TSTP Solution File: GEO274+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:50:59 EDT 2023
% Result : Theorem 0.54s 0.73s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 22:34:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.54/0.73 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0B7vYYajd9/cvc5---1.0.5_2293.p...
% 0.54/0.73 ------- get file name : TPTP file name is GEO274+1
% 0.54/0.73 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2293.smt2...
% 0.54/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.54/0.73 % SZS status Theorem for GEO274+1
% 0.54/0.73 % SZS output start Proof for GEO274+1
% 0.54/0.73 (
% 0.54/0.73 (let ((_let_1 (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (=> (and (tptp.ron Vd315 Vd320) (tptp.ron Vd315 Vd319) (tptp.ron Vd314 Vd320) (tptp.ron Vd314 Vd319) (exists ((Vd324 $$unsorted)) (and (= Vd320 Vd324) (tptp.rline Vd324))) (exists ((Vd323 $$unsorted)) (and (= Vd319 Vd323) (tptp.rline Vd323))) (not (= Vd314 Vd315)) (exists ((Vd318 $$unsorted)) (and (= Vd315 Vd318) (tptp.rpoint Vd318))) (exists ((Vd317 $$unsorted)) (and (= Vd314 Vd317) (tptp.rpoint Vd317)))) (= Vd319 Vd320))))) (let ((_let_2 (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (=> (and (exists ((Vd752 $$unsorted)) (and (= Vd749 Vd752) (tptp.rpoint Vd752))) (exists ((Vd751 $$unsorted)) (and (= Vd748 Vd751) (tptp.rpoint Vd751)))) (= (= (tptp.vf Vd748 Vd749) tptp.v0) (= Vd748 Vd749)))))) (let ((_let_3 (exists ((Vd1083 $$unsorted)) (and (= tptp.vd1080 Vd1083) (tptp.rpoint Vd1083))))) (let ((_let_4 (tptp.rpoint tptp.vd1086))) (let ((_let_5 (not (= tptp.vd1085 tptp.vd1080)))) (let ((_let_6 (= tptp.vd1085 tptp.vd1086))) (let ((_let_7 (tptp.rpoint tptp.vd1089))) (let ((_let_8 (tptp.vf tptp.vd1089 tptp.vd1080))) (let ((_let_9 (tptp.vf tptp.vd1089 tptp.vd1085))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.rline tptp.vd1092))) (let ((_let_12 (tptp.ron tptp.vd1080 tptp.vd1092))) (let ((_let_13 (tptp.ron tptp.vd1089 tptp.vd1092))) (let ((_let_14 (and _let_13 _let_12 _let_11))) (let ((_let_15 (not (forall ((Vdthex $$unsorted)) (=> (and (tptp.ron tptp.vd1089 Vdthex) (tptp.ron tptp.vd1080 Vdthex) (tptp.rline Vdthex)) (= Vdthex tptp.vd1092)))))) (let ((_let_16 (= _let_9 tptp.v0))) (let ((_let_17 (= tptp.vd1089 tptp.vd1085))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (not _let_7))) (let ((_let_20 (tptp.rpoint tptp.vd1085))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18))) (let ((_let_23 (forall ((Vd748 $$unsorted) (Vd749 $$unsorted)) (or (not (tptp.rpoint Vd749)) (not (tptp.rpoint Vd748)) (= (= Vd748 Vd749) (= tptp.v0 (tptp.vf Vd748 Vd749))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((tptp.vf Vd748 Vd749)))) (let ((_let_27 (ASSUME :args (_let_4)))) (let ((_let_28 (ASSUME :args (_let_6)))) (let ((_let_29 (and _let_6 _let_4))) (let ((_let_30 (ASSUME :args (_let_7)))) (let ((_let_31 (= tptp.vd1089 tptp.vd1080))) (let ((_let_32 (= tptp.vd1080 tptp.vd1085))) (let ((_let_33 (not _let_17))) (let ((_let_34 (= tptp.vd1092 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (tptp.rpoint tptp.vd1080))) (let ((_let_36 (not _let_35))) (let ((_let_37 (not _let_11))) (let ((_let_38 (tptp.rline SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_12))) (let ((_let_41 (tptp.ron tptp.vd1080 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_13))) (let ((_let_44 (tptp.ron tptp.vd1089 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_42 _let_40 _let_39 _let_37 _let_31 _let_19 _let_36 _let_34))) (let ((_let_47 (forall ((Vd314 $$unsorted) (Vd315 $$unsorted) (Vd319 $$unsorted) (Vd320 $$unsorted)) (or (not (tptp.ron Vd315 Vd320)) (not (tptp.ron Vd315 Vd319)) (not (tptp.ron Vd314 Vd320)) (not (tptp.ron Vd314 Vd319)) (not (tptp.rline Vd320)) (not (tptp.rline Vd319)) (= Vd314 Vd315) (not (tptp.rpoint Vd315)) (not (tptp.rpoint Vd314)) (= Vd319 Vd320))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or _let_45 _let_42 _let_39 _let_34))) (let ((_let_50 (forall ((Vdthex $$unsorted)) (or (not (tptp.ron tptp.vd1089 Vdthex)) (not (tptp.ron tptp.vd1080 Vdthex)) (not (tptp.rline Vdthex)) (= tptp.vd1092 Vdthex))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (or))) (let ((_let_54 (not _let_50))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args (_let_54))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_50))) (REFL :args (_let_51)) :args _let_53)) _let_52 :args (_let_51 true _let_50)))) (let ((_let_56 (REFL :args (_let_49)))) (let ((_let_57 (ASSUME :args (_let_14)))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_36 _let_43 _let_40 _let_37 _let_19 _let_45 _let_42 _let_39 _let_34 _let_31 (not _let_46)))) _let_58 (AND_ELIM _let_57 :args (0)) (AND_ELIM _let_57 :args (1)) (AND_ELIM _let_57 :args (2)) _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_53)) :args ((or _let_44 _let_49))) _let_55 :args (_let_44 true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 1)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_53)) :args ((or _let_41 _let_49))) _let_55 :args (_let_41 true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 2)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_53)) :args ((or _let_38 _let_49))) _let_55 :args (_let_38 true _let_49)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 3)) _let_55 :args ((not _let_34) true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.vd1080 tptp.vd1089 tptp.vd1092 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.ron Vd315 Vd319) false)) (not (= (tptp.ron Vd314 Vd320) false))))) :args (_let_47)))) _let_48 :args (_let_46 false _let_47)) :args (_let_31 false _let_35 false _let_13 false _let_12 false _let_11 false _let_7 false _let_44 false _let_41 false _let_38 true _let_34 false _let_46)))) (let ((_let_60 (SYMM (ASSUME :args (_let_5))))) (let ((_let_61 (not _let_31))) (let ((_let_62 (not _let_32))) (let ((_let_63 (and _let_62 _let_31))) (let ((_let_64 (ASSUME :args (_let_31)))) (let ((_let_65 (= _let_8 tptp.v0))) (let ((_let_66 (= _let_8 _let_9))) (let ((_let_67 (= _let_31 _let_65))) (let ((_let_68 (or _let_36 _let_19 _let_67))) (let ((_let_69 (SYMM (ASSUME :args (_let_10))))) (let ((_let_70 (and _let_66 _let_65))) (let ((_let_71 (ASSUME :args (_let_65)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_18)) :args ((or _let_17 (not _let_16) (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_69) (SCOPE (TRANS (SYMM _let_69) (SYMM (SYMM _let_71))) :args (_let_65 _let_66))) :args (_let_66 _let_65))) :args (true _let_70)) :args ((or (not _let_66) _let_16 (not _let_65)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_65 _let_61 (not _let_67)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_36 _let_19 _let_67 (not _let_68)))) _let_58 _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.vd1089 tptp.vd1080 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25))) _let_24 :args (_let_68 false _let_23)) :args (_let_67 false _let_35 false _let_7 false _let_68)) :args (_let_65 false _let_31 false _let_67)) :args (_let_16 false _let_66 false _let_65)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_60) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_64)) (REFL :args (tptp.vd1085)) :args (=)) (FALSE_INTRO _let_60))) :args (_let_31 _let_62))) :args (_let_62 _let_31))) :args (true _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_32))) (REFL :args (_let_61)) (REFL :args (_let_33)) :args _let_53)) _let_60 _let_59 :args (_let_33 true _let_32 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_19 _let_21 _let_18 (not _let_22)))) _let_30 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_29)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_28) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_28)) :args (APPLY_UF tptp.rpoint)) (TRUE_INTRO _let_27))) :args (_let_4 _let_6))) :args (_let_6 _let_4))) :args (true _let_29)) _let_28 _let_27 :args (_let_20 false _let_6 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.vd1089 tptp.vd1085 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25))) _let_24 :args (_let_22 false _let_23)) :args (_let_18 false _let_7 false _let_20 false _let_22)) :args (false false _let_16 true _let_17 false _let_18)) :args (_let_15 _let_14 (= _let_8 (tptp.vf tptp.vd1085 tptp.vd1080)) _let_10 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((Vd761 $$unsorted) (Vd762 $$unsorted)) (=> (and (exists ((Vd765 $$unsorted)) (and (= Vd762 Vd765) (tptp.rpoint Vd765))) (exists ((Vd764 $$unsorted)) (and (= Vd761 Vd764) (tptp.rpoint Vd764)))) (= (tptp.vf Vd761 Vd762) (tptp.vf Vd762 Vd761)))) _let_2 (forall ((Vd217 $$unsorted) (Vd218 $$unsorted)) (=> (and (not (= Vd217 Vd218)) (exists ((Vd221 $$unsorted)) (and (= Vd218 Vd221) (tptp.rpoint Vd221))) (exists ((Vd220 $$unsorted)) (and (= Vd217 Vd220) (tptp.rpoint Vd220)))) (exists ((Vd223 $$unsorted)) (and (tptp.ron Vd218 Vd223) (tptp.ron Vd217 Vd223) (tptp.rline Vd223))))) (not (= tptp.vd1085 tptp.vd1081)) (not (= tptp.vd1080 tptp.vd1081)) (exists ((Vd1084 $$unsorted)) (and (= tptp.vd1081 Vd1084) (tptp.rpoint Vd1084))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (let ((_let_1 (tptp.vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))) (=> (and (= Vd1049 Vd1050) (not (= Vd1047 Vd1049)) (tptp.rpoint Vd1050) (= Vd1047 Vd1048) (tptp.rpoint Vd1048)) (= (tptp.vf Vd1049 _let_1) (tptp.vf _let_1 Vd1047))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1049 Vd1050) (not (= Vd1047 Vd1049)) (tptp.rpoint Vd1050) (= Vd1047 Vd1048) (tptp.rpoint Vd1048)) (= (tptp.vf Vd1047 Vd1049) (tptp.vf Vd1049 (tptp.vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050))))) (forall ((Vd1047 $$unsorted) (Vd1048 $$unsorted) (Vd1049 $$unsorted) (Vd1050 $$unsorted)) (=> (and (= Vd1049 Vd1050) (not (= Vd1047 Vd1049)) (tptp.rpoint Vd1050) (= Vd1047 Vd1048) (tptp.rpoint Vd1048)) (tptp.rpoint (tptp.vskolem1052 Vd1047 Vd1048 Vd1049 Vd1050)))) (forall ((Vd755 $$unsorted) (Vd756 $$unsorted)) (=> (and (exists ((Vd759 $$unsorted)) (and (= Vd756 Vd759) (tptp.rpoint Vd759))) (exists ((Vd758 $$unsorted)) (and (= Vd755 Vd758) (tptp.rpoint Vd758)))) (tptp.rleq tptp.v0 (tptp.vf Vd755 Vd756)))) (forall ((Vd741 $$unsorted) (Vd742 $$unsorted)) (=> (and (exists ((Vd745 $$unsorted)) (and (= Vd742 Vd745) (tptp.rpoint Vd745))) (exists ((Vd744 $$unsorted)) (and (= Vd741 Vd744) (tptp.rpoint Vd744)))) (exists ((Vd747 $$unsorted)) (and (= (tptp.vf Vd741 Vd742) Vd747) (tptp.rreal Vd747))))) (forall ((Vd733 $$unsorted) (Vd734 $$unsorted) (Vd735 $$unsorted) (Vd736 $$unsorted) (Vd737 $$unsorted) (Vd738 $$unsorted)) (=> (and (= (tptp.vplus Vd733 Vd737) (tptp.vplus Vd735 Vd737)) (= Vd737 Vd738) (tptp.rreal Vd738) (= Vd735 Vd736) (tptp.rreal Vd736) (= Vd733 Vd734) (tptp.rreal Vd734)) (= Vd733 Vd735))) (forall ((Vd340 $$unsorted) (Vd341 $$unsorted) (Vd342 $$unsorted)) (=> (and (tptp.rR Vd341 Vd340 Vd342) (exists ((Vd346 $$unsorted)) (and (= Vd342 Vd346) (tptp.rpoint Vd346))) (exists ((Vd345 $$unsorted)) (and (= Vd341 Vd345) (tptp.rpoint Vd345))) (exists ((Vd344 $$unsorted)) (and (= Vd340 Vd344) (tptp.rpoint Vd344)))) (and (not (tptp.rR Vd340 Vd341 Vd342)) (not (= Vd340 Vd342)) (not (= Vd340 Vd341)) (tptp.rR Vd341 Vd342 Vd340)))) (forall ((Vd263 $$unsorted) (Vd264 $$unsorted) (Vd265 $$unsorted) (Vd266 $$unsorted) (Vd267 $$unsorted) (Vd268 $$unsorted) (Vd269 $$unsorted) (Vd270 $$unsorted)) (=> (and (not (= Vd269 Vd267)) (tptp.ron Vd269 Vd265) (= Vd269 Vd270) (tptp.rpoint Vd270) (tptp.ron Vd267 Vd265) (tptp.rinside Vd267 Vd263) (= Vd267 Vd268) (tptp.rpoint Vd268) (= Vd265 Vd266) (tptp.rline Vd266) (= Vd263 Vd264) (tptp.rcircle Vd264)) (exists ((Vd272 $$unsorted)) (and (tptp.rR Vd267 Vd272 Vd269) (tptp.ron Vd272 Vd265) (tptp.ron Vd272 Vd263) (tptp.rpoint Vd272))))) (forall ((Vd214 $$unsorted) (Vd215 $$unsorted)) (=> (and (= Vd214 Vd215) (tptp.rcircle Vd215)) (exists ((Vd216 $$unsorted)) (and (not (tptp.ron Vd216 Vd214)) (not (tptp.rinside Vd216 Vd214)) (tptp.rpoint Vd216))))) (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 (= Vd1027 Vd1028) (forall ((Vd1031 $$unsorted) (Vd1032 $$unsorted) (Vd1033 $$unsorted)) (=> (and (tptp.rS Vd1033 Vd1001 Vd1027) (not (tptp.rR Vd999 Vd1032 Vd1000)) (tptp.ron Vd1032 Vd1027) (= (tptp.vf Vd992 Vd994) (tptp.vf Vd1031 Vd1033)) (= (tptp.vf Vd993 Vd994) (tptp.vf Vd1032 Vd1033)) (= (tptp.vf Vd992 Vd993) (tptp.vf Vd1031 Vd1032)) (= (tptp.vangle Vd1031 Vd1033 Vd1032) (tptp.vangle Vd992 Vd994 Vd993)) (= (tptp.vangle Vd1032 Vd1031 Vd1033) (tptp.vangle Vd993 Vd992 Vd994)) (= (tptp.vangle Vd1033 Vd1032 Vd1031) (tptp.vangle Vd994 Vd993 Vd992)) (= Vd1031 Vd999) (tptp.rpoint Vd1033) (tptp.rpoint Vd1032) (tptp.rpoint Vd1031)) (and (= (tptp.vangle Vd1010 Vd1011 Vd1012) (tptp.vangle Vd1013 Vd1014 Vd1015)) (= (tptp.vf Vd1006 Vd1007) (tptp.vf Vd1008 Vd1009))))) (not (tptp.ron Vd1001 Vd1027)) (tptp.ron Vd1000 Vd1027) (tptp.ron Vd999 Vd1027) (tptp.rline Vd1028) (exists ((Vd1026 $$unsorted)) (and (= Vd1015 Vd1026) (tptp.rpoint Vd1026))) (exists ((Vd1025 $$unsorted)) (and (= Vd1014 Vd1025) (tptp.rpoint Vd1025))) (exists ((Vd1024 $$unsorted)) (and (= Vd1013 Vd1024) (tptp.rpoint Vd1024))) (exists ((Vd1023 $$unsorted)) (and (= Vd1012 Vd1023) (tptp.rpoint Vd1023))) (exists ((Vd1022 $$unsorted)) (and (= Vd1011 Vd1022) (tptp.rpoint Vd1022))) (exists ((Vd1021 $$unsorted)) (and (= Vd1010 Vd1021) (tptp.rpoint Vd1021))) (exists ((Vd1020 $$unsorted)) (and (= Vd1009 Vd1020) (tptp.rpoint Vd1020))) (exists ((Vd1019 $$unsorted)) (and (= Vd1008 Vd1019) (tptp.rpoint Vd1019))) (exists ((Vd1018 $$unsorted)) (and (= Vd1007 Vd1018) (tptp.rpoint Vd1018))) (exists ((Vd1017 $$unsorted)) (and (= Vd1006 Vd1017) (tptp.rpoint Vd1017))) (exists ((Vd1005 $$unsorted)) (and (= Vd1001 Vd1005) (tptp.rpoint Vd1005))) (exists ((Vd1004 $$unsorted)) (and (= Vd1000 Vd1004) (tptp.rpoint Vd1004))) (exists ((Vd1003 $$unsorted)) (and (= Vd999 Vd1003) (tptp.rpoint Vd1003))) (not (= Vd993 Vd994)) (not (= Vd992 Vd994)) (not (= Vd992 Vd993)) (exists ((Vd998 $$unsorted)) (and (= Vd994 Vd998) (tptp.rpoint Vd998))) (exists ((Vd997 $$unsorted)) (and (= Vd993 Vd997) (tptp.rpoint Vd997))) (exists ((Vd996 $$unsorted)) (and (= Vd992 Vd996) (tptp.rpoint Vd996)))) (and (= (tptp.vangle Vd1010 Vd1011 Vd1012) (tptp.vangle Vd1013 Vd1014 Vd1015)) (= (tptp.vf Vd1006 Vd1007) (tptp.vf Vd1008 Vd1009))))) (forall ((Vd725 $$unsorted) (Vd726 $$unsorted) (Vd727 $$unsorted) (Vd728 $$unsorted) (Vd729 $$unsorted) (Vd730 $$unsorted)) (=> (and (tptp.rless Vd725 Vd727) (= Vd729 Vd730) (tptp.rreal Vd730) (= Vd727 Vd728) (tptp.rreal Vd728) (= Vd725 Vd726) (tptp.rreal Vd726)) (tptp.rless (tptp.vplus Vd725 Vd729) (tptp.vplus Vd727 Vd729)))) (forall ((Vd716 $$unsorted) (Vd717 $$unsorted) (Vd718 $$unsorted) (Vd719 $$unsorted) (Vd720 $$unsorted) (Vd721 $$unsorted)) (=> (and (tptp.rless Vd718 Vd720) (tptp.rless Vd716 Vd718) (= Vd720 Vd721) (tptp.rreal Vd721) (= Vd718 Vd719) (tptp.rreal Vd719) (= Vd716 Vd717) (tptp.rreal Vd717)) (tptp.rless Vd716 Vd720))) (forall ((Vd713 $$unsorted) (Vd714 $$unsorted)) (=> (and (= Vd713 Vd714) (tptp.rreal Vd714)) (not (tptp.rless Vd713 Vd713)))) (forall ((Vd706 $$unsorted) (Vd707 $$unsorted) (Vd708 $$unsorted) (Vd709 $$unsorted)) (=> (and (tptp.rless Vd706 Vd708) (= Vd708 Vd709) (tptp.rreal Vd709) (= Vd706 Vd707) (tptp.rreal Vd707)) (or (not (tptp.rless Vd708 Vd706)) (= Vd706 Vd708)))) (forall ((Vd699 $$unsorted) (Vd700 $$unsorted) (Vd701 $$unsorted) (Vd702 $$unsorted)) (=> (and (= Vd701 Vd702) (tptp.rreal Vd702) (= Vd699 Vd700) (tptp.rreal Vd700)) (or (tptp.rless Vd699 Vd701) (= Vd699 Vd701) (tptp.rless Vd701 Vd699)))) (forall ((Vd694 $$unsorted) (Vd695 $$unsorted) (Vd696 $$unsorted) (Vd697 $$unsorted)) (=> (and (= Vd696 Vd697) (tptp.rreal Vd697) (= Vd694 Vd695) (tptp.rreal Vd695)) (= (tptp.vplus Vd694 Vd696) (tptp.vplus Vd696 Vd694)))) (forall ((Vd691 $$unsorted) (Vd692 $$unsorted)) (=> (and (= Vd691 Vd692) (tptp.rreal Vd692)) (= (tptp.vplus Vd691 tptp.v0) Vd691))) (forall ((Vd685 $$unsorted) (Vd686 $$unsorted) (Vd687 $$unsorted) (Vd688 $$unsorted)) (=> (and (= Vd687 Vd688) (tptp.rreal Vd688) (= Vd685 Vd686) (tptp.rreal Vd686)) (exists ((Vd690 $$unsorted)) (and (= (tptp.vplus Vd685 Vd687) Vd690) (tptp.rreal Vd690))))) (= tptp.v0 tptp.vd684) (tptp.rreal tptp.vd684) (forall ((Vd676 $$unsorted) (Vd677 $$unsorted) (Vd681 $$unsorted) (Vd682 $$unsorted)) (=> (and (tptp.ron Vd677 Vd682) (tptp.rinside Vd676 Vd682) (tptp.rinside Vd677 Vd681) (tptp.ron Vd676 Vd681) (exists ((Vd680 $$unsorted)) (and (= Vd677 Vd680) (tptp.rpoint Vd680))) (exists ((Vd679 $$unsorted)) (and (= Vd676 Vd679) (tptp.rpoint Vd679)))) (tptp.rintersect Vd681 Vd682))) (forall ((Vd666 $$unsorted) (Vd667 $$unsorted) (Vd671 $$unsorted) (Vd672 $$unsorted)) (=> (and (not (tptp.rinside Vd667 Vd672)) (not (tptp.ron Vd667 Vd672)) (tptp.rinside Vd666 Vd672) (or (tptp.ron Vd667 Vd671) (tptp.rinside Vd667 Vd671)) (tptp.ron Vd666 Vd671) (exists ((Vd675 $$unsorted)) (and (= Vd672 Vd675) (tptp.rcircle Vd675))) (exists ((Vd674 $$unsorted)) (and (= Vd671 Vd674) (tptp.rcircle Vd674))) (exists ((Vd670 $$unsorted)) (and (= Vd667 Vd670) (tptp.rpoint Vd670))) (exists ((Vd669 $$unsorted)) (and (= Vd666 Vd669) (tptp.rpoint Vd669)))) (tptp.rintersect Vd671 Vd672))) (forall ((Vd660 $$unsorted) (Vd661 $$unsorted) (Vd662 $$unsorted) (Vd663 $$unsorted) (Vd664 $$unsorted) (Vd665 $$unsorted)) (=> (and (tptp.ron Vd660 Vd664) (tptp.rinside Vd660 Vd662) (= Vd664 Vd665) (tptp.rline Vd665) (= Vd662 Vd663) (tptp.rcircle Vd663) (= Vd660 Vd661) (tptp.rpoint Vd661)) (tptp.rintersect Vd664 Vd662))) (forall ((Vd647 $$unsorted) (Vd648 $$unsorted) (Vd652 $$unsorted) (Vd653 $$unsorted)) (=> (and (not (exists ((Vd657 $$unsorted)) (tptp.rS Vd647 Vd648 Vd657))) (or (tptp.ron Vd648 Vd652) (tptp.rinside Vd648 Vd652)) (or (tptp.ron Vd647 Vd652) (tptp.rinside Vd647 Vd652)) (exists ((Vd656 $$unsorted)) (and (= Vd653 Vd656) (tptp.rcircle Vd656))) (exists ((Vd655 $$unsorted)) (and (= Vd652 Vd655) (tptp.rcircle Vd655))) (exists ((Vd651 $$unsorted)) (and (= Vd648 Vd651) (tptp.rpoint Vd651))) (exists ((Vd650 $$unsorted)) (and (= Vd647 Vd650) (tptp.rpoint Vd650)))) (exists ((Vd659 $$unsorted)) (tptp.rintersect Vd659 Vd652)))) (forall ((Vd636 $$unsorted) (Vd637 $$unsorted) (Vd641 $$unsorted) (Vd642 $$unsorted) (Vd644 $$unsorted) (Vd645 $$unsorted)) (=> (and (= Vd641 Vd642) (= Vd644 Vd645) (tptp.ron Vd637 Vd644) (tptp.ron Vd636 Vd644) (tptp.rline Vd645) (not (tptp.rS Vd636 Vd637 Vd641)) (tptp.rline Vd642) (exists ((Vd640 $$unsorted)) (and (= Vd637 Vd640) (tptp.rpoint Vd640))) (exists ((Vd639 $$unsorted)) (and (= Vd636 Vd639) (tptp.rpoint Vd639)))) (tptp.rintersect Vd641 Vd644))) (forall ((Vd616 $$unsorted) (Vd617 $$unsorted) (Vd622 $$unsorted) (Vd623 $$unsorted) (Vd630 $$unsorted) (Vd631 $$unsorted) (Vd632 $$unsorted) (Vd633 $$unsorted)) (=> (and (tptp.ron Vd631 Vd632) (tptp.ron Vd630 Vd632) (= Vd632 Vd633) (tptp.rline Vd633) (tptp.rcenter Vd631 Vd617) (tptp.rcenter Vd630 Vd616) (not (= Vd622 Vd623)) (tptp.ron Vd623 Vd617) (tptp.ron Vd623 Vd616) (tptp.ron Vd622 Vd617) (tptp.ron Vd622 Vd616) (exists ((Vd626 $$unsorted)) (and (= Vd623 Vd626) (tptp.rpoint Vd626))) (exists ((Vd625 $$unsorted)) (and (= Vd622 Vd625) (tptp.rpoint Vd625))) (tptp.rintersect Vd616 Vd617) (not (= Vd616 Vd617)) (exists ((Vd620 $$unsorted)) (and (= Vd617 Vd620) (tptp.rcircle Vd620))) (exists ((Vd619 $$unsorted)) (and (= Vd616 Vd619) (tptp.rcircle Vd619)))) (not (tptp.rS Vd622 Vd623 Vd632)))) (forall ((Vd606 $$unsorted) (Vd607 $$unsorted) (Vd608 $$unsorted) (Vd613 $$unsorted) (Vd614 $$unsorted)) (let ((_let_1 (not (tptp.ron Vd607 Vd613)))) (=> (and (tptp.rR Vd608 Vd606 Vd607) (not (tptp.rinside Vd608 Vd613)) (or (tptp.ron Vd606 Vd613) (tptp.rinside Vd606 Vd613)) (= Vd613 Vd614) (tptp.rcircle Vd614) (exists ((Vd612 $$unsorted)) (and (= Vd608 Vd612) (tptp.rpoint Vd612))) (exists ((Vd611 $$unsorted)) (and (= Vd607 Vd611) (tptp.rpoint Vd611))) (exists ((Vd610 $$unsorted)) (and (= Vd606 Vd610) (tptp.rpoint Vd610)))) (and _let_1 _let_1)))) (forall ((Vd594 $$unsorted) (Vd595 $$unsorted) (Vd596 $$unsorted) (Vd601 $$unsorted) (Vd602 $$unsorted) (Vd603 $$unsorted) (Vd604 $$unsorted)) (=> (and (tptp.rR Vd596 Vd594 Vd595) (or (tptp.ron Vd595 Vd603) (tptp.rinside Vd595 Vd603)) (or (tptp.ron Vd594 Vd603) (tptp.rinside Vd594 Vd603)) (= Vd603 Vd604) (tptp.rcircle Vd604) (= Vd601 Vd602) (tptp.rline Vd602) (exists ((Vd600 $$unsorted)) (and (= Vd596 Vd600) (tptp.rpoint Vd600))) (exists ((Vd599 $$unsorted)) (and (= Vd595 Vd599) (tptp.rpoint Vd599))) (exists ((Vd598 $$unsorted)) (and (= Vd594 Vd598) (tptp.rpoint Vd598)))) (tptp.rinside Vd596 Vd603))) (forall ((Vd581 $$unsorted) (Vd582 $$unsorted) (Vd583 $$unsorted) (Vd588 $$unsorted) (Vd589 $$unsorted) (Vd590 $$unsorted) (Vd591 $$unsorted)) (=> (and (not (= Vd582 Vd583)) (tptp.ron Vd583 Vd590) (tptp.ron Vd582 Vd590) (tptp.rinside Vd581 Vd590) (tptp.ron Vd583 Vd588) (tptp.ron Vd582 Vd588) (tptp.ron Vd581 Vd588) (= Vd590 Vd591) (tptp.rcircle Vd591) (= Vd588 Vd589) (tptp.rline Vd589) (exists ((Vd587 $$unsorted)) (and (= Vd583 Vd587) (tptp.rpoint Vd587))) (exists ((Vd586 $$unsorted)) (and (= Vd582 Vd586) (tptp.rpoint Vd586))) (exists ((Vd585 $$unsorted)) (and (= Vd581 Vd585) (tptp.rpoint Vd585)))) (tptp.rR Vd581 Vd582 Vd583))) (forall ((Vd558 $$unsorted) (Vd559 $$unsorted) (Vd560 $$unsorted) (Vd565 $$unsorted) (Vd566 $$unsorted) (Vd567 $$unsorted) (Vd568 $$unsorted) (Vd577 $$unsorted)) (=> (and (tptp.rS Vd567 Vd577 Vd560) (tptp.rS Vd568 Vd577 Vd559) (tptp.rS Vd566 Vd567 Vd560) (tptp.rS Vd567 Vd568 Vd558) (tptp.ron Vd568 Vd560) (tptp.ron Vd567 Vd559) (tptp.ron Vd566 Vd558) (tptp.ron Vd565 Vd560) (tptp.ron Vd565 Vd559) (tptp.ron Vd565 Vd558) (exists ((Vd573 $$unsorted)) (and (= Vd568 Vd573) (tptp.rpoint Vd573))) (exists ((Vd572 $$unsorted)) (and (= Vd567 Vd572) (tptp.rpoint Vd572))) (exists ((Vd571 $$unsorted)) (and (= Vd566 Vd571) (tptp.rpoint Vd571))) (exists ((Vd570 $$unsorted)) (and (= Vd565 Vd570) (tptp.rpoint Vd570))) (exists ((Vd564 $$unsorted)) (and (= Vd560 Vd564) (tptp.rline Vd564))) (exists ((Vd563 $$unsorted)) (and (= Vd559 Vd563) (tptp.rline Vd563))) (exists ((Vd562 $$unsorted)) (and (= Vd558 Vd562) (tptp.rline Vd562)))) (tptp.rS Vd567 Vd577 Vd558))) (forall ((Vd537 $$unsorted) (Vd538 $$unsorted) (Vd539 $$unsorted) (Vd544 $$unsorted) (Vd545 $$unsorted) (Vd546 $$unsorted) (Vd547 $$unsorted)) (=> (and (not (= Vd545 Vd544)) (not (tptp.ron Vd547 Vd538)) (not (tptp.rS Vd545 Vd547 Vd538)) (tptp.rS Vd546 Vd547 Vd537) (tptp.ron Vd547 Vd539) (tptp.ron Vd546 Vd538) (tptp.ron Vd545 Vd537) (tptp.ron Vd544 Vd539) (tptp.ron Vd544 Vd538) (tptp.ron Vd544 Vd537) (exists ((Vd552 $$unsorted)) (and (= Vd547 Vd552) (tptp.rpoint Vd552))) (exists ((Vd551 $$unsorted)) (and (= Vd546 Vd551) (tptp.rpoint Vd551))) (exists ((Vd550 $$unsorted)) (and (= Vd545 Vd550) (tptp.rpoint Vd550))) (exists ((Vd549 $$unsorted)) (and (= Vd544 Vd549) (tptp.rpoint Vd549))) (exists ((Vd543 $$unsorted)) (and (= Vd539 Vd543) (tptp.rline Vd543))) (exists ((Vd542 $$unsorted)) (and (= Vd538 Vd542) (tptp.rline Vd542))) (exists ((Vd541 $$unsorted)) (and (= Vd537 Vd541) (tptp.rline Vd541)))) (tptp.rS Vd545 Vd546 Vd539))) (forall ((Vd516 $$unsorted) (Vd517 $$unsorted) (Vd518 $$unsorted) (Vd523 $$unsorted) (Vd524 $$unsorted) (Vd525 $$unsorted) (Vd526 $$unsorted)) (=> (and (tptp.rS Vd524 Vd525 Vd518) (tptp.rS Vd525 Vd526 Vd516) (tptp.ron Vd526 Vd518) (tptp.ron Vd525 Vd518) (tptp.ron Vd524 Vd516) (tptp.ron Vd523 Vd518) (tptp.ron Vd523 Vd517) (tptp.ron Vd523 Vd516) (exists ((Vd531 $$unsorted)) (and (= Vd526 Vd531) (tptp.rpoint Vd531))) (exists ((Vd530 $$unsorted)) (and (= Vd525 Vd530) (tptp.rpoint Vd530))) (exists ((Vd529 $$unsorted)) (and (= Vd524 Vd529) (tptp.rpoint Vd529))) (exists ((Vd528 $$unsorted)) (and (= Vd523 Vd528) (tptp.rpoint Vd528))) (exists ((Vd522 $$unsorted)) (and (= Vd518 Vd522) (tptp.rline Vd522))) (exists ((Vd521 $$unsorted)) (and (= Vd517 Vd521) (tptp.rline Vd521))) (exists ((Vd520 $$unsorted)) (and (= Vd516 Vd520) (tptp.rline Vd520)))) (not (tptp.rS Vd524 Vd526 Vd517)))) (forall ((Vd500 $$unsorted) (Vd501 $$unsorted) (Vd502 $$unsorted) (Vd507 $$unsorted) (Vd508 $$unsorted)) (=> (and (tptp.ron Vd501 Vd507) (tptp.ron Vd501 Vd508) (not (tptp.rS Vd500 Vd502 Vd507)) (tptp.ron Vd502 Vd508) (tptp.ron Vd500 Vd508) (not (= Vd507 Vd508)) (exists ((Vd511 $$unsorted)) (and (= Vd508 Vd511) (tptp.rline Vd511))) (exists ((Vd510 $$unsorted)) (and (= Vd507 Vd510) (tptp.rline Vd510))) (not (= Vd501 Vd502)) (not (= Vd500 Vd502)) (not (= Vd500 Vd501)) (exists ((Vd506 $$unsorted)) (and (= Vd502 Vd506) (tptp.rpoint Vd506))) (exists ((Vd505 $$unsorted)) (and (= Vd501 Vd505) (tptp.rpoint Vd505))) (exists ((Vd504 $$unsorted)) (and (= Vd500 Vd504) (tptp.rpoint Vd504)))) (tptp.rR Vd501 Vd500 Vd502))) (forall ((Vd489 $$unsorted) (Vd490 $$unsorted) (Vd491 $$unsorted) (Vd496 $$unsorted) (Vd497 $$unsorted)) (=> (and (tptp.ron Vd490 Vd496) (tptp.rR Vd490 Vd489 Vd491) (= Vd496 Vd497) (tptp.rline Vd497) (exists ((Vd495 $$unsorted)) (and (= Vd491 Vd495) (tptp.rpoint Vd495))) (exists ((Vd494 $$unsorted)) (and (= Vd490 Vd494) (tptp.rpoint Vd494))) (exists ((Vd493 $$unsorted)) (and (= Vd489 Vd493) (tptp.rpoint Vd493)))) (not (tptp.rS Vd489 Vd491 Vd496)))) (forall ((Vd478 $$unsorted) (Vd479 $$unsorted) (Vd480 $$unsorted) (Vd485 $$unsorted) (Vd486 $$unsorted)) (=> (and (not (tptp.ron Vd479 Vd485)) (tptp.ron Vd478 Vd485) (tptp.rR Vd479 Vd478 Vd480) (= Vd485 Vd486) (tptp.rline Vd486) (exists ((Vd484 $$unsorted)) (and (= Vd480 Vd484) (tptp.rpoint Vd484))) (exists ((Vd483 $$unsorted)) (and (= Vd479 Vd483) (tptp.rpoint Vd483))) (exists ((Vd482 $$unsorted)) (and (= Vd478 Vd482) (tptp.rpoint Vd482)))) (tptp.rS Vd479 Vd480 Vd485))) (forall ((Vd466 $$unsorted) (Vd467 $$unsorted) (Vd468 $$unsorted) (Vd473 $$unsorted) (Vd474 $$unsorted)) (=> (and (tptp.rS Vd466 Vd468 Vd473) (tptp.rR Vd467 Vd466 Vd468) (= Vd473 Vd474) (tptp.rline Vd474) (exists ((Vd472 $$unsorted)) (and (= Vd468 Vd472) (tptp.rpoint Vd472))) (exists ((Vd471 $$unsorted)) (and (= Vd467 Vd471) (tptp.rpoint Vd471))) (exists ((Vd470 $$unsorted)) (and (= Vd466 Vd470) (tptp.rpoint Vd470)))) (tptp.rS Vd466 Vd467 Vd473))) (forall ((Vd454 $$unsorted) (Vd455 $$unsorted) (Vd456 $$unsorted) (Vd461 $$unsorted) (Vd462 $$unsorted)) (=> (and (not (tptp.rS Vd454 Vd455 Vd461)) (not (tptp.ron Vd456 Vd461)) (not (tptp.ron Vd455 Vd461)) (not (tptp.ron Vd454 Vd461)) (= Vd461 Vd462) (tptp.rline Vd462) (exists ((Vd460 $$unsorted)) (and (= Vd456 Vd460) (tptp.rpoint Vd460))) (exists ((Vd459 $$unsorted)) (and (= Vd455 Vd459) (tptp.rpoint Vd459))) (exists ((Vd458 $$unsorted)) (and (= Vd454 Vd458) (tptp.rpoint Vd458)))) (or (tptp.rS Vd454 Vd456 Vd461) (tptp.rS Vd455 Vd456 Vd461)))) (forall ((Vd442 $$unsorted) (Vd443 $$unsorted) (Vd444 $$unsorted) (Vd449 $$unsorted) (Vd450 $$unsorted)) (=> (and (tptp.rS Vd442 Vd444 Vd449) (tptp.rS Vd442 Vd443 Vd449) (= Vd449 Vd450) (tptp.rline Vd450) (exists ((Vd448 $$unsorted)) (and (= Vd444 Vd448) (tptp.rpoint Vd448))) (exists ((Vd447 $$unsorted)) (and (= Vd443 Vd447) (tptp.rpoint Vd447))) (exists ((Vd446 $$unsorted)) (and (= Vd442 Vd446) (tptp.rpoint Vd446)))) (tptp.rS Vd443 Vd444 Vd449))) (forall ((Vd434 $$unsorted) (Vd435 $$unsorted) (Vd439 $$unsorted) (Vd440 $$unsorted)) (=> (and (tptp.rS Vd434 Vd435 Vd439) (= Vd439 Vd440) (tptp.rline Vd440) (exists ((Vd438 $$unsorted)) (and (= Vd435 Vd438) (tptp.rpoint Vd438))) (exists ((Vd437 $$unsorted)) (and (= Vd434 Vd437) (tptp.rpoint Vd437)))) (not (tptp.ron Vd434 Vd439)))) (forall ((Vd425 $$unsorted) (Vd426 $$unsorted) (Vd430 $$unsorted) (Vd431 $$unsorted)) (=> (and (tptp.rS Vd425 Vd426 Vd430) (= Vd430 Vd431) (tptp.rline Vd431) (exists ((Vd429 $$unsorted)) (and (= Vd426 Vd429) (tptp.rpoint Vd429))) (exists ((Vd428 $$unsorted)) (and (= Vd425 Vd428) (tptp.rpoint Vd428)))) (tptp.rS Vd426 Vd425 Vd430))) (forall ((Vd420 $$unsorted) (Vd421 $$unsorted) (Vd422 $$unsorted) (Vd423 $$unsorted)) (=> (and (not (tptp.ron Vd420 Vd422)) (= Vd422 Vd423) (tptp.rline Vd423) (= Vd420 Vd421) (tptp.rpoint Vd421)) (tptp.rS Vd420 Vd420 Vd422))) (forall ((Vd408 $$unsorted) (Vd409 $$unsorted) (Vd410 $$unsorted) (Vd411 $$unsorted)) (=> (and (tptp.rR Vd409 Vd408 Vd411) (tptp.rR Vd409 Vd408 Vd410) (exists ((Vd416 $$unsorted)) (and (= Vd411 Vd416) (tptp.rpoint Vd416))) (exists ((Vd415 $$unsorted)) (and (= Vd410 Vd415) (tptp.rpoint Vd415))) (exists ((Vd414 $$unsorted)) (and (= Vd409 Vd414) (tptp.rpoint Vd414))) (exists ((Vd413 $$unsorted)) (and (= Vd408 Vd413) (tptp.rpoint Vd413)))) (not (tptp.rR Vd409 Vd410 Vd411)))) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted) (Vd398 $$unsorted) (Vd403 $$unsorted) (Vd404 $$unsorted)) (=> (and (= Vd403 Vd404) (tptp.ron Vd398 Vd403) (tptp.ron Vd397 Vd403) (tptp.ron Vd396 Vd403) (tptp.rline Vd404) (not (= Vd397 Vd398)) (not (= Vd396 Vd398)) (not (= Vd396 Vd397)) (exists ((Vd402 $$unsorted)) (and (= Vd398 Vd402) (tptp.rpoint Vd402))) (exists ((Vd401 $$unsorted)) (and (= Vd397 Vd401) (tptp.rpoint Vd401))) (exists ((Vd400 $$unsorted)) (and (= Vd396 Vd400) (tptp.rpoint Vd400)))) (or (tptp.rR Vd397 Vd396 Vd398) (tptp.rR Vd396 Vd397 Vd398) (tptp.rR Vd398 Vd396 Vd397)))) (forall ((Vd384 $$unsorted) (Vd385 $$unsorted) (Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (and (tptp.rR Vd386 Vd385 Vd387) (tptp.rR Vd385 Vd384 Vd386) (exists ((Vd392 $$unsorted)) (and (= Vd387 Vd392) (tptp.rpoint Vd392))) (exists ((Vd391 $$unsorted)) (and (= Vd386 Vd391) (tptp.rpoint Vd391))) (exists ((Vd390 $$unsorted)) (and (= Vd385 Vd390) (tptp.rpoint Vd390))) (exists ((Vd389 $$unsorted)) (and (= Vd384 Vd389) (tptp.rpoint Vd389)))) (tptp.rR Vd385 Vd384 Vd387))) (forall ((Vd372 $$unsorted) (Vd373 $$unsorted) (Vd374 $$unsorted) (Vd375 $$unsorted)) (=> (and (tptp.rR Vd375 Vd372 Vd373) (tptp.rR Vd373 Vd372 Vd374) (exists ((Vd380 $$unsorted)) (and (= Vd375 Vd380) (tptp.rpoint Vd380))) (exists ((Vd379 $$unsorted)) (and (= Vd374 Vd379) (tptp.rpoint Vd379))) (exists ((Vd378 $$unsorted)) (and (= Vd373 Vd378) (tptp.rpoint Vd378))) (exists ((Vd377 $$unsorted)) (and (= Vd372 Vd377) (tptp.rpoint Vd377)))) (tptp.rR Vd375 Vd372 Vd374))) (forall ((Vd362 $$unsorted) (Vd363 $$unsorted) (Vd364 $$unsorted) (Vd369 $$unsorted) (Vd370 $$unsorted)) (=> (and (= Vd369 Vd370) (tptp.ron Vd364 Vd369) (tptp.ron Vd362 Vd369) (tptp.rR Vd363 Vd362 Vd364) (tptp.rline Vd370) (exists ((Vd368 $$unsorted)) (and (= Vd364 Vd368) (tptp.rpoint Vd368))) (exists ((Vd367 $$unsorted)) (and (= Vd363 Vd367) (tptp.rpoint Vd367))) (exists ((Vd366 $$unsorted)) (and (= Vd362 Vd366) (tptp.rpoint Vd366)))) (tptp.ron Vd363 Vd369))) (forall ((Vd352 $$unsorted) (Vd353 $$unsorted) (Vd354 $$unsorted) (Vd359 $$unsorted) (Vd360 $$unsorted)) (=> (and (= Vd359 Vd360) (tptp.ron Vd353 Vd359) (tptp.ron Vd352 Vd359) (tptp.rR Vd353 Vd352 Vd354) (tptp.rline Vd360) (exists ((Vd358 $$unsorted)) (and (= Vd354 Vd358) (tptp.rpoint Vd358))) (exists ((Vd357 $$unsorted)) (and (= Vd353 Vd357) (tptp.rpoint Vd357))) (exists ((Vd356 $$unsorted)) (and (= Vd352 Vd356) (tptp.rpoint Vd356)))) (tptp.ron Vd354 Vd359))) (forall ((Vd336 $$unsorted) (Vd337 $$unsorted) (Vd338 $$unsorted) (Vd339 $$unsorted)) (=> (and (tptp.rinside Vd336 Vd338) (= Vd338 Vd339) (tptp.rcircle Vd339) (= Vd336 Vd337) (tptp.rpoint Vd337)) (not (tptp.ron Vd336 Vd338)))) (forall ((Vd334 $$unsorted) (Vd335 $$unsorted)) (=> (tptp.rcenter Vd334 Vd335) (tptp.rinside Vd334 Vd335))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd331 $$unsorted) (Vd332 $$unsorted)) (=> (and (tptp.rcenter Vd332 Vd328) (tptp.rcenter Vd331 Vd328) (= Vd328 Vd329) (tptp.rcircle Vd329)) (= Vd331 Vd332))) _let_1 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd306 $$unsorted) (Vd307 $$unsorted) (Vd308 $$unsorted) (Vd309 $$unsorted) (Vd311 $$unsorted)) (=> (and (not (tptp.ron Vd311 Vd306)) (tptp.ron Vd309 Vd306) (tptp.ron Vd308 Vd306) (tptp.rcenter Vd309 Vd302) (tptp.rcenter Vd308 Vd301) (tptp.rintersect Vd301 Vd302) (= Vd306 Vd307) (tptp.rline Vd307) (exists ((Vd305 $$unsorted)) (and (= Vd302 Vd305) (tptp.rcircle Vd305))) (exists ((Vd304 $$unsorted)) (and (= Vd301 Vd304) (tptp.rcircle Vd304)))) (exists ((Vd312 $$unsorted)) (and (not (tptp.rS Vd312 Vd311 Vd306)) (tptp.ron Vd312 Vd302) (tptp.ron Vd312 Vd301) (tptp.rpoint Vd312))))) (forall ((Vd288 $$unsorted) (Vd289 $$unsorted) (Vd293 $$unsorted) (Vd294 $$unsorted) (Vd295 $$unsorted) (Vd296 $$unsorted) (Vd298 $$unsorted)) (=> (and (not (tptp.ron Vd298 Vd293)) (tptp.ron Vd296 Vd293) (tptp.ron Vd295 Vd293) (tptp.rcenter Vd296 Vd289) (tptp.rcenter Vd295 Vd288) (tptp.rintersect Vd288 Vd289) (= Vd293 Vd294) (tptp.rline Vd294) (exists ((Vd292 $$unsorted)) (and (= Vd289 Vd292) (tptp.rcircle Vd292))) (exists ((Vd291 $$unsorted)) (and (= Vd288 Vd291) (tptp.rcircle Vd291)))) (exists ((Vd299 $$unsorted)) (and (tptp.rS Vd299 Vd298 Vd293) (tptp.ron Vd299 Vd289) (tptp.ron Vd299 Vd288) (tptp.rpoint Vd299))))) (forall ((Vd280 $$unsorted) (Vd281 $$unsorted)) (=> (and (tptp.rintersect Vd280 Vd281) (exists ((Vd284 $$unsorted)) (and (= Vd281 Vd284) (tptp.rcircle Vd284))) (exists ((Vd283 $$unsorted)) (and (= Vd280 Vd283) (tptp.rcircle Vd283)))) (exists ((Vd285 $$unsorted) (Vd286 $$unsorted)) (and (not (= Vd285 Vd286)) (tptp.ron Vd286 Vd281) (tptp.ron Vd286 Vd280) (tptp.rpoint Vd286) (tptp.ron Vd285 Vd281) (tptp.ron Vd285 Vd280) (tptp.rpoint Vd285))))) (forall ((Vd275 $$unsorted) (Vd276 $$unsorted) (Vd277 $$unsorted) (Vd278 $$unsorted)) (=> (and (tptp.rintersect Vd275 Vd277) (= Vd277 Vd278) (tptp.rcircle Vd278) (= Vd275 Vd276) (tptp.rcircle Vd276)) (exists ((Vd279 $$unsorted)) (and (tptp.ron Vd279 Vd277) (tptp.ron Vd279 Vd275) (tptp.rpoint Vd279))))) (forall ((Vd253 $$unsorted) (Vd254 $$unsorted) (Vd255 $$unsorted) (Vd256 $$unsorted) (Vd257 $$unsorted) (Vd258 $$unsorted) (Vd259 $$unsorted) (Vd260 $$unsorted)) (=> (and (tptp.ron Vd259 Vd255) (not (tptp.ron Vd259 Vd253)) (not (tptp.rinside Vd259 Vd253)) (= Vd259 Vd260) (tptp.rpoint Vd260) (tptp.ron Vd257 Vd255) (tptp.rinside Vd257 Vd253) (= Vd257 Vd258) (tptp.rpoint Vd258) (= Vd255 Vd256) (tptp.rline Vd256) (= Vd253 Vd254) (tptp.rcircle Vd254)) (exists ((Vd261 $$unsorted)) (and (tptp.rR Vd261 Vd257 Vd259) (tptp.ron Vd261 Vd253) (tptp.ron Vd261 Vd255) (tptp.rpoint Vd261))))) (forall ((Vd244 $$unsorted) (Vd245 $$unsorted) (Vd246 $$unsorted) (Vd247 $$unsorted)) (=> (and (tptp.rintersect Vd246 Vd244) (= Vd246 Vd247) (tptp.rline Vd247) (= Vd244 Vd245) (tptp.rcircle Vd245)) (exists ((Vd248 $$unsorted) (Vd250 $$unsorted)) (and (not (= Vd248 Vd250)) (tptp.ron Vd250 Vd244) (tptp.ron Vd250 Vd246) (tptp.rpoint Vd250) (tptp.ron Vd248 Vd244) (tptp.ron Vd248 Vd246) (tptp.rpoint Vd248))))) (forall ((Vd238 $$unsorted) (Vd239 $$unsorted) (Vd240 $$unsorted) (Vd241 $$unsorted)) (=> (and (tptp.rintersect Vd240 Vd238) (= Vd240 Vd241) (tptp.rline Vd241) (= Vd238 Vd239) (tptp.rcircle Vd239)) (exists ((Vd242 $$unsorted)) (and (tptp.ron Vd242 Vd238) (tptp.ron Vd242 Vd240) (tptp.rpoint Vd242))))) (forall ((Vd232 $$unsorted) (Vd233 $$unsorted) (Vd234 $$unsorted) (Vd235 $$unsorted)) (=> (and (tptp.rintersect Vd232 Vd234) (= Vd234 Vd235) (tptp.rline Vd235) (= Vd232 Vd233) (tptp.rline Vd233)) (exists ((Vd236 $$unsorted)) (and (tptp.ron Vd236 Vd234) (tptp.ron Vd236 Vd232) (tptp.rpoint Vd236))))) (forall ((Vd225 $$unsorted) (Vd226 $$unsorted)) (=> (and (not (= Vd225 Vd226)) (exists ((Vd230 $$unsorted)) (and (= Vd226 Vd230) (tptp.rpoint Vd230))) (exists ((Vd229 $$unsorted)) (and (= Vd225 Vd229) (tptp.rpoint Vd229)))) (exists ((Vd231 $$unsorted)) (and (tptp.ron Vd226 Vd231) (tptp.rcenter Vd225 Vd231) (tptp.rcircle Vd231))))) (forall ((Vd211 $$unsorted) (Vd212 $$unsorted)) (=> (and (= Vd211 Vd212) (tptp.rcircle Vd212)) (exists ((Vd213 $$unsorted)) (and (tptp.rinside Vd213 Vd211) (tptp.rpoint Vd213))))) (forall ((Vd200 $$unsorted) (Vd201 $$unsorted) (Vd202 $$unsorted) (Vd203 $$unsorted)) (=> (and (tptp.ron Vd203 Vd200) (tptp.ron Vd202 Vd200) (exists ((Vd206 $$unsorted)) (and (= Vd203 Vd206) (tptp.rpoint Vd206))) (exists ((Vd205 $$unsorted)) (and (= Vd202 Vd205) (tptp.rpoint Vd205))) (= Vd200 Vd201) (tptp.rcircle Vd201)) (exists ((Vd208 $$unsorted)) (and (not (= Vd208 Vd203)) (not (= Vd208 Vd202)) (tptp.ron Vd208 Vd200) (tptp.rpoint Vd208))))) (forall ((Vd194 $$unsorted) (Vd195 $$unsorted) (Vd196 $$unsorted) (Vd197 $$unsorted)) (=> (and (tptp.ron Vd196 Vd194) (= Vd196 Vd197) (tptp.rpoint Vd197) (= Vd194 Vd195) (tptp.rcircle Vd195)) (exists ((Vd198 $$unsorted)) (and (not (= Vd198 Vd196)) (tptp.ron Vd198 Vd194) (tptp.rpoint Vd198))))) (forall ((Vd191 $$unsorted) (Vd192 $$unsorted)) (=> (and (= Vd191 Vd192) (tptp.rcircle Vd192)) (exists ((Vd193 $$unsorted)) (and (tptp.ron Vd193 Vd191) (tptp.rpoint Vd193))))) (forall ((Vd185 $$unsorted) (Vd186 $$unsorted) (Vd187 $$unsorted) (Vd188 $$unsorted)) (=> (and (= Vd187 Vd188) (not (tptp.ron Vd187 Vd185)) (tptp.rpoint Vd188) (= Vd185 Vd186) (tptp.rline Vd186)) (exists ((Vd189 $$unsorted)) (and (not (tptp.rS Vd189 Vd187 Vd185)) (tptp.rpoint Vd189))))) (forall ((Vd170 $$unsorted) (Vd171 $$unsorted) (Vd172 $$unsorted) (Vd173 $$unsorted) (Vd174 $$unsorted) (Vd175 $$unsorted) (Vd177 $$unsorted) (Vd178 $$unsorted)) (=> (and (= Vd172 Vd173) (= Vd174 Vd175) (= Vd177 Vd178) (tptp.rS Vd177 Vd172 Vd170) (tptp.rpoint Vd178) (tptp.rS Vd174 Vd172 Vd170) (tptp.rpoint Vd175) (not (tptp.ron Vd172 Vd170)) (tptp.rpoint Vd173) (= Vd170 Vd171) (tptp.rline Vd171)) (exists ((Vd180 $$unsorted)) (and (not (= Vd180 Vd177)) (not (= Vd180 Vd174)) (not (= Vd180 Vd172)) (tptp.rS Vd180 Vd172 Vd170) (tptp.rpoint Vd180))))) (forall ((Vd159 $$unsorted) (Vd160 $$unsorted) (Vd161 $$unsorted) (Vd162 $$unsorted) (Vd163 $$unsorted) (Vd164 $$unsorted)) (=> (and (= Vd161 Vd162) (= Vd163 Vd164) (tptp.rS Vd163 Vd161 Vd159) (tptp.rpoint Vd164) (not (tptp.ron Vd161 Vd159)) (tptp.rpoint Vd162) (= Vd159 Vd160) (tptp.rline Vd160)) (exists ((Vd166 $$unsorted)) (and (not (= Vd166 Vd163)) (not (= Vd166 Vd161)) (tptp.rS Vd166 Vd161 Vd159) (tptp.rpoint Vd166))))) (forall ((Vd152 $$unsorted) (Vd153 $$unsorted) (Vd154 $$unsorted) (Vd155 $$unsorted)) (=> (and (= Vd154 Vd155) (not (tptp.ron Vd154 Vd152)) (tptp.rpoint Vd155) (= Vd152 Vd153) (tptp.rline Vd153)) (exists ((Vd156 $$unsorted)) (and (not (= Vd156 Vd154)) (tptp.rS Vd156 Vd154 Vd152) (tptp.rpoint Vd156))))) (forall ((Vd138 $$unsorted) (Vd139 $$unsorted) (Vd140 $$unsorted) (Vd141 $$unsorted) (Vd146 $$unsorted) (Vd147 $$unsorted)) (=> (and (= Vd146 Vd147) (tptp.rR Vd141 Vd140 Vd146) (tptp.rpoint Vd147) (tptp.ron Vd141 Vd138) (tptp.ron Vd140 Vd138) (exists ((Vd144 $$unsorted)) (and (= Vd141 Vd144) (tptp.rpoint Vd144))) (exists ((Vd143 $$unsorted)) (and (= Vd140 Vd143) (tptp.rpoint Vd143))) (= Vd138 Vd139) (tptp.rline Vd139)) (exists ((Vd149 $$unsorted)) (and (not (= Vd149 Vd146)) (tptp.rR Vd141 Vd140 Vd149) (tptp.rpoint Vd149))))) (forall ((Vd127 $$unsorted) (Vd128 $$unsorted) (Vd129 $$unsorted) (Vd130 $$unsorted)) (=> (and (not (= Vd129 Vd130)) (tptp.ron Vd130 Vd127) (tptp.ron Vd129 Vd127) (exists ((Vd133 $$unsorted)) (and (= Vd130 Vd133) (tptp.rpoint Vd133))) (exists ((Vd132 $$unsorted)) (and (= Vd129 Vd132) (tptp.rpoint Vd132))) (= Vd127 Vd128) (tptp.rline Vd128)) (exists ((Vd136 $$unsorted)) (and (tptp.rR Vd130 Vd129 Vd136) (tptp.rpoint Vd136))))) (forall ((Vd109 $$unsorted) (Vd110 $$unsorted) (Vd111 $$unsorted) (Vd112 $$unsorted) (Vd113 $$unsorted) (Vd114 $$unsorted)) (=> (and (tptp.rR Vd114 Vd111 Vd112) (tptp.rR Vd113 Vd111 Vd112) (tptp.ron Vd113 Vd109) (tptp.ron Vd112 Vd109) (tptp.ron Vd111 Vd109) (exists ((Vd119 $$unsorted)) (and (= Vd114 Vd119) (tptp.rpoint Vd119))) (exists ((Vd118 $$unsorted)) (and (= Vd113 Vd118) (tptp.rpoint Vd118))) (exists ((Vd117 $$unsorted)) (and (= Vd112 Vd117) (tptp.rpoint Vd117))) (exists ((Vd116 $$unsorted)) (and (= Vd111 Vd116) (tptp.rpoint Vd116))) (= Vd109 Vd110) (tptp.rline Vd110)) (exists ((Vd123 $$unsorted)) (and (not (= Vd123 Vd114)) (not (= Vd123 Vd113)) (tptp.rR Vd123 Vd111 Vd112) (tptp.rpoint Vd123))))) (forall ((Vd95 $$unsorted) (Vd96 $$unsorted) (Vd97 $$unsorted) (Vd98 $$unsorted) (Vd99 $$unsorted)) (=> (and (tptp.rR Vd99 Vd97 Vd98) (tptp.ron Vd98 Vd95) (tptp.ron Vd97 Vd95) (exists ((Vd103 $$unsorted)) (and (= Vd99 Vd103) (tptp.rpoint Vd103))) (exists ((Vd102 $$unsorted)) (and (= Vd98 Vd102) (tptp.rpoint Vd102))) (exists ((Vd101 $$unsorted)) (and (= Vd97 Vd101) (tptp.rpoint Vd101))) (= Vd95 Vd96) (tptp.rline Vd96)) (exists ((Vd106 $$unsorted)) (and (not (= Vd106 Vd99)) (tptp.rR Vd106 Vd97 Vd98) (tptp.rpoint Vd106))))) (forall ((Vd84 $$unsorted) (Vd85 $$unsorted) (Vd86 $$unsorted) (Vd87 $$unsorted)) (=> (and (not (= Vd86 Vd87)) (tptp.ron Vd87 Vd84) (tptp.ron Vd86 Vd84) (exists ((Vd90 $$unsorted)) (and (= Vd87 Vd90) (tptp.rpoint Vd90))) (exists ((Vd89 $$unsorted)) (and (= Vd86 Vd89) (tptp.rpoint Vd89))) (= Vd84 Vd85) (tptp.rline Vd85)) (exists ((Vd93 $$unsorted)) (and (tptp.rR Vd93 Vd86 Vd87) (tptp.rpoint Vd93))))) (forall ((Vd71 $$unsorted) (Vd72 $$unsorted) (Vd73 $$unsorted) (Vd74 $$unsorted) (Vd75 $$unsorted)) (=> (and (tptp.ron Vd75 Vd71) (tptp.ron Vd74 Vd71) (tptp.ron Vd73 Vd71) (exists ((Vd79 $$unsorted)) (and (= Vd75 Vd79) (tptp.rpoint Vd79))) (exists ((Vd78 $$unsorted)) (and (= Vd74 Vd78) (tptp.rpoint Vd78))) (exists ((Vd77 $$unsorted)) (and (= Vd73 Vd77) (tptp.rpoint Vd77))) (= Vd71 Vd72) (tptp.rline Vd72)) (exists ((Vd81 $$unsorted)) (and (not (= Vd81 Vd74)) (not (= Vd81 Vd73)) (tptp.ron Vd81 Vd71) (tptp.rpoint Vd81))))) (forall ((Vd61 $$unsorted) (Vd62 $$unsorted) (Vd63 $$unsorted) (Vd64 $$unsorted) (Vd65 $$unsorted) (Vd66 $$unsorted)) (=> (and (tptp.ron Vd65 Vd61) (tptp.ron Vd63 Vd61) (= Vd65 Vd66) (tptp.rpoint Vd66) (= Vd63 Vd64) (tptp.rpoint Vd64) (= Vd61 Vd62) (tptp.rline Vd62)) (exists ((Vd68 $$unsorted)) (and (not (= Vd68 Vd65)) (not (= Vd68 Vd63)) (tptp.ron Vd68 Vd61) (tptp.rpoint Vd68))))) (forall ((Vd55 $$unsorted) (Vd56 $$unsorted) (Vd57 $$unsorted) (Vd58 $$unsorted)) (=> (and (tptp.ron Vd57 Vd55) (= Vd57 Vd58) (tptp.rpoint Vd58) (= Vd55 Vd56) (tptp.rline Vd56)) (exists ((Vd59 $$unsorted)) (and (not (= Vd59 Vd57)) (tptp.ron Vd59 Vd55) (tptp.rpoint Vd59))))) (forall ((Vd52 $$unsorted) (Vd53 $$unsorted)) (=> (and (= Vd52 Vd53) (tptp.rline Vd53)) (exists ((Vd54 $$unsorted)) (and (tptp.ron Vd54 Vd52) (tptp.rpoint Vd54))))) (forall ((Vd38 $$unsorted) (Vd39 $$unsorted) (Vd40 $$unsorted) (Vd41 $$unsorted)) (=> (and (exists ((Vd46 $$unsorted)) (and (= Vd41 Vd46) (tptp.rpoint Vd46))) (exists ((Vd45 $$unsorted)) (and (= Vd40 Vd45) (tptp.rpoint Vd45))) (exists ((Vd44 $$unsorted)) (and (= Vd39 Vd44) (tptp.rpoint Vd44))) (exists ((Vd43 $$unsorted)) (and (= Vd38 Vd43) (tptp.rpoint Vd43)))) (exists ((Vd47 $$unsorted)) (and (not (= Vd47 Vd41)) (not (= Vd47 Vd40)) (not (= Vd47 Vd39)) (not (= Vd47 Vd38)) (tptp.rpoint Vd47))))) (forall ((Vd27 $$unsorted) (Vd28 $$unsorted) (Vd29 $$unsorted)) (=> (and (exists ((Vd33 $$unsorted)) (and (= Vd29 Vd33) (tptp.rpoint Vd33))) (exists ((Vd32 $$unsorted)) (and (= Vd28 Vd32) (tptp.rpoint Vd32))) (exists ((Vd31 $$unsorted)) (and (= Vd27 Vd31) (tptp.rpoint Vd31)))) (exists ((Vd34 $$unsorted)) (and (not (= Vd34 Vd29)) (not (= Vd34 Vd28)) (not (= Vd34 Vd27)) (tptp.rpoint Vd34))))) (forall ((Vd19 $$unsorted) (Vd20 $$unsorted)) (=> (and (exists ((Vd23 $$unsorted)) (and (= Vd20 Vd23) (tptp.rpoint Vd23))) (exists ((Vd22 $$unsorted)) (and (= Vd19 Vd22) (tptp.rpoint Vd22)))) (exists ((Vd24 $$unsorted)) (and (not (= Vd24 Vd20)) (not (= Vd24 Vd19)) (tptp.rpoint Vd24))))) (forall ((Vd15 $$unsorted) (Vd16 $$unsorted)) (=> (and (= Vd15 Vd16) (tptp.rpoint Vd16)) (exists ((Vd17 $$unsorted)) (and (not (= Vd17 Vd15)) (tptp.rpoint Vd17))))) (tptp.rpoint tptp.vd14) (forall ((Vd5 $$unsorted) (Vd6 $$unsorted) (Vd7 $$unsorted) (Vd9 $$unsorted)) (=> (and (= (tptp.vtriangle Vd5 Vd6 Vd7) Vd9) (tptp.rtriangle Vd9)) (and (not (= Vd6 Vd7)) (not (= Vd5 Vd7)) (not (= Vd5 Vd6)) (exists ((Vd13 $$unsorted)) (and (= Vd7 Vd13) (tptp.rpoint Vd13))) (exists ((Vd12 $$unsorted)) (and (= Vd6 Vd12) (tptp.rpoint Vd12))) (exists ((Vd11 $$unsorted)) (and (= Vd5 Vd11) (tptp.rpoint Vd11)))))) (forall ((Vd1 $$unsorted) (Vd2 $$unsorted)) (=> (tptp.rcenter Vd1 Vd2) (exists ((Vd3 $$unsorted) (Vd4 $$unsorted)) (and (= Vd2 Vd4) (tptp.rcircle Vd4) (= Vd1 Vd3) (tptp.rpoint Vd3))))) (forall ((Vd979 $$unsorted) (Vd980 $$unsorted) (Vd981 $$unsorted) (Vd982 $$unsorted) (Vd988 $$unsorted) (Vd989 $$unsorted)) (=> (and (not (tptp.ron Vd982 Vd988)) (= Vd988 Vd989) (tptp.rline Vd989) (not (= Vd981 Vd982)) (not (= Vd980 Vd982)) (not (= Vd980 Vd981)) (not (= Vd979 Vd982)) (not (= Vd979 Vd981)) (not (= Vd979 Vd980)) (exists ((Vd987 $$unsorted)) (and (= Vd982 Vd987) (tptp.rpoint Vd987))) (exists ((Vd986 $$unsorted)) (and (= Vd981 Vd986) (tptp.rpoint Vd986))) (exists ((Vd985 $$unsorted)) (and (= Vd980 Vd985) (tptp.rpoint Vd985))) (exists ((Vd984 $$unsorted)) (and (= Vd979 Vd984) (tptp.rpoint Vd984)))) (= (tptp.rR Vd981 Vd979 Vd980) (= (tptp.vplus (tptp.vg Vd979 Vd981 Vd982) (tptp.vg Vd982 Vd981 Vd980)) (tptp.vg Vd979 Vd982 Vd980))))) (forall ((Vd847 $$unsorted) (Vd848 $$unsorted) (Vd849 $$unsorted) (Vd850 $$unsorted) (Vd851 $$unsorted) (Vd852 $$unsorted)) (=> (and (tptp.ron Vd851 Vd850) (= Vd851 Vd852) (tptp.rpoint Vd852) (tptp.rcenter Vd849 Vd850) (= Vd847 Vd848) (tptp.rpoint Vd848)) (= (= (tptp.vf Vd849 Vd847) (tptp.vf Vd849 Vd851)) (tptp.ron Vd847 Vd850)))) (forall ((Vd967 $$unsorted) (Vd968 $$unsorted) (Vd969 $$unsorted) (Vd974 $$unsorted) (Vd975 $$unsorted)) (=> (and (tptp.ron Vd968 Vd974) (tptp.ron Vd967 Vd974) (not (= Vd967 Vd968)) (= Vd974 Vd975) (tptp.rline Vd975) (exists ((Vd973 $$unsorted)) (and (= Vd969 Vd973) (tptp.rpoint Vd973))) (exists ((Vd972 $$unsorted)) (and (= Vd968 Vd972) (tptp.rpoint Vd972))) (exists ((Vd971 $$unsorted)) (and (= Vd967 Vd971) (tptp.rpoint Vd971)))) (= (= (tptp.vg Vd967 Vd968 Vd969) tptp.v0) (tptp.ron Vd969 Vd974)))) (forall ((Vd837 $$unsorted) (Vd838 $$unsorted) (Vd842 $$unsorted) (Vd843 $$unsorted) (Vd844 $$unsorted)) (=> (and (= (tptp.vf Vd842 Vd837) (tptp.vf Vd842 Vd838)) (tptp.ron Vd838 Vd844) (tptp.ron Vd837 Vd843) (tptp.rcenter Vd842 Vd844) (tptp.rcenter Vd842 Vd843) (exists ((Vd841 $$unsorted)) (and (= Vd838 Vd841) (tptp.rpoint Vd841))) (exists ((Vd840 $$unsorted)) (and (= Vd837 Vd840) (tptp.rpoint Vd840)))) (= Vd843 Vd844))) (forall ((Vd958 $$unsorted) (Vd959 $$unsorted) (Vd960 $$unsorted)) (=> (and (exists ((Vd964 $$unsorted)) (and (= Vd960 Vd964) (tptp.rpoint Vd964))) (exists ((Vd963 $$unsorted)) (and (= Vd959 Vd963) (tptp.rpoint Vd963))) (exists ((Vd962 $$unsorted)) (and (= Vd958 Vd962) (tptp.rpoint Vd962)))) (exists ((Vd966 $$unsorted)) (and (= (tptp.vg Vd958 Vd959 Vd960) Vd966) (tptp.rreal Vd966))))) (forall ((Vd933 $$unsorted) (Vd934 $$unsorted) (Vd935 $$unsorted) (Vd936 $$unsorted) (Vd937 $$unsorted) (Vd944 $$unsorted) (Vd945 $$unsorted) (Vd946 $$unsorted)) (=> (and (tptp.rless (tptp.vplus (tptp.vangle Vd933 Vd934 Vd935) (tptp.vangle Vd934 Vd935 Vd936)) (tptp.vplus tptp.vperp tptp.vperp)) (tptp.rS Vd933 Vd936 Vd945) (not (= Vd934 Vd935)) (tptp.ron Vd936 Vd946) (tptp.ron Vd935 Vd946) (tptp.ron Vd935 Vd945) (tptp.ron Vd934 Vd945) (tptp.ron Vd934 Vd944) (tptp.ron Vd933 Vd944) (exists ((Vd950 $$unsorted)) (and (= Vd946 Vd950) (tptp.rline Vd950))) (exists ((Vd949 $$unsorted)) (and (= Vd945 Vd949) (tptp.rline Vd949))) (exists ((Vd948 $$unsorted)) (and (= Vd944 Vd948) (tptp.rline Vd948))) (exists ((Vd943 $$unsorted)) (and (= Vd937 Vd943) (tptp.rpoint Vd943))) (exists ((Vd942 $$unsorted)) (and (= Vd936 Vd942) (tptp.rpoint Vd942))) (exists ((Vd941 $$unsorted)) (and (= Vd935 Vd941) (tptp.rpoint Vd941))) (exists ((Vd940 $$unsorted)) (and (= Vd934 Vd940) (tptp.rpoint Vd940))) (exists ((Vd939 $$unsorted)) (and (= Vd933 Vd939) (tptp.rpoint Vd939)))) (and (=> (and (tptp.ron Vd937 Vd945) (tptp.ron Vd937 Vd944)) (tptp.rS Vd937 Vd933 Vd945)) (tptp.rintersect Vd944 Vd945)))) (forall ((Vd908 $$unsorted) (Vd909 $$unsorted) (Vd910 $$unsorted) (Vd911 $$unsorted) (Vd912 $$unsorted) (Vd919 $$unsorted) (Vd920 $$unsorted)) (=> (and (not (tptp.rR Vd908 Vd910 Vd912)) (not (tptp.rR Vd908 Vd909 Vd911)) (not (= Vd912 Vd908)) (not (= Vd911 Vd908)) (not (= Vd910 Vd908)) (not (= Vd909 Vd908)) (tptp.ron Vd912 Vd920) (tptp.ron Vd910 Vd920) (tptp.ron Vd911 Vd919) (tptp.ron Vd909 Vd919) (tptp.ron Vd908 Vd919) (exists ((Vd923 $$unsorted)) (and (= Vd920 Vd923) (tptp.rline Vd923))) (exists ((Vd922 $$unsorted)) (and (= Vd919 Vd922) (tptp.rline Vd922))) (exists ((Vd918 $$unsorted)) (and (= Vd912 Vd918) (tptp.rpoint Vd918))) (exists ((Vd917 $$unsorted)) (and (= Vd911 Vd917) (tptp.rpoint Vd917))) (exists ((Vd916 $$unsorted)) (and (= Vd910 Vd916) (tptp.rpoint Vd916))) (exists ((Vd915 $$unsorted)) (and (= Vd909 Vd915) (tptp.rpoint Vd915))) (exists ((Vd914 $$unsorted)) (and (= Vd908 Vd914) (tptp.rpoint Vd914)))) (= (tptp.vangle Vd909 Vd908 Vd910) (tptp.vangle Vd911 Vd908 Vd912)))) (forall ((Vd894 $$unsorted) (Vd895 $$unsorted) (Vd896 $$unsorted) (Vd897 $$unsorted) (Vd903 $$unsorted) (Vd904 $$unsorted)) (let ((_let_1 (tptp.vangle Vd894 Vd896 Vd897))) (=> (and (not (tptp.ron Vd897 Vd903)) (tptp.rR Vd896 Vd894 Vd895) (= Vd903 Vd904) (tptp.rline Vd904) (exists ((Vd902 $$unsorted)) (and (= Vd897 Vd902) (tptp.rpoint Vd902))) (exists ((Vd901 $$unsorted)) (and (= Vd896 Vd901) (tptp.rpoint Vd901))) (exists ((Vd900 $$unsorted)) (and (= Vd895 Vd900) (tptp.rpoint Vd900))) (exists ((Vd899 $$unsorted)) (and (= Vd894 Vd899) (tptp.rpoint Vd899)))) (= (= _let_1 (tptp.vangle Vd897 Vd896 Vd895)) (= _let_1 tptp.vperp))))) (forall ((Vd874 $$unsorted) (Vd875 $$unsorted) (Vd876 $$unsorted) (Vd877 $$unsorted) (Vd883 $$unsorted) (Vd884 $$unsorted)) (=> (and (not (= Vd883 Vd884)) (not (tptp.ron Vd877 Vd884)) (not (tptp.ron Vd877 Vd883)) (not (= Vd874 Vd876)) (not (= Vd874 Vd875)) (tptp.ron Vd876 Vd884) (tptp.ron Vd875 Vd883) (tptp.ron Vd874 Vd884) (tptp.ron Vd874 Vd883) (exists ((Vd887 $$unsorted)) (and (= Vd884 Vd887) (tptp.rline Vd887))) (exists ((Vd886 $$unsorted)) (and (= Vd883 Vd886) (tptp.rline Vd886))) (exists ((Vd882 $$unsorted)) (and (= Vd877 Vd882) (tptp.rpoint Vd882))) (exists ((Vd881 $$unsorted)) (and (= Vd876 Vd881) (tptp.rpoint Vd881))) (exists ((Vd880 $$unsorted)) (and (= Vd875 Vd880) (tptp.rpoint Vd880))) (exists ((Vd879 $$unsorted)) (and (= Vd874 Vd879) (tptp.rpoint Vd879)))) (= (= (tptp.vangle Vd875 Vd874 Vd876) (tptp.vplus (tptp.vangle Vd875 Vd874 Vd877) (tptp.vangle Vd877 Vd874 Vd876))) (and (tptp.rS Vd876 Vd877 Vd883) (tptp.rS Vd875 Vd877 Vd884))))) (forall ((Vd862 $$unsorted) (Vd863 $$unsorted) (Vd864 $$unsorted) (Vd865 $$unsorted) (Vd866 $$unsorted) (Vd867 $$unsorted) (Vd868 $$unsorted) (Vd869 $$unsorted)) (=> (and (tptp.ron Vd864 Vd868) (tptp.ron Vd862 Vd868) (not (= Vd862 Vd866)) (not (= Vd862 Vd864)) (= Vd868 Vd869) (tptp.rline Vd869) (= Vd866 Vd867) (tptp.rpoint Vd867) (= Vd864 Vd865) (tptp.rpoint Vd865) (= Vd862 Vd863) (tptp.rpoint Vd863)) (= (and (not (tptp.rR Vd862 Vd864 Vd866)) (tptp.ron Vd866 Vd868)) (= (tptp.vangle Vd864 Vd862 Vd866) tptp.v0)))) (forall ((Vd854 $$unsorted) (Vd855 $$unsorted) (Vd859 $$unsorted) (Vd860 $$unsorted)) (=> (and (tptp.ron Vd855 Vd860) (tptp.rcenter Vd859 Vd860) (exists ((Vd858 $$unsorted)) (and (= Vd855 Vd858) (tptp.rpoint Vd858))) (exists ((Vd857 $$unsorted)) (and (= Vd854 Vd857) (tptp.rpoint Vd857)))) (= (tptp.rless (tptp.vf Vd859 Vd854) (tptp.vf Vd859 Vd855)) (tptp.rinside Vd854 Vd860)))) (forall ((Vd828 $$unsorted) (Vd829 $$unsorted) (Vd830 $$unsorted)) (=> (and (tptp.rR Vd829 Vd828 Vd830) (exists ((Vd834 $$unsorted)) (and (= Vd830 Vd834) (tptp.rpoint Vd834))) (exists ((Vd833 $$unsorted)) (and (= Vd829 Vd833) (tptp.rpoint Vd833))) (exists ((Vd832 $$unsorted)) (and (= Vd828 Vd832) (tptp.rpoint Vd832)))) (= (tptp.vplus (tptp.vf Vd828 Vd829) (tptp.vf Vd829 Vd830)) (tptp.vf Vd828 Vd830)))) (forall ((Vd808 $$unsorted) (Vd809 $$unsorted) (Vd810 $$unsorted) (Vd811 $$unsorted) (Vd812 $$unsorted) (Vd813 $$unsorted)) (=> (and (= (tptp.vangle Vd810 Vd808 Vd809) (tptp.vangle Vd813 Vd811 Vd812)) (= (tptp.vangle Vd809 Vd810 Vd808) (tptp.vangle Vd812 Vd813 Vd811)) (= (tptp.vangle Vd808 Vd809 Vd810) (tptp.vangle Vd811 Vd812 Vd813)) (= (tptp.vf Vd810 Vd808) (tptp.vf Vd813 Vd811)) (= (tptp.vf Vd809 Vd810) (tptp.vf Vd812 Vd813)) (= (tptp.vf Vd808 Vd809) (tptp.vf Vd811 Vd812)) (exists ((Vd820 $$unsorted)) (and (= Vd813 Vd820) (tptp.rpoint Vd820))) (exists ((Vd819 $$unsorted)) (and (= Vd812 Vd819) (tptp.rpoint Vd819))) (exists ((Vd818 $$unsorted)) (and (= Vd811 Vd818) (tptp.rpoint Vd818))) (exists ((Vd817 $$unsorted)) (and (= Vd810 Vd817) (tptp.rpoint Vd817))) (exists ((Vd816 $$unsorted)) (and (= Vd809 Vd816) (tptp.rpoint Vd816))) (exists ((Vd815 $$unsorted)) (and (= Vd808 Vd815) (tptp.rpoint Vd815)))) (= (tptp.vg Vd808 Vd809 Vd810) (tptp.vg Vd811 Vd812 Vd813)))) (forall ((Vd799 $$unsorted) (Vd800 $$unsorted) (Vd801 $$unsorted)) (let ((_let_1 (tptp.vg Vd799 Vd800 Vd801))) (=> (and (exists ((Vd805 $$unsorted)) (and (= Vd801 Vd805) (tptp.rpoint Vd805))) (exists ((Vd804 $$unsorted)) (and (= Vd800 Vd804) (tptp.rpoint Vd804))) (exists ((Vd803 $$unsorted)) (and (= Vd799 Vd803) (tptp.rpoint Vd803)))) (and (= _let_1 (tptp.vg Vd799 Vd801 Vd800)) (= _let_1 (tptp.vg Vd801 Vd799 Vd800)))))) (forall ((Vd792 $$unsorted) (Vd793 $$unsorted) (Vd794 $$unsorted) (Vd795 $$unsorted) (Vd796 $$unsorted) (Vd797 $$unsorted)) (=> (and (= Vd796 Vd797) (tptp.rpoint Vd797) (= Vd794 Vd795) (tptp.rpoint Vd795) (= Vd792 Vd793) (tptp.rpoint Vd793)) (tptp.rgeq (tptp.vg Vd792 Vd794 Vd796) tptp.v0))) (forall ((Vd786 $$unsorted) (Vd787 $$unsorted)) (=> (and (exists ((Vd790 $$unsorted)) (and (= Vd787 Vd790) (tptp.rpoint Vd790))) (exists ((Vd789 $$unsorted)) (and (= Vd786 Vd789) (tptp.rpoint Vd789)))) (= (tptp.vg Vd786 Vd786 Vd787) tptp.v0))) (forall ((Vd777 $$unsorted) (Vd778 $$unsorted) (Vd779 $$unsorted)) (let ((_let_1 (tptp.vangle Vd777 Vd778 Vd779))) (=> (and (exists ((Vd783 $$unsorted)) (and (= Vd779 Vd783) (tptp.rpoint Vd783))) (exists ((Vd782 $$unsorted)) (and (= Vd778 Vd782) (tptp.rpoint Vd782))) (exists ((Vd781 $$unsorted)) (and (= Vd777 Vd781) (tptp.rpoint Vd781)))) (and (tptp.rleq _let_1 (tptp.vplus tptp.vperp tptp.vperp)) (tptp.rleq tptp.v0 _let_1))))) (forall ((Vd767 $$unsorted) (Vd768 $$unsorted) (Vd769 $$unsorted)) (=> (and (not (= Vd767 Vd769)) (not (= Vd767 Vd768)) (exists ((Vd773 $$unsorted)) (and (= Vd769 Vd773) (tptp.rpoint Vd773))) (exists ((Vd772 $$unsorted)) (and (= Vd768 Vd772) (tptp.rpoint Vd772))) (exists ((Vd771 $$unsorted)) (and (= Vd767 Vd771) (tptp.rpoint Vd771)))) (= (tptp.vangle Vd767 Vd768 Vd769) (tptp.vangle Vd769 Vd768 Vd767)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.54/0.73 )
% 0.54/0.73 % SZS output end Proof for GEO274+1
% 0.54/0.73 % cvc5---1.0.5 exiting
% 0.54/0.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------