TSTP Solution File: SWV472+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV472+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 21:51:40 EDT 2023
% Result : Theorem 0.35s 0.64s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWV472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 03:02:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.64 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IwvdLENUMz/cvc5---1.0.5_2456.p...
% 0.35/0.64 ------- get file name : TPTP file name is SWV472+1
% 0.35/0.64 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2456.smt2...
% 0.35/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.35/0.64 % SZS status Theorem for SWV472+1
% 0.35/0.64 % SZS output start Proof for SWV472+1
% 0.35/0.64 (
% 0.35/0.64 (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.pendack _let_1))) (=> (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 Pid0))) (=> (= _let_1 tptp.nbr_proc) (not (tptp.elem (tptp.m_NotNorm Z) (tptp.queue _let_1)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (and (not (= Pid0 Z)) (= (tptp.host Pid0) (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive))))) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.index tptp.status _let_1))) (=> (and (or (= _let_2 tptp.elec_1) (= _let_2 tptp.elec_2)) (tptp.setIn Z tptp.alive)) (= (tptp.index tptp.elid _let_1) Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.ldr _let_2) _let_1)) (not (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.wait) (= (tptp.host (tptp.index tptp.elid _let_2)) _let_1)) (not (tptp.elem (tptp.m_Down Z) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Z))) (=> (and (not (= _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= (tptp.host Pid30) _let_2) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_2)) (tptp.elem (tptp.m_Down Pid30) (tptp.queue _let_1)))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid30))) (let ((_let_3 (tptp.host Z))) (=> (and (not (= _let_1 _let_3)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid20 tptp.alive) (= _let_2 _let_3) (= (tptp.host Pid0) _let_1)) (not (and (tptp.elem (tptp.m_Down Pid0) (tptp.queue _let_3)) (tptp.setIn _let_2 (tptp.index tptp.down _let_1))))))))) (forall ((Z $$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)))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Ack W Y) V))) (=> (tptp.setIn X tptp.alive) (=> (and (= (tptp.index tptp.elid _let_1) W) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.host Y) _let_2)) (=> (not (tptp.leq tptp.nbr_proc _let_2)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host X))) (=> (= (tptp.s (tptp.index tptp.pendack _let_2)) _let_1) (=> (= _let_2 _let_1) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (let ((_let_2 (tptp.host X))) (=> (not (= (tptp.s (tptp.index tptp.pendack _let_2)) _let_1)) (=> (not (= _let_2 _let_1)) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host X0)))))) (tptp.elem (tptp.m_Down X0) (tptp.queue _let_1)) (= _let_1 (tptp.host W0)) (= _let_1 tptp.nbr_proc) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down W0) (tptp.snoc V (tptp.m_Halt X)))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Down X)) X)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Halt X)) X)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_6 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.m_Ack (tptp.index tptp.elid _let_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.cons _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.queue _let_6))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (tptp.elem _let_11 _let_9))) (let ((_let_13 (tptp.elem _let_11 _let_8))) (let ((_let_14 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (tptp.index tptp.pendack _let_6))) (let ((_let_16 (tptp.s _let_15))) (let ((_let_17 (tptp.m_Halt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.elem _let_11 (tptp.snoc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17)))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_21 (= tptp.elec_1 (tptp.index tptp.status _let_20)))) (let ((_let_22 (not _let_21))) (let ((_let_23 (= tptp.nbr_proc _let_20))) (let ((_let_24 (not _let_23))) (let ((_let_25 (= _let_20 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.queue _let_20)))) (let ((_let_28 (not _let_27))) (let ((_let_29 (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (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_7))))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (= _let_6 _let_20))) (let ((_let_32 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_10))) (let ((_let_35 (or _let_34 _let_33 (not (= tptp.elec_2 (tptp.index tptp.status _let_6))) (not (= _let_15 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.leq tptp.nbr_proc _let_15) (= _let_16 _let_20) _let_31 _let_30 _let_28 _let_26 _let_24 _let_22 _let_19 (not (= _let_16 _let_14)) (not (= _let_6 _let_14)) (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))))) (let ((_let_36 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1832 $$unsorted) (BOUND_VARIABLE_1803 $$unsorted) (BOUND_VARIABLE_1801 $$unsorted) (BOUND_VARIABLE_1799 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1832))) (let ((_let_2 (tptp.host X))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.host BOUND_VARIABLE_1799))) (or (not (= (tptp.queue _let_2) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_2) Y) V))) (not (tptp.setIn X tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (not (= _let_3 (tptp.host Y))) (tptp.leq tptp.nbr_proc _let_3) (= _let_4 _let_5) (= _let_2 _let_5) (not (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1799))) (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 BOUND_VARIABLE_1801)))))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1801) (tptp.queue _let_5))) (not (= _let_5 (tptp.host BOUND_VARIABLE_1803))) (not (= tptp.nbr_proc _let_5)) (not (= tptp.elec_1 (tptp.index tptp.status _let_5))) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1803) (tptp.snoc V (tptp.m_Halt X)))) (not (= _let_4 _let_1)) (not (= _let_2 _let_1)) (not (tptp.setIn BOUND_VARIABLE_1832 tptp.alive))))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (_let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) (NOT_OR_ELIM _let_38 :args (10)) :args (_let_37 true _let_36)))) (let ((_let_43 (REFL :args (_let_35)))) (let ((_let_44 (not _let_12))) (let ((_let_45 (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (tptp.leq _let_1 V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_28 _let_24 _let_26 _let_22 _let_33 _let_44))) (let ((_let_48 (forall ((Z $$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_49 (_let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 9)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_39)) :args ((or _let_25 _let_35))) _let_42 :args (_let_25 true _let_35)))) (let ((_let_51 (tptp.elem _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (or (= _let_7 _let_11) _let_51))) (let ((_let_53 (= _let_13 _let_52))) (let ((_let_54 (_let_5))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (= _let_11 _let_17))) (let ((_let_57 (or _let_56 _let_51))) (let ((_let_58 (= _let_18 _let_57))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.pidMsg _let_11)))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.pidMsg _let_17)))) (let ((_let_63 (not _let_56))) (let ((_let_64 (forall ((X $$unsorted)) (= X (tptp.pidMsg (tptp.m_Down X)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (forall ((X $$unsorted)) (= X (tptp.pidMsg (tptp.m_Halt X)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (and _let_25 _let_56 _let_62 _let_61))) (let ((_let_69 (ASSUME :args (_let_25)))) (let ((_let_70 (ASSUME :args (_let_61)))) (let ((_let_71 (ASSUME :args (_let_56)))) (let ((_let_72 (ASSUME :args (_let_62)))) (let ((_let_73 (ASSUME :args (_let_13)))) (let ((_let_74 (ASSUME :args (_let_10)))) (let ((_let_75 (ASSUME :args (_let_44)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_73 _let_74 _let_75) :args (_let_10 _let_44 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_75)) (CONG (REFL :args (_let_11)) (SYMM (SYMM _let_74)) :args (APPLY_UF tptp.elem)) (TRUE_INTRO _let_73))) :args (_let_13 _let_10 _let_44)) :args ((not (and _let_10 _let_44 _let_13)) SB_LITERAL))) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_12))) (REFL :args ((not _let_13))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_53)) :args ((or _let_13 (not _let_52) (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_52 1)) :args ((or (not _let_51) _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_51 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_70 _let_71 _let_72) (SCOPE (TRANS (CONG (TRANS (SYMM (SYMM _let_72)) (CONG (SYMM _let_71) :args (APPLY_UF tptp.pidMsg)) (SYMM _let_70)) :args (APPLY_UF tptp.host)) (SYMM _let_69)) :args (_let_25 _let_61 _let_56 _let_62))) :args (_let_25 _let_56 _let_62 _let_61))) :args (true _let_68)) :args ((or _let_31 _let_26 _let_63 (not _let_62) (not _let_61)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 6)) _let_42 :args ((not _let_31) true _let_35)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m_Halt X)))) :args (_let_66))) _let_67 :args (_let_62 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.m_Down X)))) :args (_let_64))) _let_65 :args (_let_61 false _let_64)) :args (_let_63 true _let_31 false _let_25 false _let_62 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_19 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 12)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_39)) :args ((or _let_18 _let_35))) _let_42 :args (_let_18 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_11 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.snoc Q Y))))) :args _let_59)) _let_60 :args (_let_58 false _let_4)) :args (_let_57 false _let_18 false _let_58)) :args (_let_51 true _let_56 false _let_57)) :args (_let_52 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_11 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.elem X (tptp.cons Y Q))))) :args _let_54))) _let_55 :args (_let_53 false _let_5)) :args (_let_13 false _let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_33 _let_28 _let_26 _let_24 _let_22 _let_46 _let_44 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_39)) :args ((or _let_32 _let_35))) _let_42 :args (_let_32 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 8)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_39)) :args ((or _let_27 _let_35))) _let_42 :args (_let_27 true _let_35)) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 10)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_39)) :args ((or _let_23 _let_35))) _let_42 :args (_let_23 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 11)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_39)) :args ((or _let_21 _let_35))) _let_42 :args (_let_21 true _let_35)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_29 (= V0 V0)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 7)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_39)) :args ((or _let_29 _let_35))) _let_42 :args (_let_29 true _let_35)) :args (_let_45 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((tptp.host Pid0) (tptp.m_Down Pid20) (tptp.host Pid30) (not (= (tptp.setIn Z tptp.alive) false))))) :args _let_49)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_38 :args (9))) :args (_let_47 false _let_48)) :args (_let_44 false _let_32 false _let_27 false _let_25 false _let_23 false _let_21 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_10))) :args _let_39)) :args ((or _let_10 _let_35))) _let_42 :args (_let_10 true _let_35)) :args (false false _let_13 true _let_12 false _let_10)) :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)))) (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_5 _let_4 (forall ((X $$unsorted)) (= (tptp.pidElem X) (exists ((Y $$unsorted)) (or (= X (tptp.m_Halt Y)) (= X (tptp.m_Down Y)))))) _let_3 _let_2 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.64 )
% 0.35/0.64 % SZS output end Proof for SWV472+1
% 0.35/0.64 % cvc5---1.0.5 exiting
% 0.35/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------