%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV474+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 21:51:40 EDT 2023

% Result   : Theorem 0.53s 0.71s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 06:35:26 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.71  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.EocQ2igFID/cvc5---1.0.5_30639.p...
% 0.53/0.71  ------- get file name : TPTP file name is SWV474+1
% 0.53/0.71  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30639.smt2...
% 0.53/0.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.71  % SZS status Theorem for SWV474+1
% 0.53/0.71  % SZS output start Proof for SWV474+1
% 0.53/0.71  (
% 0.53/0.71  (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.index tptp.status _let_1))) (let ((_let_3 (tptp.host Y))) (=> (and (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (tptp.elem (tptp.m_Ldr Pid0) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Pid0)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (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 Pid0))) (=> (= _let_1 tptp.nbr_proc) (not (tptp.elem (tptp.m_NotNorm Z) (tptp.queue _let_1)))))) (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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.index tptp.status _let_1))) (=> (and (or (= _let_2 tptp.elec_1) (= _let_2 tptp.elec_2)) (tptp.setIn Z tptp.alive)) (= (tptp.index tptp.elid _let_1) Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.ldr _let_2) _let_1)) (not (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.wait) (= (tptp.host (tptp.index tptp.elid _let_2)) _let_1)) (not (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= (tptp.host Pid30) _let_2) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2)) (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1)))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid30))) (let ((_let_3 (tptp.host Z))) (=> (and (not (= _let_1 _let_3)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= _let_2 _let_3) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_3)) (tptp.setIn _let_2 (tptp.index tptp.down _let_1))))))))) (forall ((Z $$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)))))))) (= (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) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (= (tptp.host X) _let_1) (=> (and (forall ((V0 $$unsorted)) (=> (and (not (tptp.leq (tptp.host Y0) V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down (tptp.host X))) (= V0 (tptp.host Y)) (= V0 (tptp.host X0))))) (tptp.elem (tptp.m_Down X0) V) (= _let_1 (tptp.host W0)) (= _let_1 tptp.nbr_proc) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down W0) (tptp.queue (tptp.host Z))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_4 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (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) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid30))) (let ((_let_3 (tptp.host Z))) (or (= _let_1 _let_3) (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid20 tptp.alive)) (not (= _let_2 _let_3)) (not (= _let_1 (tptp.host Pid0))) (not (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_3))) (not (tptp.setIn _let_2 (tptp.index tptp.down _let_1)))))))))) (let ((_let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.index tptp.down _let_8))) (let ((_let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_11 (tptp.setIn _let_10 _let_9))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.queue _let_10)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (= _let_8 _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive))) (let ((_let_21 (not _let_20))) (let ((_let_22 (= _let_8 _let_10))) (let ((_let_23 (or _let_22 _let_21 _let_19 _let_17 _let_14 _let_12))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (= _let_26 _let_15))) (let ((_let_28 (= _let_8 _let_26))) (let ((_let_29 (not (= tptp.elec_1 (tptp.index tptp.status _let_26))))) (let ((_let_30 (= tptp.nbr_proc _let_26))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_27))) (let ((_let_33 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_34 (tptp.elem _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (forall ((V0 $$unsorted)) (or (tptp.leq (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_28))) (let ((_let_39 (tptp.index tptp.status _let_8))) (let ((_let_40 (= tptp.elec_1 _let_39))) (let ((_let_41 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_9))) (let ((_let_43 (not (tptp.leq _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_44 (tptp.leq _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_45 (and (= tptp.wait _let_39) (= _let_41 (tptp.host (tptp.index tptp.elid _let_8)))))) (let ((_let_46 (and (= _let_41 (tptp.index tptp.ldr _let_8)) (= tptp.norm _let_39)))) (let ((_let_47 (tptp.leq _let_8 _let_41))) (let ((_let_48 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (tptp.cons _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (tptp.queue _let_8))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_19 _let_47 _let_46 _let_45 (and (or _let_44 _let_43 _let_42 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_41)) _let_40) _let_22 _let_21 _let_38 _let_37 _let_35 _let_32 _let_31 _let_29 _let_14))) (let ((_let_54 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1869 $$unsorted) (BOUND_VARIABLE_1865 $$unsorted) (BOUND_VARIABLE_1863 $$unsorted) (BOUND_VARIABLE_1867 $$unsorted) (BOUND_VARIABLE_1854 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1863))) (let ((_let_2 (tptp.host BOUND_VARIABLE_1869))) (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_1854) (not (tptp.leq (tptp.s tptp.zero) BOUND_VARIABLE_1854)) (tptp.setIn BOUND_VARIABLE_1854 (tptp.index tptp.down _let_3)) (= _let_5 BOUND_VARIABLE_1854)) (= tptp.elec_1 _let_4)) (= _let_3 _let_1) (not (tptp.setIn BOUND_VARIABLE_1863 tptp.alive)) (not (= _let_3 _let_2)) (not (forall ((V0 $$unsorted)) (or (tptp.leq (tptp.host BOUND_VARIABLE_1869) V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down (tptp.host X))) (= (tptp.host Y) V0) (= V0 (tptp.host BOUND_VARIABLE_1867))))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1867) V)) (not (= _let_2 (tptp.host BOUND_VARIABLE_1865))) (not (= tptp.nbr_proc _let_2)) (not (= tptp.elec_1 (tptp.index tptp.status _let_2))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1865) (tptp.queue _let_1)))))))))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (or))) (let ((_let_57 (not _let_54))) (let ((_let_58 (_let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58) (REWRITE :args ((=> _let_57 (not (or _let_52 _let_19 _let_47 _let_46 _let_45 (and (or _let_44 _let_43 _let_42 (= _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) _let_40) _let_22 _let_21 _let_38 (not (forall ((V0 $$unsorted)) (or (tptp.leq (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) V0) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) _let_35 _let_32 _let_31 _let_29 _let_14))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_54))) (REFL :args (_let_55)) :args _let_56)) (NOT_OR_ELIM _let_24 :args (10)) :args (_let_55 true _let_54)))) (let ((_let_60 (REFL :args (_let_53)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 8)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_28))) :args _let_56)) :args ((or _let_28 _let_53))) _let_59 :args (_let_28 true _let_53)))) (let ((_let_62 (and _let_28 _let_27))) (let ((_let_63 (ASSUME :args (_let_27)))) (let ((_let_64 (ASSUME :args (_let_28)))) (let ((_let_65 (SYMM (SYMM _let_64)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_64) (SCOPE (TRANS _let_65 (SYMM (SYMM _let_63))) :args (_let_27 _let_28))) :args (_let_28 _let_27))) :args (true _let_62)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 11)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_27))) :args _let_56)) :args ((or _let_27 _let_53))) _let_59 :args (_let_27 true _let_53)) :args (_let_16 false _let_28 false _let_27)))) (let ((_let_67 (= _let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_68 (= _let_41 _let_10))) (let ((_let_69 (tptp.leq _let_5 _let_10))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.leq _let_26 _let_10))) (let ((_let_72 (or _let_71 _let_70 _let_11 _let_68 _let_67))) (let ((_let_73 (_let_36))) (let ((_let_74 (tptp.leq tptp.nbr_proc _let_10))) (let ((_let_75 (not _let_71))) (let ((_let_76 (tptp.leq _let_10 tptp.nbr_proc))) (let ((_let_77 (and _let_76 _let_74))) (let ((_let_78 (not _let_74))) (let ((_let_79 (= tptp.nbr_proc _let_10))) (let ((_let_80 (= _let_77 _let_79))) (let ((_let_81 (not _let_77))) (let ((_let_82 (_let_2))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (not _let_79))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 12)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_56)) :args ((or _let_30 _let_53))) _let_59 :args (_let_30 true _let_53)))) (let ((_let_86 (not _let_22))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 6)) _let_59 :args (_let_86 true _let_53)))) (let ((_let_88 (REFL :args (_let_31)))) (let ((_let_89 (and _let_28 _let_30 _let_86))) (let ((_let_90 (_let_28 _let_30 _let_86))) (let ((_let_91 (ASSUME :args (_let_86)))) (let ((_let_92 (REFL :args (_let_10)))) (let ((_let_93 (ASSUME :args (_let_30)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (_let_4))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (and _let_30 _let_78))) (let ((_let_98 (ASSUME :args (_let_78)))) (let ((_let_99 (tptp.elem _let_33 _let_50))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_67))) (let ((_let_102 (or _let_22 _let_21 _let_19 _let_101 _let_17 _let_14 _let_100))) (let ((_let_103 (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_104 (NOT_NOT_ELIM (NOT_OR_ELIM _let_24 :args (7))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((not (= (tptp.setIn Pid20 tptp.alive) false)) (not (= (tptp.elem (tptp.m_Down Pid0) (tptp.queue (tptp.host Z))) false)) (tptp.m_Down Pid30)))) (let ((_let_107 (ASSUME :args _let_105))) (let ((_let_108 (tptp.elem _let_33 _let_49))) (let ((_let_109 (or (= _let_48 _let_33) _let_34))) (let ((_let_110 (= _let_108 _let_109))) (let ((_let_111 (_let_3))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 ((tptp.elem X (tptp.cons Y Q))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_56)) :args ((or _let_51 _let_53))) _let_59 :args (_let_51 true _let_53)))) (let ((_let_115 (and _let_51 _let_108))) (let ((_let_116 (ASSUME :args (_let_108)))) (let ((_let_117 (APPLY_UF tptp.elem))) (let ((_let_118 (ASSUME :args (_let_51)))) (let ((_let_119 (SYMM (SYMM _let_118)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 14)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_56)) :args ((or _let_13 _let_53))) _let_59 :args (_let_13 true _let_53)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 7)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_56)) :args ((or _let_20 _let_53))) _let_59 :args (_let_20 true _let_53)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_56)) :args ((or _let_18 _let_53))) _let_59 :args (_let_18 true _let_53)))) (let ((_let_123 (_let_6))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (tptp.elem _let_48 _let_50))) (let ((_let_126 (not _let_125))) (let ((_let_127 (not _let_68))) (let ((_let_128 (or _let_22 _let_21 _let_19 _let_127 _let_17 _let_14 _let_126))) (let ((_let_129 (tptp.elem _let_48 _let_49))) (let ((_let_130 (and _let_51 _let_129))) (let ((_let_131 (ASSUME :args (_let_129)))) (let ((_let_132 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_132) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.elem (tptp.m_Down Pid0) (tptp.queue (tptp.host Z))) false)) (not (= (tptp.setIn (tptp.host Pid30) (tptp.index tptp.down (tptp.host Pid20))) false))))) :args _let_132))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_19 _let_22 _let_21 _let_14 _let_12 _let_17 _let_25))) _let_122 _let_87 _let_121 _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_68 _let_70 _let_67 _let_11 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_19 _let_22 _let_21 _let_14 _let_127 _let_126 _let_17 (not _let_128)))) _let_122 _let_87 _let_121 _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_130)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_131 _let_118) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_48)) _let_119 :args _let_117) (TRUE_INTRO _let_131))) :args (_let_129 _let_51))) :args (_let_51 _let_129))) :args (true _let_130)) :args ((or _let_52 _let_125 (not _let_129)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_48 _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_111))) _let_112 :args (_let_129 false _let_3)) :args (_let_125 false _let_51 false _let_129)) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_105))) _let_104 :args (_let_128 false _let_103)) :args (_let_127 false _let_18 true _let_22 false _let_20 false _let_13 false _let_125 false _let_16 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.host P)))) :args _let_123)) _let_124 :args (_let_69 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_19 _let_22 _let_21 _let_14 _let_101 _let_100 _let_17 (not _let_102)))) _let_122 _let_87 _let_121 _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_118) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_33)) _let_119 :args _let_117) (TRUE_INTRO _let_116))) :args (_let_108 _let_51))) :args (_let_51 _let_108))) :args (true _let_115)) :args ((or _let_52 _let_99 (not _let_108)))) _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_110)) :args ((or _let_108 (not _let_109) (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_109 1)) :args ((or _let_35 _let_109))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 10)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_56)) :args ((or _let_34 _let_53))) _let_59 :args (_let_34 true _let_53)) :args (_let_109 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_33 _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_111))) _let_112 :args (_let_110 false _let_3)) :args (_let_108 false _let_109 false _let_110)) :args (_let_99 false _let_51 false _let_108)) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_105)) _let_104 :args (_let_102 false _let_103)) :args (_let_101 false _let_18 true _let_22 false _let_20 false _let_13 false _let_99 false _let_16 false _let_102)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_93) (SCOPE (FALSE_ELIM (TRANS (CONG _let_94 _let_92 :args (APPLY_UF tptp.leq)) (FALSE_INTRO _let_98))) :args (_let_78 _let_30))) :args (_let_30 _let_78))) :args (true _let_97)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_74))) (REFL :args (_let_75)) :args _let_56)) _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_77)) :args ((or (not _let_76) _let_77 _let_78))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.host P)))) :args _let_95)) _let_96 :args (_let_76 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_79 _let_81 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_93 _let_91) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_94) (SYMM _let_65)) _let_92 :args (=)) (FALSE_INTRO _let_91))) :args _let_90)) :args _let_90)) :args (true _let_89)) (CONG (REFL :args (_let_38)) _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_22))) (REFL :args (_let_84)) :args _let_56)) :args ((or _let_22 _let_38 _let_31 _let_84))) _let_87 _let_61 _let_85 :args (_let_84 true _let_22 false _let_28 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_10 tptp.nbr_proc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leq X Y)))) :args _let_82))) _let_83 :args (_let_80 false _let_2)) :args (_let_81 true _let_79 false _let_80)) :args (_let_78 false _let_76 true _let_77)) :args (_let_75 false _let_30 true _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_5 V0) false))))) :args _let_73))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 9)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_56)) :args ((or _let_36 _let_53))) _let_59 :args (_let_36 true _let_53)) :args (_let_72 false _let_36)) :args (_let_11 true _let_68 false _let_69 true _let_67 true _let_71 false _let_72)) _let_66 :args (_let_25 false _let_18 true _let_22 false _let_20 false _let_13 false _let_11 false _let_16)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_24 :args (8))) :args (false true _let_23 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) _let_4 (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_3 (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))) _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.53/0.71  )
% 0.53/0.71  % SZS output end Proof for SWV474+1
% 0.53/0.71  % cvc5---1.0.5 exiting
% 0.53/0.72  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------