0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : do_cvc5 %s %d 0.10/0.31 % Computer : n013.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 04:12:30 EDT 2022 0.10/0.31 % CPUTime : 0.15/0.42 %----Proving TH0 3.71/3.91 ------- cvc5-thf casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 3.71/3.91 --- Run --ho-elim --full-saturate-quant at 10... 3.71/3.91 % SZS status Theorem for theBenchmark 3.71/3.91 % SZS output start Proof for theBenchmark 3.71/3.91 (let ((_let_1 (not (forall ((A (-> individuals $$unsorted Bool))) (@ cs4_valid (@ (@ cs4_impl (@ cs4_box (@ cs4_all (lambda ((I individuals) (__flatten_var_0 $$unsorted)) (@ (@ cs4_atom (@ A I)) __flatten_var_0))))) (@ cs4_all (lambda ((I individuals) (__flatten_var_0 $$unsorted)) (@ (@ cs4_box (@ cs4_atom (@ A I))) __flatten_var_0))))))))) (let ((_let_2 (forall ((A (-> $$unsorted Bool))) (@ mvalid (@ (@ mimpl (@ (@ mbox reli) A)) A))))) (let ((_let_3 (forall ((A (-> $$unsorted Bool))) (let ((_let_1 (@ mbox reli))) (let ((_let_2 (@ _let_1 A))) (@ mvalid (@ (@ mimpl _let_2) (@ _let_1 _let_2)))))))) (let ((_let_4 (= cs4_valid (lambda ((A (-> $$unsorted Bool))) (@ mvalid A))))) (let ((_let_5 (= cs4_box (lambda ((A (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mbox reli) (@ (@ mbox relr) A)) __flatten_var_0))))) (let ((_let_6 (= cs4_all (lambda ((A (-> individuals $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mbox reli) (@ mall A)) __flatten_var_0))))) (let ((_let_7 (= cs4_false mfalse))) (let ((_let_8 (= cs4_true mtrue))) (let ((_let_9 (= cs4_impl (lambda ((A (-> $$unsorted Bool)) (B (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mbox reli) (@ (@ mimpl A) B)) __flatten_var_0))))) (let ((_let_10 (= cs4_or (lambda ((A (-> $$unsorted Bool)) (B (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mor A) B) __flatten_var_0))))) (let ((_let_11 (= cs4_and (lambda ((A (-> $$unsorted Bool)) (B (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mand A) B) __flatten_var_0))))) (let ((_let_12 (= cs4_atom (lambda ((P (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mbox reli) P) __flatten_var_0))))) (let ((_let_13 (= minvalid (lambda ((P (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ P W))))))) (let ((_let_14 (= mcountersatisfiable (lambda ((P (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ P W))))))) (let ((_let_15 (= msatisfiable (lambda ((P (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ P W)))))) (let ((_let_16 (= mvalid (lambda ((P (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ P W)))))) (let ((_let_17 (= mexists (lambda ((P (-> individuals $$unsorted Bool)) (W $$unsorted)) (exists ((X individuals)) (@ (@ P X) W)))))) (let ((_let_18 (= mall (lambda ((P (-> individuals $$unsorted Bool)) (W $$unsorted)) (forall ((X individuals)) (@ (@ P X) W)))))) (let ((_let_19 (= mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (P (-> $$unsorted Bool)) (X $$unsorted)) (exists ((Y $$unsorted)) (and (@ (@ R X) Y) (@ P Y))))))) (let ((_let_20 (= mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (P (-> $$unsorted Bool)) (X $$unsorted)) (forall ((Y $$unsorted)) (=> (@ (@ R X) Y) (@ P Y))))))) (let ((_let_21 (= miff (lambda ((U (-> $$unsorted Bool)) (V (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mand (@ (@ mimpl U) V)) (@ (@ mimpl V) U)) __flatten_var_0))))) (let ((_let_22 (= mimpl (lambda ((U (-> $$unsorted Bool)) (V (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ mor (@ mnot U)) V) __flatten_var_0))))) (let ((_let_23 (= mand (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (U $$unsorted)) (and (@ X U) (@ Y U)))))) (let ((_let_24 (= mor (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (U $$unsorted)) (or (@ X U) (@ Y U)))))) (let ((_let_25 (= mnot (lambda ((X (-> $$unsorted Bool)) (U $$unsorted)) (not (@ X U)))))) (let ((_let_26 (= mtrue (lambda ((X $$unsorted)) true)))) (let ((_let_27 (= mfalse (lambda ((X $$unsorted)) false)))) (let ((_let_28 (forall ((BOUND_VARIABLE_2233 $$unsorted) (BOUND_VARIABLE_2234 $$unsorted) (BOUND_VARIABLE_2235 $$unsorted) (BOUND_VARIABLE_2236 individuals) (BOUND_VARIABLE_2237 $$unsorted)) (or (not (ho_1 (ho_3 k_4 skv_8) BOUND_VARIABLE_2233)) (not (ho_1 (ho_3 k_2 BOUND_VARIABLE_2233) BOUND_VARIABLE_2234)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2234) BOUND_VARIABLE_2237)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2237) BOUND_VARIABLE_2235)) (ho_1 (ho_5 skv_6 BOUND_VARIABLE_2236) BOUND_VARIABLE_2235))))) (let ((_let_29 (ho_1 (ho_5 skv_6 skv_12) skv_11))) (let ((_let_30 (ho_3 k_4 skv_11))) (let ((_let_31 (ho_1 _let_30 skv_11))) (let ((_let_32 (not _let_31))) (let ((_let_33 (ho_1 (ho_3 k_4 skv_10) skv_11))) (let ((_let_34 (not _let_33))) (let ((_let_35 (ho_1 (ho_3 k_2 skv_9) skv_10))) (let ((_let_36 (not _let_35))) (let ((_let_37 (ho_3 k_4 skv_8))) (let ((_let_38 (ho_1 _let_37 skv_9))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_36 _let_34 _let_32 _let_29))) (let ((_let_41 (ho_1 (ho_3 k_4 skv_13) skv_9))) (let ((_let_42 (not _let_41))) (let ((_let_43 (ho_1 _let_37 skv_13))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_28))) (let ((_let_46 (or (not (ho_1 (ho_3 k_4 skv_7) skv_8)) _let_45 _let_44 _let_42 _let_36 _let_34 _let_29))) (let ((_let_47 (forall ((BOUND_VARIABLE_2417 |u_(-> individuals $$unsorted Bool)|) (BOUND_VARIABLE_2209 $$unsorted) (BOUND_VARIABLE_2213 $$unsorted) (BOUND_VARIABLE_2214 $$unsorted) (BOUND_VARIABLE_2215 $$unsorted) (BOUND_VARIABLE_2216 $$unsorted) (BOUND_VARIABLE_2217 individuals) (BOUND_VARIABLE_2218 $$unsorted)) (or (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2209) BOUND_VARIABLE_2213)) (not (forall ((BOUND_VARIABLE_2233 $$unsorted) (BOUND_VARIABLE_2234 $$unsorted) (BOUND_VARIABLE_2235 $$unsorted) (BOUND_VARIABLE_2236 individuals) (BOUND_VARIABLE_2237 $$unsorted)) (or (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2213) BOUND_VARIABLE_2233)) (not (ho_1 (ho_3 k_2 BOUND_VARIABLE_2233) BOUND_VARIABLE_2234)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2234) BOUND_VARIABLE_2237)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2237) BOUND_VARIABLE_2235)) (ho_1 (ho_5 BOUND_VARIABLE_2417 BOUND_VARIABLE_2236) BOUND_VARIABLE_2235)))) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2213) BOUND_VARIABLE_2218)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2218) BOUND_VARIABLE_2214)) (not (ho_1 (ho_3 k_2 BOUND_VARIABLE_2214) BOUND_VARIABLE_2215)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_2215) BOUND_VARIABLE_2216)) (ho_1 (ho_5 BOUND_VARIABLE_2417 BOUND_VARIABLE_2217) BOUND_VARIABLE_2216))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (ASSUME :args (_let_25)))) (let ((_let_53 (ASSUME :args (_let_24)))) (let ((_let_54 (ASSUME :args (_let_23)))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (ASSUME :args (_let_18)))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (ASSUME :args (_let_16)))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (ASSUME :args (_let_13)))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (EQ_RESOLVE (SYMM (ASSUME :args (_let_8))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args ((= mtrue cs4_true) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (EQ_RESOLVE (SYMM (ASSUME :args (_let_7))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args ((= mfalse cs4_false) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50) :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO _let_73 :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((A (-> individuals $$unsorted Bool)) (BOUND_VARIABLE_2209 $$unsorted) (BOUND_VARIABLE_2213 $$unsorted) (BOUND_VARIABLE_2214 $$unsorted) (BOUND_VARIABLE_2215 $$unsorted) (BOUND_VARIABLE_2216 $$unsorted) (BOUND_VARIABLE_2217 individuals) (BOUND_VARIABLE_2218 $$unsorted)) (or (not (@ (@ reli BOUND_VARIABLE_2209) BOUND_VARIABLE_2213)) (not (forall ((BOUND_VARIABLE_2233 $$unsorted) (BOUND_VARIABLE_2234 $$unsorted) (BOUND_VARIABLE_2235 $$unsorted) (BOUND_VARIABLE_2236 individuals) (BOUND_VARIABLE_2237 $$unsorted)) (or (not (@ (@ reli BOUND_VARIABLE_2213) BOUND_VARIABLE_2233)) (not (@ (@ relr BOUND_VARIABLE_2233) BOUND_VARIABLE_2234)) (not (@ (@ reli BOUND_VARIABLE_2234) BOUND_VARIABLE_2237)) (not (@ (@ reli BOUND_VARIABLE_2237) BOUND_VARIABLE_2235)) (@ (@ A BOUND_VARIABLE_2236) BOUND_VARIABLE_2235)))) (not (@ (@ reli BOUND_VARIABLE_2213) BOUND_VARIABLE_2218)) (not (@ (@ reli BOUND_VARIABLE_2218) BOUND_VARIABLE_2214)) (not (@ (@ relr BOUND_VARIABLE_2214) BOUND_VARIABLE_2215)) (not (@ (@ reli BOUND_VARIABLE_2215) BOUND_VARIABLE_2216)) (@ (@ A BOUND_VARIABLE_2217) BOUND_VARIABLE_2216)))) _let_49))))))) (let ((_let_75 (OR))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_74) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_47))) (REFL :args (_let_48)) :args _let_75)) _let_74 :args (_let_48 true _let_47)))) (let ((_let_77 (REFL :args (_let_46)))) (let ((_let_78 (not _let_40))) (let ((_let_79 (forall ((BOUND_VARIABLE_2385 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1627 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1632 $$unsorted)) (or (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_1627) BOUND_VARIABLE_1632)) (ho_1 BOUND_VARIABLE_2385 BOUND_VARIABLE_1632)))) (ho_1 BOUND_VARIABLE_2385 BOUND_VARIABLE_1627))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO _let_73 :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A (-> $$unsorted Bool)) (BOUND_VARIABLE_1627 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1632 $$unsorted)) (or (not (@ (@ reli BOUND_VARIABLE_1627) BOUND_VARIABLE_1632)) (@ A BOUND_VARIABLE_1632)))) (@ A BOUND_VARIABLE_1627))) _let_79))))))) (let ((_let_81 (or _let_44 _let_42 _let_38))) (let ((_let_82 (forall ((BOUND_VARIABLE_2367 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_1526 $$unsorted) (BOUND_VARIABLE_1555 $$unsorted) (BOUND_VARIABLE_1553 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1542 $$unsorted)) (or (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_1526) BOUND_VARIABLE_1542)) (ho_1 BOUND_VARIABLE_2367 BOUND_VARIABLE_1542)))) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_1526) BOUND_VARIABLE_1553)) (not (ho_1 (ho_3 k_4 BOUND_VARIABLE_1553) BOUND_VARIABLE_1555)) (ho_1 BOUND_VARIABLE_2367 BOUND_VARIABLE_1555))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO _let_73 :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A (-> $$unsorted Bool)) (BOUND_VARIABLE_1526 $$unsorted) (BOUND_VARIABLE_1555 $$unsorted) (BOUND_VARIABLE_1553 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1542 $$unsorted)) (or (not (@ (@ reli BOUND_VARIABLE_1526) BOUND_VARIABLE_1542)) (@ A BOUND_VARIABLE_1542)))) (not (@ (@ reli BOUND_VARIABLE_1526) BOUND_VARIABLE_1553)) (not (@ (@ reli BOUND_VARIABLE_1553) BOUND_VARIABLE_1555)) (@ A BOUND_VARIABLE_1555))) _let_82))))))) (let ((_let_84 (_let_28))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_84) :args (skv_9 skv_10 skv_11 skv_12 skv_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_36 _let_34 _let_29 _let_39 _let_32 _let_78))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 4)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_75)) :args ((or _let_35 _let_46))) _let_76 :args (_let_35 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 5)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_75)) :args ((or _let_33 _let_46))) _let_76 :args (_let_33 true _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 6)) _let_76 :args ((not _let_29) true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_44 _let_42 _let_38 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 2)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_75)) :args ((or _let_43 _let_46))) _let_76 :args (_let_43 true _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 3)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_75)) :args ((or _let_41 _let_46))) _let_76 :args (_let_41 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_37 skv_8 skv_9 skv_13 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_1 BOUND_VARIABLE_2367 BOUND_VARIABLE_1555) true)) (ho_3 k_4 BOUND_VARIABLE_1553) (ho_3 k_4 BOUND_VARIABLE_1526)))) :args (_let_82)))) _let_83 :args (_let_81 false _let_82)) :args (_let_38 false _let_43 false _let_41 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_30 skv_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_1 BOUND_VARIABLE_2385 BOUND_VARIABLE_1627) true))))) :args (_let_79)))) _let_80 :args (_let_31 false _let_79)) :args (_let_78 false _let_35 false _let_33 true _let_29 false _let_38 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_28))) :args _let_75)) :args ((or _let_28 _let_46))) _let_76 :args (_let_28 true _let_46)) :args (false true _let_40 false _let_28)) :args (_let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((A (-> $$unsorted Bool))) (@ mvalid (@ (@ mimpl (@ (@ mbox relr) A)) A))) (forall ((A (-> $$unsorted Bool))) (let ((_let_1 (@ mbox reli))) (let ((_let_2 (@ mbox relr))) (@ mvalid (@ (@ mimpl (@ _let_1 (@ _let_2 A))) (@ _let_2 (@ _let_1 A))))))) _let_3 _let_2 (forall ((A (-> $$unsorted Bool))) (let ((_let_1 (@ mbox relr))) (let ((_let_2 (@ _let_1 A))) (@ mvalid (@ (@ mimpl _let_2) (@ _let_1 _let_2)))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3.71/3.92 % SZS output end Proof for theBenchmark 3.71/3.92 EOF