TSTP Solution File: SWV469+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 21:51:39 EDT 2023
% Result : Theorem 0.35s 0.65s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 04:33:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.65 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.erpjtGJqYc/cvc5---1.0.5_6361.p...
% 0.35/0.65 ------- get file name : TPTP file name is SWV469+1
% 0.35/0.65 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6361.smt2...
% 0.35/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.35/0.65 % SZS status Theorem for SWV469+1
% 0.35/0.65 % SZS output start Proof for SWV469+1
% 0.35/0.65 (
% 0.35/0.65 (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.status _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)) (=> (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)) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status (tptp.host Pid0)) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack Z Pid0) (tptp.queue (tptp.host Z)))))) (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 (not (tptp.leq _let_2 _let_1)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Pid20)) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1))))))) (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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Pid20) (tptp.queue (tptp.host Pid0))) (= (tptp.host Pid20) _let_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))) (forall ((Z $$unsorted) (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 $$unsorted) (Pid20 $$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 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.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 $$unsorted) (Pid0 $$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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.host Pid20) _let_1) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (not (tptp.leq _let_2 _let_1)) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (=> (tptp.setIn X tptp.alive) (=> (not (tptp.leq _let_1 _let_3)) (=> (not (or (and (= (tptp.index tptp.ldr _let_1) _let_3) (= _let_2 tptp.norm)) (and (= _let_2 tptp.wait) (= _let_3 (tptp.host (tptp.index tptp.elid _let_1)))))) (=> (and (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (and (not (tptp.leq _let_1 Z)) (tptp.leq (tptp.s tptp.zero) Z)) (or (tptp.setIn Z (tptp.index tptp.down _let_1)) (= Z (tptp.host Y)))))) (= _let_2 tptp.elec_1)) (=> (not (tptp.leq tptp.nbr_proc _let_1)) (forall ((Z $$unsorted)) (=> (not (= (tptp.host X) (tptp.host Z))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host X))) (=> (= _let_2 (tptp.host W0)) (=> (and (not (tptp.leq (tptp.s _let_2) _let_1)) (tptp.setIn W0 tptp.alive)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))))))))))))))))))) (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 $$unsorted) (Y $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_6 (tptp.s tptp.zero))) (let ((_let_7 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))))) (let ((_let_8 (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (or (not (tptp.setIn Pid0 tptp.alive)) (not (= tptp.norm (tptp.index tptp.status _let_1))) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn _let_1 (tptp.index tptp.down (tptp.host Z))))))))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.setIn _let_10 (tptp.index tptp.down _let_9)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= _let_10 (tptp.index tptp.ldr _let_10)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (= tptp.norm (tptp.index tptp.status _let_10)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_16 _let_14 _let_12))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (= _let_24 _let_10))) (let ((_let_26 (tptp.leq _let_6 _let_10))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.leq _let_9 _let_10))) (let ((_let_29 (or _let_28 _let_27 _let_11 _let_25))) (let ((_let_30 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= Z (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_31 (tptp.s _let_9))) (let ((_let_32 (tptp.leq _let_31 _let_10))) (let ((_let_33 (= _let_9 _let_10))) (let ((_let_34 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.alive)))) (let ((_let_35 (not (= _let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_36 (tptp.leq tptp.nbr_proc _let_9))) (let ((_let_37 (tptp.index tptp.status _let_9))) (let ((_let_38 (not (= tptp.elec_1 _let_37)))) (let ((_let_39 (not _let_30))) (let ((_let_40 (and (= tptp.wait _let_37) (= _let_24 (tptp.host (tptp.index tptp.elid _let_9)))))) (let ((_let_41 (and (= _let_24 (tptp.index tptp.ldr _let_9)) (= tptp.norm _let_37)))) (let ((_let_42 (tptp.leq _let_9 _let_24))) (let ((_let_43 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (tptp.cons _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (tptp.queue _let_9))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_14 _let_42 _let_41 _let_40 _let_39 _let_38 _let_36 _let_35 _let_34 _let_33 _let_32 _let_20 _let_16 _let_18))) (let ((_let_49 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2038 $$unsorted) (BOUND_VARIABLE_2030 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2038))) (let ((_let_2 (tptp.host X))) (let ((_let_3 (tptp.index tptp.status _let_2))) (let ((_let_4 (tptp.host Y))) (or (not (= (tptp.queue _let_2) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_2 _let_4) (and (= _let_4 (tptp.index tptp.ldr _let_2)) (= tptp.norm _let_3)) (and (= tptp.wait _let_3) (= _let_4 (tptp.host (tptp.index tptp.elid _let_2)))) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host X))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host Y) Z))))) (not (= tptp.elec_1 _let_3)) (tptp.leq tptp.nbr_proc _let_2) (not (= _let_2 (tptp.host BOUND_VARIABLE_2030))) (not (tptp.setIn BOUND_VARIABLE_2030 tptp.alive)) (= _let_2 _let_1) (tptp.leq (tptp.s _let_2) _let_1) (not (tptp.setIn BOUND_VARIABLE_2038 tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1))))))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (or))) (let ((_let_52 (not _let_49))) (let ((_let_53 (_let_52))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53) (REWRITE :args ((=> _let_52 (not (or _let_47 _let_14 _let_42 _let_41 _let_40 (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) Z))))) _let_38 _let_36 _let_35 _let_34 _let_33 _let_32 _let_20 _let_16 _let_18))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_49))) (REFL :args (_let_50)) :args _let_51)) (NOT_OR_ELIM _let_22 :args (16)) :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (_let_30))) (let ((_let_57 (tptp.leq _let_10 _let_9))) (let ((_let_58 (and _let_28 _let_57))) (let ((_let_59 (not _let_28))) (let ((_let_60 (= _let_33 _let_58))) (let ((_let_61 (not _let_58))) (let ((_let_62 (_let_3))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.leq X Y)))) (let ((_let_65 (= _let_10 _let_31))) (let ((_let_66 (or _let_65 _let_57))) (let ((_let_67 (tptp.leq _let_10 _let_31))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (_let_2))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (or _let_32 _let_67))) (let ((_let_72 (_let_4))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 11)) _let_54 :args ((not _let_32) true _let_48)))) (let ((_let_75 (and _let_32 _let_67))) (let ((_let_76 (= _let_75 _let_65))) (let ((_let_77 (not _let_65))) (let ((_let_78 (not _let_75))) (let ((_let_79 (_let_7))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (tptp.elem _let_43 _let_45))) (let ((_let_82 (not _let_81))) (let ((_let_83 (not _let_25))) (let ((_let_84 (or _let_20 _let_83 _let_18 _let_16 _let_14 _let_82))) (let ((_let_85 (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (or (not (tptp.setIn Pid0 tptp.alive)) (not (= _let_1 (tptp.host Pid20))) (not (= tptp.norm (tptp.index tptp.status _let_1))) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (tptp.setIn Z tptp.alive)) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Z))))))))) (let ((_let_86 (_let_85))) (let ((_let_87 (tptp.elem _let_43 _let_44))) (let ((_let_88 (_let_5))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (and _let_46 _let_87))) (let ((_let_91 (ASSUME :args (_let_87)))) (let ((_let_92 (ASSUME :args (_let_46)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 14)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_51)) :args ((or _let_17 _let_48))) _let_54 :args (_let_17 true _let_48)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING 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$$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_5 (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)) _let_4 _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.66 )
% 0.35/0.66 % SZS output end Proof for SWV469+1
% 0.35/0.66 % cvc5---1.0.5 exiting
% 0.35/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------