TSTP Solution File: SWV465+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV465+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 0.22s 0.65s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV465+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 10:45:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.65 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ap1C4hhpDI/cvc5---1.0.5_15804.p...
% 0.22/0.65 ------- get file name : TPTP file name is SWV465+1
% 0.22/0.65 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15804.smt2...
% 0.22/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.65 % SZS status Theorem for SWV465+1
% 0.22/0.65 % SZS output start Proof for SWV465+1
% 0.22/0.65 (
% 0.22/0.65 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (and (forall ((Y $$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 $$unsorted)) (let ((_let_1 (tptp.host Y))) (=> (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1)) (not (= (tptp.host Z) _let_1))))) (forall ((Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.host Y))) (=> (tptp.elem (tptp.m_Halt Z) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Z)))))) (forall ((Y $$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 (= 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)) (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 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host Z))) (=> (and (not (tptp.leq _let_1 _let_2)) (tptp.setIn Y tptp.alive) (tptp.setIn Z tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Z) (tptp.queue (tptp.host Pid0))) (= (tptp.host Z) _let_1)) (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 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Y tptp.alive) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack Y Z) (tptp.queue _let_1))))))) (forall ((Y $$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) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1)) (= _let_1 (tptp.host Z)) (= _let_1 tptp.nbr_proc) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn Y tptp.alive) (tptp.elem (tptp.m_Down Z) (tptp.queue (tptp.host Y)))))))) (forall ((Y $$unsorted) (Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.queue _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Z) _let_5) (tptp.elem (tptp.m_Down Pid20) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Z) _let_3) (= (tptp.host Pid20) _let_4)) (not (and (tptp.setIn Y tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_NormQ W) V))) (=> (tptp.setIn X tptp.alive) (=> (not (= (tptp.index tptp.status _let_1) tptp.norm)) (forall ((Y $$unsorted) (Z $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Y))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.snoc V (tptp.m_NotNorm W)))) (=> (= (tptp.host W) _let_2) (=> (= (tptp.host X) _let_2) (=> (and (tptp.setIn Y0 tptp.alive) (tptp.elem (tptp.m_Down X0) _let_5) (tptp.elem (tptp.m_Ack Y0 Z) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Z) _let_3) (= (tptp.host X0) _let_4)) (not (and (tptp.setIn Y tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_NotNorm Y)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_NotNorm Z)))))) (let ((_let_6 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive))) (let ((_let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (tptp.index tptp.pendack _let_7))) (let ((_let_9 (tptp.s _let_8))) (let ((_let_10 (tptp.leq tptp.nbr_proc _let_9))) (let ((_let_11 (= tptp.elec_2 (tptp.index tptp.status _let_7)))) (let ((_let_12 (= _let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_13 (= _let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not _let_12))) (let ((_let_16 (not _let_11))) (let ((_let_17 (not _let_10))) (let ((_let_18 (tptp.queue _let_7))) (let ((_let_19 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (tptp.elem _let_19 _let_18))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_23 (tptp.elem _let_22 _let_18))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_6))) (let ((_let_26 (or _let_25 _let_24 _let_21 _let_17 _let_16 _let_15 _let_14))) (let ((_let_27 (tptp.m_NotNorm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (tptp.snoc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27))) (let ((_let_29 (tptp.elem _let_22 _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (= _let_31 _let_7))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.elem _let_19 _let_28))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.m_NormQ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (tptp.cons _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (= (tptp.queue _let_31) _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive)) (= tptp.norm (tptp.index tptp.status _let_31)) _let_35 (not (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_7)) _let_33 _let_25 _let_30 _let_17 _let_16 _let_15 _let_14))) (let ((_let_41 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (BOUND_VARIABLE_1925 $$unsorted) (BOUND_VARIABLE_1923 $$unsorted) (BOUND_VARIABLE_1921 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1923))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.snoc V (tptp.m_NotNorm W)))) (let ((_let_5 (tptp.host X))) (or (not (= (tptp.queue _let_5) (tptp.cons (tptp.m_NormQ W) V))) (not (tptp.setIn X tptp.alive)) (= tptp.norm (tptp.index tptp.status _let_5)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1921) _let_4)) (not (= (tptp.host W) _let_1)) (not (= _let_5 _let_1)) (not (tptp.setIn BOUND_VARIABLE_1923 tptp.alive)) (not (tptp.elem (tptp.m_Ack BOUND_VARIABLE_1923 BOUND_VARIABLE_1925) _let_4)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host BOUND_VARIABLE_1925))) (not (= _let_3 (tptp.host BOUND_VARIABLE_1921)))))))))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (or))) (let ((_let_45 (not _let_41))) (let ((_let_46 (_let_45))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_41))) (REFL :args (_let_42)) :args _let_44)) (NOT_OR_ELIM _let_43 :args (16)) :args (_let_42 true _let_41)))) (let ((_let_48 (REFL :args (_let_40)))) (let ((_let_49 (forall ((Pid0 $$unsorted) (Z $$unsorted) (Pid20 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_1))) (or (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Ack Pid0 Z) _let_4)) (not (tptp.elem (tptp.m_Down Pid20) _let_4)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host Z))) (not (= _let_3 (tptp.host Pid20))))))))))) (let ((_let_50 (forall ((Y $$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_51 (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_52 (not _let_50))) (let ((_let_53 (_let_49))) (let ((_let_54 (tptp.elem _let_22 _let_37))) (let ((_let_55 (tptp.elem _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_56 (or (= _let_36 _let_22) _let_55))) (let ((_let_57 (= _let_54 _let_56))) (let ((_let_58 (_let_3))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.elem X (tptp.cons Y Q))))) (let ((_let_61 (= _let_27 _let_22))) (let ((_let_62 (or _let_61 _let_55))) (let ((_let_63 (= _let_29 _let_62))) (let ((_let_64 (_let_2))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((tptp.elem X (tptp.snoc Q Y))))) (let ((_let_67 (_let_5))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 5)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_44)) :args ((or _let_32 _let_40))) _let_47 :args (_let_32 true _let_40)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_44)) :args ((or _let_38 _let_40))) _let_47 :args (_let_38 true _let_40)))) (let ((_let_71 (and _let_38 _let_32 _let_54))) (let ((_let_72 (ASSUME :args (_let_54)))) (let ((_let_73 (APPLY_UF tptp.elem))) (let ((_let_74 (ASSUME :args (_let_38)))) (let ((_let_75 (ASSUME :args (_let_32)))) (let ((_let_76 (TRANS (CONG (SYMM _let_75) :args (APPLY_UF tptp.queue)) (SYMM (SYMM _let_74))))) (let ((_let_77 (tptp.elem _let_19 _let_37))) (let ((_let_78 (tptp.elem _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (or (= _let_36 _let_19) _let_78))) (let ((_let_80 (= _let_77 _let_79))) (let ((_let_81 (= _let_19 _let_27))) (let ((_let_82 (or _let_81 _let_78))) (let ((_let_83 (= _let_34 _let_82))) (let ((_let_84 (_let_4))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (and _let_38 _let_32 _let_77))) (let ((_let_87 (ASSUME :args (_let_77)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_17 _let_16 _let_15 _let_14 _let_24 _let_21 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_74 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_19)) _let_76 :args _let_73) (TRUE_INTRO _let_87))) :args (_let_77 _let_38 _let_32))) :args (_let_38 _let_32 _let_77))) :args (true _let_86)) :args ((or _let_39 _let_33 _let_20 (not _let_77)))) _let_70 _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_80)) :args ((or _let_77 (not _let_79) (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_79 1)) :args ((or (not _let_78) _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_78 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down X) (tptp.m_NotNorm Y)))) :args _let_84)) _let_85 :args ((not _let_81) false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or _let_35 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 3)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_44)) :args ((or _let_34 _let_40))) _let_47 :args (_let_34 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_19 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64)) _let_65 :args (_let_83 false _let_2)) :args (_let_82 false _let_34 false _let_83)) :args (_let_78 true _let_81 false _let_82)) :args (_let_79 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_19 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58))) _let_59 :args (_let_80 false _let_3)) :args (_let_77 false _let_79 false _let_80)) :args (_let_20 false _let_38 false _let_32 false _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_74 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_22)) _let_76 :args _let_73) (TRUE_INTRO _let_72))) :args (_let_54 _let_38 _let_32))) :args (_let_38 _let_32 _let_54))) :args (true _let_71)) :args ((or _let_39 _let_33 _let_23 (not _let_54)))) _let_70 _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_54 (not _let_56) (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_56 1)) :args ((or (not _let_55) _let_56))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_55 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack X Y) (tptp.m_NotNorm Z)))) :args _let_67))) _let_68 :args ((not _let_61) false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_30 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 7)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_44)) :args ((or _let_29 _let_40))) _let_47 :args (_let_29 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_22 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_66)) :args _let_64))) _let_65 :args (_let_63 false _let_2)) :args (_let_62 false _let_29 false _let_63)) :args (_let_55 true _let_61 false _let_62)) :args (_let_56 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_22 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58))) _let_59 :args (_let_57 false _let_3)) :args (_let_54 false _let_56 false _let_57)) :args (_let_23 false _let_38 false _let_32 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack Pid0 Z) (tptp.m_Down Pid20)))) :args _let_53)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_43 :args (14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_49)) _let_49))) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_50))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_50 (= Y Y)))) :args ((or _let_51 _let_52))) (NOT_OR_ELIM _let_43 :args (15)) :args (_let_52 true _let_51)) :args (_let_49 true _let_50)) :args (_let_26 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 11)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_44)) :args ((or _let_13 _let_40))) _let_47 :args (_let_13 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 10)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_12))) :args _let_44)) :args ((or _let_12 _let_40))) _let_47 :args (_let_12 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 9)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) :args _let_44)) :args ((or _let_11 _let_40))) _let_47 :args (_let_11 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 8)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_10))) :args _let_44)) :args ((or _let_10 _let_40))) _let_47 :args (_let_10 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 6)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_6))) :args _let_44)) :args ((or _let_6 _let_40))) _let_47 :args (_let_6 true _let_40)) :args (false false _let_20 false _let_23 false _let_26 false _let_13 false _let_12 false _let_11 false _let_10 false _let_6)) :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) (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)) (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Halt Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Down Z)))) _let_5 (forall ((X $$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 $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))) _let_4 (forall ((X $$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 _let_2 (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 $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))) (forall ((X $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.65 )
% 0.22/0.65 % SZS output end Proof for SWV465+1
% 0.44/0.65 % cvc5---1.0.5 exiting
% 0.44/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------