TSTP Solution File: SWV466+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 21:51:38 EDT 2023
% Result : Theorem 1.04s 1.26s
% Output : Proof 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 08:42:00 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 1.04/1.26 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mcgvtzTp1o/cvc5---1.0.5_27784.p...
% 1.04/1.26 ------- get file name : TPTP file name is SWV466+1
% 1.04/1.26 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27784.smt2...
% 1.04/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.04/1.26 % SZS status Theorem for SWV466+1
% 1.04/1.26 % SZS output start Proof for SWV466+1
% 1.04/1.26 (
% 1.04/1.26 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.host Y))) (=> (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 Z))) (=> (tptp.elem (tptp.m_Halt Pid0) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Pid0)))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue (tptp.host Pid20))) (not (tptp.leq (tptp.host Z) (tptp.host Pid0))))) (forall ((Z $$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) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1))) (tptp.leq (tptp.host Z) (tptp.index tptp.pendack _let_1))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1)))))) (forall ((Z $$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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Pid0))) (= (tptp.host Pid20) _let_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Pid20)) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack Z Pid20) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.host Z))) (=> (and (not (tptp.leq _let_2 _let_1)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 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 ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (tptp.leq (tptp.index tptp.pendack _let_2) _let_1)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Halt Pid0) (tptp.queue (tptp.host Pid20))) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((Z $$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)))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (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 Pid20) _let_5) (tptp.elem (tptp.m_Ack Pid0 Pid30) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Pid30) _let_3) (= (tptp.host Pid20) _let_4)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (=> (tptp.setIn X tptp.alive) (=> (tptp.leq _let_1 _let_3) (=> (and (= (tptp.index tptp.status _let_1) tptp.elec_2) (= _let_3 _let_2)) (=> (tptp.leq tptp.nbr_proc _let_2) (forall ((Z $$unsorted)) (=> (tptp.setIn (tptp.host Z) (tptp.index tptp.acks (tptp.host X))) (forall ((V0 $$unsorted)) (=> (= (tptp.host X) (tptp.host V0)) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.snoc (tptp.queue _let_2) (tptp.m_Ldr X)))) (=> (= (tptp.host Z) _let_2) (=> (not (= _let_1 _let_2)) (=> (and (tptp.setIn Y0 tptp.alive) (tptp.leq tptp.nbr_proc _let_4) (tptp.elem (tptp.m_Down X0) _let_5) (tptp.elem (tptp.m_Ack Y0 W0) _let_5) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host W0) _let_3) (= (tptp.host X0) _let_4)) (not (and (tptp.setIn V0 tptp.alive) (= _let_1 (tptp.host V0))))))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.leq X _let_1) (or (= X _let_1) (tptp.leq X Y))))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Down X)) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Ldr Z)))))) (let ((_let_10 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_11 (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)))))))) (let ((_let_12 (forall ((Pid0 $$unsorted) (Pid20 $$unsorted) (Pid30 $$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 Pid20) _let_4)) (not (tptp.elem (tptp.m_Ack Pid0 Pid30) _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 Pid30))) (not (= _let_3 (tptp.host Pid20))))))))))) (let ((_let_13 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_14 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (tptp.index tptp.pendack _let_14))) (let ((_let_16 (tptp.s _let_15))) (let ((_let_17 (= _let_16 _let_13))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_20 (= _let_15 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (= tptp.elec_2 (tptp.index tptp.status _let_14)))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.leq tptp.nbr_proc _let_16))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.queue _let_14))) (let ((_let_27 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_28 (tptp.elem _let_27 _let_26))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_31 (tptp.elem _let_30 _let_26))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_29 _let_25 _let_23 _let_21 _let_18))) (let ((_let_36 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_37 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_38 (tptp.index tptp.pendack _let_37))) (let ((_let_39 (tptp.s _let_38))) (let ((_let_40 (= _let_39 _let_36))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_43 (= _let_38 _let_42))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.leq tptp.nbr_proc _let_39))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.queue _let_37))) (let ((_let_48 (or (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.alive)) (not (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_47)) (not (tptp.elem (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) _let_47)) _let_46 (not (= tptp.elec_2 (tptp.index tptp.status _let_37))) _let_44 _let_41))) (let ((_let_49 (tptp.leq _let_36 tptp.nbr_proc))) (let ((_let_50 (= tptp.nbr_proc _let_16))) (let ((_let_51 (tptp.leq _let_39 _let_16))) (let ((_let_52 (tptp.leq _let_39 tptp.nbr_proc))) (let ((_let_53 (tptp.leq _let_38 _let_15))) (let ((_let_54 (= _let_53 _let_51))) (let ((_let_55 (and _let_45 _let_52))) (let ((_let_56 (= tptp.nbr_proc _let_39))) (let ((_let_57 (= _let_55 _let_56))) (let ((_let_58 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (tptp.index tptp.pendack _let_58))) (let ((_let_60 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (= _let_60 _let_59))) (let ((_let_62 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_63 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.pidMsg _let_62)))) (let ((_let_64 (= tptp.nbr_proc _let_59))) (let ((_let_65 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_66 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 (tptp.pidMsg _let_65)))) (let ((_let_67 (= _let_58 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_68 (= _let_62 _let_65))) (let ((_let_69 (= _let_58 _let_39))) (let ((_let_70 (= _let_19 (tptp.s _let_19)))) (let ((_let_71 (= _let_15 _let_39))) (let ((_let_72 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_73 (= _let_72 _let_14))) (let ((_let_74 (tptp.index tptp.pendack _let_72))) (let ((_let_75 (tptp.leq _let_42 _let_74))) (let ((_let_76 (tptp.leq _let_58 _let_60))) (let ((_let_77 (tptp.leq _let_58 _let_39))) (let ((_let_78 (tptp.leq _let_19 tptp.nbr_proc))) (let ((_let_79 (tptp.leq _let_15 _let_39))) (let ((_let_80 (tptp.leq _let_58 _let_38))) (let ((_let_81 (or _let_69 _let_80))) (let ((_let_82 (= _let_77 _let_81))) (let ((_let_83 (tptp.leq _let_15 _let_38))) (let ((_let_84 (or _let_71 _let_83))) (let ((_let_85 (= _let_79 _let_84))) (let ((_let_86 (tptp.leq _let_74 _let_42))) (let ((_let_87 (and _let_86 _let_75))) (let ((_let_88 (= _let_42 _let_74))) (let ((_let_89 (= _let_87 _let_88))) (let ((_let_90 (= _let_58 _let_19))) (let ((_let_91 (= _let_58 _let_38))) (let ((_let_92 (tptp.leq _let_15 _let_58))) (let ((_let_93 (tptp.leq _let_38 _let_58))) (let ((_let_94 (and _let_80 _let_93))) (let ((_let_95 (= _let_94 _let_91))) (let ((_let_96 (or))) (let ((_let_97 (REFL :args (_let_48)))) (let ((_let_98 (_let_10))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((tptp.host P)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_49 false _let_10)))) (let ((_let_102 (tptp.leq _let_16 tptp.nbr_proc))) (let ((_let_103 (and _let_24 _let_102))) (let ((_let_104 (= _let_103 _let_50))) (let ((_let_105 (_let_4))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 ((tptp.leq X Y)))) (let ((_let_108 (tptp.leq _let_13 tptp.nbr_proc))) (let ((_let_109 (tptp.m_Ldr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_110 (tptp.snoc _let_26 _let_109))) (let ((_let_111 (tptp.elem _let_27 _let_110))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.elem _let_30 _let_110))) (let ((_let_114 (not _let_113))) (let ((_let_115 (= _let_58 _let_14))) (let ((_let_116 (not _let_73))) (let ((_let_117 (not (tptp.setIn _let_72 (tptp.index tptp.acks _let_58))))) (let ((_let_118 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive)))) (let ((_let_119 (= _let_58 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.leq tptp.nbr_proc _let_59))) (let ((_let_122 (not _let_121))) (let ((_let_123 (not _let_61))) (let ((_let_124 (= tptp.elec_2 (tptp.index tptp.status _let_58)))) (let ((_let_125 (not _let_124))) (let ((_let_126 (not _let_76))) (let ((_let_127 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.cons _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_130 (tptp.queue _let_58))) (let ((_let_131 (= _let_130 _let_129))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_128 _let_126 _let_125 _let_123 _let_122 _let_120 _let_118 _let_117 _let_116 _let_115 _let_34 _let_25 _let_114 _let_112 _let_23 _let_21 _let_18))) (let ((_let_134 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down Pid0) (tptp.host Z)))) :args _let_195)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_136 :args (1))) :args (_let_193 false _let_194)) :args (_let_190 false _let_191 false _let_193)) _let_171 _let_189 _let_181 :args (_let_183 true _let_182 false _let_63 false _let_68 false _let_66)) _let_181 _let_180 _let_171 _let_166 (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_56 (not _let_55) (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.nbr_proc _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_57 false _let_4)) (REORDERING (CNF_AND_NEG :args (_let_55)) :args ((or _let_46 _let_55 (not _let_52)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_54)) :args ((or _let_53 (not _let_51) (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_38 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.leq (tptp.s X) (tptp.s Y))))) :args _let_164)) _let_165 :args (_let_54 false _let_3)) (REORDERING (RESOLUTION _let_162 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_161 (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_39)) _let_157 :args _let_144) _let_160 _let_156)) :args _let_154)) :args _let_153)) :args _let_152) :args ((or _let_41 _let_52 (not _let_49) _let_163))) _let_150 _let_101 (RESOLUTION _let_162 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_161 (SCOPE (TRUE_ELIM (TRANS _let_160 _let_156)) :args _let_154)) :args _let_153)) :args _let_152) _let_150 _let_101 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 6)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_96)) :args ((or _let_40 _let_48))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 5)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_96)) :args ((or _let_43 _let_48))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_97 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_96)) :args ((or _let_45 _let_48))) :args (_let_48 true _let_94 false _let_95 false _let_93 false _let_92 false _let_73 true _let_91 true _let_90 false _let_20 false _let_73 false _let_88 false _let_89 false _let_87 false _let_86 false _let_20 false _let_73 false _let_83 false _let_80 false _let_84 false _let_85 false _let_81 false _let_82 false _let_79 false _let_78 false _let_20 false _let_77 false _let_64 false _let_61 false _let_76 false _let_75 false _let_73 true _let_71 false _let_50 true _let_70 false _let_17 false _let_20 true _let_69 false _let_68 true _let_67 false _let_66 false _let_64 false _let_63 false _let_61 false _let_56 false _let_57 false _let_55 false _let_53 false _let_54 false _let_52 false _let_50 false _let_49 false _let_51 false _let_50 false _let_49 false _let_40 false _let_43 false _let_45)) :args (_let_12 false _let_48)) :args (false true _let_35 false _let_12)) :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)))) _let_11 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq (tptp.s tptp.zero) tptp.nbr_proc) _let_10 (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) (forall ((X $$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)))) _let_9 (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 $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))) _let_8 (forall ((X $$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_7 _let_6 (forall ((X $$unsorted)) (= (tptp.pidElem X) (exists ((Y $$unsorted)) (or (= X (tptp.m_Halt Y)) (= X (tptp.m_Down Y)))))) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Halt X)) X)) _let_5 (tptp.ordered tptp.q_nil) (forall ((X $$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))) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) _let_3 _let_2 (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.04/1.27 )
% 1.04/1.27 % SZS output end Proof for SWV466+1
% 1.04/1.27 % cvc5---1.0.5 exiting
% 1.04/1.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------