0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : do_cvc5 %s %d 0.14/0.34 % Computer : n024.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 05:20:22 EDT 2022 0.14/0.34 % CPUTime : 0.20/0.48 %----Proving TH0 9.43/9.61 ------- cvc5-thf casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 9.43/9.61 --- Run --ho-elim --full-saturate-quant at 10... 9.43/9.61 % SZS status Theorem for theBenchmark 9.43/9.61 % SZS output start Proof for theBenchmark 9.43/9.61 (let ((_let_1 (not (forall ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (Z (-> $$unsorted Bool))) (let ((_let_1 (@ excl_union X))) (= (@ (@ excl_union (@ _let_1 Y)) Z) (@ _let_1 (@ (@ excl_union Y) Z)))))))) (let ((_let_2 (= misses (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (not (exists ((U $$unsorted)) (and (@ X U) (@ Y U)))))))) (let ((_let_3 (= meets (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (exists ((U $$unsorted)) (and (@ X U) (@ Y U))))))) (let ((_let_4 (= subset (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (forall ((U $$unsorted)) (=> (@ X U) (@ Y U))))))) (let ((_let_5 (= disjoint (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (= (@ (@ intersection X) Y) emptyset))))) (let ((_let_6 (= complement (lambda ((X (-> $$unsorted Bool)) (U $$unsorted)) (not (@ X U)))))) (let ((_let_7 (= setminus (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (U $$unsorted)) (and (@ X U) (not (@ Y U))))))) (let ((_let_8 (= intersection (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (U $$unsorted)) (and (@ X U) (@ Y U)))))) (let ((_let_9 (= excl_union (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (U $$unsorted)) (let ((_let_1 (@ Y U))) (let ((_let_2 (@ X U))) (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))) (let ((_let_10 (= union (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (U $$unsorted)) (or (@ X U) (@ Y U)))))) (let ((_let_11 (= singleton (lambda ((X $$unsorted) (U $$unsorted)) (= U X))))) (let ((_let_12 (= unord_pair (lambda ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (= U X) (= U Y)))))) (let ((_let_13 (= emptyset (lambda ((X $$unsorted)) false)))) (let ((_let_14 (= is_a (lambda ((X $$unsorted) (M (-> $$unsorted Bool))) (@ M X))))) (let ((_let_15 (= in (lambda ((X $$unsorted) (M (-> $$unsorted Bool))) (@ M X))))) (let ((_let_16 (ho_3 skv_11 skv_375))) (let ((_let_17 (ho_3 skv_10 skv_375))) (let ((_let_18 (not _let_17))) (let ((_let_19 (ho_3 skv_9 skv_375))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (not _let_19))) (let ((_let_22 (or _let_21 _let_17))) (let ((_let_23 (and _let_22 _let_20 _let_16))) (let ((_let_24 (not _let_16))) (let ((_let_25 (and _let_21 _let_17))) (let ((_let_26 (and _let_19 _let_18))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (and _let_27 _let_24))) (let ((_let_29 (or _let_28 _let_23))) (let ((_let_30 (ho_7 (ho_6 (ho_5 k_4 skv_9) skv_10) skv_11))) (let ((_let_31 (ho_3 _let_30 skv_375))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (forall ((BOUND_VARIABLE_842 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_839 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_835 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_787 $$unsorted)) (let ((_let_1 (ho_3 BOUND_VARIABLE_835 BOUND_VARIABLE_787))) (let ((_let_2 (ho_3 BOUND_VARIABLE_839 BOUND_VARIABLE_787))) (let ((_let_3 (not _let_2))) (let ((_let_4 (ho_3 BOUND_VARIABLE_842 BOUND_VARIABLE_787))) (let ((_let_5 (not _let_4))) (= (or (and (or (and _let_4 _let_3) (and _let_5 _let_2)) (not _let_1)) (and (or _let_5 _let_2) (or _let_4 _let_3) _let_1)) (ho_3 (ho_7 (ho_6 (ho_5 k_4 BOUND_VARIABLE_842) BOUND_VARIABLE_839) BOUND_VARIABLE_835) BOUND_VARIABLE_787)))))))))) (let ((_let_34 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_35 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_36 (forall ((u |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_37 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_38 (forall ((u |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (e |u_(-> _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_39 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_40 (forall ((u |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (e |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_41 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ _u_(-> $$unsorted Bool)_ $$unsorted Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_42 (forall ((BOUND_VARIABLE_886 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_879 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_877 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_766 $$unsorted)) (let ((_let_1 (ho_3 BOUND_VARIABLE_877 BOUND_VARIABLE_766))) (let ((_let_2 (ho_3 BOUND_VARIABLE_879 BOUND_VARIABLE_766))) (let ((_let_3 (not _let_2))) (let ((_let_4 (not _let_1))) (let ((_let_5 (ho_3 BOUND_VARIABLE_886 BOUND_VARIABLE_766))) (= (or (and _let_5 (or _let_3 _let_1) (or _let_2 _let_4)) (and (not _let_5) (or (and _let_2 _let_4) (and _let_3 _let_1)))) (ho_3 (ho_7 (ho_6 (ho_5 k_8 BOUND_VARIABLE_886) BOUND_VARIABLE_879) BOUND_VARIABLE_877) BOUND_VARIABLE_766)))))))))) (let ((_let_43 (and (forall ((BOUND_VARIABLE_763 (-> $$unsorted Bool)) (BOUND_VARIABLE_764 (-> $$unsorted Bool)) (BOUND_VARIABLE_765 (-> $$unsorted Bool)) (BOUND_VARIABLE_766 $$unsorted)) (let ((_let_1 (@ BOUND_VARIABLE_765 BOUND_VARIABLE_766))) (let ((_let_2 (@ BOUND_VARIABLE_764 BOUND_VARIABLE_766))) (let ((_let_3 (not _let_2))) (let ((_let_4 (not _let_1))) (let ((_let_5 (@ BOUND_VARIABLE_763 BOUND_VARIABLE_766))) (= (ll_1 BOUND_VARIABLE_763 BOUND_VARIABLE_764 BOUND_VARIABLE_765 BOUND_VARIABLE_766) (or (and _let_5 (or _let_3 _let_1) (or _let_2 _let_4)) (and (not _let_5) (or (and _let_2 _let_4) (and _let_3 _let_1))))))))))) (forall ((BOUND_VARIABLE_784 (-> $$unsorted Bool)) (BOUND_VARIABLE_785 (-> $$unsorted Bool)) (BOUND_VARIABLE_786 (-> $$unsorted Bool)) (BOUND_VARIABLE_787 $$unsorted)) (let ((_let_1 (@ BOUND_VARIABLE_786 BOUND_VARIABLE_787))) (let ((_let_2 (@ BOUND_VARIABLE_785 BOUND_VARIABLE_787))) (let ((_let_3 (not _let_2))) (let ((_let_4 (@ BOUND_VARIABLE_784 BOUND_VARIABLE_787))) (let ((_let_5 (not _let_4))) (= (ll_2 BOUND_VARIABLE_784 BOUND_VARIABLE_785 BOUND_VARIABLE_786 BOUND_VARIABLE_787) (or (and (or (and _let_4 _let_3) (and _let_5 _let_2)) (not _let_1)) (and (or _let_5 _let_2) (or _let_4 _let_3) _let_1)))))))))))) (let ((_let_44 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (PREPROCESS_LEMMA :args (_let_43)) (PREPROCESS :args ((= _let_43 (and _let_42 _let_33))))) (PREPROCESS :args ((and _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34)))) :args ((and _let_42 _let_33 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34))))) (let ((_let_45 (AND_ELIM _let_44 :args (1)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (skv_9 skv_10 skv_11 skv_375 QUANTIFIERS_INST_E_MATCHING ((ho_3 (ho_7 (ho_6 (ho_5 k_4 BOUND_VARIABLE_842) BOUND_VARIABLE_839) BOUND_VARIABLE_835) BOUND_VARIABLE_787)))) :args (_let_33)))) _let_45 :args (_let_32 false _let_33)))) (let ((_let_47 (ho_7 (ho_6 (ho_5 k_8 skv_9) skv_10) skv_11))) (let ((_let_48 (ho_3 _let_47 skv_375))) (let ((_let_49 (= _let_48 _let_31))) (let ((_let_50 (forall ((z $$unsorted)) (= (ho_3 (ho_7 (ho_6 (ho_5 k_8 skv_9) skv_10) skv_11) z) (ho_3 (ho_7 (ho_6 (ho_5 k_4 skv_9) skv_10) skv_11) z))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (= _let_30 _let_47))) (let ((_let_53 (not _let_50))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (AND_ELIM _let_44 :args (8)))) (let ((_let_56 (forall ((BOUND_VARIABLE_915 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_914 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_913 |u_(-> $$unsorted Bool)|)) (= (ho_7 (ho_6 (ho_5 k_4 BOUND_VARIABLE_915) BOUND_VARIABLE_914) BOUND_VARIABLE_913) (ho_7 (ho_6 (ho_5 k_8 BOUND_VARIABLE_915) BOUND_VARIABLE_914) BOUND_VARIABLE_913))))) (let ((_let_57 (not _let_52))) (let ((_let_58 (not _let_56))) (let ((_let_59 (not (forall ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (Z (-> $$unsorted Bool))) (= (@ (@ (@ ll_1 X) Y) Z) (@ (@ (@ ll_2 X) Y) Z)))))) (let ((_let_60 (ASSUME :args (_let_15)))) (let ((_let_61 (ASSUME :args (_let_14)))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (ASSUME :args (_let_10)))) (let ((_let_66 (ASSUME :args (_let_9)))) (let ((_let_67 (ASSUME :args (_let_8)))) (let ((_let_68 (ASSUME :args (_let_7)))) (let ((_let_69 (ASSUME :args (_let_6)))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60) :args ((= disjoint (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (= emptyset (@ (@ intersection X) Y)))) SB_DEFAULT SBA_FIXPOINT))) _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60) :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (Z (-> $$unsorted Bool))) (= (lambda ((BOUND_VARIABLE_615 $$unsorted)) (let ((_let_1 (@ Z BOUND_VARIABLE_615))) (let ((_let_2 (@ Y BOUND_VARIABLE_615))) (let ((_let_3 (@ X BOUND_VARIABLE_615))) (let ((_let_4 (or (and _let_3 (not _let_2)) (and (not _let_3) _let_2)))) (or (and _let_4 (not _let_1)) (and (not _let_4) _let_1))))))) (lambda ((BOUND_VARIABLE_656 $$unsorted)) (let ((_let_1 (@ Z BOUND_VARIABLE_656))) (let ((_let_2 (@ Y BOUND_VARIABLE_656))) (let ((_let_3 (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))) (let ((_let_4 (@ X BOUND_VARIABLE_656))) (or (and _let_4 (not _let_3)) (and (not _let_4) _let_3)))))))))) _let_59))) (PREPROCESS :args ((= _let_59 _let_58))))))) (let ((_let_71 (OR))) (let ((_let_72 (_let_53))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_50))) (REFL :args (_let_51)) :args _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_52 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_70) :args (_let_58))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) (REFL :args (_let_57)) :args _let_71)) _let_70 :args (_let_57 true _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_47 _let_30 QUANTIFIERS_INST_ENUM)) :args (_let_35)))) _let_55 :args (_let_54 false _let_35)) :args (_let_53 true _let_52 false _let_54)) :args (_let_51 true _let_50)))) (let ((_let_74 (and _let_18 _let_16))) (let ((_let_75 (and _let_17 _let_24))) (let ((_let_76 (or _let_75 _let_74))) (let ((_let_77 (and _let_21 _let_76))) (let ((_let_78 (or _let_17 _let_24))) (let ((_let_79 (or _let_18 _let_16))) (let ((_let_80 (and _let_19 _let_79 _let_78))) (let ((_let_81 (or _let_80 _let_77))) (let ((_let_82 (= _let_48 _let_81))) (let ((_let_83 (not _let_48))) (let ((_let_84 (_let_49))) (let ((_let_85 (AND_ELIM _let_44 :args (0)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (skv_9 skv_10 skv_11 skv_375 QUANTIFIERS_INST_E_MATCHING ((ho_3 (ho_7 (ho_6 (ho_5 k_8 BOUND_VARIABLE_886) BOUND_VARIABLE_879) BOUND_VARIABLE_877) BOUND_VARIABLE_766)))) :args (_let_42)))) _let_85 :args (_let_82 false _let_42)))) (let ((_let_87 (not _let_82))) (let ((_let_88 (_let_82))) (let ((_let_89 (not _let_32))) (let ((_let_90 (not _let_29))) (let ((_let_91 (_let_32))) (let ((_let_92 (not _let_81))) (let ((_let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_19))))) (let ((_let_94 (_let_22))) (let ((_let_95 (not _let_80))) (let ((_let_96 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_80 _let_77 _let_92))))) (let ((_let_97 (not _let_77))) (let ((_let_98 (not _let_76))) (let ((_let_99 (not _let_22))) (let ((_let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))))) (let ((_let_101 (_let_20))) (let ((_let_102 (not _let_75))) (let ((_let_103 (not _let_20))) (let ((_let_104 (REORDERING (CNF_AND_NEG :args (_let_23)) :args ((or _let_24 _let_23 _let_99 _let_103))))) (let ((_let_105 (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_74 _let_98))))) (let ((_let_106 (not _let_74))) (let ((_let_107 (REFL :args (_let_18)))) (let ((_let_108 (_let_25))) (let ((_let_109 (not _let_27))) (let ((_let_110 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_16))))) (let ((_let_111 (_let_28))) (let ((_let_112 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_111) (CONG (REFL :args _let_111) (REFL :args (_let_109)) _let_110 :args _let_71)) :args ((or _let_16 _let_28 _let_109))))) (let ((_let_113 (not _let_79))) (let ((_let_114 (_let_79))) (let ((_let_115 (_let_26))) (let ((_let_116 (not _let_78))) (let ((_let_117 (_let_78))) (let ((_let_118 (MACRO_RESOLUTION_TRUST _let_112 (CNF_OR_NEG :args (_let_27 0)) (REORDERING (CNF_OR_POS :args _let_117) :args ((or _let_17 _let_24 _let_116))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_115) (CONG (REFL :args _let_115) (REFL :args (_let_21)) _let_100 :args _let_71)) :args ((or _let_17 _let_26 _let_21))) (MACRO_RESOLUTION_TRUST _let_104 (REORDERING (CNF_OR_POS :args _let_114) :args ((or _let_18 _let_16 _let_113))) (REORDERING (CNF_OR_NEG :args (_let_22 1)) :args ((or _let_18 _let_22))) :args ((or _let_18 _let_23 _let_103 _let_113) false _let_16 false _let_22)) (REORDERING (CNF_AND_POS :args (_let_80 2)) :args ((or _let_78 _let_95))) (REORDERING (CNF_AND_POS :args (_let_80 1)) :args ((or _let_79 _let_95))) _let_96 (REORDERING (CNF_AND_POS :args (_let_77 0)) :args ((or _let_21 _let_97))) (REORDERING (CNF_OR_NEG :args (_let_20 0)) :args ((or _let_21 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_24 _let_102))) _let_112 _let_105 (CNF_OR_NEG :args (_let_27 1)) (REORDERING (CNF_AND_POS :args (_let_74 0)) :args ((or _let_18 _let_106))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_108) (CONG (REFL :args _let_108) _let_93 _let_107 :args _let_71)) :args ((or _let_19 _let_18 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_16 _let_106))) _let_105 _let_104 (REORDERING (CNF_AND_POS :args (_let_75 0)) :args ((or _let_17 _let_102))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG (REFL :args _let_101) _let_100 :args _let_71)) :args ((or _let_17 _let_20))) :args ((or _let_17 _let_23 _let_99 _let_98) false _let_74 true _let_16 true _let_75 false _let_20)) (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_76 _let_97))) _let_96 (REORDERING (CNF_AND_POS :args (_let_80 0)) :args ((or _let_19 _let_95))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG (REFL :args _let_94) _let_93 :args _let_71)) :args ((or _let_19 _let_22))) :args ((or _let_19 _let_28 _let_23 _let_92) false _let_16 false _let_75 false _let_27 true _let_74 false _let_25 false _let_17 false _let_76 false _let_77 true _let_80 false _let_22)) (CNF_OR_NEG :args (_let_29 1)) (CNF_OR_NEG :args (_let_29 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_91) :args ((or _let_31 _let_90 _let_89))) _let_46 (REORDERING (CNF_EQUIV_POS1 :args _let_88) :args ((or _let_83 _let_81 _let_87))) _let_86 (CNF_EQUIV_NEG2 :args _let_84) _let_73 :args (_let_83 false _let_27 true _let_16 false _let_26 true _let_17 false _let_78 false _let_79 false _let_80 true _let_77 false _let_20 false _let_19 true _let_23 true _let_28 true _let_29 false _let_32 false _let_81 false _let_82 true _let_31 true _let_49)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_91) :args ((or (not _let_31) _let_29 _let_89))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_84) :args ((or _let_48 _let_31 _let_49))) _let_118 _let_73 :args (_let_31 true _let_48 true _let_49)) _let_46 :args (_let_29 false _let_31 false _let_32)))) (let ((_let_120 (not _let_23))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_88) :args ((or _let_48 _let_92 _let_87))) _let_118 _let_86 :args (_let_92 true _let_48 false _let_82)))) (let ((_let_122 (not _let_25))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_81 0)) _let_121 :args (_let_95 true _let_81)))) (let ((_let_124 (REORDERING (CNF_AND_NEG :args (_let_80)) :args ((or _let_21 _let_80 _let_113 _let_116))))) (let ((_let_125 (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_23 _let_90))))) (let ((_let_126 (not _let_28))) (let ((_let_127 (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_24 _let_126))))) (let ((_let_128 (not _let_26))) (let ((_let_129 (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_109))))) (let ((_let_130 (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 _let_126))))) (let ((_let_131 (REORDERING (CNF_AND_POS :args (_let_23 2)) :args ((or _let_16 _let_120))))) (let ((_let_132 (MACRO_RESOLUTION_TRUST _let_131 _let_125 _let_119 (REORDERING (CNF_OR_NEG :args (_let_79 1)) :args ((or _let_24 _let_79))) _let_130 _let_124 _let_123 _let_129 (REORDERING (CNF_OR_NEG :args (_let_78 0)) :args ((or _let_18 _let_78))) (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_18 _let_128))) (MACRO_RESOLUTION_TRUST _let_127 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 1)) (CONG (REFL :args _let_117) _let_110 :args _let_71)) :args ((or _let_16 _let_78))) _let_125 _let_119 _let_124 _let_123 (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_22 _let_120))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args _let_114) _let_100 :args _let_71)) :args ((or _let_17 _let_79))) (REORDERING (CNF_OR_POS :args _let_94) :args ((or _let_17 _let_21 _let_99))) :args ((or _let_17 _let_21) false _let_16 false _let_28 false _let_29 true _let_78 true _let_80 true _let_23 false _let_79 true _let_22)) (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_21 _let_122))) :args (_let_21 false _let_23 false _let_29 true _let_16 true _let_28 true _let_79 true _let_80 true _let_27 false _let_78 true _let_26 false _let_17 true _let_25)))) (let ((_let_133 (_let_77))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_133) (CONG (REFL :args _let_133) _let_93 (REFL :args (_let_98)) :args _let_71)) :args ((or _let_19 _let_77 _let_98))) _let_132 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_81 1)) _let_121 :args (_let_97 true _let_81)) :args (_let_98 true _let_19 true _let_77)))) (let ((_let_135 (_let_75))) (let ((_let_136 (MACRO_RESOLUTION_TRUST _let_125 _let_119 _let_127 (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_20 _let_120))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_135) (CONG (REFL :args _let_135) _let_107 _let_110 :args _let_71)) :args ((or _let_18 _let_16 _let_75))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 0)) _let_134 :args (_let_102 true _let_76)) (REORDERING (CNF_OR_POS :args _let_101) :args ((or _let_19 _let_18 _let_103))) _let_132 :args (_let_18 false _let_29 true _let_28 true _let_23 false _let_16 true _let_75 true _let_20 true _let_19)))) (let ((_let_137 (_let_74))) (SCOPE (MACRO_RESOLUTION_TRUST _let_125 (MACRO_RESOLUTION_TRUST _let_130 (MACRO_RESOLUTION_TRUST _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_19 _let_128))) _let_132 :args (_let_128 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 1)) :args ((or _let_17 _let_122))) _let_136 :args (_let_122 true _let_17)) :args (_let_109 true _let_26 true _let_25)) :args (_let_126 true _let_27)) (MACRO_RESOLUTION_TRUST _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_137) (CONG (REFL :args _let_137) _let_100 (REFL :args (_let_24)) :args _let_71)) :args ((or _let_17 _let_24 _let_74))) _let_136 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 1)) _let_134 :args (_let_106 true _let_76)) :args (_let_24 true _let_17 true _let_74)) :args (_let_120 true _let_16)) _let_119 :args (false true _let_28 true _let_23 false _let_29)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.43/9.61 % SZS output end Proof for theBenchmark 9.43/9.61 EOF