TSTP Solution File: SWV476+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 21:51:41 EDT 2023
% Result : Theorem 0.80s 1.03s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 03:05:53 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.80/1.03 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VlVZ1bAaPT/cvc5---1.0.5_32731.p...
% 0.80/1.03 ------- get file name : TPTP file name is SWV476+1
% 0.80/1.03 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32731.smt2...
% 0.80/1.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.80/1.03 % SZS status Theorem for SWV476+1
% 0.80/1.03 % SZS output start Proof for SWV476+1
% 0.80/1.03 (
% 0.80/1.03 (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)) (=> (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_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)) (=> (tptp.leq tptp.nbr_proc _let_2) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.host Z))) (=> (or (tptp.setIn _let_1 (tptp.index tptp.acks (tptp.host X))) (= _let_1 (tptp.host Y))) (forall ((V0 $$unsorted)) (=> (= (tptp.host X) (tptp.host V0)) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.queue _let_2))) (=> (not (= (tptp.host Z) _let_2)) (=> (not (= _let_1 _let_2)) (=> (and (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host Y0))) (=> (and (not (tptp.leq _let_1 V1)) (tptp.leq (tptp.s tptp.zero) V1)) (or (tptp.setIn V1 (tptp.index tptp.down _let_1)) (= V1 (tptp.host X0)))))) (tptp.setIn Y0 tptp.alive) (tptp.leq tptp.nbr_proc _let_3) (tptp.elem (tptp.m_Down W0) _let_4) (tptp.elem (tptp.m_Down X0) _let_4) (= (tptp.host W0) _let_3) (= (tptp.index tptp.status _let_2) tptp.elec_1)) (not (and (tptp.setIn V0 tptp.alive) (= _let_1 (tptp.host V0))))))))))))))))))))))))))) (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 $$unsorted)) (not (tptp.leq (tptp.s X) X))))) (let ((_let_5 (forall ((P $$unsorted)) (tptp.leq (tptp.host P) tptp.nbr_proc)))) (let ((_let_6 (tptp.s tptp.zero))) (let ((_let_7 (forall ((P $$unsorted)) (tptp.leq (tptp.s tptp.zero) (tptp.host P))))) (let ((_let_8 (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$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.elem (tptp.m_Down Pid20) (tptp.queue _let_1))) (not (= _let_2 (tptp.host Pid20))) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))))) (let ((_let_9 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.index tptp.pendack _let_10))) (let ((_let_12 (tptp.leq _let_11 _let_9))) (let ((_let_13 (= tptp.elec_2 (tptp.index tptp.status _let_10)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_16 (= _let_10 _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.queue _let_9))) (let ((_let_19 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_18))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_20 _let_17 _let_14 _let_12))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (NOT_NOT_ELIM (NOT_OR_ELIM _let_26 :args (6))))) (let ((_let_28 (not _let_25))) (let ((_let_29 (tptp.s _let_9))) (let ((_let_30 (= tptp.nbr_proc _let_29))) (let ((_let_31 (= tptp.nbr_proc _let_11))) (let ((_let_32 (tptp.leq _let_29 _let_9))) (let ((_let_33 (not _let_12))) (let ((_let_34 (tptp.leq _let_29 tptp.nbr_proc))) (let ((_let_35 (tptp.leq tptp.nbr_proc _let_29))) (let ((_let_36 (and _let_35 _let_34))) (let ((_let_37 (= _let_36 _let_30))) (let ((_let_38 (_let_3))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((tptp.leq X Y)))) (let ((_let_41 (tptp.leq _let_15 tptp.nbr_proc))) (let ((_let_42 (= _let_29 _let_15))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((tptp.host P)))) (let ((_let_46 (not _let_42))) (let ((_let_47 (tptp.elem (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_18))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_35))) (let ((_let_50 (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (or (tptp.leq _let_1 V1) (not (tptp.leq (tptp.s tptp.zero) V1)) (tptp.setIn V1 (tptp.index tptp.down _let_1)) (= V1 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (= _let_10 _let_9))) (let ((_let_53 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_54 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_55 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_56 (= _let_10 _let_55))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.leq tptp.nbr_proc _let_11))) (let ((_let_59 (not _let_58))) (let ((_let_60 (= _let_11 _let_54))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or (not (= (tptp.queue _let_10) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) _let_22 _let_14 _let_61 _let_59 _let_57 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive)) (and (not (tptp.setIn _let_53 (tptp.index tptp.acks _let_10))) (not (= _let_54 _let_53))) (= _let_53 _let_9) _let_52 _let_51 _let_24 _let_49 _let_20 _let_48 _let_46 (not (= tptp.elec_1 (tptp.index tptp.status _let_9)))))) (let ((_let_63 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2184 $$unsorted) (BOUND_VARIABLE_2182 $$unsorted) (BOUND_VARIABLE_2180 $$unsorted) (BOUND_VARIABLE_2178 $$unsorted) (BOUND_VARIABLE_2170 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2184))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.queue _let_1))) (let ((_let_4 (tptp.host X))) (let ((_let_5 (tptp.host BOUND_VARIABLE_2178))) (let ((_let_6 (tptp.host Y))) (let ((_let_7 (tptp.index tptp.pendack _let_4))) (or (not (= (tptp.queue _let_4) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_4) Y) V))) (not (tptp.setIn X tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status _let_4))) (not (= _let_7 _let_6)) (not (tptp.leq tptp.nbr_proc _let_7)) (not (= _let_4 (tptp.host BOUND_VARIABLE_2170))) (not (tptp.setIn BOUND_VARIABLE_2170 tptp.alive)) (and (not (tptp.setIn _let_5 (tptp.index tptp.acks _let_4))) (not (= _let_6 _let_5))) (= _let_5 _let_1) (= _let_4 _let_1) (not (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2184))) (or (tptp.leq _let_1 V1) (not (tptp.leq (tptp.s tptp.zero) V1)) (tptp.setIn V1 (tptp.index tptp.down _let_1)) (= V1 (tptp.host BOUND_VARIABLE_2182)))))) (not (tptp.setIn BOUND_VARIABLE_2184 tptp.alive)) (not (tptp.leq tptp.nbr_proc _let_2)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2180) _let_3)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2182) _let_3)) (not (= _let_2 (tptp.host BOUND_VARIABLE_2180))) (not (= tptp.elec_1 (tptp.index tptp.status _let_1)))))))))))))) (let ((_let_64 (not _let_62))) (let ((_let_65 (or))) (let ((_let_66 (not _let_63))) (let ((_let_67 (_let_66))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_63))) (REFL :args (_let_64)) :args _let_65)) (NOT_OR_ELIM _let_26 :args (16)) :args (_let_64 true _let_63)))) (let ((_let_69 (REFL :args (_let_62)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 15)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_42))) :args _let_65)) :args ((or _let_42 _let_62))) _let_68 :args (_let_42 true _let_62)))) (let ((_let_71 (and _let_42 _let_41))) (let ((_let_72 (ASSUME :args (_let_41)))) (let ((_let_73 (APPLY_UF tptp.leq))) (let ((_let_74 (REFL :args (tptp.nbr_proc)))) (let ((_let_75 (ASSUME :args (_let_42)))) (let ((_let_76 (SYMM (SYMM _let_75)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or _let_30 (not _let_36) (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_36)) :args ((or _let_49 _let_36 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 12)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_35))) :args _let_65)) :args ((or _let_35 _let_62))) _let_68 :args (_let_35 true _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG _let_76 _let_74 :args _let_73) (TRUE_INTRO _let_72))) :args (_let_41 _let_42))) :args (_let_42 _let_41))) :args (true _let_71)) :args ((or _let_46 _let_34 (not _let_41)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_41 false _let_5)) :args (_let_34 false _let_42 false _let_41)) :args (_let_36 false _let_35 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.nbr_proc _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_3)) :args (_let_30 false _let_36 false _let_37)))) (let ((_let_78 (tptp.leq _let_11 tptp.nbr_proc))) (let ((_let_79 (and _let_58 _let_78))) (let ((_let_80 (= _let_79 _let_31))) (let ((_let_81 (tptp.leq _let_54 tptp.nbr_proc))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 3)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_65)) :args ((or _let_60 _let_62))) _let_68 :args (_let_60 true _let_62)))) (let ((_let_83 (and _let_60 _let_81))) (let ((_let_84 (ASSUME :args (_let_81)))) (let ((_let_85 (ASSUME :args (_let_60)))) (let ((_let_86 (SYMM (SYMM _let_85)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_31 (not _let_79) (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_79)) :args ((or _let_59 _let_79 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 4)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_65)) :args ((or _let_58 _let_62))) _let_68 :args (_let_58 true _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_83)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_85) (SCOPE (TRUE_ELIM (TRANS (CONG _let_86 _let_74 :args _let_73) (TRUE_INTRO _let_84))) :args (_let_81 _let_60))) :args (_let_60 _let_81))) :args (true _let_83)) :args ((or _let_61 _let_78 (not _let_81)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_81 false _let_5)) :args (_let_78 false _let_60 false _let_81)) :args (_let_79 false _let_58 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.nbr_proc _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_80 false _let_3)) :args (_let_31 false _let_79 false _let_80)))) (let ((_let_88 (not _let_32))) (let ((_let_89 (_let_4))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (and _let_88 _let_31 _let_30))) (let ((_let_92 (ASSUME :args (_let_88)))) (let ((_let_93 (REFL :args (_let_9)))) (let ((_let_94 (ASSUME :args (_let_30)))) (let ((_let_95 (SYMM (SYMM _let_94)))) (let ((_let_96 (ASSUME :args (_let_31)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_96 _let_92) (SCOPE (FALSE_ELIM (TRANS (CONG _let_97 _let_93 :args _let_73) (CONG _let_95 _let_93 :args _let_73) (FALSE_INTRO _let_92))) :args (_let_30 _let_31 _let_88))) :args (_let_88 _let_31 _let_30))) :args (true _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args (_let_33)) :args _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s X)))) :args _let_89)) _let_90 :args (_let_88 false _let_4)) _let_87 _let_77 :args (_let_33 true _let_32 false _let_31 false _let_30)))) (let ((_let_99 (= _let_10 _let_29))) (let ((_let_100 (tptp.leq _let_10 _let_9))) (let ((_let_101 (or _let_99 _let_100))) (let ((_let_102 (tptp.leq _let_10 _let_29))) (let ((_let_103 (= _let_102 _let_101))) (let ((_let_104 (_let_2))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (tptp.leq _let_10 tptp.nbr_proc))) (let ((_let_107 (and _let_60 _let_106 _let_31 _let_30))) (let ((_let_108 (ASSUME :args (_let_106)))) (let ((_let_109 (REFL :args (_let_10)))) (let ((_let_110 (tptp.leq _let_55 _let_9))) (let ((_let_111 (not _let_100))) (let ((_let_112 (tptp.leq _let_9 _let_55))) (let ((_let_113 (and _let_112 _let_110))) (let ((_let_114 (not _let_110))) (let ((_let_115 (= _let_55 _let_9))) (let ((_let_116 (= _let_113 _let_115))) (let ((_let_117 (not _let_113))) (let ((_let_118 (not _let_115))) (let ((_let_119 (not _let_52))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 5)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_65)) :args ((or _let_56 _let_62))) _let_68 :args (_let_56 true _let_62)))) (let ((_let_121 (REFL :args (_let_57)))) (let ((_let_122 (and _let_56 _let_119))) (let ((_let_123 (_let_56 _let_119))) (let ((_let_124 (ASSUME :args (_let_119)))) (let ((_let_125 (=))) (let ((_let_126 (ASSUME :args (_let_56)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_129 (= _let_55 _let_128))) (let ((_let_130 (tptp.index tptp.down _let_9))) (let ((_let_131 (tptp.setIn _let_55 _let_130))) (let ((_let_132 (tptp.leq _let_6 _let_55))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_112 _let_133 _let_131 _let_129))) (let ((_let_135 (_let_50))) (let ((_let_136 (tptp.setIn _let_10 _let_130))) (let ((_let_137 (not _let_131))) (let ((_let_138 (not _let_136))) (let ((_let_139 (or _let_24 _let_22 _let_138 _let_14 _let_12))) (let ((_let_140 (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_141 (_let_140))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 11)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_65)) :args ((or _let_23 _let_62))) _let_68 :args (_let_23 true _let_62)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 2)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_65)) :args ((or _let_13 _let_62))) _let_68 :args (_let_13 true _let_62)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_65)) :args ((or _let_21 _let_62))) _let_68 :args (_let_21 true _let_62)))) (let ((_let_145 (and _let_56 _let_138))) (let ((_let_146 (ASSUME :args (_let_138)))) (let ((_let_147 (_let_7))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 (= _let_10 _let_128))) (let ((_let_150 (not _let_129))) (let ((_let_151 (not _let_149))) (let ((_let_152 (or _let_24 _let_22 _let_48 _let_151 _let_14 _let_12))) (let ((_let_153 (_let_8))) (let ((_let_154 (tptp.m_Down Pid20))) (let ((_let_155 (tptp.host Pid0))) (let ((_let_156 (ASSUME :args _let_153))) (let ((_let_157 (and _let_56 _let_151))) (let ((_let_158 (ASSUME :args (_let_151)))) (let ((_let_159 (and _let_56 _let_114))) (let ((_let_160 (ASSUME :args (_let_114)))) (let ((_let_161 (and _let_42 _let_99))) (let ((_let_162 (_let_42 _let_99))) (let ((_let_163 (ASSUME :args (_let_99)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING (_let_154 (not (= (tptp.leq (tptp.index tptp.pendack _let_155) (tptp.host Z)) true))))) :args _let_153)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_14 _let_24 _let_20 _let_17 _let_12 _let_28))) _let_144 _let_143 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 13)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_65)) :args ((or _let_19 _let_62))) _let_68 :args (_let_19 true _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_161)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_163) (SCOPE (TRANS (SYMM (SYMM _let_163)) _let_76) :args _let_162)) :args _let_162)) :args (true _let_161)) :args ((or _let_46 _let_16 (not _let_99)))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_100 _let_99 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_159)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_160 _let_126) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_127) _let_93 :args _let_73) (FALSE_INTRO _let_160))) :args (_let_114 _let_56))) :args (_let_56 _let_114))) :args (true _let_159)) (CONG _let_121 (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_110))) (REFL :args (_let_111)) :args _let_65)) :args ((or _let_57 _let_111 _let_110))) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_113)) :args ((or (not _let_112) _let_113 _let_114))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_129 _let_133 _let_112 _let_131 (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_157)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_158 _let_126) (SCOPE (FALSE_ELIM (TRANS (CONG _let_127 (REFL :args (_let_128)) :args _let_125) (FALSE_INTRO _let_158))) :args (_let_151 _let_56))) :args (_let_56 _let_151))) :args (true _let_157)) (CONG _let_121 (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_149))) (REFL :args (_let_150)) :args _let_65)) :args ((or _let_57 _let_150 _let_149))) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_22 _let_14 _let_24 _let_48 _let_12 _let_151 (not _let_152)))) _let_144 _let_143 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 14)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_65)) :args ((or _let_47 _let_62))) _let_68 :args (_let_47 true _let_62)) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.setIn Z tptp.alive) false)) _let_155 _let_154))) :args _let_153)) _let_27 :args (_let_152 false _let_8)) :args (_let_151 false _let_21 false _let_13 false _let_23 false _let_47 true _let_12 false _let_152)) :args (_let_150 false _let_56 true _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.host P)))) :args _let_147)) _let_148 :args (_let_132 false _let_7)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_145)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_146 _let_126) (SCOPE (FALSE_ELIM (TRANS (CONG _let_127 (REFL :args (_let_130)) :args (APPLY_UF tptp.setIn)) (FALSE_INTRO _let_146))) :args (_let_138 _let_56))) :args (_let_56 _let_138))) :args (true _let_145)) (CONG _let_121 (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_136))) (REFL :args (_let_137)) :args _let_65)) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_22 _let_14 _let_24 _let_138 _let_12 (not _let_139)))) _let_144 _let_143 _let_142 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_141) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.index tptp.pendack (tptp.host Pid0)) (tptp.host Z)) true))))) :args _let_141)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_26 :args (4))) :args (_let_139 false _let_140)) :args (_let_138 false _let_21 false _let_13 false _let_23 true _let_12 false _let_139)) :args (_let_137 false _let_56 true _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_135) :args (_let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_6 V1) false))))) :args _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 10)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_65)) :args ((or _let_50 _let_62))) _let_68 :args (_let_50 true _let_62)) :args (_let_134 false _let_50)) :args (_let_112 true _let_129 false _let_132 true _let_131 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or _let_115 _let_117 (not _let_116)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_122)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_124) (SCOPE (FALSE_ELIM (TRANS (CONG _let_127 _let_93 :args _let_125) (FALSE_INTRO _let_124))) :args _let_123)) :args _let_123)) :args (true _let_122)) (CONG _let_121 (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_52))) (REFL :args (_let_118)) :args _let_65)) _let_120 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_62 9)) _let_68 :args (_let_119 true _let_62)) :args (_let_118 false _let_56 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_9 _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38))) _let_39 :args (_let_116 false _let_3)) :args (_let_117 true _let_115 false _let_116)) :args (_let_114 false _let_112 true _let_113)) :args (_let_111 false _let_56 true _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or _let_101 (not _let_102) (not _let_103)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_94 _let_96 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_109 (TRANS (SYMM _let_95) _let_96 _let_86) :args _let_73) (CONG _let_109 (TRANS (SYMM _let_86) _let_97) :args _let_73) (TRUE_INTRO _let_108))) :args (_let_60 _let_30 _let_31 _let_106))) :args (_let_60 _let_106 _let_31 _let_30))) :args (true _let_107)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_106 false _let_5)) _let_87 _let_77 :args (_let_102 false _let_60 false _let_106 false _let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_10 _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.leq X (tptp.s Y))))) :args _let_104)) _let_105 :args (_let_103 false _let_2)) :args (_let_101 false _let_102 false _let_103)) :args (_let_99 true _let_100 false _let_101)) :args (_let_16 false _let_42 false _let_99)) _let_98 :args (_let_28 false _let_21 false _let_13 false _let_23 false _let_19 false _let_16 true _let_12)) _let_27 :args (false true _let_25 false _let_8)) :args ((forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid Pid2) (tptp.queue (tptp.host Pid))) (and (tptp.setIn Pid tptp.pids) (tptp.setIn Pid2 tptp.pids)))) (forall ((P $$unsorted) (Q $$unsorted)) (let ((_let_1 (tptp.host Q))) (let ((_let_2 (tptp.host P))) (=> (= (tptp.s _let_2) _let_1) (not (= _let_2 _let_1)))))) _let_7 (tptp.leq _let_6 tptp.nbr_proc) _let_5 (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))) (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.cons Y Q)) (or (= X Y) (tptp.elem X Q)))) (forall ((X $$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 $$unsorted)) (=> (and (tptp.ordered (tptp.cons (tptp.m_Halt X) Q)) (= (tptp.host X) (tptp.host Y)) (tptp.elem (tptp.m_Down Y) Q)) (tptp.leq X Y))) _let_4 (forall ((X $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.80/1.04 )
% 0.80/1.04 % SZS output end Proof for SWV476+1
% 0.80/1.04 % cvc5---1.0.5 exiting
% 0.80/1.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------