0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : do_cvc5 %s %d 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 03:29:15 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF 25.57/25.83 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 25.57/25.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 25.57/25.83 --- Run --no-e-matching --full-saturate-quant at 5... 25.57/25.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 25.57/25.83 --- Run --finite-model-find --uf-ss=no-minimal at 5... 25.57/25.83 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 25.57/25.83 % SZS status Theorem for theBenchmark 25.57/25.83 % SZS output start Proof for theBenchmark 25.57/25.83 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (= elec_1 (index status (host Z))) (setIn Z alive)) (not (elem (m_Ack Y Z) (queue (host Y)))))) (forall ((Y $$unsorted)) (let ((_let_1 (host Y))) (let ((_let_2 (index status _let_1))) (=> (and (setIn Y alive) (or (= elec_1 _let_2) (= elec_2 _let_2))) (= Y (index elid _let_1)))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Y))) (let ((_let_2 (host Pid0))) (=> (and (not (leq (index pendack _let_2) _let_1)) (setIn Pid0 alive) (= (index status _let_2) elec_2) (elem (m_Halt Pid0) (queue (host Z)))) (not (and (setIn Y alive) (= (index ldr _let_1) _let_1) (= (index status _let_1) norm))))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Y))) (let ((_let_2 (host Pid0))) (let ((_let_3 (index pendack _let_2))) (=> (and (= (index status _let_2) elec_2) (= (host Z) _let_3) (leq nbr_proc _let_3) (elem (m_Ack Pid0 Z) (queue _let_2)) (setIn Pid0 alive)) (not (and (setIn Y alive) (= norm (index status _let_1)) (= (index ldr _let_1) _let_1)))))))) (= (cons (m_Halt X) V) (queue (host W))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (host Z))) (let ((_let_2 (host Y))) (=> (and (setIn Z alive) (= elec_2 (index status _let_2)) (= elec_2 (index status _let_1)) (setIn Y alive) (not (leq _let_2 _let_1))) (not (leq (index pendack _let_2) (index pendack _let_1))))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (let ((_let_2 (host Pid0))) (=> (and (setIn Z alive) (setIn Pid0 alive) (= (host Y) _let_1) (elem (m_Ack Pid0 Y) (queue _let_2))) (not (setIn _let_2 (index down _let_1))))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Pid0))) (=> (and (elem (m_Down Y) (queue (host Z))) (elem (m_Ack Pid0 Z) (queue _let_1)) (= _let_1 (host Y))) (not (setIn Pid0 alive))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (host Z))) (=> (and (setIn Z alive) (= (index status _let_1) elec_1)) (not (elem (m_Ack Z Y) (queue _let_1)))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (host Z))) (=> (and (setIn Z alive) (elem (m_Ack Z Y) (queue _let_1))) (leq (host Y) (index pendack _let_1))))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (= (host Z) (host Y)) (not (= Y Z))) (or (not (setIn Z alive)) (not (setIn Y alive))))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (= (host Y) (host Z)) (leq Z Y) (not (setIn Y alive))) (not (setIn Z alive)))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (=> (elem (m_Ack Pid0 Y) (queue (host Z))) (not (leq (host Y) (host Pid0))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (host Y))) (=> (elem (m_Ldr Z) (queue _let_1)) (not (leq _let_1 (host Z)))))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (elem (m_Down Z) (queue (host Y))) (not (setIn Z alive)))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (elem (m_Ack Z Y) (queue (host Z))) (setIn Z pids)))) (=> (setIn W alive) (forall ((Y $$unsorted)) (=> (not (= (host Y) (host W))) (forall ((Z $$unsorted) (X0 $$unsorted)) (let ((_let_1 (host Y))) (let ((_let_2 (host X0))) (let ((_let_3 (index pendack _let_2))) (=> (= _let_2 (host X)) (=> (not (= (host W) _let_2)) (=> (and (= elec_2 (index status _let_2)) (= _let_3 (host Z)) (elem (m_Ack X0 Z) (snoc (queue _let_2) (m_Ack X W))) (leq nbr_proc _let_3) (setIn X0 alive)) (not (and (= (index ldr _let_1) _let_1) (= norm (index status _let_1)) (setIn Y alive)))))))))))))))))) (let ((_let_2 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= X2 X1)) (not (= (m_Ack X2 Y2) (m_Ack X1 Y1))))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (leq Y X) (leq X Y)) (= Y X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (or (elem X Q) (= X Y)) (elem X (snoc Q Y)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (or (elem X Q) (= Y X)) (elem X (cons Y Q)))))) (let ((_let_6 (forall ((P $$unsorted)) (leq (host P) nbr_proc)))) (let ((_let_7 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= Y1 Y2)) (not (= (m_Ack X1 Y1) (m_Ack X2 Y2))))))) (let ((_let_8 (forall ((Y $$unsorted)) (let ((_let_1 (host Y))) (or (not (setIn Y alive)) (not (= norm (index status _let_1))) (not (= _let_1 (index ldr _let_1)))))))) (let ((_let_9 (host skv_5))) (let ((_let_10 (= _let_9 (index ldr _let_9)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (= norm (index status _let_9)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (setIn skv_5 alive))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11))) (let ((_let_17 (forall ((Pid0 $$unsorted) (Z $$unsorted)) (let ((_let_1 (host Pid0))) (let ((_let_2 (index pendack _let_1))) (or (not (= elec_2 (index status _let_1))) (not (= _let_2 (host Z))) (not (leq nbr_proc _let_2)) (not (elem (m_Ack Pid0 Z) (queue _let_1))) (not (setIn Pid0 alive)))))))) (let ((_let_18 (setIn skv_7 alive))) (let ((_let_19 (not _let_18))) (let ((_let_20 (host skv_7))) (let ((_let_21 (queue _let_20))) (let ((_let_22 (m_Ack skv_7 skv_6))) (let ((_let_23 (elem _let_22 _let_21))) (let ((_let_24 (not _let_23))) (let ((_let_25 (index pendack _let_20))) (let ((_let_26 (leq nbr_proc _let_25))) (let ((_let_27 (not _let_26))) (let ((_let_28 (host skv_6))) (let ((_let_29 (= _let_28 _let_25))) (let ((_let_30 (not _let_29))) (let ((_let_31 (= elec_2 (index status _let_20)))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_27 _let_24 _let_19))) (let ((_let_34 (not _let_17))) (let ((_let_35 (not _let_33))) (let ((_let_36 (m_Ack skv_4 skv_3))) (let ((_let_37 (= _let_36 _let_22))) (let ((_let_38 (or _let_23 _let_37))) (let ((_let_39 (elem _let_22 (snoc _let_21 _let_36)))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (_let_4))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (host skv_3))) (let ((_let_44 (= _let_43 _let_9))) (let ((_let_45 (not _let_39))) (let ((_let_46 (= (host skv_4) _let_20))) (let ((_let_47 (not _let_46))) (let ((_let_48 (queue _let_43))) (let ((_let_49 (= _let_48 (cons (m_Halt skv_4) skv_2)))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 (not (setIn skv_3 alive)) _let_47 (= _let_43 _let_20) _let_32 _let_30 _let_45 _let_27 _let_19 _let_44 _let_11 _let_13 _let_15))) (let ((_let_52 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (BOUND_VARIABLE_1741 $$unsorted) (BOUND_VARIABLE_1718 $$unsorted) (BOUND_VARIABLE_1716 $$unsorted)) (let ((_let_1 (host BOUND_VARIABLE_1741))) (let ((_let_2 (host W))) (let ((_let_3 (host BOUND_VARIABLE_1716))) (let ((_let_4 (index pendack _let_3))) (or (not (= (queue _let_2) (cons (m_Halt X) V))) (not (setIn W alive)) (not (= (host X) _let_3)) (= _let_2 _let_3) (not (= elec_2 (index status _let_3))) (not (= (host BOUND_VARIABLE_1718) _let_4)) (not (elem (m_Ack BOUND_VARIABLE_1716 BOUND_VARIABLE_1718) (snoc (queue _let_3) (m_Ack X W)))) (not (leq nbr_proc _let_4)) (not (setIn BOUND_VARIABLE_1716 alive)) (= _let_2 _let_1) (not (= _let_1 (index ldr _let_1))) (not (= norm (index status _let_1))) (not (setIn BOUND_VARIABLE_1741 alive)))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (OR))) (let ((_let_56 (not _let_52))) (let ((_let_57 (_let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) (NOT_OR_ELIM _let_54 :args (15)) :args (_let_53 true _let_52)))) (let ((_let_59 (REFL :args (_let_51)))) (let ((_let_60 (not _let_37))) (let ((_let_61 (= skv_3 skv_6))) (let ((_let_62 (or _let_61 _let_60))) (let ((_let_63 (= skv_4 skv_7))) (let ((_let_64 (or _let_63 _let_60))) (let ((_let_65 (= nbr_proc _let_25))) (let ((_let_66 (= nbr_proc _let_9))) (let ((_let_67 (m_Halt skv_7))) (let ((_let_68 (elem _let_67 (cons _let_67 skv_2)))) (let ((_let_69 (elem _let_67 _let_48))) (let ((_let_70 (leq nbr_proc _let_9))) (let ((_let_71 (leq _let_9 nbr_proc))) (let ((_let_72 (and _let_71 _let_70))) (let ((_let_73 (= _let_72 _let_66))) (let ((_let_74 (not _let_69))) (let ((_let_75 (leq _let_25 _let_9))) (let ((_let_76 (or _let_75 _let_19 _let_32 _let_74 _let_15 _let_11 _let_13))) (let ((_let_77 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (= Y1 Y2) (not (= (m_Ack X2 Y2) (m_Ack X1 Y1))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (= X1 X2) (not (= (m_Ack X1 Y1) (m_Ack X2 Y2))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 5)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_55)) :args ((or _let_29 _let_51))) _let_58 :args (_let_29 true _let_51)))) (let ((_let_82 (not _let_44))) (let ((_let_83 (leq _let_25 nbr_proc))) (let ((_let_84 (and _let_26 _let_83))) (let ((_let_85 (= _let_84 _let_65))) (let ((_let_86 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (leq Y X) (leq X Y)) (= X Y))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 (leq _let_28 nbr_proc))) (let ((_let_90 (_let_6))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((host P)))) (let ((_let_93 (and _let_29 _let_89))) (let ((_let_94 (ASSUME :args (_let_89)))) (let ((_let_95 (APPLY_UF leq))) (let ((_let_96 (ASSUME :args (_let_29)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 7)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_55)) :args ((or _let_26 _let_51))) _let_58 :args (_let_26 true _let_51)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_85)) :args ((or _let_65 (not _let_84) (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_84)) :args ((or _let_27 _let_84 (not _let_83)))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG _let_97 (REFL :args (nbr_proc)) :args _let_95) (TRUE_INTRO _let_94))) :args (_let_89 _let_29))) :args (_let_29 _let_89))) :args (true _let_93)) :args ((or _let_30 _let_83 (not _let_89)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_89 false _let_6)) :args (_let_83 false _let_29 false _let_89)) :args (_let_84 false _let_26 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_25 nbr_proc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((leq Y X)))) :args _let_88))) _let_87 :args (_let_85 false _let_86)) :args (_let_65 false _let_84 false _let_85)))) (let ((_let_100 (not _let_66))) (let ((_let_101 (not _let_65))) (let ((_let_102 (not _let_61))) (let ((_let_103 (and _let_29 _let_82 _let_61 _let_65))) (let ((_let_104 (= _let_43 _let_28))) (let ((_let_105 (ASSUME :args (_let_82)))) (let ((_let_106 (REFL :args (_let_9)))) (let ((_let_107 (ASSUME :args (_let_65)))) (let ((_let_108 (SYMM (SYMM _let_107)))) (let ((_let_109 (_let_61))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (elem X (cons Y Q)) (or (elem X Q) (= X Y)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (and _let_49 _let_63 _let_68))) (let ((_let_114 (ASSUME :args (_let_68)))) (let ((_let_115 (ASSUME :args (_let_63)))) (let ((_let_116 (ASSUME :args (_let_49)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 4)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_55)) :args ((or _let_31 _let_51))) _let_58 :args (_let_31 true _let_51)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 8)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_55)) :args ((or _let_18 _let_51))) _let_58 :args (_let_18 true _let_51)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 10)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_55)) :args ((or _let_10 _let_51))) _let_58 :args (_let_10 true _let_51)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 11)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_55)) :args ((or _let_12 _let_51))) _let_58 :args (_let_12 true _let_51)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 12)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_55)) :args ((or _let_14 _let_51))) _let_58 :args (_let_14 true _let_51)))) (let ((_let_122 (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Y))) (let ((_let_2 (host Pid0))) (or (leq (index pendack _let_2) _let_1) (not (setIn Pid0 alive)) (not (= elec_2 (index status _let_2))) (not (elem (m_Halt Pid0) (queue (host Z)))) (not (setIn Y alive)) (not (= _let_1 (index ldr _let_1))) (not (= norm (index status _let_1))))))))) (let ((_let_123 (_let_122))) (let ((_let_124 (and _let_46 _let_29 _let_65 _let_75))) (let ((_let_125 (ASSUME :args (_let_75)))) (let ((_let_126 (ASSUME :args (_let_46)))) (let ((_let_127 (CONG (REFL :args (pendack)) (SYMM (SYMM _let_126)) :args (APPLY_UF index)))) (let ((_let_128 (_let_17))) (let ((_let_129 (not _let_16))) (let ((_let_130 (_let_8))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args (skv_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_11 _let_13 _let_15 _let_129))) _let_119 _let_120 _let_121 :args (_let_129 false _let_10 false _let_12 false _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_54 :args (3))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not (not _let_8)) _let_8))) :args _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_128) :args (skv_7 skv_6 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(= (not (= X Y)) (not (= (m_Down Y) (m_Down X))))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (m_Halt Y) (m_Down X)))) (forall ((Q $$unsorted) (X $$unsorted)) (=> (ordered Q) (ordered (snoc Q (m_Ldr X))))) (forall ((Y $$unsorted) (Q $$unsorted)) (= (init (snoc Q Y)) Q)) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (m_NotNorm Y) (m_Down X)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= (m_Ldr X) (m_Ldr Y))) (not (= Y X)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 25.57/25.84 % SZS output end Proof for theBenchmark 25.57/25.84 EOF