0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : do_cvc5 %s %d 0.12/0.33 % Computer : n018.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 04:41:30 EDT 2022 0.12/0.33 % CPUTime : 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF 0.52/0.72 ------- cvc5-fof casc J11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p... 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 0.52/0.72 % SZS status Theorem for theBenchmark 0.52/0.72 % SZS output start Proof for theBenchmark 0.52/0.72 (let ((_let_1 (rpoint vd1089))) (let ((_let_2 (vf vd1089 vd1080))) (let ((_let_3 (= vd1086 vd1085))) (let ((_let_4 (exists ((Vd1083 $$unsorted)) (and (= Vd1083 vd1080) (rpoint Vd1083))))) (let ((_let_5 (not (forall ((Vdthex $$unsorted)) (=> (and (rline Vdthex) (ron vd1080 Vdthex) (ron vd1089 Vdthex)) (= vd1092 Vdthex)))))) (let ((_let_6 (ron vd1089 vd1092))) (let ((_let_7 (ron vd1080 vd1092))) (let ((_let_8 (rline vd1092))) (let ((_let_9 (and _let_8 _let_7 _let_6))) (let ((_let_10 (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (=> (and (exists ((Vd752 $$unsorted)) (and (= Vd752 Vd749) (rpoint Vd752))) (exists ((Vd751 $$unsorted)) (and (rpoint Vd751) (= Vd748 Vd751)))) (= (= Vd749 Vd748) (= v0 (vf Vd748 Vd749))))))) (let ((_let_11 (vf vd1089 vd1085))) (let ((_let_12 (= _let_11 _let_2))) (let ((_let_13 (not (= vd1080 vd1085)))) (let ((_let_14 (rpoint vd1086))) (let ((_let_15 (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (=> (and (ron Vd315 Vd320) (ron Vd315 Vd319) (exists ((Vd323 $$unsorted)) (and (= Vd319 Vd323) (rline Vd323))) (not (= Vd315 Vd314)) (exists ((Vd318 $$unsorted)) (and (= Vd315 Vd318) (rpoint Vd318))) (exists ((Vd317 $$unsorted)) (and (rpoint Vd317) (= Vd317 Vd314))) (exists ((Vd324 $$unsorted)) (and (= Vd320 Vd324) (rline Vd324))) (ron Vd314 Vd319) (ron Vd314 Vd320)) (= Vd319 Vd320))))) (let ((_let_16 (= vd1085 vd1089))) (let ((_let_17 (= v0 _let_11))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (not _let_1))) (let ((_let_20 (rpoint vd1085))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18))) (let ((_let_23 (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (or (not (rpoint Vd749)) (not (rpoint Vd748)) (= (= v0 (vf Vd748 Vd749)) (= Vd748 Vd749)))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((vf Vd748 Vd749)))) (let ((_let_27 (= vd1085 vd1086))) (let ((_let_28 (SYMM (ASSUME :args (_let_3))))) (let ((_let_29 (ASSUME :args (_let_14)))) (let ((_let_30 (and _let_14 _let_27))) (let ((_let_31 (_let_14 _let_27))) (let ((_let_32 (ASSUME :args (_let_1)))) (let ((_let_33 (= vd1080 vd1089))) (let ((_let_34 (= vd1085 vd1080))) (let ((_let_35 (not _let_16))) (let ((_let_36 (= vd1092 skv_2))) (let ((_let_37 (ron vd1080 skv_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_7))) (let ((_let_40 (rline skv_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (rpoint vd1080))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_8))) (let ((_let_45 (not _let_6))) (let ((_let_46 (ron vd1089 skv_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_44 _let_33 _let_19 _let_43 _let_41 _let_39 _let_38 _let_36))) (let ((_let_49 (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (or (not (ron Vd315 Vd320)) (not (ron Vd315 Vd319)) (not (rline Vd319)) (= Vd314 Vd315) (not (rpoint Vd315)) (not (rpoint Vd314)) (not (rline Vd320)) (not (ron Vd314 Vd319)) (not (ron Vd314 Vd320)) (= Vd319 Vd320))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or _let_41 _let_38 _let_47 _let_36))) (let ((_let_52 (forall ((Vdthex $$unsorted)) (or (not (rline Vdthex)) (not (ron vd1080 Vdthex)) (not (ron vd1089 Vdthex)) (= vd1092 Vdthex))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (OR))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (ASSUME :args (_let_9)))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_43 _let_44 _let_39 _let_45 _let_19 _let_41 _let_38 _let_47 _let_36 _let_33 (not _let_48)))) _let_60 (AND_ELIM _let_59 :args (0)) (AND_ELIM _let_59 :args (1)) (AND_ELIM _let_59 :args (2)) _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_55)) :args ((or _let_40 _let_51))) _let_57 :args (_let_40 true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_55)) :args ((or _let_37 _let_51))) _let_57 :args (_let_37 true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_55)) :args ((or _let_46 _let_51))) _let_57 :args (_let_46 true _let_51)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 3)) _let_57 :args ((not _let_36) true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (vd1080 vd1089 vd1092 skv_2 QUANTIFIERS_INST_E_MATCHING ((not (= (ron Vd315 Vd320) false)) (not (= (ron Vd315 Vd319) false)) (not (= (rpoint Vd314) false))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_33 false _let_42 false _let_8 false _let_7 false _let_6 false _let_1 false _let_40 false _let_37 false _let_46 true _let_36 false _let_48)))) (let ((_let_62 (SYMM (ASSUME :args (_let_13))))) (let ((_let_63 (not _let_33))) (let ((_let_64 (not _let_34))) (let ((_let_65 (and _let_64 _let_33))) (let ((_let_66 (ASSUME :args (_let_33)))) (let ((_let_67 (= v0 _let_2))) (let ((_let_68 (= _let_2 _let_11))) (let ((_let_69 (= _let_33 _let_67))) (let ((_let_70 (or _let_43 _let_19 _let_69))) (let ((_let_71 (SYMM (ASSUME :args (_let_12))))) (let ((_let_72 (and _let_68 _let_67))) (let ((_let_73 (_let_68 _let_67))) (let ((_let_74 (ASSUME :args (_let_67)))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or _let_16 (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_74) (SCOPE (TRANS (SYMM (SYMM _let_74)) (SYMM (SYMM _let_71))) :args _let_73)) :args _let_73)) :args (true _let_72)) :args ((or (not _let_68) _let_17 (not _let_67)))) _let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_67 _let_63 (not _let_69)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_43 _let_19 _let_69 (not _let_70)))) _let_60 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (vd1089 vd1080 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25))) _let_24 :args (_let_70 false _let_23)) :args (_let_69 false _let_42 false _let_1 false _let_70)) :args (_let_67 false _let_33 false _let_69)) :args (_let_17 false _let_68 false _let_67)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_65)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_66 _let_62) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (vd1085)) (SYMM _let_66) :args (EQUAL)) (FALSE_INTRO _let_62))) :args (_let_33 _let_64))) :args (_let_64 _let_33))) :args (true _let_65)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_34))) (REFL :args (_let_63)) (REFL :args (_let_35)) :args _let_55)) _let_62 _let_61 :args (_let_35 true _let_34 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_19 _let_21 _let_18 (not _let_22)))) _let_32 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_30)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_29 _let_28) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_28)) :args (APPLY_UF rpoint)) (TRUE_INTRO _let_29))) :args _let_31)) :args _let_31)) :args (true _let_30)) _let_29 _let_28 :args (_let_20 false _let_14 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (vd1089 vd1085 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25))) _let_24 :args (_let_22 false _let_23)) :args (_let_18 false _let_1 false _let_20 false _let_22)) :args (false false _let_17 true _let_16 false _let_18)) :args ((forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (=> (rcenter Vd1 Vd2) (exists ((Vd3 $$unsorted) (Vd4 $$unsorted)) (and (rcircle Vd4) (= Vd3 Vd1) (rpoint Vd3) (= Vd4 Vd2))))) (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (=> (and (not (= Vd217 Vd218)) (exists ((Vd220 $$unsorted)) (and (rpoint Vd220) (= Vd217 Vd220))) (exists ((Vd221 $$unsorted)) (and (rpoint Vd221) (= Vd221 Vd218)))) (exists ((Vd223 $$unsorted)) (and (rline Vd223) (ron Vd217 Vd223) (ron Vd218 Vd223))))) (forall ((Vd194 $$unsorted) (Vd195 $$unsorted) (Vd196 $$unsorted) (Vd197 $$unsorted)) (=> (and (ron Vd196 Vd194) (rpoint Vd197) (rcircle Vd195) (= Vd195 Vd194) (= Vd196 Vd197)) (exists ((Vd198 $$unsorted)) (and (not (= Vd198 Vd196)) (ron Vd198 Vd194) (rpoint Vd198))))) (forall ((Vd691 $$unsorted) (Vd692 $$unsorted)) (=> (and (= Vd692 Vd691) (rreal Vd692)) (= (vplus Vd691 v0) Vd691))) (forall ((Vd958 $$unsorted) (Vd959 $$unsorted) (Vd960 $$unsorted)) (=> (and (exists ((Vd964 $$unsorted)) (and (rpoint Vd964) (= Vd960 Vd964))) (exists ((Vd963 $$unsorted)) (and (= Vd963 Vd959) (rpoint Vd963))) (exists ((Vd962 $$unsorted)) (and (= Vd958 Vd962) (rpoint Vd962)))) (exists ((Vd966 $$unsorted)) (and (= Vd966 (vg Vd958 Vd959 Vd960)) (rreal Vd966))))) (forall ((Vd489 $$unsorted) (Vd490 $$unsorted) (Vd491 $$unsorted) (Vd496 $$unsorted) (Vd497 $$unsorted)) (=> (and (ron Vd490 Vd496) (rR Vd490 Vd489 Vd491) (rline Vd497) (exists ((Vd495 $$unsorted)) (and (rpoint Vd495) (= Vd495 Vd491))) (exists ((Vd493 $$unsorted)) (and (rpoint Vd493) (= Vd489 Vd493))) (exists ((Vd494 $$unsorted)) (and (= Vd494 Vd490) (rpoint Vd494))) (= Vd496 Vd497)) (not (rS Vd489 Vd491 Vd496)))) (forall ((Vd225 $$unsorted) (Vd226 $$unsorted)) (=> (and (exists ((Vd229 $$unsorted)) (and (rpoint Vd229) (= Vd229 Vd225))) (exists ((Vd230 $$unsorted)) (and (rpoint Vd230) (= Vd230 Vd226))) (not (= Vd225 Vd226))) (exists ((Vd231 $$unsorted)) (and (ron Vd226 Vd231) (rcenter Vd225 Vd231) (rcircle Vd231))))) (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (=> (and (exists ((Vd858 $$unsorted)) (and (= Vd855 Vd858) (rpoint Vd858))) (exists ((Vd857 $$unsorted)) (and (= Vd857 Vd854) (rpoint Vd857))) (rcenter Vd859 Vd860) (ron Vd855 Vd860)) (= (rless (vf Vd859 Vd854) (vf Vd859 Vd855)) (rinside Vd854 Vd860)))) _let_15 (forall ((Vd61 $$unsorted) (Vd62 $$unsorted) (Vd63 $$unsorted) (Vd64 $$unsorted) (Vd65 $$unsorted) (Vd66 $$unsorted)) (=> (and (ron Vd65 Vd61) (rline Vd62) (= Vd61 Vd62) (rpoint Vd64) (= Vd63 Vd64) (rpoint Vd66) (= Vd65 Vd66) (ron Vd63 Vd61)) (exists ((Vd68 $$unsorted)) (and (not (= Vd65 Vd68)) (ron Vd68 Vd61) (rpoint Vd68) (not (= Vd63 Vd68)))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1050 Vd1049) (not (= Vd1047 Vd1049)) (= Vd1048 Vd1047) (rpoint Vd1048) (rpoint Vd1050)) (rpoint (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)))) (not (= vd1081 vd1085)) (forall ((Vd666 $$unsorted) (Vd667 $$unsorted) (Vd671 $$unsorted) (Vd672 $$unsorted)) (=> (and (rinside Vd666 Vd672) (or (rinside Vd667 Vd671) (ron Vd667 Vd671)) (ron Vd666 Vd671) (exists ((Vd669 $$unsorted)) (and (= Vd666 Vd669) (rpoint Vd669))) (exists ((Vd670 $$unsorted)) (and (= Vd667 Vd670) (rpoint Vd670))) (exists ((Vd674 $$unsorted)) (and (rcircle Vd674) (= Vd674 Vd671))) (exists ((Vd675 $$unsorted)) (and (rcircle Vd675) (= Vd675 Vd672))) (not (ron Vd667 Vd672)) (not (rinside Vd667 Vd672))) (rintersect Vd671 Vd672))) (= vd684 v0) (forall ((Vd500 $$unsorted) (Vd501 $$unsorted) (Vd502 $$unsorted) (Vd507 $$unsorted) (Vd508 $$unsorted)) (=> (and (ron Vd501 Vd507) (ron Vd501 Vd508) (ron Vd500 Vd508) (exists ((Vd511 $$unsorted)) (and (= Vd508 Vd511) (rline Vd511))) (not (= Vd501 Vd502)) (not (= Vd500 Vd502)) (exists ((Vd506 $$unsorted)) (and (rpoint Vd506) (= Vd502 Vd506))) (exists ((Vd505 $$unsorted)) (and (rpoint Vd505) (= Vd501 Vd505))) (exists ((Vd504 $$unsorted)) (and (rpoint Vd504) (= Vd500 Vd504))) (not (= Vd501 Vd500)) (exists ((Vd510 $$unsorted)) (and (= Vd507 Vd510) (rline Vd510))) (not (= Vd508 Vd507)) (ron Vd502 Vd508) (not (rS Vd500 Vd502 Vd507))) (rR Vd501 Vd500 Vd502))) (forall ((Vd238 $$unsorted) (Vd239 $$unsorted) (Vd240 $$unsorted) (Vd241 $$unsorted)) (=> (and (rintersect Vd240 Vd238) (= Vd241 Vd240) (rline Vd241) (= Vd238 Vd239) (rcircle Vd239)) (exists ((Vd242 $$unsorted)) (and (ron Vd242 Vd238) (ron Vd242 Vd240) (rpoint Vd242))))) (forall ((Vd847 $$unsorted) (Vd848 $$unsorted) (Vd849 $$unsorted) (Vd850 $$unsorted) (Vd851 $$unsorted) (Vd852 $$unsorted)) (=> (and (ron Vd851 Vd850) (rcenter Vd849 Vd850) (= Vd848 Vd847) (rpoint Vd848) (rpoint Vd852) (= Vd852 Vd851)) (= (ron Vd847 Vd850) (= (vf Vd849 Vd851) (vf Vd849 Vd847))))) (forall ((Vd777 $$unsorted) (Vd778 $$unsorted) (Vd779 $$unsorted)) (let ((_let_1 (vangle Vd777 Vd778 Vd779))) (=> (and (exists ((Vd781 $$unsorted)) (and (rpoint Vd781) (= Vd781 Vd777))) (exists ((Vd782 $$unsorted)) (and (rpoint Vd782) (= Vd778 Vd782))) (exists ((Vd783 $$unsorted)) (and (rpoint Vd783) (= Vd779 Vd783)))) (and (rleq v0 _let_1) (rleq _let_1 (vplus vperp vperp)))))) (forall ((Vd660 $$unsorted) (Vd661 $$unsorted) (Vd662 $$unsorted) (Vd663 $$unsorted) (Vd664 $$unsorted) (Vd665 $$unsorted)) (=> (and (= Vd665 Vd664) (rpoint Vd661) (= Vd660 Vd661) (rcircle Vd663) (= Vd663 Vd662) (rline Vd665) (rinside Vd660 Vd662) (ron Vd660 Vd664)) (rintersect Vd664 Vd662))) (forall ((Vd372 $$unsorted) (Vd373 $$unsorted) (Vd374 $$unsorted) (Vd375 $$unsorted)) (=> (and (rR Vd375 Vd372 Vd373) (exists ((Vd380 $$unsorted)) (and (= Vd375 Vd380) (rpoint Vd380))) (exists ((Vd378 $$unsorted)) (and (= Vd378 Vd373) (rpoint Vd378))) (exists ((Vd377 $$unsorted)) (and (= Vd377 Vd372) (rpoint Vd377))) (exists ((Vd379 $$unsorted)) (and (= Vd379 Vd374) (rpoint Vd379))) (rR Vd373 Vd372 Vd374)) (rR Vd375 Vd372 Vd374))) (forall ((Vd537 $$unsorted) (Vd538 $$unsorted) (Vd539 $$unsorted) (Vd544 $$unsorted) (Vd545 $$unsorted) (Vd546 $$unsorted) (Vd547 $$unsorted)) (=> (and (not (= Vd544 Vd545)) (not (ron Vd547 Vd538)) (rS Vd546 Vd547 Vd537) (ron Vd547 Vd539) (ron Vd545 Vd537) (ron Vd544 Vd539) (exists ((Vd550 $$unsorted)) (and (rpoint Vd550) (= Vd550 Vd545))) (exists ((Vd543 $$unsorted)) (and (rline Vd543) (= Vd539 Vd543))) (exists ((Vd542 $$unsorted)) (and (rline Vd542) (= Vd542 Vd538))) (exists ((Vd541 $$unsorted)) (and (= Vd541 Vd537) (rline Vd541))) (exists ((Vd549 $$unsorted)) (and (= Vd544 Vd549) (rpoint Vd549))) (exists ((Vd551 $$unsorted)) (and (= Vd546 Vd551) (rpoint Vd551))) (exists ((Vd552 $$unsorted)) (and (= Vd552 Vd547) (rpoint Vd552))) (ron Vd544 Vd537) (ron Vd544 Vd538) (ron Vd546 Vd538) (not (rS Vd545 Vd547 Vd538))) (rS Vd545 Vd546 Vd539))) (forall ((Vd761 $$unsorted) (Vd762 $$unsorted)) (=> (and (exists ((Vd765 $$unsorted)) (and (= Vd765 Vd762) (rpoint Vd765))) (exists ((Vd764 $$unsorted)) (and (= Vd761 Vd764) (rpoint Vd764)))) (= (vf Vd762 Vd761) (vf Vd761 Vd762)))) (forall ((Vd52 $$unsorted) (Vd53 $$unsorted)) (=> (and (rline Vd53) (= Vd52 Vd53)) (exists ((Vd54 $$unsorted)) (and (rpoint Vd54) (ron Vd54 Vd52))))) (forall ((Vd516 $$unsorted) (Vd517 $$unsorted) (Vd518 $$unsorted) (Vd523 $$unsorted) (Vd524 $$unsorted) (Vd525 $$unsorted) (Vd526 $$unsorted)) (=> (and (rS Vd524 Vd525 Vd518) (rS Vd525 Vd526 Vd516) (ron Vd525 Vd518) (ron Vd524 Vd516) (ron Vd523 Vd518) (ron Vd523 Vd517) (ron Vd523 Vd516) (exists ((Vd531 $$unsorted)) (and (rpoint Vd531) (= Vd526 Vd531))) (exists ((Vd530 $$unsorted)) (and (= Vd530 Vd525) (rpoint Vd530))) (exists ((Vd529 $$unsorted)) (and (= Vd529 Vd524) (rpoint Vd529))) (exists ((Vd528 $$unsorted)) (and (= Vd523 Vd528) (rpoint Vd528))) (exists ((Vd522 $$unsorted)) (and (rline Vd522) (= Vd518 Vd522))) (exists ((Vd521 $$unsorted)) (and (= Vd521 Vd517) (rline Vd521))) (exists ((Vd520 $$unsorted)) (and (rline Vd520) (= Vd520 Vd516))) (ron Vd526 Vd518)) (not (rS Vd524 Vd526 Vd517)))) _let_14 (rreal vd684) _let_13 (forall ((Vd288 $$unsorted) (Vd289 $$unsorted) (Vd293 $$unsorted) (Vd294 $$unsorted) (Vd295 $$unsorted) (Vd296 $$unsorted) (Vd298 $$unsorted)) (=> (and (ron Vd296 Vd293) (= Vd294 Vd293) (exists ((Vd291 $$unsorted)) (and (= Vd291 Vd288) (rcircle Vd291))) (exists ((Vd292 $$unsorted)) (and (= Vd289 Vd292) (rcircle Vd292))) (rline Vd294) (rintersect Vd288 Vd289) (rcenter Vd295 Vd288) (rcenter Vd296 Vd289) (ron Vd295 Vd293) (not (ron Vd298 Vd293))) (exists ((Vd299 $$unsorted)) (and (ron Vd299 Vd289) (ron Vd299 Vd288) (rpoint Vd299) (rS Vd299 Vd298 Vd293))))) (forall ((Vd336 $$unsorted) (Vd337 $$unsorted) (Vd338 $$unsorted) (Vd339 $$unsorted)) (=> (and (rinside Vd336 Vd338) (= Vd337 Vd336) (rpoint Vd337) (rcircle Vd339) (= Vd339 Vd338)) (not (ron Vd336 Vd338)))) (forall ((Vd713 $$unsorted) (Vd714 $$unsorted)) (=> (and (rreal Vd714) (= Vd713 Vd714)) (not (rless Vd713 Vd713)))) (forall ((Vd706 $$unsorted) (Vd707 $$unsorted) (Vd708 $$unsorted) (Vd709 $$unsorted)) (=> (and (rreal Vd709) (= Vd707 Vd706) (rreal Vd707) (= Vd708 Vd709) (rless Vd706 Vd708)) (or (= Vd708 Vd706) (not (rless Vd708 Vd706))))) (forall ((Vd636 $$unsorted) (Vd637 $$unsorted) (Vd641 $$unsorted) (Vd642 $$unsorted) (Vd644 $$unsorted) (Vd645 $$unsorted)) (=> (and (ron Vd636 Vd644) (rline Vd645) (exists ((Vd640 $$unsorted)) (and (= Vd637 Vd640) (rpoint Vd640))) (exists ((Vd639 $$unsorted)) (and (rpoint Vd639) (= Vd636 Vd639))) (rline Vd642) (not (rS Vd636 Vd637 Vd641)) (ron Vd637 Vd644) (= Vd645 Vd644) (= Vd641 Vd642)) (rintersect Vd641 Vd644))) (forall ((Vd71 $$unsorted) (Vd72 $$unsorted) (Vd73 $$unsorted) (Vd74 $$unsorted) (Vd75 $$unsorted)) (=> (and (ron Vd75 Vd71) (ron Vd74 Vd71) (ron Vd73 Vd71) (rline Vd72) (= Vd71 Vd72) (exists ((Vd77 $$unsorted)) (and (= Vd77 Vd73) (rpoint Vd77))) (exists ((Vd78 $$unsorted)) (and (rpoint Vd78) (= Vd78 Vd74))) (exists ((Vd79 $$unsorted)) (and (rpoint Vd79) (= Vd75 Vd79)))) (exists ((Vd81 $$unsorted)) (and (not (= Vd74 Vd81)) (not (= Vd81 Vd73)) (rpoint Vd81) (ron Vd81 Vd71))))) _let_12 (forall ((Vd594 $$unsorted) (Vd595 $$unsorted) (Vd596 $$unsorted) (Vd601 $$unsorted) (Vd602 $$unsorted) (Vd603 $$unsorted) (Vd604 $$unsorted)) (=> (and (rR Vd596 Vd594 Vd595) (rcircle Vd604) (exists ((Vd598 $$unsorted)) (and (= Vd594 Vd598) (rpoint Vd598))) (exists ((Vd599 $$unsorted)) (and (rpoint Vd599) (= Vd599 Vd595))) (exists ((Vd600 $$unsorted)) (and (= Vd600 Vd596) (rpoint Vd600))) (rline Vd602) (= Vd601 Vd602) (= Vd603 Vd604) (or (rinside Vd594 Vd603) (ron Vd594 Vd603)) (or (rinside Vd595 Vd603) (ron Vd595 Vd603))) (rinside Vd596 Vd603))) (forall ((Vd109 $$unsorted) (Vd110 $$unsorted) (Vd111 $$unsorted) (Vd112 $$unsorted) (Vd113 $$unsorted) (Vd114 $$unsorted)) (=> (and (ron Vd113 Vd109) (ron Vd112 Vd109) (exists ((Vd119 $$unsorted)) (and (= Vd119 Vd114) (rpoint Vd119))) (exists ((Vd118 $$unsorted)) (and (rpoint Vd118) (= Vd113 Vd118))) (exists ((Vd116 $$unsorted)) (and (rpoint Vd116) (= Vd111 Vd116))) (rline Vd110) (= Vd110 Vd109) (exists ((Vd117 $$unsorted)) (and (rpoint Vd117) (= Vd117 Vd112))) (ron Vd111 Vd109) (rR Vd113 Vd111 Vd112) (rR Vd114 Vd111 Vd112)) (exists ((Vd123 $$unsorted)) (and (rR Vd123 Vd111 Vd112) (rpoint Vd123) (not (= Vd113 Vd123)) (not (= Vd123 Vd114)))))) (forall ((Vd152 $$unsorted) (Vd153 $$unsorted) (Vd154 $$unsorted) (Vd155 $$unsorted)) (=> (and (rline Vd153) (= Vd152 Vd153) (rpoint Vd155) (not (ron Vd154 Vd152)) (= Vd155 Vd154)) (exists ((Vd156 $$unsorted)) (and (not (= Vd156 Vd154)) (rpoint Vd156) (rS Vd156 Vd154 Vd152))))) (forall ((Vd138 $$unsorted) (Vd139 $$unsorted) (Vd140 $$unsorted) (Vd141 $$unsorted) (Vd146 $$unsorted) (Vd147 $$unsorted)) (=> (and (= Vd147 Vd146) (rpoint Vd147) (ron Vd140 Vd138) (exists ((Vd144 $$unsorted)) (and (= Vd144 Vd141) (rpoint Vd144))) (= Vd139 Vd138) (rline Vd139) (exists ((Vd143 $$unsorted)) (and (= Vd140 Vd143) (rpoint Vd143))) (ron Vd141 Vd138) (rR Vd141 Vd140 Vd146)) (exists ((Vd149 $$unsorted)) (and (rpoint Vd149) (rR Vd141 Vd140 Vd149) (not (= Vd146 Vd149)))))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd331 $$unsorted) (Vd332 $$unsorted)) (=> (and (rcenter Vd332 Vd328) (= Vd329 Vd328) (rcircle Vd329) (rcenter Vd331 Vd328)) (= Vd332 Vd331))) (forall ((Vd799 $$unsorted) (Vd800 $$unsorted) (Vd801 $$unsorted)) (let ((_let_1 (vg Vd799 Vd800 Vd801))) (=> (and (exists ((Vd805 $$unsorted)) (and (= Vd805 Vd801) (rpoint Vd805))) (exists ((Vd803 $$unsorted)) (and (rpoint Vd803) (= Vd803 Vd799))) (exists ((Vd804 $$unsorted)) (and (rpoint Vd804) (= Vd804 Vd800)))) (and (= (vg Vd801 Vd799 Vd800) _let_1) (= _let_1 (vg Vd799 Vd801 Vd800)))))) (forall ((Vd733 $$unsorted) (Vd734 $$unsorted) (Vd735 $$unsorted) (Vd736 $$unsorted) (Vd737 $$unsorted) (Vd738 $$unsorted)) (=> (and (= Vd735 Vd736) (= Vd733 Vd734) (rreal Vd734) (rreal Vd736) (rreal Vd738) (= Vd738 Vd737) (= (vplus Vd733 Vd737) (vplus Vd735 Vd737))) (= Vd733 Vd735))) (forall ((Vd908 $$unsorted) (Vd909 $$unsorted) (Vd910 $$unsorted) (Vd911 $$unsorted) (Vd912 $$unsorted) (Vd919 $$unsorted) (Vd920 $$unsorted)) (=> (and (not (rR Vd908 Vd909 Vd911)) (not (= Vd908 Vd912)) (not (= Vd909 Vd908)) (ron Vd912 Vd920) (ron Vd910 Vd920) (ron Vd911 Vd919) (ron Vd909 Vd919) (ron Vd908 Vd919) (exists ((Vd922 $$unsorted)) (and (rline Vd922) (= Vd919 Vd922))) (exists ((Vd915 $$unsorted)) (and (rpoint Vd915) (= Vd909 Vd915))) (exists ((Vd914 $$unsorted)) (and (rpoint Vd914) (= Vd914 Vd908))) (exists ((Vd916 $$unsorted)) (and (= Vd916 Vd910) (rpoint Vd916))) (exists ((Vd917 $$unsorted)) (and (= Vd917 Vd911) (rpoint Vd917))) (exists ((Vd918 $$unsorted)) (and (rpoint Vd918) (= Vd912 Vd918))) (exists ((Vd923 $$unsorted)) (and (= Vd920 Vd923) (rline Vd923))) (not (= Vd908 Vd910)) (not (= Vd908 Vd911)) (not (rR Vd908 Vd910 Vd912))) (= (vangle Vd909 Vd908 Vd910) (vangle Vd911 Vd908 Vd912)))) (forall ((Vd200 $$unsorted) (Vd201 $$unsorted) (Vd202 $$unsorted) (Vd203 $$unsorted)) (=> (and (ron Vd202 Vd200) (exists ((Vd206 $$unsorted)) (and (rpoint Vd206) (= Vd206 Vd203))) (rcircle Vd201) (= Vd200 Vd201) (exists ((Vd205 $$unsorted)) (and (= Vd205 Vd202) (rpoint Vd205))) (ron Vd203 Vd200)) (exists ((Vd208 $$unsorted)) (and (not (= Vd203 Vd208)) (rpoint Vd208) (ron Vd208 Vd200) (not (= Vd202 Vd208)))))) (forall ((Vd84 $$unsorted) (Vd85 $$unsorted) (Vd86 $$unsorted) (Vd87 $$unsorted)) (=> (and (not (= Vd87 Vd86)) (ron Vd87 Vd84) (ron Vd86 Vd84) (exists ((Vd90 $$unsorted)) (and (rpoint Vd90) (= Vd90 Vd87))) (exists ((Vd89 $$unsorted)) (and (rpoint Vd89) (= Vd89 Vd86))) (rline Vd85) (= Vd85 Vd84)) (exists ((Vd93 $$unsorted)) (and (rpoint Vd93) (rR Vd93 Vd86 Vd87))))) (forall ((Vd408 $$unsorted) (Vd409 $$unsorted) (Vd410 $$unsorted) (Vd411 $$unsorted)) (=> (and (rR Vd409 Vd408 Vd411) (rR Vd409 Vd408 Vd410) (exists ((Vd415 $$unsorted)) (and (rpoint Vd415) (= Vd415 Vd410))) (exists ((Vd414 $$unsorted)) (and (= Vd414 Vd409) (rpoint Vd414))) (exists ((Vd413 $$unsorted)) (and (= Vd408 Vd413) (rpoint Vd413))) (exists ((Vd416 $$unsorted)) (and (= Vd416 Vd411) (rpoint Vd416)))) (not (rR Vd409 Vd410 Vd411)))) (forall ((Vd874 $$unsorted) (Vd875 $$unsorted) (Vd876 $$unsorted) (Vd877 $$unsorted) (Vd883 $$unsorted) (Vd884 $$unsorted)) (=> (and (not (ron Vd877 Vd884)) (ron Vd874 Vd884) (ron Vd874 Vd883) (exists ((Vd879 $$unsorted)) (and (= Vd879 Vd874) (rpoint Vd879))) (exists ((Vd880 $$unsorted)) (and (rpoint Vd880) (= Vd880 Vd875))) (exists ((Vd881 $$unsorted)) (and (rpoint Vd881) (= Vd881 Vd876))) (exists ((Vd882 $$unsorted)) (and (rpoint Vd882) (= Vd882 Vd877))) (exists ((Vd886 $$unsorted)) (and (rline Vd886) (= Vd883 Vd886))) (exists ((Vd887 $$unsorted)) (and (= Vd884 Vd887) (rline Vd887))) (ron Vd875 Vd883) (ron Vd876 Vd884) (not (= Vd875 Vd874)) (not (= Vd874 Vd876)) (not (ron Vd877 Vd883)) (not (= Vd884 Vd883))) (= (= (vplus (vangle Vd875 Vd874 Vd877) (vangle Vd877 Vd874 Vd876)) (vangle Vd875 Vd874 Vd876)) (and (rS Vd875 Vd877 Vd884) (rS Vd876 Vd877 Vd883))))) _let_10 (forall ((Vd434 $$unsorted) (Vd435 $$unsorted) (Vd439 $$unsorted) (Vd440 $$unsorted)) (=> (and (rline Vd440) (exists ((Vd438 $$unsorted)) (and (= Vd435 Vd438) (rpoint Vd438))) (exists ((Vd437 $$unsorted)) (and (rpoint Vd437) (= Vd434 Vd437))) (= Vd439 Vd440) (rS Vd434 Vd435 Vd439)) (not (ron Vd434 Vd439)))) (forall ((Vd275 $$unsorted) (Vd276 $$unsorted) (Vd277 $$unsorted) (Vd278 $$unsorted)) (=> (and (rcircle Vd278) (rcircle Vd276) (= Vd275 Vd276) (= Vd278 Vd277) (rintersect Vd275 Vd277)) (exists ((Vd279 $$unsorted)) (and (rpoint Vd279) (ron Vd279 Vd275) (ron Vd279 Vd277))))) (forall ((Vd581 $$unsorted) (Vd582 $$unsorted) (Vd583 $$unsorted) (Vd588 $$unsorted) (Vd589 $$unsorted) (Vd590 $$unsorted) (Vd591 $$unsorted)) (=> (and (ron Vd583 Vd590) (ron Vd582 Vd590) (= Vd588 Vd589) (exists ((Vd586 $$unsorted)) (and (rpoint Vd586) (= Vd582 Vd586))) (exists ((Vd585 $$unsorted)) (and (= Vd581 Vd585) (rpoint Vd585))) (exists ((Vd587 $$unsorted)) (and (= Vd587 Vd583) (rpoint Vd587))) (rline Vd589) (rcircle Vd591) (= Vd591 Vd590) (ron Vd581 Vd588) (ron Vd582 Vd588) (ron Vd583 Vd588) (rinside Vd581 Vd590) (not (= Vd582 Vd583))) (rR Vd581 Vd582 Vd583))) (forall ((Vd425 $$unsorted) (Vd426 $$unsorted) (Vd430 $$unsorted) (Vd431 $$unsorted)) (=> (and (= Vd430 Vd431) (exists ((Vd428 $$unsorted)) (and (= Vd425 Vd428) (rpoint Vd428))) (exists ((Vd429 $$unsorted)) (and (= Vd429 Vd426) (rpoint Vd429))) (rline Vd431) (rS Vd425 Vd426 Vd430)) (rS Vd426 Vd425 Vd430))) (forall ((Vd170 $$unsorted) (Vd171 $$unsorted) (Vd172 $$unsorted) (Vd173 $$unsorted) (Vd174 $$unsorted) (Vd175 $$unsorted) (Vd177 $$unsorted) (Vd178 $$unsorted)) (=> (and (= Vd175 Vd174) (rS Vd177 Vd172 Vd170) (rpoint Vd178) (rpoint Vd175) (rpoint Vd173) (= Vd171 Vd170) (rline Vd171) (not (ron Vd172 Vd170)) (rS Vd174 Vd172 Vd170) (= Vd177 Vd178) (= Vd173 Vd172)) (exists ((Vd180 $$unsorted)) (and (not (= Vd174 Vd180)) (not (= Vd180 Vd172)) (rS Vd180 Vd172 Vd170) (rpoint Vd180) (not (= Vd180 Vd177)))))) (forall ((Vd616 $$unsorted) (Vd617 $$unsorted) (Vd622 $$unsorted) (Vd623 $$unsorted) (Vd630 $$unsorted) (Vd631 $$unsorted) (Vd632 $$unsorted) (Vd633 $$unsorted)) (=> (and (rcenter Vd630 Vd616) (ron Vd623 Vd616) (ron Vd622 Vd617) (not (= Vd617 Vd616)) (exists ((Vd620 $$unsorted)) (and (= Vd617 Vd620) (rcircle Vd620))) (exists ((Vd619 $$unsorted)) (and (rcircle Vd619) (= Vd616 Vd619))) (rintersect Vd616 Vd617) (exists ((Vd625 $$unsorted)) (and (rpoint Vd625) (= Vd622 Vd625))) (exists ((Vd626 $$unsorted)) (and (rpoint Vd626) (= Vd623 Vd626))) (ron Vd622 Vd616) (ron Vd623 Vd617) (not (= Vd623 Vd622)) (rcenter Vd631 Vd617) (rline Vd633) (= Vd633 Vd632) (ron Vd630 Vd632) (ron Vd631 Vd632)) (not (rS Vd622 Vd623 Vd632)))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd306 $$unsorted) (Vd307 $$unsorted) (Vd308 $$unsorted) (Vd309 $$unsorted) (Vd311 $$unsorted)) (=> (and (not (ron Vd311 Vd306)) (ron Vd308 Vd306) (rintersect Vd301 Vd302) (exists ((Vd305 $$unsorted)) (and (= Vd305 Vd302) (rcircle Vd305))) (exists ((Vd304 $$unsorted)) (and (= Vd301 Vd304) (rcircle Vd304))) (rline Vd307) (= Vd307 Vd306) (rcenter Vd308 Vd301) (rcenter Vd309 Vd302) (ron Vd309 Vd306)) (exists ((Vd312 $$unsorted)) (and (ron Vd312 Vd301) (rpoint Vd312) (ron Vd312 Vd302) (not (rS Vd312 Vd311 Vd306)))))) (forall ((Vd340 $$unsorted) (Vd341 $$unsorted) (Vd342 $$unsorted)) (=> (and (exists ((Vd346 $$unsorted)) (and (= Vd346 Vd342) (rpoint Vd346))) (exists ((Vd344 $$unsorted)) (and (rpoint Vd344) (= Vd344 Vd340))) (exists ((Vd345 $$unsorted)) (and (rpoint Vd345) (= Vd341 Vd345))) (rR Vd341 Vd340 Vd342)) (and (not (= Vd340 Vd342)) (not (= Vd340 Vd341)) (rR Vd341 Vd342 Vd340) (not (rR Vd340 Vd341 Vd342))))) (rpoint vd14) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted) (Vd246 $$unsorted) (Vd247 $$unsorted)) (=> (and (rline Vd247) (= Vd244 Vd245) (rcircle Vd245) (= Vd246 Vd247) (rintersect Vd246 Vd244)) (exists ((Vd248 $$unsorted) (Vd250 $$unsorted)) (and (ron Vd250 Vd244) (ron Vd250 Vd246) (rpoint Vd250) (ron Vd248 Vd244) (ron Vd248 Vd246) (rpoint Vd248) (not (= Vd248 Vd250)))))) (forall ((Vd676 $$unsorted) (Vd677 $$unsorted) (Vd681 $$unsorted) (Vd682 $$unsorted)) (=> (and (ron Vd677 Vd682) (rinside Vd676 Vd682) (rinside Vd677 Vd681) (exists ((Vd680 $$unsorted)) (and (= Vd680 Vd677) (rpoint Vd680))) (exists ((Vd679 $$unsorted)) (and (rpoint Vd679) (= Vd676 Vd679))) (ron Vd676 Vd681)) (rintersect Vd681 Vd682))) (forall ((Vd352 $$unsorted) (Vd353 $$unsorted) (Vd354 $$unsorted) (Vd359 $$unsorted) (Vd360 $$unsorted)) (=> (and (= Vd360 Vd359) (ron Vd353 Vd359) (ron Vd352 Vd359) (exists ((Vd358 $$unsorted)) (and (rpoint Vd358) (= Vd358 Vd354))) (exists ((Vd356 $$unsorted)) (and (rpoint Vd356) (= Vd352 Vd356))) (exists ((Vd357 $$unsorted)) (and (rpoint Vd357) (= Vd357 Vd353))) (rline Vd360) (rR Vd353 Vd352 Vd354)) (ron Vd354 Vd359))) (forall ((Vd5 $$unsorted) (Vd6 $$unsorted) (Vd7 $$unsorted) (Vd9 $$unsorted)) (=> (and (= (vtriangle Vd5 Vd6 Vd7) Vd9) (rtriangle Vd9)) (and (not (= Vd5 Vd7)) (not (= Vd6 Vd5)) (exists ((Vd13 $$unsorted)) (and (rpoint Vd13) (= Vd7 Vd13))) (exists ((Vd12 $$unsorted)) (and (= Vd6 Vd12) (rpoint Vd12))) (exists ((Vd11 $$unsorted)) (and (= Vd5 Vd11) (rpoint Vd11))) (not (= Vd6 Vd7))))) (forall ((Vd263 $$unsorted) (Vd264 $$unsorted) (Vd265 $$unsorted) (Vd266 $$unsorted) (Vd267 $$unsorted) (Vd268 $$unsorted) (Vd269 $$unsorted) (Vd270 $$unsorted)) (=> (and (= Vd269 Vd270) (= Vd264 Vd263) (rcircle Vd264) (rline Vd266) (= Vd265 Vd266) (rpoint Vd268) (= Vd268 Vd267) (rinside Vd267 Vd263) (ron Vd267 Vd265) (rpoint Vd270) (ron Vd269 Vd265) (not (= Vd267 Vd269))) (exists ((Vd272 $$unsorted)) (and (ron Vd272 Vd263) (rpoint Vd272) (ron Vd272 Vd265) (rR Vd267 Vd272 Vd269))))) (forall ((Vd454 $$unsorted) (Vd455 $$unsorted) (Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (and (not (ron Vd456 Vd461)) (not (ron Vd455 Vd461)) (rline Vd462) (exists ((Vd459 $$unsorted)) (and (rpoint Vd459) (= Vd455 Vd459))) (exists ((Vd458 $$unsorted)) (and (= Vd458 Vd454) (rpoint Vd458))) (exists ((Vd460 $$unsorted)) (and (rpoint Vd460) (= Vd460 Vd456))) (= Vd461 Vd462) (not (ron Vd454 Vd461)) (not (rS Vd454 Vd455 Vd461))) (or (rS Vd455 Vd456 Vd461) (rS Vd454 Vd456 Vd461)))) (forall ((Vd95 $$unsorted) (Vd96 $$unsorted) (Vd97 $$unsorted) (Vd98 $$unsorted) (Vd99 $$unsorted)) (=> (and (ron Vd97 Vd95) (exists ((Vd102 $$unsorted)) (and (= Vd102 Vd98) (rpoint Vd102))) (= Vd96 Vd95) (rline Vd96) (exists ((Vd101 $$unsorted)) (and (= Vd97 Vd101) (rpoint Vd101))) (exists ((Vd103 $$unsorted)) (and (rpoint Vd103) (= Vd103 Vd99))) (ron Vd98 Vd95) (rR Vd99 Vd97 Vd98)) (exists ((Vd106 $$unsorted)) (and (not (= Vd106 Vd99)) (rR Vd106 Vd97 Vd98) (rpoint Vd106))))) (forall ((Vd685 $$unsorted) (Vd686 $$unsorted) (Vd687 $$unsorted) (Vd688 $$unsorted)) (=> (and (rreal Vd688) (rreal Vd686) (= Vd686 Vd685) (= Vd687 Vd688)) (exists ((Vd690 $$unsorted)) (and (rreal Vd690) (= Vd690 (vplus Vd685 Vd687)))))) (forall ((Vd253 $$unsorted) (Vd254 $$unsorted) (Vd255 $$unsorted) (Vd256 $$unsorted) (Vd257 $$unsorted) (Vd258 $$unsorted) (Vd259 $$unsorted) (Vd260 $$unsorted)) (=> (and (ron Vd259 Vd255) (not (ron Vd259 Vd253)) (not (rinside Vd259 Vd253)) (ron Vd257 Vd255) (rinside Vd257 Vd253) (= Vd257 Vd258) (rpoint Vd258) (= Vd256 Vd255) (rline Vd256) (= Vd254 Vd253) (rcircle Vd254) (rpoint Vd260) (= Vd260 Vd259)) (exists ((Vd261 $$unsorted)) (and (ron Vd261 Vd255) (rpoint Vd261) (ron Vd261 Vd253) (rR Vd261 Vd257 Vd259))))) (forall ((Vd478 $$unsorted) (Vd479 $$unsorted) (Vd480 $$unsorted) (Vd485 $$unsorted) (Vd486 $$unsorted)) (=> (and (not (ron Vd479 Vd485)) (= Vd485 Vd486) (exists ((Vd483 $$unsorted)) (and (rpoint Vd483) (= Vd479 Vd483))) (exists ((Vd482 $$unsorted)) (and (= Vd478 Vd482) (rpoint Vd482))) (exists ((Vd484 $$unsorted)) (and (rpoint Vd484) (= Vd480 Vd484))) (rline Vd486) (rR Vd479 Vd478 Vd480) (ron Vd478 Vd485)) (rS Vd479 Vd480 Vd485))) (forall ((Vd27 $$unsorted) (Vd28 $$unsorted) (Vd29 $$unsorted)) (=> (and (exists ((Vd33 $$unsorted)) (and (= Vd29 Vd33) (rpoint Vd33))) (exists ((Vd32 $$unsorted)) (and (= Vd28 Vd32) (rpoint Vd32))) (exists ((Vd31 $$unsorted)) (and (= Vd31 Vd27) (rpoint Vd31)))) (exists ((Vd34 $$unsorted)) (and (not (= Vd29 Vd34)) (rpoint Vd34) (not (= Vd34 Vd27)) (not (= Vd34 Vd28)))))) (forall ((Vd792 $$unsorted) (Vd793 $$unsorted) (Vd794 $$unsorted) (Vd795 $$unsorted) (Vd796 $$unsorted) (Vd797 $$unsorted)) (=> (and (= Vd796 Vd797) (rpoint Vd797) (= Vd794 Vd795) (rpoint Vd795) (rpoint Vd793) (= Vd793 Vd792)) (rgeq (vg Vd792 Vd794 Vd796) v0))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (let ((_let_1 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))) (=> (and (= Vd1050 Vd1049) (= Vd1048 Vd1047) (rpoint Vd1048) (rpoint Vd1050) (not (= Vd1049 Vd1047))) (= (vf _let_1 Vd1047) (vf Vd1049 _let_1))))) (forall ((Vd280 $$unsorted) (Vd281 $$unsorted)) (=> (and (exists ((Vd283 $$unsorted)) (and (rcircle Vd283) (= Vd283 Vd280))) (exists ((Vd284 $$unsorted)) (and (rcircle Vd284) (= Vd281 Vd284))) (rintersect Vd280 Vd281)) (exists ((Vd285 $$unsorted) (Vd286 $$unsorted)) (and (ron Vd286 Vd281) (rpoint Vd286) (ron Vd285 Vd281) (ron Vd285 Vd280) (rpoint Vd285) (ron Vd286 Vd280) (not (= Vd285 Vd286)))))) (forall ((Vd442 $$unsorted) (Vd443 $$unsorted) (Vd444 $$unsorted) (Vd449 $$unsorted) (Vd450 $$unsorted)) (=> (and (rS Vd442 Vd444 Vd449) (rS Vd442 Vd443 Vd449) (exists ((Vd448 $$unsorted)) (and (= Vd444 Vd448) (rpoint Vd448))) (exists ((Vd446 $$unsorted)) (and (= Vd442 Vd446) (rpoint Vd446))) (exists ((Vd447 $$unsorted)) (and (= Vd443 Vd447) (rpoint Vd447))) (rline Vd450) (= Vd449 Vd450)) (rS Vd443 Vd444 Vd449))) _let_9 (forall ((Vd232 $$unsorted) (Vd233 $$unsorted) (Vd234 $$unsorted) (Vd235 $$unsorted)) (=> (and (rintersect Vd232 Vd234) (= Vd234 Vd235) (= Vd233 Vd232) (rline Vd233) (rline Vd235)) (exists ((Vd236 $$unsorted)) (and (rpoint Vd236) (ron Vd236 Vd232) (ron Vd236 Vd234))))) (forall ((Vd606 $$unsorted) (Vd607 $$unsorted) (Vd608 $$unsorted) (Vd613 $$unsorted) (Vd614 $$unsorted)) (let ((_let_1 (not (ron Vd607 Vd613)))) (=> (and (not (rinside Vd608 Vd613)) (rcircle Vd614) (exists ((Vd611 $$unsorted)) (and (= Vd607 Vd611) (rpoint Vd611))) (exists ((Vd610 $$unsorted)) (and (= Vd610 Vd606) (rpoint Vd610))) (exists ((Vd612 $$unsorted)) (and (rpoint Vd612) (= Vd612 Vd608))) (= Vd614 Vd613) (or (rinside Vd606 Vd613) (ron Vd606 Vd613)) (rR Vd608 Vd606 Vd607)) (and _let_1 _let_1)))) (not (= vd1081 vd1080)) (forall ((Vd837 $$unsorted) (Vd838 $$unsorted) (Vd842 $$unsorted) (Vd843 $$unsorted) (Vd844 $$unsorted)) (=> (and (= (vf Vd842 Vd838) (vf Vd842 Vd837)) (ron Vd837 Vd843) (exists ((Vd841 $$unsorted)) (and (= Vd841 Vd838) (rpoint Vd841))) (exists ((Vd840 $$unsorted)) (and (= Vd837 Vd840) (rpoint Vd840))) (rcenter Vd842 Vd843) (rcenter Vd842 Vd844) (ron Vd838 Vd844)) (= Vd844 Vd843))) (forall ((Vd862 $$unsorted) (Vd863 $$unsorted) (Vd864 $$unsorted) (Vd865 $$unsorted) (Vd866 $$unsorted) (Vd867 $$unsorted) (Vd868 $$unsorted) (Vd869 $$unsorted)) (=> (and (ron Vd864 Vd868) (ron Vd862 Vd868) (not (= Vd866 Vd862)) (rpoint Vd867) (= Vd864 Vd865) (rpoint Vd865) (rpoint Vd863) (= Vd862 Vd863) (= Vd866 Vd867) (rline Vd869) (= Vd868 Vd869) (not (= Vd862 Vd864))) (= (= v0 (vangle Vd864 Vd862 Vd866)) (and (not (rR Vd862 Vd864 Vd866)) (ron Vd866 Vd868))))) (forall ((Vd786 $$unsorted) (Vd787 $$unsorted)) (=> (and (exists ((Vd789 $$unsorted)) (and (= Vd786 Vd789) (rpoint Vd789))) (exists ((Vd790 $$unsorted)) (and (rpoint Vd790) (= Vd790 Vd787)))) (= v0 (vg Vd786 Vd786 Vd787)))) (forall ((Vd767 $$unsorted) (Vd768 $$unsorted) (Vd769 $$unsorted)) (=> (and (not (= Vd767 Vd768)) (exists ((Vd772 $$unsorted)) (and (= Vd772 Vd768) (rpoint Vd772))) (exists ((Vd771 $$unsorted)) (and (rpoint Vd771) (= Vd771 Vd767))) (exists ((Vd773 $$unsorted)) (and (rpoint Vd773) (= Vd769 Vd773))) (not (= Vd769 Vd767))) (= (vangle Vd769 Vd768 Vd767) (vangle Vd767 Vd768 Vd769)))) (forall ((Vd214 $$unsorted) (Vd215 $$unsorted)) (=> (and (rcircle Vd215) (= Vd214 Vd215)) (exists ((Vd216 $$unsorted)) (and (not (rinside Vd216 Vd214)) (rpoint Vd216) (not (ron Vd216 Vd214)))))) (forall ((Vd716 $$unsorted) (Vd717 $$unsorted) (Vd718 $$unsorted) (Vd719 $$unsorted) (Vd720 $$unsorted) (Vd721 $$unsorted)) (=> (and (rless Vd718 Vd720) (rless Vd716 Vd718) (= Vd720 Vd721) (rreal Vd717) (= Vd716 Vd717) (rreal Vd719) (= Vd719 Vd718) (rreal Vd721)) (rless Vd716 Vd720))) _let_5 (forall ((Vd699 $$unsorted) (Vd700 $$unsorted) (Vd701 $$unsorted) (Vd702 $$unsorted)) (=> (and (= Vd701 Vd702) (rreal Vd702) (= Vd699 Vd700) (rreal Vd700)) (or (rless Vd699 Vd701) (rless Vd701 Vd699) (= Vd701 Vd699)))) (forall ((Vd933 $$unsorted) (Vd934 $$unsorted) (Vd935 $$unsorted) (Vd936 $$unsorted) (Vd937 $$unsorted) (Vd944 $$unsorted) (Vd945 $$unsorted) (Vd946 $$unsorted)) (=> (and (rless (vplus (vangle Vd933 Vd934 Vd935) (vangle Vd934 Vd935 Vd936)) (vplus vperp vperp)) (ron Vd935 Vd946) (ron Vd933 Vd944) (exists ((Vd943 $$unsorted)) (and (= Vd943 Vd937) (rpoint Vd943))) (exists ((Vd939 $$unsorted)) (and (rpoint Vd939) (= Vd933 Vd939))) (exists ((Vd940 $$unsorted)) (and (= Vd940 Vd934) (rpoint Vd940))) (exists ((Vd941 $$unsorted)) (and (= Vd935 Vd941) (rpoint Vd941))) (exists ((Vd942 $$unsorted)) (and (= Vd936 Vd942) (rpoint Vd942))) (exists ((Vd948 $$unsorted)) (and (= Vd948 Vd944) (rline Vd948))) (exists ((Vd949 $$unsorted)) (and (rline Vd949) (= Vd949 Vd945))) (exists ((Vd950 $$unsorted)) (and (= Vd950 Vd946) (rline Vd950))) (ron Vd934 Vd944) (ron Vd934 Vd945) (ron Vd935 Vd945) (ron Vd936 Vd946) (not (= Vd934 Vd935)) (rS Vd933 Vd936 Vd945)) (and (rintersect Vd944 Vd945) (=> (and (ron Vd937 Vd944) (ron Vd937 Vd945)) (rS Vd937 Vd933 Vd945))))) (forall ((Vd979 $$unsorted) (Vd980 $$unsorted) (Vd981 $$unsorted) (Vd982 $$unsorted) (Vd988 $$unsorted) (Vd989 $$unsorted)) (=> (and (not (ron Vd982 Vd988)) (rline Vd989) (not (= Vd981 Vd982)) (not (= Vd982 Vd980)) (not (= Vd980 Vd979)) (exists ((Vd987 $$unsorted)) (and (rpoint Vd987) (= Vd982 Vd987))) (exists ((Vd986 $$unsorted)) (and (rpoint Vd986) (= Vd986 Vd981))) (exists ((Vd985 $$unsorted)) (and (rpoint Vd985) (= Vd980 Vd985))) (exists ((Vd984 $$unsorted)) (and (rpoint Vd984) (= Vd979 Vd984))) (not (= Vd981 Vd979)) (not (= Vd979 Vd982)) (not (= Vd981 Vd980)) (= Vd989 Vd988)) (= (= (vplus (vg Vd979 Vd981 Vd982) (vg Vd982 Vd981 Vd980)) (vg Vd979 Vd982 Vd980)) (rR Vd981 Vd979 Vd980)))) _let_4 (forall ((Vd466 $$unsorted) (Vd467 $$unsorted) (Vd468 $$unsorted) (Vd473 $$unsorted) (Vd474 $$unsorted)) (=> (and (rR Vd467 Vd466 Vd468) (= Vd474 Vd473) (exists ((Vd470 $$unsorted)) (and (rpoint Vd470) (= Vd470 Vd466))) (exists ((Vd471 $$unsorted)) (and (= Vd471 Vd467) (rpoint Vd471))) (exists ((Vd472 $$unsorted)) (and (= Vd468 Vd472) (rpoint Vd472))) (rline Vd474) (rS Vd466 Vd468 Vd473)) (rS Vd466 Vd467 Vd473))) (forall ((Vd992 $$unsorted) (Vd993 $$unsorted) (Vd994 $$unsorted) (Vd999 $$unsorted) (Vd1000 $$unsorted) (Vd1001 $$unsorted) (Vd1006 $$unsorted) (Vd1007 $$unsorted) (Vd1008 $$unsorted) (Vd1009 $$unsorted) (Vd1010 $$unsorted) (Vd1011 $$unsorted) (Vd1012 $$unsorted) (Vd1013 $$unsorted) (Vd1014 $$unsorted) (Vd1015 $$unsorted) (Vd1027 $$unsorted) (Vd1028 $$unsorted)) (=> (and (not (ron Vd1001 Vd1027)) (ron Vd1000 Vd1027) (exists ((Vd1025 $$unsorted)) (and (= Vd1014 Vd1025) (rpoint Vd1025))) (exists ((Vd1024 $$unsorted)) (and (rpoint Vd1024) (= Vd1013 Vd1024))) (exists ((Vd1023 $$unsorted)) (and (rpoint Vd1023) (= Vd1023 Vd1012))) (exists ((Vd1022 $$unsorted)) (and (= Vd1022 Vd1011) (rpoint Vd1022))) (exists ((Vd1021 $$unsorted)) (and (= Vd1010 Vd1021) (rpoint Vd1021))) (exists ((Vd1020 $$unsorted)) (and (= Vd1009 Vd1020) (rpoint Vd1020))) (exists ((Vd1018 $$unsorted)) (and (rpoint Vd1018) (= Vd1018 Vd1007))) (exists ((Vd1017 $$unsorted)) (and (= Vd1006 Vd1017) (rpoint Vd1017))) (exists ((Vd1005 $$unsorted)) (and (rpoint Vd1005) (= Vd1001 Vd1005))) (exists ((Vd1004 $$unsorted)) (and (= Vd1000 Vd1004) (rpoint Vd1004))) (exists ((Vd1003 $$unsorted)) (and (rpoint Vd1003) (= Vd1003 Vd999))) (not (= Vd993 Vd994)) (not (= Vd992 Vd994)) (not (= Vd993 Vd992)) (exists ((Vd996 $$unsorted)) (and (rpoint Vd996) (= Vd996 Vd992))) (exists ((Vd997 $$unsorted)) (and (= Vd997 Vd993) (rpoint Vd997))) (exists ((Vd998 $$unsorted)) (and (rpoint Vd998) (= Vd994 Vd998))) (exists ((Vd1019 $$unsorted)) (and (= Vd1019 Vd1008) (rpoint Vd1019))) (exists ((Vd1026 $$unsorted)) (and (= Vd1015 Vd1026) (rpoint Vd1026))) (rline Vd1028) (ron Vd999 Vd1027) (forall ((Vd1031 $$unsorted) (Vd1032 $$unsorted) (Vd1033 $$unsorted)) (=> (and (rS Vd1033 Vd1001 Vd1027) (not (rR Vd999 Vd1032 Vd1000)) (ron Vd1032 Vd1027) (= (vf Vd1031 Vd1033) (vf Vd992 Vd994)) (= (vf Vd1032 Vd1033) (vf Vd993 Vd994)) (= (vangle Vd1033 Vd1032 Vd1031) (vangle Vd994 Vd993 Vd992)) (= Vd999 Vd1031) (rpoint Vd1032) (rpoint Vd1031) (rpoint Vd1033) (= (vangle Vd1032 Vd1031 Vd1033) (vangle Vd993 Vd992 Vd994)) (= (vangle Vd992 Vd994 Vd993) (vangle Vd1031 Vd1033 Vd1032)) (= (vf Vd1031 Vd1032) (vf Vd992 Vd993))) (and (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009)) (= (vangle Vd1013 Vd1014 Vd1015) (vangle Vd1010 Vd1011 Vd1012))))) (= Vd1027 Vd1028)) (and (= (vangle Vd1013 Vd1014 Vd1015) (vangle Vd1010 Vd1011 Vd1012)) (= (vf Vd1008 Vd1009) (vf Vd1006 Vd1007))))) (forall ((Vd55 $$unsorted) (Vd56 $$unsorted) (Vd57 $$unsorted) (Vd58 $$unsorted)) (=> (and (= Vd55 Vd56) (rline Vd56) (rpoint Vd58) (= Vd57 Vd58) (ron Vd57 Vd55)) (exists ((Vd59 $$unsorted)) (and (rpoint Vd59) (ron Vd59 Vd55) (not (= Vd57 Vd59)))))) (forall ((Vd384 $$unsorted) (Vd385 $$unsorted) (Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (and (exists ((Vd392 $$unsorted)) (and (= Vd392 Vd387) (rpoint Vd392))) (exists ((Vd391 $$unsorted)) (and (= Vd391 Vd386) (rpoint Vd391))) (exists ((Vd390 $$unsorted)) (and (rpoint Vd390) (= Vd385 Vd390))) (exists ((Vd389 $$unsorted)) (and (rpoint Vd389) (= Vd384 Vd389))) (rR Vd385 Vd384 Vd386) (rR Vd386 Vd385 Vd387)) (rR Vd385 Vd384 Vd387))) _let_3 (forall ((Vd159 $$unsorted) (Vd160 $$unsorted) (Vd161 $$unsorted) (Vd162 $$unsorted) (Vd163 $$unsorted) (Vd164 $$unsorted)) (=> (and (= Vd163 Vd164) (rS Vd163 Vd161 Vd159) (rpoint Vd164) (rpoint Vd162) (= Vd159 Vd160) (rline Vd160) (not (ron Vd161 Vd159)) (= Vd162 Vd161)) (exists ((Vd166 $$unsorted)) (and (not (= Vd163 Vd166)) (not (= Vd161 Vd166)) (rS Vd166 Vd161 Vd159) (rpoint Vd166))))) (forall ((Vd647 $$unsorted) (Vd648 $$unsorted) (Vd652 $$unsorted) (Vd653 $$unsorted)) (=> (and (not (exists ((Vd657 $$unsorted)) (rS Vd647 Vd648 Vd657))) (or (rinside Vd648 Vd652) (ron Vd648 Vd652)) (exists ((Vd651 $$unsorted)) (and (= Vd651 Vd648) (rpoint Vd651))) (exists ((Vd650 $$unsorted)) (and (= Vd647 Vd650) (rpoint Vd650))) (exists ((Vd655 $$unsorted)) (and (= Vd655 Vd652) (rcircle Vd655))) (exists ((Vd656 $$unsorted)) (and (rcircle Vd656) (= Vd656 Vd653))) (or (ron Vd647 Vd652) (rinside Vd647 Vd652))) (exists ((Vd659 $$unsorted)) (rintersect Vd659 Vd652)))) (forall ((Vd558 $$unsorted) (Vd559 $$unsorted) (Vd560 $$unsorted) (Vd565 $$unsorted) (Vd566 $$unsorted) (Vd567 $$unsorted) (Vd568 $$unsorted) (Vd577 $$unsorted)) (=> (and (rS Vd567 Vd568 Vd558) (ron Vd568 Vd560) (ron Vd567 Vd559) (exists ((Vd573 $$unsorted)) (and (rpoint Vd573) (= Vd573 Vd568))) (exists ((Vd570 $$unsorted)) (and (rpoint Vd570) (= Vd565 Vd570))) (exists ((Vd564 $$unsorted)) (and (rline Vd564) (= Vd560 Vd564))) (exists ((Vd563 $$unsorted)) (and (= Vd563 Vd559) (rline Vd563))) (exists ((Vd562 $$unsorted)) (and (rline Vd562) (= Vd558 Vd562))) (exists ((Vd571 $$unsorted)) (and (= Vd571 Vd566) (rpoint Vd571))) (exists ((Vd572 $$unsorted)) (and (= Vd567 Vd572) (rpoint Vd572))) (ron Vd565 Vd558) (ron Vd565 Vd559) (ron Vd565 Vd560) (ron Vd566 Vd558) (rS Vd566 Vd567 Vd560) (rS Vd568 Vd577 Vd559) (rS Vd567 Vd577 Vd560)) (rS Vd567 Vd577 Vd558))) (forall ((Vd127 $$unsorted) (Vd128 $$unsorted) (Vd129 $$unsorted) (Vd130 $$unsorted)) (=> (and (not (= Vd129 Vd130)) (ron Vd130 Vd127) (ron Vd129 Vd127) (exists ((Vd132 $$unsorted)) (and (rpoint Vd132) (= Vd129 Vd132))) (rline Vd128) (= Vd128 Vd127) (exists ((Vd133 $$unsorted)) (and (rpoint Vd133) (= Vd130 Vd133)))) (exists ((Vd136 $$unsorted)) (and (rR Vd130 Vd129 Vd136) (rpoint Vd136))))) (forall ((Vd15 $$unsorted) (Vd16 $$unsorted)) (=> (and (rpoint Vd16) (= Vd15 Vd16)) (exists ((Vd17 $$unsorted)) (and (rpoint Vd17) (not (= Vd15 Vd17)))))) (forall ((Vd19 $$unsorted) (Vd20 $$unsorted)) (=> (and (exists ((Vd22 $$unsorted)) (and (= Vd19 Vd22) (rpoint Vd22))) (exists ((Vd23 $$unsorted)) (and (= Vd23 Vd20) (rpoint Vd23)))) (exists ((Vd24 $$unsorted)) (and (not (= Vd19 Vd24)) (rpoint Vd24) (not (= Vd24 Vd20)))))) (forall ((Vd725 $$unsorted) (Vd726 $$unsorted) (Vd727 $$unsorted) (Vd728 $$unsorted) (Vd729 $$unsorted) (Vd730 $$unsorted)) (=> (and (rreal Vd730) (= Vd727 Vd728) (rreal Vd726) (= Vd725 Vd726) (rreal Vd728) (= Vd730 Vd729) (rless Vd725 Vd727)) (rless (vplus Vd725 Vd729) (vplus Vd727 Vd729)))) (= _let_2 (vf vd1085 vd1080)) (forall ((Vd967 $$unsorted) (Vd968 $$unsorted) (Vd969 $$unsorted) (Vd974 $$unsorted) (Vd975 $$unsorted)) (=> (and (ron Vd968 Vd974) (not (= Vd967 Vd968)) (= Vd975 Vd974) (rline Vd975) (exists ((Vd973 $$unsorted)) (and (= Vd969 Vd973) (rpoint Vd973))) (exists ((Vd972 $$unsorted)) (and (= Vd968 Vd972) (rpoint Vd972))) (exists ((Vd971 $$unsorted)) (and (rpoint Vd971) (= Vd971 Vd967))) (ron Vd967 Vd974)) (= (= (vg Vd967 Vd968 Vd969) v0) (ron Vd969 Vd974)))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (not (= Vd1047 Vd1049)) (rpoint Vd1050) (= Vd1048 Vd1047) (rpoint Vd1048) (= Vd1050 Vd1049)) (= (vf Vd1047 Vd1049) (vf Vd1049 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))))) (forall ((Vd694 $$unsorted) (Vd695 $$unsorted) (Vd696 $$unsorted) (Vd697 $$unsorted)) (=> (and (= Vd696 Vd697) (rreal Vd695) (= Vd694 Vd695) (rreal Vd697)) (= (vplus Vd694 Vd696) (vplus Vd696 Vd694)))) (forall ((Vd755 $$unsorted) (Vd756 $$unsorted)) (=> (and (exists ((Vd758 $$unsorted)) (and (= Vd755 Vd758) (rpoint Vd758))) (exists ((Vd759 $$unsorted)) (and (= Vd756 Vd759) (rpoint Vd759)))) (rleq v0 (vf Vd755 Vd756)))) (forall ((Vd828 $$unsorted) (Vd829 $$unsorted) (Vd830 $$unsorted)) (=> (and (rR Vd829 Vd828 Vd830) (exists ((Vd833 $$unsorted)) (and (= Vd829 Vd833) (rpoint Vd833))) (exists ((Vd832 $$unsorted)) (and (= Vd832 Vd828) (rpoint Vd832))) (exists ((Vd834 $$unsorted)) (and (= Vd830 Vd834) (rpoint Vd834)))) (= (vf Vd828 Vd830) (vplus (vf Vd828 Vd829) (vf Vd829 Vd830))))) (forall ((Vd894 $$unsorted) (Vd895 $$unsorted) (Vd896 $$unsorted) (Vd897 $$unsorted) (Vd903 $$unsorted) (Vd904 $$unsorted)) (let ((_let_1 (vangle Vd894 Vd896 Vd897))) (=> (and (not (ron Vd897 Vd903)) (rR Vd896 Vd894 Vd895) (= Vd904 Vd903) (rline Vd904) (exists ((Vd901 $$unsorted)) (and (rpoint Vd901) (= Vd901 Vd896))) (exists ((Vd899 $$unsorted)) (and (rpoint Vd899) (= Vd899 Vd894))) (exists ((Vd900 $$unsorted)) (and (= Vd900 Vd895) (rpoint Vd900))) (exists ((Vd902 $$unsorted)) (and (rpoint Vd902) (= Vd902 Vd897)))) (= (= _let_1 (vangle Vd897 Vd896 Vd895)) (= _let_1 vperp))))) (forall ((Vd191 $$unsorted) (Vd192 $$unsorted)) (=> (and (= Vd191 Vd192) (rcircle Vd192)) (exists ((Vd193 $$unsorted)) (and (ron Vd193 Vd191) (rpoint Vd193))))) (forall ((Vd808 $$unsorted) (Vd809 $$unsorted) (Vd810 $$unsorted) (Vd811 $$unsorted) (Vd812 $$unsorted) (Vd813 $$unsorted)) (=> (and (= (vangle Vd813 Vd811 Vd812) (vangle Vd810 Vd808 Vd809)) (= (vangle Vd812 Vd813 Vd811) (vangle Vd809 Vd810 Vd808)) (= (vangle Vd808 Vd809 Vd810) (vangle Vd811 Vd812 Vd813)) (= (vf Vd810 Vd808) (vf Vd813 Vd811)) (= (vf Vd812 Vd813) (vf Vd809 Vd810)) (= (vf Vd811 Vd812) (vf Vd808 Vd809)) (exists ((Vd820 $$unsorted)) (and (rpoint Vd820) (= Vd820 Vd813))) (exists ((Vd819 $$unsorted)) (and (= Vd819 Vd812) (rpoint Vd819))) (exists ((Vd818 $$unsorted)) (and (= Vd811 Vd818) (rpoint Vd818))) (exists ((Vd817 $$unsorted)) (and (= Vd817 Vd810) (rpoint Vd817))) (exists ((Vd816 $$unsorted)) (and (rpoint Vd816) (= Vd816 Vd809))) (exists ((Vd815 $$unsorted)) (and (= Vd808 Vd815) (rpoint Vd815)))) (= (vg Vd808 Vd809 Vd810) (vg Vd811 Vd812 Vd813)))) (forall ((Vd38 $$unsorted) (Vd39 $$unsorted) (Vd40 $$unsorted) (Vd41 $$unsorted)) (=> (and (exists ((Vd46 $$unsorted)) (and (rpoint Vd46) (= Vd46 Vd41))) (exists ((Vd45 $$unsorted)) (and (rpoint Vd45) (= Vd40 Vd45))) (exists ((Vd43 $$unsorted)) (and (= Vd38 Vd43) (rpoint Vd43))) (exists ((Vd44 $$unsorted)) (and (= Vd44 Vd39) (rpoint Vd44)))) (exists ((Vd47 $$unsorted)) (and (not (= Vd47 Vd40)) (rpoint Vd47) (not (= Vd47 Vd38)) (not (= Vd39 Vd47)) (not (= Vd41 Vd47)))))) (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (=> (and (exists ((Vd745 $$unsorted)) (and (= Vd742 Vd745) (rpoint Vd745))) (exists ((Vd744 $$unsorted)) (and (= Vd744 Vd741) (rpoint Vd744)))) (exists ((Vd747 $$unsorted)) (and (= (vf Vd741 Vd742) Vd747) (rreal Vd747))))) (exists ((Vd1084 $$unsorted)) (and (rpoint Vd1084) (= vd1081 Vd1084))) (forall ((Vd185 $$unsorted) (Vd186 $$unsorted) (Vd187 $$unsorted) (Vd188 $$unsorted)) (=> (and (rpoint Vd188) (= Vd185 Vd186) (rline Vd186) (not (ron Vd187 Vd185)) (= Vd188 Vd187)) (exists ((Vd189 $$unsorted)) (and (not (rS Vd189 Vd187 Vd185)) (rpoint Vd189))))) (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (=> (rcenter Vd334 Vd335) (rinside Vd334 Vd335))) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd364 $$unsorted) (Vd369 $$unsorted) (Vd370 $$unsorted)) (=> (and (exists ((Vd368 $$unsorted)) (and (= Vd364 Vd368) (rpoint Vd368))) (exists ((Vd366 $$unsorted)) (and (= Vd366 Vd362) (rpoint Vd366))) (exists ((Vd367 $$unsorted)) (and (= Vd363 Vd367) (rpoint Vd367))) (rline Vd370) (rR Vd363 Vd362 Vd364) (ron Vd362 Vd369) (ron Vd364 Vd369) (= Vd370 Vd369)) (ron Vd363 Vd369))) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd403 $$unsorted) (Vd404 $$unsorted)) (=> (and (not (= Vd398 Vd397)) (not (= Vd396 Vd398)) (exists ((Vd402 $$unsorted)) (and (rpoint Vd402) (= Vd398 Vd402))) (exists ((Vd401 $$unsorted)) (and (= Vd401 Vd397) (rpoint Vd401))) (exists ((Vd400 $$unsorted)) (and (= Vd400 Vd396) (rpoint Vd400))) (not (= Vd396 Vd397)) (rline Vd404) (ron Vd396 Vd403) (ron Vd397 Vd403) (ron Vd398 Vd403) (= Vd403 Vd404)) (or (rR Vd397 Vd396 Vd398) (rR Vd398 Vd396 Vd397) (rR Vd396 Vd397 Vd398)))) (forall ((Vd420 $$unsorted) (Vd421 $$unsorted) (Vd422 $$unsorted) (Vd423 $$unsorted)) (=> (and (not (ron Vd420 Vd422)) (rline Vd423) (= Vd420 Vd421) (rpoint Vd421) (= Vd423 Vd422)) (rS Vd420 Vd420 Vd422))) _let_1 (forall ((Vd211 $$unsorted) (Vd212 $$unsorted)) (=> (and (= Vd212 Vd211) (rcircle Vd212)) (exists ((Vd213 $$unsorted)) (and (rinside Vd213 Vd211) (rpoint Vd213))))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0.52/0.73 % SZS output end Proof for theBenchmark 0.52/0.73 EOF