TSTP Solution File: SWV464+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 0.53s 0.74s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.16 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 06:12:58 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.74 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VaOP6fg6lc/cvc5---1.0.5_25416.p...
% 0.53/0.74 ------- get file name : TPTP file name is SWV464+1
% 0.53/0.74 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25416.smt2...
% 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.74 % SZS status Theorem for SWV464+1
% 0.53/0.74 % SZS output start Proof for SWV464+1
% 0.53/0.74 (
% 0.53/0.74 (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 Z))) (=> (tptp.elem (tptp.m_Halt Pid0) (tptp.queue _let_1)) (not (tptp.leq _let_1 (tptp.host Pid0)))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue (tptp.host Pid20))) (not (tptp.leq (tptp.host Z) (tptp.host Pid0))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (and (not (= Pid0 Z)) (= (tptp.host Pid0) (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1))) (tptp.leq (tptp.host Z) (tptp.index tptp.pendack _let_1))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Pid0 Z) (tptp.queue _let_1)))))) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.index tptp.status _let_1))) (=> (and (or (= _let_2 tptp.elec_1) (= _let_2 tptp.elec_2)) (tptp.setIn Z tptp.alive)) (= (tptp.index tptp.elid _let_1) Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Pid0))) (= (tptp.host Pid20) _let_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 _let_2)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Pid20)) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack Z Pid20) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.host Z))) (=> (and (not (tptp.leq _let_2 _let_1)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.index tptp.status _let_1) tptp.elec_2)) (not (tptp.leq (tptp.index tptp.pendack _let_2) (tptp.index tptp.pendack _let_1))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (tptp.leq (tptp.index tptp.pendack _let_2) _let_1)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Halt Pid0) (tptp.queue (tptp.host Pid20))) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1)) (= _let_1 tptp.nbr_proc) (= _let_1 (tptp.host Pid30)) (= (tptp.index tptp.status _let_1) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down Pid30) (tptp.queue (tptp.host Z)))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.index tptp.pendack _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.queue _let_2))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) _let_5) (tptp.elem (tptp.m_Ack Pid0 Pid30) _let_5) (tptp.leq tptp.nbr_proc _let_4) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host Pid30) _let_3) (= (tptp.host Pid20) _let_4)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_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 $$unsorted) (W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (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 (tptp.queue _let_2) (tptp.m_Halt X)))) (let ((_let_6 (tptp.host X))) (=> (= (tptp.s (tptp.index tptp.pendack _let_6)) _let_2) (=> (not (= _let_6 _let_2)) (=> (and (tptp.setIn Y0 tptp.alive) (tptp.leq tptp.nbr_proc _let_4) (tptp.elem (tptp.m_Down X0) _let_5) (tptp.elem (tptp.m_Ack Y0 W0) _let_5) (= (tptp.index tptp.status _let_2) tptp.elec_2) (= (tptp.host W0) _let_3) (= (tptp.host X0) _let_4)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))))))))))))))))))) (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 $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Halt Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (= (tptp.m_Ack X Y) (tptp.m_Halt Z)))))) (let ((_let_5 (forall ((Pid0 $$unsorted) (Pid20 $$unsorted) (Pid30 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_1))) (or (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Down Pid20) _let_4)) (not (tptp.elem (tptp.m_Ack Pid0 Pid30) _let_4)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host Pid30))) (not (= _let_3 (tptp.host Pid20))))))))))) (let ((_let_6 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_7 (tptp.index tptp.pendack _let_6))) (let ((_let_8 (tptp.s _let_7))) (let ((_let_9 (= _let_8 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (= _let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (= tptp.elec_2 (tptp.index tptp.status _let_6)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.leq tptp.nbr_proc _let_8))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.queue _let_6))) (let ((_let_18 (tptp.m_Ack SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_19 (tptp.elem _let_18 _let_17))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_22 (tptp.elem _let_21 _let_17))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.alive))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_20 _let_16 _let_14 _let_12 _let_10))) (let ((_let_27 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))) (let ((_let_28 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_26))) (let ((_let_33 (tptp.m_Halt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (= _let_21 _let_33))) (let ((_let_35 (or _let_34 _let_22))) (let ((_let_36 (tptp.snoc _let_17 _let_33))) (let ((_let_37 (tptp.elem _let_21 _let_36))) (let ((_let_38 (= _let_37 _let_35))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.elem X (tptp.snoc Q Y))))) (let ((_let_42 (tptp.elem _let_18 _let_36))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_37))) (let ((_let_45 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (tptp.index tptp.pendack _let_45))) (let ((_let_47 (or (not (= (tptp.queue _let_45) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_45))) (not (= _let_46 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (tptp.leq tptp.nbr_proc _let_46) (not (= (tptp.s _let_46) _let_6)) (= _let_45 _let_6) _let_25 _let_16 _let_44 _let_43 _let_14 _let_12 _let_10))) (let ((_let_48 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1944 $$unsorted) (BOUND_VARIABLE_1942 $$unsorted) (BOUND_VARIABLE_1940 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_1940))) (let ((_let_2 (tptp.index tptp.pendack _let_1))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.snoc (tptp.queue _let_1) (tptp.m_Halt X)))) (let ((_let_5 (tptp.host X))) (let ((_let_6 (tptp.index tptp.pendack _let_5))) (or (not (= (tptp.queue _let_5) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_5) Y) V))) (not (tptp.setIn X tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_5))) (not (= _let_6 (tptp.host Y))) (tptp.leq tptp.nbr_proc _let_6) (not (= (tptp.s _let_6) _let_1)) (= _let_5 _let_1) (not (tptp.setIn BOUND_VARIABLE_1940 tptp.alive)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_1942) _let_4)) (not (tptp.elem (tptp.m_Ack BOUND_VARIABLE_1940 BOUND_VARIABLE_1944) _let_4)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1))) (not (= _let_2 (tptp.host BOUND_VARIABLE_1944))) (not (= _let_3 (tptp.host BOUND_VARIABLE_1942))))))))))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (not _let_48))) (let ((_let_51 (_let_50))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_48))) (REFL :args (_let_49)) :args _let_31)) (NOT_OR_ELIM _let_30 :args (16)) :args (_let_49 true _let_48)))) (let ((_let_53 (REFL :args (_let_47)))) (let ((_let_54 (_let_3))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (= _let_33 _let_18))) (let ((_let_57 (or _let_56 _let_19))) (let ((_let_58 (= _let_42 _let_57))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down Pid20) (tptp.m_Ack Pid0 Pid30)))) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_16 _let_14 _let_12 _let_10 _let_20 _let_23 _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 7)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_31)) :args ((or _let_24 _let_47))) _let_52 :args (_let_24 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 8)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_31)) :args ((or _let_15 _let_47))) _let_52 :args (_let_15 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 11)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_31)) :args ((or _let_13 _let_47))) _let_52 :args (_let_13 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 12)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_31)) :args ((or _let_11 _let_47))) _let_52 :args (_let_11 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 13)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_31)) :args ((or _let_9 _let_47))) _let_52 :args (_let_9 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_19 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Ack X Y) (tptp.m_Halt Z)))) :args _let_59))) _let_60 :args ((not _let_56) false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_43 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 10)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_31)) :args ((or _let_42 _let_47))) _let_52 :args (_let_42 true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_18 _let_33 _let_17 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39))) _let_40 :args (_let_58 false _let_2)) :args (_let_57 false _let_42 false _let_58)) :args (_let_19 true _let_56 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_22 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.m_Down X) (tptp.m_Halt Y)))) :args _let_54)) _let_55 :args ((not _let_34) false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or _let_44 _let_35 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 9)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_37))) :args _let_31)) :args ((or _let_37 _let_47))) _let_52 :args (_let_37 true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_21 _let_33 _let_17 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_38 false _let_2)) :args (_let_35 false _let_37 false _let_38)) :args (_let_22 true _let_34 false _let_35)) :args (_let_32 false _let_24 false _let_15 false _let_13 false _let_11 false _let_9 false _let_19 false _let_22)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_30 :args (14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_5)) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_27))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_27 (= Z Z)))) :args ((or _let_28 _let_29))) (NOT_OR_ELIM _let_30 :args (15)) :args (_let_29 true _let_28)) :args (_let_5 true _let_27)) :args (false true _let_26 false _let_5)) :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 $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)) (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) _let_4 (forall ((X $$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 $$unsorted)) (not (= (tptp.m_NotNorm X) (tptp.m_Halt Y)))) _let_3 (forall ((X $$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))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))) _let_2 (forall ((X $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.53/0.75 )
% 0.53/0.75 % SZS output end Proof for SWV464+1
% 0.53/0.75 % cvc5---1.0.5 exiting
% 0.53/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------