%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 22:50:53 EDT 2023

% Result   : Theorem 0.19s 0.72s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 23:50:25 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.72  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9W6Imyf78L/cvc5---1.0.5_29320.p...
% 0.19/0.72  ------- get file name : TPTP file name is GEO255+1
% 0.19/0.72  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29320.smt2...
% 0.19/0.72  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.72  % SZS status Theorem for GEO255+1
% 0.19/0.72  % SZS output start Proof for GEO255+1
% 0.19/0.72  (
% 0.19/0.72  (let ((_let_1 (not (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (and (tptp.line L) (tptp.distinct_points A B)) (not (and (tptp.before_on_line L A B) (tptp.before_on_line L B A)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.unequally_directed_lines (tptp.line_connecting A B) (tptp.reverse_line (tptp.line_connecting B A))))))) (let ((_let_3 (forall ((L $$unsorted) (M $$unsorted)) (=> (and (tptp.line L) (tptp.line M)) (or (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))))))) (let ((_let_4 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (or (and (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines L _let_1)) (and (tptp.unequally_directed_lines M N) (tptp.unequally_directed_lines M _let_1)))))))) (let ((_let_5 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.unequally_directed_lines L M) (or (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines M N)))))) (let ((_let_6 (forall ((L $$unsorted)) (not (tptp.unequally_directed_lines L L))))) (let ((_let_7 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.before_on_line L A B) (and (tptp.distinct_points A B) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A _let_1))) (not (or (tptp.left_apart_point B L) (tptp.left_apart_point B _let_1))) (not (tptp.unequally_directed_lines L (tptp.line_connecting A B))))))))) (let ((_let_8 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (or (not (tptp.unequally_directed_lines L M)) (not (tptp.unequally_directed_lines L (tptp.reverse_line M))) (and (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines L _let_1)) (and (tptp.unequally_directed_lines M N) (tptp.unequally_directed_lines M _let_1))))))) (let ((_let_9 (tptp.reverse_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.unequally_directed_lines _let_10 _let_9))) (let ((_let_12 (tptp.unequally_directed_lines _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (tptp.unequally_directed_lines _let_9 _let_9))) (let ((_let_15 (and (tptp.unequally_directed_lines _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_14))) (let ((_let_16 (tptp.reverse_line _let_10))) (let ((_let_17 (tptp.unequally_directed_lines _let_9 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.unequally_directed_lines _let_9 _let_10))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_15 _let_13))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_13))) (let ((_let_25 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (tptp.reverse_line _let_25))) (let ((_let_27 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25))) (let ((_let_28 (and _let_27 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26)))) (let ((_let_29 (tptp.unequally_directed_lines _let_10 _let_26))) (let ((_let_30 (and (tptp.unequally_directed_lines _let_10 _let_25) _let_29))) (let ((_let_31 (not _let_11))) (let ((_let_32 (not _let_12))) (let ((_let_33 (or _let_32 _let_31 _let_30 _let_28))) (let ((_let_34 (_let_8))) (let ((_let_35 (tptp.reverse_line N))) (let ((_let_36 (not _let_28))) (let ((_let_37 (not _let_27))) (let ((_let_38 (not (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9)))) (let ((_let_39 (not (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_40 (not (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9)))) (let ((_let_41 (not (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_42 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (and _let_42 _let_41 _let_40 _let_39 _let_38 _let_37))) (let ((_let_44 (tptp.before_on_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.before_on_line L A B) (and (tptp.distinct_points A B) (not (tptp.left_apart_point A L)) (not (tptp.left_apart_point A _let_1)) (not (tptp.left_apart_point B L)) (not (tptp.left_apart_point B _let_1)) (not (tptp.unequally_directed_lines L (tptp.line_connecting A B))))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((tptp.before_on_line L A B)))) (let ((_let_50 (tptp.before_on_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_44))) (let ((_let_53 (tptp.line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 (not _let_42) _let_52 _let_51))) (let ((_let_56 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (or (not (tptp.line L)) (not (tptp.distinct_points A B)) (not (tptp.before_on_line L A B)) (not (tptp.before_on_line L B A)))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (or))) (let ((_let_60 (not _let_56))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_58) :args (_let_60))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) (REFL :args (_let_57)) :args _let_59)) _let_58 :args (_let_57 true _let_56)))) (let ((_let_62 (REFL :args (_let_55)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 5)) :args ((or _let_37 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_52 _let_43 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 2)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_44))) :args _let_59)) :args ((or _let_44 _let_55))) _let_61 :args (_let_44 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_43 false _let_44 false _let_45)) :args (_let_37 false _let_43)))) (let ((_let_64 (or _let_20 _let_14 _let_11))) (let ((_let_65 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (or (not (tptp.unequally_directed_lines L M)) (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines M N))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((not (= (tptp.unequally_directed_lines L M) false)) (not (= (tptp.unequally_directed_lines L N) true))))) (let ((_let_69 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_70 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_19))) (let ((_let_73 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (or _let_54 _let_54 _let_73 _let_70))) (let ((_let_75 (forall ((L $$unsorted) (M $$unsorted)) (or (not (tptp.line L)) (not (tptp.line M)) (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_6))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((not (= (tptp.unequally_directed_lines L L) false))))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_74))) :args ((or _let_54 _let_73 _let_70 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_59)) :args ((or _let_53 _let_55))) _let_61 :args (_let_53 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args ((not _let_73) false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.line M) false)) (not (= (tptp.line L) false))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_70 false _let_53 true _let_73 false _let_74)))) (let ((_let_81 (not _let_69))) (let ((_let_82 (and (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_39 _let_38 _let_41 _let_40 _let_81))) (let ((_let_83 (= _let_50 _let_82))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_69 _let_71 _let_19 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 5)) :args ((or _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or _let_51 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 3)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_59)) :args ((or _let_50 _let_55))) _let_61 :args (_let_50 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_83 false _let_46)) :args (_let_82 false _let_50 false _let_83)) :args (_let_81 false _let_82)) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 _let_10 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_72 false _let_65)) :args (_let_19 true _let_69 false _let_70 false _let_72)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args ((not _let_14) false _let_6)))) (let ((_let_86 (not _let_30))) (let ((_let_87 (_let_2))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.line_connecting A B)))) (let ((_let_90 (tptp.unequally_directed_lines _let_25 _let_16))) (let ((_let_91 (tptp.unequally_directed_lines _let_25 _let_9))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90 _let_17))) (let ((_let_94 (tptp.unequally_directed_lines _let_9 _let_25))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_14 _let_91))) (let ((_let_97 (or _let_71 _let_27 _let_94))) (let ((_let_98 (not _let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_9 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.unequally_directed_lines M _let_35) (tptp.unequally_directed_lines L _let_35)))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_15 _let_20 _let_18 _let_13 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_14 _let_98))) _let_85 :args (_let_98 true _let_14)) _let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_90 _let_92 _let_17 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args ((not _let_90) false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_14 _let_95 _let_91 (not _let_96)))) _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_27 _let_71 _let_94 (not _let_97)))) _let_63 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 _let_25 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_97 false _let_65)) :args (_let_94 true _let_27 false _let_70 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_9 _let_25 _let_9 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_96 false _let_65)) :args (_let_91 true _let_14 false _let_94 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_25 _let_9 _let_16 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_93 false _let_65)) :args (_let_17 true _let_90 false _let_91 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_12 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_30 _let_32 _let_31 _let_28 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_29 _let_86))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87)) _let_88 :args ((not _let_29) false _let_2)) :args (_let_86 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_14 _let_20 _let_11 (not _let_64)))) _let_85 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_9 _let_10 _let_9 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_67)) _let_66 :args (_let_64 false _let_65)) :args (_let_11 true _let_14 false _let_19 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 _let_36))) _let_63 :args (_let_36 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.unequally_directed_lines L (tptp.reverse_line M)) false)) _let_35))) :args _let_34)) _let_22 :args (_let_33 false _let_8)) :args (_let_32 true _let_30 false _let_11 true _let_28 false _let_33)) :args (_let_24 true _let_12)) :args (_let_23 true _let_15 false _let_19 false _let_17 true _let_13)) _let_22 :args (false true _let_21 false _let_8)) :args ((forall ((A $$unsorted) (L $$unsorted)) (= (tptp.apart_point_and_line A L) (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))) (forall ((L $$unsorted) (M $$unsorted)) (= (tptp.convergent_lines L M) (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.divides_points L A B) (or (and (tptp.left_apart_point A L) (tptp.left_apart_point B _let_1)) (and (tptp.left_apart_point A _let_1) (tptp.left_apart_point B L)))))) _let_7 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.between_on_line L A B C) (or (and (tptp.before_on_line L A B) (tptp.before_on_line L B C)) (and (tptp.before_on_line L C B) (tptp.before_on_line L B A))))) (forall ((A $$unsorted)) (not (tptp.distinct_points A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.distinct_points A B) (or (tptp.distinct_points A C) (tptp.distinct_points B C)))) (forall ((L $$unsorted)) (not (tptp.distinct_lines L L))) (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.distinct_lines L M) (or (tptp.distinct_lines L N) (tptp.distinct_lines M N)))) _let_6 _let_5 _let_4 _let_3 (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L _let_1)) (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L _let_1))))) (forall ((A $$unsorted) (L $$unsorted)) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))) (forall ((L $$unsorted) (M $$unsorted)) (not (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L (tptp.reverse_line M))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.point A) (tptp.point B) (tptp.distinct_points A B)) (tptp.line (tptp.line_connecting A B)))) (forall ((L $$unsorted) (M $$unsorted)) (=> (and (tptp.line L) (tptp.line M) (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (tptp.point (tptp.intersection_point L M)))) (forall ((L $$unsorted) (A $$unsorted)) (=> (and (tptp.point A) (tptp.line L)) (tptp.line (tptp.parallel_through_point L A)))) (forall ((L $$unsorted)) (=> (tptp.line L) (tptp.line (tptp.reverse_line L)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.line_connecting A B))) (=> (tptp.distinct_points A B) (and (not (tptp.apart_point_and_line A _let_1)) (not (tptp.apart_point_and_line B _let_1)))))) (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.intersection_point L M))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (and (not (tptp.apart_point_and_line _let_1 L)) (not (tptp.apart_point_and_line _let_1 M)))))) (forall ((A $$unsorted) (L $$unsorted)) (not (tptp.apart_point_and_line A (tptp.parallel_through_point L A)))) (forall ((L $$unsorted)) (not (tptp.distinct_lines L (tptp.reverse_line L)))) _let_2 (forall ((A $$unsorted) (L $$unsorted)) (not (tptp.unequally_directed_lines (tptp.parallel_through_point L A) L))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (let ((_let_2 (tptp.reverse_line L))) (=> (and (tptp.distinct_points A B) (tptp.distinct_lines L M)) (or (tptp.left_apart_point A L) (tptp.left_apart_point B L) (tptp.left_apart_point A M) (tptp.left_apart_point B M) (tptp.left_apart_point A _let_2) (tptp.left_apart_point B _let_2) (tptp.left_apart_point A _let_1) (tptp.left_apart_point B _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (=> (and (tptp.distinct_points A B) (tptp.left_apart_point A L)) (or (tptp.left_apart_point B L) (tptp.left_convergent_lines (tptp.line_connecting A B) L)))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (=> (tptp.left_apart_point A L) (or (tptp.distinct_points A B) (tptp.left_apart_point B L)))) (forall ((A $$unsorted) (L $$unsorted) (M $$unsorted)) (=> (and (tptp.left_apart_point A L) (tptp.unequally_directed_lines L M)) (or (tptp.distinct_lines L M) (tptp.left_apart_point A (tptp.reverse_line M))))) (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.left_convergent_lines L M) (or (tptp.unequally_directed_lines M N) (tptp.left_convergent_lines L N)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.73  )
% 0.19/0.73  % SZS output end Proof for GEO255+1
% 0.19/0.73  % cvc5---1.0.5 exiting
% 0.19/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------