TSTP Solution File: SWV468+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 21:51:39 EDT 2023
% Result : Theorem 0.23s 0.64s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n031.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 08:22:11 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.64 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lJ1Gf4Dud6/cvc5---1.0.5_4944.p...
% 0.23/0.64 ------- get file name : TPTP file name is SWV468+1
% 0.23/0.64 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4944.smt2...
% 0.23/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.64 % SZS status Theorem for SWV468+1
% 0.23/0.64 % SZS output start Proof for SWV468+1
% 0.23/0.64 (
% 0.23/0.64 (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.status _let_1))) (let ((_let_3 (tptp.host Y))) (=> (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)) (=> (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)) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status (tptp.host Pid0)) tptp.elec_2)) (not (tptp.elem (tptp.m_Ack Z Pid0) (tptp.queue (tptp.host Z)))))) (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) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (tptp.setIn _let_2 (tptp.index tptp.down _let_1)) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.setIn _let_1 (tptp.index tptp.down (tptp.host Z)))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_2 _let_1)) (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= _let_2 (tptp.host Pid20)) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1))))))) (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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Ack Pid0 Pid20) (tptp.queue (tptp.host Pid0))) (= (tptp.host Pid20) _let_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm)))))) (forall ((Z $$unsorted) (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 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1)) (= _let_2 (tptp.host Pid20)) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (= (tptp.host Pid20) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (not (and (tptp.setIn Z tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue (tptp.host Z)))))))) (forall ((Z $$unsorted) (Pid0 $$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.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 $$unsorted) (Pid0 $$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 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.host Pid20) _let_1) (= (tptp.index tptp.status _let_2) tptp.elec_2)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (not (tptp.leq _let_2 _let_1)) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (not (and (tptp.setIn Z tptp.alive) (= (tptp.index tptp.ldr _let_1) _let_1) (= (tptp.index tptp.status _let_1) tptp.norm))))))) (= (tptp.queue _let_1) (tptp.cons (tptp.m_Down Y) V))) (=> (tptp.setIn X tptp.alive) (=> (not (tptp.leq _let_1 _let_3)) (=> (not (or (and (= (tptp.index tptp.ldr _let_1) _let_3) (= _let_2 tptp.norm)) (and (= _let_2 tptp.wait) (= _let_3 (tptp.host (tptp.index tptp.elid _let_1)))))) (=> (and (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (and (not (tptp.leq _let_1 Z)) (tptp.leq (tptp.s tptp.zero) Z)) (or (tptp.setIn Z (tptp.index tptp.down _let_1)) (= Z (tptp.host Y)))))) (= _let_2 tptp.elec_1)) (=> (tptp.leq tptp.nbr_proc _let_1) (forall ((Z $$unsorted)) (=> (not (tptp.setIn (tptp.host Z) tptp.setEmpty)) (forall ((V0 $$unsorted)) (=> (= (tptp.host X) (tptp.host V0)) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.host V0))) (let ((_let_2 (tptp.host X))) (let ((_let_3 (tptp.host W0))) (=> (not (= _let_2 _let_3)) (=> (and (not (tptp.leq (tptp.index tptp.pendack _let_3) _let_1)) (tptp.setIn W0 tptp.alive) (= (tptp.index tptp.status _let_3) tptp.elec_2)) (not (and (tptp.setIn V0 tptp.alive) (= _let_2 _let_1)))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_4 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_5 (tptp.s tptp.zero))) (let ((_let_6 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))))) (let ((_let_7 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.leq _let_5 _let_7))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.setIn _let_7 (tptp.index tptp.down _let_9)))) (let ((_let_11 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (= _let_11 _let_7))) (let ((_let_13 (not _let_8))) (let ((_let_14 (tptp.leq _let_9 _let_7))) (let ((_let_15 (or _let_14 _let_13 _let_10 _let_12))) (let ((_let_16 (_let_6))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.index tptp.pendack _let_7))) (let ((_let_19 (tptp.leq _let_18 _let_9))) (let ((_let_20 (= tptp.elec_2 (tptp.index tptp.status _let_7)))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_10))) (let ((_let_23 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.alive))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_21 _let_19))) (let ((_let_28 (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.setIn _let_2 (tptp.index tptp.down _let_1))) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (tptp.leq _let_18 _let_31))) (let ((_let_33 (= _let_9 _let_31))) (let ((_let_34 (not _let_19))) (let ((_let_35 (= _let_9 _let_7))) (let ((_let_36 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.alive)))) (let ((_let_37 (not _let_33))) (let ((_let_38 (tptp.leq tptp.nbr_proc _let_9))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.index tptp.status _let_9))) (let ((_let_41 (= tptp.elec_1 _let_40))) (let ((_let_42 (not _let_41))) (let ((_let_43 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= Z (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.index tptp.elid _let_9))) (let ((_let_46 (tptp.host _let_45))) (let ((_let_47 (and (= tptp.wait _let_40) (= _let_11 _let_46)))) (let ((_let_48 (and (= _let_11 (tptp.index tptp.ldr _let_9)) (= tptp.norm _let_40)))) (let ((_let_49 (tptp.leq _let_9 _let_11))) (let ((_let_50 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_51 (tptp.cons _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (tptp.queue _let_9))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_26 _let_49 _let_48 _let_47 _let_44 _let_42 _let_39 _let_37 _let_36 _let_35 _let_32 _let_24 _let_21))) (let ((_let_56 (not _let_32))) (let ((_let_57 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2054 $$unsorted) (BOUND_VARIABLE_2052 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2054))) (let ((_let_2 (tptp.host BOUND_VARIABLE_2052))) (let ((_let_3 (tptp.host X))) (let ((_let_4 (tptp.index tptp.status _let_3))) (let ((_let_5 (tptp.host Y))) (or (not (= (tptp.queue _let_3) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_3 _let_5) (and (= _let_5 (tptp.index tptp.ldr _let_3)) (= tptp.norm _let_4)) (and (= tptp.wait _let_4) (= _let_5 (tptp.host (tptp.index tptp.elid _let_3)))) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host X))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host Y) Z))))) (not (= tptp.elec_1 _let_4)) (not (tptp.leq tptp.nbr_proc _let_3)) (not (= _let_3 _let_2)) (not (tptp.setIn BOUND_VARIABLE_2052 tptp.alive)) (= _let_3 _let_1) (tptp.leq (tptp.index tptp.pendack _let_1) _let_2) (not (tptp.setIn BOUND_VARIABLE_2054 tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_1)))))))))))) (let ((_let_58 (not _let_55))) (let ((_let_59 (or))) (let ((_let_60 (not _let_57))) (let ((_let_61 (_let_60))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61) (REWRITE :args ((=> _let_60 (not (or _let_54 _let_26 _let_49 _let_48 _let_47 (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (tptp.leq _let_1 Z) (not (tptp.leq (tptp.s tptp.zero) Z)) (tptp.setIn Z (tptp.index tptp.down _let_1)) (= (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Z))))) _let_42 _let_39 _let_37 _let_36 _let_35 _let_32 _let_24 _let_21))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_57))) (REFL :args (_let_58)) :args _let_59)) (NOT_OR_ELIM _let_29 :args (17)) :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_55)))) (let ((_let_64 (and _let_33 _let_56))) (let ((_let_65 (ASSUME :args (_let_56)))) (let ((_let_66 (APPLY_UF tptp.leq))) (let ((_let_67 (ASSUME :args (_let_33)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_67) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_18)) (SYMM (SYMM _let_67)) :args _let_66) (FALSE_INTRO _let_65))) :args (_let_56 _let_33))) :args (_let_33 _let_56))) :args (true _let_64)) (CONG (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_32))) (REFL :args (_let_34)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 8)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) :args _let_59)) :args ((or _let_33 _let_55))) _let_62 :args (_let_33 true _let_55)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 11)) _let_62 :args (_let_56 true _let_55)) :args (_let_34 false _let_33 true _let_32)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 13)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_59)) :args ((or _let_20 _let_55))) _let_62 :args (_let_20 true _let_55)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 12)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_59)) :args ((or _let_23 _let_55))) _let_62 :args (_let_23 true _let_55)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_59)) :args ((or _let_25 _let_55))) _let_62 :args (_let_25 true _let_55)))) (let ((_let_72 (_let_43))) (let ((_let_73 (tptp.leq _let_46 _let_7))) (let ((_let_74 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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$$unsorted)) (or (= X (tptp.m_Halt Y)) (= X (tptp.m_Down Y)))))) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Halt X)) X)) (forall ((X $$unsorted)) (= (tptp.pidMsg (tptp.m_Down X)) X)) (tptp.ordered tptp.q_nil) (forall ((X $$unsorted)) (and (tptp.ordered (tptp.cons X tptp.q_nil)) (tptp.ordered (tptp.snoc tptp.q_nil X)))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.cons X Q)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg Y))) (let ((_let_2 (tptp.pidMsg X))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_1) (tptp.host _let_2))) (tptp.leq _let_2 _let_1)))))))) (forall ((X $$unsorted) (Q $$unsorted)) (= (tptp.ordered (tptp.snoc Q X)) (and (tptp.ordered Q) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.pidMsg X))) (let ((_let_2 (tptp.pidMsg Y))) (=> (and (tptp.elem Y Q) (tptp.pidElem X) (tptp.pidElem Y) (= (tptp.host _let_2) (tptp.host _let_1))) (tptp.leq _let_2 _let_1)))))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ack X Y))))) (forall ((Q $$unsorted) (X $$unsorted)) (=> (tptp.ordered Q) (tptp.ordered (tptp.snoc Q (tptp.m_Ldr X))))) (forall ((Q $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.ordered (tptp.cons (tptp.m_Halt X) Q)) (= (tptp.host X) (tptp.host Y)) (tptp.elem (tptp.m_Down Y) Q)) (tptp.leq X Y))) (forall ((X $$unsorted)) (not (tptp.leq (tptp.s X) X))) (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.leq X Y) (tptp.leq Y X))) _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.leq X _let_1) (or (= X _let_1) (tptp.leq X Y))))) (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.65 )
% 0.23/0.65 % SZS output end Proof for SWV468+1
% 0.23/0.65 % cvc5---1.0.5 exiting
% 0.23/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------