%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV017-2 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:08:56 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : HWV017-2 : TPTP v9.0.0. Released v2.5.0.
% 0.01/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 17:19:48 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(p_LES_EQU__type, type, (
% 0.20/0.43 p_LES_EQU_: ( $i * $i ) > $o)).
% 0.20/0.43 tff(n0_type, type, (
% 0.20/0.43 n0: $i)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTint__level__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i)).
% 0.20/0.43 tff(t_206_type, type, (
% 0.20/0.43 t_206: $i)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTfifo__length__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i)).
% 0.20/0.43 tff(f_ADD__type, type, (
% 0.20/0.43 f_ADD_: ( $i * $i ) > $i)).
% 0.20/0.43 tff(n1_type, type, (
% 0.20/0.43 n1: $i)).
% 0.20/0.43 tff(p__pred__type, type, (
% 0.20/0.43 p__pred_: $i > $o)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTfull__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i)).
% 0.20/0.43 tff(f_SUB__type, type, (
% 0.20/0.43 f_SUB_: ( $i * $i ) > $i)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTlevel__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTrd__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTreset__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i)).
% 0.20/0.43 tff(fwork_DOTfifo_DOTrtl_DOTwr__type, type, (
% 0.20/0.43 fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i)).
% 0.20/0.43 tff(1,plain,
% 0.20/0.43 (p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1))) <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(2,axiom,(p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_5')).
% 0.20/0.43 tff(3,plain,
% 0.20/0.43 (p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206, n1)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.43 tff(4,plain,
% 0.20/0.43 (^[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_)))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(5,plain,
% 0.20/0.43 (![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_))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.43 tff(6,plain,
% 0.20/0.43 (![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_))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 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/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_7')).
% 0.20/0.43 tff(8,plain,
% 0.20/0.43 (![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.43 tff(9,plain,(
% 0.20/0.43 ![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.20/0.43 inference(skolemize,[status(sab)],[8])).
% 0.20/0.43 tff(10,plain,
% 0.20/0.43 (![T_2: $i] : ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.20/0.43 tff(11,plain,
% 0.20/0.43 (((~![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_))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(12,plain,
% 0.20/0.43 ((~![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_))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(13,plain,
% 0.20/0.43 ((~![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_)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.20/0.43 tff(14,plain,
% 0.20/0.43 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.20/0.43 tff(15,assumption,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)), introduced(assumption)).
% 0.20/0.43 tff(16,plain,
% 0.20/0.43 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(17,axiom,(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_4')).
% 0.20/0.43 tff(18,plain,
% 0.20/0.43 (p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.20/0.43 tff(19,plain,
% 0.20/0.43 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))) <=> (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(20,axiom,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.20/0.43 tff(21,plain,
% 0.20/0.43 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.43 tff(22,plain,
% 0.20/0.43 ((~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))) <=> (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(23,axiom,(~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.20/0.43 tff(24,plain,
% 0.20/0.43 (~p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.20/0.43 tff(25,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(26,plain,
% 0.20/0.43 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(27,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[26])).
% 0.20/0.43 tff(28,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(29,plain,
% 0.20/0.43 (^[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)))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(30,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[29])).
% 0.20/0.43 tff(31,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_43')).
% 0.20/0.43 tff(32,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.44 tff(33,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | 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)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.20/0.44 tff(34,plain,(
% 0.20/0.44 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | 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)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[33])).
% 0.20/0.44 tff(35,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | 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)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.20/0.44 tff(36,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | 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)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.20/0.44 tff(37,plain,
% 0.20/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(38,plain,
% 0.20/0.44 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(39,plain,
% 0.20/0.44 ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n1)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.44 tff(40,plain,
% 0.20/0.44 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[39, 36, 24, 21, 18])).
% 0.20/0.44 tff(41,plain,
% 0.20/0.44 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[40, 15])).
% 0.20/0.44 tff(42,plain,
% 0.20/0.44 (f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.20/0.44 inference(symmetry,[status(thm)],[41])).
% 0.20/0.44 tff(43,plain,
% 0.20/0.44 (f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.20/0.44 inference(transitivity,[status(thm)],[42, 14])).
% 0.20/0.44 tff(44,plain,
% 0.20/0.44 (^[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)))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(45,plain,
% 0.20/0.44 (![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))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[44])).
% 0.20/0.44 tff(46,plain,
% 0.20/0.44 (![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))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(47,axiom,(![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_5')).
% 0.20/0.44 tff(48,plain,
% 0.20/0.44 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.20/0.44 tff(49,plain,(
% 0.20/0.44 ![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.20/0.44 inference(skolemize,[status(sab)],[48])).
% 0.20/0.44 tff(50,plain,
% 0.20/0.44 (![T_0: $i] : (fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.20/0.44 tff(51,plain,
% 0.20/0.44 ((~![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))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(52,plain,
% 0.20/0.44 (fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.20/0.44 tff(53,plain,
% 0.20/0.44 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
% 0.20/0.44 inference(symmetry,[status(thm)],[52])).
% 0.20/0.44 tff(54,plain,
% 0.20/0.44 (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_)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[53, 43])).
% 0.20/0.44 tff(55,plain,
% 0.20/0.44 (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))),
% 0.20/0.44 inference(symmetry,[status(thm)],[54])).
% 0.20/0.44 tff(56,plain,
% 0.20/0.44 (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_)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(57,axiom,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.20/0.44 tff(58,plain,
% 0.20/0.44 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206), fwork_DOTfifo_DOTrtl_DOTfifo__length_)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.20/0.44 tff(59,plain,
% 0.20/0.44 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[58, 55])).
% 0.20/0.44 tff(60,plain,
% 0.20/0.44 (^[X_82: $i] : refl(((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0)) <=> ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0)))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(61,plain,
% 0.20/0.44 (![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))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[60])).
% 0.20/0.44 tff(62,plain,
% 0.20/0.44 (![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))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(63,axiom,(![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_61')).
% 0.20/0.44 tff(64,plain,
% 0.20/0.44 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.20/0.44 tff(65,plain,(
% 0.20/0.44 ![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.20/0.44 inference(skolemize,[status(sab)],[64])).
% 0.20/0.44 tff(66,plain,
% 0.20/0.44 (![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.20/0.44 tff(67,plain,
% 0.20/0.44 (((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(68,plain,
% 0.20/0.44 ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(69,plain,
% 0.20/0.44 ((~![X_82: $i] : ((~p_LES_EQU_(X_82, f_SUB_(X_82, n1))) | p_LES_EQU_(X_82, n0))) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))) | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.20/0.44 tff(70,plain,
% 0.20/0.44 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n1))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[69, 66, 15])).
% 0.20/0.44 tff(71,plain,
% 0.20/0.44 ($false),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[70, 59])).
% 0.20/0.44 tff(72,plain,(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.44 tff(73,plain,
% 0.20/0.44 (^[T_13: $i] : refl((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) <=> (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(74,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_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)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[73])).
% 0.20/0.44 tff(75,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_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)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(76,plain,
% 0.20/0.44 (^[T_13: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_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)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(77,plain,
% 0.20/0.44 (![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_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)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[76])).
% 0.20/0.44 tff(78,axiom,(![T_13: $i] : (((((fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0))) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13)))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))) | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax','axiom_47')).
% 0.20/0.44 tff(79,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.44 tff(80,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.20/0.44 tff(81,plain,(
% 0.20/0.44 ![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[80])).
% 0.20/0.44 tff(82,plain,
% 0.20/0.44 (![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.20/0.44 tff(83,plain,
% 0.20/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (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), n0)) | (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), n0)))) | 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), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(84,plain,
% 0.20/0.44 ((p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))) <=> (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), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(85,plain,
% 0.20/0.44 (((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | (p__pred_(fwork_DOTfifo_DOTrtl_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), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[84])).
% 0.20/0.45 tff(86,plain,
% 0.20/0.45 (((~![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)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))) <=> ((~![T_13: $i] : (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13), n0)))) | p__pred_(fwork_DOTfifo_DOTrtl_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), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[85, 83])).
% 0.20/0.45 tff(87,plain,
% 0.20/0.45 ((~![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)))) | (p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) | (~p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) | (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(88,plain,
% 0.20/0.45 ((~![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)))) | 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), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.20/0.45 tff(89,plain,
% 0.20/0.45 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)) | (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[88, 82, 24, 21, 18])).
% 0.20/0.45 tff(90,plain,
% 0.20/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[89, 72])).
% 0.20/0.45 tff(91,plain,
% 0.20/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206, n1))),
% 0.20/0.45 inference(symmetry,[status(thm)],[90])).
% 0.20/0.45 tff(92,plain,
% 0.20/0.45 (fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_),
% 0.20/0.45 inference(transitivity,[status(thm)],[91, 14])).
% 0.20/0.46 tff(93,plain,
% 0.20/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[92])).
% 0.20/0.46 tff(94,plain,
% 0.20/0.46 (p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0) <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)),
% 0.20/0.46 inference(symmetry,[status(thm)],[93])).
% 0.20/0.46 tff(95,plain,
% 0.20/0.46 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[94])).
% 0.20/0.46 tff(96,plain,
% 0.20/0.46 ((~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)) <=> (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(97,axiom,(~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_6')).
% 0.20/0.46 tff(98,plain,
% 0.20/0.46 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_, n0)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.20/0.46 tff(99,plain,
% 0.20/0.46 (~p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206), n0)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[98, 95])).
% 0.20/0.46 tff(100,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[72, 99])).
% 0.20/0.46 % SZS output end Proof
% 0.20/0.46 % E exiting
%------------------------------------------------------------------------------