%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 21:51:35 EDT 2023

% Result   : Theorem 0.36s 0.56s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 04:10:11 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.I2k8LYnBC0/cvc5---1.0.5_13484.p...
% 0.36/0.56  ------- get file name : TPTP file name is SWV455+1
% 0.36/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13484.smt2...
% 0.36/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.36/0.56  % SZS status Theorem for SWV455+1
% 0.36/0.56  % SZS output start Proof for SWV455+1
% 0.36/0.56  (
% 0.36/0.56  (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)) (=> (tptp.setIn Pid0 tptp.alive) (not (tptp.elem (tptp.m_Down Pid0) (tptp.queue (tptp.host Z)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (tptp.elem (tptp.m_Down Pid0) (tptp.queue (tptp.host Z))) (not (tptp.setIn Pid0 tptp.alive)))) (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 $$unsorted)) (=> (and (not (tptp.setIn Z tptp.alive)) (tptp.leq Pid0 Z) (= (tptp.host Pid0) (tptp.host Z))) (not (tptp.setIn Pid0 tptp.alive)))) (forall ((Z $$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) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= (tptp.host Pid30) _let_2) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2)) (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1)))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (=> (tptp.setIn X tptp.alive) (=> (not (tptp.leq _let_1 _let_3)) (=> (not (or (and (= (tptp.index tptp.ldr _let_1) _let_3) (= _let_2 tptp.norm)) (and (= _let_2 tptp.wait) (= _let_3 (tptp.host (tptp.index tptp.elid _let_1)))))) (=> (not (and (forall ((Z $$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))) (forall ((Z $$unsorted)) (=> (not (= (tptp.host X) (tptp.host Z))) (forall ((W0 $$unsorted) (X0 $$unsorted)) (=> (= (tptp.host X) (tptp.host X0)) (forall ((Y0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host X0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Z tptp.alive) (tptp.setIn X0 tptp.alive) (= (tptp.host W0) _let_1) (= (tptp.host Y0) _let_2)) (not (and (tptp.elem (tptp.m_Down W0) V) (tptp.elem (tptp.m_Down Y0) (tptp.queue _let_1)))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_3 (tptp.s tptp.zero))) (let ((_let_4 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_5 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_6 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive))) (let ((_let_9 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.queue _let_5)))) (let ((_let_10 (= _let_5 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_11 (tptp.queue _let_6))) (let ((_let_12 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (tptp.elem _let_12 _let_11))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not _let_9))) (let ((_let_16 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_17 (= _let_6 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (not _let_10))) (let ((_let_20 (not _let_4))) (let ((_let_21 (not _let_8))) (let ((_let_22 (or _let_7 _let_21 _let_20 _let_19 _let_18 _let_15 _let_14))) (let ((_let_23 (tptp.elem _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (= _let_25 _let_16))) (let ((_let_27 (not _let_26))) (let ((_let_28 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive)))) (let ((_let_29 (= _let_5 _let_25))) (let ((_let_30 (= _let_6 _let_25))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.index tptp.status _let_6))) (let ((_let_33 (= tptp.elec_1 _let_32))) (let ((_let_34 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.index tptp.down _let_6)))) (let ((_let_36 (not (tptp.leq _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_37 (tptp.leq _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_38 (and (= tptp.wait _let_32) (= _let_34 (tptp.host (tptp.index tptp.elid _let_6)))))) (let ((_let_39 (and (= _let_34 (tptp.index tptp.ldr _let_6)) (= tptp.norm _let_32)))) (let ((_let_40 (tptp.leq _let_6 _let_34))) (let ((_let_41 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (tptp.cons _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (= _let_11 _let_42))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_20 _let_40 _let_39 _let_38 (and (or _let_37 _let_36 _let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_34)) _let_33) _let_7 _let_21 _let_31 _let_29 _let_28 _let_27 _let_15 _let_19 _let_24))) (let ((_let_46 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1714 $$unsorted) (BOUND_VARIABLE_1710 $$unsorted) (BOUND_VARIABLE_1708 $$unsorted) (BOUND_VARIABLE_1712 $$unsorted) (BOUND_VARIABLE_1699 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1708))) (let ((_let_2 (tptp.host BOUND_VARIABLE_1714))) (let ((_let_3 (tptp.host X))) (let ((_let_4 (tptp.index tptp.status _let_3))) (let ((_let_5 (tptp.host Y))) (or (not (= (tptp.queue _let_3) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_3 _let_5) (and (= _let_5 (tptp.index tptp.ldr _let_3)) (= tptp.norm _let_4)) (and (= tptp.wait _let_4) (= _let_5 (tptp.host (tptp.index tptp.elid _let_3)))) (and (or (tptp.leq _let_3 BOUND_VARIABLE_1699) (not (tptp.leq (tptp.s tptp.zero) BOUND_VARIABLE_1699)) (tptp.setIn BOUND_VARIABLE_1699 (tptp.index tptp.down _let_3)) (= _let_5 BOUND_VARIABLE_1699)) (= tptp.elec_1 _let_4)) (= _let_3 _let_1) (not (tptp.setIn BOUND_VARIABLE_1708 tptp.alive)) (not (= _let_3 _let_2)) (= _let_1 _let_2) (not (tptp.setIn BOUND_VARIABLE_1714 tptp.alive)) (not (= _let_2 (tptp.host BOUND_VARIABLE_1712))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1712) (tptp.queue _let_1))) (not (= _let_1 (tptp.host BOUND_VARIABLE_1710))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1710) V))))))))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or))) (let ((_let_50 (not _let_46))) (let ((_let_51 (_let_50))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51) (REWRITE :args ((=> _let_50 (not (or _let_44 _let_20 _let_40 _let_39 _let_38 (and (or _let_37 _let_36 _let_35 (= _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) _let_33) _let_7 _let_21 _let_31 _let_29 _let_28 _let_27 _let_15 _let_19 _let_24))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_46))) (REFL :args (_let_47)) :args _let_49)) (NOT_OR_ELIM _let_48 :args (8)) :args (_let_47 true _let_46)))) (let ((_let_53 (REFL :args (_let_45)))) (let ((_let_54 (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (or (= _let_1 _let_2) (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid20 tptp.alive)) (not (= _let_2 (tptp.host Pid30))) (not (= _let_1 (tptp.host Pid0))) (not (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2))) (not (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1))))))))) (let ((_let_55 (_let_54))) (let ((_let_56 (tptp.elem _let_12 _let_42))) (let ((_let_57 (or (= _let_41 _let_12) _let_23))) (let ((_let_58 (= _let_56 _let_57))) (let ((_let_59 (_let_2))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 8)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_49)) :args ((or _let_30 _let_45))) _let_52 :args (_let_30 true _let_45)))) (let ((_let_62 (and _let_43 _let_30 _let_56))) (let ((_let_63 (ASSUME :args (_let_56)))) (let ((_let_64 (APPLY_UF tptp.elem))) (let ((_let_65 (ASSUME :args (_let_43)))) (let ((_let_66 (ASSUME :args (_let_30)))) (let ((_let_67 (SYMM (SYMM _let_66)))) (let ((_let_68 (CONG (SYMM _let_67) :args (APPLY_UF tptp.queue)))) (let ((_let_69 (REFL :args (_let_12)))) (let ((_let_70 (and _let_30 _let_26))) (let ((_let_71 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_20 _let_7 _let_21 _let_15 _let_19 _let_18 _let_14 (not _let_22)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_66) (SCOPE (TRANS _let_67 (SYMM (SYMM _let_71))) :args (_let_26 _let_30))) :args (_let_30 _let_26))) :args (true _let_70)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 11)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_49)) :args ((or _let_26 _let_45))) _let_52 :args (_let_26 true _let_45)) :args (_let_17 false _let_30 false _let_26)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_65 _let_66) (SCOPE (TRUE_ELIM (TRANS (CONG _let_69 (SYMM _let_68) :args _let_64) (CONG _let_69 (TRANS _let_68 (SYMM (SYMM _let_65))) :args _let_64) (TRUE_INTRO _let_63))) :args (_let_56 _let_43 _let_30))) :args (_let_43 _let_30 _let_56))) :args (true _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_49)) :args ((or _let_43 _let_45))) _let_52 :args (_let_43 true _let_45)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_56 (not _let_57) (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_57 1)) :args ((or _let_24 _let_57))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 14)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_49)) :args ((or _let_23 _let_45))) _let_52 :args (_let_23 true _let_45)) :args (_let_57 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_12 _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_59))) _let_60 :args (_let_58 false _let_2)) :args (_let_56 false _let_57 false _let_58)) :args (_let_13 false _let_43 false _let_30 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_55) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((tptp.host Pid20) (tptp.host Z) (tptp.host Pid30) (tptp.host Pid0)))) :args _let_55)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_48 :args (7))) :args (_let_22 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 13)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_10))) :args _let_49)) :args ((or _let_10 _let_45))) _let_52 :args (_let_10 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 12)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_9))) :args _let_49)) :args ((or _let_9 _let_45))) _let_52 :args (_let_9 true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 7)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_8))) :args _let_49)) :args ((or _let_8 _let_45))) _let_52 :args (_let_8 true _let_45)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_45 6)) _let_52 :args ((not _let_7) true _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_4))) :args _let_49)) :args ((or _let_4 _let_45))) _let_52 :args (_let_4 true _let_45)) :args (false false _let_17 false _let_13 false _let_22 false _let_10 false _let_9 false _let_8 true _let_7 false _let_4)) :args ((forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid Pid2) (tptp.queue (tptp.host Pid))) (and (tptp.setIn Pid tptp.pids) (tptp.setIn Pid2 tptp.pids)))) (forall ((P $$unsorted) (Q $$unsorted)) (let ((_let_1 (tptp.host Q))) (let ((_let_2 (tptp.host P))) (=> (= (tptp.s _let_2) _let_1) (not (= _let_2 _let_1)))))) (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq _let_3 tptp.nbr_proc) (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)) (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Halt Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Down Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_NotNorm Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Ldr Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_NormQ Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NotNorm X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NormQ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NormQ X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_Halt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_NormQ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Ldr X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_NormQ X) (tptp.m_NotNorm Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Halt X) (tptp.m_Halt Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_NormQ X) (tptp.m_NormQ Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_NotNorm X) (tptp.m_NotNorm Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Ldr X) (tptp.m_Ldr Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Down X) (tptp.m_Down Y))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= X1 X2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= Y1 Y2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))) (forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (not (= (tptp.host Pid) (tptp.host Pid2))) (not (= Pid Pid2)))) (not (tptp.setIn tptp.nil tptp.alive)) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.head (tptp.cons X Q)) X)) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.tail (tptp.cons X Q)) Q)) (forall ((Y $$unsorted) (Q $$unsorted)) (= (tptp.last (tptp.snoc Q Y)) Y)) (forall ((Y $$unsorted) (Q $$unsorted)) (= (tptp.init (tptp.snoc Q Y)) Q)) (forall ((Q $$unsorted)) (or (= Q tptp.q_nil) (= Q (tptp.cons (tptp.head Q) (tptp.tail Q))))) (forall ((Q $$unsorted)) (or (= Q tptp.q_nil) (= Q (tptp.snoc (tptp.init Q) (tptp.last Q))))) (forall ((X $$unsorted) (Q $$unsorted)) (not (= tptp.q_nil (tptp.cons X Q)))) (forall ((Y $$unsorted) (Q $$unsorted)) (not (= tptp.q_nil (tptp.snoc Q Y)))) (forall ((X $$unsorted)) (= (tptp.cons X tptp.q_nil) (tptp.snoc tptp.q_nil X))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.snoc (tptp.cons X Q) Y) (tptp.cons X (tptp.snoc Q Y)))) (forall ((X $$unsorted)) (not (tptp.elem X tptp.q_nil))) _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))) (forall ((X $$unsorted)) (= (tptp.pidElem X) (exists ((Y $$unsorted)) (or (= X (tptp.m_Halt Y)) (= X (tptp.m_Down Y)))))) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Halt X)) X)) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Down X)) X)) (tptp.ordered tptp.q_nil) (forall ((X $$unsorted)) (and (tptp.ordered (tptp.cons X tptp.q_nil)) (tptp.ordered (tptp.snoc tptp.q_nil X)))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.cons X Q)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg Y))) (let ((_let_2 (tptp.pidMsg X))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_1) (tptp.host _let_2))) (tptp.leq _let_2 _let_1)))))))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.snoc Q X)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg X))) (let ((_let_2 (tptp.pidMsg Y))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_2) (tptp.host _let_1))) (tptp.leq _let_2 _let_1)))))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ack X Y))))) (forall ((Q $$unsorted) (X $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ldr X))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.ordered (tptp.cons (tptp.m_Halt X) Q)) (= (tptp.host X) (tptp.host Y)) (tptp.elem (tptp.m_Down Y) Q)) (tptp.leq X Y))) (forall ((X $$unsorted)) (not (tptp.leq (tptp.s X) X))) (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.leq X _let_1) (or (= X _let_1) (tptp.leq X Y))))) (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof for SWV455+1
% 0.36/0.56  % cvc5---1.0.5 exiting
% 0.36/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------