TSTP Solution File: SWV451+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 0.22s 0.64s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n026.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 08:39:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0uJzx19oFC/cvc5---1.0.5_20350.p...
% 0.22/0.64 ------- get file name : TPTP file name is SWV451+1
% 0.22/0.64 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20350.smt2...
% 0.22/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.64 % SZS status Theorem for SWV451+1
% 0.22/0.64 % SZS output start Proof for SWV451+1
% 0.22/0.64 (
% 0.22/0.64 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.host W))) (let ((_let_2 (tptp.host Y))) (=> (and (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (tptp.setIn Pid0 tptp.alive) (not (tptp.elem (tptp.m_Down Pid0) (tptp.queue (tptp.host Z)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (tptp.elem (tptp.m_Down Pid0) (tptp.queue (tptp.host Z))) (not (tptp.setIn Pid0 tptp.alive)))) (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 $$unsorted)) (=> (and (not (tptp.setIn Z tptp.alive)) (tptp.leq Pid0 Z) (= (tptp.host Pid0) (tptp.host Z))) (not (tptp.setIn Pid0 tptp.alive)))) (forall ((Z $$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) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= (tptp.host Pid30) _let_2) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2)) (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1)))))))) (= (tptp.queue _let_2) (tptp.cons (tptp.m_NotNorm X) V))) (=> (tptp.setIn Y tptp.alive) (=> (and (= (tptp.index tptp.ldr _let_2) _let_2) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.elid _let_2) X)) (=> (and (forall ((Z $$unsorted)) (=> (= (tptp.host Y) (tptp.host Z)) (tptp.leq Z W))) (not (tptp.setIn W tptp.pids)) (= _let_2 _let_1)) (=> (= _let_1 (tptp.s tptp.zero)) (=> (not (tptp.leq tptp.nbr_proc _let_1)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (= (tptp.s (tptp.host W)) _let_1) (=> (not (= (tptp.host Y) _let_1)) (forall ((X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (not (= (tptp.s (tptp.host W)) _let_1)) (=> (= (tptp.host Y) _let_1) (forall ((Z0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Y0))) (=> (and (or (and (not (= Z Y)) (tptp.setIn Z tptp.alive)) (= Z W)) (or (and (not (= Y0 Y)) (tptp.setIn Y0 tptp.alive)) (= Y0 W)) (not (= _let_2 _let_1)) (= (tptp.host X0) _let_1) (= (tptp.host Z0) _let_2)) (not (and (tptp.elem (tptp.m_Down X0) V) (tptp.elem (tptp.m_Down Z0) (tptp.snoc (tptp.queue _let_1) (tptp.m_Halt W))))))))))))))))))))))))))))) (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_Halt Y)))))) (let ((_let_5 (tptp.s tptp.zero))) (let ((_let_6 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.s _let_6))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (= _let_7 _let_12))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_16 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (tptp.elem _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (= _let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.m_Halt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (tptp.queue _let_9))) (let ((_let_23 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_24 (tptp.elem _let_23 (tptp.snoc _let_22 _let_21)))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_27 (= _let_12 _let_26))) (let ((_let_28 (not _let_27))) (let ((_let_29 (= _let_9 _let_12))) (let ((_let_30 (and (or (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_31 (not _let_14))) (let ((_let_32 (not _let_15))) (let ((_let_33 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.alive))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_34))) (let ((_let_36 (and _let_35 _let_32))) (let ((_let_37 (= _let_7 _let_9))) (let ((_let_38 (not _let_11))) (let ((_let_39 (tptp.leq tptp.nbr_proc _let_6))) (let ((_let_40 (not (= _let_5 _let_6)))) (let ((_let_41 (not _let_8))) (let ((_let_42 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.pids))) (let ((_let_43 (not (= tptp.norm (tptp.index tptp.status _let_7))))) (let ((_let_44 (not (= _let_7 (tptp.index tptp.ldr _let_7))))) (let ((_let_45 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.m_NotNorm (tptp.index tptp.elid _let_7)))) (let ((_let_48 (tptp.cons _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_49 (tptp.queue _let_7))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46 _let_44 _let_43 (not (forall ((Z $$unsorted)) (or (not (= (tptp.host Z) (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.leq Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_13 _let_31 _let_30 _let_29 _let_28 _let_25 _let_20 _let_18))) (let ((_let_53 (forall ((V $$unsorted) (Y $$unsorted) (W $$unsorted) (BOUND_VARIABLE_1750 $$unsorted) (BOUND_VARIABLE_1748 $$unsorted) (BOUND_VARIABLE_1746 $$unsorted) (BOUND_VARIABLE_1744 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1744))) (let ((_let_2 (tptp.host BOUND_VARIABLE_1750))) (let ((_let_3 (tptp.host Y))) (let ((_let_4 (tptp.host W))) (let ((_let_5 (tptp.s _let_4))) (or (not (= (tptp.queue _let_3) (tptp.cons (tptp.m_NotNorm (tptp.index tptp.elid _let_3)) V))) (not (tptp.setIn Y tptp.alive)) (not (= _let_3 (tptp.index tptp.ldr _let_3))) (not (= tptp.norm (tptp.index tptp.status _let_3))) (not (forall ((Z $$unsorted)) (or (not (= (tptp.host Y) (tptp.host Z))) (tptp.leq Z W)))) (tptp.setIn W tptp.pids) (not (= _let_4 _let_3)) (not (= (tptp.s tptp.zero) _let_4)) (tptp.leq tptp.nbr_proc _let_4) (not (= _let_5 _let_1)) (= _let_3 _let_1) (and (or (= Y BOUND_VARIABLE_1744) (not (tptp.setIn BOUND_VARIABLE_1744 tptp.alive))) (not (= W BOUND_VARIABLE_1744))) (= _let_5 _let_2) (not (= _let_3 _let_2)) (and (or (= Y BOUND_VARIABLE_1750) (not (tptp.setIn BOUND_VARIABLE_1750 tptp.alive))) (not (= W BOUND_VARIABLE_1750))) (= _let_1 _let_2) (not (= _let_2 (tptp.host BOUND_VARIABLE_1748))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1748) (tptp.snoc (tptp.queue _let_1) (tptp.m_Halt W)))) (not (= _let_1 (tptp.host BOUND_VARIABLE_1746))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1746) V))))))))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or))) (let ((_let_57 (not _let_53))) (let ((_let_58 (_let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58) (REWRITE :args ((=> _let_57 (not (or _let_51 _let_46 _let_44 _let_43 (not (forall ((Z $$unsorted)) (or (not (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.host Z))) (tptp.leq Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) _let_42 (not (= _let_6 _let_7)) _let_40 _let_39 _let_38 _let_37 _let_36 _let_13 _let_31 _let_30 _let_29 _let_28 _let_25 _let_20 _let_18))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_53))) (REFL :args (_let_54)) :args _let_56)) (NOT_OR_ELIM _let_55 :args (8)) :args (_let_54 true _let_53)))) (let ((_let_60 (REFL :args (_let_52)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 6)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_8))) :args _let_56)) :args ((or _let_8 _let_52))) _let_59 :args (_let_8 true _let_52)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 13)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_14))) :args _let_56)) :args ((or _let_14 _let_52))) _let_59 :args (_let_14 true _let_52)))) (let ((_let_63 (tptp.elem _let_16 _let_49))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.elem _let_23 _let_22))) (let ((_let_66 (not _let_65))) (let ((_let_67 (= _let_7 _let_26))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_37 _let_34 _let_46 _let_20 _let_68 _let_66 _let_64))) (let ((_let_70 (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (or (= _let_1 _let_2) (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid20 tptp.alive)) (not (= _let_2 (tptp.host Pid30))) (not (= _let_1 (tptp.host Pid0))) (not (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2))) (not (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1))))))))) (let ((_let_71 (_let_70))) (let ((_let_72 (tptp.elem _let_16 _let_48))) (let ((_let_73 (or (= _let_47 _let_16) _let_17))) (let ((_let_74 (= _let_72 _let_73))) (let ((_let_75 (_let_3))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (and _let_50 _let_8 _let_72))) (let ((_let_78 (ASSUME :args (_let_72)))) (let ((_let_79 (APPLY_UF tptp.elem))) (let ((_let_80 (ASSUME :args (_let_50)))) (let ((_let_81 (ASSUME :args (_let_8)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (CONG _let_82 :args (APPLY_UF tptp.queue)))) (let ((_let_84 (REFL :args (_let_16)))) (let ((_let_85 (= _let_23 _let_21))) (let ((_let_86 (or _let_85 _let_65))) (let ((_let_87 (= _let_24 _let_86))) (let ((_let_88 (_let_2))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (_let_4))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (and _let_14 _let_27))) (let ((_let_93 (ASSUME :args (_let_27)))) (let ((_let_94 (ASSUME :args (_let_14)))) (let ((_let_95 (SYMM (SYMM _let_94)))) (let ((_let_96 (not _let_35))) (let ((_let_97 (_let_36))) (let ((_let_98 (and _let_11 _let_15 _let_14 _let_8))) (let ((_let_99 (ASSUME :args (_let_15)))) (let ((_let_100 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_81 _let_99 _let_100) (SCOPE (TRANS (SYMM (SYMM _let_100)) (CONG (SYMM _let_99) :args (APPLY_UF tptp.host)) _let_82 _let_95) :args (_let_14 _let_8 _let_15 _let_11))) :args (_let_11 _let_15 _let_14 _let_8))) :args (true _let_98)) :args ((or _let_38 _let_32 _let_13 _let_31 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_97) (CONG (REFL :args _let_97) (REFL :args (_let_96)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_15))) :args _let_56)) :args ((or _let_15 _let_36 _let_96))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 11)) _let_59 :args ((not _let_36) true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_56)) :args ((or _let_33 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_46 _let_37 _let_34 _let_20 _let_68 _let_66 _let_64 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_56)) :args ((or _let_45 _let_52))) _let_59 :args (_let_45 true _let_52)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 10)) _let_59 :args ((not _let_37) true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 18)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_56)) :args ((or _let_19 _let_52))) _let_59 :args (_let_19 true _let_52)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_93 _let_94) (SCOPE (TRANS _let_95 (SYMM (SYMM _let_93))) :args (_let_27 _let_14))) :args (_let_14 _let_27))) :args (true _let_92)) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 16)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_56)) :args ((or _let_27 _let_52))) _let_59 :args (_let_27 true _let_52)) :args (_let_67 false _let_14 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_65 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down X) (tptp.m_Halt Y)))) :args _let_90)) _let_91 :args ((not _let_85) false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_25 _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 17)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_56)) :args ((or _let_24 _let_52))) _let_59 :args (_let_24 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_23 _let_21 _let_22 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.snoc Q Y))))) :args _let_88)) _let_89 :args (_let_87 false _let_2)) :args (_let_86 false _let_24 false _let_87)) :args (_let_65 true _let_85 false _let_86)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_80 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG _let_84 (SYMM _let_83) :args _let_79) (CONG _let_84 (TRANS _let_83 (SYMM (SYMM _let_80))) :args _let_79) (TRUE_INTRO _let_78))) :args (_let_72 _let_50 _let_8))) :args (_let_50 _let_8 _let_72))) :args (true _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_56)) :args ((or _let_50 _let_52))) _let_59 :args (_let_50 true _let_52)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_74)) :args ((or _let_72 (not _let_73) (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_73 1)) :args ((or _let_18 _let_73))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 19)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_56)) :args ((or _let_17 _let_52))) _let_59 :args (_let_17 true _let_52)) :args (_let_73 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_16 _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_75))) _let_76 :args (_let_74 false _let_3)) :args (_let_72 false _let_73 false _let_74)) :args (_let_63 false _let_50 false _let_8 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_71) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.host Pid20) (tptp.host Z) (tptp.host Pid30) (tptp.host Pid0)))) :args _let_71)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_55 :args (7))) :args (_let_69 false _let_70)) :args (_let_34 false _let_45 true _let_37 false _let_19 false _let_67 false _let_65 false _let_63 false _let_69)) :args (_let_35 true _let_33)) :args (_let_15 true _let_36 false _let_35)) _let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_52 12)) _let_59 :args ((not _let_13) true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 9)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_11))) :args _let_56)) :args ((or _let_11 _let_52))) _let_59 :args (_let_11 true _let_52)) _let_61 :args (false false _let_15 false _let_14 true _let_13 false _let_11 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 $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))) (tptp.leq _let_5 tptp.nbr_proc) (forall ((P $$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)))) (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 $$unsorted)) (not (= (tptp.m_NotNorm X) (tptp.m_Halt Y)))) _let_4 (forall ((X $$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 _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 SWV451+1
% 0.22/0.65 % cvc5---1.0.5 exiting
% 0.22/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------