TSTP Solution File: SWV481+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV481+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 21:51:42 EDT 2023
% Result : Theorem 0.56s 0.77s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV481+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 09:23:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.56/0.77 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RoiT3jAFTB/cvc5---1.0.5_8584.p...
% 0.56/0.77 ------- get file name : TPTP file name is SWV481+1
% 0.56/0.77 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8584.smt2...
% 0.56/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.56/0.77 % SZS status Theorem for SWV481+1
% 0.56/0.77 % SZS output start Proof for SWV481+1
% 0.56/0.77 (
% 0.56/0.77 (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)) (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)) (=> (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) (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 (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 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (let ((_let_2 (tptp.host Z))) (=> (and (tptp.setIn Z tptp.alive) (tptp.setIn Pid0 tptp.alive) (= (tptp.index tptp.ldr _let_2) _let_2) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1)) (= Pid0 Z))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid20))) (let ((_let_3 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_2 _let_3)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_3)) (= _let_2 _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 $$unsorted) (Pid30 $$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 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Pid20))) (let ((_let_2 (tptp.host Pid0))) (=> (and (not (= _let_2 _let_1)) (tptp.setIn Pid0 tptp.alive) (tptp.elem (tptp.m_Down Z) (tptp.queue _let_2)) (= _let_1 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.norm) (= (tptp.index tptp.ldr _let_2) _let_1)) (not (and (tptp.setIn Pid20 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1))))))) (forall ((Z $$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) (tptp.elem (tptp.m_Down Z) (tptp.queue _let_2)) (= _let_1 (tptp.host Z)) (= (tptp.index tptp.status _let_2) tptp.wait) (= (tptp.host (tptp.index tptp.elid _let_2)) _let_1)) (not (and (tptp.setIn Pid20 tptp.alive) (= (tptp.index tptp.status _let_1) tptp.norm) (= (tptp.index tptp.ldr _let_1) _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (=> (and (forall ((V0 $$unsorted)) (let ((_let_1 (tptp.host Pid0))) (=> (and (not (tptp.leq _let_1 V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down _let_1)) (= V0 (tptp.host Pid20)))))) (tptp.setIn Z tptp.alive) (tptp.leq _let_1 _let_2) (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_2)) (= (tptp.host Pid30) _let_2) (= (tptp.index tptp.status _let_1) tptp.elec_2) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (not (tptp.elem (tptp.m_Ack Z Pid30) (tptp.queue _let_1))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_2))) (=> (and (forall ((V0 $$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.setIn Pid0 tptp.alive) (tptp.leq tptp.nbr_proc _let_3) (tptp.elem (tptp.m_Down Pid20) _let_4) (tptp.elem (tptp.m_Down Pid30) _let_4) (= (tptp.host Pid30) _let_3) (= (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)))))) (=> (not (and (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host X))) (=> (and (not (tptp.leq _let_1 Z)) (tptp.leq (tptp.s tptp.zero) Z)) (or (tptp.setIn Z (tptp.index tptp.down _let_1)) (= Z (tptp.host Y)))))) (= _let_2 tptp.elec_1))) (forall ((Z $$unsorted) (W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.s _let_2))) (=> (= (tptp.host X) _let_2) (=> (and (forall ((V0 $$unsorted)) (=> (and (not (tptp.leq (tptp.host Y0) V0)) (tptp.leq (tptp.s tptp.zero) V0)) (or (tptp.setIn V0 (tptp.index tptp.down (tptp.host X))) (= V0 (tptp.host Y)) (= V0 (tptp.host X0))))) (tptp.setIn Y0 tptp.alive) (tptp.elem (tptp.m_Down W0) V) (tptp.elem (tptp.m_Down X0) V) (tptp.leq tptp.nbr_proc _let_3) (= (tptp.host W0) _let_3) (= (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))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.leq X _let_1) (or (= X _let_1) (tptp.leq X Y))))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (tptp.leq X Y) (tptp.leq Y X)) (= X Y))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_5 (= tptp.elec_1 tptp.norm))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_8 (tptp.s tptp.zero))) (let ((_let_9 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))))) (let ((_let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (= tptp.norm (tptp.index tptp.status _let_10)))) (let ((_let_12 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (= tptp.elec_1 (tptp.index tptp.status _let_12)))) (let ((_let_16 (tptp.index tptp.elid _let_13))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_16))) (let ((_let_18 (= _let_10 _let_12))) (let ((_let_19 (ASSUME :args (_let_6)))) (let ((_let_20 (not _let_11))) (let ((_let_21 (= _let_10 (tptp.index tptp.ldr _let_10)))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.alive))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_20))) (let ((_let_26 (forall ((Z $$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_27 (not _let_25))) (let ((_let_28 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (or (not (tptp.setIn Z tptp.alive)) (not (= _let_1 (tptp.index tptp.ldr _let_1))) (not (= tptp.norm (tptp.index tptp.status _let_1)))))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (_let_29))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_26))) (REFL :args (_let_27)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_26 (= Z Z)))) :args ((or _let_28 _let_29))) (NOT_OR_ELIM _let_30 :args (16)) :args (_let_29 true _let_28)) :args (_let_27 true _let_26)))) (let ((_let_34 (REFL :args (_let_25)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_11))) :args _let_31)) :args ((or _let_11 _let_25))) _let_33 :args (_let_11 true _let_25)))) (let ((_let_36 (not _let_15))) (let ((_let_37 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (tptp.s _let_12))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.leq tptp.nbr_proc _let_38))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (tptp.elem _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (not _let_44))) (let ((_let_46 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.alive)))) (let ((_let_47 (forall ((V0 $$unsorted)) (or (tptp.leq (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (= V0 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_14))) (let ((_let_50 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_51 (tptp.elem _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.index tptp.status _let_13))) (let ((_let_54 (= tptp.elec_1 _let_53))) (let ((_let_55 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_56 (tptp.index tptp.down _let_13))) (let ((_let_57 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_56))) (let ((_let_58 (not (tptp.leq _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_59 (tptp.leq _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_60 (tptp.host _let_16))) (let ((_let_61 (and (= tptp.wait _let_53) (= _let_55 _let_60)))) (let ((_let_62 (and (= _let_55 (tptp.index tptp.ldr _let_13)) (= tptp.norm _let_53)))) (let ((_let_63 (tptp.leq _let_13 _let_55))) (let ((_let_64 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.alive))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_67 (tptp.cons _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_68 (tptp.queue _let_13))) (let ((_let_69 (= _let_68 _let_67))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_65 _let_63 _let_62 _let_61 (and (or _let_59 _let_58 _let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_55)) _let_54) _let_52 _let_49 _let_48 _let_46 _let_45 _let_42 _let_40 _let_36))) (let ((_let_72 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2148 $$unsorted) (BOUND_VARIABLE_2146 $$unsorted) (BOUND_VARIABLE_2150 $$unsorted) (BOUND_VARIABLE_2137 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2148))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.host X))) (let ((_let_4 (tptp.index tptp.status _let_3))) (let ((_let_5 (tptp.host Y))) (or (not (= (tptp.queue _let_3) (tptp.cons (tptp.m_Down Y) V))) (not (tptp.setIn X tptp.alive)) (tptp.leq _let_3 _let_5) (and (= _let_5 (tptp.index tptp.ldr _let_3)) (= tptp.norm _let_4)) (and (= tptp.wait _let_4) (= _let_5 (tptp.host (tptp.index tptp.elid _let_3)))) (and (or (tptp.leq _let_3 BOUND_VARIABLE_2137) (not (tptp.leq (tptp.s tptp.zero) BOUND_VARIABLE_2137)) (tptp.setIn BOUND_VARIABLE_2137 (tptp.index tptp.down _let_3)) (= _let_5 BOUND_VARIABLE_2137)) (= tptp.elec_1 _let_4)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2146) V)) (not (= _let_3 _let_1)) (not (forall ((V0 $$unsorted)) (or (tptp.leq (tptp.host BOUND_VARIABLE_2148) V0) (not (tptp.leq (tptp.s tptp.zero) V0)) (tptp.setIn V0 (tptp.index tptp.down (tptp.host X))) (= 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:args (true _let_171)) :args ((or _let_40 _let_163 (not _let_166)))) _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_169)) :args _let_167)) _let_168 :args (_let_166 false _let_7)) :args (_let_163 false _let_39 false _let_166)) :args (_let_164 false _let_41 false _let_163)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.nbr_proc _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_165 false _let_3)) :args (_let_161 false _let_164 false _let_165)) :args (_let_157 false _let_162 false _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (_let_10 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.leq X (tptp.s Y))))) :args _let_159)) _let_160 :args (_let_158 false _let_2)) :args (_let_156 false _let_157 false _let_158)) :args (_let_98 true _let_155 false _let_156)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_105 _let_108 _let_104 _let_97 _let_106 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_24 _let_22 _let_20 _let_65 _let_148 _let_147 (not _let_149)))) _let_116 _let_115 _let_35 _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_153)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_136) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_66)) _let_137 :args _let_135) (TRUE_INTRO _let_154))) :args (_let_152 _let_69))) :args (_let_69 _let_152))) :args (true _let_153)) :args ((or _let_70 _let_146 (not _let_152)))) _let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_66 _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_131)) :args _let_129))) _let_130 :args (_let_152 false _let_4)) :args (_let_146 false _let_69 false _let_152)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING (_let_124 _let_151 _let_150))) :args _let_123)) _let_122 :args (_let_149 false _let_121)) :args (_let_148 false _let_23 false _let_21 false _let_11 false _let_64 false _let_146 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.host P)))) :args _let_144)) _let_145 :args (_let_107 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_24 _let_22 _let_20 _let_65 _let_119 _let_118 (not _let_120)))) _let_116 _let_115 _let_35 _let_95 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_134 _let_136 _let_140) (SCOPE (TRUE_ELIM (TRANS (CONG _let_143 (SYMM _let_142) :args _let_135) (CONG _let_143 (TRANS _let_142 _let_137) :args _let_135) (TRUE_INTRO _let_134))) :args (_let_126 _let_69 _let_17))) :args (_let_69 _let_17 _let_126))) :args (true _let_133)) _let_132 _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_128)) :args ((or _let_126 (not _let_127) (not _let_128)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_127 1)) :args ((or _let_45 _let_127))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 10)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_31)) :args ((or _let_44 _let_71))) _let_76 :args (_let_44 true _let_71)) :args (_let_127 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_43 _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_131)) :args _let_129))) _let_130 :args (_let_128 false _let_4)) :args (_let_126 false _let_127 false _let_128)) :args (_let_117 false _let_69 false _let_17 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.setIn Pid0 tptp.alive) false)) (tptp.host Pid20) _let_124))) :args _let_123)) _let_122 :args (_let_120 false _let_121)) :args (_let_119 false _let_23 false _let_21 false _let_11 false _let_64 false _let_117 false _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_24 _let_22 _let_20 _let_65 _let_111 (not _let_112)))) _let_116 _let_115 _let_35 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_114) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.setIn (tptp.host Pid0) (tptp.index tptp.down (tptp.host Z))) false))))) :args _let_114)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_30 :args (5))) :args (_let_112 false _let_113)) :args (_let_111 false _let_23 false _let_21 false _let_11 false _let_64 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_8 V0) false))))) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 8)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_31)) :args ((or _let_47 _let_71))) _let_76 :args (_let_47 true _let_71)) :args (_let_109 false _let_47)) :args (_let_97 true _let_105 false _let_107 true _let_104 true _let_106 false _let_109)) :args (_let_99 false _let_98 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_10 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_100 false _let_3)) :args (_let_18 false _let_99 false _let_100)) _let_96 _let_79 _let_78 _let_35 _let_19 :args (false false _let_18 false _let_17 false _let_15 false _let_14 false _let_11 true _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)))))) _let_9 (tptp.leq _let_8 tptp.nbr_proc) _let_7 (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) _let_6 (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_4 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))) (forall ((X $$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))) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.leq (tptp.s X) (tptp.s Y)))) _let_2 (forall ((X $$unsorted)) (not (tptp.setIn X tptp.setEmpty))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.56/0.77 )
% 0.56/0.77 % SZS output end Proof for SWV481+1
% 0.56/0.77 % cvc5---1.0.5 exiting
% 0.56/0.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------