TSTP Solution File: SWV467+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV467+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 21:51:38 EDT 2023
% Result : Theorem 0.20s 0.68s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV467+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 06:55:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.68 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zIDepzaOwJ/cvc5---1.0.5_16719.p...
% 0.20/0.68 ------- get file name : TPTP file name is SWV467+1
% 0.20/0.68 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16719.smt2...
% 0.20/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.68 % SZS status Theorem for SWV467+1
% 0.20/0.68 % SZS output start Proof for SWV467+1
% 0.20/0.68 (
% 0.20/0.68 (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 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 $$unsorted)) (=> (and (not (= Pid0 Z)) (= (tptp.host Pid0) (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1))) (tptp.leq (tptp.host Z) (tptp.index tptp.pendack _let_1))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1)))))) (forall ((Z $$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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Pid0))) (= (tptp.host Pid20) _let_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))) (forall ((Z $$unsorted) (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 $$unsorted) (Pid0 $$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))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (tptp.leq (tptp.index tptp.pendack _let_2) _let_1)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Halt Pid0) (tptp.queue (tptp.host Pid20))) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((Z $$unsorted) (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)))))))) (forall ((Z $$unsorted) (Pid30 $$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))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.queue _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) _let_5) (tptp.elem (tptp.m_Ack Pid0 Pid30) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Pid30) _let_3) (= (tptp.host Pid20) _let_4)) (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) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.queue _let_2))) (=> (not (= _let_1 _let_2)) (=> (and (tptp.setIn Y0 tptp.alive) (tptp.elem (tptp.m_Down X0) _let_5) (tptp.elem (tptp.m_Ack Y0 W0) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host W0) _let_3) (= (tptp.host X0) _let_4)) (not (and (tptp.setIn V0 tptp.alive) (= _let_1 (tptp.host 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.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_6 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_7 (tptp.index tptp.pendack _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (= _let_8 _let_5))) (let ((_let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (= _let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_12 (= tptp.nbr_proc _let_10))) (let ((_let_13 (= tptp.nbr_proc _let_8))) (let ((_let_14 (= _let_10 _let_5))) (let ((_let_15 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.alive)))) (let ((_let_16 (not _let_11))) (let ((_let_17 (not _let_9))) (let ((_let_18 (not (= _let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_19 (not (= tptp.elec_2 (tptp.index tptp.status _let_6))))) (let ((_let_20 (tptp.leq tptp.nbr_proc _let_8))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.queue _let_6))) (let ((_let_23 (not (tptp.elem (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_22)))) (let ((_let_24 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_22))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive))) (let ((_let_27 (not _let_26))) (let ((_let_28 (= _let_10 _let_6))) (let ((_let_29 (tptp.leq tptp.nbr_proc _let_10))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.index tptp.status _let_10))) (let ((_let_32 (= tptp.elec_1 _let_31))) (let ((_let_33 (not _let_32))) (let ((_let_34 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= Z (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (and (= tptp.wait _let_31) (= _let_36 (tptp.host (tptp.index tptp.elid _let_10)))))) (let ((_let_38 (and (= _let_36 (tptp.index tptp.ldr _let_10)) (= tptp.norm _let_31)))) (let ((_let_39 (tptp.leq _let_10 _let_36))) (let ((_let_40 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive)))) (let ((_let_41 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (tptp.cons _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (tptp.queue _let_10))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_40 _let_39 _let_38 _let_37 _let_35 _let_33 _let_30 _let_28 _let_27 _let_25 _let_23 _let_21 _let_19 _let_18 _let_17 _let_16 _let_15))) (let ((_let_47 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2016 $$unsorted) (BOUND_VARIABLE_1989 $$unsorted) (BOUND_VARIABLE_1987 $$unsorted) (BOUND_VARIABLE_1985 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host BOUND_VARIABLE_1985))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.queue _let_2))) (let ((_let_6 (tptp.index tptp.status _let_1))) (let ((_let_7 (tptp.host Y))) (or (not (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_1 _let_7) (and (= _let_7 (tptp.index tptp.ldr _let_1)) (= tptp.norm _let_6)) (and (= tptp.wait _let_6) (= _let_7 (tptp.host (tptp.index tptp.elid _let_1)))) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host X))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host Y) Z))))) (not (= tptp.elec_1 _let_6)) (not (tptp.leq tptp.nbr_proc _let_1)) (= _let_1 _let_2) (not (tptp.setIn BOUND_VARIABLE_1985 tptp.alive)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1987) _let_5)) (not (tptp.elem (tptp.m_Ack BOUND_VARIABLE_1985 BOUND_VARIABLE_1989) _let_5)) (not (tptp.leq tptp.nbr_proc _let_4)) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (not (= _let_3 (tptp.host BOUND_VARIABLE_1989))) (not (= _let_4 (tptp.host BOUND_VARIABLE_1987))) (not (= _let_1 (tptp.host BOUND_VARIABLE_2016))) (not (tptp.setIn BOUND_VARIABLE_2016 tptp.alive))))))))))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (or))) (let ((_let_51 (not _let_47))) (let ((_let_52 (_let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52) (REWRITE :args ((=> _let_51 (not (or _let_45 _let_40 _let_39 _let_38 _let_37 (not (forall ((Z $$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_33 _let_30 _let_28 _let_27 _let_25 _let_23 _let_21 _let_19 _let_18 _let_17 _let_16 _let_15))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_50)) (NOT_OR_ELIM _let_49 :args (16)) :args (_let_48 true _let_47)))) (let ((_let_54 (REFL :args (_let_46)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 15)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_9))) :args _let_50)) :args ((or _let_9 _let_46))) _let_53 :args (_let_9 true _let_46)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 16)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) :args _let_50)) :args ((or _let_11 _let_46))) _let_53 :args (_let_11 true _let_46)))) (let ((_let_57 (tptp.leq _let_10 tptp.nbr_proc))) (let ((_let_58 (and _let_29 _let_57))) (let ((_let_59 (= _let_58 _let_12))) (let ((_let_60 (_let_2))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((tptp.leq X Y)))) (let ((_let_63 (_let_4))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.host P)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or _let_12 (not _let_58) (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_58)) :args ((or _let_30 _let_58 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 7)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_50)) :args ((or _let_29 _let_46))) _let_53 :args (_let_29 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_57 false _let_4)) :args (_let_58 false _let_29 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.nbr_proc _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_59 false _let_2)) :args (_let_12 false _let_58 false _let_59)))) (let ((_let_67 (tptp.leq _let_8 tptp.nbr_proc))) (let ((_let_68 (and _let_20 _let_67))) (let ((_let_69 (= _let_68 _let_13))) (let ((_let_70 (tptp.leq _let_5 tptp.nbr_proc))) (let ((_let_71 (and _let_9 _let_70))) (let ((_let_72 (ASSUME :args (_let_70)))) (let ((_let_73 (ASSUME :args (_let_9)))) (let ((_let_74 (SYMM (SYMM _let_73)))) (let ((_let_75 (not _let_14))) (let ((_let_76 (not _let_12))) (let ((_let_77 (tptp.elem _let_41 _let_43))) (let ((_let_78 (not _let_77))) (let ((_let_79 (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78 _let_76 _let_75 _let_33 _let_27 _let_25))) (let ((_let_82 (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (or (not (forall ((V0 $$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)))))) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1))) (not (= tptp.nbr_proc _let_1)) (not (= _let_1 (tptp.host Pid30))) (not (= tptp.elec_1 (tptp.index tptp.status _let_1))) (not (tptp.setIn Z tptp.alive)) (not (tptp.elem (tptp.m_Down Pid30) (tptp.queue (tptp.host Z))))))))) (let ((_let_83 (_let_82))) (let ((_let_84 (tptp.elem _let_41 _let_42))) (let ((_let_85 (_let_3))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (and _let_44 _let_11 _let_84))) (let ((_let_88 (ASSUME :args (_let_84)))) (let ((_let_89 (APPLY_UF tptp.elem))) (let ((_let_90 (ASSUME :args (_let_44)))) (let ((_let_91 (ASSUME :args (_let_11)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (CONG _let_92 :args (APPLY_UF tptp.queue)))) (let ((_let_94 (REFL :args (_let_41)))) (let ((_let_95 (ASSUME :args (_let_75)))) (let ((_let_96 (ASSUME :args (_let_13)))) (let ((_let_97 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_95 _let_73 _let_96 _let_97 _let_91) :args (_let_9 _let_11 _let_12 _let_13 _let_75)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS _let_91 (TRANS _let_92 (SYMM _let_97) (SYMM (SYMM _let_96)) _let_74)))) (FALSE_INTRO _let_95))) :args (_let_75 _let_9 _let_13 _let_12 _let_11)) :args ((not (and _let_9 _let_11 _let_12 _let_13 _let_75)) SB_LITERAL))) (CONG (REFL :args (_let_17)) (REFL :args (_let_16)) (REFL :args (_let_76)) (REFL :args ((not _let_13))) (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_14))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_33 _let_27 _let_25 _let_78 _let_76 _let_80 _let_75 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 6)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_50)) :args ((or _let_32 _let_46))) _let_53 :args (_let_32 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 9)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_50)) :args ((or _let_26 _let_46))) _let_53 :args (_let_26 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 10)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_50)) :args ((or _let_24 _let_46))) _let_53 :args (_let_24 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_90 _let_91) (SCOPE (TRUE_ELIM (TRANS (CONG _let_94 (SYMM _let_93) :args _let_89) (CONG _let_94 (TRANS _let_93 (SYMM (SYMM _let_90))) :args _let_89) (TRUE_INTRO _let_88))) :args (_let_84 _let_44 _let_11))) :args (_let_44 _let_11 _let_84))) :args (true _let_87)) :args ((or _let_45 _let_16 _let_77 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_50)) :args ((or _let_44 _let_46))) _let_53 :args (_let_44 true _let_46)) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_41 _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_85))) _let_86 :args (_let_84 false _let_3)) :args (_let_77 false _let_44 false _let_11 false _let_84)) _let_66 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_34 (= Z V0)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 5)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_50)) :args ((or _let_34 _let_46))) _let_53 :args (_let_34 true _let_46)) :args (_let_79 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Pid0))) false)) (tptp.m_Down Pid30) (tptp.host Z)))) :args _let_83)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_49 :args (13))) :args (_let_81 false _let_82)) :args (_let_75 false _let_32 false _let_26 false _let_24 false _let_77 false _let_12 false _let_79 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_13 (not _let_68) (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_68)) :args ((or _let_21 _let_68 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 12)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_50)) :args ((or _let_20 _let_46))) _let_53 :args (_let_20 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_73) (SCOPE (TRUE_ELIM (TRANS (CONG _let_74 (REFL :args (tptp.nbr_proc)) :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_72))) :args (_let_70 _let_9))) :args (_let_9 _let_70))) :args (true _let_71)) :args ((or _let_17 _let_67 (not _let_70)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_70 false _let_4)) :args (_let_67 false _let_9 false _let_70)) :args (_let_68 false _let_20 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.nbr_proc _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_69 false _let_2)) :args (_let_13 false _let_68 false _let_69)) _let_66 _let_56 _let_55 :args (false true _let_14 false _let_13 false _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 $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq (tptp.s tptp.zero) tptp.nbr_proc) _let_4 (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) (forall ((X $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.69 )
% 0.20/0.69 % SZS output end Proof for SWV467+1
% 0.20/0.69 % cvc5---1.0.5 exiting
% 0.20/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------