TSTP Solution File: SWV475+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV475+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 21:51:40 EDT 2023
% Result : Theorem 1.08s 1.32s
% Output : Proof 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV475+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n017.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 07:31:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 1.08/1.32 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ceSdkTuXZx/cvc5---1.0.5_29164.p...
% 1.08/1.32 ------- get file name : TPTP file name is SWV475+1
% 1.08/1.32 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29164.smt2...
% 1.08/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.08/1.32 % SZS status Theorem for SWV475+1
% 1.08/1.32 % SZS output start Proof for SWV475+1
% 1.08/1.32 (
% 1.08/1.32 (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 $$unsorted)) (let ((_let_1 (tptp.host X))) (let ((_let_2 (tptp.host Y0))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.snoc (tptp.queue _let_2) (tptp.m_Ldr X)))) (=> (= (tptp.host Z) _let_2) (=> (not (= _let_1 _let_2)) (=> (and (forall ((V1 $$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 $$unsorted)) (not (tptp.leq (tptp.s X) X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (tptp.elem X (tptp.snoc Q Y)) (or (= X Y) (tptp.elem X Q)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (not (= (tptp.m_Down X) (tptp.m_Ldr Y)))))) (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 (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (tptp.host Z))) (let ((_let_2 (tptp.host Pid0))) (or (not (tptp.setIn Z tptp.alive)) (not (tptp.setIn Pid0 tptp.alive)) (not (tptp.elem (tptp.m_Down Pid20) (tptp.queue _let_1))) (not (= _let_2 (tptp.host Pid20))) (not (= tptp.elec_2 (tptp.index tptp.status _let_2))) (tptp.leq (tptp.index tptp.pendack _let_2) _let_1))))))) (let ((_let_11 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.index tptp.pendack _let_12))) (let ((_let_14 (tptp.leq _let_13 _let_11))) (let ((_let_15 (= tptp.elec_2 (tptp.index tptp.status _let_12)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_18 (= _let_12 _let_17))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.queue _let_11))) (let ((_let_21 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_22 (tptp.elem _let_21 _let_20))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.alive))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.alive))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23 _let_19 _let_16 _let_14))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (NOT_NOT_ELIM (NOT_OR_ELIM _let_29 :args (6))))) (let ((_let_31 (not _let_28))) (let ((_let_32 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_33 (= _let_32 _let_17))) (let ((_let_34 (= _let_12 _let_32))) (let ((_let_35 (tptp.index tptp.down _let_11))) (let ((_let_36 (tptp.setIn _let_32 _let_35))) (let ((_let_37 (tptp.leq _let_8 _let_32))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.leq _let_11 _let_32))) (let ((_let_40 (or _let_39 _let_38 _let_36 _let_33))) (let ((_let_41 (forall ((V1 $$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_42 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_43 (tptp.s _let_11))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.m_Ldr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (tptp.snoc _let_20 _let_46))) (let ((_let_48 (tptp.elem _let_21 _let_47))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.m_Down SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_51 (tptp.elem _let_50 _let_47))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.leq tptp.nbr_proc _let_43))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_41))) (let ((_let_56 (= _let_12 _let_11))) (let ((_let_57 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_58 (= _let_57 _let_11))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.host SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (not _let_34))) (let ((_let_62 (tptp.leq tptp.nbr_proc _let_13))) (let ((_let_63 (not _let_62))) (let ((_let_64 (= _let_13 _let_60))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or (not (= (tptp.queue _let_12) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid _let_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) _let_25 _let_16 _let_65 _let_63 _let_61 (not (tptp.setIn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.alive)) (and (not (tptp.setIn _let_57 (tptp.index tptp.acks _let_12))) (not (= _let_60 _let_57))) _let_59 _let_56 _let_55 _let_27 _let_54 _let_52 _let_49 _let_45 (not (= tptp.elec_1 (tptp.index tptp.status _let_11)))))) (let ((_let_67 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_2188 $$unsorted) (BOUND_VARIABLE_2186 $$unsorted) (BOUND_VARIABLE_2184 $$unsorted) (BOUND_VARIABLE_2182 $$unsorted) (BOUND_VARIABLE_2174 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2188))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.snoc (tptp.queue _let_1) (tptp.m_Ldr X)))) (let ((_let_4 (tptp.host X))) (let ((_let_5 (tptp.host BOUND_VARIABLE_2182))) (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_2174))) (not (tptp.setIn BOUND_VARIABLE_2174 tptp.alive)) (and (not (tptp.setIn _let_5 (tptp.index tptp.acks _let_4))) (not (= _let_6 _let_5))) (not (= _let_5 _let_1)) (= _let_4 _let_1) (not (forall ((V1 $$unsorted)) (let ((_let_1 (tptp.host BOUND_VARIABLE_2188))) (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_2186)))))) (not (tptp.setIn BOUND_VARIABLE_2188 tptp.alive)) (not (tptp.leq tptp.nbr_proc _let_2)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2184) _let_3)) (not (tptp.elem (tptp.m_Down BOUND_VARIABLE_2186) _let_3)) (not (= _let_2 (tptp.host BOUND_VARIABLE_2184))) (not (= tptp.elec_1 (tptp.index tptp.status _let_1)))))))))))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (or))) (let ((_let_70 (not _let_67))) (let ((_let_71 (_let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_67))) (REFL :args (_let_68)) :args _let_69)) (NOT_OR_ELIM _let_29 :args 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_let_164) (SCOPE (TRUE_ELIM (TRANS (CONG _let_165 (TRANS (SYMM _let_120) _let_121 _let_111) :args _let_98) (CONG _let_165 (TRANS (SYMM _let_111) _let_122) :args _let_98) (TRUE_INTRO _let_164))) :args (_let_64 _let_81 _let_82 _let_162))) :args (_let_64 _let_162 _let_82 _let_81))) :args (true _let_163)) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_162 false _let_7)) _let_112 _let_102 :args (_let_158 false _let_64 false _let_162 false _let_82 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_12 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.leq X (tptp.s Y))))) :args _let_160)) _let_161 :args (_let_159 false _let_2)) :args (_let_157 false _let_158 false _let_159)) :args (_let_155 true _let_156 false _let_157)) :args (_let_144 false _let_34 false _let_58 false _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_148)) :args ((or _let_147 _let_149 (not _let_148)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_138 _let_153 _let_134) (SCOPE (FALSE_ELIM (TRANS (CONG _let_140 _let_136 :args _let_154) (FALSE_INTRO _let_153))) :args (_let_34 _let_151 _let_58))) :args (_let_34 _let_58 _let_151))) :args (true _let_152)) (CONG _let_130 _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_56))) (REFL :args (_let_150)) :args _let_69)) _let_128 _let_127 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_66 9)) _let_72 :args (_let_151 true _let_66)) :args (_let_150 false _let_34 false _let_58 true _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_32 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88))) _let_89 :args (_let_148 false _let_3)) :args (_let_149 true _let_147 false _let_148)) :args (_let_146 false _let_144 true _let_145)) :args (_let_143 false _let_58 true _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_138 _let_134) (SCOPE (FALSE_ELIM (TRANS (CONG _let_141 (SYMM _let_137) :args _let_133) (CONG _let_140 _let_137 :args _let_133) (FALSE_INTRO _let_132))) :args (_let_77 _let_34 _let_58))) :args (_let_34 _let_58 _let_77))) :args (true _let_131)) (CONG _let_130 _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_75))) (REFL :args (_let_76)) :args _let_69)) :args ((or _let_61 _let_59 _let_76 _let_75))) _let_128 _let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_25 _let_16 _let_27 _let_14 _let_77 (not _let_78)))) _let_126 _let_125 _let_124 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.setIn (tptp.host Pid0) (tptp.index tptp.down (tptp.host Z))) false))))) :args _let_80)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_29 :args (4))) :args (_let_78 false _let_79)) :args (_let_77 false _let_24 false _let_15 false _let_26 true _let_14 false _let_78)) :args (_let_76 false _let_34 false _let_58 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq _let_8 V1) false))))) :args _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 10)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_41))) :args _let_69)) :args ((or _let_41 _let_66))) _let_72 :args (_let_41 true _let_66)) :args (_let_40 false _let_41)) :args (_let_33 false _let_37 true _let_39 true _let_36 false _let_40)) :args (_let_18 false _let_34 false _let_33)) :args (_let_31 false _let_24 false _let_15 false _let_26 false _let_22 true _let_14 false _let_18)) _let_30 :args (false true _let_28 false _let_10)) :args ((forall ((Pid $$unsorted) (Pid2 $$unsorted)) (=> (tptp.elem (tptp.m_Ack Pid Pid2) (tptp.queue (tptp.host Pid))) (and (tptp.setIn Pid tptp.pids) (tptp.setIn Pid2 tptp.pids)))) (forall ((P $$unsorted) (Q $$unsorted)) (let ((_let_1 (tptp.host Q))) (let ((_let_2 (tptp.host P))) (=> (= (tptp.s _let_2) _let_1) (not (= _let_2 _let_1)))))) _let_9 (tptp.leq _let_8 tptp.nbr_proc) _let_7 (not (= tptp.elec_1 tptp.elec_2)) (not (= tptp.elec_1 tptp.wait)) (not (= tptp.elec_1 tptp.norm)) (not (= tptp.elec_2 tptp.wait)) (not (= tptp.elec_2 tptp.norm)) (not (= tptp.norm tptp.wait)) (forall ((X $$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)))) _let_6 (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_5 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.08/1.33 )
% 1.08/1.33 % SZS output end Proof for SWV475+1
% 1.08/1.33 % cvc5---1.0.5 exiting
% 1.08/1.33 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------