TSTP Solution File: HWV031-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HWV031-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 02:07:18 EDT 2023
% Result : Unsatisfiable 0.77s 0.99s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : HWV031-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 15:39:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9vDwGHEbxY/cvc5---1.0.5_29260.p...
% 0.20/0.52 ------- get file name : TPTP file name is HWV031-1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29260.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.77/0.99 % SZS status Unsatisfiable for HWV031-1
% 0.77/0.99 % SZS output start Proof for HWV031-1
% 0.80/0.99 (
% 0.80/0.99 (let ((_let_1 (tptp.gt tptp.fifo_length tptp.n0))) (let ((_let_2 (tptp.wr_level (tptp.plus tptp.x_139 tptp.n1)))) (let ((_let_3 (tptp.gt (tptp.plus _let_2 tptp.n1) tptp.fifo_length))) (let ((_let_4 (tptp.wr_level tptp.x_139))) (let ((_let_5 (tptp.plus _let_4 tptp.n1))) (let ((_let_6 (tptp.gt _let_5 tptp.fifo_length))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (tptp.p_Wr X_t_42) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) (tptp.wr_level X_t_42)))))) (let ((_let_9 (forall ((X_t_42 $$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))))) (let ((_let_10 (forall ((X_t_42 $$unsorted)) (let ((_let_1 (tptp.wr_level X_t_42))) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (not (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) _let_1)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) (tptp.plus _let_1 tptp.n1))))))) (let ((_let_11 (forall ((X_t_42 $$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)))))) (let ((_let_12 (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length (tptp.int_level X_t_42))) (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) (tptp.wr_level X_t_42)) (= (tptp.wr_level (tptp.plus X_t_42 tptp.n1)) tptp.n0))))) (let ((_let_13 (forall ((X_t_42 $$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))))))) (let ((_let_14 (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (= (tptp.wr_level (tptp.plus X_t_37 tptp.n1)) tptp.n0))))) (let ((_let_15 (forall ((X_28 $$unsorted)) (not (tptp.gt X_28 X_28))))) (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 ((Z_21 $$unsorted) (Y_20 $$unsorted) (X_19 $$unsorted)) (or (not (tptp.gt Z_21 Y_20)) (tptp.gt Z_21 X_19) (not (tptp.gt Y_20 X_19)))))) (let ((_let_18 (forall ((X_13 $$unsorted) (Y_14 $$unsorted)) (or (tptp.gt X_13 Y_14) (not (tptp.gt (tptp.plus X_13 tptp.n1) Y_14)) (= Y_14 X_13))))) (let ((_let_19 (forall ((X_2 $$unsorted)) (or (not (tptp.gt X_2 tptp.n0)) (tptp.gt X_2 (tptp.minus X_2 tptp.n1)))))) (let ((_let_20 (forall ((X_1 $$unsorted)) (tptp.gt (tptp.plus X_1 tptp.n1) tptp.n0)))) (let ((_let_21 (= _let_4 _let_2))) (let ((_let_22 (tptp.gt tptp.fifo_length (tptp.int_level tptp.x_139)))) (let ((_let_23 (tptp.p_Rd tptp.x_139))) (let ((_let_24 (tptp.p_Wr tptp.x_139))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.p_Reset tptp.x_139))) (let ((_let_27 (or _let_26 _let_25 _let_23 _let_22 _let_21))) (let ((_let_28 (_let_11))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_t_42 tptp.n1)))) :args _let_28))) _let_29 :args (_let_27 false _let_11)))) (let ((_let_31 (or _let_26 _let_24 _let_21))) (let ((_let_32 (_let_8))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_21))) (let ((_let_35 (ASSUME :args (_let_7)))) (let ((_let_36 (ASSUME :args (_let_3)))) (let ((_let_37 (or))) (let ((_let_38 (not _let_3))) (let ((_let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))))) (let ((_let_40 (FALSE_INTRO _let_35))) (let ((_let_41 (APPLY_UF tptp.gt))) (let ((_let_42 (REFL :args (tptp.fifo_length)))) (let ((_let_43 (ASSUME :args (_let_21)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_35 _let_43 _let_36) :args (_let_7 _let_3 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_36)) (CONG (CONG (SYMM _let_43) (REFL :args (tptp.n1)) :args (APPLY_UF tptp.plus)) _let_42 :args _let_41) _let_40)) :args (_let_7 _let_21 _let_3)) :args ((not (and _let_7 _let_3 _let_21)) SB_LITERAL))) (CONG _let_39 (REFL :args (_let_38)) (REFL :args (_let_34)) :args _let_37)) _let_36 _let_35 :args (_let_34 false _let_3 true _let_6)))) (let ((_let_45 (= tptp.n0 _let_2))) (let ((_let_46 (not _let_26))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset X_t_37)) (= tptp.n0 (tptp.wr_level (tptp.plus X_t_37 tptp.n1))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (tptp.gt _let_5 tptp.n0))) (let ((_let_51 (= tptp.fifo_length _let_2))) (let ((_let_52 (tptp.gt _let_2 tptp.fifo_length))) (let ((_let_53 (or _let_52 _let_38 _let_51))) (let ((_let_54 (tptp.gt tptp.n0 tptp.fifo_length))) (let ((_let_55 (not _let_45))) (let ((_let_56 (_let_20))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (REFL :args (_let_55)))) (let ((_let_59 (not _let_51))) (let ((_let_60 (REFL :args (_let_59)))) (let ((_let_61 (ASSUME :args (_let_50)))) (let ((_let_62 (ASSUME :args (_let_45)))) (let ((_let_63 (SYMM _let_62))) (let ((_let_64 (ASSUME :args (_let_51)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (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)) (= X_13 Y_14))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_2 tptp.fifo_length QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.gt (tptp.plus X_13 tptp.n1) Y_14) false))))) :args (_let_66)))) _let_67 :args (_let_53 false _let_66)))) (let ((_let_69 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_38 _let_52 _let_51 (not _let_53)))))) (let ((_let_70 (not _let_54))) (let ((_let_71 (tptp.gt tptp.fifo_length tptp.fifo_length))) (let ((_let_72 (not _let_1))) (let ((_let_73 (or _let_72 _let_71 _let_70))) (let ((_let_74 (_let_17))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (not (= (tptp.gt Z_21 X_19) true)))) (let ((_let_77 (not _let_71))) (let ((_let_78 (_let_15))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.fifo_length QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X_28 X_28) false))))) :args _let_78)) _let_79 :args (_let_77 false _let_15)))) (let ((_let_81 (ASSUME :args (_let_1)))) (let ((_let_82 (not _let_52))) (let ((_let_83 (REFL :args (_let_82)))) (let ((_let_84 (and _let_45 _let_70))) (let ((_let_85 (ASSUME :args (_let_70)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_62) (SCOPE (FALSE_ELIM (TRANS (CONG _let_63 _let_42 :args _let_41) (FALSE_INTRO _let_85))) :args (_let_70 _let_45))) :args (_let_45 _let_70))) :args (true _let_84)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_54))) _let_83 :args _let_37)) :args ((or _let_82 _let_55 _let_54))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_71 _let_70 (not _let_73)))) _let_81 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.fifo_length tptp.n0 tptp.fifo_length QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.gt Z_21 Y_20) false)) _let_76))) :args _let_74)) _let_75 :args (_let_73 false _let_17)) :args (_let_70 false _let_1 true _let_71 false _let_73)) _let_69 _let_68 _let_36 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_61 _let_62 _let_64 _let_35) :args (_let_7 _let_50 _let_51 _let_45)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_40) (CONG (REFL :args (_let_5)) (TRANS (SYMM _let_65) _let_63) :args _let_41) (TRUE_INTRO _let_61))) :args (_let_50 _let_45 _let_51 _let_7)) :args ((not (and _let_7 _let_50 _let_51 _let_45)) SB_LITERAL))) (CONG _let_39 (REFL :args ((not _let_50))) _let_60 _let_58 :args _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_1 tptp.n1)))) :args _let_56)) _let_57 :args (_let_50 false _let_20)) _let_35 :args (_let_55 true _let_54 false _let_52 false _let_53 false _let_3 true _let_51 false _let_50 true _let_6)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 (not _let_47)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_t_37 tptp.n1)))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_46 true _let_45 false _let_47)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_26 _let_24 _let_21 (not _let_31)))) _let_87 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_t_42 tptp.n1)))) :args _let_32))) _let_33 :args (_let_31 false _let_8)) :args (_let_24 true _let_26 true _let_21 false _let_31)))) (let ((_let_89 (tptp.minus tptp.fifo_length tptp.n1))) (let ((_let_90 (tptp.gt _let_89 _let_4))) (let ((_let_91 (not _let_23))) (let ((_let_92 (or _let_26 _let_25 _let_91 _let_90 _let_45))) (let ((_let_93 (forall ((X_t_42 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (tptp.gt (tptp.minus tptp.fifo_length tptp.n1) (tptp.wr_level X_t_42)) (= tptp.n0 (tptp.wr_level (tptp.plus X_t_42 tptp.n1))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_t_42 tptp.n1)))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)))) (let ((_let_96 (tptp.gt _let_89 _let_5))) (let ((_let_97 (= _let_89 _let_5))) (let ((_let_98 (not _let_90))) (let ((_let_99 (or _let_98 _let_97 _let_96))) (let ((_let_100 (forall ((Y_24 $$unsorted) (X_23 $$unsorted)) (let ((_let_1 (tptp.plus X_23 tptp.n1))) (or (not (tptp.gt Y_24 X_23)) (= Y_24 _let_1) (tptp.gt Y_24 _let_1)))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (tptp.gt _let_89 tptp.fifo_length))) (let ((_let_103 (= _let_5 _let_2))) (let ((_let_104 (not _let_96))) (let ((_let_105 (not _let_102))) (let ((_let_106 (tptp.gt _let_5 _let_89))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_6 _let_105))) (let ((_let_109 (tptp.gt tptp.fifo_length _let_89))) (let ((_let_110 (not _let_22))) (let ((_let_111 (or _let_26 _let_25 _let_23 _let_110 _let_98 _let_103))) (let ((_let_112 (or _let_26 _let_25 _let_91 _let_98 _let_103))) (let ((_let_113 (_let_10))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_26 _let_45 _let_25 _let_90 _let_91 (not _let_92)))))) (let ((_let_116 (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_23 _let_22 _let_21 (not _let_27)))))) (let ((_let_117 (or _let_26 _let_25 _let_23 _let_110 _let_90 _let_45))) (let ((_let_118 (forall ((X_t_42 $$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.n0 (tptp.wr_level (tptp.plus X_t_42 tptp.n1))))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (MACRO_RESOLUTION_TRUST _let_115 _let_95 (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_26 _let_45 _let_25 _let_23 _let_110 _let_90 (not _let_117)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.plus X_t_42 tptp.n1)))) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args ((or _let_26 _let_45 _let_25 _let_110 _let_90) false _let_92 false _let_23 false _let_117)))) (let ((_let_121 (_let_13))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_26 _let_25 _let_23 _let_110 _let_98 _let_103 (not _let_111)))) _let_88 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING ((tptp.wr_level (tptp.plus X_t_42 tptp.n1))))) :args _let_121))) _let_122 :args (_let_111 false _let_13)) _let_120 _let_86 _let_87 _let_88 _let_116 _let_44 _let_87 _let_88 _let_30 (MACRO_RESOLUTION_TRUST _let_115 _let_88 _let_87 _let_86 _let_95 (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_26 _let_25 _let_98 _let_103 _let_91 (not _let_112)))) _let_87 _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x_139 QUANTIFIERS_INST_E_MATCHING ((tptp.wr_level (tptp.plus X_t_42 tptp.n1))))) :args _let_113))) _let_114 :args (_let_112 false _let_10)) :args ((or _let_103 _let_91) false _let_24 true _let_26 true _let_45 false _let_92 true _let_90 true _let_26 false _let_24 false _let_112)) :args (_let_103 false _let_24 true _let_26 false _let_111 false _let_90 true _let_45 true _let_26 false _let_24 false _let_22 true _let_21 true _let_26 false _let_24 false _let_27 true _let_23)))) (let ((_let_124 (not _let_103))) (let ((_let_125 (REFL :args (_let_124)))) (let ((_let_126 (and _let_7 _let_103))) (let ((_let_127 (_let_7 _let_103))) (let ((_let_128 (ASSUME :args (_let_103)))) (let ((_let_129 (SYMM (SYMM _let_128)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST _let_69 _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_35 _let_128) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_129) _let_42 :args _let_41) _let_40)) :args _let_127)) :args _let_127)) :args (true _let_126)) (CONG _let_39 _let_125 _let_83 :args _let_37)) :args ((or _let_6 _let_82 _let_124))) _let_123 _let_35 :args (_let_82 false _let_103 true _let_6)) _let_68 :args (_let_51 false _let_3 true _let_52 false _let_53)))) (let ((_let_131 (or _let_72 _let_109))) (let ((_let_132 (_let_19))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_72 _let_109 (not _let_131)))) _let_81 (MACRO_RESOLUTION_TRUST 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$$unsorted)) (or (= X_26 tptp.n0) (= X_26 (tptp.plus (tptp.y_27 X_26) tptp.n1)))) _let_15 (forall ((X_29 $$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)) (= tptp.n1 (tptp.plus tptp.n0 tptp.n1)) (forall ((X_t_32 $$unsorted)) (= (tptp.level X_t_32) (tptp.int_level X_t_32))) (forall ((X_t_33 $$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))) _let_14 (forall ((X_t_37 $$unsorted)) (or (not (tptp.p_Reset 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((X_t_42 $$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))))) (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 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (tptp.p_Rd X_t_42) (not (tptp.gt tptp.fifo_length 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(X_k2_58 $$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 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(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 $$unsorted)) (or (tptp.p_Reset X_t_42) (not (tptp.p_Wr X_t_42)) (not (tptp.p_Rd X_t_42)) (= X_c1_91 (tptp.wr_level X_t_42)) (tptp.p_Mem X_c1_91 X_k1_92 (tptp.plus X_t_42 tptp.n1)) (not (tptp.p_Mem X_c1_91 X_k1_92 X_t_42)))) _let_10 _let_9 _let_8 (forall ((X_t_42 $$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_7 _let_3 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.80/0.99 )
% 0.80/1.00 % SZS output end Proof for HWV031-1
% 0.80/1.00 % cvc5---1.0.5 exiting
% 0.80/1.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------