TSTP Solution File: HWV026-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HWV026-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 : Thu Aug 31 02:07:15 EDT 2023

% Result   : Unsatisfiable 0.18s 0.56s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : HWV026-2 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n006.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   : Tue Aug 29 17:22:36 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.45  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tInpJAwHLv/cvc5---1.0.5_17037.p...
% 0.18/0.48  ------- get file name : TPTP file name is HWV026-2
% 0.18/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17037.smt2...
% 0.18/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.56  % SZS status Unsatisfiable for HWV026-2
% 0.18/0.56  % SZS output start Proof for HWV026-2
% 0.18/0.56  (
% 0.18/0.56  (let ((_let_1 (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ tptp.t_206)))) (let ((_let_2 (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ tptp.t_206 tptp.n1))))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ tptp.t_206)))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ tptp.t_206)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ T_13 tptp.n1))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))))) (let ((_let_9 (not _let_1))) (let ((_let_10 (or _let_9 _let_2 _let_6 _let_4))) (let ((_let_11 (_let_8))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (not _let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.t_206 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f_ADD_ T_13 tptp.n1)))) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_6 _let_4 _let_2 _let_9 _let_13))) (ASSUME :args (_let_7)) (ASSUME :args (_let_5)) (ASSUME :args (_let_3)) (ASSUME :args (_let_1)) :args (_let_13 true _let_6 true _let_4 true _let_2 false _let_1)) _let_12 :args (false true _let_10 false _let_8)) :args ((forall ((Vt___ $$unsorted)) (= (tptp.f__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ Vt___)) (tptp.f_ADD_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1) tptp.n1))) (forall ((Vt___ $$unsorted)) (= (tptp.f__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ Vt___)) (tptp.f_ADD_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1) tptp.n1))) (forall ((Vt___ $$unsorted)) (= (tptp.f__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__in_ Vt___)) (tptp.f_ADD_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1) tptp.n1))) (forall ((T_0 $$unsorted)) (= (tptp.fwork_DOTfifo_DOTrtl_DOTlevel_ T_0) (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_0))) (forall ((T_1 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTfull_ T_1)) (not (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_1) tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_)))) (forall ((T_2 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTfull_ T_2))) (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_2) tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_))) (forall ((T_3 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTempty_ T_3)) (not (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_3) tptp.n0)))) (forall ((T_4 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTempty_ T_4))) (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_4) tptp.n0))) (forall ((T_5 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_5 tptp.n1)) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_5 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ (tptp.f_ADD_ T_5 tptp.n1)) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_5 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_5 tptp.n1)) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_5 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ T_5 tptp.n1)))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_5 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_5 tptp.n1)))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_5 $$unsorted) (I1_6 $$unsorted) (I2_7 $$unsorted)) (or (not (tptp.p__pred_ (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_5 tptp.n1)) I1_6) I2_7))) (not (tptp.p_LES_EQU_ tptp.n0 I2_7)) (not (tptp.p_LES_EQU_ I2_7 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p_LES_EQU_ tptp.n0 I1_6)) (not (tptp.p_LES_EQU_ I1_6 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_5 $$unsorted) (I1_10 $$unsorted)) (or (not (tptp.p__pred_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_5 tptp.n1)) I1_10))) (not (tptp.p_LES_EQU_ tptp.n0 I1_10)) (not (tptp.p_LES_EQU_ I1_10 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_5))))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (let ((_let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.f_ADD_ _let_1 tptp.n1)) (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ _let_1) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fstd_DOTstandard_DOTmod_ (tptp.f_ADD_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13) tptp.n1) tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_)) (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_14 $$unsorted)) (or (= (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.f_SUB_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1) (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13))) I1_14) (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__in_ T_13) I1_14)) (not (tptp.p_LES_EQU_ tptp.n0 I1_14)) (not (tptp.p_LES_EQU_ I1_14 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (Cindex_16 $$unsorted) (I1_17 $$unsorted)) (let ((_let_1 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1))) (or (= (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_13 tptp.n1)) Cindex_16) I1_17) (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ T_13) Cindex_16) I1_17)) (not (tptp.p_LES_EQU_ tptp.n0 I1_17)) (not (tptp.p_LES_EQU_ I1_17 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (= Cindex_16 (tptp.f_SUB_ _let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13))) (not (tptp.p_LES_EQU_ tptp.n0 Cindex_16)) (not (tptp.p_LES_EQU_ Cindex_16 _let_1)) (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (let ((_let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) _let_1) (not (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ _let_1)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13)) (not (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ T_13 tptp.n1))) (not (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_22 $$unsorted) (I2_23 $$unsorted)) (or (= (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_13 tptp.n1)) I1_22) I2_23) (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ T_13) I1_22) I2_23)) (not (tptp.p_LES_EQU_ tptp.n0 I2_23)) (not (tptp.p_LES_EQU_ I2_23 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p_LES_EQU_ tptp.n0 I1_22)) (not (tptp.p_LES_EQU_ I1_22 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1))) (not (tptp.p_LES_EQU_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_31 $$unsorted)) (or (= (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_13 tptp.n1)) I1_31) (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ T_13) I1_31)) (not (tptp.p_LES_EQU_ tptp.n0 I1_31)) (not (tptp.p_LES_EQU_ I1_31 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fstd_DOTstandard_DOTmod_ (tptp.f_ADD_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13) tptp.n1) tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (let ((_let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) _let_1) (tptp.p_LES_EQU_ _let_1 tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fstd_DOTstandard_DOTmod_ (tptp.f_ADD_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13) tptp.n1) tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_)) (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_35 $$unsorted)) (or (= (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_13 tptp.n1)) I1_35) (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ T_13) (tptp.f_SUB_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1) (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13))) I1_35)) (not (tptp.p_LES_EQU_ tptp.n0 I1_35)) (not (tptp.p_LES_EQU_ I1_35 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13)) (not (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (let ((_let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.f_ADD_ _let_1 tptp.n1)) (not (tptp.p_LES_EQU_ _let_1 tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1))) (not (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_39 $$unsorted)) (or (= (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_13 tptp.n1)) I1_39) (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ T_13) I1_39)) (not (tptp.p_LES_EQU_ tptp.n0 I1_39)) (not (tptp.p_LES_EQU_ I1_39 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_43 $$unsorted)) (or (= (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.f_SUB_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1) (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13))) I1_43) (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__in_ T_13) I1_43)) (not (tptp.p_LES_EQU_ tptp.n0 I1_43)) (not (tptp.p_LES_EQU_ I1_43 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (Cindex_45 $$unsorted) (I1_46 $$unsorted)) (let ((_let_1 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1))) (or (= (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_13 tptp.n1)) Cindex_45) I1_46) (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ T_13) Cindex_45) I1_46)) (not (tptp.p_LES_EQU_ tptp.n0 I1_46)) (not (tptp.p_LES_EQU_ I1_46 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (= Cindex_45 (tptp.f_SUB_ _let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13))) (not (tptp.p_LES_EQU_ tptp.n0 Cindex_45)) (not (tptp.p_LES_EQU_ Cindex_45 _let_1)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTwr__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (let ((_let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.f_SUB_ _let_1 tptp.n1)) (tptp.p_LES_EQU_ _let_1 tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fstd_DOTstandard_DOTmod_ (tptp.f_ADD_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13) tptp.n1) tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_)) (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_53 $$unsorted)) (or (= (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_13 tptp.n1)) I1_53) (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ T_13) (tptp.f_SUB_ (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1) (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13))) I1_53)) (not (tptp.p_LES_EQU_ tptp.n0 I1_53)) (not (tptp.p_LES_EQU_ I1_53 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (let ((_let_1 (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13))) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) _let_1) (not (tptp.p_LES_EQU_ _let_1 tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13))))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13)) (not (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1))) (not (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_57 $$unsorted)) (or (= (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_13 tptp.n1)) I1_57) (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ T_13) I1_57)) (not (tptp.p_LES_EQU_ tptp.n0 I1_57)) (not (tptp.p_LES_EQU_ I1_57 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p_LES_EQU_ (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13) tptp.n0)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTint__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (= (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ (tptp.f_ADD_ T_13 tptp.n1)) (tptp.fwork_DOTfifo_DOTrtl_DOTrd__level_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ T_13))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd__error_ (tptp.f_ADD_ T_13 tptp.n1))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted) (I1_66 $$unsorted)) (or (= (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ (tptp.f_ADD_ T_13 tptp.n1)) I1_66) (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTdata__out_ T_13) I1_66)) (not (tptp.p_LES_EQU_ tptp.n0 I1_66)) (not (tptp.p_LES_EQU_ I1_66 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTrd_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((T_13 $$unsorted)) (or (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ T_13)) (not (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr__error_ (tptp.f_ADD_ T_13 tptp.n1)))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) _let_8 (forall ((T_13 $$unsorted) (I1_73 $$unsorted) (I2_74 $$unsorted)) (or (= (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ (tptp.f_ADD_ T_13 tptp.n1)) I1_73) I2_74) (tptp.f__index_ (tptp.f__index_ (tptp.fwork_DOTfifo_DOTrtl_DOTmem_ T_13) I1_73) I2_74)) (not (tptp.p_LES_EQU_ tptp.n0 I2_74)) (not (tptp.p_LES_EQU_ I2_74 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__width_ tptp.n1))) (not (tptp.p_LES_EQU_ tptp.n0 I1_73)) (not (tptp.p_LES_EQU_ I1_73 (tptp.f_SUB_ tptp.fwork_DOTfifo_DOTrtl_DOTfifo__length_ tptp.n1))) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTwr_ T_13)) (tptp.p__pred_ (tptp.fwork_DOTfifo_DOTrtl_DOTreset_ T_13)))) (forall ((X_80 $$unsorted)) (not (= (tptp.f_ADD_ X_80 tptp.n1) tptp.n0))) (forall ((X_81 $$unsorted)) (not (tptp.p_LES_EQU_ (tptp.f_ADD_ X_81 tptp.n1) tptp.n0))) (forall ((X_82 $$unsorted)) (or (not (tptp.p_LES_EQU_ X_82 (tptp.f_SUB_ X_82 tptp.n1))) (tptp.p_LES_EQU_ X_82 tptp.n0))) (forall ((Y_84 $$unsorted) (X_83 $$unsorted) (Z_85 $$unsorted)) (or (tptp.def_89 Y_84 X_83) (= (tptp.f_ADD_ Z_85 Y_84) X_83) (not (= (tptp.f_SUB_ X_83 Y_84) Z_85)))) (forall ((Y_84 $$unsorted) (X_83 $$unsorted) (Z_85 $$unsorted)) (or (tptp.def_89 Y_84 X_83) (not (= (tptp.f_ADD_ Z_85 Y_84) X_83)) (= (tptp.f_SUB_ X_83 Y_84) Z_85))) (forall ((X_83 $$unsorted) (Y_84 $$unsorted)) (or (not (= X_83 Y_84)) (not (tptp.def_89 Y_84 X_83)))) (forall ((X_83 $$unsorted) (Y_84 $$unsorted)) (or (tptp.p_LES_EQU_ X_83 Y_84) (not (tptp.def_89 Y_84 X_83)))) (forall ((Y_91 $$unsorted) (X_90 $$unsorted)) (or (not (tptp.p_LES_EQU_ (tptp.f_ADD_ Y_91 tptp.n1) (tptp.f_ADD_ X_90 tptp.n1))) (tptp.p_LES_EQU_ Y_91 X_90))) (forall ((Y_91 $$unsorted) (X_90 $$unsorted)) (or (tptp.p_LES_EQU_ (tptp.f_ADD_ Y_91 tptp.n1) (tptp.f_ADD_ X_90 tptp.n1)) (not (tptp.p_LES_EQU_ Y_91 X_90)))) (forall ((Y_93 $$unsorted) (X_92 $$unsorted)) (or (= Y_93 X_92) (not (tptp.p_LES_EQU_ X_92 Y_93)) (tptp.p_LES_EQU_ (tptp.f_ADD_ X_92 tptp.n1) Y_93))) (forall ((X_94 $$unsorted) (Y_95 $$unsorted)) (or (not (tptp.p_LES_EQU_ X_94 Y_95)) (= X_94 Y_95) (tptp.p_LES_EQU_ (tptp.f_ADD_ X_94 tptp.n1) Y_95))) (forall ((X_96 $$unsorted) (Y_97 $$unsorted)) (or (= X_96 Y_97) (not (tptp.p_LES_EQU_ X_96 Y_97)) (not (tptp.p_LES_EQU_ Y_97 X_96)))) (forall ((Z_100 $$unsorted) (X_98 $$unsorted) (Y_99 $$unsorted)) (or (not (tptp.p_LES_EQU_ Z_100 X_98)) (tptp.p_LES_EQU_ Y_99 X_98) (tptp.p_LES_EQU_ Z_100 Y_99))) (forall ((X_101 $$unsorted) (Y_102 $$unsorted)) (let ((_let_1 (tptp.f_ADD_ X_101 tptp.n1))) (or (= _let_1 Y_102) (not (tptp.p_LES_EQU_ Y_102 _let_1)) (tptp.p_LES_EQU_ Y_102 X_101)))) (forall ((X_103 $$unsorted)) (or (not (tptp.p_LES_EQU_ X_103 tptp.n0)) (= X_103 tptp.n0))) (forall ((X_104 $$unsorted)) (or (= X_104 (tptp.f_ADD_ (tptp.y_105 X_104) tptp.n1)) (= X_104 tptp.n0))) (forall ((X_106 $$unsorted)) (tptp.p_LES_EQU_ X_106 X_106)) (forall ((X_107 $$unsorted) (Y_108 $$unsorted)) (or (= X_107 Y_108) (not (= (tptp.f_ADD_ X_107 tptp.n1) (tptp.f_ADD_ Y_108 tptp.n1))))) (forall ((X_109 $$unsorted)) (= (tptp.f_ADD_ tptp.n0 X_109) X_109)) (= tptp.n1 (tptp.f_ADD_ tptp.n0 tptp.n1)) (forall ((X_110 $$unsorted) (Xs_111 $$unsorted)) (= (tptp.f__length_ (tptp.f__cons_ X_110 Xs_111)) (tptp.f_ADD_ (tptp.f__length_ Xs_111) tptp.n1))) (= (tptp.f__length_ tptp.f__empty_) tptp.n0) (forall ((A_112 $$unsorted) (B_113 $$unsorted)) (= (tptp.f__length_ (tptp.f__concat_ A_112 B_113)) (tptp.f_ADD_ (tptp.f__length_ A_112) (tptp.f__length_ B_113)))) (forall ((A_114 $$unsorted) (I1_115 $$unsorted) (I2_116 $$unsorted)) (= (tptp.f__length_ (tptp.f__slice_ A_114 I1_115 I2_116)) (tptp.f_SUB_ I2_116 (tptp.f_ADD_ I1_115 tptp.n1)))) (forall ((E_117 $$unsorted) (I_118 $$unsorted)) (= (tptp.f__index_ (tptp.f__others_ E_117) I_118) E_117)) (forall ((I_119 $$unsorted) (X_120 $$unsorted) (Xs_121 $$unsorted)) (or (not (= I_119 tptp.n0)) (= (tptp.f__index_ (tptp.f__cons_ X_120 Xs_121) I_119) X_120))) (forall ((I_122 $$unsorted) (X_123 $$unsorted) (Xs_124 $$unsorted)) (or (tptp.p_LES_EQU_ I_122 tptp.n0) (= (tptp.f__index_ (tptp.f__cons_ X_123 Xs_124) I_122) (tptp.f__index_ Xs_124 (tptp.f_SUB_ I_122 tptp.n1))))) (forall ((A_126 $$unsorted) (I_125 $$unsorted) (B_127 $$unsorted)) (or (tptp.p_LES_EQU_ (tptp.length A_126) I_125) (= (tptp.f__index_ (tptp.f__concat_ A_126 B_127) I_125) (tptp.f__index_ A_126 I_125)))) (forall ((A_129 $$unsorted) (I_128 $$unsorted) (B_130 $$unsorted)) (let ((_let_1 (tptp.length A_129))) (or (not (tptp.p_LES_EQU_ _let_1 I_128)) (= (tptp.f__index_ (tptp.f__concat_ A_129 B_130) I_128) (tptp.f__index_ B_130 (tptp.f_SUB_ I_128 _let_1)))))) (forall ((A_131 $$unsorted) (I1_132 $$unsorted) (I2_133 $$unsorted) (I_134 $$unsorted)) (= (tptp.f__index_ (tptp.f__slice_ A_131 I1_132 I2_133) I_134) (tptp.f__index_ A_131 (tptp.f_ADD_ I_134 I1_132)))) (forall ((A_135 $$unsorted) (B_136 $$unsorted) (X_137 $$unsorted)) (= (tptp.f__index_ (tptp.f__and_ A_135 B_136) X_137) (tptp.f__and_ (tptp.f__index_ A_135 X_137) (tptp.f__index_ B_136 X_137)))) (forall ((A_138 $$unsorted) (B_139 $$unsorted) (X_140 $$unsorted)) (= (tptp.f__index_ (tptp.f__or_ A_138 B_139) X_140) (tptp.f__or_ (tptp.f__index_ A_138 X_140) (tptp.f__index_ B_139 X_140)))) (forall ((A_141 $$unsorted) (B_142 $$unsorted) (X_143 $$unsorted)) (= (tptp.f__index_ (tptp.f__xor_ A_141 B_142) X_143) (tptp.f__xor_ (tptp.f__index_ A_141 X_143) (tptp.f__index_ B_142 X_143)))) (forall ((A_144 $$unsorted) (B_145 $$unsorted) (X_146 $$unsorted)) (= (tptp.f__index_ (tptp.f__nand_ A_144 B_145) X_146) (tptp.f__nand_ (tptp.f__index_ A_144 X_146) (tptp.f__index_ B_145 X_146)))) (forall ((A_147 $$unsorted) (B_148 $$unsorted) (X_149 $$unsorted)) (= (tptp.f__index_ (tptp.f__nor_ A_147 B_148) X_149) (tptp.f__nor_ (tptp.f__index_ A_147 X_149) (tptp.f__index_ B_148 X_149)))) (forall ((A_150 $$unsorted) (B_151 $$unsorted) (X_152 $$unsorted)) (= (tptp.f__index_ (tptp.f__xnor_ A_150 B_151) X_152) (tptp.f__xnor_ (tptp.f__index_ A_150 X_152) (tptp.f__index_ B_151 X_152)))) (forall ((A_153 $$unsorted) (X_154 $$unsorted)) (= (tptp.f__index_ (tptp.f__not_ A_153) X_154) (tptp.f__not_ (tptp.f__index_ A_153 X_154)))) (tptp.p__pred_ tptp.f__true_) (not (tptp.p__pred_ tptp.f__false_)) (not (= tptp.f__false_ tptp.f__true_)) (forall ((B_156 $$unsorted) (A_155 $$unsorted)) (or (tptp.p__pred_ B_156) (not (tptp.p__pred_ A_155)) (not (tptp.p__pred_ (tptp.f__equiv_ A_155 B_156))))) (forall ((B_156 $$unsorted) (A_155 $$unsorted)) (or (not (tptp.p__pred_ B_156)) (tptp.p__pred_ A_155) (not (tptp.p__pred_ (tptp.f__equiv_ A_155 B_156))))) (forall ((B_156 $$unsorted) (A_155 $$unsorted)) (or (not (tptp.p__pred_ B_156)) (not (tptp.p__pred_ A_155)) (tptp.p__pred_ (tptp.f__equiv_ A_155 B_156)))) (forall ((B_156 $$unsorted) (A_155 $$unsorted)) (or (tptp.p__pred_ B_156) (tptp.p__pred_ A_155) (tptp.p__pred_ (tptp.f__equiv_ A_155 B_156)))) (forall ((A_163 $$unsorted) (B_164 $$unsorted)) (or (= A_163 B_164) (not (tptp.p__pred_ (tptp.f__equal_ A_163 B_164))))) (forall ((A_163 $$unsorted) (B_164 $$unsorted)) (or (not (= A_163 B_164)) (tptp.p__pred_ (tptp.f__equal_ A_163 B_164)))) (forall ((B_166 $$unsorted) (A_165 $$unsorted)) (or (tptp.p__pred_ B_166) (not (tptp.p__pred_ (tptp.f__and_ A_165 B_166))))) (forall ((A_165 $$unsorted) (B_166 $$unsorted)) (or (tptp.p__pred_ A_165) (not (tptp.p__pred_ (tptp.f__and_ A_165 B_166))))) (forall ((A_165 $$unsorted) (B_166 $$unsorted)) (or (not (tptp.p__pred_ A_165)) (not (tptp.p__pred_ B_166)) (tptp.p__pred_ (tptp.f__and_ A_165 B_166)))) (forall ((A_169 $$unsorted) (B_170 $$unsorted)) (or (tptp.p__pred_ A_169) (tptp.p__pred_ B_170) (not (tptp.p__pred_ (tptp.f__or_ A_169 B_170))))) (forall ((B_170 $$unsorted) (A_169 $$unsorted)) (or (not (tptp.p__pred_ B_170)) (tptp.p__pred_ (tptp.f__or_ A_169 B_170)))) (forall ((A_169 $$unsorted) (B_170 $$unsorted)) (or (not (tptp.p__pred_ A_169)) (tptp.p__pred_ (tptp.f__or_ A_169 B_170)))) (forall ((B_174 $$unsorted) (A_173 $$unsorted)) (or (not (tptp.p__pred_ B_174)) (not (tptp.p__pred_ A_173)) (not (tptp.p__pred_ (tptp.f__xor_ A_173 B_174))))) (forall ((B_174 $$unsorted) (A_173 $$unsorted)) (or (tptp.p__pred_ B_174) (tptp.p__pred_ A_173) (not (tptp.p__pred_ (tptp.f__xor_ A_173 B_174))))) (forall ((B_174 $$unsorted) (A_173 $$unsorted)) (or (tptp.p__pred_ B_174) (not (tptp.p__pred_ A_173)) (tptp.p__pred_ (tptp.f__xor_ A_173 B_174)))) (forall ((B_174 $$unsorted) (A_173 $$unsorted)) (or (not (tptp.p__pred_ B_174)) (tptp.p__pred_ A_173) (tptp.p__pred_ (tptp.f__xor_ A_173 B_174)))) (forall ((A_181 $$unsorted) (B_182 $$unsorted)) (or (not (tptp.p__pred_ A_181)) (not (tptp.p__pred_ B_182)) (not (tptp.p__pred_ (tptp.f__nand_ A_181 B_182))))) (forall ((B_182 $$unsorted) (A_181 $$unsorted)) (or (tptp.p__pred_ B_182) (tptp.p__pred_ (tptp.f__nand_ A_181 B_182)))) (forall ((A_181 $$unsorted) (B_182 $$unsorted)) (or (tptp.p__pred_ A_181) (tptp.p__pred_ (tptp.f__nand_ A_181 B_182)))) (forall ((B_186 $$unsorted) (A_185 $$unsorted)) (or (not (tptp.p__pred_ B_186)) (not (tptp.p__pred_ (tptp.f__nor_ A_185 B_186))))) (forall ((A_185 $$unsorted) (B_186 $$unsorted)) (or (not (tptp.p__pred_ A_185)) (not (tptp.p__pred_ (tptp.f__nor_ A_185 B_186))))) (forall ((A_185 $$unsorted) (B_186 $$unsorted)) (or (tptp.p__pred_ A_185) (tptp.p__pred_ B_186) (tptp.p__pred_ (tptp.f__nor_ A_185 B_186)))) (forall ((B_190 $$unsorted) (A_189 $$unsorted)) (or (tptp.p__pred_ B_190) (not (tptp.p__pred_ A_189)) (not (tptp.p__pred_ (tptp.f__xnor_ A_189 B_190))))) (forall ((B_190 $$unsorted) (A_189 $$unsorted)) (or (not (tptp.p__pred_ B_190)) (tptp.p__pred_ A_189) (not (tptp.p__pred_ (tptp.f__xnor_ A_189 B_190))))) (forall ((B_190 $$unsorted) (A_189 $$unsorted)) (or (not (tptp.p__pred_ B_190)) (not (tptp.p__pred_ A_189)) (tptp.p__pred_ (tptp.f__xnor_ A_189 B_190)))) (forall ((B_190 $$unsorted) (A_189 $$unsorted)) (or (tptp.p__pred_ B_190) (tptp.p__pred_ A_189) (tptp.p__pred_ (tptp.f__xnor_ A_189 B_190)))) (forall ((A_197 $$unsorted)) (or (not (tptp.p__pred_ A_197)) (not (tptp.p__pred_ (tptp.f__not_ A_197))))) (forall ((A_197 $$unsorted)) (or (tptp.p__pred_ A_197) (tptp.p__pred_ (tptp.f__not_ A_197)))) (forall ((B_199 $$unsorted) (A_198 $$unsorted)) (or (not (tptp.p_LES_EQU_ B_199 A_198)) (not (tptp.p__pred_ (tptp.f__lt_ A_198 B_199))))) (forall ((B_199 $$unsorted) (A_198 $$unsorted)) (or (tptp.p_LES_EQU_ B_199 A_198) (tptp.p__pred_ (tptp.f__lt_ A_198 B_199)))) (forall ((A_200 $$unsorted) (B_201 $$unsorted)) (or (tptp.p_LES_EQU_ A_200 B_201) (not (tptp.p__pred_ (tptp.f__leq_ A_200 B_201))))) (forall ((A_200 $$unsorted) (B_201 $$unsorted)) (or (not (tptp.p_LES_EQU_ A_200 B_201)) (tptp.p__pred_ (tptp.f__leq_ A_200 B_201)))) (forall ((A_202 $$unsorted) (B_203 $$unsorted)) (or (not (tptp.p_LES_EQU_ A_202 B_203)) (not (tptp.p__pred_ (tptp.f__gt_ A_202 B_203))))) (forall ((A_202 $$unsorted) (B_203 $$unsorted)) (or (tptp.p_LES_EQU_ A_202 B_203) (tptp.p__pred_ (tptp.f__gt_ A_202 B_203)))) (forall ((B_205 $$unsorted) (A_204 $$unsorted)) (or (tptp.p_LES_EQU_ B_205 A_204) (not (tptp.p__pred_ (tptp.f__geq_ A_204 B_205))))) (forall ((B_205 $$unsorted) (A_204 $$unsorted)) (or (not (tptp.p_LES_EQU_ B_205 A_204)) (tptp.p__pred_ (tptp.f__geq_ A_204 B_205)))) _let_7 _let_5 _let_3 _let_1))))))))))))))))
% 0.18/0.56  )
% 0.18/0.56  % SZS output end Proof for HWV026-2
% 0.18/0.57  % cvc5---1.0.5 exiting
% 0.18/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------