TSTP Solution File: HWV022-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HWV022-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 02:07:13 EDT 2023

% Result   : Unsatisfiable 0.57s 0.77s
% Output   : Proof 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : HWV022-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 15:03:22 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Q5Q8ocxjrh/cvc5---1.0.5_16945.p...
% 0.20/0.51  ------- get file name : TPTP file name is HWV022-1
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16945.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.57/0.77  % SZS status Unsatisfiable for HWV022-1
% 0.57/0.77  % SZS output start Proof for HWV022-1
% 0.57/0.78  (
% 0.57/0.78  (let ((_let_1 (tptp.plus tptp.t_139 tptp.n1))) (let ((_let_2 (tptp.level _let_1))) (let ((_let_3 (not (= _let_2 tptp.fifo_length)))) (let ((_let_4 (tptp.p_Reset tptp.t_139))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p_Wr tptp.t_139))) (let ((_let_7 (tptp.p_Rd tptp.t_139))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.level tptp.t_139))) (let ((_let_10 (tptp.plus _let_9 tptp.n1))) (let ((_let_11 (= _let_10 tptp.fifo_length))) (let ((_let_12 (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.int_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length _let_1)) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))))) (let ((_let_13 (forall ((X_t_32 $$unsorted)) (= (tptp.level X_t_32) (tptp.int_level X_t_32))))) (let ((_let_14 (tptp.plus tptp.n0 tptp.n1))) (let ((_let_15 (= tptp.n1 _let_14))) (let ((_let_16 (forall ((Y_24 $$unsorted) (X_23 $$unsorted)) (let ((_let_1 (tptp.plus X_23 tptp.n1))) (or (not (tptp.gt Y_24 X_23)) (= _let_1 Y_24) (tptp.gt Y_24 _let_1)))))) (let ((_let_17 (forall ((Y_4 $$unsorted) (X_3 $$unsorted)) (or (not (tptp.def_10 Y_4 X_3)) (not (= X_3 Y_4)))))) (let ((_let_18 (forall ((Y_4 $$unsorted) (X_3 $$unsorted)) (or (not (tptp.def_10 Y_4 X_3)) (not (tptp.gt X_3 Y_4)))))) (let ((_let_19 (forall ((X_3 $$unsorted) (Y_4 $$unsorted) (Z_5 $$unsorted)) (or (= (tptp.minus X_3 Y_4) Z_5) (not (= (tptp.plus Z_5 Y_4) X_3)) (tptp.def_10 Y_4 X_3))))) (let ((_let_20 (forall ((X_2 $$unsorted)) (or (not (tptp.gt X_2 tptp.n0)) (tptp.gt X_2 (tptp.minus X_2 tptp.n1)))))) (let ((_let_21 (forall ((X_1 $$unsorted)) (tptp.gt (tptp.plus X_1 tptp.n1) tptp.n0)))) (let ((_let_22 (= tptp.fifo_length _let_10))) (let ((_let_23 (tptp.def_10 _let_14 _let_14))) (let ((_let_24 (tptp.def_10 tptp.n1 _let_10))) (let ((_let_25 (= _let_14 tptp.fifo_length))) (let ((_let_26 (ASSUME :args (_let_15)))) (let ((_let_27 (SYMM (ASSUME :args (_let_11))))) (let ((_let_28 (forall ((X_3 $$unsorted)) (not (tptp.def_10 X_3 X_3))))) (let ((_let_29 (not _let_23))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.minus _let_10 tptp.n1))) (let ((_let_32 (= _let_9 _let_31))) (let ((_let_33 (or _let_32 _let_24))) (let ((_let_34 (forall ((Y_4 $$unsorted) (Z_5 $$unsorted)) (let ((_let_1 (tptp.plus Z_5 Y_4))) (or (= Z_5 (tptp.minus _let_1 Y_4)) (tptp.def_10 Y_4 _let_1)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.gt _let_10 _let_31))) (let ((_let_37 (tptp.int_level tptp.t_139))) (let ((_let_38 (= _let_9 _let_37))) (let ((_let_39 (tptp.gt tptp.fifo_length _let_37))) (let ((_let_40 (not _let_32))) (let ((_let_41 (tptp.gt _let_10 tptp.n0))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_36))) (let ((_let_44 (_let_20))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (_let_21))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_1 tptp.n1)))) :args _let_46)) _let_47 :args (_let_41 false _let_21)))) (let ((_let_49 (_let_13))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.level X_t_32)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.t_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_38 false _let_13)))) (let ((_let_53 (tptp.int_level _let_1))) (let ((_let_54 (= _let_53 (tptp.plus _let_37 tptp.n1)))) (let ((_let_55 (not _let_39))) (let ((_let_56 (not _let_6))) (let ((_let_57 (or _let_4 _let_56 _let_7 _let_55 _let_54))) (let ((_let_58 (_let_12))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (= _let_2 _let_53))) (let ((_let_61 (= tptp.fifo_length _let_2))) (let ((_let_62 (not _let_54))) (let ((_let_63 (not _let_38))) (let ((_let_64 (not _let_22))) (let ((_let_65 (and _let_22 _let_38 _let_60 _let_54))) (let ((_let_66 (ASSUME :args (_let_60)))) (let ((_let_67 (ASSUME :args (_let_54)))) (let ((_let_68 (ASSUME :args (_let_38)))) (let ((_let_69 (SYMM (SYMM _let_68)))) (let ((_let_70 (SYMM _let_27))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (not _let_36))) (let ((_let_73 (or))) (let ((_let_74 (REFL :args (_let_64)))) (let ((_let_75 (ASSUME :args (_let_55)))) (let ((_let_76 (APPLY_UF tptp.gt))) (let ((_let_77 (ASSUME :args (_let_32)))) (let ((_let_78 (ASSUME :args (_let_36)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_24 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_75 _let_27 _let_68 _let_77 _let_78) :args (_let_22 _let_32 _let_38 _let_55 _let_36)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_78)) (CONG _let_70 (TRANS (SYMM _let_77) _let_69) :args _let_76) (FALSE_INTRO _let_75))) :args (_let_55 _let_22 _let_38 _let_32 _let_36)) :args ((not (and _let_22 _let_32 _let_38 _let_55 _let_36)) SB_LITERAL))) (CONG _let_74 (REFL :args (_let_40)) (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_39))) (REFL :args (_let_72)) :args _let_73)) :args ((or _let_64 _let_39 _let_40 _let_63 _let_72))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_7 _let_4 _let_56 _let_55 _let_54 (not _let_57)))) (ASSUME :args (_let_8)) (ASSUME :args (_let_5)) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_65)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_66 _let_67 _let_68 _let_27) (SCOPE (TRANS _let_71 (CONG _let_69 (REFL :args (tptp.n1)) :args (APPLY_UF tptp.plus)) (SYMM _let_67) (SYMM _let_66)) :args (_let_60 _let_54 _let_38 _let_22))) :args (_let_22 _let_38 _let_60 _let_54))) :args (true _let_65)) :args ((or _let_61 _let_64 _let_63 (not _let_60) _let_62))) (SYMM (ASSUME :args (_let_3))) _let_27 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_60 false _let_13)) :args (_let_62 true _let_61 false _let_22 false _let_38 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.t_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p_Reset X_t_42) true))))) :args _let_58)) _let_59 :args (_let_57 false _let_12)) :args (_let_55 true _let_7 true _let_4 false _let_6 true _let_54 false _let_57)) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_36 (not _let_43)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X_2 tptp.n0) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_20)) :args (_let_36 false _let_41 false _let_43)) :args (_let_40 false _let_22 true _let_39 false _let_38 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.n1 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus Z_5 Y_4)))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_24 true _let_32 false _let_33)))) (let ((_let_80 (tptp.gt tptp.fifo_length _let_14))) (let ((_let_81 (tptp.gt tptp.fifo_length tptp.n0))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_25 _let_80))) (let ((_let_84 (forall ((Y_24 $$unsorted) (X_23 $$unsorted)) (let ((_let_1 (tptp.plus X_23 tptp.n1))) (or (not (tptp.gt Y_24 X_23)) (= Y_24 _let_1) (tptp.gt Y_24 _let_1)))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (tptp.gt _let_10 tptp.n1))) (let ((_let_87 (not _let_80))) (let ((_let_88 (not _let_86))) (let ((_let_89 (not _let_24))) (let ((_let_90 (or _let_89 _let_88))) (let ((_let_91 (_let_18))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (REFL :args ((not _let_15))))) (let ((_let_94 (and _let_15 _let_22 _let_88))) (let ((_let_95 (ASSUME :args (_let_88)))) (let ((_let_96 (SYMM _let_26))) (let ((_let_97 (and _let_22 _let_41))) (let ((_let_98 (ASSUME :args (_let_41)))) (let ((_let_99 (ASSUME :args (_let_24)))) (let ((_let_100 (ASSUME :args (_let_25)))) (let ((_let_101 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_99 _let_26 _let_27 _let_100 _let_101) :args (_let_15 _let_22 _let_24 _let_29 _let_25)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_101)) (CONG _let_96 (TRANS (SYMM (SYMM _let_100)) _let_71) :args (APPLY_UF tptp.def_10)) (TRUE_INTRO _let_99))) :args (_let_24 _let_15 _let_22 _let_25 _let_29)) :args ((not (and _let_15 _let_22 _let_24 _let_29 _let_25)) SB_LITERAL))) (CONG _let_93 _let_74 (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_23))) (REFL :args ((not _let_25))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_80 _let_25 (not _let_83)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_27) (SCOPE (TRUE_ELIM (TRANS (CONG _let_71 (REFL :args (tptp.n0)) :args _let_76) (TRUE_INTRO _let_98))) :args (_let_41 _let_22))) :args (_let_22 _let_41))) :args (true _let_97)) _let_27 _let_48 :args (_let_81 false _let_22 false _let_41)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_27 _let_26) (SCOPE (FALSE_ELIM (TRANS (CONG _let_71 _let_96 :args _let_76) (FALSE_INTRO _let_95))) :args (_let_88 _let_22 _let_15))) :args (_let_15 _let_22 _let_88))) :args (true _let_94)) (CONG _let_93 _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_86))) (REFL :args (_let_87)) :args _let_73)) _let_26 _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_88 (not _let_90)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.n1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.def_10 Y_4 X_3) false))))) :args _let_91)) _let_92 :args (_let_90 false _let_18)) :args (_let_88 false _let_24 false _let_90)) :args (_let_87 false _let_15 false _let_22 true _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.fifo_length tptp.n0 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.gt Y_24 (tptp.plus X_23 tptp.n1)) true))))) :args (_let_84)))) _let_85 :args (_let_83 false _let_84)) :args (_let_25 false _let_81 true _let_80 false _let_83)) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.def_10 X_3 X_3) false))))) :args (_let_28))) _let_30 :args (_let_29 false _let_28)) _let_27 _let_26 :args (false false _let_25 false _let_24 true _let_23 false _let_22 false _let_15)) :args ((forall ((X_0 $$unsorted)) (not (= (tptp.plus X_0 tptp.n1) tptp.n0))) _let_21 _let_20 (forall ((X_3 $$unsorted) (Y_4 $$unsorted) (Z_5 $$unsorted)) (or (not (= (tptp.minus X_3 Y_4) Z_5)) (= (tptp.plus Z_5 Y_4) X_3) (tptp.def_10 Y_4 X_3))) _let_19 _let_18 _let_17 (forall ((Y_12 $$unsorted) (X_11 $$unsorted)) (or (not (tptp.gt Y_12 X_11)) (tptp.gt (tptp.plus Y_12 tptp.n1) (tptp.plus X_11 tptp.n1)))) (forall ((Y_12 $$unsorted) (X_11 $$unsorted)) (or (tptp.gt Y_12 X_11) (not (tptp.gt (tptp.plus Y_12 tptp.n1) (tptp.plus X_11 tptp.n1))))) (forall ((X_13 $$unsorted) (Y_14 $$unsorted)) (or (tptp.gt X_13 Y_14) (not (tptp.gt (tptp.plus X_13 tptp.n1) Y_14)) (= Y_14 X_13))) (forall ((X_15 $$unsorted) (Y_16 $$unsorted)) (or (not (tptp.gt (tptp.plus X_15 tptp.n1) Y_16)) (tptp.gt X_15 Y_16) (= X_15 Y_16))) (forall ((Y_18 $$unsorted) (X_17 $$unsorted)) (or (tptp.gt Y_18 X_17) (= X_17 Y_18) (tptp.gt X_17 Y_18))) (forall ((Z_21 $$unsorted) (Y_20 $$unsorted) (X_19 $$unsorted)) (or (not (tptp.gt Z_21 Y_20)) (tptp.gt Z_21 X_19) (not (tptp.gt Y_20 X_19)))) _let_16 (forall ((X_25 $$unsorted)) (or (= X_25 tptp.n0) (tptp.gt X_25 tptp.n0))) (forall ((X_26 $$unsorted)) (or (= X_26 tptp.n0) (= X_26 (tptp.plus (tptp.y_27 X_26) tptp.n1)))) (forall ((X_28 $$unsorted)) (not (tptp.gt X_28 X_28))) (forall ((X_29 $$unsorted) (Y_30 $$unsorted)) (or (not (= (tptp.plus X_29 tptp.n1) (tptp.plus Y_30 tptp.n1))) (= X_29 Y_30))) (forall ((X_31 $$unsorted)) (= (tptp.plus tptp.n0 X_31) X_31)) _let_15 _let_13 (forall ((X_t_33 $$unsorted)) (or (not (= (tptp.int_level X_t_33) tptp.fifo_length)) (tptp.p_Full X_t_33))) (forall ((X_t_34 $$unsorted)) (or (= (tptp.int_level X_t_34) tptp.fifo_length) (not (tptp.p_Full X_t_34)))) (forall ((X_t_35 $$unsorted)) (or (not (= (tptp.int_level X_t_35) tptp.n0)) (tptp.p_Empty X_t_35))) (forall ((X_t_36 $$unsorted)) (or (= (tptp.int_level X_t_36) tptp.n0) (not (tptp.p_Empty X_t_36)))) (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (= (tptp.int_level (tptp.plus X_t_37 tptp.n1)) tptp.n0))) (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (= (tptp.wr_level (tptp.plus X_t_37 tptp.n1)) tptp.n0))) (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (= (tptp.rd_level (tptp.plus X_t_37 tptp.n1)) tptp.n0))) (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (not (tptp.p_Wr_error (tptp.plus X_t_37 tptp.n1))))) (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (not (tptp.p_Rd_error (tptp.plus X_t_37 tptp.n1))))) (forall ((X_t_37 $$unsorted) (X_k1_38 $$unsorted) (X_k2_39 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (not (tptp.p_Mem X_k1_38 X_k2_39 (tptp.plus X_t_37 tptp.n1))))) (forall ((X_t_37 $$unsorted) (X_k1_40 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (not (tptp.p_Data_out X_k1_40 (tptp.plus X_t_37 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) (tptp.rd_level X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (not (tptp.p_Wr_error (tptp.plus X_t_42 tptp.n1))))) _let_12 (forall ((X_t_42 $$unsorted) (X_k1_43 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (not (tptp.p_Mem (tptp.wr_level X_t_42) X_k1_43 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Data_in X_k1_43 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_43 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (tptp.p_Mem (tptp.wr_level X_t_42) X_k1_43 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Data_in X_k1_43 X_t_42)))) (forall ((X_t_42 $$unsorted) (X_c1_47 $$unsorted) (X_k1_48 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (= X_c1_47 (tptp.wr_level X_t_42)) (not (tptp.p_Mem X_c1_47 X_k1_48 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Mem X_c1_47 X_k1_48 X_t_42))) (forall ((X_t_42 $$unsorted) (X_c1_47 $$unsorted) (X_k1_48 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (= X_c1_47 (tptp.wr_level X_t_42)) (tptp.p_Mem X_c1_47 X_k1_48 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem X_c1_47 X_k1_48 X_t_42)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.wr_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (not (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) _let_1)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) (tptp.wr_level X_t_42)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) tptp.n0))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.gt tptp.fifo_length (tptp.int_level X_t_42)) (tptp.p_Wr_error (tptp.plus X_t_42 tptp.n1)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.gt tptp.fifo_length (tptp.int_level X_t_42)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) (tptp.wr_level X_t_42)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.int_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.gt tptp.fifo_length _let_1) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) _let_1)))) (forall ((X_t_42 $$unsorted) (X_k1_57 $$unsorted) (X_k2_58 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.gt tptp.fifo_length (tptp.int_level X_t_42)) (not (tptp.p_Mem X_k1_57 X_k2_58 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Mem X_k1_57 X_k2_58 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_57 $$unsorted) (X_k2_58 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.gt tptp.fifo_length (tptp.int_level X_t_42)) (tptp.p_Mem X_k1_57 X_k2_58 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem X_k1_57 X_k2_58 X_t_42)))) (forall ((X_t_42 $$unsorted) (X_k1_64 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.p_Data_out X_k1_64 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Data_out X_k1_64 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_64 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.p_Data_out X_k1_64 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Data_out X_k1_64 X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1))) (tptp.p_Rd_error X_t_42))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Rd_error X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.p_Wr_error (tptp.plus X_t_42 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (not (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.int_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt _let_1 tptp.n0)) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) _let_1)))) (forall ((X_t_42 $$unsorted) (X_k1_73 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (not (tptp.p_Data_out X_k1_73 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Mem (tptp.rd_level X_t_42) X_k1_73 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_73 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (tptp.p_Data_out X_k1_73 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem (tptp.rd_level X_t_42) X_k1_73 X_t_42)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.rd_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (not (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) _let_1)) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) (tptp.rd_level X_t_42)) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) tptp.n0))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.int_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt _let_1 tptp.n0) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) (tptp.rd_level X_t_42)))) (forall ((X_t_42 $$unsorted) (X_k1_81 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (not (tptp.p_Data_out X_k1_81 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Data_out X_k1_81 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_81 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (tptp.p_Data_out X_k1_81 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Data_out X_k1_81 X_t_42)))) (forall ((X_t_42 $$unsorted) (X_k1_87 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.p_Mem (tptp.wr_level X_t_42) X_k1_87 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Data_in X_k1_87 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_87 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.p_Mem (tptp.wr_level X_t_42) X_k1_87 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Data_in X_k1_87 X_t_42)))) (forall ((X_t_42 $$unsorted) (X_c1_91 $$unsorted) (X_k1_92 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (= X_c1_91 (tptp.wr_level X_t_42)) (not (tptp.p_Mem X_c1_91 X_k1_92 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Mem X_c1_91 X_k1_92 X_t_42))) (forall ((X_t_42 $$unsorted) (X_c1_91 $$unsorted) (X_k1_92 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (= X_c1_91 (tptp.wr_level X_t_42)) (tptp.p_Mem X_c1_91 X_k1_92 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem X_c1_91 X_k1_92 X_t_42)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.wr_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) _let_1)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) (tptp.wr_level X_t_42)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) tptp.n0))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) (tptp.wr_level X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (not (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.int_level X_t_42))) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (not (tptp.gt _let_1 tptp.n0)) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) (tptp.minus _let_1 tptp.n1))))) (forall ((X_t_42 $$unsorted) (X_k1_103 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (not (tptp.p_Data_out X_k1_103 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Mem (tptp.rd_level X_t_42) X_k1_103 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_103 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (tptp.p_Data_out X_k1_103 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem (tptp.rd_level X_t_42) X_k1_103 X_t_42)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.rd_level X_t_42))) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (not (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) _let_1)) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.int_level X_t_42) tptp.n0)) (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) (tptp.rd_level X_t_42)) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) tptp.n0))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) (tptp.rd_level X_t_42)))) (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.int_level X_t_42))) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (tptp.gt _let_1 tptp.n0) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) _let_1)))) (forall ((X_t_42 $$unsorted) (X_k1_111 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (not (tptp.p_Data_out X_k1_111 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Data_out X_k1_111 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_111 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.int_level X_t_42) tptp.n0) (tptp.p_Data_out X_k1_111 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Data_out X_k1_111 X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Rd X_t_42) (= (tptp.rd_level (tptp.plus X_t_42 tptp.n1)) (tptp.rd_level X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Rd X_t_42) (= (tptp.int_level (tptp.plus X_t_42 tptp.n1)) (tptp.int_level X_t_42)))) (forall ((X_t_42 $$unsorted) (X_k1_119 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Rd X_t_42) (not (tptp.p_Data_out X_k1_119 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Data_out X_k1_119 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_119 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Rd X_t_42) (tptp.p_Data_out X_k1_119 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Data_out X_k1_119 X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Rd X_t_42) (not (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1))) (tptp.p_Rd_error X_t_42))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Rd X_t_42) (tptp.p_Rd_error (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Rd_error X_t_42)))) (forall ((X_t_42 $$unsorted) (X_k1_128 $$unsorted) (X_k2_129 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Mem X_k1_128 X_k2_129 (tptp.plus X_t_42 tptp.n1))) (tptp.p_Mem X_k1_128 X_k2_129 X_t_42))) (forall ((X_t_42 $$unsorted) (X_k1_128 $$unsorted) (X_k2_129 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Mem X_k1_128 X_k2_129 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem X_k1_128 X_k2_129 X_t_42)))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (not (tptp.p_Wr_error (tptp.plus X_t_42 tptp.n1))) (tptp.p_Wr_error X_t_42))) (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (tptp.p_Wr_error (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Wr_error X_t_42)))) _let_11 _let_8 _let_6 _let_5 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.57/0.78  )
% 0.57/0.78  % SZS output end Proof for HWV022-1
% 0.57/0.78  % cvc5---1.0.5 exiting
% 0.57/0.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------