TSTP Solution File: GEO259+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 22:50:55 EDT 2023
% Result : Theorem 10.46s 10.68s
% Output : Proof 10.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:32:58 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.46/10.68 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gOtwTW61uJ/cvc5---1.0.5_16487.p...
% 10.46/10.68 ------- get file name : TPTP file name is GEO259+1
% 10.46/10.68 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16487.smt2...
% 10.46/10.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.46/10.68 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.46/10.68 % SZS status Theorem for GEO259+1
% 10.46/10.68 % SZS output start Proof for GEO259+1
% 10.46/10.68 (
% 10.46/10.68 (let ((_let_1 (not (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.line L) (tptp.distinct_points A C) (tptp.distinct_points B C) (tptp.distinct_points A B)) (not (and (tptp.between_on_line L A B C) (tptp.between_on_line L B A C)))))))) (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)) (not (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L (tptp.reverse_line M))))))) (let ((_let_4 (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))))))) (let ((_let_5 (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_6 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (or (and (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines L _let_1)) (and (tptp.unequally_directed_lines M N) (tptp.unequally_directed_lines M _let_1)))))))) (let ((_let_7 (forall ((L $$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_8 (forall ((L $$unsorted)) (not (tptp.unequally_directed_lines L L))))) (let ((_let_9 (forall ((L $$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_10 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_12 (tptp.unequally_directed_lines _let_10 _let_10))) (let ((_let_13 (tptp.unequally_directed_lines _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_11))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (tptp.reverse_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (and _let_13 (tptp.unequally_directed_lines _let_10 _let_18)))) (let ((_let_20 (tptp.unequally_directed_lines _let_18 _let_18))) (let ((_let_21 (and (tptp.unequally_directed_lines _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_20))) (let ((_let_22 (tptp.reverse_line _let_10))) (let ((_let_23 (tptp.unequally_directed_lines _let_18 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.unequally_directed_lines _let_18 _let_10))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_21 _let_19))) (let ((_let_28 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (or (not (tptp.unequally_directed_lines L M)) (not (tptp.unequally_directed_lines L (tptp.reverse_line M))) (and (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines L _let_1)) (and (tptp.unequally_directed_lines M N) (tptp.unequally_directed_lines M _let_1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.unequally_directed_lines _let_10 _let_22))) (let ((_let_31 (or _let_26 _let_23 _let_30))) (let ((_let_32 (_let_9))) (let ((_let_33 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_11 _let_25))) (let ((_let_36 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_38 _let_36 _let_33))) (let ((_let_40 (forall ((L $$unsorted) (M $$unsorted)) (or (not (tptp.line L)) (not (tptp.line M)) (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_8))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (or _let_38 (not (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.between_on_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.between_on_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_45 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.line L)) (not (tptp.distinct_points A C)) (not (tptp.distinct_points B C)) (not (tptp.distinct_points A B)) (not (tptp.between_on_line L A B C)) (not (tptp.between_on_line L B A C)))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_51 (not _let_11))) (let ((_let_52 (or _let_51 _let_50 _let_30))) (let ((_let_53 (tptp.left_convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_54 (tptp.left_convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_55 (not _let_50))) (let ((_let_56 (or _let_51 _let_55 _let_54 _let_53))) (let ((_let_57 (_let_2))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args ((not _let_30) false _let_2)))) (let ((_let_60 (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (or (not (tptp.unequally_directed_lines L M)) (not (tptp.unequally_directed_lines L _let_1)) (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L _let_1)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((BOUND_VARIABLE_1022 $$unsorted) (BOUND_VARIABLE_1024 $$unsorted)) (not (tptp.left_convergent_lines BOUND_VARIABLE_1022 BOUND_VARIABLE_1024))))) (let ((_let_63 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args (0)))) (let ((_let_64 (_let_62))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_51 _let_55 _let_54 _let_53 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_64)) _let_63 :args ((not _let_54) false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_64)) _let_63 :args ((not _let_53) false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_ENUM)) :args (_let_60))) _let_61 :args (_let_56 false _let_60)) (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_30 _let_50 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_16 :args (_let_52 false _let_9)) _let_59 :args (_let_51 true _let_54 true _let_53 false _let_56 false _let_50 false _let_52 true _let_30)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_11 _let_34 _let_25 (not _let_35)))) _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_39))) :args ((or _let_38 _let_36 _let_33 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_48)) :args ((or _let_37 _let_44))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)) :args (_let_37 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args ((not _let_36) false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_33 false _let_37 true _let_36 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 _let_10 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_16 :args (_let_35 false _let_9)) :args (_let_25 true _let_11 false _let_33 false _let_35)))) (let ((_let_68 (not _let_21))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_11 _let_12 _let_14 _let_17))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_10 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args ((not _let_12) false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_13 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_21 _let_19 _let_26 _let_24 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_20 _let_68))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_18 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args ((not _let_20) false _let_8)) :args (_let_68 true _let_20)) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_26 _let_23 (not _let_31)))) _let_59 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_18 _let_10 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_16 :args (_let_31 false _let_9)) :args (_let_23 true _let_30 false _let_25 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_18 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_19 true _let_21 false _let_25 false _let_23 false _let_27)) :args (_let_13 false _let_19)) :args (_let_17 true _let_11 true _let_12 false _let_13)) _let_16 :args (false true _let_15 false _let_9)) :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)))))) (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.before_on_line L A B) (and (tptp.distinct_points A B) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A _let_1))) (not (or (tptp.left_apart_point B L) (tptp.left_apart_point B _let_1))) (not (tptp.unequally_directed_lines L (tptp.line_connecting A B))))))) (forall ((L $$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 $$unsorted)) (=> (tptp.distinct_lines L M) (or (tptp.distinct_lines L N) (tptp.distinct_lines M N)))) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted) (L $$unsorted)) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))) _let_3 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.46/10.69 )
% 10.46/10.69 % SZS output end Proof for GEO259+1
% 10.46/10.69 % cvc5---1.0.5 exiting
% 10.46/10.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------