0.11/0.32 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.33 % Command : do_cvc5 %s %d 0.12/0.56 % Computer : n029.cluster.edu 0.12/0.56 % Model : x86_64 x86_64 0.12/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.56 % Memory : 8042.1875MB 0.12/0.56 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.56 % CPULimit : 960 0.12/0.56 % WCLimit : 120 0.12/0.56 % DateTime : Tue Aug 9 05:23:10 EDT 2022 0.12/0.56 % CPUTime : 0.19/0.80 %----Proving TF0_NAR, FOF, or CNF 75.78/76.44 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 75.78/76.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 75.78/76.44 --- Run --no-e-matching --full-saturate-quant at 5... 75.78/76.44 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 75.78/76.44 --- Run --finite-model-find --uf-ss=no-minimal at 5... 75.78/76.44 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 75.78/76.44 --- Run --trigger-sel=max --full-saturate-quant at 5... 75.78/76.44 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5... 75.78/76.44 --- Run --multi-trigger-cache --full-saturate-quant at 5... 75.78/76.44 --- Run --prenex-quant=none --full-saturate-quant at 5... 75.78/76.44 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5... 75.78/76.44 --- Run --relevant-triggers --full-saturate-quant at 5... 75.78/76.44 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5... 75.78/76.44 --- Run --pre-skolem-quant=on --full-saturate-quant at 10... 75.78/76.44 --- Run --cbqi-vo-exp --full-saturate-quant at 10... 75.78/76.44 % SZS status Theorem for theBenchmark 75.78/76.44 % SZS output start Proof for theBenchmark 75.78/76.44 (let ((_let_1 (exists ((Vd1203 $$unsorted)) (and (rpoint Vd1203) (= vd1199 Vd1203))))) (let ((_let_2 (ron vd1199 vd1197))) (let ((_let_3 (vf vd1199 vd1200))) (let ((_let_4 (vf vd1178 vd1179))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (= v0 vd684))) (let ((_let_7 (ron vd1200 vd1197))) (let ((_let_8 (vf vd1178 vd1180))) (let ((_let_9 (vf vd1185 vd1186))) (let ((_let_10 (= _let_4 _let_9))) (let ((_let_11 (= vd1179 vd1178))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not (= vd1179 vd1180)))) (let ((_let_14 (vf vd1185 vd1187))) (let ((_let_15 (vangle vd1179 vd1178 vd1180))) (let ((_let_16 (= _let_15 (vangle vd1186 vd1185 vd1187)))) (let ((_let_17 (and (not (exists ((Vd1195 $$unsorted)) (and (ron vd1187 Vd1195) (ron vd1185 Vd1195) (rline Vd1195) (ron vd1186 Vd1195)))) _let_16 (= _let_14 _let_8) _let_13 (exists ((Vd1184 $$unsorted)) (and (rpoint Vd1184) (= Vd1184 vd1180))) (exists ((Vd1183 $$unsorted)) (and (= vd1179 Vd1183) (rpoint Vd1183))) (exists ((Vd1182 $$unsorted)) (and (rpoint Vd1182) (= Vd1182 vd1178))) _let_12 (not (= vd1180 vd1178)) (exists ((Vd1189 $$unsorted)) (and (rpoint Vd1189) (= Vd1189 vd1185))) (exists ((Vd1190 $$unsorted)) (and (rpoint Vd1190) (= Vd1190 vd1186))) (exists ((Vd1191 $$unsorted)) (and (= Vd1191 vd1187) (rpoint Vd1191))) _let_10))) (let ((_let_18 (rline vd1197))) (let ((_let_19 (ron vd1185 vd1197))) (let ((_let_20 (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd403 $$unsorted) (Vd404 $$unsorted)) (=> (and (= Vd403 Vd404) (ron Vd398 Vd403) (ron Vd396 Vd403) (not (= Vd397 Vd398)) (not (= Vd398 Vd396)) (not (= Vd397 Vd396)) (exists ((Vd402 $$unsorted)) (and (= Vd402 Vd398) (rpoint Vd402))) (exists ((Vd400 $$unsorted)) (and (= Vd396 Vd400) (rpoint Vd400))) (exists ((Vd401 $$unsorted)) (and (= Vd401 Vd397) (rpoint Vd401))) (rline Vd404) (ron Vd397 Vd403)) (or (rR Vd396 Vd397 Vd398) (rR Vd398 Vd396 Vd397) (rR Vd397 Vd396 Vd398)))))) (let ((_let_21 (not (or (rR vd1199 vd1185 vd1186) (rR vd1185 vd1199 vd1186))))) (let ((_let_22 (not (= vd1185 vd1199)))) (let ((_let_23 (not (rR vd1186 vd1199 vd1185)))) (let ((_let_24 (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (=> (and (exists ((Vd751 $$unsorted)) (and (rpoint Vd751) (= Vd751 Vd748))) (exists ((Vd752 $$unsorted)) (and (rpoint Vd752) (= Vd749 Vd752)))) (= (= v0 (vf Vd748 Vd749)) (= Vd748 Vd749)))))) (let ((_let_25 (= vd1200 vd1186))) (let ((_let_26 (rR vd1200 vd1199 vd1185))) (let ((_let_27 (rR vd1199 vd1185 vd1200))) (let ((_let_28 (rR vd1185 vd1199 vd1200))) (let ((_let_29 (rpoint vd1199))) (let ((_let_30 (rpoint vd1185))) (let ((_let_31 (rpoint vd1200))) (let ((_let_32 (= vd1199 vd1185))) (let ((_let_33 (not _let_19))) (let ((_let_34 (not _let_18))) (let ((_let_35 (not _let_30))) (let ((_let_36 (not _let_29))) (let ((_let_37 (not _let_31))) (let ((_let_38 (= vd1199 vd1200))) (let ((_let_39 (= vd1185 vd1200))) (let ((_let_40 (not _let_2))) (let ((_let_41 (not _let_7))) (let ((_let_42 (or _let_41 _let_40 _let_39 _let_38 _let_32 _let_37 _let_36 _let_35 _let_34 _let_33 _let_27 _let_26 _let_28))) (let ((_let_43 (AND_INTRO (SYMM (ASSUME :args (_let_25))) (SYMM (ASSUME :args (_let_6)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO _let_43 :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (rpoint vd1178))) (let ((_let_47 (rpoint vd1179))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_43 :args ((and (forall ((Vd1195 $$unsorted)) (or (not (ron vd1187 Vd1195)) (not (ron vd1185 Vd1195)) (not (rline Vd1195)) (not (ron vd1186 Vd1195)))) _let_16 (= _let_8 _let_14) _let_13 (rpoint vd1180) _let_47 _let_46 _let_12 (not (= vd1178 vd1180)) _let_30 (rpoint vd1186) (rpoint vd1187) _let_10) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_49 (AND_ELIM _let_48 :args (9)))) (let ((_let_50 (AND_ELIM _let_48 :args (10)))) (let ((_let_51 (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd404 $$unsorted)) (or (not (ron Vd398 Vd404)) (not (ron Vd396 Vd404)) (= Vd397 Vd398) (= Vd396 Vd398) (= Vd396 Vd397) (not (rpoint Vd398)) (not (rpoint Vd396)) (not (rpoint Vd397)) (not (rline Vd404)) (not (ron Vd397 Vd404)) (rR Vd396 Vd397 Vd398) (rR Vd398 Vd396 Vd397) (rR Vd397 Vd396 Vd398))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (= v0 _let_3))) (let ((_let_54 (= _let_38 _let_53))) (let ((_let_55 (not _let_38))) (let ((_let_56 (or _let_36 _let_37 _let_54))) (let ((_let_57 (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (or (not (rpoint Vd748)) (not (rpoint Vd749)) (= (= v0 (vf Vd748 Vd749)) (= Vd748 Vd749)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (= v0 _let_4))) (let ((_let_61 (= _let_3 _let_4))) (let ((_let_62 (not _let_53))) (let ((_let_63 (= _let_11 _let_60))) (let ((_let_64 (not _let_60))) (let ((_let_65 (not _let_47))) (let ((_let_66 (not _let_46))) (let ((_let_67 (or _let_66 _let_65 _let_63))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_11 _let_64 (not _let_63)))) (AND_ELIM _let_48 :args (7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_65 _let_66 _let_63 (not _let_67)))) (AND_ELIM _let_48 :args (5)) (AND_ELIM _let_48 :args (6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (vd1178 vd1179 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59))) _let_58 :args (_let_67 false _let_57)) :args (_let_63 false _let_47 false _let_46 false _let_67)) :args (_let_64 true _let_11 false _let_63)))) (let ((_let_69 (SYMM (ASSUME :args (_let_5))))) (let ((_let_70 (not _let_61))) (let ((_let_71 (OR))) (let ((_let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_60))))) (let ((_let_73 (and _let_61 _let_64))) (let ((_let_74 (ASSUME :args (_let_64)))) (let ((_let_75 (FALSE_INTRO _let_74))) (let ((_let_76 (EQUAL))) (let ((_let_77 (REFL :args (v0)))) (let ((_let_78 (vf vd1185 vd1200))) (let ((_let_79 (= v0 _let_78))) (let ((_let_80 (= _let_39 _let_79))) (let ((_let_81 (not _let_39))) (let ((_let_82 (or _let_35 _let_37 _let_80))) (let ((_let_83 (= _let_4 _let_78))) (let ((_let_84 (not _let_79))) (let ((_let_85 (and _let_83 _let_64))) (let ((_let_86 (ASSUME :args (_let_83)))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_36 _let_35 _let_32 _let_37 _let_26 _let_27 _let_28 _let_33 _let_34 _let_41 _let_40 _let_38 _let_39 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_79 _let_81 (not _let_80)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_86) (SCOPE (FALSE_ELIM (TRANS (CONG _let_77 (SYMM _let_86) :args _let_76) _let_75)) :args (_let_64 _let_83))) :args (_let_83 _let_64))) :args (true _let_85)) (CONG (REFL :args ((not _let_83))) _let_72 (REFL :args (_let_84)) :args _let_71)) (AND_ELIM _let_48 :args (12)) _let_68 :args (_let_84 false _let_83 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_35 _let_37 _let_80 (not _let_82)))) _let_49 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (vd1185 vd1200 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59))) _let_58 :args (_let_82 false _let_57)) :args (_let_80 false _let_30 false _let_31 false _let_82)) :args (_let_81 true _let_79 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_53 _let_55 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_69) (SCOPE (FALSE_ELIM (TRANS (CONG _let_77 (SYMM (SYMM _let_69)) :args _let_76) _let_75)) :args (_let_64 _let_61))) :args (_let_61 _let_64))) :args (true _let_73)) (CONG (REFL :args (_let_70)) _let_72 (REFL :args (_let_62)) :args _let_71)) :args ((or _let_70 _let_62 _let_60))) _let_69 _let_68 :args (_let_62 false _let_61 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_36 _let_37 _let_54 (not _let_56)))) _let_45 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (vd1199 vd1200 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59))) _let_58 :args (_let_56 false _let_57)) :args (_let_54 false _let_29 false _let_31 false _let_56)) :args (_let_55 true _let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (vd1199 vd1185 vd1200 vd1197 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_51))) _let_52 :args (_let_42 false _let_51)) (SYMM (ASSUME :args (_let_22))) _let_50 _let_49 _let_45 (ASSUME :args (_let_2)) (ASSUME :args (_let_7)) (ASSUME :args (_let_18)) (ASSUME :args (_let_19)) (NOT_OR_ELIM _let_44 :args (1)) (NOT_OR_ELIM _let_44 :args (0)) (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO _let_43 :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args (false true _let_39 true _let_38 false _let_42 true _let_32 false _let_31 false _let_30 false _let_29 false _let_2 false _let_7 false _let_18 false _let_19 true _let_28 true _let_27 true _let_26)) :args ((not (ron vd1187 vd1197)) (forall ((Vd767 $$unsorted) (Vd768 $$unsorted) (Vd769 $$unsorted)) (=> (and (exists ((Vd773 $$unsorted)) (and (= Vd773 Vd769) (rpoint Vd773))) (exists ((Vd772 $$unsorted)) (and (rpoint Vd772) (= Vd772 Vd768))) (exists ((Vd771 $$unsorted)) (and (rpoint Vd771) (= Vd767 Vd771))) (not (= Vd768 Vd767)) (not (= Vd767 Vd769))) (= (vangle Vd769 Vd768 Vd767) (vangle Vd767 Vd768 Vd769)))) (forall ((Vd15 $$unsorted) (Vd16 $$unsorted)) (=> (and (= Vd16 Vd15) (rpoint Vd16)) (exists ((Vd17 $$unsorted)) (and (rpoint Vd17) (not (= Vd17 Vd15)))))) (forall ((Vd152 $$unsorted) (Vd153 $$unsorted) (Vd154 $$unsorted) (Vd155 $$unsorted)) (=> (and (not (ron Vd154 Vd152)) (rpoint Vd155) (= Vd152 Vd153) (rline Vd153) (= Vd154 Vd155)) (exists ((Vd156 $$unsorted)) (and (rpoint Vd156) (rS Vd156 Vd154 Vd152) (not (= Vd156 Vd154)))))) (forall ((Vd191 $$unsorted) (Vd192 $$unsorted)) (=> (and (rcircle Vd192) (= Vd192 Vd191)) (exists ((Vd193 $$unsorted)) (and (rpoint Vd193) (ron Vd193 Vd191))))) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted) (Vd246 $$unsorted) (Vd247 $$unsorted)) (=> (and (rintersect Vd246 Vd244) (= Vd246 Vd247) (= Vd245 Vd244) (rcircle Vd245) (rline Vd247)) (exists ((Vd248 $$unsorted) (Vd250 $$unsorted)) (and (not (= Vd248 Vd250)) (ron Vd250 Vd246) (rpoint Vd250) (ron Vd248 Vd244) (rpoint Vd248) (ron Vd248 Vd246) (ron Vd250 Vd244))))) (= (vangle vd1180 vd1179 vd1178) (vangle vd1201 vd1200 vd1199)) (forall ((Vd558 $$unsorted) (Vd559 $$unsorted) (Vd560 $$unsorted) (Vd565 $$unsorted) (Vd566 $$unsorted) (Vd567 $$unsorted) (Vd568 $$unsorted) (Vd577 $$unsorted)) (=> (and (rS Vd568 Vd577 Vd559) (ron Vd568 Vd560) (ron Vd567 Vd559) (ron Vd565 Vd559) (ron Vd565 Vd558) (exists ((Vd570 $$unsorted)) (and (= Vd565 Vd570) (rpoint Vd570))) (exists ((Vd563 $$unsorted)) (and (= Vd559 Vd563) (rline Vd563))) (exists ((Vd562 $$unsorted)) (and (rline Vd562) (= Vd558 Vd562))) (exists ((Vd564 $$unsorted)) (and (= Vd564 Vd560) (rline Vd564))) (exists ((Vd571 $$unsorted)) (and (rpoint Vd571) (= Vd566 Vd571))) (exists ((Vd572 $$unsorted)) (and (rpoint Vd572) (= Vd567 Vd572))) (exists ((Vd573 $$unsorted)) (and (= Vd568 Vd573) (rpoint Vd573))) (ron Vd565 Vd560) (ron Vd566 Vd558) (rS Vd567 Vd568 Vd558) (rS Vd566 Vd567 Vd560) (rS Vd567 Vd577 Vd560)) (rS Vd567 Vd577 Vd558))) (forall ((Vd95 $$unsorted) (Vd96 $$unsorted) (Vd97 $$unsorted) (Vd98 $$unsorted) (Vd99 $$unsorted)) (=> (and (rR Vd99 Vd97 Vd98) (ron Vd97 Vd95) (exists ((Vd102 $$unsorted)) (and (= Vd102 Vd98) (rpoint Vd102))) (= Vd95 Vd96) (rline Vd96) (exists ((Vd101 $$unsorted)) (and (rpoint Vd101) (= Vd97 Vd101))) (exists ((Vd103 $$unsorted)) (and (= Vd103 Vd99) (rpoint Vd103))) (ron Vd98 Vd95)) (exists ((Vd106 $$unsorted)) (and (rpoint Vd106) (rR Vd106 Vd97 Vd98) (not (= Vd106 Vd99)))))) (forall ((Vd606 $$unsorted) (Vd607 $$unsorted) (Vd608 $$unsorted) (Vd613 $$unsorted) (Vd614 $$unsorted)) (let ((_let_1 (not (ron Vd607 Vd613)))) (=> (and (rR Vd608 Vd606 Vd607) (not (rinside Vd608 Vd613)) (rcircle Vd614) (exists ((Vd611 $$unsorted)) (and (= Vd611 Vd607) (rpoint Vd611))) (exists ((Vd610 $$unsorted)) (and (= Vd610 Vd606) (rpoint Vd610))) (exists ((Vd612 $$unsorted)) (and (= Vd612 Vd608) (rpoint Vd612))) (= Vd613 Vd614) (or (rinside Vd606 Vd613) (ron Vd606 Vd613))) (and _let_1 _let_1)))) (rreal vd684) (forall ((Vd84 $$unsorted) (Vd85 $$unsorted) (Vd86 $$unsorted) (Vd87 $$unsorted)) (=> (and (not (= Vd86 Vd87)) (ron Vd87 Vd84) (exists ((Vd90 $$unsorted)) (and (rpoint Vd90) (= Vd87 Vd90))) (exists ((Vd89 $$unsorted)) (and (= Vd89 Vd86) (rpoint Vd89))) (rline Vd85) (= Vd84 Vd85) (ron Vd86 Vd84)) (exists ((Vd93 $$unsorted)) (and (rR Vd93 Vd86 Vd87) (rpoint Vd93))))) (forall ((Vd516 $$unsorted) (Vd517 $$unsorted) (Vd518 $$unsorted) (Vd523 $$unsorted) (Vd524 $$unsorted) (Vd525 $$unsorted) (Vd526 $$unsorted)) (=> (and (rS Vd524 Vd525 Vd518) (rS Vd525 Vd526 Vd516) (ron Vd526 Vd518) (ron Vd525 Vd518) (ron Vd523 Vd517) (exists ((Vd531 $$unsorted)) (and (rpoint Vd531) (= Vd531 Vd526))) (exists ((Vd530 $$unsorted)) (and (= Vd530 Vd525) (rpoint Vd530))) (exists ((Vd529 $$unsorted)) (and (= Vd524 Vd529) (rpoint Vd529))) (exists ((Vd528 $$unsorted)) (and (rpoint Vd528) (= Vd523 Vd528))) (exists ((Vd520 $$unsorted)) (and (rline Vd520) (= Vd516 Vd520))) (exists ((Vd521 $$unsorted)) (and (= Vd521 Vd517) (rline Vd521))) (exists ((Vd522 $$unsorted)) (and (rline Vd522) (= Vd522 Vd518))) (ron Vd523 Vd516) (ron Vd523 Vd518) (ron Vd524 Vd516)) (not (rS Vd524 Vd526 Vd517)))) (forall ((Vd489 $$unsorted) (Vd490 $$unsorted) (Vd491 $$unsorted) (Vd496 $$unsorted) (Vd497 $$unsorted)) (=> (and (rR Vd490 Vd489 Vd491) (rline Vd497) (exists ((Vd493 $$unsorted)) (and (rpoint Vd493) (= Vd493 Vd489))) (exists ((Vd494 $$unsorted)) (and (rpoint Vd494) (= Vd494 Vd490))) (exists ((Vd495 $$unsorted)) (and (rpoint Vd495) (= Vd491 Vd495))) (= Vd497 Vd496) (ron Vd490 Vd496)) (not (rS Vd489 Vd491 Vd496)))) (forall ((Vd706 $$unsorted) (Vd707 $$unsorted) (Vd708 $$unsorted) (Vd709 $$unsorted)) (=> (and (rless Vd706 Vd708) (= Vd709 Vd708) (rreal Vd709) (rreal Vd707) (= Vd707 Vd706)) (or (not (rless Vd708 Vd706)) (= Vd708 Vd706)))) true (forall ((Vd138 $$unsorted) (Vd139 $$unsorted) (Vd140 $$unsorted) (Vd141 $$unsorted) (Vd146 $$unsorted) (Vd147 $$unsorted)) (=> (and (= Vd146 Vd147) (rR Vd141 Vd140 Vd146) (rpoint Vd147) (ron Vd141 Vd138) (ron Vd140 Vd138) (= Vd139 Vd138) (rline Vd139) (exists ((Vd143 $$unsorted)) (and (= Vd143 Vd140) (rpoint Vd143))) (exists ((Vd144 $$unsorted)) (and (rpoint Vd144) (= Vd144 Vd141)))) (exists ((Vd149 $$unsorted)) (and (rR Vd141 Vd140 Vd149) (rpoint Vd149) (not (= Vd149 Vd146)))))) (= (vangle vd1199 vd1201 vd1200) (vangle vd1178 vd1180 vd1179)) (rS vd1201 vd1187 vd1197) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd364 $$unsorted) (Vd369 $$unsorted) (Vd370 $$unsorted)) (=> (and (= Vd370 Vd369) (ron Vd362 Vd369) (rline Vd370) (exists ((Vd367 $$unsorted)) (and (= Vd367 Vd363) (rpoint Vd367))) (exists ((Vd366 $$unsorted)) (and (rpoint Vd366) (= Vd362 Vd366))) (exists ((Vd368 $$unsorted)) (and (rpoint Vd368) (= Vd368 Vd364))) (rR Vd363 Vd362 Vd364) (ron Vd364 Vd369)) (ron Vd363 Vd369))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd331 $$unsorted) (Vd332 $$unsorted)) (=> (and (rcenter Vd331 Vd328) (= Vd329 Vd328) (rcircle Vd329) (rcenter Vd332 Vd328)) (= Vd332 Vd331))) (forall ((Vd967 $$unsorted) (Vd968 $$unsorted) (Vd969 $$unsorted) (Vd974 $$unsorted) (Vd975 $$unsorted)) (=> (and (ron Vd968 Vd974) (not (= Vd968 Vd967)) (exists ((Vd972 $$unsorted)) (and (rpoint Vd972) (= Vd972 Vd968))) (exists ((Vd971 $$unsorted)) (and (rpoint Vd971) (= Vd971 Vd967))) (exists ((Vd973 $$unsorted)) (and (rpoint Vd973) (= Vd969 Vd973))) (rline Vd975) (= Vd975 Vd974) (ron Vd967 Vd974)) (= (= (vg Vd967 Vd968 Vd969) v0) (ron Vd969 Vd974)))) _let_25 _let_24 (forall ((Vd992 $$unsorted) (Vd993 $$unsorted) (Vd994 $$unsorted) (Vd999 $$unsorted) (Vd1000 $$unsorted) (Vd1001 $$unsorted) (Vd1006 $$unsorted) (Vd1007 $$unsorted) (Vd1008 $$unsorted) (Vd1009 $$unsorted) (Vd1010 $$unsorted) (Vd1011 $$unsorted) (Vd1012 $$unsorted) (Vd1013 $$unsorted) (Vd1014 $$unsorted) (Vd1015 $$unsorted) (Vd1027 $$unsorted) (Vd1028 $$unsorted)) (=> (and (forall ((Vd1031 $$unsorted) (Vd1032 $$unsorted) (Vd1033 $$unsorted)) (=> (and (rS Vd1033 Vd1001 Vd1027) (not (rR Vd999 Vd1032 Vd1000)) (= (vf Vd993 Vd994) (vf Vd1032 Vd1033)) (= (vangle Vd1031 Vd1033 Vd1032) (vangle Vd992 Vd994 Vd993)) (= (vangle Vd993 Vd992 Vd994) (vangle Vd1032 Vd1031 Vd1033)) (= (vangle Vd994 Vd993 Vd992) (vangle Vd1033 Vd1032 Vd1031)) (rpoint Vd1032) (rpoint Vd1031) (rpoint Vd1033) (= Vd999 Vd1031) (= (vf Vd992 Vd993) (vf Vd1031 Vd1032)) (= (vf Vd992 Vd994) (vf Vd1031 Vd1033)) (ron Vd1032 Vd1027)) (and (= (vangle Vd1013 Vd1014 Vd1015) (vangle Vd1010 Vd1011 Vd1012)) (= (vf Vd1008 Vd1009) (vf Vd1006 Vd1007))))) (exists ((Vd1026 $$unsorted)) (and (= Vd1015 Vd1026) (rpoint Vd1026))) (exists ((Vd1023 $$unsorted)) (and (rpoint Vd1023) (= Vd1012 Vd1023))) (exists ((Vd1022 $$unsorted)) (and (= Vd1022 Vd1011) (rpoint Vd1022))) (exists ((Vd1019 $$unsorted)) (and (= Vd1019 Vd1008) (rpoint Vd1019))) (exists ((Vd1005 $$unsorted)) (and (= Vd1005 Vd1001) (rpoint Vd1005))) (exists ((Vd1004 $$unsorted)) (and (= Vd1000 Vd1004) (rpoint Vd1004))) (not (= Vd993 Vd994)) (exists ((Vd997 $$unsorted)) (and (rpoint Vd997) (= Vd997 Vd993))) (exists ((Vd996 $$unsorted)) (and (rpoint Vd996) (= Vd992 Vd996))) (exists ((Vd998 $$unsorted)) (and (= Vd994 Vd998) (rpoint Vd998))) (not (= Vd993 Vd992)) (not (= Vd992 Vd994)) (exists ((Vd1003 $$unsorted)) (and (= Vd1003 Vd999) (rpoint Vd1003))) (exists ((Vd1017 $$unsorted)) (and (= Vd1006 Vd1017) (rpoint Vd1017))) (exists ((Vd1018 $$unsorted)) (and (= Vd1007 Vd1018) (rpoint Vd1018))) (exists ((Vd1020 $$unsorted)) (and (= Vd1009 Vd1020) (rpoint Vd1020))) (exists ((Vd1021 $$unsorted)) (and (= Vd1021 Vd1010) (rpoint Vd1021))) (exists ((Vd1024 $$unsorted)) (and (rpoint Vd1024) (= Vd1024 Vd1013))) (exists ((Vd1025 $$unsorted)) (and (= Vd1014 Vd1025) (rpoint Vd1025))) (rline Vd1028) (ron Vd999 Vd1027) (ron Vd1000 Vd1027) (not (ron Vd1001 Vd1027)) (= Vd1027 Vd1028)) (and (= (vf Vd1006 Vd1007) (vf Vd1008 Vd1009)) (= (vangle Vd1010 Vd1011 Vd1012) (vangle Vd1013 Vd1014 Vd1015))))) (ron vd1186 vd1197) (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (=> (rcenter Vd334 Vd335) (rinside Vd334 Vd335))) (forall ((Vd725 $$unsorted) (Vd726 $$unsorted) (Vd727 $$unsorted) (Vd728 $$unsorted) (Vd729 $$unsorted) (Vd730 $$unsorted)) (=> (and (= Vd729 Vd730) (rreal Vd728) (rreal Vd726) (= Vd725 Vd726) (= Vd728 Vd727) (rreal Vd730) (rless Vd725 Vd727)) (rless (vplus Vd725 Vd729) (vplus Vd727 Vd729)))) (= (vf vd1200 vd1201) (vf vd1179 vd1180)) (forall ((Vd211 $$unsorted) (Vd212 $$unsorted)) (=> (and (rcircle Vd212) (= Vd211 Vd212)) (exists ((Vd213 $$unsorted)) (and (rpoint Vd213) (rinside Vd213 Vd211))))) (forall ((Vd61 $$unsorted) (Vd62 $$unsorted) (Vd63 $$unsorted) (Vd64 $$unsorted) (Vd65 $$unsorted) (Vd66 $$unsorted)) (=> (and (ron Vd65 Vd61) (= Vd66 Vd65) (rpoint Vd66) (= Vd63 Vd64) (rline Vd62) (= Vd62 Vd61) (rpoint Vd64) (ron Vd63 Vd61)) (exists ((Vd68 $$unsorted)) (and (not (= Vd68 Vd63)) (rpoint Vd68) (ron Vd68 Vd61) (not (= Vd68 Vd65)))))) (forall ((Vd214 $$unsorted) (Vd215 $$unsorted)) (=> (and (rcircle Vd215) (= Vd214 Vd215)) (exists ((Vd216 $$unsorted)) (and (not (ron Vd216 Vd214)) (rpoint Vd216) (not (rinside Vd216 Vd214)))))) (forall ((Vd894 $$unsorted) (Vd895 $$unsorted) (Vd896 $$unsorted) (Vd897 $$unsorted) (Vd903 $$unsorted) (Vd904 $$unsorted)) (let ((_let_1 (vangle Vd894 Vd896 Vd897))) (=> (and (exists ((Vd902 $$unsorted)) (and (= Vd897 Vd902) (rpoint Vd902))) (exists ((Vd901 $$unsorted)) (and (= Vd896 Vd901) (rpoint Vd901))) (exists ((Vd899 $$unsorted)) (and (rpoint Vd899) (= Vd894 Vd899))) (exists ((Vd900 $$unsorted)) (and (= Vd895 Vd900) (rpoint Vd900))) (rline Vd904) (= Vd904 Vd903) (rR Vd896 Vd894 Vd895) (not (ron Vd897 Vd903))) (= (= (vangle Vd897 Vd896 Vd895) _let_1) (= vperp _let_1))))) (forall ((Vd733 $$unsorted) (Vd734 $$unsorted) (Vd735 $$unsorted) (Vd736 $$unsorted) (Vd737 $$unsorted) (Vd738 $$unsorted)) (=> (and (rreal Vd736) (rreal Vd734) (= Vd733 Vd734) (= Vd736 Vd735) (rreal Vd738) (= Vd738 Vd737) (= (vplus Vd735 Vd737) (vplus Vd733 Vd737))) (= Vd735 Vd733))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (let ((_let_1 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))) (=> (and (= Vd1050 Vd1049) (rpoint Vd1050) (rpoint Vd1048) (= Vd1047 Vd1048) (not (= Vd1049 Vd1047))) (= (vf _let_1 Vd1047) (vf Vd1049 _let_1))))) (forall ((Vd27 $$unsorted) (Vd28 $$unsorted) (Vd29 $$unsorted)) (=> (and (exists ((Vd31 $$unsorted)) (and (rpoint Vd31) (= Vd31 Vd27))) (exists ((Vd32 $$unsorted)) (and (rpoint Vd32) (= Vd32 Vd28))) (exists ((Vd33 $$unsorted)) (and (= Vd29 Vd33) (rpoint Vd33)))) (exists ((Vd34 $$unsorted)) (and (not (= Vd29 Vd34)) (not (= Vd34 Vd28)) (not (= Vd27 Vd34)) (rpoint Vd34))))) (forall ((Vd786 $$unsorted) (Vd787 $$unsorted)) (=> (and (exists ((Vd790 $$unsorted)) (and (= Vd787 Vd790) (rpoint Vd790))) (exists ((Vd789 $$unsorted)) (and (= Vd786 Vd789) (rpoint Vd789)))) (= v0 (vg Vd786 Vd786 Vd787)))) (forall ((Vd808 $$unsorted) (Vd809 $$unsorted) (Vd810 $$unsorted) (Vd811 $$unsorted) (Vd812 $$unsorted) (Vd813 $$unsorted)) (=> (and (= (vangle Vd813 Vd811 Vd812) (vangle Vd810 Vd808 Vd809)) (= (vangle Vd809 Vd810 Vd808) (vangle Vd812 Vd813 Vd811)) (= (vf Vd813 Vd811) (vf Vd810 Vd808)) (= (vf Vd809 Vd810) (vf Vd812 Vd813)) (exists ((Vd819 $$unsorted)) (and (= Vd812 Vd819) (rpoint Vd819))) (exists ((Vd818 $$unsorted)) (and (= Vd818 Vd811) (rpoint Vd818))) (exists ((Vd817 $$unsorted)) (and (= Vd810 Vd817) (rpoint Vd817))) (exists ((Vd815 $$unsorted)) (and (= Vd815 Vd808) (rpoint Vd815))) (exists ((Vd816 $$unsorted)) (and (rpoint Vd816) (= Vd809 Vd816))) (exists ((Vd820 $$unsorted)) (and (rpoint Vd820) (= Vd813 Vd820))) (= (vf Vd808 Vd809) (vf Vd811 Vd812)) (= (vangle Vd811 Vd812 Vd813) (vangle Vd808 Vd809 Vd810))) (= (vg Vd808 Vd809 Vd810) (vg Vd811 Vd812 Vd813)))) (forall ((Vd225 $$unsorted) (Vd226 $$unsorted)) (=> (and (not (= Vd225 Vd226)) (exists ((Vd230 $$unsorted)) (and (= Vd230 Vd226) (rpoint Vd230))) (exists ((Vd229 $$unsorted)) (and (= Vd225 Vd229) (rpoint Vd229)))) (exists ((Vd231 $$unsorted)) (and (rcenter Vd225 Vd231) (rcircle Vd231) (ron Vd226 Vd231))))) (forall ((Vd253 $$unsorted) (Vd254 $$unsorted) (Vd255 $$unsorted) (Vd256 $$unsorted) (Vd257 $$unsorted) (Vd258 $$unsorted) (Vd259 $$unsorted) (Vd260 $$unsorted)) (=> (and (not (rinside Vd259 Vd253)) (= Vd260 Vd259) (rpoint Vd260) (ron Vd257 Vd255) (= Vd258 Vd257) (= Vd256 Vd255) (rline Vd256) (rcircle Vd254) (= Vd254 Vd253) (rpoint Vd258) (rinside Vd257 Vd253) (not (ron Vd259 Vd253)) (ron Vd259 Vd255)) (exists ((Vd261 $$unsorted)) (and (rR Vd261 Vd257 Vd259) (rpoint Vd261) (ron Vd261 Vd255) (ron Vd261 Vd253))))) (forall ((Vd340 $$unsorted) (Vd341 $$unsorted) (Vd342 $$unsorted)) (=> (and (exists ((Vd344 $$unsorted)) (and (rpoint Vd344) (= Vd340 Vd344))) (exists ((Vd345 $$unsorted)) (and (rpoint Vd345) (= Vd345 Vd341))) (exists ((Vd346 $$unsorted)) (and (= Vd342 Vd346) (rpoint Vd346))) (rR Vd341 Vd340 Vd342)) (and (not (= Vd342 Vd340)) (rR Vd341 Vd342 Vd340) (not (= Vd341 Vd340)) (not (rR Vd340 Vd341 Vd342))))) _let_23 (forall ((Vd52 $$unsorted) (Vd53 $$unsorted)) (=> (and (rline Vd53) (= Vd52 Vd53)) (exists ((Vd54 $$unsorted)) (and (ron Vd54 Vd52) (rpoint Vd54))))) (forall ((Vd694 $$unsorted) (Vd695 $$unsorted) (Vd696 $$unsorted) (Vd697 $$unsorted)) (=> (and (rreal Vd695) (= Vd694 Vd695) (rreal Vd697) (= Vd696 Vd697)) (= (vplus Vd694 Vd696) (vplus Vd696 Vd694)))) (= _let_15 (vangle vd1200 vd1199 vd1201)) (forall ((Vd685 $$unsorted) (Vd686 $$unsorted) (Vd687 $$unsorted) (Vd688 $$unsorted)) (=> (and (= Vd687 Vd688) (rreal Vd688) (rreal Vd686) (= Vd685 Vd686)) (exists ((Vd690 $$unsorted)) (and (= Vd690 (vplus Vd685 Vd687)) (rreal Vd690))))) _let_22 (forall ((Vd263 $$unsorted) (Vd264 $$unsorted) (Vd265 $$unsorted) (Vd266 $$unsorted) (Vd267 $$unsorted) (Vd268 $$unsorted) (Vd269 $$unsorted) (Vd270 $$unsorted)) (=> (and (not (= Vd269 Vd267)) (ron Vd269 Vd265) (= Vd269 Vd270) (ron Vd267 Vd265) (rinside Vd267 Vd263) (rpoint Vd268) (= Vd266 Vd265) (= Vd263 Vd264) (rcircle Vd264) (rline Vd266) (= Vd268 Vd267) (rpoint Vd270)) (exists ((Vd272 $$unsorted)) (and (rR Vd267 Vd272 Vd269) (rpoint Vd272) (ron Vd272 Vd263) (ron Vd272 Vd265))))) (forall ((Vd636 $$unsorted) (Vd637 $$unsorted) (Vd641 $$unsorted) (Vd642 $$unsorted) (Vd644 $$unsorted) (Vd645 $$unsorted)) (=> (and (= Vd644 Vd645) (ron Vd637 Vd644) (rline Vd645) (not (rS Vd636 Vd637 Vd641)) (exists ((Vd640 $$unsorted)) (and (= Vd640 Vd637) (rpoint Vd640))) (exists ((Vd639 $$unsorted)) (and (rpoint Vd639) (= Vd636 Vd639))) (rline Vd642) (ron Vd636 Vd644) (= Vd642 Vd641)) (rintersect Vd641 Vd644))) (forall ((Vd232 $$unsorted) (Vd233 $$unsorted) (Vd234 $$unsorted) (Vd235 $$unsorted)) (=> (and (= Vd232 Vd233) (rline Vd233) (rline Vd235) (= Vd234 Vd235) (rintersect Vd232 Vd234)) (exists ((Vd236 $$unsorted)) (and (ron Vd236 Vd232) (rpoint Vd236) (ron Vd236 Vd234))))) (forall ((Vd713 $$unsorted) (Vd714 $$unsorted)) (=> (and (= Vd714 Vd713) (rreal Vd714)) (not (rless Vd713 Vd713)))) (forall ((Vd408 $$unsorted) (Vd409 $$unsorted) (Vd410 $$unsorted) (Vd411 $$unsorted)) (=> (and (rR Vd409 Vd408 Vd411) (rR Vd409 Vd408 Vd410) (exists ((Vd416 $$unsorted)) (and (rpoint Vd416) (= Vd411 Vd416))) (exists ((Vd415 $$unsorted)) (and (rpoint Vd415) (= Vd410 Vd415))) (exists ((Vd413 $$unsorted)) (and (rpoint Vd413) (= Vd408 Vd413))) (exists ((Vd414 $$unsorted)) (and (rpoint Vd414) (= Vd409 Vd414)))) (not (rR Vd409 Vd410 Vd411)))) (forall ((Vd933 $$unsorted) (Vd934 $$unsorted) (Vd935 $$unsorted) (Vd936 $$unsorted) (Vd937 $$unsorted) (Vd944 $$unsorted) (Vd945 $$unsorted) (Vd946 $$unsorted)) (=> (and (not (= Vd935 Vd934)) (ron Vd935 Vd945) (ron Vd934 Vd945) (ron Vd934 Vd944) (ron Vd933 Vd944) (exists ((Vd950 $$unsorted)) (and (= Vd946 Vd950) (rline Vd950))) (exists ((Vd949 $$unsorted)) (and (= Vd949 Vd945) (rline Vd949))) (exists ((Vd942 $$unsorted)) (and (rpoint Vd942) (= Vd936 Vd942))) (exists ((Vd941 $$unsorted)) (and (= Vd941 Vd935) (rpoint Vd941))) (exists ((Vd940 $$unsorted)) (and (= Vd934 Vd940) (rpoint Vd940))) (exists ((Vd939 $$unsorted)) (and (= Vd939 Vd933) (rpoint Vd939))) (exists ((Vd943 $$unsorted)) (and (rpoint Vd943) (= Vd943 Vd937))) (exists ((Vd948 $$unsorted)) (and (= Vd948 Vd944) (rline Vd948))) (ron Vd935 Vd946) (ron Vd936 Vd946) (rS Vd933 Vd936 Vd945) (rless (vplus (vangle Vd933 Vd934 Vd935) (vangle Vd934 Vd935 Vd936)) (vplus vperp vperp))) (and (rintersect Vd944 Vd945) (=> (and (ron Vd937 Vd945) (ron Vd937 Vd944)) (rS Vd937 Vd933 Vd945))))) _let_21 (= _let_3 _let_9) (forall ((Vd716 $$unsorted) (Vd717 $$unsorted) (Vd718 $$unsorted) (Vd719 $$unsorted) (Vd720 $$unsorted) (Vd721 $$unsorted)) (=> (and (rreal Vd719) (rreal Vd717) (= Vd716 Vd717) (= Vd718 Vd719) (rreal Vd721) (= Vd721 Vd720) (rless Vd716 Vd718) (rless Vd718 Vd720)) (rless Vd716 Vd720))) (forall ((Vd660 $$unsorted) (Vd661 $$unsorted) (Vd662 $$unsorted) (Vd663 $$unsorted) (Vd664 $$unsorted) (Vd665 $$unsorted)) (=> (and (= Vd664 Vd665) (rline Vd665) (rcircle Vd663) (= Vd661 Vd660) (rpoint Vd661) (= Vd663 Vd662) (rinside Vd660 Vd662) (ron Vd660 Vd664)) (rintersect Vd664 Vd662))) (forall ((Vd979 $$unsorted) (Vd980 $$unsorted) (Vd981 $$unsorted) (Vd982 $$unsorted) (Vd988 $$unsorted) (Vd989 $$unsorted)) (=> (and (= Vd988 Vd989) (rline Vd989) (not (= Vd979 Vd980)) (exists ((Vd987 $$unsorted)) (and (= Vd982 Vd987) (rpoint Vd987))) (exists ((Vd984 $$unsorted)) (and (= Vd984 Vd979) (rpoint Vd984))) (exists ((Vd985 $$unsorted)) (and (rpoint Vd985) (= Vd985 Vd980))) (exists ((Vd986 $$unsorted)) (and (rpoint Vd986) (= Vd981 Vd986))) (not (= Vd979 Vd981)) (not (= Vd982 Vd979)) (not (= Vd981 Vd980)) (not (= Vd982 Vd980)) (not (= Vd982 Vd981)) (not (ron Vd982 Vd988))) (= (= (vg Vd979 Vd982 Vd980) (vplus (vg Vd979 Vd981 Vd982) (vg Vd982 Vd981 Vd980))) (rR Vd981 Vd979 Vd980)))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1050 Vd1049) (not (= Vd1049 Vd1047)) (rpoint Vd1050) (rpoint Vd1048) (= Vd1047 Vd1048)) (rpoint (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)))) (forall ((Vd384 $$unsorted) (Vd385 $$unsorted) (Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (and (exists ((Vd392 $$unsorted)) (and (= Vd392 Vd387) (rpoint Vd392))) (exists ((Vd391 $$unsorted)) (and (= Vd391 Vd386) (rpoint Vd391))) (exists ((Vd389 $$unsorted)) (and (= Vd384 Vd389) (rpoint Vd389))) (exists ((Vd390 $$unsorted)) (and (= Vd390 Vd385) (rpoint Vd390))) (rR Vd385 Vd384 Vd386) (rR Vd386 Vd385 Vd387)) (rR Vd385 Vd384 Vd387))) (forall ((Vd275 $$unsorted) (Vd276 $$unsorted) (Vd277 $$unsorted) (Vd278 $$unsorted)) (=> (and (rintersect Vd275 Vd277) (= Vd277 Vd278) (rcircle Vd278) (= Vd275 Vd276) (rcircle Vd276)) (exists ((Vd279 $$unsorted)) (and (rpoint Vd279) (ron Vd279 Vd275) (ron Vd279 Vd277))))) (forall ((Vd537 $$unsorted) (Vd538 $$unsorted) (Vd539 $$unsorted) (Vd544 $$unsorted) (Vd545 $$unsorted) (Vd546 $$unsorted) (Vd547 $$unsorted)) (=> (and (not (ron Vd547 Vd538)) (rS Vd546 Vd547 Vd537) (ron Vd546 Vd538) (ron Vd544 Vd539) (exists ((Vd552 $$unsorted)) (and (rpoint Vd552) (= Vd547 Vd552))) (exists ((Vd542 $$unsorted)) (and (= Vd542 Vd538) (rline Vd542))) (exists ((Vd541 $$unsorted)) (and (rline Vd541) (= Vd537 Vd541))) (exists ((Vd543 $$unsorted)) (and (rline Vd543) (= Vd539 Vd543))) (exists ((Vd549 $$unsorted)) (and (rpoint Vd549) (= Vd544 Vd549))) (exists ((Vd550 $$unsorted)) (and (rpoint Vd550) (= Vd550 Vd545))) (exists ((Vd551 $$unsorted)) (and (= Vd551 Vd546) (rpoint Vd551))) (ron Vd544 Vd537) (ron Vd544 Vd538) (ron Vd545 Vd537) (ron Vd547 Vd539) (not (rS Vd545 Vd547 Vd538)) (not (= Vd545 Vd544))) (rS Vd545 Vd546 Vd539))) (forall ((Vd691 $$unsorted) (Vd692 $$unsorted)) (=> (and (= Vd691 Vd692) (rreal Vd692)) (= (vplus Vd691 v0) Vd691))) (forall ((Vd109 $$unsorted) (Vd110 $$unsorted) (Vd111 $$unsorted) (Vd112 $$unsorted) (Vd113 $$unsorted) (Vd114 $$unsorted)) (=> (and (rR Vd114 Vd111 Vd112) (rR Vd113 Vd111 Vd112) (ron Vd112 Vd109) (exists ((Vd118 $$unsorted)) (and (rpoint Vd118) (= Vd113 Vd118))) (exists ((Vd117 $$unsorted)) (and (= Vd117 Vd112) (rpoint Vd117))) (rline Vd110) (= Vd110 Vd109) (exists ((Vd116 $$unsorted)) (and (rpoint Vd116) (= Vd116 Vd111))) (exists ((Vd119 $$unsorted)) (and (= Vd114 Vd119) (rpoint Vd119))) (ron Vd111 Vd109) (ron Vd113 Vd109)) (exists ((Vd123 $$unsorted)) (and (not (= Vd123 Vd114)) (rpoint Vd123) (rR Vd123 Vd111 Vd112) (not (= Vd123 Vd113)))))) (forall ((Vd425 $$unsorted) (Vd426 $$unsorted) (Vd430 $$unsorted) (Vd431 $$unsorted)) (=> (and (rS Vd425 Vd426 Vd430) (exists ((Vd429 $$unsorted)) (and (rpoint Vd429) (= Vd426 Vd429))) (exists ((Vd428 $$unsorted)) (and (rpoint Vd428) (= Vd428 Vd425))) (rline Vd431) (= Vd431 Vd430)) (rS Vd426 Vd425 Vd430))) (forall ((Vd761 $$unsorted) (Vd762 $$unsorted)) (=> (and (exists ((Vd764 $$unsorted)) (and (rpoint Vd764) (= Vd764 Vd761))) (exists ((Vd765 $$unsorted)) (and (rpoint Vd765) (= Vd762 Vd765)))) (= (vf Vd762 Vd761) (vf Vd761 Vd762)))) (forall ((Vd170 $$unsorted) (Vd171 $$unsorted) (Vd172 $$unsorted) (Vd173 $$unsorted) (Vd174 $$unsorted) (Vd175 $$unsorted) (Vd177 $$unsorted) (Vd178 $$unsorted)) (=> (and (rpoint Vd178) (rS Vd174 Vd172 Vd170) (= Vd171 Vd170) (rline Vd171) (rpoint Vd173) (not (ron Vd172 Vd170)) (rpoint Vd175) (rS Vd177 Vd172 Vd170) (= Vd178 Vd177) (= Vd174 Vd175) (= Vd173 Vd172)) (exists ((Vd180 $$unsorted)) (and (not (= Vd177 Vd180)) (not (= Vd174 Vd180)) (rS Vd180 Vd172 Vd170) (rpoint Vd180) (not (= Vd172 Vd180)))))) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (exists ((Vd1073 $$unsorted)) (and (rpoint Vd1073) (= Vd1070 Vd1073))) (exists ((Vd1072 $$unsorted)) (and (rpoint Vd1072) (= Vd1072 Vd1069))) (not (= Vd1070 Vd1069))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (= Vd1075 Vd1074) (not (= Vd1074 Vd1070)) (rpoint Vd1075) (not (= Vd1069 Vd1074))) (rpoint (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070)))))) _let_20 (forall ((Vd238 $$unsorted) (Vd239 $$unsorted) (Vd240 $$unsorted) (Vd241 $$unsorted)) (=> (and (= Vd240 Vd241) (rline Vd241) (= Vd239 Vd238) (rcircle Vd239) (rintersect Vd240 Vd238)) (exists ((Vd242 $$unsorted)) (and (ron Vd242 Vd240) (rpoint Vd242) (ron Vd242 Vd238))))) (forall ((Vd958 $$unsorted) (Vd959 $$unsorted) (Vd960 $$unsorted)) (=> (and (exists ((Vd964 $$unsorted)) (and (= Vd964 Vd960) (rpoint Vd964))) (exists ((Vd962 $$unsorted)) (and (= Vd962 Vd958) (rpoint Vd962))) (exists ((Vd963 $$unsorted)) (and (= Vd959 Vd963) (rpoint Vd963)))) (exists ((Vd966 $$unsorted)) (and (rreal Vd966) (= Vd966 (vg Vd958 Vd959 Vd960)))))) _let_19 (exists ((Vd1204 $$unsorted)) (and (rpoint Vd1204) (= vd1200 Vd1204))) (forall ((Vd71 $$unsorted) (Vd72 $$unsorted) (Vd73 $$unsorted) (Vd74 $$unsorted) (Vd75 $$unsorted)) (=> (and (ron Vd75 Vd71) (ron Vd74 Vd71) (exists ((Vd78 $$unsorted)) (and (= Vd74 Vd78) (rpoint Vd78))) (rline Vd72) (= Vd72 Vd71) (exists ((Vd77 $$unsorted)) (and (rpoint Vd77) (= Vd77 Vd73))) (exists ((Vd79 $$unsorted)) (and (= Vd75 Vd79) (rpoint Vd79))) (ron Vd73 Vd71)) (exists ((Vd81 $$unsorted)) (and (not (= Vd81 Vd74)) (rpoint Vd81) (ron Vd81 Vd71) (not (= Vd73 Vd81)))))) (forall ((Vd478 $$unsorted) (Vd479 $$unsorted) (Vd480 $$unsorted) (Vd485 $$unsorted) (Vd486 $$unsorted)) (=> (and (not (ron Vd479 Vd485)) (rR Vd479 Vd478 Vd480) (exists ((Vd482 $$unsorted)) (and (= Vd482 Vd478) (rpoint Vd482))) (exists ((Vd483 $$unsorted)) (and (= Vd479 Vd483) (rpoint Vd483))) (exists ((Vd484 $$unsorted)) (and (= Vd480 Vd484) (rpoint Vd484))) (rline Vd486) (= Vd486 Vd485) (ron Vd478 Vd485)) (rS Vd479 Vd480 Vd485))) _let_18 (forall ((Vd777 $$unsorted) (Vd778 $$unsorted) (Vd779 $$unsorted)) (let ((_let_1 (vangle Vd777 Vd778 Vd779))) (=> (and (exists ((Vd783 $$unsorted)) (and (= Vd783 Vd779) (rpoint Vd783))) (exists ((Vd781 $$unsorted)) (and (rpoint Vd781) (= Vd777 Vd781))) (exists ((Vd782 $$unsorted)) (and (= Vd782 Vd778) (rpoint Vd782)))) (and (rleq _let_1 (vplus vperp vperp)) (rleq v0 _let_1))))) (forall ((Vd676 $$unsorted) (Vd677 $$unsorted) (Vd681 $$unsorted) (Vd682 $$unsorted)) (=> (and (ron Vd677 Vd682) (rinside Vd677 Vd681) (exists ((Vd680 $$unsorted)) (and (= Vd677 Vd680) (rpoint Vd680))) (exists ((Vd679 $$unsorted)) (and (= Vd676 Vd679) (rpoint Vd679))) (ron Vd676 Vd681) (rinside Vd676 Vd682)) (rintersect Vd681 Vd682))) (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (=> (and (ron Vd855 Vd860) (exists ((Vd857 $$unsorted)) (and (rpoint Vd857) (= Vd854 Vd857))) (exists ((Vd858 $$unsorted)) (and (rpoint Vd858) (= Vd855 Vd858))) (rcenter Vd859 Vd860)) (= (rless (vf Vd859 Vd854) (vf Vd859 Vd855)) (rinside Vd854 Vd860)))) (forall ((Vd280 $$unsorted) (Vd281 $$unsorted)) (=> (and (rintersect Vd280 Vd281) (exists ((Vd284 $$unsorted)) (and (= Vd284 Vd281) (rcircle Vd284))) (exists ((Vd283 $$unsorted)) (and (= Vd280 Vd283) (rcircle Vd283)))) (exists ((Vd285 $$unsorted) (Vd286 $$unsorted)) (and (ron Vd286 Vd281) (rpoint Vd286) (ron Vd285 Vd280) (rpoint Vd285) (ron Vd285 Vd281) (ron Vd286 Vd280) (not (= Vd286 Vd285)))))) (forall ((Vd847 $$unsorted) (Vd848 $$unsorted) (Vd849 $$unsorted) (Vd850 $$unsorted) (Vd851 $$unsorted) (Vd852 $$unsorted)) (=> (and (= Vd851 Vd852) (rpoint Vd852) (rcenter Vd849 Vd850) (= Vd848 Vd847) (rpoint Vd848) (ron Vd851 Vd850)) (= (ron Vd847 Vd850) (= (vf Vd849 Vd847) (vf Vd849 Vd851))))) (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 $$unsorted)) (and (rpoint Vd803) (= Vd803 Vd799))) (exists ((Vd805 $$unsorted)) (and (= Vd801 Vd805) (rpoint Vd805)))) (and (= _let_1 (vg Vd799 Vd801 Vd800)) (= _let_1 (vg Vd801 Vd799 Vd800)))))) (forall ((Vd5 $$unsorted) (Vd6 $$unsorted) (Vd7 $$unsorted) (Vd9 $$unsorted)) (=> (and (rtriangle Vd9) (= Vd9 (vtriangle Vd5 Vd6 Vd7))) (and (not (= Vd5 Vd7)) (not (= Vd6 Vd5)) (exists ((Vd12 $$unsorted)) (and (rpoint Vd12) (= Vd12 Vd6))) (exists ((Vd11 $$unsorted)) (and (= Vd11 Vd5) (rpoint Vd11))) (exists ((Vd13 $$unsorted)) (and (= Vd13 Vd7) (rpoint Vd13))) (not (= Vd6 Vd7))))) (forall ((Vd837 $$unsorted) (Vd838 $$unsorted) (Vd842 $$unsorted) (Vd843 $$unsorted) (Vd844 $$unsorted)) (=> (and (rcenter Vd842 Vd844) (rcenter Vd842 Vd843) (exists ((Vd840 $$unsorted)) (and (rpoint Vd840) (= Vd837 Vd840))) (exists ((Vd841 $$unsorted)) (and (= Vd838 Vd841) (rpoint Vd841))) (ron Vd837 Vd843) (ron Vd838 Vd844) (= (vf Vd842 Vd838) (vf Vd842 Vd837))) (= Vd843 Vd844))) (forall ((Vd38 $$unsorted) (Vd39 $$unsorted) (Vd40 $$unsorted) (Vd41 $$unsorted)) (=> (and (exists ((Vd43 $$unsorted)) (and (= Vd43 Vd38) (rpoint Vd43))) (exists ((Vd44 $$unsorted)) (and (rpoint Vd44) (= Vd44 Vd39))) (exists ((Vd45 $$unsorted)) (and (= Vd40 Vd45) (rpoint Vd45))) (exists ((Vd46 $$unsorted)) (and (rpoint Vd46) (= Vd41 Vd46)))) (exists ((Vd47 $$unsorted)) (and (not (= Vd47 Vd41)) (not (= Vd38 Vd47)) (rpoint Vd47) (not (= Vd39 Vd47)) (not (= Vd47 Vd40)))))) (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (=> (and (ron Vd315 Vd320) (ron Vd314 Vd319) (exists ((Vd317 $$unsorted)) (and (rpoint Vd317) (= Vd314 Vd317))) (exists ((Vd318 $$unsorted)) (and (= Vd315 Vd318) (rpoint Vd318))) (not (= Vd314 Vd315)) (exists ((Vd323 $$unsorted)) (and (= Vd323 Vd319) (rline Vd323))) (exists ((Vd324 $$unsorted)) (and (= Vd320 Vd324) (rline Vd324))) (ron Vd314 Vd320) (ron Vd315 Vd319)) (= Vd319 Vd320))) (forall ((Vd666 $$unsorted) (Vd667 $$unsorted) (Vd671 $$unsorted) (Vd672 $$unsorted)) (=> (and (not (ron Vd667 Vd672)) (ron Vd666 Vd671) (exists ((Vd674 $$unsorted)) (and (rcircle Vd674) (= Vd671 Vd674))) (exists ((Vd669 $$unsorted)) (and (= Vd669 Vd666) (rpoint Vd669))) (exists ((Vd670 $$unsorted)) (and (rpoint Vd670) (= Vd670 Vd667))) (exists ((Vd675 $$unsorted)) (and (rcircle Vd675) (= Vd672 Vd675))) (or (ron Vd667 Vd671) (rinside Vd667 Vd671)) (rinside Vd666 Vd672) (not (rinside Vd667 Vd672))) (rintersect Vd671 Vd672))) (forall ((Vd1109 $$unsorted) (Vd1110 $$unsorted) (Vd1111 $$unsorted) (Vd1112 $$unsorted) (Vd1113 $$unsorted) (Vd1114 $$unsorted) (Vd1115 $$unsorted) (Vd1116 $$unsorted)) (let ((_let_1 (vf Vd1113 Vd1115))) (=> (and (not (= Vd1111 Vd1109)) (= Vd1116 Vd1115) (rpoint Vd1116) (= Vd1113 Vd1114) (rpoint Vd1114) (rpoint Vd1112) (rpoint Vd1110) (= Vd1110 Vd1109) (= Vd1112 Vd1111) (not (= Vd1115 Vd1113)) (rless _let_1 (vf Vd1109 Vd1111))) (= (vf Vd1109 (vskolem1120 Vd1109 Vd1110 Vd1111 Vd1112 Vd1113 Vd1114 Vd1115 Vd1116)) _let_1)))) (forall ((Vd874 $$unsorted) (Vd875 $$unsorted) (Vd876 $$unsorted) (Vd877 $$unsorted) (Vd883 $$unsorted) (Vd884 $$unsorted)) (=> (and (not (ron Vd877 Vd884)) (not (ron Vd877 Vd883)) (not (= Vd874 Vd876)) (ron Vd875 Vd883) (ron Vd874 Vd884) (ron Vd874 Vd883) (exists ((Vd886 $$unsorted)) (and (= Vd883 Vd886) (rline Vd886))) (exists ((Vd881 $$unsorted)) (and (= Vd876 Vd881) (rpoint Vd881))) (exists ((Vd879 $$unsorted)) (and (= Vd879 Vd874) (rpoint Vd879))) (exists ((Vd880 $$unsorted)) (and (rpoint Vd880) (= Vd880 Vd875))) (exists ((Vd882 $$unsorted)) (and (rpoint Vd882) (= Vd882 Vd877))) (exists ((Vd887 $$unsorted)) (and (= Vd884 Vd887) (rline Vd887))) (ron Vd876 Vd884) (not (= Vd874 Vd875)) (not (= Vd884 Vd883))) (= (= (vangle Vd875 Vd874 Vd876) (vplus (vangle Vd875 Vd874 Vd877) (vangle Vd877 Vd874 Vd876))) (and (rS Vd875 Vd877 Vd884) (rS Vd876 Vd877 Vd883))))) (forall ((Vd372 $$unsorted) (Vd373 $$unsorted) (Vd374 $$unsorted) (Vd375 $$unsorted)) (=> (and (exists ((Vd379 $$unsorted)) (and (rpoint Vd379) (= Vd379 Vd374))) (exists ((Vd378 $$unsorted)) (and (= Vd373 Vd378) (rpoint Vd378))) (exists ((Vd377 $$unsorted)) (and (rpoint Vd377) (= Vd372 Vd377))) (exists ((Vd380 $$unsorted)) (and (= Vd380 Vd375) (rpoint Vd380))) (rR Vd373 Vd372 Vd374) (rR Vd375 Vd372 Vd373)) (rR Vd375 Vd372 Vd374))) (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (=> (and (exists ((Vd745 $$unsorted)) (and (= Vd742 Vd745) (rpoint Vd745))) (exists ((Vd744 $$unsorted)) (and (= Vd741 Vd744) (rpoint Vd744)))) (exists ((Vd747 $$unsorted)) (and (= (vf Vd741 Vd742) Vd747) (rreal Vd747))))) (rpoint vd14) (forall ((Vd792 $$unsorted) (Vd793 $$unsorted) (Vd794 $$unsorted) (Vd795 $$unsorted) (Vd796 $$unsorted) (Vd797 $$unsorted)) (=> (and (rpoint Vd797) (rpoint Vd793) (= Vd792 Vd793) (rpoint Vd795) (= Vd794 Vd795) (= Vd797 Vd796)) (rgeq (vg Vd792 Vd794 Vd796) v0))) (forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (=> (rcenter Vd1 Vd2) (exists ((Vd3 $$unsorted) (Vd4 $$unsorted)) (and (rcircle Vd4) (rpoint Vd3) (= Vd1 Vd3) (= Vd2 Vd4))))) (forall ((Vd828 $$unsorted) (Vd829 $$unsorted) (Vd830 $$unsorted)) (=> (and (rR Vd829 Vd828 Vd830) (exists ((Vd833 $$unsorted)) (and (rpoint Vd833) (= Vd829 Vd833))) (exists ((Vd832 $$unsorted)) (and (= Vd832 Vd828) (rpoint Vd832))) (exists ((Vd834 $$unsorted)) (and (rpoint Vd834) (= Vd830 Vd834)))) (= (vf Vd828 Vd830) (vplus (vf Vd828 Vd829) (vf Vd829 Vd830))))) _let_17 (forall ((Vd616 $$unsorted) (Vd617 $$unsorted) (Vd622 $$unsorted) (Vd623 $$unsorted) (Vd630 $$unsorted) (Vd631 $$unsorted) (Vd632 $$unsorted) (Vd633 $$unsorted)) (=> (and (ron Vd631 Vd632) (rline Vd633) (rcenter Vd630 Vd616) (not (= Vd623 Vd622)) (rintersect Vd616 Vd617) (exists ((Vd620 $$unsorted)) (and (= Vd617 Vd620) (rcircle Vd620))) (exists ((Vd619 $$unsorted)) (and (= Vd616 Vd619) (rcircle Vd619))) (not (= Vd616 Vd617)) (exists ((Vd625 $$unsorted)) (and (rpoint Vd625) (= Vd622 Vd625))) (exists ((Vd626 $$unsorted)) (and (rpoint Vd626) (= Vd623 Vd626))) (ron Vd622 Vd616) (ron Vd622 Vd617) (ron Vd623 Vd616) (ron Vd623 Vd617) (rcenter Vd631 Vd617) (= Vd633 Vd632) (ron Vd630 Vd632)) (not (rS Vd622 Vd623 Vd632)))) (forall ((Vd185 $$unsorted) (Vd186 $$unsorted) (Vd187 $$unsorted) (Vd188 $$unsorted)) (=> (and (= Vd187 Vd188) (not (ron Vd187 Vd185)) (= Vd186 Vd185) (rline Vd186) (rpoint Vd188)) (exists ((Vd189 $$unsorted)) (and (not (rS Vd189 Vd187 Vd185)) (rpoint Vd189))))) (forall ((Vd466 $$unsorted) (Vd467 $$unsorted) (Vd468 $$unsorted) (Vd473 $$unsorted) (Vd474 $$unsorted)) (=> (and (rS Vd466 Vd468 Vd473) (rR Vd467 Vd466 Vd468) (exists ((Vd471 $$unsorted)) (and (= Vd467 Vd471) (rpoint Vd471))) (exists ((Vd470 $$unsorted)) (and (rpoint Vd470) (= Vd470 Vd466))) (exists ((Vd472 $$unsorted)) (and (rpoint Vd472) (= Vd472 Vd468))) (rline Vd474) (= Vd474 Vd473)) (rS Vd466 Vd467 Vd473))) (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (=> (and (not (= Vd217 Vd218)) (exists ((Vd220 $$unsorted)) (and (= Vd220 Vd217) (rpoint Vd220))) (exists ((Vd221 $$unsorted)) (and (= Vd218 Vd221) (rpoint Vd221)))) (exists ((Vd223 $$unsorted)) (and (rline Vd223) (ron Vd217 Vd223) (ron Vd218 Vd223))))) (forall ((Vd442 $$unsorted) (Vd443 $$unsorted) (Vd444 $$unsorted) (Vd449 $$unsorted) (Vd450 $$unsorted)) (=> (and (exists ((Vd448 $$unsorted)) (and (rpoint Vd448) (= Vd444 Vd448))) (exists ((Vd447 $$unsorted)) (and (rpoint Vd447) (= Vd447 Vd443))) (exists ((Vd446 $$unsorted)) (and (= Vd442 Vd446) (rpoint Vd446))) (rline Vd450) (= Vd450 Vd449) (rS Vd442 Vd443 Vd449) (rS Vd442 Vd444 Vd449)) (rS Vd443 Vd444 Vd449))) (exists ((Vd1205 $$unsorted)) (and (rpoint Vd1205) (= vd1201 Vd1205))) (forall ((Vd200 $$unsorted) (Vd201 $$unsorted) (Vd202 $$unsorted) (Vd203 $$unsorted)) (=> (and (ron Vd203 Vd200) (ron Vd202 Vd200) (exists ((Vd205 $$unsorted)) (and (= Vd202 Vd205) (rpoint Vd205))) (rcircle Vd201) (= Vd200 Vd201) (exists ((Vd206 $$unsorted)) (and (= Vd206 Vd203) (rpoint Vd206)))) (exists ((Vd208 $$unsorted)) (and (not (= Vd208 Vd203)) (not (= Vd208 Vd202)) (rpoint Vd208) (ron Vd208 Vd200))))) (forall ((Vd699 $$unsorted) (Vd700 $$unsorted) (Vd701 $$unsorted) (Vd702 $$unsorted)) (=> (and (= Vd701 Vd702) (rreal Vd702) (= Vd699 Vd700) (rreal Vd700)) (or (rless Vd699 Vd701) (rless Vd701 Vd699) (= Vd699 Vd701)))) (= _let_8 (vf vd1199 vd1201)) (forall ((Vd19 $$unsorted) (Vd20 $$unsorted)) (=> (and (exists ((Vd23 $$unsorted)) (and (rpoint Vd23) (= Vd23 Vd20))) (exists ((Vd22 $$unsorted)) (and (rpoint Vd22) (= Vd22 Vd19)))) (exists ((Vd24 $$unsorted)) (and (not (= Vd24 Vd20)) (rpoint Vd24) (not (= Vd19 Vd24)))))) _let_7 (forall ((Vd1109 $$unsorted) (Vd1110 $$unsorted) (Vd1111 $$unsorted) (Vd1112 $$unsorted) (Vd1113 $$unsorted) (Vd1114 $$unsorted) (Vd1115 $$unsorted) (Vd1116 $$unsorted)) (=> (and (rless (vf Vd1113 Vd1115) (vf Vd1109 Vd1111)) (not (= Vd1113 Vd1115)) (not (= Vd1111 Vd1109)) (= Vd1115 Vd1116) (= Vd1113 Vd1114) (rpoint Vd1114) (= Vd1112 Vd1111) (rpoint Vd1112) (rpoint Vd1110) (= Vd1110 Vd1109) (rpoint Vd1116)) (rpoint (vskolem1120 Vd1109 Vd1110 Vd1111 Vd1112 Vd1113 Vd1114 Vd1115 Vd1116)))) _let_6 _let_5 (forall ((Vd862 $$unsorted) (Vd863 $$unsorted) (Vd864 $$unsorted) (Vd865 $$unsorted) (Vd866 $$unsorted) (Vd867 $$unsorted) (Vd868 $$unsorted) (Vd869 $$unsorted)) (=> (and (ron Vd862 Vd868) (not (= Vd866 Vd862)) (= Vd866 Vd867) (= Vd864 Vd865) (rpoint Vd863) (= Vd862 Vd863) (rpoint Vd865) (rpoint Vd867) (rline Vd869) (= Vd869 Vd868) (not (= Vd862 Vd864)) (ron Vd864 Vd868)) (= (= v0 (vangle Vd864 Vd862 Vd866)) (and (ron Vd866 Vd868) (not (rR Vd862 Vd864 Vd866)))))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd306 $$unsorted) (Vd307 $$unsorted) (Vd308 $$unsorted) (Vd309 $$unsorted) (Vd311 $$unsorted)) (=> (and (not (ron Vd311 Vd306)) (ron Vd309 Vd306) (ron Vd308 Vd306) (rintersect Vd301 Vd302) (exists ((Vd305 $$unsorted)) (and (= Vd302 Vd305) (rcircle Vd305))) (exists ((Vd304 $$unsorted)) (and (rcircle Vd304) (= Vd304 Vd301))) (rline Vd307) (= Vd306 Vd307) (rcenter Vd308 Vd301) (rcenter Vd309 Vd302)) (exists ((Vd312 $$unsorted)) (and (not (rS Vd312 Vd311 Vd306)) (ron Vd312 Vd302) (ron Vd312 Vd301) (rpoint Vd312))))) _let_2 (forall ((Vd336 $$unsorted) (Vd337 $$unsorted) (Vd338 $$unsorted) (Vd339 $$unsorted)) (=> (and (rinside Vd336 Vd338) (= Vd339 Vd338) (= Vd336 Vd337) (rpoint Vd337) (rcircle Vd339)) (not (ron Vd336 Vd338)))) (forall ((Vd647 $$unsorted) (Vd648 $$unsorted) (Vd652 $$unsorted) (Vd653 $$unsorted)) (=> (and (or (rinside Vd648 Vd652) (ron Vd648 Vd652)) (exists ((Vd650 $$unsorted)) (and (rpoint Vd650) (= Vd650 Vd647))) (exists ((Vd651 $$unsorted)) (and (= Vd651 Vd648) (rpoint Vd651))) (exists ((Vd655 $$unsorted)) (and (= Vd655 Vd652) (rcircle Vd655))) (exists ((Vd656 $$unsorted)) (and (rcircle Vd656) (= Vd653 Vd656))) (or (rinside Vd647 Vd652) (ron Vd647 Vd652)) (not (exists ((Vd657 $$unsorted)) (rS Vd647 Vd648 Vd657)))) (exists ((Vd659 $$unsorted)) (rintersect Vd659 Vd652)))) (forall ((Vd288 $$unsorted) (Vd289 $$unsorted) (Vd293 $$unsorted) (Vd294 $$unsorted) (Vd295 $$unsorted) (Vd296 $$unsorted) (Vd298 $$unsorted)) (=> (and (ron Vd296 Vd293) (rcenter Vd295 Vd288) (rline Vd294) (exists ((Vd292 $$unsorted)) (and (= Vd292 Vd289) (rcircle Vd292))) (exists ((Vd291 $$unsorted)) (and (rcircle Vd291) (= Vd291 Vd288))) (= Vd293 Vd294) (rintersect Vd288 Vd289) (rcenter Vd296 Vd289) (ron Vd295 Vd293) (not (ron Vd298 Vd293))) (exists ((Vd299 $$unsorted)) (and (ron Vd299 Vd289) (rpoint Vd299) (ron Vd299 Vd288) (rS Vd299 Vd298 Vd293))))) (forall ((Vd594 $$unsorted) (Vd595 $$unsorted) (Vd596 $$unsorted) (Vd601 $$unsorted) (Vd602 $$unsorted) (Vd603 $$unsorted) (Vd604 $$unsorted)) (=> (and (rR Vd596 Vd594 Vd595) (or (rinside Vd595 Vd603) (ron Vd595 Vd603)) (or (ron Vd594 Vd603) (rinside Vd594 Vd603)) (= Vd604 Vd603) (exists ((Vd599 $$unsorted)) (and (= Vd599 Vd595) (rpoint Vd599))) (exists ((Vd598 $$unsorted)) (and (rpoint Vd598) (= Vd594 Vd598))) (exists ((Vd600 $$unsorted)) (and (rpoint Vd600) (= Vd600 Vd596))) (rline Vd602) (= Vd602 Vd601) (rcircle Vd604)) (rinside Vd596 Vd603))) _let_1 (forall ((Vd908 $$unsorted) (Vd909 $$unsorted) (Vd910 $$unsorted) (Vd911 $$unsorted) (Vd912 $$unsorted) (Vd919 $$unsorted) (Vd920 $$unsorted)) (=> (and (not (rR Vd908 Vd909 Vd911)) (not (= Vd908 Vd911)) (not (= Vd908 Vd910)) (not (= Vd909 Vd908)) (ron Vd910 Vd920) (exists ((Vd918 $$unsorted)) (and (rpoint Vd918) (= Vd918 Vd912))) (exists ((Vd917 $$unsorted)) (and (= Vd917 Vd911) (rpoint Vd917))) (exists ((Vd914 $$unsorted)) (and (rpoint Vd914) (= Vd914 Vd908))) (exists ((Vd915 $$unsorted)) (and (= Vd909 Vd915) (rpoint Vd915))) (exists ((Vd916 $$unsorted)) (and (= Vd910 Vd916) (rpoint Vd916))) (exists ((Vd922 $$unsorted)) (and (= Vd919 Vd922) (rline Vd922))) (exists ((Vd923 $$unsorted)) (and (rline Vd923) (= Vd920 Vd923))) (ron Vd908 Vd919) (ron Vd909 Vd919) (ron Vd911 Vd919) (ron Vd912 Vd920) (not (= Vd908 Vd912)) (not (rR Vd908 Vd910 Vd912))) (= (vangle Vd911 Vd908 Vd912) (vangle Vd909 Vd908 Vd910)))) (forall ((Vd500 $$unsorted) (Vd501 $$unsorted) (Vd502 $$unsorted) (Vd507 $$unsorted) (Vd508 $$unsorted)) (=> (and (ron Vd501 Vd507) (ron Vd501 Vd508) (not (rS Vd500 Vd502 Vd507)) (ron Vd500 Vd508) (not (= Vd507 Vd508)) (exists ((Vd510 $$unsorted)) (and (rline Vd510) (= Vd507 Vd510))) (exists ((Vd506 $$unsorted)) (and (= Vd506 Vd502) (rpoint Vd506))) (exists ((Vd504 $$unsorted)) (and (rpoint Vd504) (= Vd500 Vd504))) (exists ((Vd505 $$unsorted)) (and (= Vd505 Vd501) (rpoint Vd505))) (not (= Vd500 Vd501)) (not (= Vd500 Vd502)) (not (= Vd501 Vd502)) (exists ((Vd511 $$unsorted)) (and (rline Vd511) (= Vd508 Vd511))) (ron Vd502 Vd508)) (rR Vd501 Vd500 Vd502))) (forall ((Vd55 $$unsorted) (Vd56 $$unsorted) (Vd57 $$unsorted) (Vd58 $$unsorted)) (=> (and (ron Vd57 Vd55) (= Vd58 Vd57) (rline Vd56) (= Vd56 Vd55) (rpoint Vd58)) (exists ((Vd59 $$unsorted)) (and (not (= Vd57 Vd59)) (ron Vd59 Vd55) (rpoint Vd59))))) (forall ((Vd434 $$unsorted) (Vd435 $$unsorted) (Vd439 $$unsorted) (Vd440 $$unsorted)) (=> (and (rS Vd434 Vd435 Vd439) (exists ((Vd438 $$unsorted)) (and (= Vd438 Vd435) (rpoint Vd438))) (exists ((Vd437 $$unsorted)) (and (rpoint Vd437) (= Vd434 Vd437))) (rline Vd440) (= Vd439 Vd440)) (not (ron Vd434 Vd439)))) (forall ((Vd127 $$unsorted) (Vd128 $$unsorted) (Vd129 $$unsorted) (Vd130 $$unsorted)) (=> (and (ron Vd130 Vd127) (exists ((Vd133 $$unsorted)) (and (= Vd130 Vd133) (rpoint Vd133))) (rline Vd128) (= Vd127 Vd128) (exists ((Vd132 $$unsorted)) (and (rpoint Vd132) (= Vd129 Vd132))) (ron Vd129 Vd127) (not (= Vd130 Vd129))) (exists ((Vd136 $$unsorted)) (and (rR Vd130 Vd129 Vd136) (rpoint Vd136))))) (forall ((Vd352 $$unsorted) (Vd353 $$unsorted) (Vd354 $$unsorted) (Vd359 $$unsorted) (Vd360 $$unsorted)) (=> (and (= Vd359 Vd360) (ron Vd352 Vd359) (rline Vd360) (exists ((Vd357 $$unsorted)) (and (rpoint Vd357) (= Vd353 Vd357))) (exists ((Vd356 $$unsorted)) (and (= Vd352 Vd356) (rpoint Vd356))) (exists ((Vd358 $$unsorted)) (and (= Vd358 Vd354) (rpoint Vd358))) (rR Vd353 Vd352 Vd354) (ron Vd353 Vd359)) (ron Vd354 Vd359))) (forall ((Vd420 $$unsorted) (Vd421 $$unsorted) (Vd422 $$unsorted) (Vd423 $$unsorted)) (=> (and (not (ron Vd420 Vd422)) (= Vd423 Vd422) (rpoint Vd421) (= Vd420 Vd421) (rline Vd423)) (rS Vd420 Vd420 Vd422))) (forall ((Vd755 $$unsorted) (Vd756 $$unsorted)) (=> (and (exists ((Vd759 $$unsorted)) (and (rpoint Vd759) (= Vd756 Vd759))) (exists ((Vd758 $$unsorted)) (and (rpoint Vd758) (= Vd758 Vd755)))) (rleq v0 (vf Vd755 Vd756)))) (forall ((Vd194 $$unsorted) (Vd195 $$unsorted) (Vd196 $$unsorted) (Vd197 $$unsorted)) (=> (and (ron Vd196 Vd194) (= Vd196 Vd197) (rpoint Vd197) (= Vd194 Vd195) (rcircle Vd195)) (exists ((Vd198 $$unsorted)) (and (rpoint Vd198) (ron Vd198 Vd194) (not (= Vd198 Vd196)))))) (forall ((Vd581 $$unsorted) (Vd582 $$unsorted) (Vd583 $$unsorted) (Vd588 $$unsorted) (Vd589 $$unsorted) (Vd590 $$unsorted) (Vd591 $$unsorted)) (=> (and (rinside Vd581 Vd590) (ron Vd583 Vd588) (ron Vd581 Vd588) (= Vd591 Vd590) (exists ((Vd586 $$unsorted)) (and (rpoint Vd586) (= Vd586 Vd582))) (exists ((Vd585 $$unsorted)) (and (rpoint Vd585) (= Vd581 Vd585))) (exists ((Vd587 $$unsorted)) (and (rpoint Vd587) (= Vd583 Vd587))) (rline Vd589) (= Vd588 Vd589) (rcircle Vd591) (ron Vd582 Vd588) (ron Vd582 Vd590) (ron Vd583 Vd590) (not (= Vd583 Vd582))) (rR Vd581 Vd582 Vd583))) (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)) (= Vd1116 Vd1115) (rpoint Vd1114) (= Vd1111 Vd1112) (rpoint Vd1112) (rpoint Vd1110) (= Vd1110 Vd1109) (= Vd1114 Vd1113) (rpoint Vd1116) (not (= Vd1113 Vd1115))) (rR (vskolem1120 Vd1109 Vd1110 Vd1111 Vd1112 Vd1113 Vd1114 Vd1115 Vd1116) Vd1109 Vd1111))) (forall ((Vd159 $$unsorted) (Vd160 $$unsorted) (Vd161 $$unsorted) (Vd162 $$unsorted) (Vd163 $$unsorted) (Vd164 $$unsorted)) (=> (and (rS Vd163 Vd161 Vd159) (rpoint Vd162) (= Vd160 Vd159) (rline Vd160) (not (ron Vd161 Vd159)) (rpoint Vd164) (= Vd163 Vd164) (= Vd162 Vd161)) (exists ((Vd166 $$unsorted)) (and (not (= Vd166 Vd163)) (not (= Vd161 Vd166)) (rpoint Vd166) (rS Vd166 Vd161 Vd159))))) (forall ((Vd1069 $$unsorted) (Vd1070 $$unsorted)) (=> (and (not (= Vd1069 Vd1070)) (exists ((Vd1073 $$unsorted)) (and (rpoint Vd1073) (= Vd1070 Vd1073))) (exists ((Vd1072 $$unsorted)) (and (rpoint Vd1072) (= Vd1072 Vd1069)))) (forall ((Vd1074 $$unsorted) (Vd1075 $$unsorted)) (=> (and (not (= Vd1070 Vd1074)) (rpoint Vd1075) (not (= Vd1069 Vd1074)) (= Vd1074 Vd1075)) (= (vf Vd1069 Vd1070) (vf Vd1074 (vskolem1078 Vd1074 Vd1075 Vd1069 Vd1070))))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (not (= Vd1049 Vd1047)) (rpoint Vd1050) (= Vd1047 Vd1048) (rpoint Vd1048) (= Vd1049 Vd1050)) (= (vf Vd1049 (vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)) (vf Vd1047 Vd1049)))) (forall ((Vd454 $$unsorted) (Vd455 $$unsorted) (Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (and (not (ron Vd455 Vd461)) (rline Vd462) (exists ((Vd460 $$unsorted)) (and (rpoint Vd460) (= Vd456 Vd460))) (exists ((Vd458 $$unsorted)) (and (= Vd454 Vd458) (rpoint Vd458))) (exists ((Vd459 $$unsorted)) (and (= Vd455 Vd459) (rpoint Vd459))) (= Vd461 Vd462) (not (ron Vd454 Vd461)) (not (ron Vd456 Vd461)) (not (rS Vd454 Vd455 Vd461))) (or (rS Vd454 Vd456 Vd461) (rS Vd455 Vd456 Vd461)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 75.78/76.44 % SZS output end Proof for theBenchmark 75.78/76.44 EOF