%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV460+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 0.12s 0.46s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem    : SWV460+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.09  % Command    : do_cvc5 %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Tue Aug 29 04:12:46 EDT 2023
% 0.08/0.28  % CPUTime    : 
% 0.12/0.37  %----Proving TF0_NAR, FOF, or CNF
% 0.12/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GD8QKblXGy/cvc5---1.0.5_31284.p...
% 0.12/0.46  ------- get file name : TPTP file name is SWV460+1
% 0.12/0.46  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31284.smt2...
% 0.12/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.12/0.46  % SZS status Theorem for SWV460+1
% 0.12/0.46  % SZS output start Proof for SWV460+1
% 0.12/0.46  (
% 0.12/0.46  (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_Halt Pid0) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Pid0)))))) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (= (tptp.index tptp.status _let_1) tptp.elec_2) (not (tptp.leq (tptp.index tptp.pendack _let_1) _let_1))))) (forall ((Z $$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)) (=> (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) (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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Pid20)) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack Z Pid20) (tptp.queue _let_1))))))) (forall ((Z $$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 $$unsorted) (Pid0 $$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))))))) (= (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)) (=> (= (tptp.host X) (tptp.host Z)) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.host W0))) (let ((_let_2 (tptp.host X))) (=> (not (= _let_2 _let_1)) (=> (and (not (tptp.leq (tptp.host Z) _let_1)) (tptp.setIn Z tptp.alive) (tptp.setIn W0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_2)) (not (tptp.leq (tptp.s _let_2) (tptp.index tptp.pendack _let_1))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))))) (let ((_let_3 (forall ((X $$unsorted)) (not (tptp.leq (tptp.s X) X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_5 (tptp.s tptp.zero))) (let ((_let_6 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))))) (let ((_let_7 (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.setIn _let_2 (tptp.index tptp.down _let_1))) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))))) (let ((_let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (tptp.index tptp.pendack _let_9))) (let ((_let_11 (tptp.leq _let_10 _let_8))) (let ((_let_12 (= tptp.elec_2 (tptp.index tptp.status _let_9)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.setIn _let_9 (tptp.index tptp.down _let_8)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_15 _let_13 _let_11))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= _let_23 _let_9))) (let ((_let_25 (tptp.leq _let_5 _let_9))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.leq _let_8 _let_9))) (let ((_let_28 (or _let_27 _let_26 _let_14 _let_24))) (let ((_let_29 (forall ((Z $$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_30 (tptp.s _let_8))) (let ((_let_31 (tptp.leq _let_30 _let_10))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_34 (tptp.leq _let_33 _let_9))) (let ((_let_35 (= _let_8 _let_9))) (let ((_let_36 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.alive)))) (let ((_let_37 (= _let_8 _let_33))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.leq tptp.nbr_proc _let_8))) (let ((_let_40 (tptp.index tptp.status _let_8))) (let ((_let_41 (not (= tptp.elec_1 _let_40)))) (let ((_let_42 (not _let_29))) (let ((_let_43 (and (= tptp.wait _let_40) (= _let_23 (tptp.host (tptp.index tptp.elid _let_8)))))) (let ((_let_44 (and (= _let_23 (tptp.index tptp.ldr _let_8)) (= tptp.norm _let_40)))) (let ((_let_45 (tptp.leq _let_8 _let_23))) (let ((_let_46 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_47 (tptp.cons _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (tptp.queue _let_8))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_19 _let_45 _let_44 _let_43 _let_42 _let_41 _let_39 _let_38 _let_36 _let_35 _let_34 _let_17 _let_13 _let_32))) (let ((_let_52 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1815 $$unsorted) (BOUND_VARIABLE_1813 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1815))) (let ((_let_2 (tptp.host X))) (let ((_let_3 (tptp.host BOUND_VARIABLE_1813))) (let ((_let_4 (tptp.index tptp.status _let_2))) (let ((_let_5 (tptp.host Y))) (or (not (= (tptp.queue _let_2) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_2 _let_5) (and (= _let_5 (tptp.index tptp.ldr _let_2)) (= tptp.norm _let_4)) (and (= tptp.wait _let_4) (= _let_5 (tptp.host (tptp.index tptp.elid _let_2)))) (not (forall ((Z $$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_4)) (tptp.leq tptp.nbr_proc _let_2) (not (= _let_2 _let_3)) (not (tptp.setIn BOUND_VARIABLE_1813 tptp.alive)) (= _let_2 _let_1) (tptp.leq _let_3 _let_1) (not (tptp.setIn BOUND_VARIABLE_1815 tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (tptp.leq (tptp.s _let_2) (tptp.index tptp.pendack _let_1)))))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (or))) (let ((_let_55 (not _let_52))) (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_50 _let_19 _let_45 _let_44 _let_43 (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) Z))))) _let_41 _let_39 _let_38 _let_36 _let_35 _let_34 _let_17 _let_13 _let_32))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_52))) (REFL :args (_let_53)) :args _let_54)) (NOT_OR_ELIM _let_21 :args (12)) :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (_let_29))) (let ((_let_60 (_let_6))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (not _let_27))) (let ((_let_63 (not _let_34))) (let ((_let_64 (and _let_37 _let_63))) (let ((_let_65 (ASSUME :args (_let_63)))) (let ((_let_66 (ASSUME :args (_let_37)))) (let ((_let_67 (not _let_24))) (let ((_let_68 (tptp.elem _let_46 _let_48))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_19 _let_17 _let_69 _let_67 _let_13 _let_11))) (let ((_let_71 (forall ((Z $$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_72 (_let_71))) (let ((_let_73 (tptp.leq _let_30 _let_8))) (let ((_let_74 (not _let_11))) (let ((_let_75 (or _let_32 _let_74 _let_73))) (let ((_let_76 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq X Y)) (not (tptp.leq Y Z)) (tptp.leq X Z))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_3))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_32 _let_73 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 14)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_54)) :args ((or _let_31 _let_51))) _let_57 :args (_let_31 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s X)))) :args _let_78)) _let_79 :args ((not _let_73) false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_30 _let_10 _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq X Y) false)) (not (= (tptp.leq Y Z) false))))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_74 false _let_31 true _let_73 false _let_75)))) (let ((_let_81 (tptp.elem _let_46 _let_47))) (let ((_let_82 (_let_4))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (and _let_49 _let_81))) (let ((_let_85 (ASSUME :args (_let_81)))) (let ((_let_86 (ASSUME :args (_let_49)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 13)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_54)) :args ((or _let_12 _let_51))) _let_57 :args (_let_12 true _let_51)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 12)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_54)) :args ((or _let_16 _let_51))) _let_57 :args (_let_16 true _let_51)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_54)) :args ((or _let_18 _let_51))) _let_57 :args (_let_18 true _let_51)))) (let ((_let_90 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.setIn (tptp.host Pid0) (tptp.index tptp.down (tptp.host Z))) false))))) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 _let_13 _let_11 _let_15 _let_22))) _let_89 _let_88 _let_87 _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_24 _let_27 _let_26 _let_14 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_19 _let_17 _let_13 _let_67 _let_69 _let_11 (not _let_70)))) _let_89 _let_88 _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_86) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_46)) (SYMM (SYMM _let_86)) :args (APPLY_UF tptp.elem)) (TRUE_INTRO _let_85))) :args (_let_81 _let_49))) :args (_let_49 _let_81))) :args (true _let_84)) :args ((or _let_50 _let_68 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_54)) :args ((or _let_49 _let_51))) _let_57 :args (_let_49 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_46 _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_82))) _let_83 :args (_let_81 false _let_4)) :args (_let_68 false _let_49 false _let_81)) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.setIn Z tptp.alive) false)) (not (= (tptp.setIn Pid0 tptp.alive) false)) (tptp.m_Down Pid20)))) :args _let_72))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_21 :args (10))) :args (_let_70 false _let_71)) :args (_let_67 false _let_18 false _let_16 false _let_12 false _let_68 true _let_11 false _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_66) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_66)) (REFL :args (_let_9)) :args (APPLY_UF tptp.leq)) (FALSE_INTRO _let_65))) :args (_let_63 _let_37))) :args (_let_37 _let_63))) :args (true _let_64)) (CONG (REFL :args (_let_38)) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_34))) (REFL :args (_let_62)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 8)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_54)) :args ((or _let_37 _let_51))) _let_57 :args (_let_37 true _let_51)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 11)) _let_57 :args (_let_63 true _let_51)) :args (_let_62 false _let_37 true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.host P)))) :args _let_60)) _let_61 :args (_let_25 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_8 Z) true))))) :args _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 5)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_29))) :args _let_54)) :args ((or _let_29 _let_51))) _let_57 :args (_let_29 true _let_51)) :args (_let_28 false _let_29)) :args (_let_14 true _let_24 true _let_27 false _let_25 false _let_28)) :args (_let_22 false _let_18 false _let_16 false _let_12 true _let_11 false _let_14)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_21 :args (6))) :args (false true _let_20 false _let_7)) :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 $$unsorted)) (let ((_let_1 (tptp.host Q))) (let ((_let_2 (tptp.host P))) (=> (= (tptp.s _let_2) _let_1) (not (= _let_2 _let_1)))))) _let_6 (tptp.leq _let_5 tptp.nbr_proc) (forall ((P $$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_4 (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_3 (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 $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))) _let_2 (forall ((X $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.12/0.46  )
% 0.12/0.46  % SZS output end Proof for SWV460+1
% 0.12/0.46  % cvc5---1.0.5 exiting
% 0.12/0.46  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------