0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : do_cvc5 %s %d 0.13/0.33 % Computer : n024.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 05:27:22 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF 8.74/8.97 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 8.74/8.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 8.74/8.97 % SZS status Theorem for theBenchmark 8.74/8.97 % SZS output start Proof for theBenchmark 8.74/8.97 (let ((_let_1 (vf vd1123 vskolem1136))) (let ((_let_2 (vf vd1127 vd1129))) (let ((_let_3 (not (= vd1129 vd1123)))) (let ((_let_4 (= vd1123 vd1127))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= vd1127 vd1123))) (let ((_let_7 (not _let_6))) (let ((_let_8 (and _let_3 _let_7))) (let ((_let_9 (rinside vd1125 vd1152))) (let ((_let_10 (not _let_9))) (let ((_let_11 (= vd1123 vd1129))) (let ((_let_12 (not _let_11))) (let ((_let_13 (and _let_12 _let_5))) (let ((_let_14 (vf vd1123 vskolem1140))) (let ((_let_15 (and _let_3 _let_5))) (let ((_let_16 (not (exists ((Vd1153 $$unsorted)) (and (rR Vd1153 vd1123 vd1125) (rpoint Vd1153) (ron Vd1153 vd1151) (ron Vd1153 vd1152)))))) (let ((_let_17 (and _let_7 _let_12))) (let ((_let_18 (rcenter vd1123 vd1152))) (let ((_let_19 (rcircle vd1152))) (let ((_let_20 (ron vd1123 vd1151))) (let ((_let_21 (ron vd1125 vd1151))) (let ((_let_22 (and (ron vd1127 vd1152) _let_21 _let_20 _let_19 _let_18))) (let ((_let_23 (forall ((Vd253 $$unsorted) (Vd254 $$unsorted) (Vd255 $$unsorted) (Vd256 $$unsorted) (Vd257 $$unsorted) (Vd258 $$unsorted) (Vd259 $$unsorted) (Vd260 $$unsorted)) (=> (and (not (rinside Vd259 Vd253)) (rpoint Vd260) (ron Vd257 Vd255) (rinside Vd257 Vd253) (rpoint Vd258) (rline Vd256) (= Vd254 Vd253) (rcircle Vd254) (= Vd256 Vd255) (= Vd258 Vd257) (= Vd259 Vd260) (not (ron Vd259 Vd253)) (ron Vd259 Vd255)) (exists ((Vd261 $$unsorted)) (and (rR Vd261 Vd257 Vd259) (ron Vd261 Vd253) (rpoint Vd261) (ron Vd261 Vd255))))))) (let ((_let_24 (rline vd1151))) (let ((_let_25 (forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (=> (rcenter Vd1 Vd2) (exists ((Vd3 $$unsorted) (Vd4 $$unsorted)) (and (= Vd4 Vd2) (rcircle Vd4) (= Vd1 Vd3) (rpoint Vd3))))))) (let ((_let_26 (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (=> (rcenter Vd334 Vd335) (rinside Vd334 Vd335))))) (let ((_let_27 (rpoint vd1126))) (let ((_let_28 (and (not (= vd1127 vd1129)) (= vd1129 vd1130) _let_27 (rpoint vd1124) (= vd1123 vd1124) (= vd1126 vd1125) (rpoint vd1128) (= vd1127 vd1128) (rpoint vd1130) (not (= vd1123 vd1125)) (rless _let_2 (vf vd1123 vd1125))))) (let ((_let_29 (ron vd1125 vd1152))) (let ((_let_30 (not _let_29))) (let ((_let_31 (= vd1125 vd1126))) (let ((_let_32 (rpoint vd1125))) (let ((_let_33 (2))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((Vd261 $$unsorted)) (or (not (rR Vd261 vd1123 vd1125)) (not (ron Vd261 vd1152)) (not (rpoint Vd261)) (not (ron Vd261 vd1151)))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (not _let_21))) (let ((_let_38 (not _let_19))) (let ((_let_39 (not _let_24))) (let ((_let_40 (rpoint vd1123))) (let ((_let_41 (not _let_40))) (let ((_let_42 (rinside vd1123 vd1152))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_20))) (let ((_let_45 (not _let_32))) (let ((_let_46 (or _let_9 _let_45 _let_44 _let_43 _let_41 _let_39 _let_38 _let_29 _let_37 _let_36))) (let ((_let_47 (forall ((Vd254 $$unsorted) (Vd256 $$unsorted) (Vd258 $$unsorted) (Vd260 $$unsorted)) (or (rinside Vd260 Vd254) (not (rpoint Vd260)) (not (ron Vd258 Vd256)) (not (rinside Vd258 Vd254)) (not (rpoint Vd258)) (not (rline Vd256)) (not (rcircle Vd254)) (ron Vd260 Vd254) (not (ron Vd260 Vd256)) (not (forall ((Vd261 $$unsorted)) (or (not (rR Vd261 Vd258 Vd260)) (not (ron Vd261 Vd254)) (not (rpoint Vd261)) (not (ron Vd261 Vd256))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (forall ((Vd1153 $$unsorted)) (or (not (rR Vd1153 vd1123 vd1125)) (not (rpoint Vd1153)) (not (ron Vd1153 vd1151)) (not (ron Vd1153 vd1152)))))) (let ((_let_50 (not _let_18))) (let ((_let_51 (or _let_50 _let_42))) (let ((_let_52 (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (or (not (rcenter Vd334 Vd335)) (rinside Vd334 Vd335))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (ASSUME :args (_let_22)))) (let ((_let_55 (AND_ELIM _let_54 :args (4)))) (let ((_let_56 (and _let_19 _let_40))) (let ((_let_57 (or _let_50 _let_56))) (let ((_let_58 (forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (or (not (rcenter Vd1 Vd2)) (and (rcircle Vd2) (rpoint Vd1)))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (ASSUME :args (_let_45)))) (let ((_let_61 (ASSUME :args (_let_31)))) (let ((_let_62 (ASSUME :args (_let_27)))) (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_60 _let_61 _let_62) :args (_let_27 _let_31 _let_45)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_62)) (CONG (SYMM _let_61) :args (APPLY_UF rpoint)) (FALSE_INTRO _let_60))) :args (_let_45 _let_31 _let_27)) :args ((not (and _let_27 _let_31 _let_45)) SB_LITERAL))) (CONG (REFL :args ((not _let_27))) (REFL :args ((not _let_31))) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_32))) :args (OR))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_29 _let_9 _let_39 _let_37 _let_44 _let_38 _let_45 _let_41 _let_43 _let_36 (not _let_46)))) (ASSUME :args (_let_30)) (ASSUME :args (_let_10)) (ASSUME :args (_let_24)) (AND_ELIM _let_54 :args (1)) (AND_ELIM _let_54 :args _let_33) (AND_ELIM _let_54 :args (3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_56 1)) :args ((or _let_40 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_50 _let_56 (not _let_57)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (vd1123 vd1152 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (rcenter Vd1 Vd2) false))))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_56 false _let_18 false _let_57)) :args (_let_40 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_42 (not _let_51)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (vd1123 vd1152 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (rcenter Vd334 Vd335) false))))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_42 false _let_18 false _let_51)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_49 (= Vd1153 Vd261))) (MACRO_SR_PRED_INTRO :args ((= (forall ((Vd261 $$unsorted)) (or (not (rR Vd261 vd1123 vd1125)) (not (rpoint Vd261)) (not (ron Vd261 vd1151)) (not (ron Vd261 vd1152)))) _let_35) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args (_let_35 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (vd1152 vd1151 vd1123 vd1125 QUANTIFIERS_INST_E_MATCHING ((not (= (rinside Vd260 Vd254) true)) (not (= (ron Vd258 Vd256) false))))) :args (_let_47))) _let_48 :args (_let_46 false _let_47)) :args (_let_45 true _let_29 true _let_9 false _let_24 false _let_21 false _let_20 false _let_19 false _let_40 false _let_42 false _let_35 false _let_46)) (AND_ELIM _let_34 :args (5)) (AND_ELIM _let_34 :args _let_33) :args (false true _let_32 false _let_31 false _let_27)) :args (_let_11 (=> _let_15 (not (rinside vd1125 vskolem1139))) (forall ((Vd84 $$unsorted) (Vd85 $$unsorted) (Vd86 $$unsorted) (Vd87 $$unsorted)) (=> (and (ron Vd87 Vd84) (ron Vd86 Vd84) (exists ((Vd89 $$unsorted)) (and (rpoint Vd89) (= Vd89 Vd86))) (= Vd84 Vd85) (rline Vd85) (exists ((Vd90 $$unsorted)) (and (rpoint Vd90) (= Vd87 Vd90))) (not (= Vd86 Vd87))) (exists ((Vd93 $$unsorted)) (and (rR Vd93 Vd86 Vd87) (rpoint Vd93))))) (forall ((Vd71 $$unsorted) (Vd72 $$unsorted) (Vd73 $$unsorted) (Vd74 $$unsorted) (Vd75 $$unsorted)) (=> (and (ron Vd75 Vd71) (ron Vd73 Vd71) (rline Vd72) (= Vd72 Vd71) (exists ((Vd77 $$unsorted)) (and (= Vd77 Vd73) (rpoint Vd77))) (exists ((Vd78 $$unsorted)) (and (rpoint Vd78) (= Vd78 Vd74))) (exists ((Vd79 $$unsorted)) (and (= Vd75 Vd79) (rpoint Vd79))) (ron Vd74 Vd71)) (exists ((Vd81 $$unsorted)) (and (rpoint Vd81) (ron Vd81 Vd71) (not (= Vd73 Vd81)) (not (= Vd81 Vd74)))))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd306 $$unsorted) (Vd307 $$unsorted) (Vd308 $$unsorted) (Vd309 $$unsorted) (Vd311 $$unsorted)) (=> (and (rcenter Vd309 Vd302) (rcenter Vd308 Vd301) (rline Vd307) (exists ((Vd304 $$unsorted)) (and (rcircle Vd304) (= Vd301 Vd304))) (exists ((Vd305 $$unsorted)) (and (= Vd302 Vd305) (rcircle Vd305))) (= Vd306 Vd307) (rintersect Vd301 Vd302) (ron Vd308 Vd306) (ron Vd309 Vd306) (not (ron Vd311 Vd306))) (exists ((Vd312 $$unsorted)) (and (ron Vd312 Vd302) (ron Vd312 Vd301) (rpoint Vd312) (not (rS Vd312 Vd311 Vd306)))))) (rreal vd684) (rpoint vd14) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd364 $$unsorted) (Vd369 $$unsorted) (Vd370 $$unsorted)) (=> (and (= Vd369 Vd370) (rR Vd363 Vd362 Vd364) (exists ((Vd366 $$unsorted)) (and (rpoint Vd366) (= Vd362 Vd366))) (exists ((Vd367 $$unsorted)) (and (= Vd367 Vd363) (rpoint Vd367))) (exists ((Vd368 $$unsorted)) (and (= Vd364 Vd368) (rpoint Vd368))) (rline Vd370) (ron Vd362 Vd369) (ron Vd364 Vd369)) (ron Vd363 Vd369))) (=> _let_4 (not (ron vd1125 vskolem1146))) (forall ((Vd792 $$unsorted) (Vd793 $$unsorted) (Vd794 $$unsorted) (Vd795 $$unsorted) (Vd796 $$unsorted) (Vd797 $$unsorted)) (=> (and (rpoint Vd797) (rpoint Vd795) (= Vd792 Vd793) (rpoint Vd793) (= Vd795 Vd794) (= Vd796 Vd797)) (rgeq (vg Vd792 Vd794 Vd796) v0))) _let_30 (forall ((Vd733 $$unsorted) (Vd734 $$unsorted) (Vd735 $$unsorted) (Vd736 $$unsorted) (Vd737 $$unsorted) (Vd738 $$unsorted)) (=> (and (= (vplus Vd735 Vd737) (vplus Vd733 Vd737)) (rreal Vd736) (= Vd734 Vd733) (rreal Vd734) (= Vd735 Vd736) (rreal Vd738) (= Vd738 Vd737)) (= Vd735 Vd733))) (forall ((Vd685 $$unsorted) (Vd686 $$unsorted) (Vd687 $$unsorted) (Vd688 $$unsorted)) (=> (and (= Vd685 Vd686) (rreal Vd686) (rreal Vd688) (= Vd688 Vd687)) (exists ((Vd690 $$unsorted)) (and (rreal Vd690) (= Vd690 (vplus Vd685 Vd687)))))) (forall ((Vd933 $$unsorted) (Vd934 $$unsorted) (Vd935 $$unsorted) (Vd936 $$unsorted) (Vd937 $$unsorted) (Vd944 $$unsorted) (Vd945 $$unsorted) (Vd946 $$unsorted)) (=> (and (not (= Vd935 Vd934)) (ron Vd936 Vd946) (ron Vd934 Vd944) (exists ((Vd950 $$unsorted)) (and (rline Vd950) (= Vd950 Vd946))) (exists ((Vd949 $$unsorted)) (and (rline Vd949) (= Vd949 Vd945))) (exists ((Vd941 $$unsorted)) (and (= Vd941 Vd935) (rpoint Vd941))) (exists ((Vd939 $$unsorted)) (and (rpoint Vd939) (= Vd939 Vd933))) (exists ((Vd940 $$unsorted)) (and (= Vd940 Vd934) (rpoint Vd940))) (exists ((Vd942 $$unsorted)) (and (= Vd942 Vd936) (rpoint Vd942))) (exists ((Vd943 $$unsorted)) (and (rpoint Vd943) (= Vd937 Vd943))) (exists ((Vd948 $$unsorted)) (and (rline Vd948) (= Vd948 Vd944))) (ron Vd933 Vd944) (ron Vd934 Vd945) (ron Vd935 Vd945) (ron Vd935 Vd946) (rS Vd933 Vd936 Vd945) (rless (vplus (vangle Vd933 Vd934 Vd935) (vangle Vd934 Vd935 Vd936)) (vplus vperp vperp))) (and (rintersect Vd944 Vd945) (=> (and (ron Vd937 Vd944) (ron Vd937 Vd945)) (rS Vd937 Vd933 Vd945))))) (forall ((Vd442 $$unsorted) (Vd443 $$unsorted) (Vd444 $$unsorted) (Vd449 $$unsorted) (Vd450 $$unsorted)) (=> (and (rS Vd442 Vd444 Vd449) (= Vd450 Vd449) (rline Vd450) (exists ((Vd446 $$unsorted)) (and (rpoint Vd446) (= Vd446 Vd442))) (exists ((Vd447 $$unsorted)) (and (= Vd443 Vd447) (rpoint Vd447))) (exists ((Vd448 $$unsorted)) (and (= Vd448 Vd444) (rpoint Vd448))) (rS Vd442 Vd443 Vd449)) (rS Vd443 Vd444 Vd449))) (=> _let_17 (ron vskolem1140 vskolem1139)) (forall ((Vd716 $$unsorted) (Vd717 $$unsorted) (Vd718 $$unsorted) (Vd719 $$unsorted) (Vd720 $$unsorted) (Vd721 $$unsorted)) (=> (and (rless Vd716 Vd718) (= Vd720 Vd721) (rreal Vd717) (= Vd716 Vd717) (rreal Vd719) (= Vd719 Vd718) (rreal Vd721) (rless Vd718 Vd720)) (rless Vd716 Vd720))) (forall ((Vd95 $$unsorted) (Vd96 $$unsorted) (Vd97 $$unsorted) (Vd98 $$unsorted) (Vd99 $$unsorted)) (=> (and (rR Vd99 Vd97 Vd98) (ron Vd98 Vd95) (exists ((Vd102 $$unsorted)) (and (rpoint Vd102) (= Vd102 Vd98))) (= Vd96 Vd95) (rline Vd96) (exists ((Vd101 $$unsorted)) (and (= Vd97 Vd101) (rpoint Vd101))) (exists ((Vd103 $$unsorted)) (and (= Vd103 Vd99) (rpoint Vd103))) (ron Vd97 Vd95)) (exists ((Vd106 $$unsorted)) (and (rR Vd106 Vd97 Vd98) (rpoint Vd106) (not (= Vd99 Vd106)))))) (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (=> (and (ron Vd855 Vd860) (rcenter Vd859 Vd860) (exists ((Vd858 $$unsorted)) (and (= Vd858 Vd855) (rpoint Vd858))) (exists ((Vd857 $$unsorted)) (and (rpoint Vd857) (= Vd854 Vd857)))) (= (rinside Vd854 Vd860) (rless (vf Vd859 Vd854) (vf Vd859 Vd855))))) _let_28 (forall ((Vd908 $$unsorted) (Vd909 $$unsorted) (Vd910 $$unsorted) (Vd911 $$unsorted) (Vd912 $$unsorted) (Vd919 $$unsorted) (Vd920 $$unsorted)) (=> (and (not (rR Vd908 Vd909 Vd911)) (not (= Vd909 Vd908)) (ron Vd910 Vd920) (exists ((Vd923 $$unsorted)) (and (= Vd920 Vd923) (rline Vd923))) (exists ((Vd922 $$unsorted)) (and (= Vd922 Vd919) (rline Vd922))) (exists ((Vd918 $$unsorted)) (and (= Vd918 Vd912) (rpoint Vd918))) (exists ((Vd915 $$unsorted)) (and (= Vd909 Vd915) (rpoint Vd915))) (exists ((Vd914 $$unsorted)) (and (rpoint Vd914) (= Vd908 Vd914))) (exists ((Vd916 $$unsorted)) (and (= Vd910 Vd916) (rpoint Vd916))) (exists ((Vd917 $$unsorted)) (and (rpoint Vd917) (= Vd911 Vd917))) (ron Vd908 Vd919) (ron Vd909 Vd919) (ron Vd911 Vd919) (ron Vd912 Vd920) (not (= Vd910 Vd908)) (not (= Vd908 Vd911)) (not (= Vd912 Vd908)) (not (rR Vd908 Vd910 Vd912))) (= (vangle Vd911 Vd908 Vd912) (vangle Vd909 Vd908 Vd910)))) (forall ((Vd200 $$unsorted) (Vd201 $$unsorted) (Vd202 $$unsorted) (Vd203 $$unsorted)) (=> (and (ron Vd203 Vd200) (= Vd201 Vd200) (rcircle Vd201) (exists ((Vd205 $$unsorted)) (and (rpoint Vd205) (= Vd205 Vd202))) (exists ((Vd206 $$unsorted)) (and (rpoint Vd206) (= Vd203 Vd206))) (ron Vd202 Vd200)) (exists ((Vd208 $$unsorted)) (and (ron Vd208 Vd200) (rpoint Vd208) (not (= Vd208 Vd202)) (not (= Vd203 Vd208)))))) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (exists ((Vd1073 $$unsorted)) (and (= Vd1070 Vd1073) (rpoint Vd1073))) (exists ((Vd1072 $$unsorted)) (and (rpoint Vd1072) (= Vd1069 Vd1072))) (not (= Vd1070 Vd1069))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (not (= Vd1074 Vd1069)) (rpoint Vd1075) (not (= Vd1070 Vd1074)) (= Vd1075 Vd1074)) (= (vf Vd1074 (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070)) (vf Vd1069 Vd1070)))))) (forall ((Vd967 $$unsorted) (Vd968 $$unsorted) (Vd969 $$unsorted) (Vd974 $$unsorted) (Vd975 $$unsorted)) (=> (and (ron Vd967 Vd974) (not (= Vd967 Vd968)) (exists ((Vd972 $$unsorted)) (and (= Vd968 Vd972) (rpoint Vd972))) (exists ((Vd971 $$unsorted)) (and (rpoint Vd971) (= Vd971 Vd967))) (exists ((Vd973 $$unsorted)) (and (= Vd973 Vd969) (rpoint Vd973))) (rline Vd975) (= Vd975 Vd974) (ron Vd968 Vd974)) (= (= v0 (vg Vd967 Vd968 Vd969)) (ron Vd969 Vd974)))) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted) (Vd246 $$unsorted) (Vd247 $$unsorted)) (=> (and (rcircle Vd245) (= Vd244 Vd245) (rline Vd247) (= Vd247 Vd246) (rintersect Vd246 Vd244)) (exists ((Vd248 $$unsorted) (Vd250 $$unsorted)) (and (ron Vd250 Vd244) (ron Vd248 Vd244) (ron Vd248 Vd246) (rpoint Vd248) (rpoint Vd250) (ron Vd250 Vd246) (not (= Vd250 Vd248)))))) (forall ((Vd500 $$unsorted) (Vd501 $$unsorted) (Vd502 $$unsorted) (Vd507 $$unsorted) (Vd508 $$unsorted)) (=> (and (ron Vd501 Vd507) (ron Vd501 Vd508) (not (rS Vd500 Vd502 Vd507)) (not (= Vd507 Vd508)) (exists ((Vd511 $$unsorted)) (and (= Vd508 Vd511) (rline Vd511))) (exists ((Vd510 $$unsorted)) (and (= Vd507 Vd510) (rline Vd510))) (exists ((Vd504 $$unsorted)) (and (rpoint Vd504) (= Vd500 Vd504))) (exists ((Vd505 $$unsorted)) (and (= Vd501 Vd505) (rpoint Vd505))) (exists ((Vd506 $$unsorted)) (and (= Vd502 Vd506) (rpoint Vd506))) (not (= Vd501 Vd500)) (not (= Vd502 Vd500)) (not (= Vd502 Vd501)) (ron Vd500 Vd508) (ron Vd502 Vd508)) (rR Vd501 Vd500 Vd502))) (= v0 vd684) (forall ((Vd38 $$unsorted) (Vd39 $$unsorted) (Vd40 $$unsorted) (Vd41 $$unsorted)) (=> (and (exists ((Vd46 $$unsorted)) (and (= Vd46 Vd41) (rpoint Vd46))) (exists ((Vd43 $$unsorted)) (and (rpoint Vd43) (= Vd38 Vd43))) (exists ((Vd44 $$unsorted)) (and (= Vd39 Vd44) (rpoint Vd44))) (exists ((Vd45 $$unsorted)) (and (rpoint Vd45) (= Vd40 Vd45)))) (exists ((Vd47 $$unsorted)) (and (not (= Vd47 Vd39)) (not (= Vd47 Vd38)) (rpoint Vd47) (not (= Vd40 Vd47)) (not (= Vd41 Vd47)))))) (forall ((Vd127 $$unsorted) (Vd128 $$unsorted) (Vd129 $$unsorted) (Vd130 $$unsorted)) (=> (and (not (= Vd129 Vd130)) (ron Vd130 Vd127) (rline Vd128) (= Vd127 Vd128) (exists ((Vd132 $$unsorted)) (and (rpoint Vd132) (= Vd129 Vd132))) (exists ((Vd133 $$unsorted)) (and (rpoint Vd133) (= Vd130 Vd133))) (ron Vd129 Vd127)) (exists ((Vd136 $$unsorted)) (and (rpoint Vd136) (rR Vd130 Vd129 Vd136))))) (forall ((Vd15 $$unsorted) (Vd16 $$unsorted)) (=> (and (rpoint Vd16) (= Vd15 Vd16)) (exists ((Vd17 $$unsorted)) (and (not (= Vd15 Vd17)) (rpoint Vd17))))) (forall ((Vd466 $$unsorted) (Vd467 $$unsorted) (Vd468 $$unsorted) (Vd473 $$unsorted) (Vd474 $$unsorted)) (=> (and (rR Vd467 Vd466 Vd468) (= Vd473 Vd474) (exists ((Vd471 $$unsorted)) (and (= Vd467 Vd471) (rpoint Vd471))) (exists ((Vd470 $$unsorted)) (and (= Vd470 Vd466) (rpoint Vd470))) (exists ((Vd472 $$unsorted)) (and (= Vd472 Vd468) (rpoint Vd472))) (rline Vd474) (rS Vd466 Vd468 Vd473)) (rS Vd466 Vd467 Vd473))) (=> (and _let_7 _let_3) (rpoint vskolem1136)) (forall ((Vd874 $$unsorted) (Vd875 $$unsorted) (Vd876 $$unsorted) (Vd877 $$unsorted) (Vd883 $$unsorted) (Vd884 $$unsorted)) (=> (and (not (= Vd883 Vd884)) (not (ron Vd877 Vd883)) (not (= Vd874 Vd875)) (ron Vd876 Vd884) (ron Vd875 Vd883) (ron Vd874 Vd884) (ron Vd874 Vd883) (exists ((Vd882 $$unsorted)) (and (rpoint Vd882) (= Vd882 Vd877))) (exists ((Vd880 $$unsorted)) (and (= Vd880 Vd875) (rpoint Vd880))) (exists ((Vd879 $$unsorted)) (and (= Vd879 Vd874) (rpoint Vd879))) (exists ((Vd881 $$unsorted)) (and (= Vd881 Vd876) (rpoint Vd881))) (exists ((Vd886 $$unsorted)) (and (= Vd886 Vd883) (rline Vd886))) (exists ((Vd887 $$unsorted)) (and (rline Vd887) (= Vd887 Vd884))) (not (= Vd876 Vd874)) (not (ron Vd877 Vd884))) (= (and (rS Vd875 Vd877 Vd884) (rS Vd876 Vd877 Vd883)) (= (vangle Vd875 Vd874 Vd876) (vplus (vangle Vd875 Vd874 Vd877) (vangle Vd877 Vd874 Vd876)))))) (forall ((Vd691 $$unsorted) (Vd692 $$unsorted)) (=> (and (= Vd692 Vd691) (rreal Vd692)) (= (vplus Vd691 v0) Vd691))) (forall ((Vd232 $$unsorted) (Vd233 $$unsorted) (Vd234 $$unsorted) (Vd235 $$unsorted)) (=> (and (rintersect Vd232 Vd234) (= Vd235 Vd234) (rline Vd235) (rline Vd233) (= Vd233 Vd232)) (exists ((Vd236 $$unsorted)) (and (ron Vd236 Vd232) (rpoint Vd236) (ron Vd236 Vd234))))) (forall ((Vd372 $$unsorted) (Vd373 $$unsorted) (Vd374 $$unsorted) (Vd375 $$unsorted)) (=> (and (rR Vd373 Vd372 Vd374) (exists ((Vd380 $$unsorted)) (and (= Vd380 Vd375) (rpoint Vd380))) (exists ((Vd377 $$unsorted)) (and (rpoint Vd377) (= Vd377 Vd372))) (exists ((Vd378 $$unsorted)) (and (rpoint Vd378) (= Vd378 Vd373))) (exists ((Vd379 $$unsorted)) (and (= Vd374 Vd379) (rpoint Vd379))) (rR Vd375 Vd372 Vd373)) (rR Vd375 Vd372 Vd374))) (=> (and _let_5 _let_12) (not (ron vd1125 vskolem1139))) (forall ((Vd52 $$unsorted) (Vd53 $$unsorted)) (=> (and (= Vd53 Vd52) (rline Vd53)) (exists ((Vd54 $$unsorted)) (and (rpoint Vd54) (ron Vd54 Vd52))))) (forall ((Vd786 $$unsorted) (Vd787 $$unsorted)) (=> (and (exists ((Vd790 $$unsorted)) (and (= Vd790 Vd787) (rpoint Vd790))) (exists ((Vd789 $$unsorted)) (and (rpoint Vd789) (= Vd789 Vd786)))) (= (vg Vd786 Vd786 Vd787) v0))) (forall ((Vd594 $$unsorted) (Vd595 $$unsorted) (Vd596 $$unsorted) (Vd601 $$unsorted) (Vd602 $$unsorted) (Vd603 $$unsorted) (Vd604 $$unsorted)) (=> (and (= Vd604 Vd603) (exists ((Vd600 $$unsorted)) (and (rpoint Vd600) (= Vd600 Vd596))) (exists ((Vd598 $$unsorted)) (and (rpoint Vd598) (= Vd594 Vd598))) (exists ((Vd599 $$unsorted)) (and (= Vd595 Vd599) (rpoint Vd599))) (rline Vd602) (= Vd602 Vd601) (rcircle Vd604) (or (ron Vd594 Vd603) (rinside Vd594 Vd603)) (or (rinside Vd595 Vd603) (ron Vd595 Vd603)) (rR Vd596 Vd594 Vd595)) (rinside Vd596 Vd603))) (forall ((Vd225 $$unsorted) (Vd226 $$unsorted)) (=> (and (not (= Vd225 Vd226)) (exists ((Vd230 $$unsorted)) (and (rpoint Vd230) (= Vd230 Vd226))) (exists ((Vd229 $$unsorted)) (and (= Vd225 Vd229) (rpoint Vd229)))) (exists ((Vd231 $$unsorted)) (and (ron Vd226 Vd231) (rcenter Vd225 Vd231) (rcircle Vd231))))) (=> _let_4 (and (rcircle vskolem1146) (ron vd1125 vskolem1145) (ron vd1123 vskolem1145) (rcenter vd1123 vskolem1146) (ron vd1129 vskolem1146))) (forall ((Vd434 $$unsorted) (Vd435 $$unsorted) (Vd439 $$unsorted) (Vd440 $$unsorted)) (=> (and (rS Vd434 Vd435 Vd439) (exists ((Vd437 $$unsorted)) (and (rpoint Vd437) (= Vd437 Vd434))) (exists ((Vd438 $$unsorted)) (and (rpoint Vd438) (= Vd435 Vd438))) (rline Vd440) (= Vd439 Vd440)) (not (ron Vd434 Vd439)))) (forall ((Vd384 $$unsorted) (Vd385 $$unsorted) (Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (and (rR Vd386 Vd385 Vd387) (rR Vd385 Vd384 Vd386) (exists ((Vd392 $$unsorted)) (and (= Vd392 Vd387) (rpoint Vd392))) (exists ((Vd391 $$unsorted)) (and (= Vd391 Vd386) (rpoint Vd391))) (exists ((Vd390 $$unsorted)) (and (rpoint Vd390) (= Vd385 Vd390))) (exists ((Vd389 $$unsorted)) (and (= Vd384 Vd389) (rpoint Vd389)))) (rR Vd385 Vd384 Vd387))) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd403 $$unsorted) (Vd404 $$unsorted)) (=> (and (ron Vd396 Vd403) (not (= Vd397 Vd398)) (not (= Vd396 Vd398)) (not (= Vd396 Vd397)) (exists ((Vd400 $$unsorted)) (and (rpoint Vd400) (= Vd396 Vd400))) (exists ((Vd401 $$unsorted)) (and (= Vd397 Vd401) (rpoint Vd401))) (exists ((Vd402 $$unsorted)) (and (= Vd402 Vd398) (rpoint Vd402))) (rline Vd404) (ron Vd397 Vd403) (ron Vd398 Vd403) (= Vd403 Vd404)) (or (rR Vd396 Vd397 Vd398) (rR Vd398 Vd396 Vd397) (rR Vd397 Vd396 Vd398)))) (forall ((Vd420 $$unsorted) (Vd421 $$unsorted) (Vd422 $$unsorted) (Vd423 $$unsorted)) (=> (and (not (ron Vd420 Vd422)) (rline Vd423) (= Vd421 Vd420) (rpoint Vd421) (= Vd422 Vd423)) (rS Vd420 Vd420 Vd422))) (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (=> (and (ron Vd315 Vd320) (ron Vd315 Vd319) (ron Vd314 Vd320) (exists ((Vd324 $$unsorted)) (and (= Vd320 Vd324) (rline Vd324))) (exists ((Vd323 $$unsorted)) (and (= Vd323 Vd319) (rline Vd323))) (not (= Vd315 Vd314)) (exists ((Vd318 $$unsorted)) (and (= Vd318 Vd315) (rpoint Vd318))) (exists ((Vd317 $$unsorted)) (and (rpoint Vd317) (= Vd317 Vd314))) (ron Vd314 Vd319)) (= Vd319 Vd320))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1050 Vd1049) (not (= Vd1049 Vd1047)) (= Vd1047 Vd1048) (rpoint Vd1048) (rpoint Vd1050)) (= (vf Vd1047 Vd1049) (vf Vd1049 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))))) (forall ((Vd191 $$unsorted) (Vd192 $$unsorted)) (=> (and (= Vd192 Vd191) (rcircle Vd192)) (exists ((Vd193 $$unsorted)) (and (rpoint Vd193) (ron Vd193 Vd191))))) _let_26 _let_25 (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (let ((_let_1 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))) (=> (and (not (= Vd1049 Vd1047)) (rpoint Vd1048) (= Vd1048 Vd1047) (rpoint Vd1050) (= Vd1050 Vd1049)) (= (vf _let_1 Vd1047) (vf Vd1049 _let_1))))) (forall ((Vd894 $$unsorted) (Vd895 $$unsorted) (Vd896 $$unsorted) (Vd897 $$unsorted) (Vd903 $$unsorted) (Vd904 $$unsorted)) (let ((_let_1 (vangle Vd894 Vd896 Vd897))) (=> (and (rline Vd904) (exists ((Vd901 $$unsorted)) (and (rpoint Vd901) (= Vd896 Vd901))) (exists ((Vd899 $$unsorted)) (and (= Vd899 Vd894) (rpoint Vd899))) (exists ((Vd900 $$unsorted)) (and (rpoint Vd900) (= Vd895 Vd900))) (exists ((Vd902 $$unsorted)) (and (rpoint Vd902) (= Vd902 Vd897))) (= Vd904 Vd903) (rR Vd896 Vd894 Vd895) (not (ron Vd897 Vd903))) (= (= vperp _let_1) (= _let_1 (vangle Vd897 Vd896 Vd895)))))) (forall ((Vd516 $$unsorted) (Vd517 $$unsorted) (Vd518 $$unsorted) (Vd523 $$unsorted) (Vd524 $$unsorted) (Vd525 $$unsorted) (Vd526 $$unsorted)) (=> (and (rS Vd525 Vd526 Vd516) (ron Vd526 Vd518) (exists ((Vd531 $$unsorted)) (and (= Vd531 Vd526) (rpoint Vd531))) (exists ((Vd529 $$unsorted)) (and (= Vd529 Vd524) (rpoint Vd529))) (exists ((Vd528 $$unsorted)) (and (= Vd528 Vd523) (rpoint Vd528))) (exists ((Vd522 $$unsorted)) (and (rline Vd522) (= Vd522 Vd518))) (exists ((Vd521 $$unsorted)) (and (= Vd517 Vd521) (rline Vd521))) (exists ((Vd520 $$unsorted)) (and (= Vd516 Vd520) (rline Vd520))) (exists ((Vd530 $$unsorted)) (and (= Vd530 Vd525) (rpoint Vd530))) (ron Vd523 Vd516) (ron Vd523 Vd517) (ron Vd523 Vd518) (ron Vd524 Vd516) (ron Vd525 Vd518) (rS Vd524 Vd525 Vd518)) (not (rS Vd524 Vd526 Vd517)))) (forall ((Vd185 $$unsorted) (Vd186 $$unsorted) (Vd187 $$unsorted) (Vd188 $$unsorted)) (=> (and (rline Vd186) (= Vd185 Vd186) (rpoint Vd188) (not (ron Vd187 Vd185)) (= Vd188 Vd187)) (exists ((Vd189 $$unsorted)) (and (rpoint Vd189) (not (rS Vd189 Vd187 Vd185)))))) (forall ((Vd263 $$unsorted) (Vd264 $$unsorted) (Vd265 $$unsorted) (Vd266 $$unsorted) (Vd267 $$unsorted) (Vd268 $$unsorted) (Vd269 $$unsorted) (Vd270 $$unsorted)) (=> (and (ron Vd269 Vd265) (rpoint Vd270) (ron Vd267 Vd265) (= Vd268 Vd267) (rpoint Vd268) (rline Vd266) (= Vd264 Vd263) (rcircle Vd264) (= Vd265 Vd266) (rinside Vd267 Vd263) (= Vd270 Vd269) (not (= Vd267 Vd269))) (exists ((Vd272 $$unsorted)) (and (rR Vd267 Vd272 Vd269) (rpoint Vd272) (ron Vd272 Vd263) (ron Vd272 Vd265))))) (forall ((Vd425 $$unsorted) (Vd426 $$unsorted) (Vd430 $$unsorted) (Vd431 $$unsorted)) (=> (and (exists ((Vd429 $$unsorted)) (and (rpoint Vd429) (= Vd426 Vd429))) (exists ((Vd428 $$unsorted)) (and (= Vd428 Vd425) (rpoint Vd428))) (rline Vd431) (= Vd430 Vd431) (rS Vd425 Vd426 Vd430)) (rS Vd426 Vd425 Vd430))) (forall ((Vd280 $$unsorted) (Vd281 $$unsorted)) (=> (and (rintersect Vd280 Vd281) (exists ((Vd284 $$unsorted)) (and (= Vd284 Vd281) (rcircle Vd284))) (exists ((Vd283 $$unsorted)) (and (rcircle Vd283) (= Vd283 Vd280)))) (exists ((Vd285 $$unsorted) (Vd286 $$unsorted)) (and (not (= Vd286 Vd285)) (ron Vd285 Vd281) (rpoint Vd285) (ron Vd285 Vd280) (rpoint Vd286) (ron Vd286 Vd280) (ron Vd286 Vd281))))) _let_24 (forall ((Vd159 $$unsorted) (Vd160 $$unsorted) (Vd161 $$unsorted) (Vd162 $$unsorted) (Vd163 $$unsorted) (Vd164 $$unsorted)) (=> (and (= Vd162 Vd161) (= Vd160 Vd159) (rline Vd160) (rpoint Vd162) (not (ron Vd161 Vd159)) (rpoint Vd164) (rS Vd163 Vd161 Vd159) (= Vd163 Vd164)) (exists ((Vd166 $$unsorted)) (and (not (= Vd161 Vd166)) (rS Vd166 Vd161 Vd159) (rpoint Vd166) (not (= Vd163 Vd166)))))) (forall ((Vd61 $$unsorted) (Vd62 $$unsorted) (Vd63 $$unsorted) (Vd64 $$unsorted) (Vd65 $$unsorted) (Vd66 $$unsorted)) (=> (and (ron Vd63 Vd61) (= Vd65 Vd66) (rline Vd62) (= Vd61 Vd62) (rpoint Vd64) (= Vd63 Vd64) (rpoint Vd66) (ron Vd65 Vd61)) (exists ((Vd68 $$unsorted)) (and (not (= Vd63 Vd68)) (rpoint Vd68) (ron Vd68 Vd61) (not (= Vd68 Vd65)))))) (forall ((Vd725 $$unsorted) (Vd726 $$unsorted) (Vd727 $$unsorted) (Vd728 $$unsorted) (Vd729 $$unsorted) (Vd730 $$unsorted)) (=> (and (rless Vd725 Vd727) (rreal Vd726) (= Vd725 Vd726) (rreal Vd728) (= Vd727 Vd728) (rreal Vd730) (= Vd729 Vd730)) (rless (vplus Vd725 Vd729) (vplus Vd727 Vd729)))) (forall ((Vd979 $$unsorted) (Vd980 $$unsorted) (Vd981 $$unsorted) (Vd982 $$unsorted) (Vd988 $$unsorted) (Vd989 $$unsorted)) (=> (and (not (ron Vd982 Vd988)) (= Vd988 Vd989) (not (= Vd980 Vd982)) (not (= Vd981 Vd980)) (not (= Vd979 Vd981)) (not (= Vd979 Vd980)) (exists ((Vd985 $$unsorted)) (and (= Vd980 Vd985) (rpoint Vd985))) (exists ((Vd984 $$unsorted)) (and (= Vd979 Vd984) (rpoint Vd984))) (exists ((Vd986 $$unsorted)) (and (= Vd986 Vd981) (rpoint Vd986))) (exists ((Vd987 $$unsorted)) (and (rpoint Vd987) (= Vd987 Vd982))) (not (= Vd979 Vd982)) (not (= Vd981 Vd982)) (rline Vd989)) (= (= (vplus (vg Vd979 Vd981 Vd982) (vg Vd982 Vd981 Vd980)) (vg Vd979 Vd982 Vd980)) (rR Vd981 Vd979 Vd980)))) (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (=> (and (exists ((Vd744 $$unsorted)) (and (= Vd744 Vd741) (rpoint Vd744))) (exists ((Vd745 $$unsorted)) (and (rpoint Vd745) (= Vd742 Vd745)))) (exists ((Vd747 $$unsorted)) (and (= Vd747 (vf Vd741 Vd742)) (rreal Vd747))))) (forall ((Vd666 $$unsorted) (Vd667 $$unsorted) (Vd671 $$unsorted) (Vd672 $$unsorted)) (=> (and (rinside Vd666 Vd672) (or (ron Vd667 Vd671) (rinside Vd667 Vd671)) (ron Vd666 Vd671) (exists ((Vd675 $$unsorted)) (and (= Vd675 Vd672) (rcircle Vd675))) (exists ((Vd670 $$unsorted)) (and (= Vd667 Vd670) (rpoint Vd670))) (exists ((Vd669 $$unsorted)) (and (= Vd666 Vd669) (rpoint Vd669))) (exists ((Vd674 $$unsorted)) (and (= Vd671 Vd674) (rcircle Vd674))) (not (ron Vd667 Vd672)) (not (rinside Vd667 Vd672))) (rintersect Vd671 Vd672))) (=> _let_8 (ron vskolem1140 vskolem1138)) (forall ((Vd828 $$unsorted) (Vd829 $$unsorted) (Vd830 $$unsorted)) (=> (and (exists ((Vd834 $$unsorted)) (and (rpoint Vd834) (= Vd830 Vd834))) (exists ((Vd833 $$unsorted)) (and (rpoint Vd833) (= Vd833 Vd829))) (exists ((Vd832 $$unsorted)) (and (= Vd832 Vd828) (rpoint Vd832))) (rR Vd829 Vd828 Vd830)) (= (vf Vd828 Vd830) (vplus (vf Vd828 Vd829) (vf Vd829 Vd830))))) (forall ((Vd27 $$unsorted) (Vd28 $$unsorted) (Vd29 $$unsorted)) (=> (and (exists ((Vd33 $$unsorted)) (and (rpoint Vd33) (= Vd29 Vd33))) (exists ((Vd31 $$unsorted)) (and (rpoint Vd31) (= Vd27 Vd31))) (exists ((Vd32 $$unsorted)) (and (= Vd32 Vd28) (rpoint Vd32)))) (exists ((Vd34 $$unsorted)) (and (not (= Vd28 Vd34)) (not (= Vd34 Vd27)) (rpoint Vd34) (not (= Vd34 Vd29)))))) (forall ((Vd699 $$unsorted) (Vd700 $$unsorted) (Vd701 $$unsorted) (Vd702 $$unsorted)) (=> (and (= Vd701 Vd702) (rreal Vd702) (rreal Vd700) (= Vd699 Vd700)) (or (rless Vd699 Vd701) (rless Vd701 Vd699) (= Vd701 Vd699)))) (forall ((Vd636 $$unsorted) (Vd637 $$unsorted) (Vd641 $$unsorted) (Vd642 $$unsorted) (Vd644 $$unsorted) (Vd645 $$unsorted)) (=> (and (ron Vd636 Vd644) (rline Vd645) (rline Vd642) (exists ((Vd640 $$unsorted)) (and (rpoint Vd640) (= Vd637 Vd640))) (exists ((Vd639 $$unsorted)) (and (rpoint Vd639) (= Vd636 Vd639))) (not (rS Vd636 Vd637 Vd641)) (ron Vd637 Vd644) (= Vd644 Vd645) (= Vd642 Vd641)) (rintersect Vd641 Vd644))) (forall ((Vd616 $$unsorted) (Vd617 $$unsorted) (Vd622 $$unsorted) (Vd623 $$unsorted) (Vd630 $$unsorted) (Vd631 $$unsorted) (Vd632 $$unsorted) (Vd633 $$unsorted)) (=> (and (rline Vd633) (rcenter Vd630 Vd616) (not (= Vd623 Vd622)) (ron Vd623 Vd616) (ron Vd622 Vd617) (ron Vd622 Vd616) (exists ((Vd626 $$unsorted)) (and (= Vd626 Vd623) (rpoint Vd626))) (exists ((Vd625 $$unsorted)) (and (rpoint Vd625) (= Vd625 Vd622))) (not (= Vd616 Vd617)) (exists ((Vd620 $$unsorted)) (and (rcircle Vd620) (= Vd620 Vd617))) (exists ((Vd619 $$unsorted)) (and (rcircle Vd619) (= Vd619 Vd616))) (rintersect Vd616 Vd617) (ron Vd623 Vd617) (rcenter Vd631 Vd617) (= Vd632 Vd633) (ron Vd630 Vd632) (ron Vd631 Vd632)) (not (rS Vd622 Vd623 Vd632)))) (forall ((Vd862 $$unsorted) (Vd863 $$unsorted) (Vd864 $$unsorted) (Vd865 $$unsorted) (Vd866 $$unsorted) (Vd867 $$unsorted) (Vd868 $$unsorted) (Vd869 $$unsorted)) (=> (and (ron Vd864 Vd868) (ron Vd862 Vd868) (= Vd869 Vd868) (rpoint Vd865) (rpoint Vd863) (= Vd862 Vd863) (= Vd865 Vd864) (rpoint Vd867) (= Vd867 Vd866) (rline Vd869) (not (= Vd862 Vd864)) (not (= Vd866 Vd862))) (= (and (ron Vd866 Vd868) (not (rR Vd862 Vd864 Vd866))) (= (vangle Vd864 Vd862 Vd866) v0)))) (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 (ron Vd999 Vd1027) (exists ((Vd1026 $$unsorted)) (and (= Vd1026 Vd1015) (rpoint Vd1026))) (exists ((Vd1024 $$unsorted)) (and (= Vd1013 Vd1024) (rpoint Vd1024))) (exists ((Vd1022 $$unsorted)) (and (rpoint Vd1022) (= Vd1022 Vd1011))) (exists ((Vd1021 $$unsorted)) (and (= Vd1010 Vd1021) (rpoint Vd1021))) (exists ((Vd1018 $$unsorted)) (and (rpoint Vd1018) (= Vd1007 Vd1018))) (exists ((Vd1017 $$unsorted)) (and (rpoint Vd1017) (= Vd1017 Vd1006))) (exists ((Vd1003 $$unsorted)) (and (= Vd1003 Vd999) (rpoint Vd1003))) (not (= Vd992 Vd993)) (exists ((Vd998 $$unsorted)) (and (rpoint Vd998) (= Vd998 Vd994))) (exists ((Vd996 $$unsorted)) (and (rpoint Vd996) (= Vd996 Vd992))) (exists ((Vd997 $$unsorted)) (and (rpoint Vd997) (= Vd997 Vd993))) (not (= Vd992 Vd994)) (not (= Vd994 Vd993)) (exists ((Vd1004 $$unsorted)) (and (= Vd1004 Vd1000) (rpoint Vd1004))) (exists ((Vd1005 $$unsorted)) (and (rpoint Vd1005) (= Vd1005 Vd1001))) (exists ((Vd1019 $$unsorted)) (and (rpoint Vd1019) (= Vd1008 Vd1019))) (exists ((Vd1020 $$unsorted)) (and (= Vd1009 Vd1020) (rpoint Vd1020))) (exists ((Vd1023 $$unsorted)) (and (rpoint Vd1023) (= Vd1023 Vd1012))) (exists ((Vd1025 $$unsorted)) (and (= Vd1014 Vd1025) (rpoint Vd1025))) (rline Vd1028) (ron Vd1000 Vd1027) (not (ron Vd1001 Vd1027)) (forall ((Vd1031 $$unsorted) (Vd1032 $$unsorted) (Vd1033 $$unsorted)) (=> (and (ron Vd1032 Vd1027) (= (vangle Vd1031 Vd1033 Vd1032) (vangle Vd992 Vd994 Vd993)) (= (vangle Vd1033 Vd1032 Vd1031) (vangle Vd994 Vd993 Vd992)) (rpoint Vd1033) (rpoint Vd1031) (rpoint Vd1032) (= Vd1031 Vd999) (= (vangle Vd1032 Vd1031 Vd1033) (vangle Vd993 Vd992 Vd994)) (= (vf Vd1031 Vd1032) (vf Vd992 Vd993)) (= (vf Vd993 Vd994) (vf Vd1032 Vd1033)) (= (vf Vd1031 Vd1033) (vf Vd992 Vd994)) (not (rR Vd999 Vd1032 Vd1000)) (rS Vd1033 Vd1001 Vd1027)) (and (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009)) (= (vangle Vd1013 Vd1014 Vd1015) (vangle Vd1010 Vd1011 Vd1012))))) (= Vd1028 Vd1027)) (and (= (vangle Vd1013 Vd1014 Vd1015) (vangle Vd1010 Vd1011 Vd1012)) (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009))))) (forall ((Vd288 $$unsorted) (Vd289 $$unsorted) (Vd293 $$unsorted) (Vd294 $$unsorted) (Vd295 $$unsorted) (Vd296 $$unsorted) (Vd298 $$unsorted)) (=> (and (not (ron Vd298 Vd293)) (rline Vd294) (exists ((Vd291 $$unsorted)) (and (= Vd291 Vd288) (rcircle Vd291))) (exists ((Vd292 $$unsorted)) (and (rcircle Vd292) (= Vd289 Vd292))) (= Vd294 Vd293) (rintersect Vd288 Vd289) (rcenter Vd295 Vd288) (rcenter Vd296 Vd289) (ron Vd295 Vd293) (ron Vd296 Vd293)) (exists ((Vd299 $$unsorted)) (and (ron Vd299 Vd289) (rpoint Vd299) (ron Vd299 Vd288) (rS Vd299 Vd298 Vd293))))) (forall ((Vd808 $$unsorted) (Vd809 $$unsorted) (Vd810 $$unsorted) (Vd811 $$unsorted) (Vd812 $$unsorted) (Vd813 $$unsorted)) (=> (and (= (vangle Vd810 Vd808 Vd809) (vangle Vd813 Vd811 Vd812)) (= (vangle Vd808 Vd809 Vd810) (vangle Vd811 Vd812 Vd813)) (= (vf Vd813 Vd811) (vf Vd810 Vd808)) (= (vf Vd809 Vd810) (vf Vd812 Vd813)) (exists ((Vd820 $$unsorted)) (and (= Vd813 Vd820) (rpoint Vd820))) (exists ((Vd818 $$unsorted)) (and (rpoint Vd818) (= Vd811 Vd818))) (exists ((Vd815 $$unsorted)) (and (rpoint Vd815) (= Vd815 Vd808))) (exists ((Vd816 $$unsorted)) (and (= Vd816 Vd809) (rpoint Vd816))) (exists ((Vd817 $$unsorted)) (and (= Vd817 Vd810) (rpoint Vd817))) (exists ((Vd819 $$unsorted)) (and (rpoint Vd819) (= Vd812 Vd819))) (= (vf Vd811 Vd812) (vf Vd808 Vd809)) (= (vangle Vd809 Vd810 Vd808) (vangle Vd812 Vd813 Vd811))) (= (vg Vd811 Vd812 Vd813) (vg Vd808 Vd809 Vd810)))) _let_23 _let_22 (forall ((Vd340 $$unsorted) (Vd341 $$unsorted) (Vd342 $$unsorted)) (=> (and (rR Vd341 Vd340 Vd342) (exists ((Vd344 $$unsorted)) (and (rpoint Vd344) (= Vd344 Vd340))) (exists ((Vd345 $$unsorted)) (and (rpoint Vd345) (= Vd341 Vd345))) (exists ((Vd346 $$unsorted)) (and (rpoint Vd346) (= Vd342 Vd346)))) (and (not (= Vd340 Vd341)) (rR Vd341 Vd342 Vd340) (not (= Vd340 Vd342)) (not (rR Vd340 Vd341 Vd342))))) (=> _let_17 (and (rcircle vskolem1139) (ron vd1125 vskolem1138) (ron vd1123 vskolem1138) (rcenter vd1123 vskolem1139) (ron vskolem1136 vskolem1139))) (forall ((Vd211 $$unsorted) (Vd212 $$unsorted)) (=> (and (rcircle Vd212) (= Vd212 Vd211)) (exists ((Vd213 $$unsorted)) (and (rpoint Vd213) (rinside Vd213 Vd211))))) (forall ((Vd647 $$unsorted) (Vd648 $$unsorted) (Vd652 $$unsorted) (Vd653 $$unsorted)) (=> (and (or (rinside Vd647 Vd652) (ron Vd647 Vd652)) (exists ((Vd650 $$unsorted)) (and (= Vd647 Vd650) (rpoint Vd650))) (exists ((Vd651 $$unsorted)) (and (= Vd651 Vd648) (rpoint Vd651))) (exists ((Vd655 $$unsorted)) (and (rcircle Vd655) (= Vd655 Vd652))) (exists ((Vd656 $$unsorted)) (and (rcircle Vd656) (= Vd653 Vd656))) (or (rinside Vd648 Vd652) (ron Vd648 Vd652)) (not (exists ((Vd657 $$unsorted)) (rS Vd647 Vd648 Vd657)))) (exists ((Vd659 $$unsorted)) (rintersect Vd659 Vd652)))) (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (=> (and (exists ((Vd751 $$unsorted)) (and (rpoint Vd751) (= Vd751 Vd748))) (exists ((Vd752 $$unsorted)) (and (= Vd749 Vd752) (rpoint Vd752)))) (= (= v0 (vf Vd748 Vd749)) (= Vd749 Vd748)))) (=> _let_4 (ron vskolem1147 vskolem1146)) (forall ((Vd777 $$unsorted) (Vd778 $$unsorted) (Vd779 $$unsorted)) (let ((_let_1 (vangle Vd777 Vd778 Vd779))) (=> (and (exists ((Vd783 $$unsorted)) (and (= Vd783 Vd779) (rpoint Vd783))) (exists ((Vd782 $$unsorted)) (and (= Vd782 Vd778) (rpoint Vd782))) (exists ((Vd781 $$unsorted)) (and (rpoint Vd781) (= Vd781 Vd777)))) (and (rleq v0 _let_1) (rleq _let_1 (vplus vperp vperp)))))) (=> (and _let_12 _let_7) (= _let_14 _let_2)) (forall ((Vd138 $$unsorted) (Vd139 $$unsorted) (Vd140 $$unsorted) (Vd141 $$unsorted) (Vd146 $$unsorted) (Vd147 $$unsorted)) (=> (and (rR Vd141 Vd140 Vd146) (rpoint Vd147) (exists ((Vd144 $$unsorted)) (and (= Vd141 Vd144) (rpoint Vd144))) (exists ((Vd143 $$unsorted)) (and (rpoint Vd143) (= Vd140 Vd143))) (= Vd139 Vd138) (rline Vd139) (ron Vd140 Vd138) (ron Vd141 Vd138) (= Vd147 Vd146)) (exists ((Vd149 $$unsorted)) (and (not (= Vd149 Vd146)) (rpoint Vd149) (rR Vd141 Vd140 Vd149))))) (forall ((Vd755 $$unsorted) (Vd756 $$unsorted)) (=> (and (exists ((Vd759 $$unsorted)) (and (= Vd756 Vd759) (rpoint Vd759))) (exists ((Vd758 $$unsorted)) (and (= Vd758 Vd755) (rpoint Vd758)))) (rleq v0 (vf Vd755 Vd756)))) (forall ((Vd454 $$unsorted) (Vd455 $$unsorted) (Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (and (not (ron Vd456 Vd461)) (rline Vd462) (exists ((Vd460 $$unsorted)) (and (= Vd456 Vd460) (rpoint Vd460))) (exists ((Vd458 $$unsorted)) (and (rpoint Vd458) (= Vd454 Vd458))) (exists ((Vd459 $$unsorted)) (and (= Vd455 Vd459) (rpoint Vd459))) (= Vd462 Vd461) (not (ron Vd454 Vd461)) (not (ron Vd455 Vd461)) (not (rS Vd454 Vd455 Vd461))) (or (rS Vd455 Vd456 Vd461) (rS Vd454 Vd456 Vd461)))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd331 $$unsorted) (Vd332 $$unsorted)) (=> (and (rcircle Vd329) (= Vd328 Vd329) (rcenter Vd331 Vd328) (rcenter Vd332 Vd328)) (= Vd331 Vd332))) (forall ((Vd837 $$unsorted) (Vd838 $$unsorted) (Vd842 $$unsorted) (Vd843 $$unsorted) (Vd844 $$unsorted)) (=> (and (ron Vd838 Vd844) (ron Vd837 Vd843) (rcenter Vd842 Vd843) (exists ((Vd840 $$unsorted)) (and (= Vd840 Vd837) (rpoint Vd840))) (exists ((Vd841 $$unsorted)) (and (rpoint Vd841) (= Vd838 Vd841))) (rcenter Vd842 Vd844) (= (vf Vd842 Vd838) (vf Vd842 Vd837))) (= Vd844 Vd843))) (forall ((Vd660 $$unsorted) (Vd661 $$unsorted) (Vd662 $$unsorted) (Vd663 $$unsorted) (Vd664 $$unsorted) (Vd665 $$unsorted)) (=> (and (rinside Vd660 Vd662) (rline Vd665) (= Vd662 Vd663) (rcircle Vd663) (rpoint Vd661) (= Vd661 Vd660) (= Vd665 Vd664) (ron Vd660 Vd664)) (rintersect Vd664 Vd662))) (forall ((Vd238 $$unsorted) (Vd239 $$unsorted) (Vd240 $$unsorted) (Vd241 $$unsorted)) (=> (and (rintersect Vd240 Vd238) (= Vd240 Vd241) (= Vd239 Vd238) (rcircle Vd239) (rline Vd241)) (exists ((Vd242 $$unsorted)) (and (ron Vd242 Vd240) (rpoint Vd242) (ron Vd242 Vd238))))) (forall ((Vd799 $$unsorted) (Vd800 $$unsorted) (Vd801 $$unsorted)) (let ((_let_1 (vg Vd799 Vd800 Vd801))) (=> (and (exists ((Vd804 $$unsorted)) (and (rpoint Vd804) (= Vd804 Vd800))) (exists ((Vd803 $$unsorted)) (and (= Vd803 Vd799) (rpoint Vd803))) (exists ((Vd805 $$unsorted)) (and (rpoint Vd805) (= Vd801 Vd805)))) (and (= (vg Vd801 Vd799 Vd800) _let_1) (= _let_1 (vg Vd799 Vd801 Vd800)))))) (forall ((Vd537 $$unsorted) (Vd538 $$unsorted) (Vd539 $$unsorted) (Vd544 $$unsorted) (Vd545 $$unsorted) (Vd546 $$unsorted) (Vd547 $$unsorted)) (=> (and (not (ron Vd547 Vd538)) (rS Vd546 Vd547 Vd537) (ron Vd546 Vd538) (ron Vd545 Vd537) (ron Vd544 Vd539) (ron Vd544 Vd538) (exists ((Vd550 $$unsorted)) (and (rpoint Vd550) (= Vd550 Vd545))) (exists ((Vd549 $$unsorted)) (and (rpoint Vd549) (= Vd549 Vd544))) (exists ((Vd541 $$unsorted)) (and (rline Vd541) (= Vd537 Vd541))) (exists ((Vd542 $$unsorted)) (and (rline Vd542) (= Vd538 Vd542))) (exists ((Vd543 $$unsorted)) (and (rline Vd543) (= Vd539 Vd543))) (exists ((Vd551 $$unsorted)) (and (= Vd546 Vd551) (rpoint Vd551))) (exists ((Vd552 $$unsorted)) (and (rpoint Vd552) (= Vd547 Vd552))) (ron Vd544 Vd537) (ron Vd547 Vd539) (not (rS Vd545 Vd547 Vd538)) (not (= Vd544 Vd545))) (rS Vd545 Vd546 Vd539))) (forall ((Vd5 $$unsorted) (Vd6 $$unsorted) (Vd7 $$unsorted) (Vd9 $$unsorted)) (=> (and (= (vtriangle Vd5 Vd6 Vd7) Vd9) (rtriangle Vd9)) (and (not (= Vd7 Vd6)) (not (= Vd5 Vd6)) (exists ((Vd12 $$unsorted)) (and (rpoint Vd12) (= Vd12 Vd6))) (exists ((Vd11 $$unsorted)) (and (rpoint Vd11) (= Vd11 Vd5))) (exists ((Vd13 $$unsorted)) (and (= Vd7 Vd13) (rpoint Vd13))) (not (= Vd7 Vd5))))) (forall ((Vd109 $$unsorted) (Vd110 $$unsorted) (Vd111 $$unsorted) (Vd112 $$unsorted) (Vd113 $$unsorted) (Vd114 $$unsorted)) (=> (and (rR Vd113 Vd111 Vd112) (ron Vd113 Vd109) (exists ((Vd116 $$unsorted)) (and (= Vd116 Vd111) (rpoint Vd116))) (rline Vd110) (= Vd109 Vd110) (exists ((Vd117 $$unsorted)) (and (rpoint Vd117) (= Vd112 Vd117))) (exists ((Vd118 $$unsorted)) (and (rpoint Vd118) (= Vd113 Vd118))) (exists ((Vd119 $$unsorted)) (and (rpoint Vd119) (= Vd114 Vd119))) (ron Vd111 Vd109) (ron Vd112 Vd109) (rR Vd114 Vd111 Vd112)) (exists ((Vd123 $$unsorted)) (and (rR Vd123 Vd111 Vd112) (rpoint Vd123) (not (= Vd123 Vd113)) (not (= Vd123 Vd114)))))) _let_16 (forall ((Vd694 $$unsorted) (Vd695 $$unsorted) (Vd696 $$unsorted) (Vd697 $$unsorted)) (=> (and (rreal Vd695) (= Vd695 Vd694) (rreal Vd697) (= Vd697 Vd696)) (= (vplus Vd694 Vd696) (vplus Vd696 Vd694)))) (forall ((Vd194 $$unsorted) (Vd195 $$unsorted) (Vd196 $$unsorted) (Vd197 $$unsorted)) (=> (and (= Vd195 Vd194) (rcircle Vd195) (rpoint Vd197) (= Vd197 Vd196) (ron Vd196 Vd194)) (exists ((Vd198 $$unsorted)) (and (not (= Vd196 Vd198)) (ron Vd198 Vd194) (rpoint Vd198))))) (forall ((Vd408 $$unsorted) (Vd409 $$unsorted) (Vd410 $$unsorted) (Vd411 $$unsorted)) (=> (and (rR Vd409 Vd408 Vd410) (exists ((Vd416 $$unsorted)) (and (= Vd411 Vd416) (rpoint Vd416))) (exists ((Vd415 $$unsorted)) (and (= Vd410 Vd415) (rpoint Vd415))) (exists ((Vd414 $$unsorted)) (and (rpoint Vd414) (= Vd414 Vd409))) (exists ((Vd413 $$unsorted)) (and (= Vd413 Vd408) (rpoint Vd413))) (rR Vd409 Vd408 Vd411)) (not (rR Vd409 Vd410 Vd411)))) (forall ((Vd275 $$unsorted) (Vd276 $$unsorted) (Vd277 $$unsorted) (Vd278 $$unsorted)) (=> (and (rintersect Vd275 Vd277) (= Vd278 Vd277) (rcircle Vd278) (= Vd276 Vd275) (rcircle Vd276)) (exists ((Vd279 $$unsorted)) (and (ron Vd279 Vd275) (rpoint Vd279) (ron Vd279 Vd277))))) (=> _let_13 (rline vskolem1138)) (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (=> (and (exists ((Vd221 $$unsorted)) (and (= Vd221 Vd218) (rpoint Vd221))) (exists ((Vd220 $$unsorted)) (and (rpoint Vd220) (= Vd217 Vd220))) (not (= Vd217 Vd218))) (exists ((Vd223 $$unsorted)) (and (ron Vd218 Vd223) (rline Vd223) (ron Vd217 Vd223))))) (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 ((Vd558 $$unsorted) (Vd559 $$unsorted) (Vd560 $$unsorted) (Vd565 $$unsorted) (Vd566 $$unsorted) (Vd567 $$unsorted) (Vd568 $$unsorted) (Vd577 $$unsorted)) (=> (and (ron Vd566 Vd558) (ron Vd565 Vd560) (exists ((Vd573 $$unsorted)) (and (rpoint Vd573) (= Vd573 Vd568))) (exists ((Vd571 $$unsorted)) (and (= Vd571 Vd566) (rpoint Vd571))) (exists ((Vd562 $$unsorted)) (and (rline Vd562) (= Vd558 Vd562))) (exists ((Vd563 $$unsorted)) (and (= Vd563 Vd559) (rline Vd563))) (exists ((Vd564 $$unsorted)) (and (= Vd564 Vd560) (rline Vd564))) (exists ((Vd570 $$unsorted)) (and (= Vd565 Vd570) (rpoint Vd570))) (exists ((Vd572 $$unsorted)) (and (rpoint Vd572) (= Vd567 Vd572))) (ron Vd565 Vd558) (ron Vd565 Vd559) (ron Vd567 Vd559) (ron Vd568 Vd560) (rS Vd567 Vd568 Vd558) (rS Vd566 Vd567 Vd560) (rS Vd568 Vd577 Vd559) (rS Vd567 Vd577 Vd560)) (rS Vd567 Vd577 Vd558))) (forall ((Vd761 $$unsorted) (Vd762 $$unsorted)) (=> (and (exists ((Vd765 $$unsorted)) (and (rpoint Vd765) (= Vd765 Vd762))) (exists ((Vd764 $$unsorted)) (and (= Vd761 Vd764) (rpoint Vd764)))) (= (vf Vd762 Vd761) (vf Vd761 Vd762)))) (forall ((Vd478 $$unsorted) (Vd479 $$unsorted) (Vd480 $$unsorted) (Vd485 $$unsorted) (Vd486 $$unsorted)) (=> (and (rR Vd479 Vd478 Vd480) (rline Vd486) (exists ((Vd484 $$unsorted)) (and (rpoint Vd484) (= Vd480 Vd484))) (exists ((Vd482 $$unsorted)) (and (rpoint Vd482) (= Vd482 Vd478))) (exists ((Vd483 $$unsorted)) (and (= Vd479 Vd483) (rpoint Vd483))) (= Vd486 Vd485) (ron Vd478 Vd485) (not (ron Vd479 Vd485))) (rS Vd479 Vd480 Vd485))) (forall ((Vd489 $$unsorted) (Vd490 $$unsorted) (Vd491 $$unsorted) (Vd496 $$unsorted) (Vd497 $$unsorted)) (=> (and (= Vd497 Vd496) (exists ((Vd495 $$unsorted)) (and (rpoint Vd495) (= Vd495 Vd491))) (exists ((Vd493 $$unsorted)) (and (= Vd489 Vd493) (rpoint Vd493))) (exists ((Vd494 $$unsorted)) (and (= Vd490 Vd494) (rpoint Vd494))) (rline Vd497) (rR Vd490 Vd489 Vd491) (ron Vd490 Vd496)) (not (rS Vd489 Vd491 Vd496)))) (forall ((Vd847 $$unsorted) (Vd848 $$unsorted) (Vd849 $$unsorted) (Vd850 $$unsorted) (Vd851 $$unsorted) (Vd852 $$unsorted)) (=> (and (= Vd851 Vd852) (rcenter Vd849 Vd850) (= Vd847 Vd848) (rpoint Vd848) (rpoint Vd852) (ron Vd851 Vd850)) (= (ron Vd847 Vd850) (= (vf Vd849 Vd847) (vf Vd849 Vd851))))) (=> _let_6 (= _let_2 (vf vd1123 vskolem1147))) (=> _let_6 (not (rinside vd1125 vskolem1146))) (forall ((Vd958 $$unsorted) (Vd959 $$unsorted) (Vd960 $$unsorted)) (=> (and (exists ((Vd964 $$unsorted)) (and (= Vd964 Vd960) (rpoint Vd964))) (exists ((Vd963 $$unsorted)) (and (= Vd959 Vd963) (rpoint Vd963))) (exists ((Vd962 $$unsorted)) (and (= Vd962 Vd958) (rpoint Vd962)))) (exists ((Vd966 $$unsorted)) (and (rreal Vd966) (= (vg Vd958 Vd959 Vd960) Vd966))))) (forall ((Vd214 $$unsorted) (Vd215 $$unsorted)) (=> (and (= Vd215 Vd214) (rcircle Vd215)) (exists ((Vd216 $$unsorted)) (and (rpoint Vd216) (not (rinside Vd216 Vd214)) (not (ron Vd216 Vd214)))))) (=> _let_6 (ron vskolem1147 vskolem1145)) (=> _let_15 (= _let_1 _let_14)) (forall ((Vd19 $$unsorted) (Vd20 $$unsorted)) (=> (and (exists ((Vd22 $$unsorted)) (and (rpoint Vd22) (= Vd22 Vd19))) (exists ((Vd23 $$unsorted)) (and (= Vd20 Vd23) (rpoint Vd23)))) (exists ((Vd24 $$unsorted)) (and (not (= Vd20 Vd24)) (not (= Vd24 Vd19)) (rpoint Vd24))))) (forall ((Vd713 $$unsorted) (Vd714 $$unsorted)) (=> (and (= Vd713 Vd714) (rreal Vd714)) (not (rless Vd713 Vd713)))) (forall ((Vd55 $$unsorted) (Vd56 $$unsorted) (Vd57 $$unsorted) (Vd58 $$unsorted)) (=> (and (= Vd57 Vd58) (= Vd55 Vd56) (rline Vd56) (rpoint Vd58) (ron Vd57 Vd55)) (exists ((Vd59 $$unsorted)) (and (not (= Vd59 Vd57)) (ron Vd59 Vd55) (rpoint Vd59))))) (=> _let_6 (rpoint vskolem1147)) (=> _let_13 (rR vskolem1140 vd1123 vd1125)) (=> _let_6 (rR vskolem1147 vd1123 vd1125)) (forall ((Vd581 $$unsorted) (Vd582 $$unsorted) (Vd583 $$unsorted) (Vd588 $$unsorted) (Vd589 $$unsorted) (Vd590 $$unsorted) (Vd591 $$unsorted)) (=> (and (not (= Vd583 Vd582)) (ron Vd582 Vd590) (rinside Vd581 Vd590) (ron Vd582 Vd588) (= Vd588 Vd589) (exists ((Vd587 $$unsorted)) (and (= Vd583 Vd587) (rpoint Vd587))) (exists ((Vd586 $$unsorted)) (and (rpoint Vd586) (= Vd582 Vd586))) (exists ((Vd585 $$unsorted)) (and (= Vd581 Vd585) (rpoint Vd585))) (rline Vd589) (rcircle Vd591) (= Vd591 Vd590) (ron Vd581 Vd588) (ron Vd583 Vd588) (ron Vd583 Vd590)) (rR Vd581 Vd582 Vd583))) (forall ((Vd352 $$unsorted) (Vd353 $$unsorted) (Vd354 $$unsorted) (Vd359 $$unsorted) (Vd360 $$unsorted)) (=> (and (= Vd359 Vd360) (ron Vd352 Vd359) (rR Vd353 Vd352 Vd354) (rline Vd360) (exists ((Vd358 $$unsorted)) (and (= Vd354 Vd358) (rpoint Vd358))) (exists ((Vd356 $$unsorted)) (and (rpoint Vd356) (= Vd356 Vd352))) (exists ((Vd357 $$unsorted)) (and (= Vd353 Vd357) (rpoint Vd357))) (ron Vd353 Vd359)) (ron Vd354 Vd359))) (forall ((Vd152 $$unsorted) (Vd153 $$unsorted) (Vd154 $$unsorted) (Vd155 $$unsorted)) (=> (and (= Vd155 Vd154) (rpoint Vd155) (rline Vd153) (= Vd152 Vd153) (not (ron Vd154 Vd152))) (exists ((Vd156 $$unsorted)) (and (rpoint Vd156) (rS Vd156 Vd154 Vd152) (not (= Vd154 Vd156)))))) _let_10 (forall ((Vd170 $$unsorted) (Vd171 $$unsorted) (Vd172 $$unsorted) (Vd173 $$unsorted) (Vd174 $$unsorted) (Vd175 $$unsorted) (Vd177 $$unsorted) (Vd178 $$unsorted)) (=> (and (= Vd172 Vd173) (= Vd175 Vd174) (rS Vd177 Vd172 Vd170) (rS Vd174 Vd172 Vd170) (rpoint Vd175) (not (ron Vd172 Vd170)) (rline Vd171) (= Vd170 Vd171) (rpoint Vd173) (rpoint Vd178) (= Vd178 Vd177)) (exists ((Vd180 $$unsorted)) (and (not (= Vd174 Vd180)) (not (= Vd180 Vd172)) (rpoint Vd180) (rS Vd180 Vd172 Vd170) (not (= Vd177 Vd180)))))) (=> _let_4 (rline vskolem1145)) (forall ((Vd706 $$unsorted) (Vd707 $$unsorted) (Vd708 $$unsorted) (Vd709 $$unsorted)) (=> (and (rreal Vd709) (= Vd706 Vd707) (rreal Vd707) (= Vd709 Vd708) (rless Vd706 Vd708)) (or (= Vd708 Vd706) (not (rless Vd708 Vd706))))) (=> _let_8 (rpoint vskolem1140)) (forall ((Vd767 $$unsorted) (Vd768 $$unsorted) (Vd769 $$unsorted)) (=> (and (not (= Vd767 Vd769)) (not (= Vd767 Vd768)) (exists ((Vd773 $$unsorted)) (and (rpoint Vd773) (= Vd769 Vd773))) (exists ((Vd772 $$unsorted)) (and (rpoint Vd772) (= Vd768 Vd772))) (exists ((Vd771 $$unsorted)) (and (= Vd771 Vd767) (rpoint Vd771)))) (= (vangle Vd767 Vd768 Vd769) (vangle Vd769 Vd768 Vd767)))) (forall ((Vd676 $$unsorted) (Vd677 $$unsorted) (Vd681 $$unsorted) (Vd682 $$unsorted)) (=> (and (ron Vd677 Vd682) (rinside Vd676 Vd682) (rinside Vd677 Vd681) (exists ((Vd679 $$unsorted)) (and (rpoint Vd679) (= Vd679 Vd676))) (exists ((Vd680 $$unsorted)) (and (= Vd680 Vd677) (rpoint Vd680))) (ron Vd676 Vd681)) (rintersect Vd681 Vd682))) (forall ((Vd336 $$unsorted) (Vd337 $$unsorted) (Vd338 $$unsorted) (Vd339 $$unsorted)) (=> (and (rinside Vd336 Vd338) (rcircle Vd339) (= Vd337 Vd336) (rpoint Vd337) (= Vd339 Vd338)) (not (ron Vd336 Vd338)))) (=> (and _let_5 _let_3) (= _let_2 _let_1)) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (exists ((Vd1072 $$unsorted)) (and (= Vd1072 Vd1069) (rpoint Vd1072))) (exists ((Vd1073 $$unsorted)) (and (rpoint Vd1073) (= Vd1073 Vd1070))) (not (= Vd1070 Vd1069))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (= Vd1074 Vd1075) (not (= Vd1074 Vd1069)) (rpoint Vd1075) (not (= Vd1074 Vd1070))) (rpoint (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070)))))) (forall ((Vd606 $$unsorted) (Vd607 $$unsorted) (Vd608 $$unsorted) (Vd613 $$unsorted) (Vd614 $$unsorted)) (let ((_let_1 (not (ron Vd607 Vd613)))) (=> (and (not (rinside Vd608 Vd613)) (exists ((Vd611 $$unsorted)) (and (rpoint Vd611) (= Vd611 Vd607))) (exists ((Vd610 $$unsorted)) (and (= Vd610 Vd606) (rpoint Vd610))) (exists ((Vd612 $$unsorted)) (and (rpoint Vd612) (= Vd608 Vd612))) (rcircle Vd614) (= Vd613 Vd614) (or (ron Vd606 Vd613) (rinside Vd606 Vd613)) (rR Vd608 Vd606 Vd607)) (and _let_1 _let_1)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 8.79/8.99 % SZS output end Proof for theBenchmark 8.79/8.99 EOF