0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : do_cvc5 %s %d 0.10/0.30 % Computer : n025.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 05:04:11 EDT 2022 0.10/0.30 % CPUTime : 0.15/0.43 %----Proving TF0_NAR, FOF, or CNF 25.94/26.24 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 25.94/26.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 25.94/26.24 --- Run --no-e-matching --full-saturate-quant at 5... 25.94/26.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 25.94/26.24 --- Run --finite-model-find --uf-ss=no-minimal at 5... 25.94/26.24 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 25.94/26.24 % SZS status Theorem for theBenchmark 25.94/26.24 % SZS output start Proof for theBenchmark 25.94/26.24 (let ((_let_1 (not (= vd1123 vd1129)))) (let ((_let_2 (not (= vd1127 vd1123)))) (let ((_let_3 (and _let_2 _let_1))) (let ((_let_4 (vf vd1123 vskolem1136))) (let ((_let_5 (vf vd1127 vd1129))) (let ((_let_6 (forall ((Vd336 $$unsorted) (Vd337 $$unsorted) (Vd338 $$unsorted) (Vd339 $$unsorted)) (=> (and (= Vd338 Vd339) (rcircle Vd339) (= Vd336 Vd337) (rpoint Vd337) (rinside Vd336 Vd338)) (not (ron Vd336 Vd338)))))) (let ((_let_7 (forall ((Vd706 $$unsorted) (Vd707 $$unsorted) (Vd708 $$unsorted) (Vd709 $$unsorted)) (=> (and (= Vd706 Vd707) (rreal Vd707) (rreal Vd709) (= Vd709 Vd708) (rless Vd706 Vd708)) (or (not (rless Vd708 Vd706)) (= Vd706 Vd708)))))) (let ((_let_8 (= vd1123 vd1127))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not (= vd1129 vd1123)))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (and _let_10 _let_2))) (let ((_let_13 (vf vd1123 vskolem1140))) (let ((_let_14 (rless _let_5 (vf vd1123 vd1125)))) (let ((_let_15 (not (= vd1123 vd1125)))) (let ((_let_16 (= vd1129 vd1130))) (let ((_let_17 (rpoint vd1130))) (let ((_let_18 (= vd1127 vd1128))) (let ((_let_19 (rpoint vd1126))) (let ((_let_20 (= vd1123 vd1124))) (let ((_let_21 (rpoint vd1124))) (let ((_let_22 (rpoint vd1128))) (let ((_let_23 (not (= vd1129 vd1127)))) (let ((_let_24 (and _let_23 _let_22 _let_21 _let_20 _let_19 (= vd1126 vd1125) _let_18 _let_17 _let_16 _let_15 _let_14))) (let ((_let_25 (= v0 vd684))) (let ((_let_26 (and _let_1 _let_9))) (let ((_let_27 (rinside vd1125 vd1146))) (let ((_let_28 (not (not _let_27)))) (let ((_let_29 (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (=> (and (exists ((Vd744 $$unsorted)) (and (rpoint Vd744) (= Vd741 Vd744))) (exists ((Vd745 $$unsorted)) (and (rpoint Vd745) (= Vd745 Vd742)))) (exists ((Vd747 $$unsorted)) (and (= Vd747 (vf Vd741 Vd742)) (rreal Vd747))))))) (let ((_let_30 (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (=> (and (rcenter Vd859 Vd860) (exists ((Vd857 $$unsorted)) (and (rpoint Vd857) (= Vd857 Vd854))) (exists ((Vd858 $$unsorted)) (and (rpoint Vd858) (= Vd855 Vd858))) (ron Vd855 Vd860)) (= (rless (vf Vd859 Vd854) (vf Vd859 Vd855)) (rinside Vd854 Vd860)))))) (let ((_let_31 (rcircle vd1146))) (let ((_let_32 (and (ron vd1129 vd1146) (rcenter vd1123 vd1146) (ron vd1125 vd1145) (ron vd1123 vd1145) _let_31))) (let ((_let_33 (vf vd1124 vd1126))) (let ((_let_34 (vf vd1124 vd1130))) (let ((_let_35 (rless _let_34 _let_33))) (let ((_let_36 (= _let_33 _let_34))) (let ((_let_37 (rless _let_34 _let_34))) (let ((_let_38 (5))) (let ((_let_39 (ASSUME :args (_let_8)))) (let ((_let_40 (ASSUME :args (_let_25)))) (let ((_let_41 (3))) (let ((_let_42 (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_43 (ASSUME :args (_let_24)))) (let ((_let_44 (EQ_RESOLVE _let_43 _let_42))) (let ((_let_45 (EQ_RESOLVE (AND_ELIM _let_44 :args _let_41) (MACRO_SR_EQ_INTRO (AND_INTRO _let_40 _let_39) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (AND_ELIM _let_44 :args _let_38))) (let ((_let_47 (AND_INTRO (AND_ELIM _let_44 :args (8)) (EQ_RESOLVE (AND_ELIM _let_44 :args (6)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_46 _let_45 _let_40 _let_39) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) _let_46 _let_45 _let_40 _let_39))) (let ((_let_48 (EQ_RESOLVE _let_43 (TRANS _let_42 (MACRO_SR_EQ_INTRO _let_47 :args ((and _let_23 _let_22 _let_21 _let_20 _let_19 (= vd1125 vd1126) _let_18 _let_17 _let_16 _let_15 _let_14) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_49 (AND_ELIM _let_48 :args _let_38))) (let ((_let_50 (rless _let_33 _let_34))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_35))) (let ((_let_53 (rreal _let_33))) (let ((_let_54 (not _let_53))) (let ((_let_55 (rreal _let_34))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54 _let_52 _let_51 _let_36))) (let ((_let_58 (forall ((Vd707 $$unsorted) (Vd709 $$unsorted)) (or (not (rreal Vd707)) (not (rreal Vd709)) (not (rless Vd707 Vd709)) (not (rless Vd709 Vd707)) (= Vd707 Vd709))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (rinside vd1126 vd1146))) (let ((_let_61 (= _let_60 _let_50))) (let ((_let_62 (ron vd1130 vd1146))) (let ((_let_63 (not _let_62))) (let ((_let_64 (not _let_17))) (let ((_let_65 (not _let_19))) (let ((_let_66 (rcenter vd1124 vd1146))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65 _let_64 _let_63 _let_61))) (let ((_let_69 (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (or (not (rcenter Vd859 Vd860)) (not (rpoint Vd854)) (not (rpoint Vd855)) (not (ron Vd855 Vd860)) (= (rless (vf Vd859 Vd854) (vf Vd859 Vd855)) (rinside Vd854 Vd860)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (AND_ELIM _let_48 :args _let_41))) (let ((_let_73 (AND_ELIM _let_48 :args (2)))) (let ((_let_74 (1))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO _let_47 :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (AND_ELIM _let_75 :args _let_74))) (let ((_let_77 (AND_ELIM _let_75 :args (0)))) (let ((_let_78 (not _let_21))) (let ((_let_79 (or _let_78 _let_65 _let_53))) (let ((_let_80 (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (or (not (rpoint Vd741)) (not (rpoint Vd742)) (rreal (vf Vd741 Vd742)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((vf Vd741 Vd742)))) (let ((_let_84 (AND_ELIM _let_48 :args _let_74))) (let ((_let_85 (or _let_78 _let_64 _let_55))) (let ((_let_86 (rinside vd1130 vd1146))) (let ((_let_87 (= _let_37 _let_86))) (let ((_let_88 (not _let_37))) (let ((_let_89 (or _let_67 _let_64 _let_64 _let_63 _let_87))) (let ((_let_90 (not _let_86))) (let ((_let_91 (not _let_31))) (let ((_let_92 (or _let_91 _let_64 _let_90 _let_63))) (let ((_let_93 (forall ((Vd337 $$unsorted) (Vd339 $$unsorted)) (or (not (rcircle Vd339)) (not (rpoint Vd337)) (not (rinside Vd337 Vd339)) (not (ron Vd337 Vd339)))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (not _let_36))) (let ((_let_96 (ASSUME :args (_let_88)))) (let ((_let_97 (ASSUME :args (_let_36)))) (let ((_let_98 (ASSUME :args (_let_35)))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_96 _let_97 _let_98) :args (_let_35 _let_36 _let_88)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_98)) (CONG (REFL :args (_let_34)) (SYMM (SYMM _let_97)) :args (APPLY_UF rless)) (FALSE_INTRO _let_96))) :args (_let_88 _let_36 _let_35)) :args ((not (and _let_35 _let_36 _let_88)) SB_LITERAL))) (CONG (REFL :args (_let_52)) (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_37))) :args (OR))) :args ((or _let_52 _let_37 _let_95))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_86 _let_88 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_63 _let_91 _let_64 _let_90 (not _let_92)))) _let_77 (AND_ELIM _let_75 :args (4)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (vd1130 vd1146 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ron Vd337 Vd339) false))))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_90 false _let_62 false _let_31 false _let_17 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_89))) :args ((or _let_63 _let_67 _let_64 _let_87 (not _let_89)))) _let_77 _let_76 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (vd1130 vd1130 vd1124 vd1146 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_70 :args (_let_89 false _let_69)) :args (_let_87 false _let_62 false _let_66 false _let_17 false _let_89)) :args (_let_88 true _let_86 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_52 _let_56 _let_54 _let_51 _let_36 (not _let_57)))) _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_78 _let_64 _let_55 (not _let_85)))) _let_84 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (vd1124 vd1130 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_85 false _let_80)) :args (_let_55 false _let_21 false _let_17 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_65 _let_53 (not _let_79)))) _let_84 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (vd1124 vd1126 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_53 false _let_21 false _let_19 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or (not _let_60) _let_50 (not _let_61)))) (EQ_RESOLVE (ASSUME :args (_let_28)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_47 :args (_let_27 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_63 _let_67 _let_65 _let_64 _let_61 (not _let_68)))) _let_77 _let_76 _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (vd1126 vd1130 vd1124 vd1146 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71))) _let_70 :args (_let_68 false _let_69)) :args (_let_61 false _let_62 false _let_66 false _let_19 false _let_17 false _let_68)) :args (_let_50 false _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_34 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (rless Vd707 Vd709) false))))) :args (_let_58)))) _let_59 :args (_let_57 false _let_58)) :args (_let_36 false _let_35 false _let_55 false _let_53 false _let_50 false _let_57)) _let_49 :args (false true _let_37 false _let_36 false _let_35)) :args ((forall ((Vd694 $$unsorted) (Vd695 $$unsorted) (Vd696 $$unsorted) (Vd697 $$unsorted)) (=> (and (rreal Vd697) (rreal Vd695) (= Vd694 Vd695) (= Vd697 Vd696)) (= (vplus Vd694 Vd696) (vplus Vd696 Vd694)))) (forall ((Vd466 $$unsorted) (Vd467 $$unsorted) (Vd468 $$unsorted) (Vd473 $$unsorted) (Vd474 $$unsorted)) (=> (and (rS Vd466 Vd468 Vd473) (exists ((Vd470 $$unsorted)) (and (rpoint Vd470) (= Vd470 Vd466))) (exists ((Vd471 $$unsorted)) (and (rpoint Vd471) (= Vd467 Vd471))) (exists ((Vd472 $$unsorted)) (and (= Vd472 Vd468) (rpoint Vd472))) (rline Vd474) (= Vd473 Vd474) (rR Vd467 Vd466 Vd468)) (rS Vd466 Vd467 Vd473))) (forall ((Vd967 $$unsorted) (Vd968 $$unsorted) (Vd969 $$unsorted) (Vd974 $$unsorted) (Vd975 $$unsorted)) (=> (and (not (= Vd967 Vd968)) (exists ((Vd971 $$unsorted)) (and (= Vd971 Vd967) (rpoint Vd971))) (exists ((Vd972 $$unsorted)) (and (= Vd972 Vd968) (rpoint Vd972))) (exists ((Vd973 $$unsorted)) (and (= Vd969 Vd973) (rpoint Vd973))) (rline Vd975) (= Vd975 Vd974) (ron Vd967 Vd974) (ron Vd968 Vd974)) (= (ron Vd969 Vd974) (= v0 (vg Vd967 Vd968 Vd969))))) (forall ((Vd170 $$unsorted) (Vd171 $$unsorted) (Vd172 $$unsorted) (Vd173 $$unsorted) (Vd174 $$unsorted) (Vd175 $$unsorted) (Vd177 $$unsorted) (Vd178 $$unsorted)) (=> (and (= Vd172 Vd173) (= Vd174 Vd175) (rS Vd177 Vd172 Vd170) (rpoint Vd178) (rS Vd174 Vd172 Vd170) (rpoint Vd175) (rline Vd171) (= Vd171 Vd170) (rpoint Vd173) (not (ron Vd172 Vd170)) (= Vd178 Vd177)) (exists ((Vd180 $$unsorted)) (and (not (= Vd180 Vd174)) (not (= Vd180 Vd172)) (rpoint Vd180) (rS Vd180 Vd172 Vd170) (not (= Vd180 Vd177)))))) (forall ((Vd594 $$unsorted) (Vd595 $$unsorted) (Vd596 $$unsorted) (Vd601 $$unsorted) (Vd602 $$unsorted) (Vd603 $$unsorted) (Vd604 $$unsorted)) (=> (and (rR Vd596 Vd594 Vd595) (or (rinside Vd595 Vd603) (ron Vd595 Vd603)) (= Vd604 Vd603) (rcircle Vd604) (= Vd601 Vd602) (exists ((Vd598 $$unsorted)) (and (rpoint Vd598) (= Vd598 Vd594))) (exists ((Vd599 $$unsorted)) (and (rpoint Vd599) (= Vd599 Vd595))) (exists ((Vd600 $$unsorted)) (and (= Vd600 Vd596) (rpoint Vd600))) (rline Vd602) (or (ron Vd594 Vd603) (rinside Vd594 Vd603))) (rinside Vd596 Vd603))) (forall ((Vd238 $$unsorted) (Vd239 $$unsorted) (Vd240 $$unsorted) (Vd241 $$unsorted)) (=> (and (rintersect Vd240 Vd238) (rcircle Vd239) (= Vd239 Vd238) (rline Vd241) (= Vd241 Vd240)) (exists ((Vd242 $$unsorted)) (and (ron Vd242 Vd238) (ron Vd242 Vd240) (rpoint Vd242))))) (forall ((Vd685 $$unsorted) (Vd686 $$unsorted) (Vd687 $$unsorted) (Vd688 $$unsorted)) (=> (and (rreal Vd686) (= Vd685 Vd686) (rreal Vd688) (= Vd688 Vd687)) (exists ((Vd690 $$unsorted)) (and (rreal Vd690) (= Vd690 (vplus Vd685 Vd687)))))) (forall ((Vd138 $$unsorted) (Vd139 $$unsorted) (Vd140 $$unsorted) (Vd141 $$unsorted) (Vd146 $$unsorted) (Vd147 $$unsorted)) (=> (and (ron Vd141 Vd138) (exists ((Vd144 $$unsorted)) (and (rpoint Vd144) (= Vd141 Vd144))) (rline Vd139) (= Vd138 Vd139) (exists ((Vd143 $$unsorted)) (and (rpoint Vd143) (= Vd140 Vd143))) (ron Vd140 Vd138) (rpoint Vd147) (rR Vd141 Vd140 Vd146) (= Vd146 Vd147)) (exists ((Vd149 $$unsorted)) (and (rR Vd141 Vd140 Vd149) (rpoint Vd149) (not (= Vd149 Vd146)))))) _let_32 (forall ((Vd263 $$unsorted) (Vd264 $$unsorted) (Vd265 $$unsorted) (Vd266 $$unsorted) (Vd267 $$unsorted) (Vd268 $$unsorted) (Vd269 $$unsorted) (Vd270 $$unsorted)) (=> (and (rpoint Vd270) (rinside Vd267 Vd263) (= Vd267 Vd268) (= Vd265 Vd266) (rline Vd266) (rcircle Vd264) (= Vd264 Vd263) (rpoint Vd268) (ron Vd267 Vd265) (= Vd269 Vd270) (ron Vd269 Vd265) (not (= Vd267 Vd269))) (exists ((Vd272 $$unsorted)) (and (rR Vd267 Vd272 Vd269) (ron Vd272 Vd265) (rpoint Vd272) (ron Vd272 Vd263))))) (=> (and _let_9 _let_10) (and (rcenter vd1123 vskolem1139) (rcircle vskolem1139) (ron vd1123 vskolem1138) (ron vd1125 vskolem1138) (ron vskolem1136 vskolem1139))) (forall ((Vd733 $$unsorted) (Vd734 $$unsorted) (Vd735 $$unsorted) (Vd736 $$unsorted) (Vd737 $$unsorted) (Vd738 $$unsorted)) (=> (and (= (vplus Vd735 Vd737) (vplus Vd733 Vd737)) (= Vd737 Vd738) (= Vd735 Vd736) (rreal Vd736) (= Vd733 Vd734) (rreal Vd734) (rreal Vd738)) (= Vd733 Vd735))) (forall ((Vd425 $$unsorted) (Vd426 $$unsorted) (Vd430 $$unsorted) (Vd431 $$unsorted)) (=> (and (rS Vd425 Vd426 Vd430) (exists ((Vd429 $$unsorted)) (and (= Vd426 Vd429) (rpoint Vd429))) (exists ((Vd428 $$unsorted)) (and (= Vd428 Vd425) (rpoint Vd428))) (rline Vd431) (= Vd431 Vd430)) (rS Vd426 Vd425 Vd430))) (forall ((Vd767 $$unsorted) (Vd768 $$unsorted) (Vd769 $$unsorted)) (=> (and (not (= Vd768 Vd767)) (exists ((Vd773 $$unsorted)) (and (rpoint Vd773) (= Vd773 Vd769))) (exists ((Vd772 $$unsorted)) (and (= Vd768 Vd772) (rpoint Vd772))) (exists ((Vd771 $$unsorted)) (and (= Vd771 Vd767) (rpoint Vd771))) (not (= Vd767 Vd769))) (= (vangle Vd767 Vd768 Vd769) (vangle Vd769 Vd768 Vd767)))) (forall ((Vd211 $$unsorted) (Vd212 $$unsorted)) (=> (and (rcircle Vd212) (= Vd212 Vd211)) (exists ((Vd213 $$unsorted)) (and (rpoint Vd213) (rinside Vd213 Vd211))))) (forall ((Vd786 $$unsorted) (Vd787 $$unsorted)) (=> (and (exists ((Vd790 $$unsorted)) (and (rpoint Vd790) (= Vd790 Vd787))) (exists ((Vd789 $$unsorted)) (and (= Vd789 Vd786) (rpoint Vd789)))) (= v0 (vg Vd786 Vd786 Vd787)))) _let_30 (forall ((Vd799 $$unsorted) (Vd800 $$unsorted) (Vd801 $$unsorted)) (let ((_let_1 (vg Vd799 Vd800 Vd801))) (=> (and (exists ((Vd803 $$unsorted)) (and (= Vd803 Vd799) (rpoint Vd803))) (exists ((Vd804 $$unsorted)) (and (= Vd800 Vd804) (rpoint Vd804))) (exists ((Vd805 $$unsorted)) (and (rpoint Vd805) (= Vd805 Vd801)))) (and (= (vg Vd801 Vd799 Vd800) _let_1) (= (vg Vd799 Vd801 Vd800) _let_1))))) (forall ((Vd84 $$unsorted) (Vd85 $$unsorted) (Vd86 $$unsorted) (Vd87 $$unsorted)) (=> (and (not (= Vd86 Vd87)) (ron Vd87 Vd84) (ron Vd86 Vd84) (exists ((Vd89 $$unsorted)) (and (= Vd86 Vd89) (rpoint Vd89))) (= Vd85 Vd84) (rline Vd85) (exists ((Vd90 $$unsorted)) (and (= Vd87 Vd90) (rpoint Vd90)))) (exists ((Vd93 $$unsorted)) (and (rpoint Vd93) (rR Vd93 Vd86 Vd87))))) (forall ((Vd194 $$unsorted) (Vd195 $$unsorted) (Vd196 $$unsorted) (Vd197 $$unsorted)) (=> (and (= Vd196 Vd197) (rpoint Vd197) (= Vd194 Vd195) (rcircle Vd195) (ron Vd196 Vd194)) (exists ((Vd198 $$unsorted)) (and (not (= Vd196 Vd198)) (ron Vd198 Vd194) (rpoint Vd198))))) (=> _let_3 (ron vskolem1140 vskolem1138)) (forall ((Vd478 $$unsorted) (Vd479 $$unsorted) (Vd480 $$unsorted) (Vd485 $$unsorted) (Vd486 $$unsorted)) (=> (and (ron Vd478 Vd485) (rR Vd479 Vd478 Vd480) (exists ((Vd482 $$unsorted)) (and (rpoint Vd482) (= Vd482 Vd478))) (exists ((Vd483 $$unsorted)) (and (rpoint Vd483) (= Vd483 Vd479))) (exists ((Vd484 $$unsorted)) (and (rpoint Vd484) (= Vd480 Vd484))) (rline Vd486) (= Vd485 Vd486) (not (ron Vd479 Vd485))) (rS Vd479 Vd480 Vd485))) (forall ((Vd442 $$unsorted) (Vd443 $$unsorted) (Vd444 $$unsorted) (Vd449 $$unsorted) (Vd450 $$unsorted)) (=> (and (rS Vd442 Vd444 Vd449) (= Vd450 Vd449) (exists ((Vd448 $$unsorted)) (and (= Vd444 Vd448) (rpoint Vd448))) (exists ((Vd447 $$unsorted)) (and (= Vd447 Vd443) (rpoint Vd447))) (exists ((Vd446 $$unsorted)) (and (rpoint Vd446) (= Vd446 Vd442))) (rline Vd450) (rS Vd442 Vd443 Vd449)) (rS Vd443 Vd444 Vd449))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (let ((_let_1 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))) (=> (and (= Vd1049 Vd1050) (not (= Vd1047 Vd1049)) (rpoint Vd1048) (= Vd1048 Vd1047) (rpoint Vd1050)) (= (vf Vd1049 _let_1) (vf _let_1 Vd1047))))) (forall ((Vd214 $$unsorted) (Vd215 $$unsorted)) (=> (and (rcircle Vd215) (= Vd215 Vd214)) (exists ((Vd216 $$unsorted)) (and (not (ron Vd216 Vd214)) (rpoint Vd216) (not (rinside Vd216 Vd214)))))) (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (=> (and (exists ((Vd751 $$unsorted)) (and (= Vd748 Vd751) (rpoint Vd751))) (exists ((Vd752 $$unsorted)) (and (rpoint Vd752) (= Vd752 Vd749)))) (= (= Vd748 Vd749) (= (vf Vd748 Vd749) v0)))) (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (=> (and (ron Vd315 Vd320) (ron Vd315 Vd319) (ron Vd314 Vd320) (ron Vd314 Vd319) (exists ((Vd324 $$unsorted)) (and (rline Vd324) (= Vd324 Vd320))) (exists ((Vd323 $$unsorted)) (and (rline Vd323) (= Vd319 Vd323))) (not (= Vd315 Vd314)) (exists ((Vd317 $$unsorted)) (and (rpoint Vd317) (= Vd314 Vd317))) (exists ((Vd318 $$unsorted)) (and (rpoint Vd318) (= Vd318 Vd315)))) (= Vd320 Vd319))) (forall ((Vd408 $$unsorted) (Vd409 $$unsorted) (Vd410 $$unsorted) (Vd411 $$unsorted)) (=> (and (rR Vd409 Vd408 Vd411) (exists ((Vd415 $$unsorted)) (and (= Vd415 Vd410) (rpoint Vd415))) (exists ((Vd414 $$unsorted)) (and (rpoint Vd414) (= Vd409 Vd414))) (exists ((Vd413 $$unsorted)) (and (rpoint Vd413) (= Vd408 Vd413))) (exists ((Vd416 $$unsorted)) (and (rpoint Vd416) (= Vd416 Vd411))) (rR Vd409 Vd408 Vd410)) (not (rR Vd409 Vd410 Vd411)))) (=> _let_12 (= _let_13 _let_5)) (forall ((Vd372 $$unsorted) (Vd373 $$unsorted) (Vd374 $$unsorted) (Vd375 $$unsorted)) (=> (and (rR Vd375 Vd372 Vd373) (exists ((Vd380 $$unsorted)) (and (= Vd375 Vd380) (rpoint Vd380))) (exists ((Vd377 $$unsorted)) (and (rpoint Vd377) (= Vd377 Vd372))) (exists ((Vd378 $$unsorted)) (and (rpoint Vd378) (= Vd373 Vd378))) (exists ((Vd379 $$unsorted)) (and (= Vd379 Vd374) (rpoint Vd379))) (rR Vd373 Vd372 Vd374)) (rR Vd375 Vd372 Vd374))) (forall ((Vd761 $$unsorted) (Vd762 $$unsorted)) (=> (and (exists ((Vd765 $$unsorted)) (and (= Vd765 Vd762) (rpoint Vd765))) (exists ((Vd764 $$unsorted)) (and (= Vd761 Vd764) (rpoint Vd764)))) (= (vf Vd761 Vd762) (vf Vd762 Vd761)))) _let_29 _let_28 _let_8 (forall ((Vd647 $$unsorted) (Vd648 $$unsorted) (Vd652 $$unsorted) (Vd653 $$unsorted)) (=> (and (not (exists ((Vd657 $$unsorted)) (rS Vd647 Vd648 Vd657))) (or (ron Vd648 Vd652) (rinside Vd648 Vd652)) (or (ron Vd647 Vd652) (rinside Vd647 Vd652)) (exists ((Vd655 $$unsorted)) (and (= Vd652 Vd655) (rcircle Vd655))) (exists ((Vd651 $$unsorted)) (and (rpoint Vd651) (= Vd648 Vd651))) (exists ((Vd650 $$unsorted)) (and (rpoint Vd650) (= Vd650 Vd647))) (exists ((Vd656 $$unsorted)) (and (rcircle Vd656) (= Vd653 Vd656)))) (exists ((Vd659 $$unsorted)) (rintersect Vd659 Vd652)))) (forall ((Vd95 $$unsorted) (Vd96 $$unsorted) (Vd97 $$unsorted) (Vd98 $$unsorted) (Vd99 $$unsorted)) (=> (and (rR Vd99 Vd97 Vd98) (ron Vd98 Vd95) (exists ((Vd103 $$unsorted)) (and (= Vd99 Vd103) (rpoint Vd103))) (rline Vd96) (= Vd96 Vd95) (exists ((Vd101 $$unsorted)) (and (= Vd101 Vd97) (rpoint Vd101))) (exists ((Vd102 $$unsorted)) (and (= Vd102 Vd98) (rpoint Vd102))) (ron Vd97 Vd95)) (exists ((Vd106 $$unsorted)) (and (not (= Vd99 Vd106)) (rR Vd106 Vd97 Vd98) (rpoint Vd106))))) (forall ((Vd666 $$unsorted) (Vd667 $$unsorted) (Vd671 $$unsorted) (Vd672 $$unsorted)) (=> (and (ron Vd666 Vd671) (exists ((Vd675 $$unsorted)) (and (= Vd675 Vd672) (rcircle Vd675))) (exists ((Vd674 $$unsorted)) (and (= Vd671 Vd674) (rcircle Vd674))) (exists ((Vd669 $$unsorted)) (and (= Vd666 Vd669) (rpoint Vd669))) (exists ((Vd670 $$unsorted)) (and (rpoint Vd670) (= Vd670 Vd667))) (or (rinside Vd667 Vd671) (ron Vd667 Vd671)) (rinside Vd666 Vd672) (not (ron Vd667 Vd672)) (not (rinside Vd667 Vd672))) (rintersect Vd671 Vd672))) (forall ((Vd420 $$unsorted) (Vd421 $$unsorted) (Vd422 $$unsorted) (Vd423 $$unsorted)) (=> (and (= Vd423 Vd422) (rline Vd423) (rpoint Vd421) (= Vd421 Vd420) (not (ron Vd420 Vd422))) (rS Vd420 Vd420 Vd422))) (forall ((Vd755 $$unsorted) (Vd756 $$unsorted)) (=> (and (exists ((Vd759 $$unsorted)) (and (= Vd756 Vd759) (rpoint Vd759))) (exists ((Vd758 $$unsorted)) (and (rpoint Vd758) (= Vd755 Vd758)))) (rleq v0 (vf Vd755 Vd756)))) (forall ((Vd992 $$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 $$unsorted)) (=> (and (forall ((Vd1031 $$unsorted) (Vd1032 $$unsorted) (Vd1033 $$unsorted)) (=> (and (rS Vd1033 Vd1001 Vd1027) (= (vf Vd993 Vd994) (vf Vd1032 Vd1033)) (= (vangle Vd1031 Vd1033 Vd1032) (vangle Vd992 Vd994 Vd993)) (= (vangle Vd994 Vd993 Vd992) (vangle Vd1033 Vd1032 Vd1031)) (rpoint Vd1032) (rpoint Vd1031) (rpoint Vd1033) (= Vd1031 Vd999) (= (vangle Vd993 Vd992 Vd994) (vangle Vd1032 Vd1031 Vd1033)) (= (vf Vd992 Vd993) (vf Vd1031 Vd1032)) (= (vf Vd1031 Vd1033) (vf Vd992 Vd994)) (ron Vd1032 Vd1027) (not (rR Vd999 Vd1032 Vd1000))) (and (= (vangle Vd1010 Vd1011 Vd1012) (vangle Vd1013 Vd1014 Vd1015)) (= (vf Vd1008 Vd1009) (vf Vd1006 Vd1007))))) (ron Vd999 Vd1027) (rline Vd1028) (exists ((Vd1026 $$unsorted)) (and (rpoint Vd1026) (= Vd1015 Vd1026))) (exists ((Vd1024 $$unsorted)) (and (= Vd1013 Vd1024) (rpoint Vd1024))) (exists ((Vd1022 $$unsorted)) (and (= Vd1011 Vd1022) (rpoint Vd1022))) (exists ((Vd1021 $$unsorted)) (and (= Vd1010 Vd1021) (rpoint Vd1021))) (exists ((Vd1019 $$unsorted)) (and (rpoint Vd1019) (= Vd1008 Vd1019))) (exists ((Vd1005 $$unsorted)) (and (rpoint Vd1005) (= Vd1005 Vd1001))) (exists ((Vd1003 $$unsorted)) (and (rpoint Vd1003) (= Vd1003 Vd999))) (not (= Vd994 Vd993)) (not (= Vd992 Vd993)) (exists ((Vd998 $$unsorted)) (and (rpoint Vd998) (= Vd994 Vd998))) (exists ((Vd996 $$unsorted)) (and (= Vd996 Vd992) (rpoint Vd996))) (exists ((Vd997 $$unsorted)) (and (rpoint Vd997) (= Vd993 Vd997))) (not (= Vd994 Vd992)) (exists ((Vd1004 $$unsorted)) (and (rpoint Vd1004) (= Vd1000 Vd1004))) (exists ((Vd1017 $$unsorted)) (and (= Vd1006 Vd1017) (rpoint Vd1017))) (exists ((Vd1018 $$unsorted)) (and (rpoint Vd1018) (= Vd1018 Vd1007))) (exists ((Vd1020 $$unsorted)) (and (= Vd1020 Vd1009) (rpoint Vd1020))) (exists ((Vd1023 $$unsorted)) (and (= Vd1012 Vd1023) (rpoint Vd1023))) (exists ((Vd1025 $$unsorted)) (and (= Vd1014 Vd1025) (rpoint Vd1025))) (ron Vd1000 Vd1027) (not (ron Vd1001 Vd1027)) (= Vd1027 Vd1028)) (and (= (vangle Vd1013 Vd1014 Vd1015) (vangle Vd1010 Vd1011 Vd1012)) (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009))))) (forall ((Vd191 $$unsorted) (Vd192 $$unsorted)) (=> (and (= Vd192 Vd191) (rcircle Vd192)) (exists ((Vd193 $$unsorted)) (and (rpoint Vd193) (ron Vd193 Vd191))))) (forall ((Vd55 $$unsorted) (Vd56 $$unsorted) (Vd57 $$unsorted) (Vd58 $$unsorted)) (=> (and (ron Vd57 Vd55) (rpoint Vd58) (rline Vd56) (= Vd56 Vd55) (= Vd57 Vd58)) (exists ((Vd59 $$unsorted)) (and (not (= Vd59 Vd57)) (rpoint Vd59) (ron Vd59 Vd55))))) (forall ((Vd384 $$unsorted) (Vd385 $$unsorted) (Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (and (rR Vd386 Vd385 Vd387) (rR Vd385 Vd384 Vd386) (exists ((Vd390 $$unsorted)) (and (= Vd390 Vd385) (rpoint Vd390))) (exists ((Vd389 $$unsorted)) (and (rpoint Vd389) (= Vd389 Vd384))) (exists ((Vd391 $$unsorted)) (and (rpoint Vd391) (= Vd386 Vd391))) (exists ((Vd392 $$unsorted)) (and (= Vd387 Vd392) (rpoint Vd392)))) (rR Vd385 Vd384 Vd387))) (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (=> (and (exists ((Vd220 $$unsorted)) (and (= Vd220 Vd217) (rpoint Vd220))) (exists ((Vd221 $$unsorted)) (and (= Vd218 Vd221) (rpoint Vd221))) (not (= Vd217 Vd218))) (exists ((Vd223 $$unsorted)) (and (ron Vd217 Vd223) (rline Vd223) (ron Vd218 Vd223))))) (forall ((Vd225 $$unsorted) (Vd226 $$unsorted)) (=> (and (exists ((Vd229 $$unsorted)) (and (rpoint Vd229) (= Vd225 Vd229))) (exists ((Vd230 $$unsorted)) (and (rpoint Vd230) (= Vd226 Vd230))) (not (= Vd225 Vd226))) (exists ((Vd231 $$unsorted)) (and (rcircle Vd231) (rcenter Vd225 Vd231) (ron Vd226 Vd231))))) (forall ((Vd109 $$unsorted) (Vd110 $$unsorted) (Vd111 $$unsorted) (Vd112 $$unsorted) (Vd113 $$unsorted) (Vd114 $$unsorted)) (=> (and (rR Vd114 Vd111 Vd112) (rR Vd113 Vd111 Vd112) (ron Vd112 Vd109) (ron Vd111 Vd109) (rline Vd110) (= Vd109 Vd110) (exists ((Vd116 $$unsorted)) (and (rpoint Vd116) (= Vd116 Vd111))) (exists ((Vd117 $$unsorted)) (and (= Vd112 Vd117) (rpoint Vd117))) (exists ((Vd118 $$unsorted)) (and (= Vd118 Vd113) (rpoint Vd118))) (exists ((Vd119 $$unsorted)) (and (= Vd114 Vd119) (rpoint Vd119))) (ron Vd113 Vd109)) (exists ((Vd123 $$unsorted)) (and (not (= Vd123 Vd113)) (rpoint Vd123) (rR Vd123 Vd111 Vd112) (not (= Vd123 Vd114)))))) (=> _let_26 (not (rinside vd1125 vskolem1139))) (=> _let_26 (rR vskolem1140 vd1123 vd1125)) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd364 $$unsorted) (Vd369 $$unsorted) (Vd370 $$unsorted)) (=> (and (ron Vd362 Vd369) (exists ((Vd367 $$unsorted)) (and (rpoint Vd367) (= Vd367 Vd363))) (exists ((Vd366 $$unsorted)) (and (= Vd366 Vd362) (rpoint Vd366))) (exists ((Vd368 $$unsorted)) (and (= Vd364 Vd368) (rpoint Vd368))) (rline Vd370) (rR Vd363 Vd362 Vd364) (ron Vd364 Vd369) (= Vd370 Vd369)) (ron Vd363 Vd369))) (forall ((Vd5 $$unsorted) (Vd6 $$unsorted) (Vd7 $$unsorted) (Vd9 $$unsorted)) (=> (and (= Vd9 (vtriangle Vd5 Vd6 Vd7)) (rtriangle Vd9)) (and (not (= Vd7 Vd6)) (exists ((Vd13 $$unsorted)) (and (rpoint Vd13) (= Vd7 Vd13))) (exists ((Vd11 $$unsorted)) (and (rpoint Vd11) (= Vd5 Vd11))) (exists ((Vd12 $$unsorted)) (and (= Vd6 Vd12) (rpoint Vd12))) (not (= Vd6 Vd5)) (not (= Vd5 Vd7))))) (forall ((Vd15 $$unsorted) (Vd16 $$unsorted)) (=> (and (rpoint Vd16) (= Vd16 Vd15)) (exists ((Vd17 $$unsorted)) (and (not (= Vd17 Vd15)) (rpoint Vd17))))) (forall ((Vd581 $$unsorted) (Vd582 $$unsorted) (Vd583 $$unsorted) (Vd588 $$unsorted) (Vd589 $$unsorted) (Vd590 $$unsorted) (Vd591 $$unsorted)) (=> (and (ron Vd583 Vd590) (ron Vd582 Vd590) (rcircle Vd591) (= Vd589 Vd588) (exists ((Vd586 $$unsorted)) (and (= Vd582 Vd586) (rpoint Vd586))) (exists ((Vd585 $$unsorted)) (and (rpoint Vd585) (= Vd585 Vd581))) (exists ((Vd587 $$unsorted)) (and (= Vd587 Vd583) (rpoint Vd587))) (rline Vd589) (= Vd590 Vd591) (ron Vd581 Vd588) (ron Vd582 Vd588) (ron Vd583 Vd588) (rinside Vd581 Vd590) (not (= Vd582 Vd583))) (rR Vd581 Vd582 Vd583))) (forall ((Vd699 $$unsorted) (Vd700 $$unsorted) (Vd701 $$unsorted) (Vd702 $$unsorted)) (=> (and (rreal Vd700) (= Vd699 Vd700) (rreal Vd702) (= Vd701 Vd702)) (or (= Vd701 Vd699) (rless Vd701 Vd699) (rless Vd699 Vd701)))) (forall ((Vd636 $$unsorted) (Vd637 $$unsorted) (Vd641 $$unsorted) (Vd642 $$unsorted) (Vd644 $$unsorted) (Vd645 $$unsorted)) (=> (and (= Vd641 Vd642) (= Vd645 Vd644) (rline Vd642) (exists ((Vd640 $$unsorted)) (and (= Vd637 Vd640) (rpoint Vd640))) (exists ((Vd639 $$unsorted)) (and (rpoint Vd639) (= Vd639 Vd636))) (not (rS Vd636 Vd637 Vd641)) (rline Vd645) (ron Vd636 Vd644) (ron Vd637 Vd644)) (rintersect Vd641 Vd644))) (forall ((Vd352 $$unsorted) (Vd353 $$unsorted) (Vd354 $$unsorted) (Vd359 $$unsorted) (Vd360 $$unsorted)) (=> (and (ron Vd352 Vd359) (exists ((Vd357 $$unsorted)) (and (= Vd357 Vd353) (rpoint Vd357))) (exists ((Vd356 $$unsorted)) (and (= Vd356 Vd352) (rpoint Vd356))) (exists ((Vd358 $$unsorted)) (and (= Vd358 Vd354) (rpoint Vd358))) (rline Vd360) (rR Vd353 Vd352 Vd354) (ron Vd353 Vd359) (= Vd360 Vd359)) (ron Vd354 Vd359))) (forall ((Vd280 $$unsorted) (Vd281 $$unsorted)) (=> (and (rintersect Vd280 Vd281) (exists ((Vd284 $$unsorted)) (and (= Vd281 Vd284) (rcircle Vd284))) (exists ((Vd283 $$unsorted)) (and (rcircle Vd283) (= Vd283 Vd280)))) (exists ((Vd285 $$unsorted) (Vd286 $$unsorted)) (and (not (= Vd285 Vd286)) (ron Vd286 Vd281) (ron Vd286 Vd280) (ron Vd285 Vd281) (ron Vd285 Vd280) (rpoint Vd285) (rpoint Vd286))))) (forall ((Vd558 $$unsorted) (Vd559 $$unsorted) (Vd560 $$unsorted) (Vd565 $$unsorted) (Vd566 $$unsorted) (Vd567 $$unsorted) (Vd568 $$unsorted) (Vd577 $$unsorted)) (=> (and (rS Vd566 Vd567 Vd560) (ron Vd567 Vd559) (ron Vd566 Vd558) (ron Vd565 Vd558) (exists ((Vd570 $$unsorted)) (and (= Vd565 Vd570) (rpoint Vd570))) (exists ((Vd563 $$unsorted)) (and (rline Vd563) (= Vd563 Vd559))) (exists ((Vd562 $$unsorted)) (and (= Vd562 Vd558) (rline Vd562))) (exists ((Vd564 $$unsorted)) (and (= Vd560 Vd564) (rline Vd564))) (exists ((Vd571 $$unsorted)) (and (= Vd566 Vd571) (rpoint Vd571))) (exists ((Vd572 $$unsorted)) (and (= Vd572 Vd567) (rpoint Vd572))) (exists ((Vd573 $$unsorted)) (and (= Vd568 Vd573) (rpoint Vd573))) (ron Vd565 Vd559) (ron Vd565 Vd560) (ron Vd568 Vd560) (rS Vd567 Vd568 Vd558) (rS Vd568 Vd577 Vd559) (rS Vd567 Vd577 Vd560)) (rS Vd567 Vd577 Vd558))) _let_25 (forall ((Vd616 $$unsorted) (Vd617 $$unsorted) (Vd622 $$unsorted) (Vd623 $$unsorted) (Vd630 $$unsorted) (Vd631 $$unsorted) (Vd632 $$unsorted) (Vd633 $$unsorted)) (=> (and (rcenter Vd631 Vd617) (ron Vd623 Vd617) (ron Vd623 Vd616) (ron Vd622 Vd616) (exists ((Vd625 $$unsorted)) (and (= Vd625 Vd622) (rpoint Vd625))) (exists ((Vd619 $$unsorted)) (and (= Vd619 Vd616) (rcircle Vd619))) (exists ((Vd620 $$unsorted)) (and (= Vd620 Vd617) (rcircle Vd620))) (not (= Vd616 Vd617)) (rintersect Vd616 Vd617) (exists ((Vd626 $$unsorted)) (and (= Vd623 Vd626) (rpoint Vd626))) (ron Vd622 Vd617) (not (= Vd623 Vd622)) (rcenter Vd630 Vd616) (rline Vd633) (= Vd633 Vd632) (ron Vd630 Vd632) (ron Vd631 Vd632)) (not (rS Vd622 Vd623 Vd632)))) (forall ((Vd200 $$unsorted) (Vd201 $$unsorted) (Vd202 $$unsorted) (Vd203 $$unsorted)) (=> (and (ron Vd202 Vd200) (= Vd200 Vd201) (rcircle Vd201) (exists ((Vd205 $$unsorted)) (and (rpoint Vd205) (= Vd202 Vd205))) (exists ((Vd206 $$unsorted)) (and (rpoint Vd206) (= Vd203 Vd206))) (ron Vd203 Vd200)) (exists ((Vd208 $$unsorted)) (and (not (= Vd208 Vd203)) (not (= Vd208 Vd202)) (rpoint Vd208) (ron Vd208 Vd200))))) (=> _let_11 (rpoint vskolem1136)) (forall ((Vd253 $$unsorted) (Vd254 $$unsorted) (Vd255 $$unsorted) (Vd256 $$unsorted) (Vd257 $$unsorted) (Vd258 $$unsorted) (Vd259 $$unsorted) (Vd260 $$unsorted)) (=> (and (ron Vd259 Vd255) (not (ron Vd259 Vd253)) (not (rinside Vd259 Vd253)) (= Vd259 Vd260) (rpoint Vd260) (= Vd257 Vd258) (= Vd256 Vd255) (= Vd254 Vd253) (rcircle Vd254) (rline Vd256) (rpoint Vd258) (rinside Vd257 Vd253) (ron Vd257 Vd255)) (exists ((Vd261 $$unsorted)) (and (ron Vd261 Vd255) (rpoint Vd261) (ron Vd261 Vd253) (rR Vd261 Vd257 Vd259))))) (forall ((Vd185 $$unsorted) (Vd186 $$unsorted) (Vd187 $$unsorted) (Vd188 $$unsorted)) (=> (and (rpoint Vd188) (rline Vd186) (= Vd186 Vd185) (not (ron Vd187 Vd185)) (= Vd188 Vd187)) (exists ((Vd189 $$unsorted)) (and (not (rS Vd189 Vd187 Vd185)) (rpoint Vd189))))) (forall ((Vd288 $$unsorted) (Vd289 $$unsorted) (Vd293 $$unsorted) (Vd294 $$unsorted) (Vd295 $$unsorted) (Vd296 $$unsorted) (Vd298 $$unsorted)) (=> (and (ron Vd296 Vd293) (ron Vd295 Vd293) (rcenter Vd296 Vd289) (exists ((Vd292 $$unsorted)) (and (= Vd289 Vd292) (rcircle Vd292))) (exists ((Vd291 $$unsorted)) (and (rcircle Vd291) (= Vd288 Vd291))) (rline Vd294) (= Vd293 Vd294) (rintersect Vd288 Vd289) (rcenter Vd295 Vd288) (not (ron Vd298 Vd293))) (exists ((Vd299 $$unsorted)) (and (ron Vd299 Vd289) (ron Vd299 Vd288) (rpoint Vd299) (rS Vd299 Vd298 Vd293))))) (forall ((Vd933 $$unsorted) (Vd934 $$unsorted) (Vd935 $$unsorted) (Vd936 $$unsorted) (Vd937 $$unsorted) (Vd944 $$unsorted) (Vd945 $$unsorted) (Vd946 $$unsorted)) (=> (and (rS Vd933 Vd936 Vd945) (ron Vd935 Vd946) (ron Vd934 Vd944) (ron Vd933 Vd944) (exists ((Vd950 $$unsorted)) (and (= Vd946 Vd950) (rline Vd950))) (exists ((Vd949 $$unsorted)) (and (rline Vd949) (= Vd949 Vd945))) (exists ((Vd948 $$unsorted)) (and (= Vd948 Vd944) (rline Vd948))) (exists ((Vd943 $$unsorted)) (and (rpoint Vd943) (= Vd937 Vd943))) (exists ((Vd939 $$unsorted)) (and (= Vd939 Vd933) (rpoint Vd939))) (exists ((Vd940 $$unsorted)) (and (= Vd934 Vd940) (rpoint Vd940))) (exists ((Vd941 $$unsorted)) (and (= Vd941 Vd935) (rpoint Vd941))) (exists ((Vd942 $$unsorted)) (and (= Vd942 Vd936) (rpoint Vd942))) (ron Vd934 Vd945) (ron Vd935 Vd945) (ron Vd936 Vd946) (not (= Vd934 Vd935)) (rless (vplus (vangle Vd933 Vd934 Vd935) (vangle Vd934 Vd935 Vd936)) (vplus vperp vperp))) (and (=> (and (ron Vd937 Vd944) (ron Vd937 Vd945)) (rS Vd937 Vd933 Vd945)) (rintersect Vd944 Vd945)))) (forall ((Vd52 $$unsorted) (Vd53 $$unsorted)) (=> (and (= Vd53 Vd52) (rline Vd53)) (exists ((Vd54 $$unsorted)) (and (rpoint Vd54) (ron Vd54 Vd52))))) (forall ((Vd691 $$unsorted) (Vd692 $$unsorted)) (=> (and (rreal Vd692) (= Vd691 Vd692)) (= Vd691 (vplus Vd691 v0)))) (forall ((Vd61 $$unsorted) (Vd62 $$unsorted) (Vd63 $$unsorted) (Vd64 $$unsorted) (Vd65 $$unsorted) (Vd66 $$unsorted)) (=> (and (ron Vd65 Vd61) (rpoint Vd66) (= Vd61 Vd62) (rline Vd62) (rpoint Vd64) (= Vd63 Vd64) (= Vd66 Vd65) (ron Vd63 Vd61)) (exists ((Vd68 $$unsorted)) (and (rpoint Vd68) (ron Vd68 Vd61) (not (= Vd63 Vd68)) (not (= Vd68 Vd65)))))) (forall ((Vd716 $$unsorted) (Vd717 $$unsorted) (Vd718 $$unsorted) (Vd719 $$unsorted) (Vd720 $$unsorted) (Vd721 $$unsorted)) (=> (and (rless Vd718 Vd720) (rless Vd716 Vd718) (rreal Vd721) (rreal Vd719) (= Vd717 Vd716) (rreal Vd717) (= Vd719 Vd718) (= Vd720 Vd721)) (rless Vd716 Vd720))) (=> _let_3 (rline vskolem1138)) (forall ((Vd516 $$unsorted) (Vd517 $$unsorted) (Vd518 $$unsorted) (Vd523 $$unsorted) (Vd524 $$unsorted) (Vd525 $$unsorted) (Vd526 $$unsorted)) (=> (and (exists ((Vd522 $$unsorted)) (and (= Vd518 Vd522) (rline Vd522))) (exists ((Vd520 $$unsorted)) (and (= Vd520 Vd516) (rline Vd520))) (exists ((Vd521 $$unsorted)) (and (= Vd521 Vd517) (rline Vd521))) (exists ((Vd528 $$unsorted)) (and (rpoint Vd528) (= Vd523 Vd528))) (exists ((Vd529 $$unsorted)) (and (rpoint Vd529) (= Vd524 Vd529))) (exists ((Vd530 $$unsorted)) (and (= Vd530 Vd525) (rpoint Vd530))) (exists ((Vd531 $$unsorted)) (and (rpoint Vd531) (= Vd526 Vd531))) (ron Vd523 Vd516) (ron Vd523 Vd517) (ron Vd523 Vd518) (ron Vd524 Vd516) (ron Vd525 Vd518) (ron Vd526 Vd518) (rS Vd525 Vd526 Vd516) (rS Vd524 Vd525 Vd518)) (not (rS Vd524 Vd526 Vd517)))) (forall ((Vd27 $$unsorted) (Vd28 $$unsorted) (Vd29 $$unsorted)) (=> (and (exists ((Vd31 $$unsorted)) (and (= Vd27 Vd31) (rpoint Vd31))) (exists ((Vd32 $$unsorted)) (and (rpoint Vd32) (= Vd28 Vd32))) (exists ((Vd33 $$unsorted)) (and (= Vd29 Vd33) (rpoint Vd33)))) (exists ((Vd34 $$unsorted)) (and (not (= Vd34 Vd28)) (not (= Vd27 Vd34)) (rpoint Vd34) (not (= Vd34 Vd29)))))) (forall ((Vd606 $$unsorted) (Vd607 $$unsorted) (Vd608 $$unsorted) (Vd613 $$unsorted) (Vd614 $$unsorted)) (let ((_let_1 (not (ron Vd607 Vd613)))) (=> (and (rcircle Vd614) (exists ((Vd612 $$unsorted)) (and (rpoint Vd612) (= Vd608 Vd612))) (exists ((Vd611 $$unsorted)) (and (rpoint Vd611) (= Vd607 Vd611))) (exists ((Vd610 $$unsorted)) (and (rpoint Vd610) (= Vd606 Vd610))) (= Vd614 Vd613) (or (ron Vd606 Vd613) (rinside Vd606 Vd613)) (not (rinside Vd608 Vd613)) (rR Vd608 Vd606 Vd607)) (and _let_1 _let_1)))) (forall ((Vd38 $$unsorted) (Vd39 $$unsorted) (Vd40 $$unsorted) (Vd41 $$unsorted)) (=> (and (exists ((Vd46 $$unsorted)) (and (= Vd46 Vd41) (rpoint Vd46))) (exists ((Vd45 $$unsorted)) (and (rpoint Vd45) (= Vd40 Vd45))) (exists ((Vd44 $$unsorted)) (and (rpoint Vd44) (= Vd44 Vd39))) (exists ((Vd43 $$unsorted)) (and (rpoint Vd43) (= Vd38 Vd43)))) (exists ((Vd47 $$unsorted)) (and (not (= Vd47 Vd41)) (not (= Vd40 Vd47)) (not (= Vd47 Vd39)) (not (= Vd47 Vd38)) (rpoint Vd47))))) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (not (= Vd1069 Vd1070)) (exists ((Vd1072 $$unsorted)) (and (= Vd1069 Vd1072) (rpoint Vd1072))) (exists ((Vd1073 $$unsorted)) (and (= Vd1070 Vd1073) (rpoint Vd1073)))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (= Vd1074 Vd1075) (not (= Vd1074 Vd1070)) (rpoint Vd1075) (not (= Vd1074 Vd1069))) (rpoint (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070)))))) (forall ((Vd454 $$unsorted) (Vd455 $$unsorted) (Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (and (not (rS Vd454 Vd455 Vd461)) (not (ron Vd456 Vd461)) (not (ron Vd454 Vd461)) (= Vd462 Vd461) (exists ((Vd458 $$unsorted)) (and (rpoint Vd458) (= Vd454 Vd458))) (exists ((Vd459 $$unsorted)) (and (rpoint Vd459) (= Vd459 Vd455))) (exists ((Vd460 $$unsorted)) (and (= Vd460 Vd456) (rpoint Vd460))) (rline Vd462) (not (ron Vd455 Vd461))) (or (rS Vd454 Vd456 Vd461) (rS Vd455 Vd456 Vd461)))) (forall ((Vd489 $$unsorted) (Vd490 $$unsorted) (Vd491 $$unsorted) (Vd496 $$unsorted) (Vd497 $$unsorted)) (=> (and (ron Vd490 Vd496) (= Vd496 Vd497) (rline Vd497) (exists ((Vd494 $$unsorted)) (and (= Vd494 Vd490) (rpoint Vd494))) (exists ((Vd493 $$unsorted)) (and (rpoint Vd493) (= Vd493 Vd489))) (exists ((Vd495 $$unsorted)) (and (rpoint Vd495) (= Vd491 Vd495))) (rR Vd490 Vd489 Vd491)) (not (rS Vd489 Vd491 Vd496)))) _let_24 (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd331 $$unsorted) (Vd332 $$unsorted)) (=> (and (rcenter Vd332 Vd328) (rcenter Vd331 Vd328) (= Vd329 Vd328) (rcircle Vd329)) (= Vd332 Vd331))) (rpoint vd14) (forall ((Vd713 $$unsorted) (Vd714 $$unsorted)) (=> (and (= Vd714 Vd713) (rreal Vd714)) (not (rless Vd713 Vd713)))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd306 $$unsorted) (Vd307 $$unsorted) (Vd308 $$unsorted) (Vd309 $$unsorted) (Vd311 $$unsorted)) (=> (and (not (ron Vd311 Vd306)) (ron Vd309 Vd306) (exists ((Vd304 $$unsorted)) (and (rcircle Vd304) (= Vd301 Vd304))) (exists ((Vd305 $$unsorted)) (and (rcircle Vd305) (= Vd305 Vd302))) (rline Vd307) (= Vd306 Vd307) (rintersect Vd301 Vd302) (rcenter Vd308 Vd301) (rcenter Vd309 Vd302) (ron Vd308 Vd306)) (exists ((Vd312 $$unsorted)) (and (ron Vd312 Vd302) (ron Vd312 Vd301) (rpoint Vd312) (not (rS Vd312 Vd311 Vd306)))))) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd403 $$unsorted) (Vd404 $$unsorted)) (=> (and (ron Vd396 Vd403) (rline Vd404) (not (= Vd396 Vd398)) (exists ((Vd402 $$unsorted)) (and (= Vd402 Vd398) (rpoint Vd402))) (exists ((Vd400 $$unsorted)) (and (= Vd396 Vd400) (rpoint Vd400))) (exists ((Vd401 $$unsorted)) (and (= Vd397 Vd401) (rpoint Vd401))) (not (= Vd396 Vd397)) (not (= Vd397 Vd398)) (ron Vd397 Vd403) (ron Vd398 Vd403) (= Vd404 Vd403)) (or (rR Vd397 Vd396 Vd398) (rR Vd396 Vd397 Vd398) (rR Vd398 Vd396 Vd397)))) (=> _let_12 (= _let_4 _let_13)) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted) (Vd246 $$unsorted) (Vd247 $$unsorted)) (=> (and (= Vd246 Vd247) (rcircle Vd245) (= Vd244 Vd245) (rline Vd247) (rintersect Vd246 Vd244)) (exists ((Vd248 $$unsorted) (Vd250 $$unsorted)) (and (not (= Vd250 Vd248)) (ron Vd250 Vd244) (ron Vd250 Vd246) (rpoint Vd250) (ron Vd248 Vd244) (ron Vd248 Vd246) (rpoint Vd248))))) (forall ((Vd275 $$unsorted) (Vd276 $$unsorted) (Vd277 $$unsorted) (Vd278 $$unsorted)) (=> (and (rcircle Vd278) (rcircle Vd276) (= Vd276 Vd275) (= Vd277 Vd278) (rintersect Vd275 Vd277)) (exists ((Vd279 $$unsorted)) (and (ron Vd279 Vd277) (rpoint Vd279) (ron Vd279 Vd275))))) (forall ((Vd434 $$unsorted) (Vd435 $$unsorted) (Vd439 $$unsorted) (Vd440 $$unsorted)) (=> (and (rS Vd434 Vd435 Vd439) (rline Vd440) (exists ((Vd438 $$unsorted)) (and (= Vd435 Vd438) (rpoint Vd438))) (exists ((Vd437 $$unsorted)) (and (rpoint Vd437) (= Vd437 Vd434))) (= Vd440 Vd439)) (not (ron Vd434 Vd439)))) (forall ((Vd847 $$unsorted) (Vd848 $$unsorted) (Vd849 $$unsorted) (Vd850 $$unsorted) (Vd851 $$unsorted) (Vd852 $$unsorted)) (=> (and (ron Vd851 Vd850) (rcenter Vd849 Vd850) (rpoint Vd848) (= Vd848 Vd847) (rpoint Vd852) (= Vd851 Vd852)) (= (ron Vd847 Vd850) (= (vf Vd849 Vd851) (vf Vd849 Vd847))))) (forall ((Vd340 $$unsorted) (Vd341 $$unsorted) (Vd342 $$unsorted)) (=> (and (exists ((Vd346 $$unsorted)) (and (rpoint Vd346) (= Vd346 Vd342))) (exists ((Vd345 $$unsorted)) (and (rpoint Vd345) (= Vd341 Vd345))) (exists ((Vd344 $$unsorted)) (and (= Vd340 Vd344) (rpoint Vd344))) (rR Vd341 Vd340 Vd342)) (and (rR Vd341 Vd342 Vd340) (not (= Vd340 Vd341)) (not (= Vd342 Vd340)) (not (rR Vd340 Vd341 Vd342))))) (=> _let_12 (rpoint vskolem1140)) (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (=> (rcenter Vd334 Vd335) (rinside Vd334 Vd335))) (forall ((Vd894 $$unsorted) (Vd895 $$unsorted) (Vd896 $$unsorted) (Vd897 $$unsorted) (Vd903 $$unsorted) (Vd904 $$unsorted)) (let ((_let_1 (vangle Vd894 Vd896 Vd897))) (=> (and (rR Vd896 Vd894 Vd895) (exists ((Vd901 $$unsorted)) (and (= Vd901 Vd896) (rpoint Vd901))) (exists ((Vd900 $$unsorted)) (and (= Vd895 Vd900) (rpoint Vd900))) (exists ((Vd899 $$unsorted)) (and (rpoint Vd899) (= Vd894 Vd899))) (exists ((Vd902 $$unsorted)) (and (rpoint Vd902) (= Vd897 Vd902))) (rline Vd904) (= Vd904 Vd903) (not (ron Vd897 Vd903))) (= (= _let_1 vperp) (= (vangle Vd897 Vd896 Vd895) _let_1))))) (forall ((Vd676 $$unsorted) (Vd677 $$unsorted) (Vd681 $$unsorted) (Vd682 $$unsorted)) (=> (and (ron Vd677 Vd682) (rinside Vd676 Vd682) (rinside Vd677 Vd681) (ron Vd676 Vd681) (exists ((Vd679 $$unsorted)) (and (rpoint Vd679) (= Vd676 Vd679))) (exists ((Vd680 $$unsorted)) (and (= Vd680 Vd677) (rpoint Vd680)))) (rintersect Vd681 Vd682))) (forall ((Vd232 $$unsorted) (Vd233 $$unsorted) (Vd234 $$unsorted) (Vd235 $$unsorted)) (=> (and (rline Vd235) (= Vd232 Vd233) (rline Vd233) (= Vd234 Vd235) (rintersect Vd232 Vd234)) (exists ((Vd236 $$unsorted)) (and (ron Vd236 Vd232) (rpoint Vd236) (ron Vd236 Vd234))))) (forall ((Vd500 $$unsorted) (Vd501 $$unsorted) (Vd502 $$unsorted) (Vd507 $$unsorted) (Vd508 $$unsorted)) (=> (and (not (rS Vd500 Vd502 Vd507)) (ron Vd502 Vd508) (not (= Vd507 Vd508)) (exists ((Vd511 $$unsorted)) (and (= Vd511 Vd508) (rline Vd511))) (not (= Vd502 Vd501)) (not (= Vd500 Vd501)) (exists ((Vd506 $$unsorted)) (and (rpoint Vd506) (= Vd502 Vd506))) (exists ((Vd504 $$unsorted)) (and (rpoint Vd504) (= Vd504 Vd500))) (exists ((Vd505 $$unsorted)) (and (rpoint Vd505) (= Vd505 Vd501))) (not (= Vd502 Vd500)) (exists ((Vd510 $$unsorted)) (and (= Vd510 Vd507) (rline Vd510))) (ron Vd500 Vd508) (ron Vd501 Vd508) (ron Vd501 Vd507)) (rR Vd501 Vd500 Vd502))) (forall ((Vd908 $$unsorted) (Vd909 $$unsorted) (Vd910 $$unsorted) (Vd911 $$unsorted) (Vd912 $$unsorted) (Vd919 $$unsorted) (Vd920 $$unsorted)) (=> (and (not (rR Vd908 Vd910 Vd912)) (not (= Vd912 Vd908)) (not (= Vd911 Vd908)) (not (= Vd908 Vd910)) (not (= Vd909 Vd908)) (ron Vd912 Vd920) (ron Vd909 Vd919) (ron Vd908 Vd919) (exists ((Vd918 $$unsorted)) (and (= Vd912 Vd918) (rpoint Vd918))) (exists ((Vd916 $$unsorted)) (and (= Vd916 Vd910) (rpoint Vd916))) (exists ((Vd915 $$unsorted)) (and (= Vd909 Vd915) (rpoint Vd915))) (exists ((Vd914 $$unsorted)) (and (rpoint Vd914) (= Vd914 Vd908))) (exists ((Vd917 $$unsorted)) (and (= Vd911 Vd917) (rpoint Vd917))) (exists ((Vd922 $$unsorted)) (and (= Vd922 Vd919) (rline Vd922))) (exists ((Vd923 $$unsorted)) (and (rline Vd923) (= Vd920 Vd923))) (ron Vd911 Vd919) (ron Vd910 Vd920) (not (rR Vd908 Vd909 Vd911))) (= (vangle Vd909 Vd908 Vd910) (vangle Vd911 Vd908 Vd912)))) (forall ((Vd537 $$unsorted) (Vd538 $$unsorted) (Vd539 $$unsorted) (Vd544 $$unsorted) (Vd545 $$unsorted) (Vd546 $$unsorted) (Vd547 $$unsorted)) (=> (and (not (= Vd544 Vd545)) (not (ron Vd547 Vd538)) (not (rS Vd545 Vd547 Vd538)) (ron Vd547 Vd539) (ron Vd546 Vd538) (ron Vd545 Vd537) (ron Vd544 Vd538) (exists ((Vd551 $$unsorted)) (and (rpoint Vd551) (= Vd551 Vd546))) (exists ((Vd550 $$unsorted)) (and (= Vd550 Vd545) (rpoint Vd550))) (exists ((Vd549 $$unsorted)) (and (rpoint Vd549) (= Vd549 Vd544))) (exists ((Vd543 $$unsorted)) (and (rline Vd543) (= Vd543 Vd539))) (exists ((Vd542 $$unsorted)) (and (rline Vd542) (= Vd538 Vd542))) (exists ((Vd541 $$unsorted)) (and (rline Vd541) (= Vd541 Vd537))) (exists ((Vd552 $$unsorted)) (and (= Vd552 Vd547) (rpoint Vd552))) (ron Vd544 Vd537) (ron Vd544 Vd539) (rS Vd546 Vd547 Vd537)) (rS Vd545 Vd546 Vd539))) (rreal vd684) (=> _let_11 (not (ron vd1125 vskolem1139))) (forall ((Vd808 $$unsorted) (Vd809 $$unsorted) (Vd810 $$unsorted) (Vd811 $$unsorted) (Vd812 $$unsorted) (Vd813 $$unsorted)) (=> (and (= (vangle Vd812 Vd813 Vd811) (vangle Vd809 Vd810 Vd808)) (= (vangle Vd808 Vd809 Vd810) (vangle Vd811 Vd812 Vd813)) (= (vf Vd809 Vd810) (vf Vd812 Vd813)) (= (vf Vd811 Vd812) (vf Vd808 Vd809)) (exists ((Vd819 $$unsorted)) (and (= Vd812 Vd819) (rpoint Vd819))) (exists ((Vd818 $$unsorted)) (and (= Vd818 Vd811) (rpoint Vd818))) (exists ((Vd816 $$unsorted)) (and (= Vd816 Vd809) (rpoint Vd816))) (exists ((Vd815 $$unsorted)) (and (rpoint Vd815) (= Vd815 Vd808))) (exists ((Vd817 $$unsorted)) (and (= Vd817 Vd810) (rpoint Vd817))) (exists ((Vd820 $$unsorted)) (and (rpoint Vd820) (= Vd820 Vd813))) (= (vf Vd810 Vd808) (vf Vd813 Vd811)) (= (vangle Vd813 Vd811 Vd812) (vangle Vd810 Vd808 Vd809))) (= (vg Vd808 Vd809 Vd810) (vg Vd811 Vd812 Vd813)))) (rline vd1145) (forall ((Vd958 $$unsorted) (Vd959 $$unsorted) (Vd960 $$unsorted)) (=> (and (exists ((Vd963 $$unsorted)) (and (rpoint Vd963) (= Vd963 Vd959))) (exists ((Vd962 $$unsorted)) (and (rpoint Vd962) (= Vd962 Vd958))) (exists ((Vd964 $$unsorted)) (and (rpoint Vd964) (= Vd964 Vd960)))) (exists ((Vd966 $$unsorted)) (and (rreal Vd966) (= Vd966 (vg Vd958 Vd959 Vd960)))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1049 Vd1050) (not (= Vd1047 Vd1049)) (rpoint Vd1050) (rpoint Vd1048) (= Vd1047 Vd1048)) (rpoint (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)))) (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 $$unsorted)) (and (= Vd778 Vd782) (rpoint Vd782))) (exists ((Vd783 $$unsorted)) (and (= Vd783 Vd779) (rpoint Vd783)))) (and (rleq v0 _let_1) (rleq _let_1 (vplus vperp vperp)))))) _let_7 (forall ((Vd152 $$unsorted) (Vd153 $$unsorted) (Vd154 $$unsorted) (Vd155 $$unsorted)) (=> (and (not (ron Vd154 Vd152)) (rpoint Vd155) (rline Vd153) (= Vd152 Vd153) (= Vd155 Vd154)) (exists ((Vd156 $$unsorted)) (and (rpoint Vd156) (rS Vd156 Vd154 Vd152) (not (= Vd156 Vd154)))))) (forall ((Vd828 $$unsorted) (Vd829 $$unsorted) (Vd830 $$unsorted)) (=> (and (rR Vd829 Vd828 Vd830) (exists ((Vd832 $$unsorted)) (and (= Vd828 Vd832) (rpoint Vd832))) (exists ((Vd833 $$unsorted)) (and (= Vd829 Vd833) (rpoint Vd833))) (exists ((Vd834 $$unsorted)) (and (= Vd834 Vd830) (rpoint Vd834)))) (= (vplus (vf Vd828 Vd829) (vf Vd829 Vd830)) (vf Vd828 Vd830)))) (forall ((Vd725 $$unsorted) (Vd726 $$unsorted) (Vd727 $$unsorted) (Vd728 $$unsorted) (Vd729 $$unsorted) (Vd730 $$unsorted)) (=> (and (rless Vd725 Vd727) (rreal Vd730) (= Vd728 Vd727) (rreal Vd728) (rreal Vd726) (= Vd725 Vd726) (= Vd730 Vd729)) (rless (vplus Vd725 Vd729) (vplus Vd727 Vd729)))) (forall ((Vd159 $$unsorted) (Vd160 $$unsorted) (Vd161 $$unsorted) (Vd162 $$unsorted) (Vd163 $$unsorted) (Vd164 $$unsorted)) (=> (and (= Vd163 Vd164) (not (ron Vd161 Vd159)) (rpoint Vd162) (= Vd160 Vd159) (rline Vd160) (rpoint Vd164) (rS Vd163 Vd161 Vd159) (= Vd161 Vd162)) (exists ((Vd166 $$unsorted)) (and (not (= Vd163 Vd166)) (rpoint Vd166) (rS Vd166 Vd161 Vd159) (not (= Vd166 Vd161)))))) _let_6 (forall ((Vd71 $$unsorted) (Vd72 $$unsorted) (Vd73 $$unsorted) (Vd74 $$unsorted) (Vd75 $$unsorted)) (=> (and (ron Vd74 Vd71) (ron Vd73 Vd71) (exists ((Vd79 $$unsorted)) (and (= Vd79 Vd75) (rpoint Vd79))) (exists ((Vd78 $$unsorted)) (and (rpoint Vd78) (= Vd74 Vd78))) (rline Vd72) (= Vd72 Vd71) (exists ((Vd77 $$unsorted)) (and (rpoint Vd77) (= Vd73 Vd77))) (ron Vd75 Vd71)) (exists ((Vd81 $$unsorted)) (and (not (= Vd81 Vd73)) (rpoint Vd81) (ron Vd81 Vd71) (not (= Vd74 Vd81)))))) (forall ((Vd837 $$unsorted) (Vd838 $$unsorted) (Vd842 $$unsorted) (Vd843 $$unsorted) (Vd844 $$unsorted)) (=> (and (ron Vd837 Vd843) (rcenter Vd842 Vd844) (rcenter Vd842 Vd843) (exists ((Vd840 $$unsorted)) (and (= Vd837 Vd840) (rpoint Vd840))) (exists ((Vd841 $$unsorted)) (and (rpoint Vd841) (= Vd838 Vd841))) (ron Vd838 Vd844) (= (vf Vd842 Vd837) (vf Vd842 Vd838))) (= Vd844 Vd843))) (forall ((Vd792 $$unsorted) (Vd793 $$unsorted) (Vd794 $$unsorted) (Vd795 $$unsorted) (Vd796 $$unsorted) (Vd797 $$unsorted)) (=> (and (rpoint Vd797) (= Vd794 Vd795) (= Vd793 Vd792) (rpoint Vd793) (rpoint Vd795) (= Vd797 Vd796)) (rgeq (vg Vd792 Vd794 Vd796) v0))) (forall ((Vd19 $$unsorted) (Vd20 $$unsorted)) (=> (and (exists ((Vd23 $$unsorted)) (and (= Vd20 Vd23) (rpoint Vd23))) (exists ((Vd22 $$unsorted)) (and (rpoint Vd22) (= Vd19 Vd22)))) (exists ((Vd24 $$unsorted)) (and (not (= Vd20 Vd24)) (rpoint Vd24) (not (= Vd19 Vd24)))))) (forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (=> (rcenter Vd1 Vd2) (exists ((Vd3 $$unsorted) (Vd4 $$unsorted)) (and (rpoint Vd3) (= Vd3 Vd1) (rcircle Vd4) (= Vd4 Vd2))))) (forall ((Vd862 $$unsorted) (Vd863 $$unsorted) (Vd864 $$unsorted) (Vd865 $$unsorted) (Vd866 $$unsorted) (Vd867 $$unsorted) (Vd868 $$unsorted) (Vd869 $$unsorted)) (=> (and (ron Vd862 Vd868) (not (= Vd866 Vd862)) (= Vd868 Vd869) (rpoint Vd867) (rpoint Vd865) (= Vd863 Vd862) (rpoint Vd863) (= Vd864 Vd865) (= Vd866 Vd867) (rline Vd869) (not (= Vd864 Vd862)) (ron Vd864 Vd868)) (= (= v0 (vangle Vd864 Vd862 Vd866)) (and (not (rR Vd862 Vd864 Vd866)) (ron Vd866 Vd868))))) (forall ((Vd660 $$unsorted) (Vd661 $$unsorted) (Vd662 $$unsorted) (Vd663 $$unsorted) (Vd664 $$unsorted) (Vd665 $$unsorted)) (=> (and (rinside Vd660 Vd662) (= Vd665 Vd664) (rline Vd665) (= Vd661 Vd660) (rpoint Vd661) (rcircle Vd663) (= Vd662 Vd663) (ron Vd660 Vd664)) (rintersect Vd664 Vd662))) (forall ((Vd979 $$unsorted) (Vd980 $$unsorted) (Vd981 $$unsorted) (Vd982 $$unsorted) (Vd988 $$unsorted) (Vd989 $$unsorted)) (=> (and (not (ron Vd982 Vd988)) (rline Vd989) (not (= Vd981 Vd982)) (not (= Vd982 Vd980)) (not (= Vd981 Vd979)) (exists ((Vd987 $$unsorted)) (and (= Vd982 Vd987) (rpoint Vd987))) (exists ((Vd985 $$unsorted)) (and (rpoint Vd985) (= Vd980 Vd985))) (exists ((Vd984 $$unsorted)) (and (rpoint Vd984) (= Vd979 Vd984))) (exists ((Vd986 $$unsorted)) (and (= Vd981 Vd986) (rpoint Vd986))) (not (= Vd980 Vd979)) (not (= Vd982 Vd979)) (not (= Vd981 Vd980)) (= Vd989 Vd988)) (= (= (vplus (vg Vd979 Vd981 Vd982) (vg Vd982 Vd981 Vd980)) (vg Vd979 Vd982 Vd980)) (rR Vd981 Vd979 Vd980)))) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (not (= Vd1070 Vd1069)) (exists ((Vd1072 $$unsorted)) (and (rpoint Vd1072) (= Vd1072 Vd1069))) (exists ((Vd1073 $$unsorted)) (and (rpoint Vd1073) (= Vd1070 Vd1073)))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (not (= Vd1074 Vd1069)) (rpoint Vd1075) (not (= Vd1070 Vd1074)) (= Vd1074 Vd1075)) (= (vf Vd1069 Vd1070) (vf Vd1074 (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070))))))) (=> (and _let_1 _let_2) (= _let_5 _let_4)) (forall ((Vd874 $$unsorted) (Vd875 $$unsorted) (Vd876 $$unsorted) (Vd877 $$unsorted) (Vd883 $$unsorted) (Vd884 $$unsorted)) (=> (and (not (ron Vd877 Vd884)) (exists ((Vd887 $$unsorted)) (and (= Vd884 Vd887) (rline Vd887))) (exists ((Vd882 $$unsorted)) (and (rpoint Vd882) (= Vd877 Vd882))) (exists ((Vd880 $$unsorted)) (and (rpoint Vd880) (= Vd880 Vd875))) (exists ((Vd879 $$unsorted)) (and (= Vd879 Vd874) (rpoint Vd879))) (exists ((Vd881 $$unsorted)) (and (= Vd881 Vd876) (rpoint Vd881))) (exists ((Vd886 $$unsorted)) (and (= Vd883 Vd886) (rline Vd886))) (ron Vd874 Vd883) (ron Vd874 Vd884) (ron Vd875 Vd883) (ron Vd876 Vd884) (not (= Vd875 Vd874)) (not (= Vd876 Vd874)) (not (ron Vd877 Vd883)) (not (= Vd883 Vd884))) (= (and (rS Vd875 Vd877 Vd884) (rS Vd876 Vd877 Vd883)) (= (vplus (vangle Vd875 Vd874 Vd877) (vangle Vd877 Vd874 Vd876)) (vangle Vd875 Vd874 Vd876))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (rpoint Vd1048) (= Vd1048 Vd1047) (rpoint Vd1050) (not (= Vd1049 Vd1047)) (= Vd1050 Vd1049)) (= (vf Vd1049 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)) (vf Vd1047 Vd1049)))) (forall ((Vd127 $$unsorted) (Vd128 $$unsorted) (Vd129 $$unsorted) (Vd130 $$unsorted)) (=> (and (ron Vd130 Vd127) (ron Vd129 Vd127) (exists ((Vd133 $$unsorted)) (and (= Vd130 Vd133) (rpoint Vd133))) (rline Vd128) (= Vd127 Vd128) (exists ((Vd132 $$unsorted)) (and (= Vd132 Vd129) (rpoint Vd132))) (not (= Vd129 Vd130))) (exists ((Vd136 $$unsorted)) (and (rpoint Vd136) (rR Vd130 Vd129 Vd136))))) (=> _let_3 (ron vskolem1140 vskolem1139)) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 25.94/26.25 % SZS output end Proof for theBenchmark 51.73/26.25 EOF