%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 21:51:40 EDT 2023

% Result   : Theorem 0.18s 0.57s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 29 04:57:30 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.klbIOHEBE1/cvc5---1.0.5_1103.p...
% 0.18/0.57  ------- get file name : TPTP file name is SWV473+1
% 0.18/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1103.smt2...
% 0.18/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.57  % SZS status Theorem for SWV473+1
% 0.18/0.57  % SZS output start Proof for SWV473+1
% 0.18/0.57  (
% 0.18/0.57  (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (and (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (tptp.elem (tptp.m_Ldr Pid0) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Pid0)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_1)) (not (= (tptp.host Pid0) _let_1))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (= _let_1 tptp.nbr_proc) (not (tptp.elem (tptp.m_NotNorm Z) (tptp.queue _let_1)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (and (not (= Pid0 Z)) (= (tptp.host Pid0) (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive))))) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.index tptp.status _let_1))) (=> (and (or (= _let_2 tptp.elec_1) (= _let_2 tptp.elec_2)) (tptp.setIn Z tptp.alive)) (= (tptp.index tptp.elid _let_1) Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.ldr _let_2) _let_1)) (not (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.wait) (= (tptp.host (tptp.index tptp.elid _let_2)) _let_1)) (not (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= (tptp.host Pid30) _let_2) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2)) (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1)))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid30))) (let ((_let_3 (tptp.host Z))) (=> (and (not (= _let_1 _let_3)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= _let_2 _let_3) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_3)) (tptp.setIn _let_2 (tptp.index tptp.down _let_1))))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$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 Pid20)))))) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1)) (= _let_1 tptp.nbr_proc) (= _let_1 (tptp.host Pid30)) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down Pid30) (tptp.queue (tptp.host Z)))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Ack W Y) V))) (=> (tptp.setIn X tptp.alive) (=> (not (and (= (tptp.index tptp.elid _let_1) W) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.host Y) (tptp.index tptp.pendack _let_1)))) (forall ((Z $$unsorted)) (=> (not (= (tptp.host X) (tptp.host Z))) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (= (tptp.host X) _let_1) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host X0)))))) (tptp.elem (tptp.m_Down X0) V) (= _let_1 (tptp.host W0)) (= _let_1 tptp.nbr_proc) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down W0) (tptp.queue (tptp.host Z))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_3 (tptp.s tptp.zero))) (let ((_let_4 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_8 (= _let_4 _let_7))) (let ((_let_9 (= _let_5 _let_7))) (let ((_let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_11 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.queue _let_10)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (= tptp.elec_1 (tptp.index tptp.status _let_4)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= tptp.nbr_proc _let_4))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_8))) (let ((_let_18 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (tptp.elem _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_6))) (let ((_let_24 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.index tptp.status _let_5))) (let ((_let_27 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (tptp.cons _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.queue _let_5))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive)) (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.index tptp.elid _let_5)) (= tptp.elec_2 _let_26) (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.index tptp.pendack _let_5))) (= _let_5 _let_10) _let_25 _let_23 _let_22 _let_20 _let_17 _let_16 _let_14 _let_12))) (let ((_let_33 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1816 $$unsorted) (BOUND_VARIABLE_1814 $$unsorted) (BOUND_VARIABLE_1812 $$unsorted) (BOUND_VARIABLE_1810 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1810))) (let ((_let_2 (tptp.host BOUND_VARIABLE_1816))) (let ((_let_3 (tptp.host X))) (or (not (= (tptp.queue _let_3) (tptp.cons (tptp.m_Ack W Y) V))) (not (tptp.setIn X tptp.alive)) (and (= W (tptp.index tptp.elid _let_3)) (= tptp.elec_2 (tptp.index tptp.status _let_3)) (= (tptp.host Y) (tptp.index tptp.pendack _let_3))) (= _let_3 _let_1) (not (tptp.setIn BOUND_VARIABLE_1810 tptp.alive)) (not (= _let_3 _let_2)) (not (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1816))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host BOUND_VARIABLE_1814)))))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1814) V)) (not (= _let_2 (tptp.host BOUND_VARIABLE_1812))) (not (= tptp.nbr_proc _let_2)) (not (= tptp.elec_1 (tptp.index tptp.status _let_2))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1812) (tptp.queue _let_1)))))))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or))) (let ((_let_37 (not _let_33))) (let ((_let_38 (_let_37))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_36)) (NOT_OR_ELIM _let_35 :args (10)) :args (_let_34 true _let_33)))) (let ((_let_40 (REFL :args (_let_32)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 5)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_6))) :args _let_36)) :args ((or _let_6 _let_32))) _let_39 :args (_let_6 true _let_32)))) (let ((_let_42 (= tptp.elec_1 _let_26))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_9))) (let ((_let_45 (= tptp.nbr_proc _let_5))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.elem _let_18 _let_29))) (let ((_let_48 (not _let_47))) (let ((_let_49 (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_46 _let_44 _let_43 _let_25 _let_12))) (let ((_let_52 (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (or (not (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1))) (not (= tptp.nbr_proc _let_1)) (not (= _let_1 (tptp.host Pid30))) (not (= tptp.elec_1 (tptp.index tptp.status _let_1))) (not (tptp.setIn Z tptp.alive)) (not (tptp.elem (tptp.m_Down Pid30) (tptp.queue (tptp.host Z))))))))) (let ((_let_53 (_let_52))) (let ((_let_54 (and _let_6 _let_15))) (let ((_let_55 (_let_6 _let_15))) (let ((_let_56 (ASSUME :args (_let_6)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (ASSUME :args (_let_15)))) (let ((_let_61 (tptp.elem _let_18 _let_28))) (let ((_let_62 (or (= _let_27 _let_18) _let_19))) (let ((_let_63 (= _let_61 _let_62))) (let ((_let_64 (_let_2))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (and _let_30 _let_61))) (let ((_let_67 (ASSUME :args (_let_61)))) (let ((_let_68 (ASSUME :args (_let_30)))) (let ((_let_69 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_70 (= _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_71 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.index tptp.down _let_5)))) (let ((_let_72 (tptp.leq _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.leq _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_75 (or _let_74 _let_73 _let_71 _let_70))) (let ((_let_76 (tptp.leq _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_77 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.index tptp.down _let_4)))) (let ((_let_78 (or _let_76 _let_73 _let_77 _let_70))) (let ((_let_79 (not _let_74))) (let ((_let_80 (REFL :args (_let_23)))) (let ((_let_81 (and _let_6 _let_79))) (let ((_let_82 (ASSUME :args (_let_79)))) (let ((_let_83 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_84 (not _let_71))) (let ((_let_85 (and _let_6 _let_84))) (let ((_let_86 (ASSUME :args (_let_84)))) (let ((_let_87 (APPLY_UF tptp.index))) (let ((_let_88 (_let_21))) (let ((_let_89 (_let_50))) (let ((_let_90 (and _let_6 _let_13))) (let ((_let_91 (_let_6 _let_13))) (let ((_let_92 (ASSUME :args (_let_13)))) (let ((_let_93 (ASSUME :args (_let_44)))) (let ((_let_94 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_93 _let_94 _let_56) :args (_let_6 _let_8 _let_44)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS _let_58 (SYMM (SYMM _let_94))))) (FALSE_INTRO _let_93))) :args (_let_44 _let_8 _let_6)) :args ((not (and _let_6 _let_8 _let_44)) SB_LITERAL))) (CONG _let_80 (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_9))) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_25 _let_12 _let_43 _let_50 _let_48 _let_46 _let_44 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 4)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_36)) :args ((or _let_24 _let_32))) _let_39 :args (_let_24 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 11)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_36)) :args ((or _let_11 _let_32))) _let_39 :args (_let_11 true _let_32)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_92) (SCOPE (TRANS (SYMM (SYMM _let_92)) (CONG (REFL :args (tptp.status)) _let_59 :args _let_87)) :args _let_91)) :args _let_91)) :args (true _let_90)) _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 10)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_36)) :args ((or _let_13 _let_32))) _let_39 :args (_let_13 true _let_32)) :args (_let_42 false _let_6 false _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89) (REWRITE :args ((=> _let_50 (not (or _let_74 _let_73 _let_71 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_69)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) (REFL :args ((not _let_75))) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_73 _let_70 _let_76 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_88) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_4 V0) true))))) :args _let_88))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 6)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_36)) :args ((or _let_21 _let_32))) _let_39 :args (_let_21 true _let_32)) :args (_let_78 false _let_21)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_86 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG _let_83 (CONG (REFL :args (tptp.down)) _let_57 :args _let_87) :args (APPLY_UF tptp.setIn)) (FALSE_INTRO _let_86))) :args (_let_84 _let_6))) :args (_let_6 _let_84))) :args (true _let_85)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_71))) (REFL :args ((not _let_77))) :args _let_36)) _let_41 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG _let_57 _let_83 :args (APPLY_UF tptp.leq)) (FALSE_INTRO _let_82))) :args (_let_79 _let_6))) :args (_let_6 _let_79))) :args (true _let_81)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_74))) (REFL :args ((not _let_76))) :args _let_36)) _let_41 (CNF_OR_NEG :args (_let_75 3)) (CNF_OR_NEG :args (_let_75 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 1)) (CONG (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_36)) :args ((or _let_72 _let_75))) (CNF_OR_NEG :args (_let_75 0)) :args (_let_75 false _let_78 true _let_77 false _let_6 true _let_76 false _let_6 true _let_70 true _let_71 false _let_72 true _let_74)) :args (_let_49 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_68) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_18)) (SYMM (SYMM _let_68)) :args (APPLY_UF tptp.elem)) (TRUE_INTRO _let_67))) :args (_let_61 _let_30))) :args (_let_30 _let_61))) :args (true _let_66)) :args ((or _let_31 _let_47 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_36)) :args ((or _let_30 _let_32))) _let_39 :args (_let_30 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_61 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_62 1)) :args ((or _let_20 _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 7)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_36)) :args ((or _let_19 _let_32))) _let_39 :args (_let_19 true _let_32)) :args (_let_62 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_18 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_64))) _let_65 :args (_let_63 false _let_2)) :args (_let_61 false _let_62 false _let_63)) :args (_let_47 false _let_30 false _let_61)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_60) (SCOPE (TRANS (SYMM (SYMM _let_60)) _let_59) :args _let_55)) :args _let_55)) :args (true _let_54)) _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 9)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_36)) :args ((or _let_15 _let_32))) _let_39 :args (_let_15 true _let_32)) :args (_let_45 false _let_6 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.host Pid0) (tptp.m_Down Pid20) (tptp.host Pid30) (not (= (tptp.setIn Z tptp.alive) false))))) :args _let_53)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_35 :args (9))) :args (_let_51 false _let_52)) :args (_let_44 false _let_24 false _let_11 false _let_42 false _let_49 false _let_47 false _let_45 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 8)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_8))) :args _let_36)) :args ((or _let_8 _let_32))) _let_39 :args (_let_8 true _let_32)) _let_41 :args (false true _let_9 false _let_8 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 $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq _let_3 tptp.nbr_proc) (forall ((P $$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)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Halt Z)))) (forall ((X $$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 $$unsorted)) (not (= (tptp.m_NotNorm X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))) (forall ((X $$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))) _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))) (forall ((X $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.57  )
% 0.18/0.57  % SZS output end Proof for SWV473+1
% 0.18/0.57  % cvc5---1.0.5 exiting
% 0.18/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------