%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 21:51:34 EDT 2023

% Result   : Theorem 0.21s 0.63s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n025.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 03:37:25 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Qx6lVsxtn9/cvc5---1.0.5_27184.p...
% 0.21/0.63  ------- get file name : TPTP file name is SWV449+1
% 0.21/0.63  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27184.smt2...
% 0.21/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63  % SZS status Theorem for SWV449+1
% 0.21/0.63  % SZS output start Proof for SWV449+1
% 0.21/0.63  (
% 0.21/0.63  (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)) (=> (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 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= (tptp.host Pid30) _let_2) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2)) (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1)))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Ack W Y) V))) (=> (tptp.setIn X tptp.alive) (=> (and (= (tptp.index tptp.elid _let_1) W) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.host Y) _let_2)) (=> (tptp.leq tptp.nbr_proc _let_2) (forall ((Z $$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 $$unsorted)) (let ((_let_1 (tptp.host V0))) (=> (= (tptp.host Z) _let_1) (=> (= (tptp.host X) _let_1) (forall ((W0 $$unsorted) (X0 $$unsorted)) (let ((_let_1 (tptp.host X0))) (=> (not (= (tptp.host Z) _let_1)) (=> (not (= (tptp.host X) _let_1)) (forall ((Y0 $$unsorted)) (let ((_let_1 (tptp.host X0))) (let ((_let_2 (tptp.host V0))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn V0 tptp.alive) (tptp.setIn X0 tptp.alive) (= (tptp.host W0) _let_2) (= (tptp.host Y0) _let_1)) (not (and (tptp.elem (tptp.m_Down W0) (tptp.queue _let_1)) (tptp.elem (tptp.m_Down Y0) (tptp.snoc V (tptp.m_Ldr X)))))))))))))))))))))))))))))) (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 $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))))) (let ((_let_5 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.m_Ack (tptp.index tptp.elid _let_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.cons _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.queue _let_5))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.elem _let_10 _let_7))) (let ((_let_12 (tptp.elem _let_10 _let_8))) (let ((_let_13 (tptp.m_Ldr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.elem _let_10 (tptp.snoc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (= _let_16 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.queue _let_16)))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (= _let_5 _let_16))) (let ((_let_25 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_26 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_27 (= _let_23 _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (= _let_5 _let_23))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (tptp.index tptp.pendack _let_5))) (let ((_let_33 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_34 (not _let_33))) (let ((_let_35 (not _let_9))) (let ((_let_36 (or _let_35 _let_34 (not (= tptp.elec_2 (tptp.index tptp.status _let_5))) (not (= _let_32 _let_31)) (not (tptp.leq tptp.nbr_proc _let_32)) (and (not (tptp.setIn _let_25 (tptp.index tptp.acks _let_5))) (not (= _let_31 _let_25))) (not (= _let_25 _let_23)) _let_30 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive)) _let_28 (= _let_25 _let_16) _let_24 (= _let_23 _let_16) _let_22 _let_20 _let_18 _let_15))) (let ((_let_37 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1740 $$unsorted) (BOUND_VARIABLE_1738 $$unsorted) (BOUND_VARIABLE_1736 $$unsorted) (BOUND_VARIABLE_1734 $$unsorted) (BOUND_VARIABLE_1732 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1736))) (let ((_let_2 (tptp.host BOUND_VARIABLE_1740))) (let ((_let_3 (tptp.host X))) (let ((_let_4 (tptp.host BOUND_VARIABLE_1732))) (let ((_let_5 (tptp.host Y))) (let ((_let_6 (tptp.index tptp.pendack _let_3))) (or (not (= (tptp.queue _let_3) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_3) Y) V))) (not (tptp.setIn X tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_3))) (not (= _let_6 _let_5)) (not (tptp.leq tptp.nbr_proc _let_6)) (and (not (tptp.setIn _let_4 (tptp.index tptp.acks _let_3))) (not (= _let_5 _let_4))) (not (= _let_4 _let_2)) (not (= _let_3 _let_2)) (not (tptp.setIn BOUND_VARIABLE_1740 tptp.alive)) (not (= _let_2 (tptp.host BOUND_VARIABLE_1734))) (= _let_4 _let_1) (= _let_3 _let_1) (= _let_2 _let_1) (not (tptp.setIn BOUND_VARIABLE_1736 tptp.alive)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1734) (tptp.queue _let_1))) (not (= _let_1 (tptp.host BOUND_VARIABLE_1738))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1738) (tptp.snoc V (tptp.m_Ldr X)))))))))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) (NOT_OR_ELIM _let_39 :args (8)) :args (_let_38 true _let_37)))) (let ((_let_44 (REFL :args (_let_36)))) (let ((_let_45 (tptp.elem _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (or (= _let_6 _let_10) _let_45))) (let ((_let_47 (= _let_11 _let_46))) (let ((_let_48 (_let_3))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (= _let_10 _let_13))) (let ((_let_51 (or _let_50 _let_45))) (let ((_let_52 (= _let_14 _let_51))) (let ((_let_53 (_let_2))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (_let_4))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_12))) (let ((_let_58 (= _let_5 _let_26))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_24 _let_22 _let_34 _let_18 _let_59 _let_20 _let_57))) (let ((_let_61 (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_62 (_let_61))) (let ((_let_63 (and _let_29 _let_27))) (let ((_let_64 (ASSUME :args (_let_27)))) (let ((_let_65 (ASSUME :args (_let_29)))) (let ((_let_66 (ASSUME :args (_let_57)))) (let ((_let_67 (ASSUME :args (_let_9)))) (let ((_let_68 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_67 _let_68) :args (_let_9 _let_11 _let_57)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_68)) (CONG (REFL :args (_let_10)) (SYMM _let_67) :args (APPLY_UF tptp.elem)) (FALSE_INTRO _let_66))) :args (_let_57 _let_9 _let_11)) :args ((not (and _let_9 _let_11 _let_57)) SB_LITERAL))) (CONG (REFL :args (_let_35)) (REFL :args ((not _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_12))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_34 _let_24 _let_22 _let_20 _let_18 _let_59 _let_57 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_40)) :args ((or _let_33 _let_36))) _let_43 :args (_let_33 true _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 11)) _let_43 :args ((not _let_24) true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 13)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_40)) :args ((or _let_21 _let_36))) _let_43 :args (_let_21 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 14)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_40)) :args ((or _let_19 _let_36))) _let_43 :args (_let_19 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 15)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_40)) :args ((or _let_17 _let_36))) _let_43 :args (_let_17 true _let_36)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_65) (SCOPE (TRANS (SYMM (SYMM _let_65)) (SYMM (SYMM _let_64))) :args (_let_27 _let_29))) :args (_let_29 _let_27))) :args (true _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 7)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_40)) :args ((or _let_29 _let_36))) _let_43 :args (_let_29 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 9)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_40)) :args ((or _let_27 _let_36))) _let_43 :args (_let_27 true _let_36)) :args (_let_58 false _let_29 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :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.m_Down Pid0) (tptp.host Pid30)))) :args _let_62)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_39 :args (7))) :args (_let_60 false _let_61)) :args (_let_57 false _let_33 true _let_24 false _let_21 false _let_19 false _let_17 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_11 (not _let_46) (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_46 1)) :args ((or (not _let_45) _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_45 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :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_55)) _let_56 :args ((not _let_50) false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_52)) :args ((or _let_15 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 16)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_40)) :args ((or _let_14 _let_36))) _let_43 :args (_let_14 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_10 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.snoc Q Y))))) :args _let_53)) _let_54 :args (_let_52 false _let_2)) :args (_let_51 false _let_14 false _let_52)) :args (_let_45 true _let_50 false _let_51)) :args (_let_46 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_10 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_48))) _let_49 :args (_let_47 false _let_3)) :args (_let_11 false _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_9))) :args _let_40)) :args ((or _let_9 _let_36))) _let_43 :args (_let_9 true _let_36)) :args (false true _let_12 false _let_11 false _let_9)) :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 $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_NotNorm Z)))) (forall ((X $$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 $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))) _let_4 (forall ((X $$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_3 _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.64  )
% 0.21/0.64  % SZS output end Proof for SWV449+1
% 0.21/0.64  % cvc5---1.0.5 exiting
% 0.21/0.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------