%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 22:49:51 EDT 2023

% Result   : Unsatisfiable 64.59s 64.80s
% Output   : Proof 64.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 21:47:29 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VSY0tAymr9/cvc5---1.0.5_19524.p...
% 0.21/0.53  ------- get file name : TPTP file name is GEO127-1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19524.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.73  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.56/15.80  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.58/20.84  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.65/25.87  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.73/31.00  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.81/36.08  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.96/41.19  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.08/46.36  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.25/51.44  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.28/56.50  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.35/61.59  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 64.59/64.80  % SZS status Unsatisfiable for GEO127-1
% 64.59/64.80  % SZS output start Proof for GEO127-1
% 64.59/64.81  (
% 64.59/64.81  (let ((_let_1 (forall ((A $$unsorted)) (or (not (tptp.ordered_by tptp.sk25 A tptp.sk26)) (not (tptp.incident_o tptp.sk26 tptp.sk25)))))) (let ((_let_2 (forall ((A $$unsorted)) (or (not (tptp.ordered_by tptp.sk25 tptp.sk26 A)) (not (tptp.incident_o tptp.sk26 tptp.sk25)))))) (let ((_let_3 (tptp.incident_o tptp.sk26 tptp.sk25))) (let ((_let_4 (not _let_3))) (let ((_let_5 (or _let_3 (tptp.ordered_by tptp.sk25 tptp.sk26 tptp.sk27) (tptp.ordered_by tptp.sk25 tptp.sk27 tptp.sk26)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.underlying_curve B))) (not (tptp.incident_c C A)) (tptp.incident_o C B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.underlying_curve B))) (not (tptp.incident_o C B)) (tptp.incident_c C A))))) (let ((_let_8 (forall ((A $$unsorted)) (tptp.start_point (tptp.ax2_sk6 A) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ordered_by A B C)) (tptp.incident_o C A))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ordered_by A B C)) (tptp.incident_o B A))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.start_point A B)) (= A C) (not (tptp.incident_o C B)) (tptp.ordered_by B A C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (not (= A (tptp.ax0_sk11 A B))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (tptp.end_point (tptp.ax0_sk11 A B) B))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.part_of (tptp.ax0_sk3 B A) (tptp.ax0_sk4 B A))) (tptp.end_point A B))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.incident_c A (tptp.ax0_sk4 B A)) (tptp.end_point A B))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.part_of (tptp.ax0_sk3 B A) B) (tptp.end_point A B))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (tptp.incident_c A B))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c (tptp.ax0_sk1 A B) B)) (tptp.part_of A B))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.incident_c (tptp.ax0_sk1 A B) A) (tptp.part_of A B))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.part_of A B)) (not (tptp.incident_c C A)) (tptp.incident_c C B))))) (let ((_let_21 (io_tptp.underlying_curve_34 i_tptp.sk25_37))) (let ((_let_22 (io_tptp.ax0_sk4_7 _let_21 i_tptp.sk26_36))) (let ((_let_23 (io_tptp.ax0_sk3_6 _let_21 i_tptp.sk26_36))) (let ((_let_24 (io_tptp.ax0_sk1_3 _let_23 _let_22))) (let ((_let_25 (io_tptp.ordered_by_21 i_tptp.sk25_37 i_tptp.sk26_36 _let_24))) (let ((_let_26 (io_tptp.start_point_22 i_tptp.sk26_36 i_tptp.sk25_37))) (let ((_let_27 (io_tptp.incident_o_23 _let_24 i_tptp.sk25_37))) (let ((_let_28 (not _let_27))) (let ((_let_29 (= i_tptp.sk26_36 _let_24))) (let ((_let_30 (not _let_26))) (let ((_let_31 (or _let_30 _let_29 _let_28 _let_25))) (let ((_let_32 (forall ((b_A it_4_$$unsorted)) (not (io_tptp.ordered_by_21 i_tptp.sk25_37 i_tptp.sk26_36 b_A))))) (let ((_let_33 (forall ((b_A it_4_$$unsorted)) (not (io_tptp.ordered_by_21 i_tptp.sk25_37 i_tptp.sk26_36 b_A))))) (let ((_let_34 (io_tptp.incident_o_23 i_tptp.sk26_36 i_tptp.sk25_37))) (let ((_let_35 (io_tptp.ordered_by_21 i_tptp.sk25_37 i_tptp.sk26_36 i_tptp.sk27_38))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (io_tptp.ordered_by_21 i_tptp.sk25_37 i_tptp.sk27_38 i_tptp.sk26_36))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_34))) (let ((_let_41 (forall ((b_A it_199_$$unsorted) (b_B it_4_$$unsorted) (b_C it_4_$$unsorted)) (or (not (io_tptp.ordered_by_21 b_A b_B b_C)) (io_tptp.incident_o_23 b_B b_A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_10)) (PREPROCESS :args ((= _let_10 _let_41)))))) (let ((_let_43 (forall ((b_A it_199_$$unsorted) (b_B it_4_$$unsorted) (b_C it_4_$$unsorted)) (or (not (io_tptp.ordered_by_21 b_A b_B b_C)) (io_tptp.incident_o_23 b_C b_A))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_9)) (PREPROCESS :args ((= _let_9 _let_43)))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_34 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (i_tptp.sk25_37 i_tptp.sk27_38 i_tptp.sk26_36 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_43))) _let_44 :args (_let_40 false _let_43)) (EQ_RESOLVE (ASSUME :args (_let_5)) (PREPROCESS :args ((= _let_5 (or _let_34 _let_35 _let_38))))) (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_34 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (i_tptp.sk25_37 i_tptp.sk26_36 i_tptp.sk27_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_41))) _let_42 :args (_let_37 false _let_41)) :args (_let_34 false _let_40 false _let_38 true _let_35 false _let_37)))) (let ((_let_46 (not _let_34))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_32 (= b_A b_A)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (or _let_4 (forall ((A $$unsorted)) (not (tptp.ordered_by tptp.sk25 tptp.sk26 A)))) (or _let_46 _let_33)))))) _let_45 :args (_let_33 false _let_34)) :args (_let_32 false _let_33)))) (let ((_let_48 (_let_32))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (io_tptp.ax2_sk6_30 i_tptp.sk25_37))) (let ((_let_51 (= i_tptp.sk26_36 _let_50))) (let ((_let_52 (io_tptp.start_point_22 _let_50 i_tptp.sk25_37))) (let ((_let_53 (io_tptp.ordered_by_21 i_tptp.sk25_37 _let_50 i_tptp.sk26_36))) (let ((_let_54 (not _let_52))) (let ((_let_55 (or _let_54 _let_51 _let_46 _let_53))) (let ((_let_56 (forall ((b_A it_4_$$unsorted) (b_B it_199_$$unsorted) (b_C it_4_$$unsorted)) (or (not (io_tptp.start_point_22 b_A b_B)) (= b_A b_C) (not (io_tptp.incident_o_23 b_C b_B)) (io_tptp.ordered_by_21 b_B b_A b_C))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_11)) (PREPROCESS :args ((= _let_11 _let_56)))))) (let ((_let_58 (_let_56))) (let ((_let_59 (forall ((b_A it_4_$$unsorted)) (not (io_tptp.ordered_by_21 i_tptp.sk25_37 b_A i_tptp.sk26_36))))) (let ((_let_60 (forall ((b_A it_4_$$unsorted)) (not (io_tptp.ordered_by_21 i_tptp.sk25_37 b_A i_tptp.sk26_36))))) (let ((_let_61 (_let_59))) (let ((_let_62 (forall ((b_A it_199_$$unsorted)) (io_tptp.start_point_22 (io_tptp.ax2_sk6_30 b_A) b_A)))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_8)) (PREPROCESS :args ((= _let_8 _let_62)))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (i_tptp.sk25_37 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_62))) _let_63 :args (_let_52 false _let_62)))) (let ((_let_65 (or))) (let ((_let_66 (ASSUME :args (_let_30)))) (let ((_let_67 (ASSUME :args (_let_51)))) (let ((_let_68 (ASSUME :args (_let_52)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_67 _let_68) :args (_let_30 _let_52 _let_51)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_68)) (CONG (SYMM _let_67) (REFL :args (i_tptp.sk25_37)) :args (APPLY_UF io_tptp.start_point_22)) (FALSE_INTRO _let_66))) :args (_let_30 _let_51 _let_52)) :args ((not (and _let_30 _let_52 _let_51)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_54)) (REFL :args ((not _let_51))) :args _let_65)) _let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_46 _let_54 _let_51 _let_53 (not _let_55)))) _let_45 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (_let_50 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_59 (= b_A b_A)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (or _let_4 (forall ((A $$unsorted)) (not (tptp.ordered_by tptp.sk25 A tptp.sk26)))) (or _let_46 _let_60)))))) _let_45 :args (_let_60 false _let_34)) :args (_let_59 false _let_60)) :args ((not _let_53) false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_50 i_tptp.sk25_37 i_tptp.sk26_36 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58))) _let_57 :args (_let_55 false _let_56)) :args (_let_51 false _let_34 false _let_52 true _let_53 false _let_55)) :args (_let_26 false _let_52 false _let_51)))) (let ((_let_70 ((not (= (io_tptp.ordered_by_21 b_B b_A b_C) true))))) (let ((_let_71 (io_tptp.incident_c_2 i_tptp.sk26_36 _let_22))) (let ((_let_72 (io_tptp.incident_c_2 _let_24 _let_22))) (let ((_let_73 (not _let_29))) (let ((_let_74 (io_tptp.end_point_5 i_tptp.sk26_36 _let_21))) (let ((_let_75 (io_tptp.incident_c_2 i_tptp.sk26_36 _let_21))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_71 _let_74))) (let ((_let_78 (forall ((b_A it_4_$$unsorted) (B $$unsorted)) (or (not (io_tptp.incident_c_2 b_A B)) (io_tptp.incident_c_2 b_A (io_tptp.ax0_sk4_7 B b_A)) (io_tptp.end_point_5 b_A B))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_15)) (PREPROCESS :args ((= _let_15 _let_78)))))) (let ((_let_80 (io_tptp.ax0_sk11_16 i_tptp.sk26_36 _let_21))) (let ((_let_81 (= i_tptp.sk26_36 _let_80))) (let ((_let_82 (not _let_81))) (let ((_let_83 (not _let_74))) (let ((_let_84 (or _let_83 _let_82))) (let ((_let_85 (io_tptp.end_point_5 _let_80 _let_21))) (let ((_let_86 (or _let_83 _let_85))) (let ((_let_87 (io_tptp.ordered_by_21 i_tptp.sk25_37 i_tptp.sk26_36 _let_80))) (let ((_let_88 (io_tptp.incident_o_23 _let_80 i_tptp.sk25_37))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_30 _let_81 _let_89 _let_87))) (let ((_let_91 (io_tptp.incident_c_2 _let_80 _let_21))) (let ((_let_92 (not _let_85))) (let ((_let_93 (or _let_92 _let_91))) (let ((_let_94 (not _let_91))) (let ((_let_95 (or _let_94 _let_88))) (let ((_let_96 (forall ((b_A it_4_$$unsorted) (B $$unsorted)) (or (not (io_tptp.end_point_5 b_A B)) (not (= b_A (io_tptp.ax0_sk11_16 b_A B))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_12)) (PREPROCESS :args ((= _let_12 _let_96)))))) (let ((_let_98 (forall ((b_A it_4_$$unsorted) (B $$unsorted)) (or (not (io_tptp.end_point_5 b_A B)) (io_tptp.end_point_5 (io_tptp.ax0_sk11_16 b_A B) B))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_13)) (PREPROCESS :args ((= _let_13 _let_98)))))) (let ((_let_100 (forall ((b_A it_4_$$unsorted) (B $$unsorted)) (or (not (io_tptp.end_point_5 b_A B)) (io_tptp.incident_c_2 b_A B))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_17)) (PREPROCESS :args ((= _let_17 _let_100)))))) (let ((_let_102 (forall ((b_B it_199_$$unsorted) (b_C it_4_$$unsorted)) (or (not (io_tptp.incident_c_2 b_C (io_tptp.underlying_curve_34 b_B))) (io_tptp.incident_o_23 b_C b_B))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.incident_c C (tptp.underlying_curve B))) (tptp.incident_o C B))) _let_102))))))) (let ((_let_104 (_let_102))) (let ((_let_105 ((not (= (io_tptp.incident_c_2 b_C (io_tptp.underlying_curve_34 b_B)) false))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_94 _let_88 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (i_tptp.sk25_37 _let_80 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_104)) _let_103 :args (_let_95 false _let_102)) (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_91 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_80 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.end_point_5 b_A B) false))))) :args (_let_100))) _let_101 :args (_let_93 false _let_100)) (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_30 _let_81 _let_87 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (i_tptp.sk26_36 i_tptp.sk25_37 _let_80 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_58)) _let_57 :args (_let_90 false _let_56)) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_80 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_47 :args ((not _let_87) false _let_32)) (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_83 _let_85 (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (i_tptp.sk26_36 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.ax0_sk11_16 b_A B)))) :args (_let_98))) _let_99 :args (_let_86 false _let_98)) (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_82 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (i_tptp.sk26_36 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.end_point_5 b_A B) false))))) :args (_let_96))) _let_97 :args (_let_84 false _let_96)) :args (_let_83 false _let_95 false _let_91 false _let_93 true _let_88 false _let_90 false _let_26 true _let_87 false _let_85 false _let_86 true _let_81 false _let_84)))) (let ((_let_107 (or _let_46 _let_75))) (let ((_let_108 (forall ((b_B it_199_$$unsorted) (b_C it_4_$$unsorted)) (or (not (io_tptp.incident_o_23 b_C b_B)) (io_tptp.incident_c_2 b_C (io_tptp.underlying_curve_34 b_B)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.incident_o C B)) (tptp.incident_c C 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C))) (or (not (tptp.incident_c _let_1 B)) (not (tptp.incident_c _let_1 C)) (= C (tptp.sum B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk2 A B C))) (or (not (tptp.incident_c _let_1 A)) (not (tptp.incident_c _let_1 C)) (= C (tptp.sum B A))))) _let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.end_point A B)) (not (tptp.part_of C B)) (not (tptp.part_of D B)) (not (tptp.incident_c A C)) (not (tptp.incident_c A D)) (tptp.part_of C D) (tptp.part_of D C))) _let_16 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.part_of (tptp.ax0_sk4 B A) B) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.incident_c A (tptp.ax0_sk3 B A)) (tptp.end_point A B))) _let_15 _let_14 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.part_of (tptp.ax0_sk4 B A) (tptp.ax0_sk3 B A))) (tptp.end_point A B))) (forall ((A 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(tptp.incident_c (tptp.ax0_sk5 C B A) B) (tptp.meet A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.incident_c A C)) (tptp.incident_c (tptp.ax0_sk5 C B A) C) (tptp.meet A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk5 C B A))) (or (not (tptp.incident_c A B)) (not (tptp.incident_c A C)) (not (tptp.end_point _let_1 B)) (not (tptp.end_point _let_1 C)) (tptp.meet A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.closed A)) (not (tptp.end_point B A)))) (forall ((A $$unsorted)) (or (tptp.end_point (tptp.ax0_sk6 A) A) (tptp.closed A))) (forall ((A $$unsorted)) (or (not (tptp.open A)) (tptp.end_point (tptp.ax0_sk7 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (tptp.open B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.part_of A B)) (= A B) (tptp.open A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.part_of A B)) (not (tptp.part_of C B)) (not (tptp.part_of D B)) (not (tptp.end_point E A)) (not (tptp.end_point E C)) (not (tptp.end_point E D)) (tptp.part_of C D) (tptp.part_of D C) (tptp.part_of A C) (tptp.part_of C A) (tptp.part_of A D) (tptp.part_of D A))) (forall ((A $$unsorted)) (tptp.inner_point (tptp.ax0_sk8 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.inner_point A B)) (tptp.meet A (tptp.ax0_sk9 A B) (tptp.ax0_sk10 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.inner_point A B)) (= B (tptp.sum (tptp.ax0_sk9 A B) (tptp.ax0_sk10 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.end_point A B)) (not (tptp.end_point C B)) (not (tptp.end_point D B)) (= A C) (= A D) (= C D))) _let_13 _let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.closed A)) (not (tptp.meet B C D)) (not (= A (tptp.sum C D))) (not (tptp.end_point E C)) (tptp.meet E C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.meet A B C)) (= (tptp.ax0_sk12 C B) (tptp.sum B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax0_sk13 A B))) (or (tptp.incident_c _let_1 B) (tptp.incident_c _let_1 A) (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax0_sk13 A B) B))) (or _let_1 (not _let_1) (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax0_sk13 A B) A))) (or (not _let_1) _let_1 (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax0_sk13 A B))) (or (not (tptp.incident_c _let_1 A)) (not (tptp.incident_c _let_1 B)) (= B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (not (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.part_of (tptp.ax1_sk1 D C B A) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.end_point B (tptp.ax1_sk1 D C B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.end_point D (tptp.ax1_sk1 D C B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.inner_point C (tptp.ax1_sk1 D C B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (= A B) (not (tptp.part_of C D)) (not (tptp.end_point A C)) (not (tptp.end_point B C)) (not (tptp.inner_point E C)) (tptp.between_c D A E B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A B C) (tptp.ordered_by A D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A B C) (tptp.ordered_by A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A C D) (tptp.ordered_by A D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A C D) (tptp.ordered_by A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ordered_by A B C)) (not (tptp.ordered_by A C D)) (tptp.between_o A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ordered_by A B C)) (not (tptp.ordered_by A C D)) (tptp.between_o A D C B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.start_point A B)) (tptp.incident_o A B))) _let_11 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (= A (tptp.ax2_sk1 B A))) (tptp.start_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (tptp.incident_o (tptp.ax2_sk1 B A) B) (tptp.start_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (tptp.ordered_by B A (tptp.ax2_sk1 B A))) (tptp.start_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.finish_point A B)) (tptp.incident_o A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.finish_point A B)) (= A C) (not (tptp.incident_o C B)) (tptp.ordered_by B C A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (= A (tptp.ax2_sk2 B A))) (tptp.finish_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (tptp.incident_o (tptp.ax2_sk2 B A) B) (tptp.finish_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (tptp.ordered_by B (tptp.ax2_sk2 B A) A)) (tptp.finish_point A B))) _let_10 _let_9 (forall ((A $$unsorted)) (tptp.open (tptp.ax2_sk3 A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (tptp.incident_c A (tptp.ax2_sk3 B)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A (tptp.ax2_sk3 B))) (tptp.incident_o A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.between_o A B C D)) (not (tptp.incident_o E A)) (tptp.incident_c E (tptp.ax2_sk4 A D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.between_o A B C D)) (not (tptp.incident_c E (tptp.ax2_sk4 A D C B))) (tptp.incident_o E A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.between_c (tptp.ax2_sk4 A D C B) B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ax2_sk5 A B C D E))) (or (tptp.incident_o _let_1 B) (tptp.incident_c _let_1 A) (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.incident_o (tptp.ax2_sk5 A B C D E) B))) (or _let_1 (not _let_1) (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax2_sk5 A B C D E) A))) (or (not _let_1) _let_1 (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ax2_sk5 A B C D E))) (or (not (tptp.incident_c _let_1 A)) (not (tptp.incident_o _let_1 B)) (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.open A)) (= B C) (not (tptp.incident_c B A)) (not (tptp.incident_c C A)) (not (tptp.incident_o D (tptp.ax2_sk7 A C B))) (tptp.incident_c D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.open A)) (= B C) (not (tptp.incident_c B A)) (not (tptp.incident_c C A)) (not (tptp.incident_c D A)) (tptp.incident_o D (tptp.ax2_sk7 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.open A)) (= B C) (not (tptp.incident_c B A)) (not (tptp.incident_c C A)) (tptp.ordered_by (tptp.ax2_sk7 A C B) B C))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk9 B A))) (let ((_let_2 (tptp.ax2_sk8 B A))) (or (tptp.ordered_by A _let_2 _let_1) (tptp.ordered_by B _let_2 _let_1) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ordered_by A (tptp.ax2_sk8 B A) (tptp.ax2_sk9 B A)))) (or _let_1 (not _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ordered_by A (tptp.ax2_sk8 A B) (tptp.ax2_sk9 A B)))) (or (not _let_1) _let_1 (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk9 A B))) (let ((_let_2 (tptp.ax2_sk8 A B))) (or (not (tptp.ordered_by A _let_2 _let_1)) (not (tptp.ordered_by B _let_2 _let_1)) (= B A))))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk10 A B))) (or (tptp.incident_o _let_1 A) (tptp.incident_c _let_1 B) (= B (tptp.underlying_curve A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_o (tptp.ax2_sk10 A B) A))) (or _let_1 (not _let_1) (= B (tptp.underlying_curve A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax2_sk10 A B) B))) (or (not _let_1) _let_1 (= B (tptp.underlying_curve A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk10 A B))) (or (not (tptp.incident_c _let_1 B)) (not (tptp.incident_o _let_1 A)) (= B (tptp.underlying_curve A))))) _let_5 (or _let_3 _let_4) (forall ((A $$unsorted)) (or (not (tptp.ordered_by tptp.sk25 tptp.sk26 A)) (tptp.ordered_by tptp.sk25 tptp.sk26 tptp.sk27) (tptp.ordered_by tptp.sk25 tptp.sk27 tptp.sk26))) (forall ((A $$unsorted)) (or (not (tptp.ordered_by tptp.sk25 A tptp.sk26)) (tptp.ordered_by tptp.sk25 tptp.sk26 tptp.sk27) (tptp.ordered_by tptp.sk25 tptp.sk27 tptp.sk26))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 64.59/64.81  )
% 64.59/64.81  % SZS output end Proof for GEO127-1
% 64.59/64.81  % cvc5---1.0.5 exiting
% 64.59/64.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------