TSTP Solution File: SWV461+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV461+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 21:51:37 EDT 2023
% Result : Theorem 0.22s 0.66s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWV461+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 07:20:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sWe3mfqKiG/cvc5---1.0.5_25790.p...
% 0.22/0.66 ------- get file name : TPTP file name is SWV461+1
% 0.22/0.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25790.smt2...
% 0.22/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.66 % SZS status Theorem for SWV461+1
% 0.22/0.66 % SZS output start Proof for SWV461+1
% 0.22/0.66 (
% 0.22/0.66 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.host V))) (let ((_let_2 (tptp.host W))) (=> (and (forall ((X $$unsorted)) (=> (= (tptp.host W) (tptp.host X)) (not (tptp.setIn X tptp.alive)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (tptp.elem (tptp.m_Ldr Y) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Y)))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (tptp.elem (tptp.m_Down Y) (tptp.queue _let_1)) (not (= (tptp.host Y) _let_1))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (tptp.elem (tptp.m_Halt Y) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Y)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.elem (tptp.m_Ack Z X) (tptp.queue (tptp.host Y))) (not (tptp.leq (tptp.host X) (tptp.host Z))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (not (= Y X)) (= (tptp.host Y) (tptp.host X))) (or (not (tptp.setIn X tptp.alive)) (not (tptp.setIn Y tptp.alive))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host Y))) (=> (and (tptp.setIn Y tptp.alive) (tptp.elem (tptp.m_Ack Y X) (tptp.queue _let_1))) (tptp.leq (tptp.host X) (tptp.index tptp.pendack _let_1))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host Y))) (=> (and (tptp.setIn Y tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Y X) (tptp.queue _let_1)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.index tptp.status _let_1))) (=> (and (or (= _let_2 tptp.elec_1) (= _let_2 tptp.elec_2)) (tptp.setIn X tptp.alive)) (= (tptp.index tptp.elid _let_1) X))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down Y) (tptp.queue (tptp.host Z))) (= (tptp.host Y) _let_1)) (not (and (tptp.setIn X tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Z))) (=> (and (tptp.setIn X tptp.alive) (tptp.setIn Z tptp.alive) (= _let_2 (tptp.host Y)) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack X Y) (tptp.queue _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Y))) (=> (and (not (tptp.leq _let_1 _let_2)) (tptp.setIn X tptp.alive) (tptp.setIn Y tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host X))) (=> (and (not (tptp.leq _let_2 _let_1)) (tptp.setIn X tptp.alive) (tptp.setIn Y tptp.alive) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.index tptp.status _let_1) tptp.elec_2)) (not (tptp.leq (tptp.index tptp.pendack _let_2) (tptp.index tptp.pendack _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Z))) (=> (and (not (tptp.leq (tptp.index tptp.pendack _let_2) _let_1)) (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Halt Z) (tptp.queue (tptp.host Y))) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn X tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Z)))))) (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1)) (= _let_1 (tptp.host Y)) (= _let_1 tptp.nbr_proc) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn X tptp.alive) (tptp.elem (tptp.m_Down Y) (tptp.queue (tptp.host X)))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.queue _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Z) _let_5) (tptp.elem (tptp.m_Ack Pid0 Y) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Y) _let_3) (= (tptp.host Z) _let_4)) (not (and (tptp.setIn X tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))))))) (=> (= (tptp.queue _let_2) tptp.q_nil) (=> (and (forall ((X $$unsorted)) (=> (= (tptp.host W) (tptp.host X)) (tptp.leq X V))) (not (tptp.setIn V tptp.pids)) (= _let_2 _let_1)) (=> (= _let_1 (tptp.s tptp.zero)) (=> (not (tptp.leq tptp.nbr_proc _let_1)) (forall ((X $$unsorted)) (=> (not (= (tptp.host V) (tptp.host X))) (forall ((Y $$unsorted) (Z $$unsorted) (Z0 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Z0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.snoc (tptp.queue _let_2) (tptp.m_Halt V)))) (let ((_let_6 (tptp.host V))) (=> (= (tptp.s _let_6) _let_2) (=> (not (= _let_6 _let_2)) (=> (and (or (tptp.setIn Z0 tptp.alive) (= Z0 V)) (tptp.leq tptp.nbr_proc _let_4) (tptp.elem (tptp.m_Down Z) _let_5) (tptp.elem (tptp.m_Ack Z0 Y) _let_5) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Y) _let_3) (= (tptp.host Z) _let_4)) (not (and (or (tptp.setIn X tptp.alive) (= X V)) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Halt Z)))))) (let ((_let_5 (tptp.s tptp.zero))) (let ((_let_6 (forall ((Pid0 $$unsorted) (Z $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_1))) (or (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Down Z) _let_4)) (not (tptp.elem (tptp.m_Ack Pid0 Y) _let_4)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host Y))) (not (= _let_3 (tptp.host Z))))))))))) (let ((_let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (tptp.index tptp.pendack _let_7))) (let ((_let_9 (tptp.s _let_8))) (let ((_let_10 (= _let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (= _let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (= tptp.elec_2 (tptp.index tptp.status _let_7)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.leq tptp.nbr_proc _let_9))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.queue _let_7))) (let ((_let_19 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (tptp.elem _let_19 _let_18))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_23 (tptp.elem _let_22 _let_18))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_21 _let_17 _let_15 _let_13 _let_11))) (let ((_let_28 (forall ((X $$unsorted)) (let ((_let_1 (tptp.host X))) (or (not (tptp.setIn X tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))) (let ((_let_29 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (= tptp.norm (tptp.index tptp.status _let_29)))) (let ((_let_31 (not _let_30))) (let ((_let_32 (= _let_29 (tptp.index tptp.ldr _let_29)))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31))) (let ((_let_37 (not _let_28))) (let ((_let_38 (not _let_36))) (let ((_let_39 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (not _let_39))) (let ((_let_41 (and _let_35 _let_40))) (let ((_let_42 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (= _let_42 _let_29))) (let ((_let_44 (tptp.m_Halt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (tptp.snoc _let_18 _let_44))) (let ((_let_46 (tptp.elem _let_19 _let_45))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.elem _let_22 _let_45))) (let ((_let_49 (not _let_48))) (let ((_let_50 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_51 (not _let_50))) (let ((_let_52 (and _let_26 _let_51))) (let ((_let_53 (= _let_42 _let_7))) (let ((_let_54 (not (= (tptp.s _let_42) _let_7)))) (let ((_let_55 (tptp.leq tptp.nbr_proc _let_42))) (let ((_let_56 (not (= _let_5 _let_42)))) (let ((_let_57 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.pids))) (let ((_let_59 (not (= tptp.q_nil (tptp.queue _let_57))))) (let ((_let_60 (or (not (forall ((X $$unsorted)) (or (not (= (tptp.host X) (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.setIn X tptp.alive))))) _let_59 (not (forall ((X $$unsorted)) (or (not (= (tptp.host X) (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.leq X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) _let_58 (not (= _let_57 _let_42)) _let_56 _let_55 _let_54 _let_53 _let_52 _let_17 _let_49 _let_47 _let_15 _let_13 _let_11 _let_43 _let_41 _let_33 _let_31))) (let ((_let_61 (forall ((W $$unsorted) (V $$unsorted) (BOUND_VARIABLE_2019 $$unsorted) (BOUND_VARIABLE_1986 $$unsorted) (BOUND_VARIABLE_1984 $$unsorted) (BOUND_VARIABLE_1982 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2019))) (let ((_let_2 (tptp.host V))) (let ((_let_3 (tptp.host BOUND_VARIABLE_1982))) (let ((_let_4 (tptp.index tptp.pendack _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.snoc (tptp.queue _let_3) (tptp.m_Halt V)))) (let ((_let_7 (tptp.host W))) (or (not (forall ((X $$unsorted)) (or (not (= (tptp.host W) (tptp.host X))) (not (tptp.setIn X tptp.alive))))) (not (= tptp.q_nil (tptp.queue _let_7))) (not (forall ((X $$unsorted)) (or (not (= (tptp.host W) (tptp.host X))) (tptp.leq X V)))) (tptp.setIn V tptp.pids) (not (= _let_2 _let_7)) (not (= (tptp.s tptp.zero) _let_2)) (tptp.leq tptp.nbr_proc _let_2) (not (= (tptp.s _let_2) _let_3)) (= _let_2 _let_3) (and (not (tptp.setIn BOUND_VARIABLE_1982 tptp.alive)) (not (= V BOUND_VARIABLE_1982))) (not (tptp.leq tptp.nbr_proc _let_5)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1984) _let_6)) (not (tptp.elem (tptp.m_Ack BOUND_VARIABLE_1982 BOUND_VARIABLE_1986) _let_6)) (not (= tptp.elec_2 (tptp.index tptp.status _let_3))) (not (= _let_4 (tptp.host BOUND_VARIABLE_1986))) (not (= _let_5 (tptp.host BOUND_VARIABLE_1984))) (= _let_2 _let_1) (and (not (tptp.setIn BOUND_VARIABLE_2019 tptp.alive)) (not (= V BOUND_VARIABLE_2019))) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))))))))) (let ((_let_62 (not _let_60))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (or))) (let ((_let_65 (not _let_61))) (let ((_let_66 (_let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66) (REWRITE :args ((=> _let_65 (not (or (not (forall ((X $$unsorted)) (or (not (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.host X))) (not (tptp.setIn X tptp.alive))))) _let_59 (not (forall ((X $$unsorted)) (or (not (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.host X))) (tptp.leq X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) _let_58 (not (= _let_42 _let_57)) _let_56 _let_55 _let_54 _let_53 _let_52 _let_17 _let_49 _let_47 _let_15 _let_13 _let_11 _let_43 _let_41 _let_33 _let_31))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_61))) (REFL :args (_let_62)) :args _let_64)) (NOT_OR_ELIM _let_63 :args (15)) :args (_let_62 true _let_61)))) (let ((_let_68 (REFL :args (_let_60)))) (let ((_let_69 (_let_39))) (let ((_let_70 (APPLY_UF tptp.host))) (let ((_let_71 (ASSUME :args _let_69))) (let ((_let_72 (_let_41))) (let ((_let_73 (_let_28))) (let ((_let_74 (not _let_27))) (let ((_let_75 (= _let_22 _let_44))) (let ((_let_76 (or _let_75 _let_23))) (let ((_let_77 (= _let_48 _let_76))) (let ((_let_78 (_let_2))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.elem X (tptp.snoc Q Y))))) (let ((_let_81 (_let_3))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 (= _let_44 _let_19))) (let ((_let_84 (or _let_83 _let_20))) (let ((_let_85 (= _let_46 _let_84))) (let ((_let_86 (_let_4))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (_let_50))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (_let_52))) (let ((_let_91 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down Z) (tptp.m_Ack Pid0 Y)))) :args _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_17 _let_15 _let_13 _let_11 _let_21 _let_24 _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_90) (CONG (REFL :args _let_90) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_64)) :args ((or _let_25 _let_50 _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_89 (SCOPE (CONG (SYMM (SYMM _let_89)) :args _let_70) :args _let_88)) :args _let_88)) :args ((or _let_53 _let_51))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 8)) _let_67 :args ((not _let_53) true _let_60)) :args (_let_51 true _let_53)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 9)) _let_67 :args ((not _let_52) true _let_60)) :args (_let_25 true _let_50 true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 10)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_64)) :args ((or _let_16 _let_60))) _let_67 :args (_let_16 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 13)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_64)) :args ((or _let_14 _let_60))) _let_67 :args (_let_14 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 14)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_64)) :args ((or _let_12 _let_60))) _let_67 :args (_let_12 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 15)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_64)) :args ((or _let_10 _let_60))) _let_67 :args (_let_10 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_20 _let_83 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack X Y) (tptp.m_Halt Z)))) :args _let_86))) _let_87 :args ((not _let_83) false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_85)) :args ((or _let_47 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 12)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_64)) :args ((or _let_46 _let_60))) _let_67 :args (_let_46 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_19 _let_44 _let_18 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_78))) _let_79 :args (_let_85 false _let_2)) :args (_let_84 false _let_46 false _let_85)) :args (_let_20 true _let_83 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_23 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down X) (tptp.m_Halt Y)))) :args _let_81)) _let_82 :args ((not _let_75) false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_77)) :args ((or _let_49 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 11)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_64)) :args ((or _let_48 _let_60))) _let_67 :args (_let_48 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_22 _let_44 _let_18 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_78)) _let_79 :args (_let_77 false _let_2)) :args (_let_76 false _let_48 false _let_77)) :args (_let_23 true _let_75 false _let_76)) :args (_let_74 false _let_25 false _let_16 false _let_14 false _let_12 false _let_10 false _let_20 false _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_63 :args (14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_6)) _let_6))) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_28))) :args _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.setIn X tptp.alive) false))))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_31 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_72) (CONG (REFL :args _let_72) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_64)) :args ((or _let_34 _let_39 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_71 (SCOPE (CONG (SYMM (SYMM _let_71)) :args _let_70) :args _let_69)) :args _let_69)) :args ((or _let_43 _let_40))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 16)) _let_67 :args ((not _let_43) true _let_60)) :args (_let_40 true _let_43)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 17)) _let_67 :args ((not _let_41) true _let_60)) :args (_let_34 true _let_39 true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 18)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_64)) :args ((or _let_32 _let_60))) _let_67 :args (_let_32 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 19)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_64)) :args ((or _let_30 _let_60))) _let_67 :args (_let_30 true _let_60)) :args (_let_38 false _let_34 false _let_32 false _let_30)) :args (_let_37 true _let_36)) :args (_let_6 true _let_28)) :args (false true _let_27 false _let_6)) :args ((forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid Pid2) (tptp.queue (tptp.host Pid))) (and (tptp.setIn Pid tptp.pids) (tptp.setIn Pid2 tptp.pids)))) (forall ((P $$unsorted) (Q $$unsorted)) (let ((_let_1 (tptp.host Q))) (let ((_let_2 (tptp.host P))) (=> (= (tptp.s _let_2) _let_1) (not (= _let_2 _let_1)))))) (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq _let_5 tptp.nbr_proc) (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)) (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Down Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_NotNorm Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Ldr Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_NormQ Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NotNorm X) (tptp.m_Halt Y)))) _let_3 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NormQ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NormQ X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_NormQ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NormQ X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Halt X) (tptp.m_Halt Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_NormQ X) (tptp.m_NormQ Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_NotNorm X) (tptp.m_NotNorm Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Ldr X) (tptp.m_Ldr Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Down X) (tptp.m_Down Y))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= X1 X2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= Y1 Y2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))) (forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (not (= (tptp.host Pid) (tptp.host Pid2))) (not (= Pid Pid2)))) (not (tptp.setIn tptp.nil tptp.alive)) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.head (tptp.cons X Q)) X)) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.tail (tptp.cons X Q)) Q)) (forall ((Y $$unsorted) (Q $$unsorted)) (= (tptp.last (tptp.snoc Q Y)) Y)) (forall ((Y $$unsorted) (Q $$unsorted)) (= (tptp.init (tptp.snoc Q Y)) Q)) (forall ((Q $$unsorted)) (or (= Q tptp.q_nil) (= Q (tptp.cons (tptp.head Q) (tptp.tail Q))))) (forall ((Q $$unsorted)) (or (= Q tptp.q_nil) (= Q (tptp.snoc (tptp.init Q) (tptp.last Q))))) (forall ((X $$unsorted) (Q $$unsorted)) (not (= tptp.q_nil (tptp.cons X Q)))) (forall ((Y $$unsorted) (Q $$unsorted)) (not (= tptp.q_nil (tptp.snoc Q Y)))) (forall ((X $$unsorted)) (= (tptp.cons X tptp.q_nil) (tptp.snoc tptp.q_nil X))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.snoc (tptp.cons X Q) Y) (tptp.cons X (tptp.snoc Q Y)))) (forall ((X $$unsorted)) (not (tptp.elem X tptp.q_nil))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))) _let_2 (forall ((X $$unsorted)) (= (tptp.pidElem X) (exists ((Y $$unsorted)) (or (= X (tptp.m_Halt Y)) (= X (tptp.m_Down Y)))))) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Halt X)) X)) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Down X)) X)) (tptp.ordered tptp.q_nil) (forall ((X $$unsorted)) (and (tptp.ordered (tptp.cons X tptp.q_nil)) (tptp.ordered (tptp.snoc tptp.q_nil X)))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.cons X Q)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg Y))) (let ((_let_2 (tptp.pidMsg X))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_1) (tptp.host _let_2))) (tptp.leq _let_2 _let_1)))))))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.snoc Q X)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg X))) (let ((_let_2 (tptp.pidMsg Y))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_2) (tptp.host _let_1))) (tptp.leq _let_2 _let_1)))))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ack X Y))))) (forall ((Q $$unsorted) (X $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ldr X))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.ordered (tptp.cons (tptp.m_Halt X) Q)) (= (tptp.host X) (tptp.host Y)) (tptp.elem (tptp.m_Down Y) Q)) (tptp.leq X Y))) (forall ((X $$unsorted)) (not (tptp.leq (tptp.s X) X))) (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.leq X _let_1) (or (= X _let_1) (tptp.leq X Y))))) (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.67 )
% 0.22/0.67 % SZS output end Proof for SWV461+1
% 0.22/0.67 % cvc5---1.0.5 exiting
% 0.22/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------