TSTP Solution File: SWV463+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:51:37 EDT 2023
% Result : Theorem 0.23s 0.76s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 09:52:47 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.76 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Jmb1r13EYj/cvc5---1.0.5_9883.p...
% 0.23/0.76 ------- get file name : TPTP file name is SWV463+1
% 0.23/0.76 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9883.smt2...
% 0.23/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.76 % SZS status Theorem for SWV463+1
% 0.23/0.76 % SZS output start Proof for SWV463+1
% 0.23/0.76 (
% 0.23/0.76 (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))) (=> (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_Ack W Y) V))) (=> (tptp.setIn X tptp.alive) (=> (and (= (tptp.index tptp.elid _let_1) W) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.host Y) _let_2)) (=> (tptp.leq tptp.nbr_proc _let_2) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (or (tptp.setIn _let_1 (tptp.index tptp.acks (tptp.host X))) (= _let_1 (tptp.host Y))) (forall ((V0 $$unsorted)) (=> (not (= (tptp.host X) (tptp.host V0))) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host V0))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.snoc (tptp.queue _let_2) (tptp.m_Ldr X)))) (=> (= (tptp.host Z) _let_2) (=> (not (= (tptp.host X) _let_2)) (=> (and (tptp.setIn Y0 tptp.alive) (tptp.leq tptp.nbr_proc _let_4) (tptp.elem (tptp.m_Down X0) _let_5) (tptp.elem (tptp.m_Ack Y0 W0) _let_5) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host W0) _let_3) (= (tptp.host X0) _let_4)) (not (and (tptp.setIn V0 tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Ldr Z)))))) (let ((_let_5 (forall ((Pid0 $$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_6 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.index tptp.pendack _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (= _let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (= _let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (= tptp.elec_2 (tptp.index tptp.status _let_6)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.leq tptp.nbr_proc _let_8))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.queue _let_6))) (let ((_let_18 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (tptp.elem _let_18 _let_17))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_22 (tptp.elem _let_21 _let_17))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_20 _let_16 _let_14 _let_12 _let_10))) (let ((_let_27 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))) (let ((_let_28 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_29 (= tptp.norm (tptp.index tptp.status _let_28)))) (let ((_let_30 (not _let_29))) (let ((_let_31 (= _let_28 (tptp.index tptp.ldr _let_28)))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30))) (let ((_let_36 (not _let_27))) (let ((_let_37 (not _let_35))) (let ((_let_38 (tptp.m_Ldr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_39 (tptp.snoc _let_17 _let_38))) (let ((_let_40 (tptp.elem _let_18 _let_39))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.elem _let_21 _let_39))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_46 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (tptp.index tptp.pendack _let_44))) (let ((_let_48 (or (not (= (tptp.queue _let_44) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_44) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_44))) (not (= _let_47 _let_46)) (not (tptp.leq tptp.nbr_proc _let_47)) (= _let_44 _let_28) _let_34 _let_32 _let_30 (and (not (tptp.setIn _let_45 (tptp.index tptp.acks _let_44))) (not (= _let_46 _let_45))) (not (= _let_45 _let_6)) (= _let_44 _let_6) _let_25 _let_16 _let_43 _let_41 _let_14 _let_12 _let_10))) (let ((_let_49 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2030 $$unsorted) (BOUND_VARIABLE_2028 $$unsorted) (BOUND_VARIABLE_2026 $$unsorted) (BOUND_VARIABLE_2024 $$unsorted) (BOUND_VARIABLE_2011 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2030))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.snoc (tptp.queue _let_1) (tptp.m_Ldr X)))) (let ((_let_5 (tptp.host X))) (let ((_let_6 (tptp.host BOUND_VARIABLE_2024))) (let ((_let_7 (tptp.host Y))) (let ((_let_8 (tptp.host BOUND_VARIABLE_2011))) (let ((_let_9 (tptp.index tptp.pendack _let_5))) (or (not (= (tptp.queue _let_5) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_5) Y) V))) (not (tptp.setIn X tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_5))) (not (= _let_9 _let_7)) (not (tptp.leq tptp.nbr_proc _let_9)) (= _let_5 _let_8) (not (tptp.setIn BOUND_VARIABLE_2011 tptp.alive)) (not (= _let_8 (tptp.index tptp.ldr _let_8))) (not (= tptp.norm (tptp.index tptp.status _let_8))) (and (not (tptp.setIn _let_6 (tptp.index tptp.acks _let_5))) (not (= _let_7 _let_6))) (not (= _let_6 _let_1)) (= _let_5 _let_1) (not (tptp.setIn BOUND_VARIABLE_2030 tptp.alive)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2028) _let_4)) (not (tptp.elem (tptp.m_Ack BOUND_VARIABLE_2030 BOUND_VARIABLE_2026) _let_4)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host BOUND_VARIABLE_2026))) (not (= _let_3 (tptp.host BOUND_VARIABLE_2028)))))))))))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (_let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) (NOT_OR_ELIM _let_51 :args (15)) :args (_let_50 true _let_49)))) (let ((_let_56 (REFL :args (_let_48)))) (let ((_let_57 (_let_27))) (let ((_let_58 (not _let_26))) (let ((_let_59 (= _let_21 _let_38))) (let ((_let_60 (or _let_59 _let_22))) (let ((_let_61 (= _let_42 _let_60))) (let ((_let_62 (_let_2))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.elem X (tptp.snoc Q Y))))) (let ((_let_65 (_let_3))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (= _let_38 _let_18))) (let ((_let_68 (or _let_67 _let_19))) (let ((_let_69 (= _let_40 _let_68))) (let ((_let_70 (_let_4))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down Pid20) (tptp.m_Ack Pid0 Pid30)))) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_16 _let_14 _let_12 _let_10 _let_20 _let_23 _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 12)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_52)) :args ((or _let_24 _let_48))) _let_55 :args (_let_24 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 13)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_52)) :args ((or _let_15 _let_48))) _let_55 :args (_let_15 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 16)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_52)) :args ((or _let_13 _let_48))) _let_55 :args (_let_13 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 17)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_52)) :args ((or _let_11 _let_48))) _let_55 :args (_let_11 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 18)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_52)) :args ((or _let_9 _let_48))) _let_55 :args (_let_9 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_19 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack X Y) (tptp.m_Ldr Z)))) :args _let_70))) _let_71 :args ((not _let_67) false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_41 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 15)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_52)) :args ((or _let_40 _let_48))) _let_55 :args (_let_40 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_18 _let_38 _let_17 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62))) _let_63 :args (_let_69 false _let_2)) :args (_let_68 false _let_40 false _let_69)) :args (_let_19 true _let_67 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_22 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down X) (tptp.m_Ldr Y)))) :args _let_65)) _let_66 :args ((not _let_59) false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_43 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 14)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_52)) :args ((or _let_42 _let_48))) _let_55 :args (_let_42 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_21 _let_38 _let_17 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_61 false _let_2)) :args (_let_60 false _let_42 false _let_61)) :args (_let_22 true _let_59 false _let_60)) :args (_let_58 false _let_24 false _let_15 false _let_13 false _let_11 false _let_9 false _let_19 false _let_22)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_51 :args (14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_5)) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_27))) :args _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.setIn Z tptp.alive) false))))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_30 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 6)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_52)) :args ((or _let_33 _let_48))) _let_55 :args (_let_33 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 7)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_52)) :args ((or _let_31 _let_48))) _let_55 :args (_let_31 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 8)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_52)) :args ((or _let_29 _let_48))) _let_55 :args (_let_29 true _let_48)) :args (_let_37 false _let_33 false _let_31 false _let_29)) :args (_let_36 true _let_35)) :args (_let_5 true _let_27)) :args (false true _let_26 false _let_5)) :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 (tptp.s tptp.zero) 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)))) _let_4 (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 $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))) _let_3 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NormQ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NormQ X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_NormQ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NormQ X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Halt X) (tptp.m_Halt Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_NormQ X) (tptp.m_NormQ Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_NotNorm X) (tptp.m_NotNorm Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Ldr X) (tptp.m_Ldr Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Down X) (tptp.m_Down Y))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= X1 X2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= Y1 Y2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))) (forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (not (= (tptp.host Pid) (tptp.host Pid2))) (not (= Pid Pid2)))) (not (tptp.setIn tptp.nil tptp.alive)) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.head (tptp.cons X Q)) X)) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.tail (tptp.cons X Q)) Q)) (forall ((Y $$unsorted) (Q $$unsorted)) (= (tptp.last (tptp.snoc Q Y)) Y)) (forall ((Y $$unsorted) (Q $$unsorted)) (= (tptp.init (tptp.snoc Q Y)) Q)) (forall ((Q $$unsorted)) (or (= Q tptp.q_nil) (= Q (tptp.cons (tptp.head Q) (tptp.tail Q))))) (forall ((Q $$unsorted)) (or (= Q tptp.q_nil) (= Q (tptp.snoc (tptp.init Q) (tptp.last Q))))) (forall ((X $$unsorted) (Q $$unsorted)) (not (= tptp.q_nil (tptp.cons X Q)))) (forall ((Y $$unsorted) (Q $$unsorted)) (not (= tptp.q_nil (tptp.snoc Q Y)))) (forall ((X $$unsorted)) (= (tptp.cons X tptp.q_nil) (tptp.snoc tptp.q_nil X))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.snoc (tptp.cons X Q) Y) (tptp.cons X (tptp.snoc Q Y)))) (forall ((X $$unsorted)) (not (tptp.elem X tptp.q_nil))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))) _let_2 (forall ((X $$unsorted)) (= (tptp.pidElem X) (exists ((Y $$unsorted)) (or (= X (tptp.m_Halt Y)) (= X (tptp.m_Down Y)))))) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Halt X)) X)) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Down X)) X)) (tptp.ordered tptp.q_nil) (forall ((X $$unsorted)) (and (tptp.ordered (tptp.cons X tptp.q_nil)) (tptp.ordered (tptp.snoc tptp.q_nil X)))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.cons X Q)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg Y))) (let ((_let_2 (tptp.pidMsg X))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_1) (tptp.host _let_2))) (tptp.leq _let_2 _let_1)))))))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.snoc Q X)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg X))) (let ((_let_2 (tptp.pidMsg Y))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_2) (tptp.host _let_1))) (tptp.leq _let_2 _let_1)))))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ack X Y))))) (forall ((Q $$unsorted) (X $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ldr X))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.ordered (tptp.cons (tptp.m_Halt X) Q)) (= (tptp.host X) (tptp.host Y)) (tptp.elem (tptp.m_Down Y) Q)) (tptp.leq X Y))) (forall ((X $$unsorted)) (not (tptp.leq (tptp.s X) X))) (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.leq X _let_1) (or (= X _let_1) (tptp.leq X Y))))) (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.76 )
% 0.23/0.76 % SZS output end Proof for SWV463+1
% 0.23/0.76 % cvc5---1.0.5 exiting
% 0.23/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------