%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV448+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 0.66s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV448+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 09:52:53 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.66  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hex4uv9A54/cvc5---1.0.5_15535.p...
% 0.21/0.66  ------- get file name : TPTP file name is SWV448+1
% 0.21/0.66  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15535.smt2...
% 0.21/0.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.66  % SZS status Theorem for SWV448+1
% 0.21/0.66  % SZS output start Proof for SWV448+1
% 0.21/0.66  (
% 0.21/0.66  (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)) (=> (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) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.host Z))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.ldr _let_2) _let_2) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (= Pid0 Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (tptp.leq tptp.nbr_proc _let_3) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Pid20) _let_3)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Pid20) (tptp.queue _let_2)) (tptp.leq tptp.nbr_proc _let_3) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Pid20) _let_3)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (not (tptp.leq _let_2 _let_1)) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (=> (tptp.setIn X tptp.alive) (=> (not (tptp.leq _let_1 _let_3)) (=> (not (or (and (= (tptp.index tptp.ldr _let_1) _let_3) (= _let_2 tptp.norm)) (and (= _let_2 tptp.wait) (= _let_3 (tptp.host (tptp.index tptp.elid _let_1)))))) (=> (and (forall ((Z $$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)) (=> (tptp.leq tptp.nbr_proc _let_1) (forall ((Z $$unsorted)) (=> (not (tptp.setIn (tptp.host Z) tptp.setEmpty)) (forall ((V0 $$unsorted)) (=> (= (tptp.host X) (tptp.host V0)) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.host W0))) (let ((_let_2 (tptp.host X))) (=> (not (= _let_2 _let_1)) (=> (and (tptp.setIn V0 tptp.alive) (tptp.setIn W0 tptp.alive) (= _let_2 (tptp.host V0)) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)) (= W0 V0))))))))))))))))))))))) (let ((_let_2 (forall ((X $$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 $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_5 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.cons _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.queue _let_7))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (tptp.elem _let_5 _let_8))) (let ((_let_11 (tptp.elem _let_5 _let_6))) (let ((_let_12 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (= tptp.norm (tptp.index tptp.status _let_12)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= _let_12 (tptp.index tptp.ldr _let_12)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.alive))) (let ((_let_18 (not _let_17))) (let ((_let_19 (= _let_7 _let_12))) (let ((_let_20 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive)))) (let ((_let_21 (not (= _let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_22 (tptp.leq tptp.nbr_proc _let_7))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.index tptp.status _let_7))) (let ((_let_25 (= tptp.elec_1 _let_24))) (let ((_let_26 (not _let_25))) (let ((_let_27 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (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_5))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (and (= tptp.wait _let_24) (= _let_29 (tptp.host (tptp.index tptp.elid _let_7)))))) (let ((_let_31 (and (= _let_29 (tptp.index tptp.ldr _let_7)) (= tptp.norm _let_24)))) (let ((_let_32 (tptp.leq _let_7 _let_29))) (let ((_let_33 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive)))) (let ((_let_34 (not _let_9))) (let ((_let_35 (or _let_34 _let_33 _let_32 _let_31 _let_30 _let_28 _let_26 _let_23 _let_21 _let_20 _let_19 _let_18 _let_16 _let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_36 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1781 $$unsorted) (BOUND_VARIABLE_1779 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1781))) (let ((_let_2 (tptp.host X))) (let ((_let_3 (tptp.index tptp.status _let_2))) (let ((_let_4 (tptp.host Y))) (or (not (= (tptp.queue _let_2) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_2 _let_4) (and (= _let_4 (tptp.index tptp.ldr _let_2)) (= tptp.norm _let_3)) (and (= tptp.wait _let_3) (= _let_4 (tptp.host (tptp.index tptp.elid _let_2)))) (not (forall ((Z $$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_3)) (not (tptp.leq tptp.nbr_proc _let_2)) (not (= _let_2 (tptp.host BOUND_VARIABLE_1779))) (not (tptp.setIn BOUND_VARIABLE_1779 tptp.alive)) (= _let_2 _let_1) (not (tptp.setIn BOUND_VARIABLE_1781 tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1))) (= BOUND_VARIABLE_1779 BOUND_VARIABLE_1781))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (_let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41) (REWRITE :args ((=> _let_40 (not (or _let_34 _let_33 _let_32 _let_31 _let_30 (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Z))))) _let_26 _let_23 _let_21 _let_20 _let_19 _let_18 _let_16 _let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) (NOT_OR_ELIM _let_38 :args (8)) :args (_let_37 true _let_36)))) (let ((_let_43 (REFL :args (_let_35)))) (let ((_let_44 (not _let_10))) (let ((_let_45 (tptp.leq _let_7 _let_12))) (let ((_let_46 (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_44 _let_26 _let_18 _let_16 _let_14))) (let ((_let_49 (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (or (not (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (tptp.leq _let_2 _let_1) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2))) (not (= tptp.elec_1 (tptp.index tptp.status _let_2))) (not (tptp.setIn Z tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1))))))))) (let ((_let_50 (_let_49))) (let ((_let_51 (tptp.leq tptp.nbr_proc _let_12))) (let ((_let_52 (= tptp.nbr_proc _let_7))) (let ((_let_53 (not _let_45))) (let ((_let_54 (tptp.leq _let_12 tptp.nbr_proc))) (let ((_let_55 (and _let_54 _let_51))) (let ((_let_56 (not _let_51))) (let ((_let_57 (= tptp.nbr_proc _let_12))) (let ((_let_58 (= _let_55 _let_57))) (let ((_let_59 (not _let_55))) (let ((_let_60 (_let_2))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((tptp.leq X Y)))) (let ((_let_63 (not _let_57))) (let ((_let_64 (tptp.leq _let_7 tptp.nbr_proc))) (let ((_let_65 (and _let_22 _let_64))) (let ((_let_66 (= _let_65 _let_52))) (let ((_let_67 (_let_4))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.host P)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_52 (not _let_65) (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_65)) :args ((or _let_23 _let_65 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 7)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_39)) :args ((or _let_22 _let_35))) _let_42 :args (_let_22 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_64 false _let_4)) :args (_let_65 false _let_22 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.nbr_proc _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_66 false _let_2)) :args (_let_52 false _let_65 false _let_66)))) (let ((_let_71 (not _let_19))) (let ((_let_72 (REFL :args ((not _let_52))))) (let ((_let_73 (and _let_71 _let_52))) (let ((_let_74 (ASSUME :args (_let_71)))) (let ((_let_75 (REFL :args (_let_12)))) (let ((_let_76 (ASSUME :args (_let_52)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (and _let_52 _let_56))) (let ((_let_79 (ASSUME :args (_let_56)))) (let ((_let_80 (_let_3))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (ASSUME :args (_let_11)))) (let ((_let_83 (ASSUME :args (_let_9)))) (let ((_let_84 (ASSUME :args (_let_44)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_82 _let_83 _let_84) :args (_let_9 _let_44 _let_11)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_84)) (CONG (REFL :args (_let_5)) (SYMM (SYMM _let_83)) :args (APPLY_UF tptp.elem)) (TRUE_INTRO _let_82))) :args (_let_11 _let_9 _let_44)) :args ((not (and _let_9 _let_44 _let_11)) SB_LITERAL))) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_10))) (REFL :args ((not _let_11))) :args _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_5 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_80))) _let_81 :args (_let_11 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_26 _let_18 _let_16 _let_14 _let_47 _let_44 _let_45 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 6)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_39)) :args ((or _let_25 _let_35))) _let_42 :args (_let_25 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 11)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_39)) :args ((or _let_17 _let_35))) _let_42 :args (_let_17 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 12)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_39)) :args ((or _let_15 _let_35))) _let_42 :args (_let_15 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 13)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_39)) :args ((or _let_13 _let_35))) _let_42 :args (_let_13 true _let_35)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_27 (= Z V0)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 5)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_39)) :args ((or _let_27 _let_35))) _let_42 :args (_let_27 true _let_35)) :args (_let_46 false _let_27)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_76) (SCOPE (FALSE_ELIM (TRANS (CONG _let_77 _let_75 :args (APPLY_UF tptp.leq)) (FALSE_INTRO _let_79))) :args (_let_56 _let_52))) :args (_let_52 _let_56))) :args (true _let_78)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_51))) (REFL :args (_let_53)) :args _let_39)) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_55)) :args ((or (not _let_54) _let_55 _let_56))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_54 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_57 _let_59 (not _let_58)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_77) _let_75 :args (=)) (FALSE_INTRO _let_74))) :args (_let_52 _let_71))) :args (_let_71 _let_52))) :args (true _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_19))) _let_72 (REFL :args (_let_63)) :args _let_39)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 10)) _let_42 :args (_let_71 true _let_35)) _let_70 :args (_let_63 true _let_19 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_12 tptp.nbr_proc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60))) _let_61 :args (_let_58 false _let_2)) :args (_let_59 true _let_57 false _let_58)) :args (_let_56 false _let_54 true _let_55)) :args (_let_53 false _let_52 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.host Pid0) (tptp.host Z) (tptp.m_Down Pid20)))) :args _let_50)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_38 :args (6))) :args (_let_48 false _let_49)) :args (_let_44 false _let_25 false _let_17 false _let_15 false _let_13 false _let_46 true _let_45 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_9))) :args _let_39)) :args ((or _let_9 _let_35))) _let_42 :args (_let_9 true _let_35)) :args (false false _let_11 true _let_10 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 $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq (tptp.s tptp.zero) tptp.nbr_proc) _let_4 (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) (forall ((X $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.67  )
% 0.21/0.67  % SZS output end Proof for SWV448+1
% 0.21/0.67  % cvc5---1.0.5 exiting
% 0.21/0.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------