0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : do_cvc5 %s %d
0.13/0.34	% Computer : n011.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Aug  9 02:13:06 EDT 2022
0.13/0.34	% CPUTime    : 
0.20/0.47	%----Proving TH0
0.20/0.52	------- cvc5-thf casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p...
0.20/0.52	--- Run --ho-elim --full-saturate-quant at 10...
0.20/0.52	% SZS status Theorem for theBenchmark
0.20/0.52	% SZS output start Proof for theBenchmark
0.20/0.52	(let ((_let_1 (forall ((W mworld)) (@ (@ mrel W) W)))) (let ((_let_2 (not (@ mlocal (@ mbox (@ mforall_di (lambda ((X $$unsorted) (__flatten_var_0 mworld)) (@ (@ mexists_di (lambda ((D $$unsorted) (__flatten_var_0 mworld)) (@ (@ (@ mimplies (@ (@ mand (@ bomb X)) (@ h D))) (@ defused X)) __flatten_var_0))) __flatten_var_0)))))))) (let ((_let_3 (@ mlocal (@ mbox (@ mforall_di (lambda ((X $$unsorted) (__flatten_var_0 mworld)) (@ (@ mexists_di (lambda ((D $$unsorted) (__flatten_var_0 mworld)) (@ (@ mbox (@ (@ mimplies (@ (@ mand (@ bomb X)) (@ h D))) (@ defused X))) __flatten_var_0))) __flatten_var_0))))))) (let ((_let_4 (= mexists_di (lambda ((A (-> $$unsorted mworld Bool)) (W mworld)) (exists ((X $$unsorted)) (@ (@ A X) W)))))) (let ((_let_5 (= mforall_di (lambda ((A (-> $$unsorted mworld Bool)) (W mworld)) (forall ((X $$unsorted)) (@ (@ A X) W)))))) (let ((_let_6 (= mdia (lambda ((Phi (-> mworld Bool)) (W mworld)) (exists ((V mworld)) (and (@ (@ mrel W) V) (@ Phi V))))))) (let ((_let_7 (= mbox (lambda ((Phi (-> mworld Bool)) (W mworld)) (forall ((V mworld)) (=> (@ (@ mrel W) V) (@ Phi V))))))) (let ((_let_8 (= mequiv (lambda ((A (-> mworld Bool)) (B (-> mworld Bool)) (W mworld)) (= (@ A W) (@ B W)))))) (let ((_let_9 (= mimplies (lambda ((A (-> mworld Bool)) (B (-> mworld Bool)) (W mworld)) (=> (@ A W) (@ B W)))))) (let ((_let_10 (= mor (lambda ((A (-> mworld Bool)) (B (-> mworld Bool)) (W mworld)) (or (@ A W) (@ B W)))))) (let ((_let_11 (= mand (lambda ((A (-> mworld Bool)) (B (-> mworld Bool)) (W mworld)) (and (@ A W) (@ B W)))))) (let ((_let_12 (= mnot (lambda ((A (-> mworld Bool)) (W mworld)) (not (@ A W)))))) (let ((_let_13 (= mlocal (lambda ((Phi (-> mworld Bool))) (@ Phi mactual))))) (let ((_let_14 (forall ((BOUND_VARIABLE_1427 $$unsorted)) (ho_3 (ho_2 k_7 BOUND_VARIABLE_1427) skv_8)))) (let ((_let_15 (ho_3 (ho_2 k_7 skv_16) skv_8))) (let ((_let_16 (ho_3 (ho_2 k_6 skv_9) skv_8))) (let ((_let_17 (ho_3 (ho_2 k_1 skv_9) skv_8))) (let ((_let_18 (not _let_17))) (let ((_let_19 (not _let_14))) (let ((_let_20 (ho_5 k_4 mactual))) (let ((_let_21 (ho_3 _let_20 skv_8))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_19 _let_18 _let_16))) (let ((_let_24 (forall ((BOUND_VARIABLE_1420 mworld) (BOUND_VARIABLE_1421 $$unsorted)) (or (not (ho_3 (ho_5 k_4 mactual) BOUND_VARIABLE_1420)) (not (forall ((BOUND_VARIABLE_1427 $$unsorted)) (ho_3 (ho_2 k_7 BOUND_VARIABLE_1427) BOUND_VARIABLE_1420))) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_1421) BOUND_VARIABLE_1420)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_1421) BOUND_VARIABLE_1420))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_5)) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_8)) (ASSUME :args (_let_9)) (ASSUME :args (_let_10)) (ASSUME :args (_let_11)) (ASSUME :args (_let_12)) (ASSUME :args (_let_13))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO _let_27 :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((BOUND_VARIABLE_1420 mworld) (BOUND_VARIABLE_1421 $$unsorted)) (or (not (@ (@ mrel mactual) BOUND_VARIABLE_1420)) (not (forall ((BOUND_VARIABLE_1427 $$unsorted)) (@ (@ h BOUND_VARIABLE_1427) BOUND_VARIABLE_1420))) (not (@ (@ bomb BOUND_VARIABLE_1421) BOUND_VARIABLE_1420)) (@ (@ defused BOUND_VARIABLE_1421) BOUND_VARIABLE_1420)))) _let_26))))))) (let ((_let_29 (OR))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_28) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_29)) _let_28 :args (_let_25 true _let_24)))) (let ((_let_31 (REFL :args (_let_23)))) (let ((_let_32 (not _let_15))) (let ((_let_33 (or _let_22 _let_18 _let_32 _let_16))) (let ((_let_34 (forall ((BOUND_VARIABLE_888 mworld)) (or (not (ho_3 (ho_5 k_4 mactual) BOUND_VARIABLE_888)) (not (ho_3 (ho_2 k_1 skv_9) BOUND_VARIABLE_888)) (not (ho_3 (ho_2 k_7 skv_16) BOUND_VARIABLE_888)) (ho_3 (ho_2 k_6 skv_9) BOUND_VARIABLE_888))))) (let ((_let_35 (forall ((BOUND_VARIABLE_887 $$unsorted)) (not (forall ((BOUND_VARIABLE_888 mworld)) (or (not (ho_3 (ho_5 k_4 mactual) BOUND_VARIABLE_888)) (not (ho_3 (ho_2 k_1 skv_9) BOUND_VARIABLE_888)) (not (ho_3 (ho_2 k_7 BOUND_VARIABLE_887) BOUND_VARIABLE_888)) (ho_3 (ho_2 k_6 skv_9) BOUND_VARIABLE_888))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (ho_3 _let_20 mactual))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (forall ((BOUND_VARIABLE_885 mworld) (BOUND_VARIABLE_886 $$unsorted)) (or (not (ho_3 (ho_5 k_4 mactual) BOUND_VARIABLE_885)) (not (forall ((BOUND_VARIABLE_887 $$unsorted)) (not (forall ((BOUND_VARIABLE_888 mworld)) (or (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_885) BOUND_VARIABLE_888)) (not (ho_3 (ho_2 k_1 BOUND_VARIABLE_886) BOUND_VARIABLE_888)) (not (ho_3 (ho_2 k_7 BOUND_VARIABLE_887) BOUND_VARIABLE_888)) (ho_3 (ho_2 k_6 BOUND_VARIABLE_886) BOUND_VARIABLE_888)))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO _let_27 :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((BOUND_VARIABLE_885 mworld) (BOUND_VARIABLE_886 $$unsorted)) (or (not (@ (@ mrel mactual) BOUND_VARIABLE_885)) (not (forall ((BOUND_VARIABLE_887 $$unsorted)) (not (forall ((BOUND_VARIABLE_888 mworld)) (or (not (@ (@ mrel BOUND_VARIABLE_885) BOUND_VARIABLE_888)) (not (@ (@ bomb BOUND_VARIABLE_886) BOUND_VARIABLE_888)) (not (@ (@ h BOUND_VARIABLE_887) BOUND_VARIABLE_888)) (@ (@ defused BOUND_VARIABLE_886) BOUND_VARIABLE_888)))))))) _let_40))))))) (let ((_let_42 (forall ((W mworld)) (ho_3 (ho_5 k_4 W) W)))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 _let_42)))))) (let ((_let_44 (_let_34))) (let ((_let_45 (_let_36))) (let ((_let_46 (_let_14))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (skv_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_22 _let_18 _let_16 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_29)) :args ((or _let_21 _let_23))) _let_30 :args (_let_21 true _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_29)) :args ((or _let_17 _let_23))) _let_30 :args (_let_17 true _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 3)) _let_30 :args ((not _let_16) true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (skv_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_3 _let_20 BOUND_VARIABLE_888) false))))) :args _let_44)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45) (REWRITE :args ((=> _let_36 (not (not _let_34))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) (REFL :args _let_44) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (mactual QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_5 k_4 W)))) :args (_let_42))) _let_43 :args (_let_37 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (mactual skv_9 QUANTIFIERS_INST_ENUM)) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_36 false _let_37 false _let_39)) :args (_let_34 true _let_35)) :args (_let_33 false _let_34)) :args (_let_32 false _let_21 false _let_17 true _let_16 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) :args _let_29)) :args ((or _let_14 _let_23))) _let_30 :args (_let_14 true _let_23)) :args (false true _let_15 false _let_14)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (@ mlocal (@ mbox (@ mexists_di (lambda ((B $$unsorted) (__flatten_var_0 mworld)) (@ (@ bomb B) __flatten_var_0))))) _let_3 _let_2 (@ mlocal (@ mexists_di (lambda ((A $$unsorted) (__flatten_var_0 mworld)) (@ (@ mbox (@ mforall_di (lambda ((X $$unsorted) (__flatten_var_0 mworld)) (let ((_let_1 (@ bomb X))) (@ (@ (@ mimplies (@ (@ mand _let_1) (@ h A))) (@ mbox _let_1)) __flatten_var_0))))) __flatten_var_0)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))
0.20/0.53	% SZS output end Proof for theBenchmark
0.20/0.53	EOF