0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : do_cvc5 %s %d 0.12/0.34 % Computer : n003.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 04:43:21 EDT 2022 0.12/0.35 % CPUTime : 0.20/0.51 %----Proving TF0_NAR, FOF, or CNF 10.55/11.20 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 10.55/11.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 10.55/11.20 --- Run --no-e-matching --full-saturate-quant at 5... 10.55/11.20 % SZS status Theorem for theBenchmark 10.55/11.20 % SZS output start Proof for theBenchmark 10.55/11.20 (let ((_let_1 (not (exists ((Vd1416 $$unsorted)) (and (ron vd1401 Vd1416) (rline Vd1416) (ron vd1399 Vd1416)))))) (let ((_let_2 (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (=> (and (not (= Vd217 Vd218)) (exists ((Vd220 $$unsorted)) (and (= Vd217 Vd220) (rpoint Vd220))) (exists ((Vd221 $$unsorted)) (and (= Vd218 Vd221) (rpoint Vd221)))) (exists ((Vd223 $$unsorted)) (and (ron Vd218 Vd223) (rline Vd223) (ron Vd217 Vd223))))))) (let ((_let_3 (= vd1406 vd1407))) (let ((_let_4 (ron vd1400 vd1406))) (let ((_let_5 (rline vd1407))) (let ((_let_6 (not (= vd1401 vd1400)))) (let ((_let_7 (not (= vd1399 vd1400)))) (let ((_let_8 (ron vd1399 vd1406))) (let ((_let_9 (and _let_8 (not (= vd1401 vd1399)) (exists ((Vd1403 $$unsorted)) (and (= Vd1403 vd1399) (rpoint Vd1403))) (exists ((Vd1404 $$unsorted)) (and (= Vd1404 vd1400) (rpoint Vd1404))) (exists ((Vd1405 $$unsorted)) (and (rpoint Vd1405) (= Vd1405 vd1401))) _let_7 _let_6 _let_5 _let_4 _let_3))) (let ((_let_10 (= v0 vd684))) (let ((_let_11 (= vd1399 vd1401))) (let ((_let_12 (rpoint vd1399))) (let ((_let_13 (rpoint vd1401))) (let ((_let_14 (forall ((Vd223 $$unsorted)) (or (not (ron vd1401 Vd223)) (not (rline Vd223)) (not (ron vd1399 Vd223)))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_13))) (let ((_let_17 (not _let_12))) (let ((_let_18 (or _let_11 _let_17 _let_16 _let_15))) (let ((_let_19 (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_20 (ASSUME :args (_let_9)))) (let ((_let_21 (EQ_RESOLVE _let_20 (TRANS _let_19 (MACRO_SR_EQ_INTRO (AND_INTRO (AND_ELIM (EQ_RESOLVE _let_20 _let_19) :args (9)) (ASSUME :args (_let_10))) :args ((and _let_8 (not _let_11) _let_12 (rpoint vd1400) _let_13 _let_7 _let_6 _let_5 _let_4 _let_3) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_22 (forall ((Vd1416 $$unsorted)) (or (not (ron vd1401 Vd1416)) (not (rline Vd1416)) (not (ron vd1399 Vd1416)))))) (let ((_let_23 (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (or (= Vd217 Vd218) (not (rpoint Vd217)) (not (rpoint Vd218)) (not (forall ((Vd223 $$unsorted)) (or (not (ron Vd218 Vd223)) (not (rline Vd223)) (not (ron Vd217 Vd223))))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_11 _let_17 _let_16 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (vd1399 vd1401 QUANTIFIERS_INST_ENUM)) :args (_let_23))) _let_24 :args (_let_18 false _let_23)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_22 (= Vd1416 Vd223)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_14 false _let_22)) (AND_ELIM _let_21 :args (4)) (AND_ELIM _let_21 :args (2)) (AND_ELIM _let_21 :args (1)) :args (false false _let_18 false _let_14 false _let_13 false _let_12 true _let_11)) :args ((forall ((Vd372 $$unsorted) (Vd373 $$unsorted) (Vd374 $$unsorted) (Vd375 $$unsorted)) (=> (and (exists ((Vd377 $$unsorted)) (and (rpoint Vd377) (= Vd372 Vd377))) (exists ((Vd378 $$unsorted)) (and (rpoint Vd378) (= Vd373 Vd378))) (exists ((Vd379 $$unsorted)) (and (rpoint Vd379) (= Vd374 Vd379))) (exists ((Vd380 $$unsorted)) (and (rpoint Vd380) (= Vd375 Vd380))) (rR Vd373 Vd372 Vd374) (rR Vd375 Vd372 Vd373)) (rR Vd375 Vd372 Vd374))) (forall ((Vd516 $$unsorted) (Vd517 $$unsorted) (Vd518 $$unsorted) (Vd523 $$unsorted) (Vd524 $$unsorted) (Vd525 $$unsorted) (Vd526 $$unsorted)) (=> (and (rS Vd525 Vd526 Vd516) (ron Vd526 Vd518) (ron Vd523 Vd517) (exists ((Vd531 $$unsorted)) (and (= Vd531 Vd526) (rpoint Vd531))) (exists ((Vd530 $$unsorted)) (and (= Vd525 Vd530) (rpoint Vd530))) (exists ((Vd528 $$unsorted)) (and (= Vd523 Vd528) (rpoint Vd528))) (exists ((Vd520 $$unsorted)) (and (rline Vd520) (= Vd520 Vd516))) (exists ((Vd521 $$unsorted)) (and (= Vd521 Vd517) (rline Vd521))) (exists ((Vd522 $$unsorted)) (and (= Vd518 Vd522) (rline Vd522))) (exists ((Vd529 $$unsorted)) (and (rpoint Vd529) (= Vd529 Vd524))) (ron Vd523 Vd516) (ron Vd523 Vd518) (ron Vd524 Vd516) (ron Vd525 Vd518) (rS Vd524 Vd525 Vd518)) (not (rS Vd524 Vd526 Vd517)))) (forall ((Vd761 $$unsorted) (Vd762 $$unsorted)) (=> (and (exists ((Vd764 $$unsorted)) (and (rpoint Vd764) (= Vd761 Vd764))) (exists ((Vd765 $$unsorted)) (and (rpoint Vd765) (= Vd765 Vd762)))) (= (vf Vd761 Vd762) (vf Vd762 Vd761)))) (forall ((Vd170 $$unsorted) (Vd171 $$unsorted) (Vd172 $$unsorted) (Vd173 $$unsorted) (Vd174 $$unsorted) (Vd175 $$unsorted) (Vd177 $$unsorted) (Vd178 $$unsorted)) (=> (and (rpoint Vd175) (not (ron Vd172 Vd170)) (rpoint Vd173) (= Vd171 Vd170) (rline Vd171) (rS Vd174 Vd172 Vd170) (rpoint Vd178) (rS Vd177 Vd172 Vd170) (= Vd177 Vd178) (= Vd174 Vd175) (= Vd173 Vd172)) (exists ((Vd180 $$unsorted)) (and (not (= Vd180 Vd177)) (not (= Vd180 Vd174)) (rpoint Vd180) (rS Vd180 Vd172 Vd170) (not (= Vd172 Vd180)))))) (forall ((Vd594 $$unsorted) (Vd595 $$unsorted) (Vd596 $$unsorted) (Vd601 $$unsorted) (Vd602 $$unsorted) (Vd603 $$unsorted) (Vd604 $$unsorted)) (=> (and (rR Vd596 Vd594 Vd595) (= Vd603 Vd604) (rcircle Vd604) (rline Vd602) (exists ((Vd600 $$unsorted)) (and (rpoint Vd600) (= Vd596 Vd600))) (exists ((Vd598 $$unsorted)) (and (rpoint Vd598) (= Vd594 Vd598))) (exists ((Vd599 $$unsorted)) (and (= Vd595 Vd599) (rpoint Vd599))) (= Vd601 Vd602) (or (rinside Vd594 Vd603) (ron Vd594 Vd603)) (or (rinside Vd595 Vd603) (ron Vd595 Vd603))) (rinside Vd596 Vd603))) (forall ((Vd478 $$unsorted) (Vd479 $$unsorted) (Vd480 $$unsorted) (Vd485 $$unsorted) (Vd486 $$unsorted)) (=> (and (ron Vd478 Vd485) (rR Vd479 Vd478 Vd480) (rline Vd486) (exists ((Vd483 $$unsorted)) (and (rpoint Vd483) (= Vd483 Vd479))) (exists ((Vd482 $$unsorted)) (and (= Vd478 Vd482) (rpoint Vd482))) (exists ((Vd484 $$unsorted)) (and (rpoint Vd484) (= Vd484 Vd480))) (= Vd486 Vd485) (not (ron Vd479 Vd485))) (rS Vd479 Vd480 Vd485))) (forall ((Vd200 $$unsorted) (Vd201 $$unsorted) (Vd202 $$unsorted) (Vd203 $$unsorted)) (=> (and (ron Vd202 Vd200) (= Vd200 Vd201) (rcircle Vd201) (exists ((Vd205 $$unsorted)) (and (= Vd205 Vd202) (rpoint Vd205))) (exists ((Vd206 $$unsorted)) (and (= Vd203 Vd206) (rpoint Vd206))) (ron Vd203 Vd200)) (exists ((Vd208 $$unsorted)) (and (ron Vd208 Vd200) (rpoint Vd208) (not (= Vd202 Vd208)) (not (= Vd203 Vd208)))))) (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (=> (and (ron Vd315 Vd319) (exists ((Vd324 $$unsorted)) (and (= Vd320 Vd324) (rline Vd324))) (exists ((Vd323 $$unsorted)) (and (rline Vd323) (= Vd319 Vd323))) (not (= Vd315 Vd314)) (exists ((Vd318 $$unsorted)) (and (rpoint Vd318) (= Vd318 Vd315))) (exists ((Vd317 $$unsorted)) (and (= Vd317 Vd314) (rpoint Vd317))) (ron Vd314 Vd319) (ron Vd314 Vd320) (ron Vd315 Vd320)) (= Vd319 Vd320))) (forall ((Vd967 $$unsorted) (Vd968 $$unsorted) (Vd969 $$unsorted) (Vd974 $$unsorted) (Vd975 $$unsorted)) (=> (and (= Vd974 Vd975) (exists ((Vd971 $$unsorted)) (and (= Vd967 Vd971) (rpoint Vd971))) (exists ((Vd972 $$unsorted)) (and (rpoint Vd972) (= Vd972 Vd968))) (exists ((Vd973 $$unsorted)) (and (rpoint Vd973) (= Vd969 Vd973))) (rline Vd975) (not (= Vd967 Vd968)) (ron Vd967 Vd974) (ron Vd968 Vd974)) (= (= (vg Vd967 Vd968 Vd969) v0) (ron Vd969 Vd974)))) (forall ((Vd288 $$unsorted) (Vd289 $$unsorted) (Vd293 $$unsorted) (Vd294 $$unsorted) (Vd295 $$unsorted) (Vd296 $$unsorted) (Vd298 $$unsorted)) (=> (and (ron Vd296 Vd293) (ron Vd295 Vd293) (rcenter Vd295 Vd288) (rintersect Vd288 Vd289) (= Vd293 Vd294) (rline Vd294) (exists ((Vd292 $$unsorted)) (and (= Vd292 Vd289) (rcircle Vd292))) (exists ((Vd291 $$unsorted)) (and (rcircle Vd291) (= Vd288 Vd291))) (rcenter Vd296 Vd289) (not (ron Vd298 Vd293))) (exists ((Vd299 $$unsorted)) (and (rS Vd299 Vd298 Vd293) (ron Vd299 Vd289) (rpoint Vd299) (ron Vd299 Vd288))))) (forall ((Vd225 $$unsorted) (Vd226 $$unsorted)) (=> (and (exists ((Vd229 $$unsorted)) (and (= Vd229 Vd225) (rpoint Vd229))) (exists ((Vd230 $$unsorted)) (and (= Vd230 Vd226) (rpoint Vd230))) (not (= Vd226 Vd225))) (exists ((Vd231 $$unsorted)) (and (ron Vd226 Vd231) (rcenter Vd225 Vd231) (rcircle Vd231))))) _let_10 (forall ((Vd755 $$unsorted) (Vd756 $$unsorted)) (=> (and (exists ((Vd759 $$unsorted)) (and (= Vd756 Vd759) (rpoint Vd759))) (exists ((Vd758 $$unsorted)) (and (rpoint Vd758) (= Vd755 Vd758)))) (rleq v0 (vf Vd755 Vd756)))) (forall ((Vd408 $$unsorted) (Vd409 $$unsorted) (Vd410 $$unsorted) (Vd411 $$unsorted)) (=> (and (exists ((Vd416 $$unsorted)) (and (rpoint Vd416) (= Vd411 Vd416))) (exists ((Vd413 $$unsorted)) (and (rpoint Vd413) (= Vd413 Vd408))) (exists ((Vd414 $$unsorted)) (and (= Vd414 Vd409) (rpoint Vd414))) (exists ((Vd415 $$unsorted)) (and (= Vd410 Vd415) (rpoint Vd415))) (rR Vd409 Vd408 Vd410) (rR Vd409 Vd408 Vd411)) (not (rR Vd409 Vd410 Vd411)))) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted) (Vd246 $$unsorted) (Vd247 $$unsorted)) (=> (and (rline Vd247) (= Vd244 Vd245) (rcircle Vd245) (= Vd247 Vd246) (rintersect Vd246 Vd244)) (exists ((Vd248 $$unsorted) (Vd250 $$unsorted)) (and (not (= Vd250 Vd248)) (rpoint Vd250) (rpoint Vd248) (ron Vd248 Vd246) (ron Vd248 Vd244) (ron Vd250 Vd246) (ron Vd250 Vd244))))) (= (vf vd1399 vd1401) (vf vd1399 vd1409)) (forall ((Vd152 $$unsorted) (Vd153 $$unsorted) (Vd154 $$unsorted) (Vd155 $$unsorted)) (=> (and (= Vd155 Vd154) (rpoint Vd155) (= Vd152 Vd153) (rline Vd153) (not (ron Vd154 Vd152))) (exists ((Vd156 $$unsorted)) (and (not (= Vd154 Vd156)) (rpoint Vd156) (rS Vd156 Vd154 Vd152))))) (not (= vd1409 vd1401)) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd306 $$unsorted) (Vd307 $$unsorted) (Vd308 $$unsorted) (Vd309 $$unsorted) (Vd311 $$unsorted)) (=> (and (ron Vd308 Vd306) (rcenter Vd308 Vd301) (= Vd307 Vd306) (exists ((Vd304 $$unsorted)) (and (rcircle Vd304) (= Vd301 Vd304))) (exists ((Vd305 $$unsorted)) (and (= Vd305 Vd302) (rcircle Vd305))) (rline Vd307) (rintersect Vd301 Vd302) (rcenter Vd309 Vd302) (ron Vd309 Vd306) (not (ron Vd311 Vd306))) (exists ((Vd312 $$unsorted)) (and (not (rS Vd312 Vd311 Vd306)) (ron Vd312 Vd302) (ron Vd312 Vd301) (rpoint Vd312))))) (forall ((Vd558 $$unsorted) (Vd559 $$unsorted) (Vd560 $$unsorted) (Vd565 $$unsorted) (Vd566 $$unsorted) (Vd567 $$unsorted) (Vd568 $$unsorted) (Vd577 $$unsorted)) (=> (and (rS Vd568 Vd577 Vd559) (rS Vd567 Vd568 Vd558) (ron Vd567 Vd559) (ron Vd565 Vd560) (ron Vd565 Vd559) (ron Vd565 Vd558) (exists ((Vd573 $$unsorted)) (and (rpoint Vd573) (= Vd568 Vd573))) (exists ((Vd571 $$unsorted)) (and (= Vd571 Vd566) (rpoint Vd571))) (exists ((Vd564 $$unsorted)) (and (rline Vd564) (= Vd564 Vd560))) (exists ((Vd563 $$unsorted)) (and (rline Vd563) (= Vd559 Vd563))) (exists ((Vd562 $$unsorted)) (and (rline Vd562) (= Vd558 Vd562))) (exists ((Vd570 $$unsorted)) (and (= Vd565 Vd570) (rpoint Vd570))) (exists ((Vd572 $$unsorted)) (and (rpoint Vd572) (= Vd567 Vd572))) (ron Vd566 Vd558) (ron Vd568 Vd560) (rS Vd566 Vd567 Vd560) (rS Vd567 Vd577 Vd560)) (rS Vd567 Vd577 Vd558))) (forall ((Vd1271 $$unsorted) (Vd1272 $$unsorted) (Vd1273 $$unsorted)) (=> (and (not (= Vd1271 Vd1273)) (exists ((Vd1277 $$unsorted)) (and (= Vd1277 Vd1273) (rpoint Vd1277))) (exists ((Vd1275 $$unsorted)) (and (rpoint Vd1275) (= Vd1275 Vd1271))) (exists ((Vd1276 $$unsorted)) (and (rpoint Vd1276) (= Vd1276 Vd1272))) (not (= Vd1272 Vd1271)) (not (= Vd1272 Vd1273)) (= (vf Vd1271 Vd1272) (vf Vd1271 Vd1273))) (forall ((Vd1279 $$unsorted) (Vd1280 $$unsorted) (Vd1282 $$unsorted) (Vd1283 $$unsorted)) (=> (and (= Vd1283 Vd1282) (rpoint Vd1283) (rR Vd1272 Vd1271 Vd1279) (rpoint Vd1280) (rR Vd1273 Vd1271 Vd1282) (= Vd1279 Vd1280)) (= (vangle Vd1273 Vd1272 Vd1279) (vangle Vd1272 Vd1273 Vd1282)))))) (forall ((Vd1109 $$unsorted) (Vd1110 $$unsorted) (Vd1111 $$unsorted) (Vd1112 $$unsorted) (Vd1113 $$unsorted) (Vd1114 $$unsorted) (Vd1115 $$unsorted) (Vd1116 $$unsorted)) (=> (and (rless (vf Vd1113 Vd1115) (vf Vd1109 Vd1111)) (not (= Vd1111 Vd1109)) (rpoint Vd1116) (= Vd1112 Vd1111) (= Vd1110 Vd1109) (rpoint Vd1110) (rpoint Vd1112) (rpoint Vd1114) (= Vd1113 Vd1114) (= Vd1115 Vd1116) (not (= Vd1115 Vd1113))) (rR (vskolem1120 Vd1109 Vd1110 Vd1111 Vd1112 Vd1113 Vd1114 Vd1115 Vd1116) Vd1109 Vd1111))) (forall ((Vd352 $$unsorted) (Vd353 $$unsorted) (Vd354 $$unsorted) (Vd359 $$unsorted) (Vd360 $$unsorted)) (=> (and (ron Vd352 Vd359) (rR Vd353 Vd352 Vd354) (exists ((Vd358 $$unsorted)) (and (= Vd358 Vd354) (rpoint Vd358))) (exists ((Vd356 $$unsorted)) (and (rpoint Vd356) (= Vd356 Vd352))) (exists ((Vd357 $$unsorted)) (and (rpoint Vd357) (= Vd357 Vd353))) (rline Vd360) (ron Vd353 Vd359) (= Vd359 Vd360)) (ron Vd354 Vd359))) (forall ((Vd676 $$unsorted) (Vd677 $$unsorted) (Vd681 $$unsorted) (Vd682 $$unsorted)) (=> (and (rinside Vd677 Vd681) (exists ((Vd680 $$unsorted)) (and (rpoint Vd680) (= Vd680 Vd677))) (exists ((Vd679 $$unsorted)) (and (= Vd679 Vd676) (rpoint Vd679))) (ron Vd676 Vd681) (rinside Vd676 Vd682) (ron Vd677 Vd682)) (rintersect Vd681 Vd682))) (forall ((Vd194 $$unsorted) (Vd195 $$unsorted) (Vd196 $$unsorted) (Vd197 $$unsorted)) (=> (and (= Vd197 Vd196) (rpoint Vd197) (= Vd194 Vd195) (rcircle Vd195) (ron Vd196 Vd194)) (exists ((Vd198 $$unsorted)) (and (rpoint Vd198) (ron Vd198 Vd194) (not (= Vd198 Vd196)))))) (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 $$unsorted)) (and (= Vd896 Vd901) (rpoint Vd901))) (exists ((Vd899 $$unsorted)) (and (= Vd894 Vd899) (rpoint Vd899))) (exists ((Vd900 $$unsorted)) (and (= Vd900 Vd895) (rpoint Vd900))) (exists ((Vd902 $$unsorted)) (and (= Vd897 Vd902) (rpoint Vd902))) (rline Vd904) (= Vd903 Vd904) (not (ron Vd897 Vd903))) (= (= (vangle Vd897 Vd896 Vd895) _let_1) (= _let_1 vperp))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (let ((_let_1 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))) (=> (and (= Vd1050 Vd1049) (not (= Vd1049 Vd1047)) (rpoint Vd1048) (= Vd1047 Vd1048) (rpoint Vd1050)) (= (vf _let_1 Vd1047) (vf Vd1049 _let_1))))) (forall ((Vd847 $$unsorted) (Vd848 $$unsorted) (Vd849 $$unsorted) (Vd850 $$unsorted) (Vd851 $$unsorted) (Vd852 $$unsorted)) (=> (and (= Vd852 Vd851) (rpoint Vd852) (= Vd847 Vd848) (rpoint Vd848) (rcenter Vd849 Vd850) (ron Vd851 Vd850)) (= (ron Vd847 Vd850) (= (vf Vd849 Vd851) (vf Vd849 Vd847))))) (forall ((Vd214 $$unsorted) (Vd215 $$unsorted)) (=> (and (= Vd214 Vd215) (rcircle Vd215)) (exists ((Vd216 $$unsorted)) (and (not (rinside Vd216 Vd214)) (rpoint Vd216) (not (ron Vd216 Vd214)))))) (forall ((Vd84 $$unsorted) (Vd85 $$unsorted) (Vd86 $$unsorted) (Vd87 $$unsorted)) (=> (and (not (= Vd87 Vd86)) (ron Vd87 Vd84) (ron Vd86 Vd84) (= Vd85 Vd84) (rline Vd85) (exists ((Vd89 $$unsorted)) (and (rpoint Vd89) (= Vd86 Vd89))) (exists ((Vd90 $$unsorted)) (and (rpoint Vd90) (= Vd90 Vd87)))) (exists ((Vd93 $$unsorted)) (and (rpoint Vd93) (rR Vd93 Vd86 Vd87))))) (forall ((Vd159 $$unsorted) (Vd160 $$unsorted) (Vd161 $$unsorted) (Vd162 $$unsorted) (Vd163 $$unsorted) (Vd164 $$unsorted)) (=> (and (= Vd161 Vd162) (rS Vd163 Vd161 Vd159) (not (ron Vd161 Vd159)) (= Vd159 Vd160) (rline Vd160) (rpoint Vd162) (rpoint Vd164) (= Vd164 Vd163)) (exists ((Vd166 $$unsorted)) (and (rS Vd166 Vd161 Vd159) (rpoint Vd166) (not (= Vd161 Vd166)) (not (= Vd163 Vd166)))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1048 Vd1047) (rpoint Vd1048) (rpoint Vd1050) (not (= Vd1049 Vd1047)) (= Vd1050 Vd1049)) (= (vf Vd1047 Vd1049) (vf Vd1049 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))))) (forall ((Vd828 $$unsorted) (Vd829 $$unsorted) (Vd830 $$unsorted)) (=> (and (rR Vd829 Vd828 Vd830) (exists ((Vd834 $$unsorted)) (and (= Vd830 Vd834) (rpoint Vd834))) (exists ((Vd832 $$unsorted)) (and (rpoint Vd832) (= Vd832 Vd828))) (exists ((Vd833 $$unsorted)) (and (rpoint Vd833) (= Vd829 Vd833)))) (= (vf Vd828 Vd830) (vplus (vf Vd828 Vd829) (vf Vd829 Vd830))))) (forall ((Vd979 $$unsorted) (Vd980 $$unsorted) (Vd981 $$unsorted) (Vd982 $$unsorted) (Vd988 $$unsorted) (Vd989 $$unsorted)) (=> (and (= Vd988 Vd989) (not (= Vd981 Vd982)) (not (= Vd980 Vd982)) (not (= Vd981 Vd979)) (exists ((Vd986 $$unsorted)) (and (rpoint Vd986) (= Vd981 Vd986))) (exists ((Vd984 $$unsorted)) (and (rpoint Vd984) (= Vd984 Vd979))) (exists ((Vd985 $$unsorted)) (and (rpoint Vd985) (= Vd985 Vd980))) (exists ((Vd987 $$unsorted)) (and (= Vd987 Vd982) (rpoint Vd987))) (not (= Vd980 Vd979)) (not (= Vd982 Vd979)) (not (= Vd981 Vd980)) (rline Vd989) (not (ron Vd982 Vd988))) (= (rR Vd981 Vd979 Vd980) (= (vg Vd979 Vd982 Vd980) (vplus (vg Vd979 Vd981 Vd982) (vg Vd982 Vd981 Vd980)))))) (forall ((Vd1352 $$unsorted) (Vd1353 $$unsorted) (Vd1354 $$unsorted)) (=> (and (= (vangle Vd1352 Vd1354 Vd1353) (vangle Vd1352 Vd1353 Vd1354)) (not (= Vd1353 Vd1354)) (not (= Vd1354 Vd1352)) (not (= Vd1353 Vd1352)) (exists ((Vd1357 $$unsorted)) (and (rpoint Vd1357) (= Vd1352 Vd1357))) (exists ((Vd1358 $$unsorted)) (and (= Vd1353 Vd1358) (rpoint Vd1358))) (exists ((Vd1359 $$unsorted)) (and (= Vd1359 Vd1354) (rpoint Vd1359)))) (= (vf Vd1352 Vd1354) (vf Vd1352 Vd1353)))) (forall ((Vd434 $$unsorted) (Vd435 $$unsorted) (Vd439 $$unsorted) (Vd440 $$unsorted)) (=> (and (exists ((Vd437 $$unsorted)) (and (= Vd434 Vd437) (rpoint Vd437))) (exists ((Vd438 $$unsorted)) (and (= Vd435 Vd438) (rpoint Vd438))) (rline Vd440) (= Vd440 Vd439) (rS Vd434 Vd435 Vd439)) (not (ron Vd434 Vd439)))) _let_9 _let_2 (forall ((Vd253 $$unsorted) (Vd254 $$unsorted) (Vd255 $$unsorted) (Vd256 $$unsorted) (Vd257 $$unsorted) (Vd258 $$unsorted) (Vd259 $$unsorted) (Vd260 $$unsorted)) (=> (and (ron Vd259 Vd255) (not (ron Vd259 Vd253)) (not (rinside Vd259 Vd253)) (= Vd259 Vd260) (ron Vd257 Vd255) (= Vd255 Vd256) (rline Vd256) (= Vd254 Vd253) (rcircle Vd254) (rpoint Vd258) (= Vd257 Vd258) (rinside Vd257 Vd253) (rpoint Vd260)) (exists ((Vd261 $$unsorted)) (and (rR Vd261 Vd257 Vd259) (ron Vd261 Vd253) (rpoint Vd261) (ron Vd261 Vd255))))) (forall ((Vd420 $$unsorted) (Vd421 $$unsorted) (Vd422 $$unsorted) (Vd423 $$unsorted)) (=> (and (rline Vd423) (= Vd420 Vd421) (rpoint Vd421) (= Vd423 Vd422) (not (ron Vd420 Vd422))) (rS Vd420 Vd420 Vd422))) (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 (= Vd1028 Vd1027) (not (ron Vd1001 Vd1027)) (ron Vd999 Vd1027) (rline Vd1028) (exists ((Vd1022 $$unsorted)) (and (= Vd1011 Vd1022) (rpoint Vd1022))) (exists ((Vd1021 $$unsorted)) (and (rpoint Vd1021) (= Vd1010 Vd1021))) (exists ((Vd1018 $$unsorted)) (and (rpoint Vd1018) (= Vd1007 Vd1018))) (exists ((Vd1017 $$unsorted)) (and (rpoint Vd1017) (= Vd1017 Vd1006))) (exists ((Vd1004 $$unsorted)) (and (rpoint Vd1004) (= Vd1004 Vd1000))) (not (= Vd994 Vd992)) (exists ((Vd997 $$unsorted)) (and (= Vd993 Vd997) (rpoint Vd997))) (exists ((Vd996 $$unsorted)) (and (= Vd996 Vd992) (rpoint Vd996))) (exists ((Vd998 $$unsorted)) (and (= Vd998 Vd994) (rpoint Vd998))) (not (= Vd992 Vd993)) (not (= Vd994 Vd993)) (exists ((Vd1003 $$unsorted)) (and (rpoint Vd1003) (= Vd1003 Vd999))) (exists ((Vd1005 $$unsorted)) (and (= Vd1005 Vd1001) (rpoint Vd1005))) (exists ((Vd1019 $$unsorted)) (and (rpoint Vd1019) (= Vd1008 Vd1019))) (exists ((Vd1020 $$unsorted)) (and (rpoint Vd1020) (= Vd1020 Vd1009))) (exists ((Vd1023 $$unsorted)) (and (rpoint Vd1023) (= Vd1023 Vd1012))) (exists ((Vd1024 $$unsorted)) (and (= Vd1013 Vd1024) (rpoint Vd1024))) (exists ((Vd1025 $$unsorted)) (and (= Vd1025 Vd1014) (rpoint Vd1025))) (exists ((Vd1026 $$unsorted)) (and (rpoint Vd1026) (= Vd1015 Vd1026))) (ron Vd1000 Vd1027) (forall ((Vd1031 $$unsorted) (Vd1032 $$unsorted) (Vd1033 $$unsorted)) (=> (and (rS Vd1033 Vd1001 Vd1027) (not (rR Vd999 Vd1032 Vd1000)) (= (vf Vd992 Vd994) (vf Vd1031 Vd1033)) (= (vf Vd1032 Vd1033) (vf Vd993 Vd994)) (= (vangle Vd992 Vd994 Vd993) (vangle Vd1031 Vd1033 Vd1032)) (= (vangle Vd993 Vd992 Vd994) (vangle Vd1032 Vd1031 Vd1033)) (= (vangle Vd994 Vd993 Vd992) (vangle Vd1033 Vd1032 Vd1031)) (rpoint Vd1031) (rpoint Vd1032) (rpoint Vd1033) (= Vd1031 Vd999) (= (vf Vd1031 Vd1032) (vf Vd992 Vd993)) (ron Vd1032 Vd1027)) (and (= (vangle Vd1010 Vd1011 Vd1012) (vangle Vd1013 Vd1014 Vd1015)) (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009)))))) (and (= (vangle Vd1010 Vd1011 Vd1012) (vangle Vd1013 Vd1014 Vd1015)) (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009))))) (forall ((Vd15 $$unsorted) (Vd16 $$unsorted)) (=> (and (rpoint Vd16) (= Vd16 Vd15)) (exists ((Vd17 $$unsorted)) (and (rpoint Vd17) (not (= Vd17 Vd15)))))) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (not (= Vd1070 Vd1069)) (exists ((Vd1072 $$unsorted)) (and (= Vd1069 Vd1072) (rpoint Vd1072))) (exists ((Vd1073 $$unsorted)) (and (= Vd1073 Vd1070) (rpoint Vd1073)))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (not (= Vd1074 Vd1070)) (not (= Vd1074 Vd1069)) (rpoint Vd1075) (= Vd1074 Vd1075)) (rpoint (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070)))))) (forall ((Vd874 $$unsorted) (Vd875 $$unsorted) (Vd876 $$unsorted) (Vd877 $$unsorted) (Vd883 $$unsorted) (Vd884 $$unsorted)) (=> (and (not (= Vd874 Vd876)) (ron Vd876 Vd884) (ron Vd875 Vd883) (ron Vd874 Vd883) (exists ((Vd886 $$unsorted)) (and (= Vd883 Vd886) (rline Vd886))) (exists ((Vd882 $$unsorted)) (and (= Vd877 Vd882) (rpoint Vd882))) (exists ((Vd880 $$unsorted)) (and (= Vd880 Vd875) (rpoint Vd880))) (exists ((Vd879 $$unsorted)) (and (rpoint Vd879) (= Vd874 Vd879))) (exists ((Vd881 $$unsorted)) (and (= Vd876 Vd881) (rpoint Vd881))) (exists ((Vd887 $$unsorted)) (and (= Vd887 Vd884) (rline Vd887))) (ron Vd874 Vd884) (not (= Vd875 Vd874)) (not (ron Vd877 Vd883)) (not (ron Vd877 Vd884)) (not (= Vd883 Vd884))) (= (and (rS Vd876 Vd877 Vd883) (rS Vd875 Vd877 Vd884)) (= (vplus (vangle Vd875 Vd874 Vd877) (vangle Vd877 Vd874 Vd876)) (vangle Vd875 Vd874 Vd876))))) (forall ((Vd211 $$unsorted) (Vd212 $$unsorted)) (=> (and (rcircle Vd212) (= Vd212 Vd211)) (exists ((Vd213 $$unsorted)) (and (rinside Vd213 Vd211) (rpoint Vd213))))) (forall ((Vd138 $$unsorted) (Vd139 $$unsorted) (Vd140 $$unsorted) (Vd141 $$unsorted) (Vd146 $$unsorted) (Vd147 $$unsorted)) (=> (and (= Vd147 Vd146) (rR Vd141 Vd140 Vd146) (ron Vd140 Vd138) (exists ((Vd144 $$unsorted)) (and (= Vd141 Vd144) (rpoint Vd144))) (rline Vd139) (= Vd139 Vd138) (exists ((Vd143 $$unsorted)) (and (rpoint Vd143) (= Vd143 Vd140))) (ron Vd141 Vd138) (rpoint Vd147)) (exists ((Vd149 $$unsorted)) (and (not (= Vd146 Vd149)) (rR Vd141 Vd140 Vd149) (rpoint Vd149))))) (= (vf vd1400 vd1409) (vf vd1400 vd1401)) (forall ((Vd1271 $$unsorted) (Vd1272 $$unsorted) (Vd1273 $$unsorted)) (=> (and (= (vf Vd1271 Vd1272) (vf Vd1271 Vd1273)) (not (= Vd1273 Vd1272)) (not (= Vd1273 Vd1271)) (exists ((Vd1277 $$unsorted)) (and (rpoint Vd1277) (= Vd1273 Vd1277))) (exists ((Vd1275 $$unsorted)) (and (= Vd1275 Vd1271) (rpoint Vd1275))) (exists ((Vd1276 $$unsorted)) (and (rpoint Vd1276) (= Vd1276 Vd1272))) (not (= Vd1272 Vd1271))) (forall ((Vd1279 $$unsorted) (Vd1280 $$unsorted) (Vd1282 $$unsorted) (Vd1283 $$unsorted)) (=> (and (= Vd1282 Vd1283) (rR Vd1273 Vd1271 Vd1282) (rpoint Vd1283) (rR Vd1272 Vd1271 Vd1279) (rpoint Vd1280) (= Vd1280 Vd1279)) (= (vangle Vd1271 Vd1273 Vd1272) (vangle Vd1271 Vd1272 Vd1273)))))) (forall ((Vd454 $$unsorted) (Vd455 $$unsorted) (Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (and (= Vd462 Vd461) (rline Vd462) (exists ((Vd460 $$unsorted)) (and (= Vd456 Vd460) (rpoint Vd460))) (exists ((Vd458 $$unsorted)) (and (= Vd458 Vd454) (rpoint Vd458))) (exists ((Vd459 $$unsorted)) (and (= Vd459 Vd455) (rpoint Vd459))) (not (ron Vd454 Vd461)) (not (ron Vd455 Vd461)) (not (ron Vd456 Vd461)) (not (rS Vd454 Vd455 Vd461))) (or (rS Vd455 Vd456 Vd461) (rS Vd454 Vd456 Vd461)))) (forall ((Vd808 $$unsorted) (Vd809 $$unsorted) (Vd810 $$unsorted) (Vd811 $$unsorted) (Vd812 $$unsorted) (Vd813 $$unsorted)) (=> (and (= (vangle Vd808 Vd809 Vd810) (vangle Vd811 Vd812 Vd813)) (= (vf Vd808 Vd809) (vf Vd811 Vd812)) (exists ((Vd820 $$unsorted)) (and (= Vd820 Vd813) (rpoint Vd820))) (exists ((Vd818 $$unsorted)) (and (= Vd811 Vd818) (rpoint Vd818))) (exists ((Vd816 $$unsorted)) (and (= Vd816 Vd809) (rpoint Vd816))) (exists ((Vd815 $$unsorted)) (and (= Vd808 Vd815) (rpoint Vd815))) (exists ((Vd817 $$unsorted)) (and (= Vd817 Vd810) (rpoint Vd817))) (exists ((Vd819 $$unsorted)) (and (rpoint Vd819) (= Vd819 Vd812))) (= (vf Vd809 Vd810) (vf Vd812 Vd813)) (= (vf Vd813 Vd811) (vf Vd810 Vd808)) (= (vangle Vd812 Vd813 Vd811) (vangle Vd809 Vd810 Vd808)) (= (vangle Vd810 Vd808 Vd809) (vangle Vd813 Vd811 Vd812))) (= (vg Vd811 Vd812 Vd813) (vg Vd808 Vd809 Vd810)))) (forall ((Vd466 $$unsorted) (Vd467 $$unsorted) (Vd468 $$unsorted) (Vd473 $$unsorted) (Vd474 $$unsorted)) (=> (and (rS Vd466 Vd468 Vd473) (= Vd474 Vd473) (rline Vd474) (exists ((Vd471 $$unsorted)) (and (= Vd467 Vd471) (rpoint Vd471))) (exists ((Vd470 $$unsorted)) (and (rpoint Vd470) (= Vd466 Vd470))) (exists ((Vd472 $$unsorted)) (and (rpoint Vd472) (= Vd468 Vd472))) (rR Vd467 Vd466 Vd468)) (rS Vd466 Vd467 Vd473))) (forall ((Vd127 $$unsorted) (Vd128 $$unsorted) (Vd129 $$unsorted) (Vd130 $$unsorted)) (=> (and (not (= Vd130 Vd129)) (ron Vd130 Vd127) (ron Vd129 Vd127) (exists ((Vd133 $$unsorted)) (and (rpoint Vd133) (= Vd130 Vd133))) (= Vd127 Vd128) (rline Vd128) (exists ((Vd132 $$unsorted)) (and (= Vd132 Vd129) (rpoint Vd132)))) (exists ((Vd136 $$unsorted)) (and (rR Vd130 Vd129 Vd136) (rpoint Vd136))))) (forall ((Vd1156 $$unsorted) (Vd1157 $$unsorted) (Vd1158 $$unsorted) (Vd1163 $$unsorted) (Vd1164 $$unsorted) (Vd1165 $$unsorted)) (=> (and (= (vangle Vd1157 Vd1156 Vd1158) (vangle Vd1164 Vd1163 Vd1165)) (= (vf Vd1163 Vd1165) (vf Vd1156 Vd1158)) (= (vf Vd1156 Vd1157) (vf Vd1163 Vd1164)) (exists ((Vd1168 $$unsorted)) (and (= Vd1164 Vd1168) (rpoint Vd1168))) (not (= Vd1156 Vd1158)) (exists ((Vd1162 $$unsorted)) (and (rpoint Vd1162) (= Vd1162 Vd1158))) (exists ((Vd1160 $$unsorted)) (and (rpoint Vd1160) (= Vd1156 Vd1160))) (exists ((Vd1161 $$unsorted)) (and (rpoint Vd1161) (= Vd1161 Vd1157))) (not (= Vd1156 Vd1157)) (not (= Vd1158 Vd1157)) (exists ((Vd1167 $$unsorted)) (and (rpoint Vd1167) (= Vd1163 Vd1167))) (exists ((Vd1169 $$unsorted)) (and (rpoint Vd1169) (= Vd1169 Vd1165))) (not (exists ((Vd1173 $$unsorted)) (and (ron Vd1165 Vd1173) (rline Vd1173) (ron Vd1163 Vd1173) (ron Vd1164 Vd1173))))) (= (vangle Vd1156 Vd1158 Vd1157) (vangle Vd1163 Vd1165 Vd1164)))) (= (vangle vd1399 vd1409 vd1401) (vangle vd1399 vd1401 vd1409)) (forall ((Vd191 $$unsorted) (Vd192 $$unsorted)) (=> (and (rcircle Vd192) (= Vd191 Vd192)) (exists ((Vd193 $$unsorted)) (and (ron Vd193 Vd191) (rpoint Vd193))))) (forall ((Vd109 $$unsorted) (Vd110 $$unsorted) (Vd111 $$unsorted) (Vd112 $$unsorted) (Vd113 $$unsorted) (Vd114 $$unsorted)) (=> (and (rR Vd114 Vd111 Vd112) (ron Vd112 Vd109) (exists ((Vd119 $$unsorted)) (and (= Vd114 Vd119) (rpoint Vd119))) (exists ((Vd118 $$unsorted)) (and (rpoint Vd118) (= Vd118 Vd113))) (exists ((Vd117 $$unsorted)) (and (= Vd117 Vd112) (rpoint Vd117))) (exists ((Vd116 $$unsorted)) (and (= Vd111 Vd116) (rpoint Vd116))) (rline Vd110) (= Vd110 Vd109) (ron Vd111 Vd109) (ron Vd113 Vd109) (rR Vd113 Vd111 Vd112)) (exists ((Vd123 $$unsorted)) (and (not (= Vd123 Vd114)) (not (= Vd113 Vd123)) (rR Vd123 Vd111 Vd112) (rpoint Vd123))))) (forall ((Vd616 $$unsorted) (Vd617 $$unsorted) (Vd622 $$unsorted) (Vd623 $$unsorted) (Vd630 $$unsorted) (Vd631 $$unsorted) (Vd632 $$unsorted) (Vd633 $$unsorted)) (=> (and (ron Vd630 Vd632) (rline Vd633) (rcenter Vd630 Vd616) (ron Vd623 Vd617) (ron Vd623 Vd616) (exists ((Vd626 $$unsorted)) (and (= Vd626 Vd623) (rpoint Vd626))) (exists ((Vd619 $$unsorted)) (and (rcircle Vd619) (= Vd619 Vd616))) (exists ((Vd620 $$unsorted)) (and (rcircle Vd620) (= Vd617 Vd620))) (not (= Vd616 Vd617)) (rintersect Vd616 Vd617) (exists ((Vd625 $$unsorted)) (and (= Vd622 Vd625) (rpoint Vd625))) (ron Vd622 Vd616) (ron Vd622 Vd617) (not (= Vd623 Vd622)) (rcenter Vd631 Vd617) (= Vd633 Vd632) (ron Vd631 Vd632)) (not (rS Vd622 Vd623 Vd632)))) (forall ((Vd232 $$unsorted) (Vd233 $$unsorted) (Vd234 $$unsorted) (Vd235 $$unsorted)) (=> (and (rintersect Vd232 Vd234) (= Vd233 Vd232) (rline Vd233) (rline Vd235) (= Vd234 Vd235)) (exists ((Vd236 $$unsorted)) (and (ron Vd236 Vd232) (rpoint Vd236) (ron Vd236 Vd234))))) (forall ((Vd185 $$unsorted) (Vd186 $$unsorted) (Vd187 $$unsorted) (Vd188 $$unsorted)) (=> (and (rpoint Vd188) (rline Vd186) (= Vd186 Vd185) (not (ron Vd187 Vd185)) (= Vd187 Vd188)) (exists ((Vd189 $$unsorted)) (and (rpoint Vd189) (not (rS Vd189 Vd187 Vd185)))))) (forall ((Vd1109 $$unsorted) (Vd1110 $$unsorted) (Vd1111 $$unsorted) (Vd1112 $$unsorted) (Vd1113 $$unsorted) (Vd1114 $$unsorted) (Vd1115 $$unsorted) (Vd1116 $$unsorted)) (let ((_let_1 (vf Vd1113 Vd1115))) (=> (and (not (= Vd1113 Vd1115)) (= Vd1114 Vd1113) (rpoint Vd1114) (= Vd1109 Vd1110) (rpoint Vd1110) (rpoint Vd1112) (= Vd1111 Vd1112) (rpoint Vd1116) (= Vd1115 Vd1116) (not (= Vd1109 Vd1111)) (rless _let_1 (vf Vd1109 Vd1111))) (= (vf Vd1109 (vskolem1120 Vd1109 Vd1110 Vd1111 Vd1112 Vd1113 Vd1114 Vd1115 Vd1116)) _let_1)))) (forall ((Vd706 $$unsorted) (Vd707 $$unsorted) (Vd708 $$unsorted) (Vd709 $$unsorted)) (=> (and (rless Vd706 Vd708) (= Vd708 Vd709) (rreal Vd707) (= Vd706 Vd707) (rreal Vd709)) (or (= Vd706 Vd708) (not (rless Vd708 Vd706))))) (forall ((Vd716 $$unsorted) (Vd717 $$unsorted) (Vd718 $$unsorted) (Vd719 $$unsorted) (Vd720 $$unsorted) (Vd721 $$unsorted)) (=> (and (rless Vd718 Vd720) (rless Vd716 Vd718) (= Vd721 Vd720) (rreal Vd721) (rreal Vd719) (= Vd717 Vd716) (rreal Vd717) (= Vd718 Vd719)) (rless Vd716 Vd720))) (forall ((Vd340 $$unsorted) (Vd341 $$unsorted) (Vd342 $$unsorted)) (=> (and (exists ((Vd345 $$unsorted)) (and (rpoint Vd345) (= Vd345 Vd341))) (exists ((Vd344 $$unsorted)) (and (= Vd344 Vd340) (rpoint Vd344))) (exists ((Vd346 $$unsorted)) (and (rpoint Vd346) (= Vd346 Vd342))) (rR Vd341 Vd340 Vd342)) (and (not (rR Vd340 Vd341 Vd342)) (not (= Vd340 Vd342)) (rR Vd341 Vd342 Vd340) (not (= Vd340 Vd341))))) (forall ((Vd862 $$unsorted) (Vd863 $$unsorted) (Vd864 $$unsorted) (Vd865 $$unsorted) (Vd866 $$unsorted) (Vd867 $$unsorted) (Vd868 $$unsorted) (Vd869 $$unsorted)) (=> (and (ron Vd864 Vd868) (not (= Vd862 Vd866)) (rline Vd869) (= Vd864 Vd865) (= Vd862 Vd863) (rpoint Vd863) (rpoint Vd865) (rpoint Vd867) (= Vd866 Vd867) (= Vd869 Vd868) (not (= Vd862 Vd864)) (ron Vd862 Vd868)) (= (= (vangle Vd864 Vd862 Vd866) v0) (and (not (rR Vd862 Vd864 Vd866)) (ron Vd866 Vd868))))) (forall ((Vd19 $$unsorted) (Vd20 $$unsorted)) (=> (and (exists ((Vd23 $$unsorted)) (and (rpoint Vd23) (= Vd23 Vd20))) (exists ((Vd22 $$unsorted)) (and (= Vd19 Vd22) (rpoint Vd22)))) (exists ((Vd24 $$unsorted)) (and (not (= Vd24 Vd20)) (not (= Vd24 Vd19)) (rpoint Vd24))))) (forall ((Vd636 $$unsorted) (Vd637 $$unsorted) (Vd641 $$unsorted) (Vd642 $$unsorted) (Vd644 $$unsorted) (Vd645 $$unsorted)) (=> (and (= Vd642 Vd641) (rline Vd645) (not (rS Vd636 Vd637 Vd641)) (rline Vd642) (exists ((Vd639 $$unsorted)) (and (= Vd636 Vd639) (rpoint Vd639))) (exists ((Vd640 $$unsorted)) (and (rpoint Vd640) (= Vd640 Vd637))) (ron Vd636 Vd644) (ron Vd637 Vd644) (= Vd644 Vd645)) (rintersect Vd641 Vd644))) (forall ((Vd699 $$unsorted) (Vd700 $$unsorted) (Vd701 $$unsorted) (Vd702 $$unsorted)) (=> (and (rreal Vd700) (= Vd699 Vd700) (rreal Vd702) (= Vd702 Vd701)) (or (rless Vd699 Vd701) (= Vd699 Vd701) (rless Vd701 Vd699)))) (forall ((Vd958 $$unsorted) (Vd959 $$unsorted) (Vd960 $$unsorted)) (=> (and (exists ((Vd964 $$unsorted)) (and (= Vd964 Vd960) (rpoint Vd964))) (exists ((Vd962 $$unsorted)) (and (rpoint Vd962) (= Vd962 Vd958))) (exists ((Vd963 $$unsorted)) (and (rpoint Vd963) (= Vd963 Vd959)))) (exists ((Vd966 $$unsorted)) (and (rreal Vd966) (= (vg Vd958 Vd959 Vd960) Vd966))))) (forall ((Vd442 $$unsorted) (Vd443 $$unsorted) (Vd444 $$unsorted) (Vd449 $$unsorted) (Vd450 $$unsorted)) (=> (and (= Vd449 Vd450) (exists ((Vd448 $$unsorted)) (and (= Vd448 Vd444) (rpoint Vd448))) (exists ((Vd447 $$unsorted)) (and (rpoint Vd447) (= Vd443 Vd447))) (exists ((Vd446 $$unsorted)) (and (rpoint Vd446) (= Vd446 Vd442))) (rline Vd450) (rS Vd442 Vd443 Vd449) (rS Vd442 Vd444 Vd449)) (rS Vd443 Vd444 Vd449))) (forall ((Vd725 $$unsorted) (Vd726 $$unsorted) (Vd727 $$unsorted) (Vd728 $$unsorted) (Vd729 $$unsorted) (Vd730 $$unsorted)) (=> (and (rreal Vd730) (= Vd727 Vd728) (rreal Vd726) (= Vd725 Vd726) (rreal Vd728) (= Vd730 Vd729) (rless Vd725 Vd727)) (rless (vplus Vd725 Vd729) (vplus Vd727 Vd729)))) (forall ((Vd733 $$unsorted) (Vd734 $$unsorted) (Vd735 $$unsorted) (Vd736 $$unsorted) (Vd737 $$unsorted) (Vd738 $$unsorted)) (=> (and (= (vplus Vd733 Vd737) (vplus Vd735 Vd737)) (rreal Vd736) (rreal Vd734) (= Vd733 Vd734) (= Vd736 Vd735) (rreal Vd738) (= Vd738 Vd737)) (= Vd733 Vd735))) (forall ((Vd238 $$unsorted) (Vd239 $$unsorted) (Vd240 $$unsorted) (Vd241 $$unsorted)) (=> (and (rcircle Vd239) (= Vd239 Vd238) (rline Vd241) (= Vd241 Vd240) (rintersect Vd240 Vd238)) (exists ((Vd242 $$unsorted)) (and (ron Vd242 Vd238) (rpoint Vd242) (ron Vd242 Vd240))))) (forall ((Vd685 $$unsorted) (Vd686 $$unsorted) (Vd687 $$unsorted) (Vd688 $$unsorted)) (=> (and (= Vd687 Vd688) (= Vd686 Vd685) (rreal Vd686) (rreal Vd688)) (exists ((Vd690 $$unsorted)) (and (= Vd690 (vplus Vd685 Vd687)) (rreal Vd690))))) (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (=> (and (exists ((Vd745 $$unsorted)) (and (rpoint Vd745) (= Vd742 Vd745))) (exists ((Vd744 $$unsorted)) (and (rpoint Vd744) (= Vd741 Vd744)))) (exists ((Vd747 $$unsorted)) (and (= (vf Vd741 Vd742) Vd747) (rreal Vd747))))) (forall ((Vd908 $$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 (= Vd909 Vd908)) (ron Vd912 Vd920) (ron Vd911 Vd919) (ron Vd908 Vd919) (exists ((Vd923 $$unsorted)) (and (= Vd920 Vd923) (rline Vd923))) (exists ((Vd917 $$unsorted)) (and (= Vd911 Vd917) (rpoint Vd917))) (exists ((Vd916 $$unsorted)) (and (rpoint Vd916) (= Vd916 Vd910))) (exists ((Vd914 $$unsorted)) (and (rpoint Vd914) (= Vd908 Vd914))) (exists ((Vd915 $$unsorted)) (and (rpoint Vd915) (= Vd909 Vd915))) (exists ((Vd918 $$unsorted)) (and (= Vd918 Vd912) (rpoint Vd918))) (exists ((Vd922 $$unsorted)) (and (rline Vd922) (= Vd922 Vd919))) (ron Vd909 Vd919) (ron Vd910 Vd920) (not (= Vd908 Vd910)) (not (rR Vd908 Vd909 Vd911))) (= (vangle Vd909 Vd908 Vd910) (vangle Vd911 Vd908 Vd912)))) (forall ((Vd61 $$unsorted) (Vd62 $$unsorted) (Vd63 $$unsorted) (Vd64 $$unsorted) (Vd65 $$unsorted) (Vd66 $$unsorted)) (=> (and (ron Vd65 Vd61) (ron Vd63 Vd61) (= Vd63 Vd64) (rpoint Vd64) (rline Vd62) (= Vd61 Vd62) (rpoint Vd66) (= Vd66 Vd65)) (exists ((Vd68 $$unsorted)) (and (rpoint Vd68) (ron Vd68 Vd61) (not (= Vd63 Vd68)) (not (= Vd65 Vd68)))))) (forall ((Vd52 $$unsorted) (Vd53 $$unsorted)) (=> (and (= Vd53 Vd52) (rline Vd53)) (exists ((Vd54 $$unsorted)) (and (rpoint Vd54) (ron Vd54 Vd52))))) (forall ((Vd5 $$unsorted) (Vd6 $$unsorted) (Vd7 $$unsorted) (Vd9 $$unsorted)) (=> (and (= (vtriangle Vd5 Vd6 Vd7) Vd9) (rtriangle Vd9)) (and (not (= Vd6 Vd7)) (exists ((Vd11 $$unsorted)) (and (rpoint Vd11) (= Vd11 Vd5))) (exists ((Vd12 $$unsorted)) (and (= Vd6 Vd12) (rpoint Vd12))) (exists ((Vd13 $$unsorted)) (and (rpoint Vd13) (= Vd7 Vd13))) (not (= Vd6 Vd5)) (not (= Vd5 Vd7))))) (forall ((Vd837 $$unsorted) (Vd838 $$unsorted) (Vd842 $$unsorted) (Vd843 $$unsorted) (Vd844 $$unsorted)) (=> (and (ron Vd838 Vd844) (rcenter Vd842 Vd844) (rcenter Vd842 Vd843) (exists ((Vd840 $$unsorted)) (and (rpoint Vd840) (= Vd837 Vd840))) (exists ((Vd841 $$unsorted)) (and (= Vd841 Vd838) (rpoint Vd841))) (ron Vd837 Vd843) (= (vf Vd842 Vd837) (vf Vd842 Vd838))) (= Vd844 Vd843))) (forall ((Vd336 $$unsorted) (Vd337 $$unsorted) (Vd338 $$unsorted) (Vd339 $$unsorted)) (=> (and (rcircle Vd339) (rpoint Vd337) (= Vd337 Vd336) (= Vd338 Vd339) (rinside Vd336 Vd338)) (not (ron Vd336 Vd338)))) (forall ((Vd933 $$unsorted) (Vd934 $$unsorted) (Vd935 $$unsorted) (Vd936 $$unsorted) (Vd937 $$unsorted) (Vd944 $$unsorted) (Vd945 $$unsorted) (Vd946 $$unsorted)) (=> (and (rless (vplus (vangle Vd933 Vd934 Vd935) (vangle Vd934 Vd935 Vd936)) (vplus vperp vperp)) (rS Vd933 Vd936 Vd945) (ron Vd935 Vd946) (ron Vd935 Vd945) (ron Vd934 Vd945) (ron Vd934 Vd944) (ron Vd933 Vd944) (exists ((Vd950 $$unsorted)) (and (rline Vd950) (= Vd950 Vd946))) (exists ((Vd948 $$unsorted)) (and (rline Vd948) (= Vd948 Vd944))) (exists ((Vd942 $$unsorted)) (and (= Vd942 Vd936) (rpoint Vd942))) (exists ((Vd941 $$unsorted)) (and (rpoint Vd941) (= Vd935 Vd941))) (exists ((Vd940 $$unsorted)) (and (= Vd934 Vd940) (rpoint Vd940))) (exists ((Vd939 $$unsorted)) (and (rpoint Vd939) (= Vd933 Vd939))) (exists ((Vd943 $$unsorted)) (and (= Vd937 Vd943) (rpoint Vd943))) (exists ((Vd949 $$unsorted)) (and (rline Vd949) (= Vd945 Vd949))) (ron Vd936 Vd946) (not (= Vd934 Vd935))) (and (rintersect Vd944 Vd945) (=> (and (ron Vd937 Vd944) (ron Vd937 Vd945)) (rS Vd937 Vd933 Vd945))))) (forall ((Vd786 $$unsorted) (Vd787 $$unsorted)) (=> (and (exists ((Vd790 $$unsorted)) (and (= Vd787 Vd790) (rpoint Vd790))) (exists ((Vd789 $$unsorted)) (and (rpoint Vd789) (= Vd786 Vd789)))) (= (vg Vd786 Vd786 Vd787) v0))) (rreal vd684) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd364 $$unsorted) (Vd369 $$unsorted) (Vd370 $$unsorted)) (=> (and (= Vd369 Vd370) (ron Vd364 Vd369) (rR Vd363 Vd362 Vd364) (exists ((Vd367 $$unsorted)) (and (rpoint Vd367) (= Vd367 Vd363))) (exists ((Vd366 $$unsorted)) (and (= Vd366 Vd362) (rpoint Vd366))) (exists ((Vd368 $$unsorted)) (and (= Vd364 Vd368) (rpoint Vd368))) (rline Vd370) (ron Vd362 Vd369)) (ron Vd363 Vd369))) _let_1 (forall ((Vd263 $$unsorted) (Vd264 $$unsorted) (Vd265 $$unsorted) (Vd266 $$unsorted) (Vd267 $$unsorted) (Vd268 $$unsorted) (Vd269 $$unsorted) (Vd270 $$unsorted)) (=> (and (not (= Vd267 Vd269)) (rpoint Vd270) (rinside Vd267 Vd263) (= Vd267 Vd268) (rline Vd266) (rcircle Vd264) (= Vd264 Vd263) (= Vd265 Vd266) (rpoint Vd268) (ron Vd267 Vd265) (= Vd269 Vd270) (ron Vd269 Vd265)) (exists ((Vd272 $$unsorted)) (and (rpoint Vd272) (ron Vd272 Vd263) (ron Vd272 Vd265) (rR Vd267 Vd272 Vd269))))) (forall ((Vd71 $$unsorted) (Vd72 $$unsorted) (Vd73 $$unsorted) (Vd74 $$unsorted) (Vd75 $$unsorted)) (=> (and (ron Vd75 Vd71) (exists ((Vd79 $$unsorted)) (and (rpoint Vd79) (= Vd79 Vd75))) (exists ((Vd78 $$unsorted)) (and (= Vd78 Vd74) (rpoint Vd78))) (exists ((Vd77 $$unsorted)) (and (= Vd73 Vd77) (rpoint Vd77))) (= Vd71 Vd72) (rline Vd72) (ron Vd73 Vd71) (ron Vd74 Vd71)) (exists ((Vd81 $$unsorted)) (and (rpoint Vd81) (ron Vd81 Vd71) (not (= Vd81 Vd73)) (not (= Vd74 Vd81)))))) (forall ((Vd38 $$unsorted) (Vd39 $$unsorted) (Vd40 $$unsorted) (Vd41 $$unsorted)) (=> (and (exists ((Vd46 $$unsorted)) (and (rpoint Vd46) (= Vd46 Vd41))) (exists ((Vd43 $$unsorted)) (and (= Vd43 Vd38) (rpoint Vd43))) (exists ((Vd44 $$unsorted)) (and (= Vd39 Vd44) (rpoint Vd44))) (exists ((Vd45 $$unsorted)) (and 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((Vd585 $$unsorted)) (and (rpoint Vd585) (= Vd581 Vd585))) (rline Vd589) (= Vd588 Vd589) (ron Vd582 Vd588) (rinside Vd581 Vd590)) (rR Vd581 Vd582 Vd583))) (forall ((Vd713 $$unsorted) (Vd714 $$unsorted)) (=> (and (= Vd714 Vd713) (rreal Vd714)) (not (rless Vd713 Vd713)))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (not (= Vd1047 Vd1049)) (rpoint Vd1050) (rpoint Vd1048) (= Vd1048 Vd1047) (= Vd1049 Vd1050)) (rpoint (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)))) (forall ((Vd1156 $$unsorted) (Vd1157 $$unsorted) (Vd1158 $$unsorted) (Vd1163 $$unsorted) (Vd1164 $$unsorted) (Vd1165 $$unsorted)) (=> (and (= (vf Vd1156 Vd1158) (vf Vd1163 Vd1165)) (= (vf Vd1156 Vd1157) (vf Vd1163 Vd1164)) (exists ((Vd1168 $$unsorted)) (and (rpoint Vd1168) (= Vd1168 Vd1164))) (not (= Vd1156 Vd1158)) (not (= Vd1156 Vd1157)) (exists ((Vd1162 $$unsorted)) (and (= Vd1158 Vd1162) (rpoint Vd1162))) (exists ((Vd1161 $$unsorted)) (and (= Vd1157 Vd1161) (rpoint Vd1161))) (exists ((Vd1160 $$unsorted)) (and (rpoint Vd1160) (= Vd1160 Vd1156))) (not (= Vd1158 Vd1157)) (exists ((Vd1167 $$unsorted)) (and (= Vd1167 Vd1163) (rpoint Vd1167))) (exists ((Vd1169 $$unsorted)) (and (= Vd1165 Vd1169) (rpoint Vd1169))) (= (vangle Vd1164 Vd1163 Vd1165) (vangle Vd1157 Vd1156 Vd1158)) (not (exists ((Vd1173 $$unsorted)) (and (ron Vd1164 Vd1173) (rline Vd1173) (ron Vd1163 Vd1173) (ron Vd1165 Vd1173))))) (= (vf Vd1164 Vd1165) (vf Vd1157 Vd1158)))) (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (=> (rcenter Vd334 Vd335) (rinside Vd334 Vd335))) (forall ((Vd280 $$unsorted) (Vd281 $$unsorted)) (=> (and (exists ((Vd283 $$unsorted)) (and (rcircle Vd283) (= Vd280 Vd283))) (exists ((Vd284 $$unsorted)) (and (= Vd284 Vd281) (rcircle Vd284))) (rintersect Vd280 Vd281)) (exists ((Vd285 $$unsorted) (Vd286 $$unsorted)) (and (ron Vd286 Vd280) (ron Vd285 Vd280) (rpoint Vd285) (ron Vd285 Vd281) (rpoint Vd286) (ron Vd286 Vd281) (not (= Vd286 Vd285)))))) (forall ((Vd647 $$unsorted) (Vd648 $$unsorted) (Vd652 $$unsorted) (Vd653 $$unsorted)) (=> (and (or (rinside Vd648 Vd652) (ron Vd648 Vd652)) (or (rinside Vd647 Vd652) (ron Vd647 Vd652)) (exists ((Vd656 $$unsorted)) (and (rcircle Vd656) (= Vd656 Vd653))) (exists ((Vd655 $$unsorted)) (and (rcircle Vd655) (= Vd655 Vd652))) (exists ((Vd650 $$unsorted)) (and (rpoint Vd650) (= Vd647 Vd650))) (exists ((Vd651 $$unsorted)) (and (= Vd648 Vd651) (rpoint Vd651))) (not (exists ((Vd657 $$unsorted)) (rS Vd647 Vd648 Vd657)))) (exists ((Vd659 $$unsorted)) (rintersect Vd659 Vd652)))) (forall ((Vd500 $$unsorted) (Vd501 $$unsorted) (Vd502 $$unsorted) (Vd507 $$unsorted) (Vd508 $$unsorted)) (=> (and (ron Vd502 Vd508) (not (= Vd508 Vd507)) (not (= Vd501 Vd502)) (exists ((Vd505 $$unsorted)) (and (rpoint Vd505) (= Vd501 Vd505))) (exists ((Vd504 $$unsorted)) (and (= Vd500 Vd504) (rpoint Vd504))) (exists ((Vd506 $$unsorted)) (and (= Vd506 Vd502) (rpoint Vd506))) (not (= Vd501 Vd500)) (not (= Vd502 Vd500)) (exists ((Vd510 $$unsorted)) (and (rline 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$$unsorted) (Vd613 $$unsorted) (Vd614 $$unsorted)) (let ((_let_1 (not (ron Vd607 Vd613)))) (=> (and (not (rinside Vd608 Vd613)) (or (ron Vd606 Vd613) (rinside Vd606 Vd613)) (exists ((Vd611 $$unsorted)) (and (rpoint Vd611) (= Vd611 Vd607))) (exists ((Vd610 $$unsorted)) (and (= Vd610 Vd606) (rpoint Vd610))) (exists ((Vd612 $$unsorted)) (and (= Vd612 Vd608) (rpoint Vd612))) (rcircle Vd614) (= Vd614 Vd613) (rR Vd608 Vd606 Vd607)) (and _let_1 _let_1)))) (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (=> (and (exists ((Vd752 $$unsorted)) (and (= Vd752 Vd749) (rpoint Vd752))) (exists ((Vd751 $$unsorted)) (and (rpoint Vd751) (= Vd751 Vd748)))) (= (= (vf Vd748 Vd749) v0) (= Vd749 Vd748)))) (forall ((Vd777 $$unsorted) (Vd778 $$unsorted) (Vd779 $$unsorted)) (let ((_let_1 (vangle Vd777 Vd778 Vd779))) (=> (and (exists ((Vd782 $$unsorted)) (and (= Vd782 Vd778) (rpoint Vd782))) (exists ((Vd781 $$unsorted)) (and (= Vd777 Vd781) (rpoint Vd781))) (exists ((Vd783 $$unsorted)) (and (= Vd779 Vd783) (rpoint Vd783)))) (and (rleq _let_1 (vplus vperp vperp)) (rleq v0 _let_1))))) (forall ((Vd537 $$unsorted) (Vd538 $$unsorted) (Vd539 $$unsorted) (Vd544 $$unsorted) (Vd545 $$unsorted) (Vd546 $$unsorted) (Vd547 $$unsorted)) (=> (and (not (= Vd545 Vd544)) (not (ron Vd547 Vd538)) (not (rS Vd545 Vd547 Vd538)) (ron Vd547 Vd539) (ron Vd544 Vd539) (exists ((Vd550 $$unsorted)) (and (rpoint Vd550) (= Vd545 Vd550))) (exists ((Vd549 $$unsorted)) (and (rpoint Vd549) (= Vd549 Vd544))) (exists ((Vd543 $$unsorted)) (and (= Vd539 Vd543) (rline Vd543))) (exists ((Vd541 $$unsorted)) (and (= Vd537 Vd541) (rline Vd541))) (exists ((Vd542 $$unsorted)) (and (rline Vd542) (= Vd542 Vd538))) (exists ((Vd551 $$unsorted)) (and (= Vd546 Vd551) (rpoint Vd551))) (exists ((Vd552 $$unsorted)) (and (rpoint Vd552) (= Vd552 Vd547))) (ron Vd544 Vd537) (ron Vd544 Vd538) (ron Vd545 Vd537) (ron Vd546 Vd538) (rS Vd546 Vd547 Vd537)) (rS Vd545 Vd546 Vd539))) (forall ((Vd1109 $$unsorted) (Vd1110 $$unsorted) (Vd1111 $$unsorted) (Vd1112 $$unsorted) (Vd1113 $$unsorted) (Vd1114 $$unsorted) (Vd1115 $$unsorted) (Vd1116 $$unsorted)) (=> (and (rless (vf Vd1113 Vd1115) (vf Vd1109 Vd1111)) (not (= Vd1111 Vd1109)) (rpoint Vd1116) (= Vd1113 Vd1114) (= Vd1111 Vd1112) (rpoint Vd1110) (= Vd1109 Vd1110) (rpoint Vd1112) (rpoint Vd1114) (= Vd1115 Vd1116) (not (= Vd1115 Vd1113))) (rpoint (vskolem1120 Vd1109 Vd1110 Vd1111 Vd1112 Vd1113 Vd1114 Vd1115 Vd1116)))) (forall ((Vd799 $$unsorted) (Vd800 $$unsorted) (Vd801 $$unsorted)) (let ((_let_1 (vg Vd799 Vd800 Vd801))) (=> (and (exists ((Vd804 $$unsorted)) (and (= Vd800 Vd804) (rpoint Vd804))) (exists ((Vd803 $$unsorted)) (and (= Vd799 Vd803) (rpoint Vd803))) (exists ((Vd805 $$unsorted)) (and (rpoint Vd805) (= Vd805 Vd801)))) (and (= (vg Vd801 Vd799 Vd800) _let_1) (= (vg Vd799 Vd801 Vd800) _let_1))))) (forall ((Vd666 $$unsorted) (Vd667 $$unsorted) (Vd671 $$unsorted) (Vd672 $$unsorted)) (=> (and (rinside Vd666 Vd672) (or (ron Vd667 Vd671) (rinside Vd667 Vd671)) (ron Vd666 Vd671) (exists ((Vd674 $$unsorted)) (and (rcircle Vd674) (= Vd674 Vd671))) (exists ((Vd670 $$unsorted)) (and (rpoint Vd670) (= Vd670 Vd667))) (exists ((Vd669 $$unsorted)) (and (= Vd669 Vd666) (rpoint Vd669))) (exists ((Vd675 $$unsorted)) (and (rcircle Vd675) (= Vd675 Vd672))) (not (ron Vd667 Vd672)) (not (rinside Vd667 Vd672))) (rintersect Vd671 Vd672))) (forall ((Vd694 $$unsorted) (Vd695 $$unsorted) (Vd696 $$unsorted) (Vd697 $$unsorted)) (=> (and (rreal Vd697) (rreal Vd695) (= Vd694 Vd695) (= Vd696 Vd697)) (= (vplus Vd696 Vd694) (vplus Vd694 Vd696)))) (forall ((Vd275 $$unsorted) (Vd276 $$unsorted) (Vd277 $$unsorted) (Vd278 $$unsorted)) (=> (and (rcircle Vd278) (rcircle Vd276) (= Vd275 Vd276) (= Vd278 Vd277) (rintersect Vd275 Vd277)) (exists ((Vd279 $$unsorted)) (and (ron Vd279 Vd277) (ron Vd279 Vd275) (rpoint Vd279))))) (forall ((Vd691 $$unsorted) (Vd692 $$unsorted)) (=> (and (= Vd691 Vd692) (rreal Vd692)) (= Vd691 (vplus Vd691 v0)))) (forall ((Vd425 $$unsorted) (Vd426 $$unsorted) (Vd430 $$unsorted) (Vd431 $$unsorted)) (=> (and (= Vd431 Vd430) (exists ((Vd429 $$unsorted)) (and (= Vd429 Vd426) (rpoint Vd429))) (exists ((Vd428 $$unsorted)) (and (= Vd428 Vd425) (rpoint Vd428))) (rline Vd431) (rS Vd425 Vd426 Vd430)) (rS Vd426 Vd425 Vd430))) (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (=> (and (ron Vd855 Vd860) (rcenter Vd859 Vd860) (exists ((Vd857 $$unsorted)) (and (= Vd857 Vd854) (rpoint Vd857))) (exists ((Vd858 $$unsorted)) (and (rpoint Vd858) (= Vd858 Vd855)))) (= (rless (vf Vd859 Vd854) (vf Vd859 Vd855)) (rinside Vd854 Vd860)))) (rS vd1401 vd1409 vd1406) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd403 $$unsorted) (Vd404 $$unsorted)) (=> (and (ron Vd397 Vd403) (ron Vd396 Vd403) (not (= Vd398 Vd396)) (not (= Vd396 Vd397)) (exists ((Vd400 $$unsorted)) (and (= Vd396 Vd400) (rpoint Vd400))) (exists ((Vd401 $$unsorted)) (and (= Vd397 Vd401) (rpoint Vd401))) (exists ((Vd402 $$unsorted)) (and (= Vd398 Vd402) (rpoint Vd402))) (not (= Vd398 Vd397)) (rline Vd404) (ron Vd398 Vd403) (= Vd403 Vd404)) (or (rR Vd398 Vd396 Vd397) (rR Vd396 Vd397 Vd398) (rR Vd397 Vd396 Vd398)))) (forall ((Vd384 $$unsorted) (Vd385 $$unsorted) (Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (and (rR Vd386 Vd385 Vd387) (exists ((Vd391 $$unsorted)) (and (= Vd386 Vd391) (rpoint Vd391))) (exists ((Vd389 $$unsorted)) (and (rpoint Vd389) (= Vd384 Vd389))) (exists ((Vd390 $$unsorted)) (and (= Vd385 Vd390) (rpoint Vd390))) (exists ((Vd392 $$unsorted)) (and (= Vd392 Vd387) (rpoint Vd392))) (rR Vd385 Vd384 Vd386)) (rR Vd385 Vd384 Vd387))) (rpoint vd14) (forall ((Vd95 $$unsorted) (Vd96 $$unsorted) (Vd97 $$unsorted) (Vd98 $$unsorted) (Vd99 $$unsorted)) (=> (and (rR Vd99 Vd97 Vd98) (ron Vd98 Vd95) (ron Vd97 Vd95) (exists ((Vd101 $$unsorted)) (and (= Vd97 Vd101) (rpoint Vd101))) (rline Vd96) (= Vd95 Vd96) (exists ((Vd102 $$unsorted)) (and (= Vd102 Vd98) (rpoint Vd102))) (exists ((Vd103 $$unsorted)) (and (rpoint Vd103) (= Vd103 Vd99)))) (exists ((Vd106 $$unsorted)) (and (not (= Vd99 Vd106)) (rR Vd106 Vd97 Vd98) (rpoint Vd106))))) (forall ((Vd55 $$unsorted) (Vd56 $$unsorted) (Vd57 $$unsorted) (Vd58 $$unsorted)) (=> (and (rline Vd56) (= Vd56 Vd55) (rpoint Vd58) (= Vd57 Vd58) (ron Vd57 Vd55)) (exists ((Vd59 $$unsorted)) (and (ron Vd59 Vd55) (rpoint Vd59) (not (= Vd59 Vd57)))))) (forall ((Vd767 $$unsorted) (Vd768 $$unsorted) (Vd769 $$unsorted)) (=> (and (not (= Vd769 Vd767)) (not (= Vd767 Vd768)) (exists ((Vd772 $$unsorted)) (and (rpoint Vd772) (= Vd772 Vd768))) (exists ((Vd771 $$unsorted)) (and (rpoint Vd771) (= Vd771 Vd767))) (exists ((Vd773 $$unsorted)) (and (rpoint Vd773) (= Vd769 Vd773)))) (= (vangle Vd767 Vd768 Vd769) (vangle Vd769 Vd768 Vd767)))) (forall ((Vd792 $$unsorted) (Vd793 $$unsorted) (Vd794 $$unsorted) (Vd795 $$unsorted) (Vd796 $$unsorted) (Vd797 $$unsorted)) (=> (and (rpoint Vd797) (rpoint Vd793) (= Vd792 Vd793) (rpoint Vd795) (= Vd795 Vd794) (= Vd796 Vd797)) (rgeq (vg Vd792 Vd794 Vd796) v0))) (rpoint vd1409) (forall ((Vd27 $$unsorted) (Vd28 $$unsorted) (Vd29 $$unsorted)) (=> (and (exists ((Vd33 $$unsorted)) (and (= Vd33 Vd29) (rpoint Vd33))) (exists ((Vd32 $$unsorted)) (and (= Vd32 Vd28) (rpoint Vd32))) (exists ((Vd31 $$unsorted)) (and (= Vd31 Vd27) (rpoint Vd31)))) (exists ((Vd34 $$unsorted)) (and (not (= Vd29 Vd34)) (not (= Vd27 Vd34)) (rpoint Vd34) (not (= Vd34 Vd28)))))) (forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (=> (rcenter Vd1 Vd2) (exists ((Vd3 $$unsorted) (Vd4 $$unsorted)) (and (= Vd2 Vd4) (= Vd1 Vd3) (rpoint Vd3) (rcircle Vd4))))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd331 $$unsorted) (Vd332 $$unsorted)) (=> (and (rcenter Vd331 Vd328) (= Vd329 Vd328) (rcircle Vd329) (rcenter Vd332 Vd328)) (= Vd331 Vd332))) (forall ((Vd1156 $$unsorted) (Vd1157 $$unsorted) (Vd1158 $$unsorted) (Vd1163 $$unsorted) (Vd1164 $$unsorted) (Vd1165 $$unsorted)) (=> (and (= (vf Vd1163 Vd1165) (vf Vd1156 Vd1158)) (exists ((Vd1169 $$unsorted)) (and (rpoint Vd1169) (= Vd1165 Vd1169))) (exists ((Vd1162 $$unsorted)) (and (= Vd1158 Vd1162) (rpoint Vd1162))) (exists ((Vd1161 $$unsorted)) (and (rpoint Vd1161) (= Vd1157 Vd1161))) (exists ((Vd1160 $$unsorted)) (and (= Vd1160 Vd1156) (rpoint Vd1160))) (not (= Vd1157 Vd1156)) (not (= Vd1158 Vd1156)) (not (= Vd1158 Vd1157)) (exists ((Vd1167 $$unsorted)) (and (= Vd1167 Vd1163) (rpoint Vd1167))) (exists ((Vd1168 $$unsorted)) (and (= Vd1164 Vd1168) (rpoint Vd1168))) (= (vf Vd1163 Vd1164) (vf Vd1156 Vd1157)) (= (vangle Vd1157 Vd1156 Vd1158) (vangle Vd1164 Vd1163 Vd1165)) (not (exists ((Vd1173 $$unsorted)) (and (ron Vd1165 Vd1173) (ron Vd1164 Vd1173) (ron Vd1163 Vd1173) (rline Vd1173))))) (= (vangle Vd1156 Vd1157 Vd1158) (vangle Vd1163 Vd1164 Vd1165)))) true)))))))))))))))))))))))))) 10.55/11.20 % SZS output end Proof for theBenchmark 10.55/11.20 EOF