TSTP Solution File: SWV480+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV480+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 21:51:42 EDT 2023
% Result : Theorem 0.57s 0.80s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV480+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 04:21:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.57/0.80 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SGEcCmuuE2/cvc5---1.0.5_3964.p...
% 0.57/0.80 ------- get file name : TPTP file name is SWV480+1
% 0.57/0.80 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3964.smt2...
% 0.57/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.57/0.80 % SZS status Theorem for SWV480+1
% 0.57/0.80 % SZS output start Proof for SWV480+1
% 0.57/0.80 (
% 0.57/0.80 (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)) (=> (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) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (tptp.setIn _let_2 (tptp.index tptp.down _let_1)) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.setIn _let_1 (tptp.index tptp.down (tptp.host Z)))))))) (forall ((Z $$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) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1)) (= _let_2 (tptp.host Pid20)) (= (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 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.host Pid20) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Z)))))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.host Z))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.ldr _let_2) _let_2) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (= Pid0 Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid20))) (let ((_let_3 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_2 _let_3)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_3)) (= _let_2 _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 $$unsorted) (Pid30 $$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 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Z) (tptp.queue _let_2)) (= _let_1 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.ldr _let_2) _let_1)) (not (and (tptp.setIn Pid20 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1))))))) (forall ((Z $$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) (tptp.elem (tptp.m_Down Z) (tptp.queue _let_2)) (= _let_1 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.wait) (= (tptp.host (tptp.index tptp.elid _let_2)) _let_1)) (not (and (tptp.setIn Pid20 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (tptp.setIn Z tptp.alive) (tptp.leq _let_1 _let_2) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.host Pid30) _let_2) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Z Pid30) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_2))) (=> (and (forall ((V0 $$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.setIn Pid0 tptp.alive) (tptp.leq tptp.nbr_proc _let_3) (tptp.elem (tptp.m_Down Pid20) _let_4) (tptp.elem (tptp.m_Down Pid30) _let_4) (= (tptp.host Pid30) _let_3) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (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 $$unsorted)) (=> (not (tptp.setIn (tptp.host Z) (tptp.index tptp.acks (tptp.host X)))) (forall ((V0 $$unsorted)) (=> (= (tptp.host X) (tptp.host V0)) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_2))) (=> (not (= _let_1 _let_2)) (=> (and (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (and (not (tptp.leq _let_1 V1)) (tptp.leq (tptp.s tptp.zero) V1)) (or (tptp.setIn V1 (tptp.index tptp.down _let_1)) (= V1 (tptp.host X0)))))) (tptp.setIn Y0 tptp.alive) (tptp.leq tptp.nbr_proc _let_3) (tptp.elem (tptp.m_Down W0) _let_4) (tptp.elem (tptp.m_Down X0) _let_4) (= (tptp.host W0) _let_3) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (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)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))))) (let ((_let_4 (forall ((X $$unsorted)) (not (tptp.leq (tptp.s X) X))))) (let ((_let_5 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_6 (tptp.s tptp.zero))) (let ((_let_7 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))))) (let ((_let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.leq _let_8 _let_9))) (let ((_let_12 (tptp.leq _let_9 _let_8))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (= _let_10 _let_13))) (let ((_let_15 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (= _let_9 _let_17))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not (= tptp.elec_1 (tptp.index tptp.status _let_8))))) (let ((_let_21 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_22 (tptp.s _let_8))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.queue _let_8))) (let ((_let_26 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_25))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_25))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.leq tptp.nbr_proc _let_22))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive))) (let ((_let_33 (not _let_32))) (let ((_let_34 (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (or (tptp.leq _let_1 V1) (not (tptp.leq (tptp.s tptp.zero) V1)) (tptp.setIn V1 (tptp.index tptp.down _let_1)) (= V1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.setIn (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.index tptp.acks _let_9)))) (let ((_let_37 (tptp.index tptp.pendack _let_9))) (let ((_let_38 (tptp.leq tptp.nbr_proc _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_41 (= _let_40 _let_37))) (let ((_let_42 (not _let_41))) (let ((_let_43 (= tptp.elec_2 (tptp.index tptp.status _let_9)))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.leq _let_9 _let_40))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not (= (tptp.queue _let_9) (tptp.cons (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_50 (or _let_49 _let_48 _let_46 _let_44 _let_42 _let_39 _let_36 _let_10 _let_35 _let_33 _let_31 _let_29 _let_27 _let_24 _let_20 _let_19 _let_16))) (let ((_let_51 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2152 $$unsorted) (BOUND_VARIABLE_2160 $$unsorted) (BOUND_VARIABLE_2121 $$unsorted) (BOUND_VARIABLE_2119 $$unsorted) (BOUND_VARIABLE_2117 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host BOUND_VARIABLE_2117))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_2))) (let ((_let_5 (tptp.index tptp.pendack _let_1))) (let ((_let_6 (tptp.host Y))) (or (not (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (not (tptp.leq _let_1 _let_6)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_5 _let_6)) (not (tptp.leq tptp.nbr_proc _let_5)) (tptp.setIn (tptp.host BOUND_VARIABLE_2160) (tptp.index tptp.acks _let_1)) (= _let_1 _let_2) (not (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2117))) (or (tptp.leq _let_1 V1) (not (tptp.leq (tptp.s tptp.zero) V1)) (tptp.setIn V1 (tptp.index tptp.down _let_1)) (= V1 (tptp.host BOUND_VARIABLE_2119)))))) (not (tptp.setIn BOUND_VARIABLE_2117 tptp.alive)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2121) _let_4)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2119) _let_4)) (not (= _let_3 (tptp.host BOUND_VARIABLE_2121))) (not (= tptp.elec_1 (tptp.index tptp.status _let_2))) (not (= _let_1 (tptp.host BOUND_VARIABLE_2152))) (not (tptp.setIn BOUND_VARIABLE_2152 tptp.alive)))))))))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (or))) (let ((_let_55 (not _let_51))) (let ((_let_56 (_let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56) (REWRITE :args ((=> _let_55 (not (or _let_49 _let_48 _let_46 _let_44 (not (= _let_37 _let_40)) _let_39 _let_36 _let_10 _let_35 _let_33 _let_31 _let_29 _let_27 _let_24 _let_20 _let_19 _let_16))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_51))) (REFL :args (_let_52)) :args _let_54)) (NOT_OR_ELIM _let_53 :args (16)) :args (_let_52 true _let_51)))) (let ((_let_58 (tptp.leq _let_8 _let_17))) (let ((_let_59 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_60 (= _let_59 _let_17))) (let ((_let_61 (tptp.index tptp.down _let_8))) (let ((_let_62 (tptp.setIn _let_17 _let_61))) (let ((_let_63 (tptp.leq _let_6 _let_17))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_58 _let_64 _let_62 _let_60))) (let ((_let_66 (REFL :args (_let_50)))) (let ((_let_67 (_let_34))) (let ((_let_68 (= _let_9 _let_59))) (let ((_let_69 (not _let_60))) (let ((_let_70 (tptp.leq _let_37 _let_8))) (let ((_let_71 (not _let_68))) (let ((_let_72 (or _let_33 _let_48 _let_27 _let_71 _let_44 _let_70))) (let ((_let_73 (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1))) (not (= _let_2 (tptp.host Pid20))) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))))) (let ((_let_74 (NOT_NOT_ELIM (NOT_OR_ELIM _let_53 :args (6))))) (let ((_let_75 (_let_73))) (let ((_let_76 (tptp.m_Down Pid20))) (let ((_let_77 (not (= (tptp.setIn Z tptp.alive) false)))) (let ((_let_78 (ASSUME :args _let_75))) (let 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_let_26))) :args _let_54)) :args ((or _let_26 _let_50))) _let_57 :args (_let_26 true _let_50)) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING (_let_77 (tptp.host Pid0) _let_76))) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_47 false _let_43 false _let_32 false _let_26 true _let_70 false _let_72)) :args (_let_69 false _let_18 true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_6 V1) false))))) :args _let_67))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 8)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_54)) :args ((or _let_34 _let_50))) _let_57 :args (_let_34 true _let_50)) :args (_let_65 false _let_34)) :args (_let_58 false _let_63 true _let_62 true _let_60 false _let_65)) :args (_let_11 false _let_18 false _let_58)) :args (_let_13 false _let_12 false _let_11)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 7)) _let_57 :args ((not _let_10) true _let_50)) :args (false false _let_14 false _let_13 true _let_10)) :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)))))) _let_7 (tptp.leq _let_6 tptp.nbr_proc) _let_5 (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))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))) (forall ((X $$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 $$unsorted)) (=> (and (tptp.ordered (tptp.cons (tptp.m_Halt X) Q)) (= (tptp.host X) (tptp.host Y)) (tptp.elem (tptp.m_Down Y) Q)) (tptp.leq X Y))) _let_4 (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))) _let_2 (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.57/0.81 )
% 0.57/0.81 % SZS output end Proof for SWV480+1
% 0.57/0.81 % cvc5---1.0.5 exiting
% 0.57/0.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------