0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : do_cvc5 %s %d 0.10/0.30 % Computer : n028.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 05:57:35 EDT 2022 0.10/0.30 % CPUTime : 0.15/0.41 %----Proving TF0_NAR, FOF, or CNF 1.18/1.45 ------- cvc5-fof casc J11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p... 1.18/1.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 1.18/1.45 % SZS status Theorem for theBenchmark 1.18/1.45 % SZS output start Proof for theBenchmark 1.18/1.45 (let ((_let_1 (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (host X))) (let ((_let_2 (index status _let_1))) (let ((_let_3 (host Y))) (=> (and (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (=> (elem (m_Ldr Pid0) (queue _let_1)) (not (leq _let_1 (host Pid0)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (=> (elem (m_Halt Pid0) (queue _let_1)) (not (leq _let_1 (host Pid0)))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (=> (elem (m_Ack Pid0 Z) (queue (host Pid20))) (not (leq (host Z) (host Pid0))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (=> (and (= (host Z) (host Pid0)) (not (= Pid0 Z))) (or (not (setIn Pid0 alive)) (not (setIn Z alive))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Pid0))) (=> (and (= (index status _let_1) elec_1) (setIn Pid0 alive)) (not (elem (m_Ack Pid0 Z) (queue _let_1)))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (=> (and (= _let_1 (host Pid20)) (elem (m_Down Pid20) (queue (host Pid0))) (setIn Pid0 alive)) (not (and (= (index ldr _let_1) _let_1) (= norm (index status _let_1)) (setIn Z alive)))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (let ((_let_2 (host Pid0))) (=> (and (not (leq _let_1 _let_2)) (setIn Pid0 alive) (= elec_2 (index status _let_1)) (= elec_2 (index status _let_2)) (setIn Z alive)) (leq (index pendack _let_2) _let_1))))) (forall ((Z $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (let ((_let_2 (host Pid0))) (=> (and (not (leq (index pendack _let_2) _let_1)) (setIn Pid0 alive) (elem (m_Halt Pid0) (queue (host Pid20))) (= elec_2 (index status _let_2))) (not (and (= norm (index status _let_1)) (= (index ldr _let_1) _let_1) (setIn Z alive))))))) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Pid0))) (=> (and (= _let_1 nbr_proc) (= _let_1 (host Pid30)) (= (index status _let_1) elec_1) (elem (m_Down Pid20) (queue _let_1)) (forall ((V0 $$unsorted)) (let ((_let_1 (host Pid0))) (=> (and (not (leq _let_1 V0)) (leq (s zero) V0)) (or (setIn V0 (index down _let_1)) (= (host Pid20) V0)))))) (not (and (setIn Z alive) (elem (m_Down Pid30) (queue (host Z)))))))) (= (queue _let_1) (cons (m_Down Y) V)) (forall ((Z $$unsorted) (Pid30 $$unsorted) (Pid20 $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Z))) (let ((_let_2 (host Pid0))) (let ((_let_3 (index pendack _let_2))) (let ((_let_4 (s _let_3))) (let ((_let_5 (queue _let_2))) (=> (and (setIn Pid0 alive) (elem (m_Down Pid20) _let_5) (elem (m_Ack Pid0 Pid30) _let_5) (leq nbr_proc _let_4) (= (host Pid20) _let_4) (= (host Pid30) _let_3) (= elec_2 (index status _let_2))) (not (and (setIn Z alive) (= _let_1 (index ldr _let_1)) (= (index status _let_1) norm)))))))))) (forall ((Z $$unsorted) (Pid0 $$unsorted)) (let ((_let_1 (host Pid0))) (let ((_let_2 (host Z))) (=> (and (setIn Pid0 alive) (= (index status _let_2) elec_2) (= (index status _let_1) elec_2) (setIn Z alive) (not (leq _let_2 _let_1))) (not (leq (index pendack _let_2) (index pendack _let_1))))))) (forall ((Z 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(let ((_let_1 (host X))) (=> (and (not (leq _let_1 Z)) (leq (s zero) Z)) (or (setIn Z (index down _let_1)) (= Z (host Y)))))) (= _let_2 elec_1)) (=> (leq nbr_proc _let_1) (forall ((Z $$unsorted)) (=> (not (setIn (host Z) setEmpty)) (forall ((V0 $$unsorted)) (=> (= (host V0) (host X)) (forall ((W0 $$unsorted) (X0 $$unsorted) (Y0 $$unsorted)) (let ((_let_1 (host X))) (let ((_let_2 (host Y0))) (let ((_let_3 (index pendack _let_2))) (let ((_let_4 (s _let_3))) (let ((_let_5 (queue _let_2))) (=> (not (= _let_1 _let_2)) (=> (and (elem (m_Down X0) _let_5) (elem (m_Ack Y0 W0) _let_5) (= (index status _let_2) elec_2) (= (host W0) _let_3) (= (host X0) _let_4) (leq nbr_proc _let_4) (setIn Y0 alive)) (not (and (= (host V0) _let_1) (setIn V0 alive)))))))))))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (leq Y X) (leq X Y)) (= Y X))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Q $$unsorted)) (= (or (elem X Q) (= Y X)) (elem X (cons Y Q)))))) (let ((_let_4 (forall ((P $$unsorted)) (leq (host P) nbr_proc)))) (let ((_let_5 (host skv_9))) (let ((_let_6 (index pendack _let_5))) (let ((_let_7 (s _let_6))) (let ((_let_8 (host skv_8))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (host skv_4))) (let ((_let_11 (= _let_10 (host skv_6)))) (let ((_let_12 (= nbr_proc _let_10))) (let ((_let_13 (= nbr_proc _let_7))) (let ((_let_14 (= _let_10 _let_8))) (let ((_let_15 (not (setIn skv_6 alive)))) (let ((_let_16 (not _let_11))) (let ((_let_17 (setIn skv_9 alive))) (let ((_let_18 (not _let_17))) (let ((_let_19 (leq nbr_proc _let_7))) (let ((_let_20 (not _let_19))) (let ((_let_21 (not _let_9))) (let ((_let_22 (host skv_7))) (let ((_let_23 (not (= elec_2 (index status _let_5))))) (let ((_let_24 (queue _let_5))) (let ((_let_25 (not (elem (m_Ack skv_9 skv_7) _let_24)))) (let ((_let_26 (elem (m_Down skv_8) _let_24))) (let ((_let_27 (not _let_26))) (let ((_let_28 (= _let_10 _let_5))) (let ((_let_29 (leq nbr_proc _let_10))) (let ((_let_30 (not _let_29))) (let ((_let_31 (index status _let_10))) (let ((_let_32 (= elec_1 _let_31))) (let ((_let_33 (not _let_32))) (let ((_let_34 (forall ((Z $$unsorted)) (let ((_let_1 (host skv_4))) (or (leq _let_1 Z) (not (leq (s zero) Z)) (setIn Z (index down _let_1)) (= Z (host skv_5))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (host skv_5))) (let ((_let_37 (host (index elid _let_10)))) (let ((_let_38 (= wait _let_31))) (let ((_let_39 (index ldr _let_10))) (let ((_let_40 (= norm _let_31))) (let ((_let_41 (leq _let_10 _let_36))) (let ((_let_42 (not (setIn skv_4 alive)))) (let ((_let_43 (m_Down skv_5))) (let ((_let_44 (cons _let_43 skv_3))) (let ((_let_45 (queue _let_10))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_42 _let_41 (and _let_40 (= _let_39 _let_36)) (and _let_38 (= _let_37 _let_36)) _let_35 _let_33 _let_30 _let_28 _let_27 _let_25 _let_23 (not (= _let_22 _let_6)) _let_21 _let_20 _let_18 _let_16 _let_15))) (let ((_let_49 (forall ((V $$unsorted) (X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1895 $$unsorted) (BOUND_VARIABLE_1868 $$unsorted) (BOUND_VARIABLE_1866 $$unsorted) (BOUND_VARIABLE_1864 $$unsorted)) (let ((_let_1 (host X))) (let ((_let_2 (host BOUND_VARIABLE_1864))) (let ((_let_3 (index pendack _let_2))) (let ((_let_4 (s _let_3))) (let ((_let_5 (queue _let_2))) (let ((_let_6 (index status _let_1))) (let ((_let_7 (host Y))) (or (not (= (cons (m_Down Y) V) (queue _let_1))) (not (setIn X alive)) (leq _let_1 _let_7) (and (= norm _let_6) (= _let_7 (index ldr _let_1))) (and (= wait _let_6) (= _let_7 (host (index elid _let_1)))) (not (forall ((Z $$unsorted)) (let ((_let_1 (host X))) (or (leq _let_1 Z) (not (leq (s zero) Z)) (setIn Z (index down _let_1)) (= Z (host Y)))))) (not (= elec_1 _let_6)) (not (leq nbr_proc _let_1)) (= _let_1 _let_2) (not (elem (m_Down BOUND_VARIABLE_1866) _let_5)) (not (elem (m_Ack BOUND_VARIABLE_1864 BOUND_VARIABLE_1868) _let_5)) (not (= elec_2 (index status _let_2))) (not (= _let_3 (host BOUND_VARIABLE_1868))) (not (= _let_4 (host BOUND_VARIABLE_1866))) (not (leq nbr_proc _let_4)) (not (setIn BOUND_VARIABLE_1864 alive)) (not (= _let_1 (host BOUND_VARIABLE_1895))) (not (setIn BOUND_VARIABLE_1895 alive))))))))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (OR))) (let ((_let_53 (not _let_49))) (let ((_let_54 (_let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54) (REWRITE :args ((=> _let_53 (not (or (not (= _let_44 _let_45)) _let_42 _let_41 (and _let_40 (= _let_36 _let_39)) (and _let_38 (= _let_36 _let_37)) _let_35 _let_33 _let_30 _let_28 _let_27 _let_25 _let_23 (not (= _let_6 _let_22)) (not (= _let_7 _let_8)) _let_20 _let_18 _let_16 _let_15))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) (NOT_OR_ELIM _let_51 :args (16)) :args (_let_50 true _let_49)))) (let ((_let_56 (REFL :args (_let_48)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 13)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_9))) :args _let_52)) :args ((or _let_9 _let_48))) _let_55 :args (_let_9 true _let_48)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 16)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) :args _let_52)) :args ((or _let_11 _let_48))) _let_55 :args (_let_11 true _let_48)))) (let ((_let_59 (leq _let_10 nbr_proc))) (let ((_let_60 (and _let_29 _let_59))) (let ((_let_61 (= _let_60 _let_12))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted)) (= (and (leq Y X) (leq X Y)) (= X Y))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((leq Y X)))) (let ((_let_66 (_let_4))) (let 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theBenchmark 1.28/1.46 EOF