TSTP Solution File: SWV457+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV457+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 21:51:36 EDT 2023
% Result : Theorem 0.38s 0.76s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 06:55:56 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.76 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UR99A1rGCp/cvc5---1.0.5_22788.p...
% 0.38/0.76 ------- get file name : TPTP file name is SWV457+1
% 0.38/0.76 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22788.smt2...
% 0.38/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.38/0.76 % SZS status Theorem for SWV457+1
% 0.38/0.76 % SZS output start Proof for SWV457+1
% 0.38/0.76 (
% 0.38/0.76 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (forall ((Y $$unsorted) (Z $$unsorted)) (=> (tptp.elem (tptp.m_Ack Z Y) (tptp.queue (tptp.host Z))) (tptp.setIn Z tptp.pids))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (tptp.elem (tptp.m_Down Z) (tptp.queue (tptp.host Y))) (not (tptp.setIn Z tptp.alive)))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host Y))) (=> (tptp.elem (tptp.m_Ldr Z) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Z)))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid0 Y) (tptp.queue (tptp.host Z))) (not (tptp.leq (tptp.host Y) (tptp.host Pid0))))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (not (tptp.setIn Y tptp.alive)) (tptp.leq Z Y) (= (tptp.host Z) (tptp.host Y))) (not (tptp.setIn Z tptp.alive)))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (not (= Z Y)) (= (tptp.host Z) (tptp.host Y))) (or (not (tptp.setIn Y tptp.alive)) (not (tptp.setIn Z tptp.alive))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Ack Z Y) (tptp.queue _let_1))) (tptp.leq (tptp.host Y) (tptp.index tptp.pendack _let_1))))) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.status (tptp.host Z)) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Y Z) (tptp.queue (tptp.host Y)))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Z Y) (tptp.queue _let_1)))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.index tptp.status _let_1))) (=> (and (or (= _let_2 tptp.elec_1) (= _let_2 tptp.elec_2)) (tptp.setIn Y tptp.alive)) (= (tptp.index tptp.elid _let_1) Y))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.elem (tptp.m_Down Y) (tptp.queue (tptp.host Z))) (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1)) (= _let_1 (tptp.host Y))) (not (tptp.setIn Pid0 tptp.alive))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Y) (tptp.queue _let_2)) (= _let_1 (tptp.host Y))) (not (tptp.setIn _let_2 (tptp.index tptp.down _let_1))))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Y))) (=> (and (not (tptp.leq _let_2 _let_1)) (tptp.setIn Y tptp.alive) (tptp.setIn Z tptp.alive) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.index tptp.status _let_1) tptp.elec_2)) (not (tptp.leq (tptp.index tptp.pendack _let_2) (tptp.index tptp.pendack _let_1))))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (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 Z))) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn Y tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_2)) (tptp.leq tptp.nbr_proc _let_3) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Z) _let_3)) (not (and (tptp.setIn Y tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))) (= (tptp.queue (tptp.host W)) (tptp.cons (tptp.m_Halt X) V))) (=> (tptp.setIn W tptp.alive) (forall ((Y $$unsorted)) (=> (not (= (tptp.host W) (tptp.host Y))) (forall ((Z $$unsorted) (X0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host X0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (=> (= (tptp.host X) _let_2) (=> (not (= (tptp.host W) _let_2)) (=> (and (tptp.setIn X0 tptp.alive) (tptp.leq tptp.nbr_proc _let_3) (tptp.elem (tptp.m_Ack X0 Z) (tptp.snoc (tptp.queue _let_2) (tptp.m_Ack X W))) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Z) _let_3)) (not (and (tptp.setIn Y tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))))))))))))) (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 $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_5 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= Y1 Y2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))))) (let ((_let_6 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (=> (not (= X1 X2)) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))))) (let ((_let_7 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_8 (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host Pid0))) (or (tptp.leq (tptp.index tptp.pendack _let_2) _let_1) (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Halt Pid0) (tptp.queue (tptp.host Z)))) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (not (tptp.setIn Y tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1))))))))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (= tptp.norm (tptp.index tptp.status _let_9)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (= _let_9 (tptp.index tptp.ldr _let_9)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (= tptp.elec_2 (tptp.index tptp.status _let_16)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.queue _let_19))) (let ((_let_21 (tptp.m_Halt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_22 (tptp.elem _let_21 _let_20))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.index tptp.pendack _let_16))) (let ((_let_27 (tptp.leq _let_26 _let_9))) (let ((_let_28 (or _let_27 _let_25 _let_23 _let_18 _let_15 _let_13 _let_11))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.leq tptp.nbr_proc _let_9))) (let ((_let_32 (= tptp.nbr_proc _let_26))) (let ((_let_33 (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_16))) (let ((_let_34 (not _let_27))) (let ((_let_35 (tptp.leq _let_9 tptp.nbr_proc))) (let ((_let_36 (and _let_35 _let_31))) (let ((_let_37 (not _let_31))) (let ((_let_38 (= tptp.nbr_proc _let_9))) (let ((_let_39 (= _let_36 _let_38))) (let ((_let_40 (not _let_36))) (let ((_let_41 (_let_2))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.leq X Y)))) (let ((_let_44 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_45 (= _let_19 _let_9))) (let ((_let_46 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_47 (= _let_26 _let_46))) (let ((_let_48 (not _let_38))) (let ((_let_49 (tptp.leq _let_26 tptp.nbr_proc))) (let ((_let_50 (tptp.leq tptp.nbr_proc _let_26))) (let ((_let_51 (and _let_50 _let_49))) (let ((_let_52 (= _let_51 _let_32))) (let ((_let_53 (tptp.leq _let_46 tptp.nbr_proc))) (let ((_let_54 (_let_7))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((tptp.host P)))) (let ((_let_57 (not _let_47))) (let ((_let_58 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (tptp.queue _let_16))) (let ((_let_60 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_61 (tptp.elem _let_60 (tptp.snoc _let_59 _let_58)))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_50))) (let ((_let_64 (not _let_33))) (let ((_let_65 (tptp.m_Halt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_66 (tptp.cons _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (= _let_20 _let_66))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive)) _let_64 (= _let_19 _let_16) _let_25 _let_63 _let_62 _let_18 _let_57 _let_45 _let_15 _let_13 _let_11))) (let ((_let_70 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (BOUND_VARIABLE_1856 $$unsorted) (BOUND_VARIABLE_1833 $$unsorted) (BOUND_VARIABLE_1831 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1856))) (let ((_let_2 (tptp.host W))) (let ((_let_3 (tptp.host BOUND_VARIABLE_1831))) (let ((_let_4 (tptp.index tptp.pendack _let_3))) (or (not (= (tptp.queue _let_2) (tptp.cons (tptp.m_Halt X) V))) (not (tptp.setIn W tptp.alive)) (not (= (tptp.host X) _let_3)) (= _let_2 _let_3) (not (tptp.setIn BOUND_VARIABLE_1831 tptp.alive)) (not (tptp.leq tptp.nbr_proc _let_4)) (not (tptp.elem (tptp.m_Ack BOUND_VARIABLE_1831 BOUND_VARIABLE_1833) (tptp.snoc (tptp.queue _let_3) (tptp.m_Ack X W)))) (not (= tptp.elec_2 (tptp.index tptp.status _let_3))) (not (= _let_4 (tptp.host BOUND_VARIABLE_1833))) (= _let_2 _let_1) (not (tptp.setIn BOUND_VARIABLE_1856 tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1))))))))))) (let ((_let_71 (not _let_69))) (let ((_let_72 (or))) (let ((_let_73 (not _let_70))) (let ((_let_74 (_let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_70))) (REFL :args (_let_71)) :args _let_72)) (NOT_OR_ELIM _let_29 :args (15)) :args (_let_71 true _let_70)))) (let ((_let_76 (REFL :args (_let_69)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 8)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_47))) :args _let_72)) :args ((or _let_47 _let_69))) _let_75 :args (_let_47 true _let_69)))) (let ((_let_78 (and _let_47 _let_53))) (let ((_let_79 (_let_47 _let_53))) (let ((_let_80 (ASSUME :args (_let_53)))) (let ((_let_81 (APPLY_UF tptp.leq))) (let ((_let_82 (ASSUME :args (_let_47)))) (let ((_let_83 (SYMM (SYMM _let_82)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 5)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_50))) :args _let_72)) :args ((or _let_50 _let_69))) _let_75 :args (_let_50 true _let_69)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_52)) :args ((or _let_32 (not _let_51) (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_51)) :args ((or _let_63 _let_51 (not _let_49)))) _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_80) (SCOPE (TRUE_ELIM (TRANS (CONG _let_83 (REFL :args (tptp.nbr_proc)) :args _let_81) (TRUE_INTRO _let_80))) :args _let_79)) :args _let_79)) :args (true _let_78)) :args ((or _let_57 _let_49 (not _let_53)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_53 false _let_7)) :args (_let_49 false _let_47 false _let_53)) :args (_let_51 false _let_50 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.nbr_proc _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_52 false _let_2)) :args (_let_32 false _let_51 false _let_52)))) (let ((_let_86 (= _let_60 _let_58))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_44 _let_87))) (let ((_let_89 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (= Y1 Y2) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (tptp.elem _let_60 _let_59))) (let ((_let_92 (or _let_86 _let_91))) (let ((_let_93 (= _let_61 _let_92))) (let ((_let_94 (_let_3))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (not _let_91))) (let ((_let_97 (or _let_25 _let_96 _let_63 _let_18 _let_57))) (let ((_let_98 (forall ((Pid0 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (or (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1))) (not (tptp.leq tptp.nbr_proc _let_2)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host Z))))))))) (let ((_let_99 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.host Y))) (or (not (tptp.setIn Y tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))) (let ((_let_100 (or _let_15 _let_13 _let_11))) (let ((_let_101 (not _let_99))) (let ((_let_102 (not _let_100))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 12)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_72)) :args ((or _let_10 _let_69))) _let_75 :args (_let_10 true _let_69)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 11)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_72)) :args ((or _let_12 _let_69))) _let_75 :args (_let_12 true _let_69)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 10)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_72)) :args ((or _let_14 _let_69))) _let_75 :args (_let_14 true _let_69)))) (let ((_let_106 (_let_99))) (let ((_let_107 (_let_98))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 7)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_72)) :args ((or _let_17 _let_69))) _let_75 :args (_let_17 true _let_69)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 4)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_72)) :args ((or _let_24 _let_69))) _let_75 :args (_let_24 true _let_69)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_86 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_25 _let_63 _let_18 _let_57 _let_96 (not _let_97)))) _let_109 _let_84 _let_108 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_107) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m_Ack Pid0 Z)))) :args _let_107)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_29 :args (14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_98)) _let_98))) (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_99))) :args _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.setIn Y tptp.alive) false))))) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_15 _let_13 _let_11 _let_102))) _let_105 _let_104 _let_103 :args (_let_102 false _let_14 false _let_12 false _let_10)) :args (_let_101 true _let_100)) :args (_let_98 true _let_99)) :args (_let_97 false _let_98)) :args (_let_96 false _let_24 false _let_50 false _let_17 false _let_47 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_62 _let_92 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 6)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_72)) :args ((or _let_61 _let_69))) _let_75 :args (_let_61 true _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_60 _let_58 _let_59 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.snoc Q Y))))) :args _let_94)) _let_95 :args (_let_93 false _let_3)) :args (_let_92 false _let_61 false _let_93)) :args (_let_86 true _let_91 false _let_92)))) (let ((_let_111 (not _let_45))) (let ((_let_112 (REFL :args ((not _let_32))))) (let ((_let_113 (and _let_47 _let_111 _let_44 _let_32))) (let ((_let_114 (= _let_19 _let_46))) (let ((_let_115 (ASSUME :args (_let_111)))) (let ((_let_116 (REFL :args (_let_9)))) (let ((_let_117 (ASSUME :args (_let_32)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (_let_44))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (and _let_33 _let_32 _let_37))) (let ((_let_122 (ASSUME :args (_let_37)))) (let ((_let_123 (ASSUME :args (_let_33)))) (let ((_let_124 (CONG (REFL :args (tptp.pendack)) (SYMM (SYMM _let_123)) :args (APPLY_UF tptp.index)))) (let ((_let_125 (tptp.elem _let_21 _let_66))) (let ((_let_126 (= _let_65 _let_21))) (let ((_let_127 (or _let_126 (tptp.elem _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_128 (= _let_125 _let_127))) (let ((_let_129 (_let_4))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_132 (or _let_131 _let_87))) (let ((_let_133 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (= X1 X2) (not (= (tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2))))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (_let_131))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (and _let_67 _let_125))) (let ((_let_138 (_let_67 _let_125))) (let ((_let_139 (ASSUME :args (_let_125)))) (let ((_let_140 (ASSUME :args (_let_67)))) (let ((_let_141 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_141) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.host Y) (tptp.host Z) (not (= (tptp.setIn Pid0 tptp.alive) false))))) :args _let_141)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_18 _let_15 _let_13 _let_11 _let_23 _let_27 _let_30))) _let_109 _let_108 _let_105 _let_104 _let_103 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_139) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_21)) (SYMM (SYMM _let_140)) :args (APPLY_UF tptp.elem)) (TRUE_INTRO _let_139))) :args _let_138)) :args _let_138)) :args (true _let_137)) :args ((or _let_68 _let_22 (not _let_125)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 0)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_72)) :args ((or _let_67 _let_69))) _let_75 :args (_let_67 true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_128)) :args ((or _let_125 (not _let_127) (not _let_128)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_127 0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_136 (SCOPE (CONG (SYMM (SYMM _let_136)) :args (APPLY_UF tptp.m_Halt)) :args _let_135)) :args _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_131 _let_87 (not _let_132)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2)))) :args (_let_133)))) _let_134 :args (_let_132 false _let_133)) :args (_let_131 false _let_86 false _let_132)) :args (_let_126 false _let_131)) :args (_let_127 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_21 _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_129))) _let_130 :args (_let_128 false _let_4)) :args (_let_125 false _let_127 false _let_128)) :args (_let_22 false _let_67 false _let_125)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_117 _let_123) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_124) _let_116 :args _let_81) (CONG (TRANS _let_124 _let_118) _let_116 :args _let_81) (FALSE_INTRO _let_122))) :args (_let_37 _let_32 _let_33))) :args (_let_33 _let_32 _let_37))) :args (true _let_121)) (CONG (REFL :args (_let_64)) _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_31))) (REFL :args (_let_34)) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 2)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_33))) :args _let_72)) :args ((or _let_33 _let_69))) _let_75 :args (_let_33 true _let_69)) _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_36)) :args ((or (not _let_35) _let_36 _let_37))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_35 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or _let_38 _let_40 (not _let_39)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_113)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 (MODUS_PONENS _let_120 (SCOPE (CONG (SYMM (SYMM _let_120)) :args (APPLY_UF tptp.host)) :args _let_119)) _let_82 _let_117) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (TRANS (ASSUME :args (_let_114)) (SYMM (TRANS (SYMM _let_118) _let_83)))) _let_116 :args (=)) (FALSE_INTRO _let_115))) :args (_let_111 _let_114 _let_47 _let_32))) :args (_let_47 _let_111 _let_44 _let_32))) :args (true _let_113)) (CONG (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_45))) (REFL :args ((not _let_44))) _let_112 (REFL :args (_let_48)) :args _let_72)) _let_77 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_69 9)) _let_75 :args (_let_111 true _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_44 (not _let_88)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack X1 Y1) (tptp.m_Ack X2 Y2)))) :args (_let_89)))) _let_90 :args (_let_88 false _let_89)) :args (_let_44 false _let_86 false _let_88)) _let_85 :args (_let_48 false _let_47 true _let_45 false _let_44 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_9 tptp.nbr_proc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41))) _let_42 :args (_let_39 false _let_2)) :args (_let_40 true _let_38 false _let_39)) :args (_let_37 false _let_35 true _let_36)) :args (_let_34 false _let_33 false _let_32 true _let_31)) :args (_let_30 false _let_24 false _let_17 false _let_14 false _let_12 false _let_10 false _let_22 true _let_27)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_29 :args (13))) :args (false true _let_28 false _let_8)) :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_7 (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 $$unsorted)) (= (not (= X Y)) (not (= (tptp.m_Down X) (tptp.m_Down Y))))) _let_6 _let_5 (forall ((Pid $$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 _let_3 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.38/0.76 )
% 0.38/0.76 % SZS output end Proof for SWV457+1
% 0.38/0.76 % cvc5---1.0.5 exiting
% 0.38/0.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------