73, 70, 15])).
% 0.19/0.45 tff(75,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[74, 60])).
% 0.19/0.45 tff(76,plain,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(77,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))) | (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), f__length_(f__empty_)))) <=> (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), f__length_(f__empty_)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(78,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_DOTint__level_(T_13), f__length_(f__empty_)))) <=> ![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), f__length_(f__empty_))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[77])).
% 0.19/0.45 tff(79,plain,
% 0.19/0.45 (^[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_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), f__length_(f__empty_)))))), rewrite((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), f__length_(f__empty_)))) <=> (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), f__length_(f__empty_))))), ((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), f__length_(f__empty_))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(80,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_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), f__length_(f__empty_))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[79])).
% 0.19/0.45 tff(81,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_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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(82,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)) = 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)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(83,plain,
% 0.19/0.45 (![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)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[82])).
% 0.19/0.45 tff(84,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/sandbox2/benchmark/Axioms/HWV004-0.ax','axiom_47')).
% 0.19/0.45 tff(85,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_DOTint__level_(T_13), n0)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.19/0.45 tff(86,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_DOTint__level_(T_13), n0)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.19/0.45 tff(87,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_DOTint__level_(T_13), f__length_(f__empty_))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[86, 80])).
% 0.19/0.45 tff(88,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_DOTint__level_(T_13), f__length_(f__empty_))))),
% 0.19/0.45 inference(skolemize,[status(sab)],[87])).
% 0.19/0.45 tff(89,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_DOTint__level_(T_13), f__length_(f__empty_))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.19/0.45 tff(90,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_DOTint__level_(T_13), f__length_(f__empty_))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | 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_))) | (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_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), f__length_(f__empty_))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | 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_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(91,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))) | (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), f__length_(f__empty_)))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | 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_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(92,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_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))) | (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), f__length_(f__empty_))))) <=> ((~![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), f__length_(f__empty_))))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | 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_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[91])).
% 0.19/0.45 tff(93,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_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))) | (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), f__length_(f__empty_))))) <=> ((~![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), f__length_(f__empty_))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | 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_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[92, 90])).
% 0.19/0.45 tff(94,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_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))) | (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), f__length_(f__empty_))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(95,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), f__length_(f__empty_))))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | 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_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.19/0.46 tff(96,plain,
% 0.19/0.46 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[95, 89, 24, 21, 18])).
% 0.19/0.46 tff(97,plain,
% 0.19/0.46 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[96, 76])).
% 0.19/0.46 tff(98,plain,
% 0.19/0.46 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.19/0.46 inference(symmetry,[status(thm)],[97])).
% 0.19/0.46 tff(99,plain,
% 0.19/0.46 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.19/0.46 inference(transitivity,[status(thm)],[98, 14])).
% 0.19/0.46 tff(100,plain,
% 0.19/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, f__length_(f__empty_))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[99])).
% 0.19/0.46 tff(101,plain,
% 0.19/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, f__length_(f__empty_)) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))),
% 0.19/0.46 inference(symmetry,[status(thm)],[100])).
% 0.19/0.46 tff(102,plain,
% 0.19/0.46 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, f__length_(f__empty_))) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_)))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[101])).
% 0.19/0.46 tff(103,plain,
% 0.19/0.46 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, f__length_(f__empty_)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(104,plain,
% 0.19/0.46 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(105,axiom,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_6')).
% 0.19/0.46 tff(106,plain,
% 0.19/0.46 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.19/0.46 tff(107,plain,
% 0.19/0.46 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, f__length_(f__empty_))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[106, 103])).
% 0.19/0.46 tff(108,plain,
% 0.19/0.46 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f__length_(f__empty_))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[107, 102])).
% 0.19/0.46 tff(109,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[76, 108])).
% 0.19/0.46 % SZS output end Proof
%------------------------------------------------------------------------------